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UNITED STATES
UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549
FORM 10-K
ANNUAL REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
OR
TRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the Fiscal Year Ended
December 31, 20192022
Commission File No.001-16209
acgl-20221231_g1.jpg
ARCH CAPITAL GROUP LTD.
(Exact name of registrant as specified in its charter)
Bermuda98-0374481
(State or other jurisdiction of incorporation or organization)(I.R.S. Employer Identification No.)
Waterloo House, Ground Floor
100 Pitts Bay Road,PembrokeHM 08,Bermuda(441)278-9250
(Address of principal executive offices)(Registrant’s telephone number, including area code)

Securities registered pursuant to Section 12(b) of the Exchange Act:
Title of each classTrading Symbol (s)Name of each exchange on which registered
Common Shares, $0.0011 par value per shareACGLNASDAQStock Market
Depositary shares, each representing a 1/1,000th interest in a 5.25% Series E preferred share
ACGLPNASDAQStock Market
Depositary shares, each representing a 1/1,000th interest in a 5.45% Series F preferred share
ACGLONASDAQStock Market
Depositary shares, each representing a 1/1,000th interest in a 4.55% Series G preferred shareACGLNNASDAQStock Market

Securities registered pursuant to Section 12(g) of the Exchange Act: None

Indicate by check mark if the registrant is a well-known seasoned issuer, as defined in Rule 405 of the Securities Act. Yes No

Indicate by check mark if the registrant is not required to file reports pursuant to Section 13 or Section 15(d) of the Exchange Act.
Yes     No

Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Exchange Act during the preceding 12 months (or for such shorter period that the registrant was required to file such reports), and (2) has been subject to such filing requirements for the past 90 days. Yes No
        
Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit such files). Yes No

Indicate by check mark if disclosure of delinquent filers pursuant to Item 405 of Regulation S-K (§229.405 of this chapter) is not contained herein, and will not be contained, to the best of registrant’s knowledge, in definitive proxy or information statements incorporated by reference in Part III of this Form 10-K or any amendment to this Form 10-K.

Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, a smaller reporting company, or an emerging growth company. See the definitions of “large accelerated filer,” “accelerated filer,” “smaller reporting company,” and “emerging growth company” in Rule 12b-2 of the Exchange Act.

Large accelerated Filer Accelerated Filer Non-accelerated Filer Smaller reporting company Emerging Growth Company

If an emerging growth company, indicate by check mark if the Registrant has elected not to use the extended transition period for complying with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act. o

Indicate by check mark whether the registrant has filed a report on and attestation to its management's assessment of the effectiveness
of its internal control over financial reporting under Section 404(b) of the Sarbanes-Oxley Act (15 U.S.C. 7262(b)) by the registered
public accounting firm that prepared or issued its audit report. ☑

Indicate by check mark whether the registrant is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes   No

The aggregate market value of the voting and non-voting common equity held by non-affiliates, computed by reference to the closing price as reported by the NASDAQ Stock Market as of the last business day of the Registrant’s most recently completed second fiscal quarter, was approximately $14.6$16.3 billion.

As of February 25, 2020,17, 2023, there were 406,658,701371,196,508 of the registrant’s common shares outstanding.
DOCUMENTS INCORPORATED BY REFERENCE
Portions of Part III and Part IV incorporate by reference our definitive proxy statement for the 20202023 annual meeting of shareholders to be filed with the Securities and Exchange Commission pursuant to Regulation 14A before May 1, 2020.within 120 days after December 31, 2022.


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Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This report or any other written or oral statements made by or on behalf of us may include forward-looking statements, which reflect our current views with respect to future events and financial performance. All statements other than statements of historical fact included in or incorporated by reference in this report are forward-looking statements. Forward-looking statements, for purposes of the PSLRA or otherwise, can generally be identified by the use of forward-looking terminology such as “may,” “will,” “expect,” “intend,” “estimate,” “anticipate,” “believe” or “continue” and similar statements of a future or forward-looking nature or their negative or variations or similar terminology.
Forward-looking statements involve our current assessment of risks and uncertainties. Actual events and results may differ materially from those expressed or implied in these statements. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed below and elsewhere in this report and in our periodic reports filed with the Securities and Exchange Commission (“SEC”), and include:
our ability to successfully implement our business strategy during “soft” as well as “hard” markets;
acceptance of our business strategy, security and financial condition by rating agencies and regulators, as well as by brokers and our insureds and reinsureds;
our ability to consummate acquisitions and integrate the integration of any businessesbusiness we have acquired or may acquire into our existing operations;
our ability to maintain or improve our ratings, which may be affected by our ability to raise additional equity or debt financings, by ratings agencies’ existing or new policies and practices, as well as other factors described herein;
general economic and market conditions (including inflation, interest rates, unemployment, housing prices, foreign currency exchange rates, prevailing credit terms and the depth and duration of a recession)recession, including those resulting from COVID-19) and conditions specific to the reinsurance and insurance markets (including the length and magnitude of the current “soft” market) in which we operate;
competition, including increased competition, on the basis of pricing, capacity (including alternative sources of capital), coverage terms, or other factors;
developments in the world’s financial and capital markets and our access to such markets;
our ability to successfully enhance, integrate and maintain operating procedures (including information technology) to effectively support our current and new business;
the loss and addition of key personnel;
material differences between actual and expected assessments for guaranty funds and mandatory pooling arrangements;
accuracy of those estimates and judgments utilized in the preparation of our financial statements, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, investment valuations, intangible assets, bad debts, income taxes, contingencies and litigation, and any determination to use the deposit method of accounting;
greater than expected loss ratios on business written by us and adverse development on claim and/or claim expense liabilities related to business written by our insurance and reinsurance subsidiaries;
the adequacy of the Company’s loss reserves;
severity and/or frequency of losses;
greater frequency or severity of unpredictable natural and man-made catastrophic events;
claims for natural or man-made catastrophic events or severe economic events in our insurance, reinsurance and mortgage businesses could cause large losses and substantial volatility in our results of operations;
the effect of climate change on our business;
the effect of contagious diseases (including coronavirus)COVID-19) on our business;
acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
availability to us of reinsurance to manage our gross and net exposures and the cost of such reinsurance;

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the failure of reinsurers, managing general agents, third party administrators or others to meet their obligations to us;
the timing of loss payments being faster or the receipt of reinsurance recoverables being slower than anticipated by us;
our investment performance, including legislative or regulatory developments that may adversely affect the fair value of our investments;


ARCH CAPITAL12019 FORM 10-K



changes in general economic conditions, including sovereign debt concerns or downgrades of U.S. securities by credit rating agencies, which could affect our business, financial condition and results of operations;
changes in the method for determining the London Inter-bank Offered Rate (“LIBOR”) and the potential replacement of LIBOR;
the volatility of our shareholders’ equity from foreign currency fluctuations, which could increase due to us not matching portions of our projected liabilities in foreign currencies with investments in the same currencies;
changes in accounting principles or policies or in our application of such accounting principles or policies;
changes in the political environment of certain countries in which we operate or underwrite business;
a disruption caused by cyber-attackscyber attacks or other technology breaches or failures on us or our business partners and service providers, which could negatively impact our business and/or expose us to litigation;
statutory or regulatory developments, including as to tax matters and insurance and other regulatory matters such as the adoption of proposed legislation that would affect Bermuda-headquartered companies and/or Bermuda-based insurers or reinsurers and/or changes in regulations or tax laws applicable to us, our subsidiaries, brokers or customers, including the Tax Cutspossible implementation of the Organization for Economic Cooperation and Jobs Act of 2017;Development (“OECD”) Pillar I and Pillar II initiatives; and
the other matters set forth under Item 1A “Risk Factors,” Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of this Annual Report on Form 10-K, as well as the other factors set forth in Arch Capital Group Ltd.’s other documents on file with the SEC, and management’s response to any of the aforementioned factors.
All subsequent written and oral forward-looking statements attributable to us or persons acting on our behalf are expressly qualified in their entirety by these cautionary statements. The foregoing review of important factors should not be construed as exhaustive and should be read in conjunction with other cautionary statements that are included herein or elsewhere. We undertake no obligation to publicly update or revise any forward-looking statement, whether as a result of new information, future events or otherwise.



ARCH CAPITAL22022 FORM 10-K

PART I
ARCH CAPITAL22019 FORM 10-K



PART I

ITEM 1. BUSINESS
As used in this report, references to “we,” “us,” “our,” “Arch” or the “Company” refer to the consolidated operations of Arch Capital Group Ltd. (“Arch Capital”) and its subsidiaries. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted. We refer you to Item 1A “Risk“Risk Factors” for a discussion of risk factors relating to our business.
OUR COMPANY

General
Arch Capital is a publicly listed Bermuda public limited liabilityexempted company with $13.23approximately $15.6 billion in capital at December 31, 2019,2022 and is part of the S&P 500 index. Arch provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries. While we are positioned to provide a full range of property, casualty and mortgage insurance and reinsurance lines, we focus on writing specialty lines of insurance and reinsurance. For 2019,2022, we wrote $6.04$11.1 billion of net premiums and reported net income available to Arch common shareholders of $1.59$1.4 billion. Book value per share was $26.42$32.62 at December 31, 2019,2022, compared to $21.52$33.56 per share at December 31, 2018.2021.
Arch Capital’s registered office is located at Clarendon House, 2 Church Street, Hamilton HM 11, Bermuda (telephone number: (441) 295-1422), and its principal executive offices are located at Waterloo House, Ground Floor, 100 Pitts Bay Road, Pembroke HM 08, Bermuda (telephone number: (441) 278-9250). Arch Capital makes available free of charge through its website, located at www.archcapgroup.comwww.archgroup.com, its annual reports on Form 10-K, quarterly reports on Form 10-Q, current reports on Form 8-K, and all amendments to those reports as soon as reasonably practicable after such material is electronically filed with, or furnished to, the SEC.U.S. Securities and Exchange Commission (“SEC”). The SEC maintains an Internet site that contains reports, proxy and information statements, and other information regarding issuers that file electronically with the SEC (such as Arch Capital) and the address of that site is www.sec.gov.
Our History
Arch Capital was formed in September 2000 and became the sole shareholder of Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) pursuant to an internal reorganization transaction completed in November 2000. In October 2001, Arch Capital launched an underwriting initiative to meet current and future demand in the global insurance and reinsurance markets that included the recruitment of new management teams and an equity capital infusion of $763.2 million, which created a strong
capital base that was unencumbered by significant pre-2002 risks. Since then, we have attracted a proven management team with extensive industry experience and enhancedcontinued to build our existing global underwriting platform for our insurance, reinsurance and mortgage insurance and reinsurance businesses as described below.businesses.
Our insurance underwriting platform initially consisted of our Bermuda and U.S. operations, followed by the establishment of our United Kingdom-based carrier, Arch Insurance (Bermuda), a division of Arch Reinsurance Ltd. (“Arch Re Bermuda”(U.K.), our Bermuda-based reinsurer and insurer, and our U.S.-licensed insurers, Arch Insurance Company (“Arch Insurance”), Arch Excess & Surplus Insurance Company (“Arch E&S”), Arch Specialty Insurance Company (“Arch Specialty”) and Arch Indemnity Insurance Company (“Arch Indemnity”).
We established Arch Insurance (UK) Limited (“Arch Insurance (U.K.)”), our United Kingdom-based subsidiary, in 2004 and we expanded our North American presence when Arch Insurance opened a branch officeCanadian operations in Canada in 2005. In 2013, Arch Insurance Canada Ltd. (“Arch Insurance Canada”), a Canada domestic company, commenced operations and replaced the branch office. In 2009, we established a managing agentagency and syndicate 2012 (“Arch Syndicate 2012”) at Lloyd’s of London (“Lloyd’s”) and significantly expanded our U.K. presence in 2019 through the acquisition of Barbican Group Holdings Limited (“Barbican Holdings”) and its subsidiaries (collectively, “Barbican”). Our U.S. platform grew with the 2018 we acquiredacquisition of McNeil & Company, Inc. (“McNeil”), a U.S. nationwide leader in specialized risk management and program administration.
We expanded our insurance platform in 2019 through two acquisitions. In January 2019 we acquired a book of U.K. commercial lines business from Ardonagh Group and are writing this business through Arch Insurance (U.K.) (“Arch U.K. Regional Division”). In November 2019, we completed the acquisition of Barbican Group Holdings Limited (“Barbican Holdings”), a Guernsey company, and its subsidiaries, including Barbican Managing Agency Limited (“BMAL”) and Lloyd’s Syndicate 1955 (“Barbican Syndicate 1955”). BMAL also provides Managing Agency services to Third Party Capital Syndicate 1856 (“Arcus”). Barbican Holdings also includes Castel Underwriting Agencies Limited (“Castel”) and other associated entities (collectively, “Barbican”). We also acquired U.K. commercial lines business from Ardonagh Group in January 2019, and this business is now written through Arch Insurance (U.K.) (“Arch U.K. Regional Division”). See “Operations—Insurance Operations” for further details on our insurance operations.

Our reinsurance underwriting platform initially consisted of Arch Reinsurance Ltd. in Bermuda (“Arch Re BermudaBermuda”) and Arch Reinsurance Company (“Arch Re U.S.”), our U.S.-licensed reinsurer. Our reinsurance operations


ARCH CAPITAL32019 FORM 10-K



in Europe began in 2006 in Zurich, Switzerland and with the formation of a Swiss branch of Arch Re Bermuda, and the formation of a Danish underwriting agency in 2007. In addition to the U.S. reinsurance treaty activities of Arch Re U.S., we launched our property facultative reinsurance underwriting operations in 2007, which underwrite in the U.S., Canada and Europe. In 2008, we formed Arch Reinsurance Europe Designated Activity Company (“Arch Re Europe”), our Ireland-based reinsurance company which replaced the Swiss branch. We launched treaty operationsheadquartered in CanadaIreland with offices in 2011Switzerland and the following year we acquired the credit and surety reinsurance operations of Ariel Reinsurance Company Ltd.U.K. The acquisition of Barbican in November 2019 also contributed to our reinsurance operations. In 2021, Arch Re Bermuda completed the acquisition of Somerset Bridge Group Limited, Southern Rock Holdings Limited and affiliates (“Somerset Group”). The acquisition included Somerset’s motor insurance managing general agent, distribution capabilities through

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direct and aggregator channels, affiliated insurer and fully integrated claims operation. See “Operations—Reinsurance Operations” for further details on our reinsurance operations.
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations, as well as participation in government sponsored enterprise (“GSE”) credit risk-sharing transactions. Formed in 2011, Arch Insurance (EU) Designated Activity Company (formerly, Arch Mortgage Insurance Designated Activity Company) (“Arch Insurance (EU)”), provides mortgage insurance products and services to the European market.
OurThe U.S. mortgage platform was built through the acquisition of CMG Mortgage Insurance Companyestablished in 2014 (subsequently renamed Arch Mortgage Insurance Company). We furtherand expanded our U.S. operationsgreatly in 2016 through the acquisition of United Guaranty Corporation (“UGC”) (including United Guaranty Residential Insurance Company), from American International Group, Inc. (“AIG”). We acquired AIG United Guaranty Insurance (Asia) Limited (renamed “Arch MI Asia Limited”) from AIG in 2017. In January 2019, Arch LMI Pty Ltd (“Arch LMI”) was authorized by the Australian Prudential Regulation Authority (“APRA”) to write lenders’ mortgage insurance on a direct basis in Australia.
Our U.S. primary mortgage operations provide mortgage insurance products and services to the U.S. market. These operations include providers thatwhich are also approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE. The mortgage operations also include participation in GSE credit risk-sharing transactions and direct mortgage insurance to U.S. mortgage lenders with respect to mortgages that lenders intend to retain in portfolio or include in non-agency securitizations along with mortgage insurance and reinsurance on a global basis. Our European business is written through our Ireland-based carrier, Arch Insurance (EU) Designated Activity Company (“Arch Insurance (EU)”), which was authorized in 2011 to provide mortgage insurance products and services to the European and U.K. markets. In 2019, Arch LMI Pty Ltd. (“Arch LMI”) was authorized by the Australian Prudential Regulation Authority (“APRA”) to write lenders’ mortgage insurance on a direct basis in Australia. We expanded our presence in Australia in August 2021 by acquiring Westpac Lenders Mortgage Insurance Limited, another APRA approved writer of lenders’ mortgage insurance, which has since been renamed Arch Lenders Mortgage Indemnity Ltd. (“Arch Indemnity”). In December 2022, we converted Arch LMI into a services company for our Australian LMI operations and the company relinquished its APRA authorization. See “Operations—Mortgage Operations” for further details on our mortgage operations.
It is our belief that our underwriting platform, our experienced management team and our strong capital base have enabled us to establish a strong presence in the markets in which we participate in.participate.
In 2014, we acquired approximately 11% of Somers Holdings Ltd. (formerly Watford Holdings Ltd. Watford). Somers Holdings Ltd. is the parent of Somers Re Ltd. (formerly Watford Re Ltd.), a multi-line Bermuda reinsurance company (together with WatfordSomers Holdings Ltd., “Watford”“Somers”). In the 2020 fourth quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch Capital assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd. (“Greysbridge”). The merger and the related Greysbridge
equity financing closed on July 1, 2021. Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch, 30% by certain funds managed by Kelso & Company (“Kelso”) and 30% by certain funds managed by Warburg Pincus LLC (“Warburg”). In 2017, we acquired approximately 25% of Premia Holdings Ltd. Premia Holdings Ltd. is the parent of Premia Reinsurance Ltd., a multi-line Bermuda reinsurance company (together with Premia Holdings Ltd., “Premia”). In 2021, the Company completed the share purchase agreement with Natixis, a French financial services firm, to purchase 29.5% of the common equity of Coface SA (“Coface”), a France-based leader in the global trade credit insurance market. See “Operations—Other Operations” for further details on WatfordSomers, Premia and Premia.Coface.
The boardBoard of directorsDirectors of Arch Capital (the “Board”) has authorized the investment in Arch Capital’s common shares through a share repurchase program. Repurchases under the share repurchase program may be effected from time to time in open market or privately negotiated transactions through December 31, 2021.2024. Since the inception of the share repurchase program in February 2007 through December 31, 2019,2022, Arch Capital has repurchased 386.3433.6 million common shares for an aggregate purchase price of $3.97$5.9 billion. At December 31, 2019,2022, the total remaining authorization under the share repurchase program was $1.00$1.0 billion. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including results of operations, market conditions and the development of the economy, as well as other factors. We will consider share repurchases on an opportunistic basis. During the 2022 fiscal year, we repurchased 12,891,405 shares for an aggregate amount of $585.8 million under our share repurchase program.
OPERATIONS

We classify our businesses into three underwriting segments —segments– insurance, reinsurance and mortgage and two other operating segments — ‘other’segments– corporate and corporate (non-underwriting).‘other.’ For an analysis of our underwriting results by segment, see note 4, “Segment Information,” to our consolidated financial statements in Item 8 and “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Results of Operations.”
COVID-19 Pandemic
The global pandemic resulting from the coronavirus (including variants of the coronavirus “COVID-19”) disrupted the global economy, causing a significant slowdown in economic activity around the world. Businesses around the world, including ours, were impacted by the restrictions on travel, some business activities and non-essential services and the severe curtailment of normal

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activities. During 2022, the restrictions relating to the pandemic were largely lifted in the regions where we do business, shifting us to an endemic stage in 2023. Our employees and businesses have adapted to the changing needs of our clients, customers and business partners with our 5,800 employees returning to the office under a hybrid work model.
Insurance Operations
Our insurance operations are conducted in Bermuda, the United States, the United Kingdom, Europe, Canada, and Australia. Our insurance operations in Bermuda are conducted through Arch Insurance (Bermuda), a division of Arch Re Bermuda, and Alternative Re Limited.
In the U.S., our insurance group’s principal insurance subsidiaries are Arch Insurance Company (“Arch Insurance”), Arch Specialty Insurance Company (“Arch Specialty”), Arch Indemnity Insurance Company (“Arch Indemnity Insurance”) and Arch E&S.Property Casualty Insurance Company (“Arch P&C”). Arch Insurance is an admitted insurer in 50 states, the District of Columbia, Puerto Rico, the U.S. Virgin Islands and Guam. Arch Specialty is an approved excess and surplus lines insurer in 4950 states, the District of Columbia, Puerto Rico and the U.S. Virgin Islands and an authorized insurer in one state. Arch Indemnity Insurance is an admitted insurer in 4950 states and the District of Columbia. Arch E&S,P&C, which is not currently writing business, is an approved excess and surplus linesadmitted insurer in 4740 states and the District of Columbia and an authorized insureris filing applications for admission in one state.all remaining states where it is not yet admitted. Our insurance group also operates McNeil, a specialized risk manager and a program administrator based in Cortland, New York. The headquarters


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for our insurance group’s U.S. support operations (excluding underwriting units) are in Jersey City, New Jersey. The insurance group has offices throughout the U.S., including five regional offices located in Alpharetta, Georgia, Chicago, Illinois, New York, New York, San Francisco, California, Dallas, Texas and additional branch offices.
Our insurance operations in Canada are conducted through Arch Insurance Canada Ltd. (“Arch Insurance Canada”), a Canada domestic company which is authorized in all Canadian provinces and territories. Arch Insurance Canada is headquartered in Toronto, Ontario.
In 2019, Arch Insurance (EU), based in Dublin, Ireland, received authorization from the Central Bank of Ireland (“CBOI”CBI”) to expand its authorized classes of business as part of our plan to address the U.K.’s departure from the European Union (“Brexit”). At the end of 2020, Arch Insurance (U.K.) received court approval in the U.K. to transfer its legacy book of business written in the European Economic Area (“EEA”) to Arch Insurance (EU) under Part VII of the U.K. Financial Services and Markets Act 2000. As
of January 2020, all of the insurance business in the European Union (“EU”) previously written by Arch Insurance (U.K.) is now written through Arch Insurance (EU). Arch Insurance (EU) has branches in Denmark, Italy and the U.K. Following the acquisition of Barbican, we
We conduct insurance operations on several platforms in the U.K., including Arch Insurance (U.K.), and our Lloyd’s syndicates: Arch Syndicate 2012 (“Arch Syndicate 2012”) and BarbicanArch Syndicate 1955. In addition, BMAL also provides managing agency services to Third Party Capital1955 (“Arch Syndicate 1856. Barbican also includes Castel Underwriting Agencies1955” and, together with Arch Syndicate 2012, our “Lloyd’s Syndicates”). Arch Managing Agency Limited (“Castel”). Collectively, the U.K. insurance operations are referred to as “Arch U.K.”. Arch U.K. operations include the Arch U.K. Regional Division, which underwrites U.K. commercial lines. Arch U.K. conducts its operations from London, England, and other locations in the U.K. and also has branches in Germany, Italy, Spain and Denmark.
Arch Underwriting at Lloyd’s Ltd (“AUAL”AMAL”) is the managing agent of Arch Syndicate 2012 and is responsible for the daily management of Arch Syndicate 2012. BMAL is the managing agent of Barbican Syndicate 1955 with daily management of Barbican Syndicate 1955 and Arcus Syndicate 1856. Arch Syndicate 2012 and Barbican Syndicate 1955our Lloyd’s Syndicates. These operations provide us access to Lloyd’s extensive distribution network and worldwide licenses. AMAL also acts as managing agent for third party members of Arch Syndicate 1955. Arch Underwriting at Lloyd’s (Australia) Pty Ltd, based in Sydney, Australia, is a Lloyd’s services company which underwrites exclusively for our Lloyd’s Syndicates. As part of the Barbican acquisition, we also acquired Castel Underwriting Agencies Limited (“Castel”) in the U.K. and Castel Underwriting Europe BV in the Netherlands, giving us additional underwriting intermediary capabilities for our underwriting platforms. Collectively, the U.K. insurance operations are referred to as “Arch U.K.”Arch Syndicate 2012. Arch Underwriting Agency (Australia) Pty. Ltd. is an Australian agency which also underwrites for Arch Syndicate 2012U.K. conducts its operations from London and third parties.other locations in the U.K.
Strategy. Our insurance group’s strategy is to operate in lines of business in which underwriting expertise can make a meaningful difference in operating results. The insurance group focuses on talent-intensive rather than labor-intensive business and seeks to operate profitably (on both a gross and net basis) across all of its product lines. To achieve these objectives, our insurance group’s operating principles are to:
Capitalize on profitable underwriting opportunities. Our insurance group believes that its experienced management and underwriting teams are positioned to locate and identify business with attractive risk/reward characteristics. As profitable underwriting opportunities are identified, our insurance group will continue to grow its product portfolio in order to take advantage of market trends. This includes adding underwriting and other professionals with specific expertise in specialty lines of insurance.
•    Centralize responsibility for underwriting. Our insurance group consists of a range of product lines. The underwriting executive in charge of each product line oversees all aspects of the underwriting product development process within such product line. Our insurance group believes that centralizing the control of such product line with the respective underwriting executive allows for close management of underwriting and creates clear accountability for results. Our U.S. insurance group has five regional offices, and the

Capitalize on profitable underwriting opportunities. Our insurance group believes that its experienced management and underwriting teams are positioned to locate and identify business with attractive risk/reward characteristics. As profitable underwriting opportunities are identified, our insurance group will continue to seek to make additions to its product portfolio in order to take advantage of market trends. This includes adding underwriting and other professionals with specific expertise in specialty lines of insurance.
Centralize responsibility for underwriting. Our insurance group consists of a range of product lines. The underwriting executive in charge of each product line oversees all aspects of the underwriting product development process within such product line. Our insurance group believes that centralizing the control of such product line with the respective underwriting executive allows for close management of underwriting and creates clear accountability for results. Our U.S. insurance group has four regional offices, and the executive in charge of each region is primarily responsible for all aspects of the marketing and distribution of our insurance group’s products, including the management of broker and other producer relationships in such executive’s respective region. In our non-U.S. offices, a similar philosophy is observed, with responsibility for the management of each product line residing with the senior underwriting executive in charge of such product line.
Maintain a disciplined underwriting philosophy. Our insurance group’s underwriting philosophy is to generate an underwriting profit through prudent risk selection and proper pricing. Our insurance group believes that the key to this approach is adherence to uniform underwriting standards across all types of business. Our insurance group’s senior management closely monitors the underwriting process.
Focus on providing superior claims management. Our insurance group believes that claims handling is an integral component of credibility in the market for insurance products. Therefore, our insurance group believes that its ability to handle claims expeditiously and satisfactorily is a key to its success. Our insurance group employs experienced claims professionals and also utilizes experienced external claims managers (third party administrators) where appropriate.
Promote and utilize an efficient distribution system. Our insurance group believes that promoting and utilizing a multi-channel distribution system, provides efficient access to its broad customer base. Our insurance group works with select international, national and regional retail and wholesale brokers and leading managing general agencies, including McNeil, to distribute our insurance


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executive in charge of each region is primarily responsible for all aspects of the marketing and distribution of our insurance group’s products, including the management of broker and other producer relationships in such executive’s respective region. In our non-U.S. offices, a similar philosophy is observed, with responsibility for the management of each product line residing with the senior underwriting executive in charge of such product line.
•    Maintain a disciplined underwriting philosophy. Our insurance group’s underwriting philosophy is to generate an underwriting profit through prudent risk selection and proper pricing. Our insurance group believes that the key to this approach is adherence to uniform underwriting standards across all types of business. Our insurance group’s senior management closely monitors the underwriting process.
•    Focus on providing superior claims management. Our insurance group believes that claims handling is an integral component of credibility in the market for insurance products. We believe our ability to handle claims expeditiously and satisfactorily is a key to our success. Our insurance group employs experienced claims professionals and also utilizes experienced external claims managers (third party administrators) where appropriate.
•    Promote and utilize an efficient distribution system. Our insurance group believes that promoting and utilizing a multi-channel distribution system provides efficient access to its broad customer base. We work with select international, national and regional retail and wholesale brokers and leading managing general agencies and program administrators, including McNeil, to distribute our insurance products. The Arch U.K. Regional Division expands ourhas a retail distribution network in the U.K.
Grow strategic partnerships in stable and niche areas. Our insurance group aims to build more integrated long-term alignment with strategic partners offering superior access to niche opportunities, quality scalable businesses, or lines with reliable defensive qualities.
Our insurance group writes business in the U.S. on both ana U.S. admitted and U.S. non-admitted basis. Our insurance group focuses on various specialty lines, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Underwriting Philosophy. Our insurance group’s underwriting philosophy is to generate an underwriting profit (on both a gross and net basis) through prudent risk selection and proper pricing across all types of business. One key to this philosophy is the adherence to uniform underwriting
standards across each product line that focuses on the following:
•    risk selection;
•    desired attachment point;
•    limits and retention management;
•    due diligence, including financial condition, claims history, management, and product, class and territorial exposure;
•    underwriting authority and appropriate approvals; and
•    collaborative decision making.
Marketing. Our insurance group’s products are marketed principally through a group of licensed independent retail and wholesale brokers. Clients (insureds) are referred to our insurance group through a large number of international, national and regional brokers and captive managers who receive from the insured or insurer a set fee or brokerage commission usually equal to a percentage of gross premiums. In the past, ourOur insurance group also enteredmay enter into contingent commission arrangements with some brokers that provided for the payment of additional commissions based on volume or profitability of business. Currently, some of our contracts with brokers provide for additional commissions based on volume. It is the practice for the brokers and producers to make the client aware of any contingent commissions arrangements that may be in place with us. We have also entered into service agreements with select international brokers that provide access to their proprietary industry analytics. In general, our insurance group has no implied or explicit commitments to accept business from any particular broker and neither brokers nor any other third parties have the authority to bind our insurance group, except in the case where underwriting authority may be delegated contractually to select program administrators. Such administrators are subject to a due diligence financial and operational due diligence review prior to any such delegation of authority and ongoing reviews and audits are carried out as deemed necessary by our insurance group to assure the continuing integrity of underwriting and related
business operations. See “Risk Factors—Risks Relating to Our Company—Industry, Business and Operations—We could be materially adversely affected to the extent that managing general agents, general agents and other producers exceedimportant third parties with whom we do business do not adequately or appropriately manage their underwriting authorities or if our agents, our insureds or other third partiesrisks, commit fraud or otherwise breach obligations owed to us.” For information on major brokers, see note 17,18, “Commitments and Contingencies—Concentrations of Credit Risk,” to our consolidated financial statements in Item 8.
Risk Management and Reinsurance. In the normal course of business, our insurance group may cede a portion of its premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Reinsurance arrangements do not relieve our insurance group from its

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primary obligations to insureds. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance subsidiaries would be liable for such defaulted amounts. Our principal insurance subsidiaries, with oversight by a group-wide reinsurance steering committee (“RSC”), are selective with regard to reinsurers, seeking to place reinsurance with only those reinsurers which meet and maintain specific standards of established criteria for financial strength. The RSC evaluates the financial viability of its reinsurers through financial analysis, research and review of rating agencies’ reports and also monitors reinsurance recoverables and collateral with unauthorized reinsurers. The financial analysis includes ongoing qualitative and quantitative assessments of reinsurers, including a review of the financial stability, appropriate licensing, reputation, claims paying ability and underwriting philosophy of each reinsurer. Our insurance group will continue to evaluate its reinsurance requirements. See note 7,8, “Reinsurance,” to our consolidated financial statements in Item 8.
For catastrophe-exposed insurance business, our insurance group seeks to limit the amount of exposure to catastrophic losses it assumes through a combination of managing aggregate limits, underwriting guidelines and reinsurance. For a discussion of our risk management policies, see “Management’s“Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Estimates—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Claims Management. Our insurance group’s claims management function is performed by claims professionals, as well as experienced external claims managers (third party administrators), where appropriate. In addition to investigating, evaluating and resolving claims, members of our insurance group’s claims departments work with underwriting


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professionals as functional teams in order to develop products and services desired by the group’s clients.
Reinsurance Operations
Our reinsurance operations are conducted on a worldwide basis through our reinsurance subsidiaries, Arch Re Bermuda, Arch Re U.S., Arch Syndicate 2012, Arch Syndicate 1955 and Arch Re Europe. Arch Re Bermuda is dual-licensed as a registered Class 4 general business insurer and Class C long-term insurer and is headquartered in Hamilton, Bermuda. Arch Re Bermuda has been approved as a “certified reinsurer” in certain U.S. states that allow reduced collateral for reinsurance ceded to such reinsurers. Arch Re Bermuda has also been approved in certain U.S. states as a “reciprocal jurisdiction reinsurer,” which allows ceding
companies to eliminate collateral requirements for reinsurance ceded to such reinsurers and still take credit for that reinsurance. Arch Re U.S. is licensed or is an accredited or otherwise approved reinsurer in 50 states, the District of Columbia and Puerto Rico, the provinces of Ontario and Quebec in Canada with its principal U.S. offices in Morristown, New Jersey. Treaty operations in Canada are conducted through the Canadian branch of Arch Re U.S. (“Arch Re Canada”). Arch Re U.S. is also an admitted insurer in Guam. Our property facultative reinsurance operations are conducted primarily through Arch Re U.S. The property facultative reinsurance operations have offices throughout the U.S., Canada, Europe and in Europe.the U.K. Arch Re Europe, licensed and authorized as a non-life reinsurer and a life reinsurer, is headquartered in Dublin, Ireland with branch offices outside the EEA in Zurich and London. AMAL is the managing agent for the reinsurance operations of Arch Syndicate 2012 and Arch Syndicate 1955.
In December 2022, Arch Group Reinsurance Ltd. (“AGRL”) was registered as a Class 3A general business insurer carrying on affiliated reinsurance business pursuant to the Insurance Act of 1978 of Bermuda. AGRL, a wholly-owned subsidiary of Arch-U.S., was established to provide internal quota share reinsurance covering certain U.S. lines of business. AGRL will be a U.S. taxpayer through a section 953(d) voluntary election under the Internal Revenue Code of 1986, as amended.
Strategy. Our reinsurance group’s strategy is to capitalize on our financial capacity, experienced management and operational flexibility to offer multiple products through our operations. The reinsurance group’s operating principles are to:
Actively select and manage risks. Our reinsurance group only underwrites business that meets certain profitability criteria, and it emphasizes disciplined underwriting over premium growth. To this end, our reinsurance group maintains centralized control over reinsurance underwriting guidelines and authorities.
Maintain flexibility and respond to changing market conditions. Our reinsurance group’s organizational structure and philosophy allows it to take advantage of increases or changes in demand or favorable pricing trends. Our reinsurance group believes that its existing platforms in Bermuda, the U.S., U.K., Europe and Canada, broad underwriting expertise and substantial capital facilitate adjustments to its mix of business geographically and by line and type of coverage. Our reinsurance group believes that this flexibility allows it to participate in those market opportunities that provide the greatest potential for underwriting profitability.

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Actively select and manage risks2022 FORM 10-K. Our reinsurance group only underwrites business that meets certain profitability criteria, and it emphasizes disciplined underwriting over premium growth. To this end, our reinsurance group maintains centralized control over reinsurance underwriting guidelines and authorities.

Maintain flexibility and respond to changing market conditions. Our reinsurance group’s organizational structure and philosophy allows it to take advantage of increases or changes in demand or favorable pricing trends. Our reinsurance group believes that its existing platforms in Bermuda, the U.S., Europe and Canada, broad underwriting expertise and substantial capital facilitate adjustments to its mix of business geographically and by line and type of coverage. Our reinsurance group believes that this flexibility allows it to participate in those market opportunities that provide the greatest potential for underwriting profitability.
Maintain a low cost structure. Our reinsurance group believes that maintaining tight control over its staffing level and operating primarily as a broker market reinsurer permits it to maintain low operating costs relative to its capital and premiums.
Our reinsurance group writes business on both a proportional and non-proportional basis and writes both treaty and facultative business. In a proportional reinsurance arrangement
(also (also known as pro rata reinsurance, quota share reinsurance or participating reinsurance), the reinsurer shares a proportional part of the original premiums and losses of the reinsured. The reinsurer pays the cedent a commission which is generally based on the cedent’s cost of acquiring the business being reinsured (including commissions, premium taxes, assessments and miscellaneous administrative expenses) and may also include a profit factor. Non-proportional (or excess of loss) reinsurance indemnifies the reinsured against all or a specified portion of losses on underlying insurance policies in excess of a specified amount, which is called a “retention.” Non-proportional business is written in layers and a reinsurer or group of reinsurers accepts a band of coverage up to a specified amount. The total coverage purchased by the cedent is referred to as a “program.” Any liability exceeding the upper limit of the program reverts to the cedent.
The reinsurance group’s treaty operations generally seek to write significant lines on less commoditized classes of coverage, such as specialty property and casualty reinsurance treaties. However, with respect to other classes of coverage, such as property catastrophe and casualty clash, the reinsurance group’s treaty operations participate in a relatively large number of treaties where they believe that they can underwrite and process the business efficiently. The reinsurance group’s property facultative operations write reinsurance on a facultative basis whereby they assume part of the risk under primarily single insurance contracts. Facultative reinsurance is typically purchased by ceding companies for individual risks not covered by their reinsurance treaties, for unusual risks or for amounts in excess of the limits on their reinsurance treaties.
OurFor additional information regarding the business written by the reinsurance group, focuses on various specialty lines, as described inplease refer to note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Underwriting Philosophy. Our reinsurance group employs a disciplined, analytical approach to underwriting reinsurance risks that is designed to specify an adequate premium for a given exposure commensurate with the amount of capital it anticipates placing at risk. A number of our reinsurance group’s underwriters are also actuaries. It is our reinsurance group’s belief that employing actuaries on the front-end of
the underwriting process gives it an advantage in evaluating risks and constructing a high quality book of business.
As part of the underwriting process, our reinsurance group typically assesses a variety of factors, including:
adequacy of underlying rates for a specific class of business and territory;
the reputation of the proposed cedent and the likelihood of establishing a long-term relationship with the cedent, the geographic area in which the cedent does business, together with its catastrophe exposures, and our aggregate exposures in that area;


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historical loss data for the cedent and, where available, for the industry as a whole in the relevant regions, in order to compare the cedent’s historical loss experience to industry averages;
projections of future loss frequency and severity; and
the perceived financial strength of the cedent.
Marketing. Our reinsurance group generally markets its reinsurance products through brokers, except our property facultative reinsurance group, which generally deals directly with the ceding companies. Brokers do not have the authority to bind our reinsurance group with respect to reinsurance agreements, nor does our reinsurance group commit in advance to accept any portion of the business that brokers submit to them. Our reinsurance group generally pays brokerage fees to brokers based on negotiated percentages of the premiums written through such brokers. For information on major brokers, see note 17,18, “Commitments and Contingencies—Concentrations of Credit Risk,” to our consolidated financial statements in Item 8.
Risk Management and Retrocession. Our reinsurance group currently purchases a combination of per event excess of loss, per risk excess of loss, proportional retrocessional agreements and other structures that are available in the market. Such arrangements reduce the effect of individual or aggregate losses on, and in certain cases may also increase the underwriting capacity of, our reinsurance group. Our reinsurance group will continue to evaluate its retrocessional requirements based on its net appetite for risk. See note 7,8, “Reinsurance,” to our consolidated financial statements in Item 8.
For catastrophe exposed reinsurance business, our reinsurance group seeks to limit the amount of exposure it assumes from any one reinsured and the amount of the aggregate exposure to catastrophe losses from a single event in any one geographic zone. For a discussion of our risk management policies, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Estimates—Ceded

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Reinsurance” and “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Claims Management. Claims management includes the receipt of initial loss reports, creation of claim files, determination of whether further investigation is required, establishment and adjustment of case reserves and payment of claims. Additionally, audits are conducted for both specific claims and overall claims procedures at the offices of selected ceding companies. Our reinsurance group makes use of outside consultants for claims work from time to time.
Mortgage Operations
Our mortgage operations provide U.S. and internationalinclude mortgage insurance and reinsurance operationsin the U.S. and internationally, as well as participation in GSE credit risk-sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S. primarily through Arch Mortgage Insurance Company, and United Guaranty Residential Insurance Company, and Arch Mortgage Guaranty Company (together, “Arch MI U.S.”); mortgage reinsurance primarily through Arch Re Bermuda to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance and reinsurance in Europethe EEA and U.K. through Arch Insurance (EU), and in Hong KongAustralia through Arch MI Asia Limited (“Arch MI Asia”);Indemnity; and participation in various GSE credit risk-sharing products primarily through Arch Re Bermuda.
In 2014, we completed the acquisition of CMG Mortgage Insurance Company from its owners, PMI Mortgage Insurance Co., (“PMI”) and CMFG Life Insurance Company (“CUNA Mutual”) and acquired PMI’s mortgage insurance platform and related assets. CMG Mortgage Insurance Company was renamed “Arch Mortgage Insurance Company” and entered the U.S. mortgage insurance marketplace.marketplace, underwriting on the Arch Mortgage Insurance Company platform. Arch Mortgage Insurance Company is licensed and operates in all 50 states, the District of Columbia and Puerto Rico. In December 2016, we completed the acquisition of UGC and its primary operating subsidiary, United Guaranty Residential Insurance Company, which is licensed and operates in all 50 states and the District of Columbia.
Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company have each been approved as an eligible mortgage insurer by Fannie Mae and Freddie Mac, subject to maintaining certain ongoing requirements (“eligible mortgage insurer”). Arch Mortgage Guaranty Company offers direct mortgage insurance to U.S. mortgage lenders with respect to mortgages that lenders intend to retain in portfolio or include in non-agency securitizations. Arch Mortgage Guaranty Company, which is licensed in all 50 states and the District of Columbia, insures mortgages that are not intended to be sold to the GSEs, and it is therefore not approved by either GSE as an eligible mortgage insurer.
Arch Insurance (EU) was licensed and authorized by the CBOI in 2011 to operate on a pan-European basis under the EU’s freedom of establishment/freedom of services rules. Arch Underwriters Europe Limited (“Arch Underwriters Europe”), an Irish company authorized as an insurance and reinsurance intermediary by the CBOI, acts on behalf of Arch Insurance (EU) and Arch Re Europe with branch offices in Italy, Switzerland, the U.K., and Finland.
In 2017 we completed the acquisition of Arch MI Asia from AIG. In January 2019, Arch LMI was authorized by APRA to write lenders’ mortgage insurance. In August 2021, we acquired Arch Indemnity, which is also authorized by APRA to write lenders’ mortgage insurance. In December 2022, we converted Arch LMI isto a services company for our Australian lenders mortgage insurance operations and the company relinquished its APRA authorization. Arch LMI and Arch Indemnity are headquartered in Sydney, Australia and focuses on providingAustralia. Following the conversion of Arch LMI, Arch Indemnity is the primary provider of direct lenders’ mortgage insurance and reinsurance to the Australian market.


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Strategy. The mortgage insurance market operates on a distinct underwriting cycle, with demand driven mainly by the housing market and general economic conditions. As a result, the creation of the mortgage group provides us with a more diverse revenue stream. Our mortgage group’s strategy is to capitalize on its financial capacity, mortgage insurance technology platform, operational flexibility and experienced management to offer mortgage insurance, reinsurance and other risk-sharing products in the U.S. and around the world.
Our mortgage group’s operating principles and goals are to:
Capitalize on profitable underwriting opportunities. Our mortgage group believes that its experienced management, analytics and underwriting teams are positioned to identify and evaluate business with attractive risk/reward characteristics.
Maintain a disciplined credit risk philosophy. Our mortgage group’s credit risk philosophy is to generate underwriting profit through disciplined credit risk analysis and proper pricing. Our mortgage group believes that the key to this approach is maintaining discipline across all phases of the applicable housing and mortgage lending cycles.
Provide superior and innovative mortgage products and services. Our mortgage group believes that it can leverage its financial capacity, experience across insurance product lines and the mortgage finance industry, and its analytics and technology to provide innovative products and superior service. The mortgage group believes that its delivery of tailored products that meet the specific, evolving needs of its customers will be a key to the group’s success.
Maintain our position as a leading provider of U.S. mortgage insurance business. With the acquisition of UGC in 2016, a leading provider of mortgage insurance products and services to national and regional banks and mortgage originators, we became a leading provider of U.S. mortgage insurance.

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Capitalize on profitable underwriting opportunities2022 FORM 10-K. Our mortgage group believes that its experienced management, analytics and underwriting teams are positioned to identify and evaluate business with attractive risk/reward characteristics.

Maintain a disciplined credit risk philosophy. Our mortgage group’s credit risk philosophy is to generate underwriting profit through disciplined credit risk analysis and proper pricing. Our mortgage group believes that the key to this approach is maintaining discipline across all phases of the applicable housing and mortgage lending cycles.

Provide superior and innovative mortgage products and services. Our mortgage group believes that it can leverage its financial capacity, experience across insurance product lines, and its analytics and technology to provide innovative products and superior service. The mortgage group believes that its delivery of tailored products that meet the specific, evolving needs of its customers will be a key to the group’s success.
Maintain our position as a leading provider of U.S. mortgage insurance business. Prior to our 2014 acquisition, Arch Mortgage Insurance Company was the leading provider of mortgage insurance products and services to credit unions in the U.S. We broadened our customer base into national and regional banks and mortgage originators while maintaining and increasing our share of the mortgage insurance credit union market. With the acquisition of UGC in 2016, a leading provider of mortgage insurance products and services to national and regional banks and mortgage originators, we became a leading provider of U.S. mortgage insurance.
Our mortgage group focuses on the following areas:
Direct mortgage insurance in the United States. Under their monoline insurance licenses, each of Arch’s eligible mortgage insurers may only offer private mortgage insurance covering first lien, one-to-four family residential mortgages. Nearly all of our mortgage insurance written provides first loss protection on loans originated by
Direct mortgage insurance in the United States. Under their monoline insurance licenses, each of Arch’s eligible mortgage insurers may only offer private mortgage insurance covering first lien, one-to-four family residential mortgages. Nearly all of our mortgage insurance written provides first loss protection on loans originated by mortgage lenders and sold to the GSEs. Each GSE’s Congressional charter generally prohibits it from purchasing a mortgage where the principal balance of the mortgage is in excess of 80% of the value of the property securing the mortgage unless the excess portion of the mortgage is protected against default by lender recourse, participation or by a qualified insurer. As a result, such “high loan-to-value mortgages” purchased by Fannie Mae or Freddie Mac generally are insured with private mortgage insurance.
Mortgage insurance protects the insured lender, investor or GSE against loss in the event of a borrower’s default. If a borrower defaults on mortgage payments, private mortgage insurance reduces, and may eliminate, losses to the insured. Private mortgage insurance may also facilitate the sale of mortgage loans in the secondary mortgage market because of the credit enhancement it provides. Our primary U.S. mortgage insurance policies predominantly cover individual loans and are effective at the time the loan is originated. We also may enter into insurance transactions with lenders and investors, under which we insure a portfolio of loans at or after origination. Although not currently a significant product, we may offer mortgage insurance on a “pool” basis in the future. Under pool insurance, the mortgage insurer provides coverage on a group of specified loans, typically for 100% of all contractual or policy-defined losses on every loan in the portfolio, subject to an agreed aggregate loss limit. Pool insurance may be in a first loss position with respect to loans that do not have primary mortgage insurance policies, or it may be in a second loss position, covering losses in excess of those covered by the primary mortgage insurance policy.
Direct mortgage
Mortgage insurance and reinsurance in Europe and other countries where we identify profitable underwriting opportunities. Since 2011, Arch Insurance (EU) has offered mortgage insurance to European mortgage lenders in order to reduce lenders’ credit risk and regulatory capital requirements associated with the insured mortgages. In certain European countries, lenders purchase mortgage insurance to facilitate regulatory compliance with respect to high loan-to-value residential lending. Arch Insurance (EU) offers mortgage insurance on both a “flow” basis to cover new originations and through structured transactions to cover one or more portfolios of previously originated
residential loans. Increasingly, Arch Insurance (EU) and Arch Re Bermuda are providing protection to European banks on structured capital relief transactions. In Australia, Arch Indemnity provides lenders’ mortgage insurance on a flow basis to cover new originations and offers coverage through structured transactions to cover one or more portfolios of previously originated residential loans.
. Since 2011, Arch Insurance (EU) has offered mortgage insurance to European mortgage lenders. Arch Insurance (EU)’s mortgage insurance is primarily purchased by European mortgage lenders in order to reduce lenders’ credit risk and regulatory capital requirements associated with the insured mortgages. In certain European countries, lenders purchase mortgage insurance to facilitate regulatory compliance with respect to high loan-to-value residential lending. Arch Insurance (EU) offers mortgage insurance on both a “flow” basis to cover new originations and through structured transactions to cover one or more portfolios of previously originated residential loans. Following regulatory approval of Arch LMI in January 2019, we are also focused on expanding origination opportunities for lenders in Australia.
Reinsurance. Arch Re Bermuda provides quota share reinsurance covering U.S. and international mortgages. Such amounts include a quota share reinsurance agreement


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with PMI pursuant to which it agreed to provide 100% quota share indemnity reinsurance covering U.S. and international mortgages.
Other credit risk-sharing products. In addition to PMI for all certificates of insurance that were issued by PMI from January 1, 2009 through December 31, 2011 that were not in default as of an agreed upon effective date. Other than this quota share, no PMI legacyproviding traditional mortgage insurance exposures were assumed.
Other credit risk-sharing products. In addition to providing traditional mortgage insurance and reinsurance, we offer various credit risk-sharing products to government agencies and mortgage lenders. The GSEs have reduced their exposure to mortgage risk and continue to shift moreand reinsurance, we offer various credit risk-sharing products to government agencies and mortgage lenders. The GSEs have reduced their exposure to mortgage risk by shifting a portion of it to the private sector, creating opportunities for insurers to assume additional mortgage risk. In 2013, Arch Re Bermuda became the first (re)insurance company to participate in Freddie Mac’s program to transfer certain credit risk in its single-family portfolio to the private sector. Since that time, Arch Re Bermuda and its affiliates have regularly participated in both Fannie Mae and Freddie Mac single family and multifamily risk sharing programs.
In 2015 we established Arch Mortgage Risk Transfer PCC Inc. (“Arch MRT”) a District of Columbia based protected cell captive insurer, licensed by District of Columbia Department of Insurance, Securities and Banking as a mortgage insurer. Arch MRT issues direct mortgage insurance to the GSEs through incorporated protected cells and cedes 100% of the risk to GSE approved reinsurers, including Arch Re U.S. Arch MRT entered into pilot transactions with both GSEs in 2018 and amended and extended both policies in 2019.
In 2019 we established Arch Credit Risk Services (Bermuda) (“ACRS”Arch CRS”) Ltd. ACRSArch CRS is licensed by the Bermuda Monetary Authority (“BMA”) as an insurance agent in Bermuda. ACRSArch CRS offers mortgage credit assessment and underwriting advisory services with respect to participation in GSE credit risk transfer transactions.

Underwriting Philosophy. Our mortgage group believes in a disciplined, analytical approach to underwriting mortgage risks by utilizing proprietary and third party models, including forecasting delinquency and future home price movements with the goal of ensuring that premiums are adequate for the risk being insured. Experienced actuaries and statistical modelers are engaged in analytics to inform the underwriting process. As part of the underwriting process, our mortgage group typically assesses a variety of factors, including the:
ability and willingness of the mortgage borrower to pay its obligations under the mortgage loan being insured;
characteristics of the mortgage loan being insured and the value of the collateral securing the mortgage loan;
financial strength, quality of operations and reputation of the lender originating the mortgage loan;
expected future home price movements which vary by geography;

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projections of future loss frequency and severity; and
adequacy of premium rates.
Sales and Distribution. WeIn the U.S., we employ a sales force located throughout the U.S. to directly sell mortgage insurance products and services to our customers, which include mortgage originators such as mortgage bankers, mortgage brokers, commercial banks, savings institutions, credit unions and community banks. Our largest single mortgage insurance customer in the U.S. (including branches and affiliates) accounted for 4.0%7.1% and 4.7%6.3% of our gross premiums written for the years ending December 31, 20192022 and 2018,2021, respectively. No other customer accounted for greater than 3.3% and 2.7%2.8% of the gross premiums written for the years ending December 31, 20192022 and 2018,2021, respectively. The percentage of gross premiums written on our top 10 customers was 20.8%23.6% and 20.9%22.7% as of December 31, 20192022 and 2018,2021, respectively. In Europe, Asia, Bermuda and Australia, our products and services are/or will be distributed on a direct basis and through brokers. Each country represents a unique set of opportunities and challenges that require knowledge of market conditions and client needs to develop effective solutions.
Risk Management. Exposure to mortgage risk is monitored globally and managed through underwriting guidelines, pricing, reinsurance, utilization of proprietary risk models, concentration limits and limits on net probable loss resulting from a severe economic downturn in the housing market. Exposure to climate risk has also been incorporated into the risk management framework of our mortgage group to monitor and manage our exposure to potential (i) losses related to the direct physical impact of extreme weather conditions or events in certain transactions; and/or (ii) adverse economic or housing market conditions caused by the physical impact of extreme weather conditions or events on a region or the financial impact of transitioning to a zero or low carbon economy on a region. Generally, mortgage insurance policies exclude direct physical losses resulting from physical damages, such as damaged caused by extreme weather events, though we do have some exposure to physical damage in certain GSE credit risk transfer (“CRT”) transactions. Additionally, we actively monitor developments in the housing market, financial regulation and public policy in the geographies where our mortgage group operates to facilitate implementation of laws, regulations and policies which support sustainable environmental behavior and mitigate the effects of climate change. For a discussion of our risk management policies, see “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Estimates—Ceded Reinsurance” and “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Our mortgage group has ceded a portion of its premium on a quota share basis through certain reinsurance agreements and through aggregate excess of loss reinsurance agreements which provide reinsurance coverage for delinquencies on portfolios of in-force policies issued between certain periods. See note 7,8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.
Reinsurance arrangements do not relieve our mortgage group from its primary obligations to insured parties. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our mortgage subsidiaries would be liable for such defaulted amounts. For our U.S. mortgage insurance business, in addition to utilizing


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reinsurance, we have developed a proprietary risk model that simulates the maximum loss resulting from severe economic events impacting the housing market. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Catastrophic Events and Severe Economic Events.”
Claims Management. With respect to our direct mortgage insurance business, the claims process generally begins with notification by the insured or servicer to us of a default on an insured loan. The insured is generally required to notify us of a default after the borrower misses two consecutive monthly payments. Borrowers default for a variety of reasons, including a reduction of income, unemployment, divorce, illness, inability to manage credit, rising interest rate levels and declining home prices. Upon notice of a default, in certain cases we may coordinate with loan servicers to facilitate and enhance retention workouts on insured loans. Retention workouts include payment forbearance, loan modifications and other loan repayment options, which may enable borrowers to cure mortgage defaults and retain ownership of their homes. If a retention workout is not viable for a borrower, our loss on a loan may be mitigated through a liquidation workout option, including a pre-foreclosure sale or a deed-in-lieu of foreclosure.
In the U.S., our master policies generally provide that within 60 days of the perfection of a primary insurance claim, we have the option of:
paying the insurance coverage percentage specified in the certificate of insurance multiplied by the loss amount;
in the event the property is sold pursuant to an approved prearranged sale, paying the lesser of (i) 100% of the loss amount less the proceeds of sale of the property, or (ii) the specified coverage percentage multiplied by the loss amount; or

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paying 100% of the loss amount in exchange for the insured’s conveyance to us of good and marketable title to the property, with us then selling the property for our own account.
While we select the claim settlement option that best mitigates the amount of our claim payment, in the U.S. we generally pay the coverage percentage multiplied by the loss amount.
Other Operations
In 2014, we and HPS Investment Partners, LLC (formerly Highbridge Principal Strategies, LLC) (“HPS”), sponsored the formation of Watford.Somers. Arch Re Bermuda invested $100.0 million in WatfordSomers common shares and acquired approximately 11% of Watford as well as warrants to purchase up to 975,503 additional common shares. We also purchased $35.0 million in aggregate principal amount of Watford Holdings Ltd’s 6.5% senior notes in 2019. Watford’sequity. Somers’ strategy is to combine a diversified reinsurance and insurance business with a disciplined investment strategy comprised primarily of non-investment grade credit assets. Watford’sstrategy. Somers’ own management and board of directors are responsible for its results and profitability. Arch Re Bermuda has appointed twothree directors to serve on the eightseven person board of directors of Watford.Somers. In the 2020 fourth quarter, Arch Capital, Somers and Greysbridge, a wholly-owned subsidiary of Arch Capital, entered into a Merger Agreement pursuant to which, among other things, Arch Capital agreed to acquire all of the common shares of Somers not owned by Arch for a cash purchase price of $35.00 per common share. Arch Capital has assigned its rights under the Merger Agreement to Greysbridge. The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by Warburg. See note 11,12, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for further details.
In 2017 we and Kelso & Company (“Kelso”) sponsored the formation of Premia. Premia’s strategy is to reinsure or acquire companies or reserve portfolios in the non-life property and casualty insurance and reinsurance run-off market. Arch Re Bermuda and certain Arch co-investors invested $100.0 million and acquired approximately 25% of Premia as well as warrants to purchase additional common equity. Arch Re Bermuda is providing a 25% quota share reinsurance treaty on certain business written by Premia, and subsidiaries of Arch Capital are providing certain administrative and support services to Premia, in each case pursuant to separate multi-year agreements. Arch Re Bermuda has appointed two directors to serve on the seven person board of directors of Premia. In the 2019 fourth quarter, Barbican entered into certain reinsurance and related transactions with Premia pursuant to which Premia assumed a transfer of liability for the 2018 and prior years of account of Barbican as of July 1, 2019. See note 15,16, “Transactions with Related Parties,” to our consolidated financial statements in Item 8 for further details.
Employees
In 2021, the Company completed the share purchase agreement with Natixis to purchase 29.5% of the common equity of Coface. This is a long-term, strategic investment in Coface, and fits with Arch’s efforts to develop uncorrelated sources of underwriting income. Our companies share a focus on specialty underwriting where knowledge and expertise create value for our clients, and trade credit contributes to Arch’s specialty-driven business model. Arch has appointed four directors to serve on the ten person board of directors of Coface.
Climate Change Considerations
We are taking steps to address the effects of climate change and facilitate the transition toward decarbonization in all our underwriting segments. We seek to identify business opportunities associated with environmentally friendly trends and incentivize responsible environmental behaviors. We have adopted a thermal coal policy and provide environmentally sustainable insurance solutions in certain product lines.
HUMAN CAPITAL
We are driven by our common purpose of “Enabling Possibility” for our customers, our communities and our employees. This purpose is supported by our collaborative, results-driven culture which relies on our dedicated, engaged and talented people. By offering a meaningful and inclusive employee experience, we not only help people perform at their best among colleagues who care, but also support our strategy of delivering specialty products and innovative solutions to our customers in each of our business segments. As of February 21, 2020,1, 2023, we had just over 5,800 employees globally, compared to around 5,200 last year, which directly speaks to our ability to grow and retain our talent despite the challenges we all faced with the global pandemic. We have approximately 3,300 employees in North America (U.S., Canada and Bermuda), 1,500 employees in Europe and the U.K. and 1,000 employees in the Philippines, Australia and the rest of the world.
Our People and Culture. In 2022, Arch Capitalemployees began to return to offices globally as the pandemic eased. We recognize the incredible resiliency of the team to work remotely for over two years while balancing that with the opportunity to maximize in-person collaboration across departments. Arch is providing flexibility in our return to office model utilizing specific “office days” for teams as part of a hybrid working model.
Through the global pandemic, the spirit of agility that is part of our entrepreneurial roots allowed us to transition virtually overnight to a home-based employee population. Since the start of the pandemic we recognized and supported the

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wellness needs of our employees. We provided additional resources including webinars with a psychologist who specializes in building resilience and continued our Arch Cares program to provide financial support to employees affected by COVID-19.
An important part of our culture is building an inclusive, diverse workforce. By better reflecting the demographics in the markets in which we operate while also actively instilling norms for inclusive behavior, we leverage all the best contributions and thinking across our Company. To that end, we are committed to further integrating diversity and inclusion principles in our operations. In addition to “embedding” inclusion into our talent processes, e.g., promotion reviews, over 500 employees (mostly managers) have attended our intensive, six-week Fostering Inclusive Leadership program. Importantly, this program requires participants to complete a business-related project as well as attend group discussions, where participants focus on how to apply inclusive techniques into the work experience. Finally, in 2022 our six employee networks provided a forum for over 1,000 employees to share ideas, build community and belonging, provide leadership opportunities for members, and contribute meaningfully to business outcomes. Importantly, our networks include significant ally representation, which underscores the inclusive behavior of our people.
Talent Acquisition, Development, Rewards and Retention.Our employees are our greatest asset, and we maintain a sharp focus on improving the ways we attract, develop and retain our high-performing talent. Our goal is to cultivate a workplace culture where all our employees can thrive by building awareness of inclusive practices and incorporating them into our regular course of business. We continue to enhance our talent acquisition process through a new model which will modernize our approach to talent acquisition for candidates and hiring managers, while providing an enhanced ability to proactively source and build pipelines for the best diverse talent. The model will help streamline this process across our Company by using a common platform and approach, which we can easily scale as we grow.
We provide unique career growth opportunities through a combination of on-the-job training, exposure to top-notch colleagues who coach and mentor, and education and training programs designed to accelerate learning and applying new skills and behaviors. We offer competitive compensation and comprehensive benefits packages, including an employee share purchase plan, parental leave, generous contributions to retirement savings plans and programs to support employee mental and physical well-being. We recognize the financial burden of educational loans in the United States and have supported our employees with a student debt assistance program. Since the inception of the program in 2018, Arch has contributed $4.1 million to this program, including $0.9 million in 2022. We also match eligible contributions to
qualified charitable organizations and employees are eligible to receive time-off to volunteer with an eligible non-profit organization. Our Arch Achieve program has recognized over 400 employees for excellence since its subsidiaries employed approximately 4,300 full-time employees.inception in 2009, and each recipient is awarded shares of our common stock (or a cash bonus in certain cases), to recognize their accomplishments.
In 2022, our senior leadership team was able to meet in person to dive deep into our business strategy and recruitment and employee retention strategy and enhance opportunities for employee development and networking opportunities globally.
In the U.S., we lowered the cost of benefits for many employees based on a tiered salary approach for the fall 2022 enrollment period. This is meant to address some of the impacts of inflation in 2023 for many employees who are hit the hardest by rising prices.
We also encourage employees to continue their educational and professional development through tuition reimbursement plans. To attract the best talent to our industry, we offer internship programs and an Early Career Program with an Underwriting Track which provides participants with a robust introduction and real technical skills to build a successful career at Arch. As part of our talent attraction, we have targeted programs aimed at diversifying our workforce. Experienced professionals at Arch may participate in manager and leadership development programs and, for our mortgage insurance segment employees, we offer the opportunity to seek a Mortgage Bankers Association Certified Banker designation.
RESERVES

Reserves for losses and loss adjustment expenses (“Loss Reserves”) represent estimates of what the insurer or reinsurer ultimately expects to pay on claims at a given time, based on facts and circumstances then known, and it is probable that the ultimate liability may exceed or be less than such estimates. Even actuarially sound methods can lead to subsequent adjustments to reserves that are both significant and irregular due to the nature of the risks written. Loss Reserves are inherently subject to uncertainty.


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For detail on our Loss Reserves by segment and potential variability in the reserving process, see the Loss Reserves section of Summary of Critical Accounting Policies, Estimates and Recent Accounting Pronouncements”Estimates” in Item 7. For an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending Loss Reserves and information about prior year reserve development, see note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8. For information on our reserving

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process, see note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8.
Unpaid and paid losses and loss adjustment expenses recoverable were approximately $4.35$6.6 billion at December 31, 2019.2022. For detail on our unpaid and paid losses and loss adjustment expenses, see the Reinsurance Recoverables section of “Financial Condition, Reinsurance Recoverables” in Item 7.
INVESTMENTS

At December 31, 2019,2022, total investable assets held by Arch were $22.3 billion, excluding the $2.70 billion included in the ‘other’ segment (i.e., attributable to Watford).$28.1 billion. Our current investment guidelines and approach stress preservation of capital, market liquidity and diversification of risk. Our investments are subject to market-wide risks and fluctuations, as well as to risks inherent in particular securities. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may in the future expand into areas which are not part of our current investment strategy. For detail on our investments, see the Investable Assets Held by Arch section of “Financial Condition” in Item 7 and note 8,9, “Investment Information,” to our consolidated financial statements in Item 8.
RATINGS

Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider.
The financial strength ratings of our operating insurance and reinsurance subsidiaries are subject to periodic review as rating agencies evaluate us to confirm that we continue to meet their criteria for ratings they have assigned to us by them.us. Such ratings may be revised downward or revoked at the sole discretion of such ratings agencies in response to a variety of factors, including capital adequacy, management, earnings, forms of capitalization and risk profile. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. A.M. Best Company (“A.M. Best”), Fitch Ratings (“Fitch”), Moody’s Investors Service (“Moody’s”) and Standard & Poor’s (“S&P”) are ratings
agencies which have assigned financial strength and/or issuer ratings to Arch Capital and/or one or more of its subsidiaries.
The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our Internet site (website www.ir.archcapgroup.comwww.archgroup.com, under Credit (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.
COMPETITION

The worldwide reinsurance and insurance businessesmarkets are highly competitive. We compete, and will continue to compete, with major U.S. and non-U.S. insurers and reinsurers, some of which have greater financial, marketing and management resources than we have and longer-term relationships with insureds and brokers than we have had.us. We compete with other insurers and reinsurers primarily on the basis of overall financial strength, ratings assigned by independent rating agencies, geographic scope of business, strength of client relationships, premiums charged, contract terms and conditions, products and services offered, speed of claims payment, reputation, employee experience, and qualifications and local presence. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—“We operate in a highly competitive environment, and we may not be able to compete successfully in our industry.”


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In our property casualty insurance business,and reinsurance businesses, we compete with insurers and reinsurers that provide specialty property and casualty lines of insurance, including, Alleghany Corporation,but not limited to Allianz, American Financial Group, Inc., American International Group, Inc., Aviva, AXA XL, AXIS Capital Holdings Limited, Berkshire Hathaway, Inc., Chubb Limited, CNA Financial Corp., Convex Group Limited, Everest National Insurance Company,Re Group Ltd., Fairfax Financial Holdings Limited, Hannover Rück SE, The Hartford Financial Services Group, Inc., Liberty Mutual Insurance,Group, Lloyd’s, Markel Insurance Company,Corporation, Munich Re Group, PartnerRe Ltd., RenaissanceRe Holdings Ltd., RLI Corp., SCOR, Sompo International, Swiss Reinsurance Company, Tokio Marine, HCC, The Travelers Companies, Inc., W.R. Berkley Corp. and Zurich Insurance Group.
In our reinsurance business, we compete with reinsurers that provide property and casualty lines of reinsurance, including Alleghany Corporation, American International Group, Argo International Holdings, Ltd., AXA XL, AXIS Capital Holdings Limited, Berkshire Hathaway, Inc., Chubb Limited, Everest Re Group Ltd., Hannover Rück SE, Lloyd’s, Markel Global Reinsurance, Munich Re Group, PartnerRe Ltd., RenaissanceRe Holdings Ltd., SCOR Global P&C, SCOR Global Life, Sompo International and Swiss Reinsurance Company.
In our U.S. mortgage business, we compete with five active U.S.insurers and reinsurers that provide mortgage insurers, which includeinsurance, including the U.S mortgage insurance subsidiaries of Essent Group Ltd., Genworth FinancialEnact Holdings Inc., MGIC Investment Corporation, NMI Holdings Inc. and Radian Group Inc. The private mortgage insurance industry is highly competitive. Private mortgage insurers generally compete on the basis of underwriting guidelines, pricing, terms and conditions, financial strength, product and service offerings, customer relationships, reputation, the strength of management, technology, and innovation in the delivery and servicing of insurance products. Arch MI U.S. and other private mortgage insurers compete with federal and

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state government agencies that sponsor their own mortgage insurance programs. The private mortgage insurers’ principal government competitor is the Federal Housing Administration (“FHA”) and, to a lesser degree, the U.S. Department of Veterans Affairs (“VA”). Future changes to the FHA program, including any reduction to premiums charged may impact the demand for private mortgage insurance.
In addition, Arch MI U.S. and other private mortgage insurers increasingly compete with multi-line reinsurers and capital markets alternatives to private mortgage insurance. The GSEs continued their respective mortgage credit risk transfer (“CRT”)CRT programs including the use of front and back-end transactions with multiline reinsurers.multi-line reinsurers, with approximately 25 unique insurers that regularly participate in transactions in addition to funded credit investors. These transactions continue to create opportunities for multilinemulti-line property casualty reinsurance groups and capital markets participants. The ongoing expansion of the GSEs risk transfer programs continue to attract additional reinsurers into the market with approximately 40 reinsurers now competing for business.
For other U.S. risk sharing products andIn our non-U.S. mortgage insurance opportunities,businesses, we have also seen increased
competition from well capitalizedcompete with insurance subsidiaries of Helia Group Ltd. (formerly a Genworth Financial Inc. subsidiary) and QBE Insurance Group, Ltd. in Australia; in Europe, our competitors on structured capital relief transactions include approximately 5-10 highly rated multiline reinsurers. It is our expectation that the depth and capacity of competitors from this segment will continuemulti-line (re)insurers in addition to increase over the next several years as more residential mortgage30 funded credit risk is borne by private capital.investors.
ENTERPRISE RISK MANAGEMENT

General. Enterprise Risk Management (“ERM”) is a key element in our philosophy, strategy and culture. We employ an ERM framework that includes underwriting, reserving, investment, credit and operational risks. Risk appetite and exposure limits are set by our executive management team, reviewed with the Board and its committees and routinely discussed with business unit management. These limits are articulated in our risk appetite statement, which details risk appetite, tolerances and limits for each major risk category, and are integrated into our operating guidelines. Exposures are aggregated and monitored periodically by our corporate risk management team. The reporting, review and approval of risk management information is integrated into our annual planning process, capital modeling and allocation, reinsurance purchasing strategy and reviewed at insurance business reviews, reinsurance underwriting meetings and board level committees.
Risk Management Process and Procedures. The following narrative provides an overview of our risk management framework and our methodology for identifying, measuring, managing and reporting on the key risks affecting us. It outlines our approach to risk identification and assessment and provides an overview of our risk appetite and tolerance for each of the following major risks: underwriting
(insurance) risk including pricing, reserving and catastrophe; investment including market and liquidity risks; strategic risk; group risk including strategic, governance, rating agency and capital market risk; credit risk; and operational risk, including regulatory, investor relations (reputational risk), rating agency and outsourcing risks. We view environmental, social and governance (“ESG”) – related risks not as standalone risks but as an integral part of our enterprise-wide risk management strategy. Consequently, evaluations of these risks are embedded throughout our risk management framework.
The framework includes details of our risk philosophy and policies to address the material risks confronting us;us and compliance,the approach and procedures to control and or mitigate these risks. The actions and policies implemented to meet our business management and regulatory obligations form the core of this framework. We have adopted a holistic approach to risk management by analyzing risk from both a top-down and bottom-up perspective.
Risk Identification and Assessment. The Finance, Investment and Risk Committee (“FIR Committee”), Audit Committee and Underwriting Oversight Committee of the Board oversee the top-down and bottom-up review of our risks. Given the nature and scale of our operations, these committees consider all aforementioned risks within the scope of the assessment. Arch Capital’s Chief Risk Officer (“CRO”) assists these committees


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in the identification and assessment of all key risks. The CRO is responsible for maintaining Arch Capital’s risk register and continually reviewing and challenging risk assessments, including the impact of emerging risks and significant business developments. Board approval is required for anyAny new high levelhigh-level risks or change in inherent or residual designations.designations are brought to the Board’s or the relevant committee’s attention.
Risk Monitoring and Control. Arch Capital’s risk management framework requires risk owners to monitor key risks on a continuous basis. The highest residual risks are actively managed by the FIR Committee.Board and relevant committees. The remaining risks are managed and monitored at a process level by the risk owners and/or the CRO. Risk owners have ultimate responsibility for the day-to-day management of each designated risk, reporting to the CRO on the satisfactory management and control of the risk and timely escalation of significant issues that may arise in relation to that risk. The CRO is responsible for overseeing the monitoring of all risks across the business and for communicating to the relevant risk owners if she becomes aware of issues, or potential and actual breaches of risk appetite, relevant to the assigned risks. A key element of these monitoring activities is the periodic evaluation of our position relative to risk tolerances and limits approved by the Board.

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Risk Reporting. Quarterly, the CRO compiles the results of the key risk review process into a report to the FIR CommitteeBoard and relevant committees for review and discussion at their quarterlynext meeting. The report includes an overview of selected key risks; a risk dashboard that depicts the status of risk limit and tolerance metrics; changes in the rating of high levelhigh-level risks in the Arch Capital risk register; and summaries of our largest exposures and reinsurance recoverables. If necessary, risk management matters reviewed at the FIR Committee meetingcommittee meetings are presented for discussion by the Board. The CRO is responsible for immediately escalating any significant risk matters to executive management, the FIRrespective Board Committee and/or the Board for approval of the required remediation. As part of our corporate governance, the Board and certain of its committees hold regular executive sessions with members of our management team. These sessions are intended to ensure an open and frank dialogue exists about various forms of risk across the organization.
Implementation and Integration. We believe that an integrated approach to developing, measuring and reporting our Own Risk and Solvency Assessment (“ORSA”) is an integralimportant part of the risk management framework. The ORSA process provides the link between Arch Capital’s risk profile, its board-approved risk appetite including approved risk tolerances and limits, its business strategy and its overall solvency requirements. The ORSA is the entirety of the processes and procedures employed to identify, assess, monitor, manage, and report the short-short and long-term risks we face or may face and to determine the capital necessary to ensure that our overall solvency needs are met at all times. The ORSA also makes the link between actual reported results and the capital assessment.
The ORSA is the basis for risk reporting to the Board and its committees and acts as a mechanism to embed the risk management framework within our decision making processes and operations. The Board has delegated responsibility for supervision and oversight of the ORSA to the FIR Committee. This oversight includes regular reviews of the ORSA process and output. An ORSA report is produced at least annually and the results of each assessment are reported to the Board. The Board actively participates in the ORSA process by steering how the assessment is performed and challenging its results. This assessment is also taken into account when formulating strategic decisions.
The ORSA process and reporting are integralalso important parts of our business strategy, tailored specifically to fit into our organizational structure and risk management system with the appropriate techniques in place to assess our overall solvency needs, taking into consideration the nature, scale and complexity of the risks inherent in the business.
We also take the results of the ORSA into account forwithin our system of governance, including long-term capital
management, business planning and new product development. The results of the ORSA also contributescontribute to various elements of our strategic decision-making including how best to optimize capital management, establishing the most appropriate premium levels and deciding whether to retain or transfer risks.
For further discussion of our risk management policies, see the Ceded Reinsurance section of Summary of Critical Accounting Policies, Estimates and Recent Accounting Pronouncements”Estimates” in Item 7.
REGULATION

General
Our insurance and reinsurance subsidiaries are subject to varying degrees of regulation and supervision in the various jurisdictions in which they operate. We are subject to extensive regulation under applicable statutes in these countries and any other jurisdictions in which we operate. The current material regulations under which we operate are described below. We may become subject in the future to regulation in new jurisdictions or to additional regulations in existing jurisdictions.
Bermuda
General. Our main Bermuda insurance operating subsidiary, Arch Re Bermuda, is a Class 4 general business insurer and a Class C long-term insurer and is subject to the Insurance Act 1978 of Bermuda and related regulations, as amended (“Insurance Act”). TheAmong other matters, the Insurance Act imposes certain solvency and liquidity standards, and auditing and reporting requirements, the submission of certain period examinations of its financial conditions and grants the BMA powers to supervise, investigate, require information and demand the production of documents and intervene in the


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affairs of insurance companies. Significant requirements include the appointment of an independent auditor, the appointment of a loss reserve specialist, the appointment of a principal representative in Bermuda, the filing of annual Statutory Financial Returns, the filing of annual financial statements in accordance with U.S. generally accepted accounting principles (“GAAP”), the filing of an annual capital and solvency return, compliance with minimum and enhanced capital requirements, compliance with certain restrictions on reductions of capital and the payment of dividends and distributions, compliance with group solvency and supervision rules, if applicable, and compliance with the Insurance Code of Conduct (relating to corporate governance, risk management and internal controls).
Arch Re Bermuda must also comply with a minimum liquidity ratio and minimum solvency margin in respect of its general business. The minimum liquidity ratio requires that the value of relevant assets must not be less than 75% of the

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amount of relevant liabilities. The minimum solvency margin, which varies depending on the class of the insurer, is determined as a percentage of either net reserves for losses and loss adjustment expenses (“LAE”) or premiums or pursuant to a risk-based capital measure. Arch Re Bermuda is also subject to an enhanced capital requirement (“ECR”) which is established by reference to either the Bermuda Solvency Capital Requirement model (“BSCR”) or an approved internal capital model. The BSCR model is a risk-based capital model which provides a method for determining an insurer’s capital requirements (statutory capital and surplus) by taking into account the risk characteristics of different aspects of the insurer’s business. The BMA has established a target capital level for each Class 4 insurer equal to 120% of its enhanced capital requirement.ECR. While a Class 4 insurer is not currently required to maintain its available statutory economic capital and surplus at this level, the target capital level serves as an early warning tool for the BMA, and failure to maintain statutory capital at least equal to the target capital level will likely result in increased regulatory oversight. As a Class C insurer, Arch Re Bermuda is also required to maintain available statutory economic capital and surplus in respect of its long-term business at a level equal to or in excess of its long-term enhanced capital requirement whichthat is established by reference to either the Class C BSCR model or an approved internal capital model.
Arch Re Bermuda is prohibited from declaring or paying any dividends during any financial year if it is in breach of its general business or long-term business enhanced capital requirements, minimum solvency margins or its general business minimum liquidity ratio or if the declaration or payment of such dividends would cause such a breach. If it has failed to meet its minimum solvency margins or minimum liquidity ratio on the last day of any financial year, Arch Re Bermuda will be prohibited, without the approval of the BMA, from declaring or paying any dividends during the next financial year. In addition, Arch Re Bermuda is prohibited from declaring or paying in any financial
year dividends of more than 25% of its total statutory capital and surplus (as shown on its previous financial year’s statutory balance sheet) unless it files (at least seven days before payment of such dividends) with the BMA an affidavit stating that it will continue to meet the required margins. Without the approval of the BMA, Arch Re Bermuda is prohibited from reducing by 15% or more its total statutory capital as set out in its previous year’s financial statements and any application for such approval must include an affidavit stating that it will continue to meet the required margins. Where such an affidavit is filed, it shall be available for public inspection at the offices of the BMA. Under the Bermuda Companies Act of 1981, as amended (the “Companies Act”), Arch Re Bermuda may declare or pay a dividend out of distributable reserves only if it has reasonable grounds for believing that it is, or would after the payment
be, able to pay its liabilities as they become due and if the realizable value of its assets would thereby not be less than its liabilities.
Policyholder Priority. The Insurance Amendment (No. 2) Act 2018 amended the Insurance Act to provide for the prior payment of policyholders’ liabilities ahead of general unsecured creditors in the event of the liquidation or winding up of an insurer. The amendments provide inter alia that, subject to certain statutorily preferred debts, the insurance debts of an insurer must be paid in priority to all other unsecured debts of the insurer. Insurance debt is defined as a debt to which an insurer is or may become liable pursuant to an insurance contract excluding debts owed to an insurer under an insurance contract where the insurer is the person insured.

Group Supervision. The BMA acts as group supervisor of our group of insurance and reinsurance companies (“Group”) and has designated Arch Re Bermuda as the designated insurer (“Designated Insurer”). As our Group supervisor, the BMA performs a number of functions including: (i) coordinating the gathering and dissemination of relevant or essential information for going concerns and emergency situations, including the dissemination of information which is of importance for the supervisory task of other regulatorycompetent authorities; (ii) carrying out supervisory reviews and assessments of our Group; (iii) carrying out assessments of our Group's compliance with the rules on solvency, risk concentration, intra-group transactions and good governance procedures; (iv) planning and coordinating through regular meetings held at least annually (or by other appropriate means) with other competent authorities, supervisory activities in respect of our Group; both as a going concern and in emergency situations (v) coordinating any enforcement action that may need to be taken against our Group or any Group members; and (vi) planning and coordinating meetings of colleges of supervisors in order to facilitate the carrying out of these functions. As Designated Insurer, Arch Re Bermuda is required to facilitate compliance by our Group with the group insurance solvency and supervision rules.
On an annual basis, the Group is required to file Group statutory financial statements, a Group statutory financial return, a Group capital and solvency return, audited Group financial statements, a Group Solvency Self-Assessment (“GSSA”), and a financial condition report with the BMA. The GSSA is designed to document our perspective on the capital resources necessary to achieve our business strategies and remain solvent, and to provide the BMA with insights on our risk management, governance procedures and documentation related to this process. In addition, the Designated Insurer is required to file quarterly group financial returns with the BMA. The Group is also required to maintain available Group statutory economic capital and

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surplus in an amount that is at least equal to the


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group enhanced capital requirement (“Group ECR”) and the BMA has established a group target capital level equal to 120% of the Group ECR.
Fit and Proper Controllers. The BMA maintains supervision over the controllers of all Bermuda registered insurers, brokers, agents and accordingly,insurance marketplace providers. For so long as the shares of Arch Capital are listed on the NASDAQ or another recognized stock exchange, any person who, directly or indirectly, becomes a holder of at least 10%, 20%, 33% or 50% of our ordinarycommon shares must notify the BMA in writing within 45 days of becoming such a holder (or ceasing to be such a holder). The BMA may object to such a person and require the holder to reduce its holding of ordinarycommon shares and direct, among other things, that voting rights attaching to the ordinarycommon shares shall not be exercisable.
Economic Substance Act. During 2017, the EU’s Economic and Financial Affairs Council released a list of non-cooperative jurisdictions for tax purposes. The stated purpose of this list, and accompanying report, was to promote good governance worldwide in order to maximize efforts to prevent tax fraud and tax evasion. Bermuda was not on the list of non-cooperative jurisdictions, but was referenced in the report (along with approximately 40 other jurisdictions) as having committed to address concerns relating to economic substance byIn December 31, 2018. In accordance with that commitment,2018, Bermuda enacted the Economic Substance Act 2018 (as amended) of Bermuda and its related regulations (together, the “ES Act”). The ES Act came into force on January 1, 2019, and provides that a registered entity other than an entity which is resident for tax purposes in certain jurisdictions outside Bermuda (“non-resident entity”) that carries on as a business any one or more of the “relevant activities” referred to in the ES Act must comply with economic substance requirements. The list of “relevant activities” includes carrying on any one or more of the following activities: banking, insurance, fund management, financing, leasing, headquarters, shipping, distribution and service center, intellectual property and holding entities. Under the ES Act, if a company is engaged in one or more “relevant activities”, it is required to maintain a substantial economic presence in Bermuda and to comply with the economic substance requirements set forth in the ES Act. A company will comply with those economic substance requirements if it: (a) is managed and directed in Bermuda; (b) undertakes “core income generating activities” (as may be prescribed under the ES Act) in Bermuda in respect of the relevant activity; (c) maintains adequate physical presence in Bermuda; (d) has adequate full time employees in Bermuda with suitable qualifications; and (e) incurs adequate operating expenditure in Bermuda in relation to the relevant activity undertaken by it.
Companies that are licensed under the Insurance Act and thereby carry on insurance as a relevant activity are generally considered to operate in Bermuda with adequate substance with respect to their insurance business, if they comply with the existing provisions of (a) the Companies Act 1981 relating to corporate governance; and (b) the Insurance Act, 1978, that are applicable to the economic substance requirements, and the Registrar will have regard to such
companies’ compliance with the Insurance Act 1978 (in addition to compliance with the Companies Act 1981) in his assessment of compliance with the economic substance requirements. That being said, such companies are still required to complete and file a Declaration Form, with the Bermuda Registrar of Companies
and the Registrar will also have regard to the information provided in that Declaration Form in making his assessment of compliance with the ES Act.
Insurance Sector Operational Cyber Risk Management Code of Conduct (“Cyber Risk Management Code of Conduct”). The BMA recognized that cyber incidents can cause significant financial losses and/or reputational impacts across the insurance industry and implemented the Cyber Risk Management Code of Conduct in October 2020. All Bermuda National Pension Scheme. The National Pension Scheme (Occupational Pensions) Amendmentinsurers, insurance managers and intermediaries registered under the Insurance Act 2019 (the “NPS Amendment Act”),are required to company with the provisionsBMA’s Cyber Risk Management Code of Conduct, which come into force on different dates, amends the existing legislationestablished duties, requirements and regulations requiring employersstandards to establish, register fundbe complied by each registrant in relation to operational cyber risk management. This requires Arch Re Bermuda to develop a cyber risk policy, which is to be delivered pursuant to an operational cyber risk management program and maintain occupational pension plans. The NPS Amendment Act contains extensive amendmentsappoint an appropriately qualified member of staff or outsourced resource to the National Pension Scheme (Occupational Pensions) Act 1998 (the “NPS Act”) as amendedrole of Chief Information Security Officer. The role of the Chief Information Security Officer is to deliver the operational cyber risk management program.
It is expected that enhance existing provisions and introduce new provisions including provisions relating to non-Bermudian employees, civil penalties, Guidance Notes and hardship benefits for persons who are retired.
the cyber risk policy will be approved by the Arch Re Bermuda board of directors at least annually. The NPS Amendment Act extends the requirement to provide an occupational pension plan to all employees meeting the eligibility criteria,BMA will assess Arch Re Bermuda’s compliance with the exceptionCyber Risk Management Code of Conduct in a person granted permission underproportionate manner relative to the nature, scale and complexity of its business. Failure to comply with the requirements of the Cyber Risk Management Code of Conduct will be taken into account by the BMA in determining whether Arch Re Bermuda Immigrationis conducting its business in a sound and Protectionprudent manner as prescribed by the Insurance Act 1956and may result in the BMA exercising its powers of intervention and investigation.
Notification of Cyber Reporting Events. Every Bermuda insurer is required to engagenotify the BMA forthwith on it coming to the knowledge of the insurer, or where the insurer has reason to believe that a Cyber Reporting Event has occurred. Within fourteen (14) days of such notification, the insurer must also furnish the BMA with a written report setting out all of the particulars of the Cyber Reporting Event that are available to it. A Cyber Reporting Event includes any act that results in gainful occupation in Bermudathe unauthorized access to, disruption, or misuse of electronic systems or information stored on such systems of an insurer, including breach of security leading to the loss or unlawful destruction or unauthorized disclosure of or access to such systems or information where there is a likelihood of an adverse impact to policyholders, clients or the insurer’s insurance business, or an event that has occurred for less than an aggregate period not exceeding twelve months, with effect from March 2, 2020. Historically and until such date, employers must only provide an occupational pension planwhich notice is required to Bermudians and the husbandbe provided to a regulatory body or wifegovernment agency.


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United States
General. Our U.S. based insurance operating subsidiaries are subject to extensive governmental regulation and supervision by the states and jurisdictions in which they are domiciled, licensed and/or approved to conduct business. The insurance laws and regulations of the state of domicile have the most significant impact on operations. We currently have U.S. insurance and/or reinsurance subsidiaries domiciled in Delaware, North Carolina, Missouri, Wisconsin, Kansas and the District of Columbia.Columbia and we may acquire insurers domiciled in other states in the future. State insurance regulation and supervision is designed to protect policyholders rather than investors. Generally, state regulatory authorities have broad regulatory powers over such matters as licenses, standards of solvency, premium rates, policy forms, marketing practices, claims practices, investments, methods of accounting, form and content of financial statements, certain aspects of governance, ERM, amounts we are required to hold as reserves for future payments, minimum capital and surplus requirements, annual and other report filings and transactions among affiliates. Our U.S. based subsidiaries are required to file detailed quarterly and audited annual statutory financial statements with state insurance regulators. In addition, regulatory authorities conduct periodic financial, claims and market conduct examinations. Certain insurance


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regulatory requirements are highlighted below. In addition to regulation applicable generally to U.S. insurance and reinsurance companies, our U.S. mortgage insurance operations are affected by federal and state regulation relating to mortgage insurers, mortgage lenders, and the origination, purchase and sale of residential mortgages. Arch Insurance (U.K.) is also subject to certain governmental regulation and supervision in the states where it writes excess and surplus lines insurance.
Holding Company Regulation. All states have enacted legislation that regulates insurance holding company systems. These regulations generally provide that each insurance company in the system is required to register with the insurance department of its state of domicile and furnish information concerning the operations of companies within the holding company system which may materially affect the operations, management or financial condition of the insurers within the system. Notice to the state insurance departments is required prior to the consummation of certain material transactions between an insurer and any entity in its holding company system and certain transactions may not be consummated without the applicable insurance department’s prior approval or non-disapproval after receiving notice. The holding company acts also prohibit any person from directly or indirectly acquiring control of a U.S. insurance or reinsurance company unless that person has filed an application with specified information with such company’s domiciliary commissioner and has obtained the commissioner’s prior approval. Under most states’ statutes
acquiring 10% or more of the voting securities of an insurance company or its parent company is presumptively considered an acquisition of control of the insurance company, although such presumption may be rebutted.
The National Association of Insurance Commissioners (“NAIC”) has adopted amendments to the Insurance Holding Company System Regulatory Act and Regulation, which, among other changes, introduce the concept of “enterprise risk” within an insuranceState holding company system. When the amendments are adopted by a particular state, the amended Insurance Holding Company System Regulatory Actacts and Regulationregulations also impose more extensive informational requirements on parents and other affiliates of licensed insurers or reinsurers with the purpose of protecting them from enterprise risk, including requiring an annual enterprise risk report by the ultimate controlling person identifying the material risks within the insurance holding company system that could pose enterprise risk to the licensed companies and requiring a person divesting its controlling interest to make a confidential advance notice filing.
The National Association of Insurance Commissioners (“NAIC”) Insurance Holding Company System Model Act and Model Regulation includes provisions that, when adopted by states, will require the ultimate controlling person of an insurance holding company system to file an annual group capital calculation, unless the ultimate controlling person or its insurance holding company system is exempt from the filing requirement. The group capital calculation is designed to assist state insurance regulators in understanding the financial condition of non-insurance entities that are part of an insurance holding company system and the degree to which insurance companies are supporting those non-insurance entities.
Regulation of Dividends and Other Payments from Insurance Subsidiaries. The ability of an insurer to pay dividends or make other distributions is subject to insurance regulatory limitations of the insurer’s state of domicile. Such laws generally limit the payment of dividends or other distributions above a specified
level. Dividends or other distributions in excess of such thresholds are “extraordinary” and are subject to prior notice and approval, or non-disapproval after receiving notice.
Credit for Reinsurance. Arch Re U.S. is subject to insurance regulation and supervision that is similar to the regulation of licensed primary insurers. However, except for certain mandated provisions that must be included in order for a ceding company to obtain credit for reinsurance ceded, the terms and conditions of reinsurance agreements generally are not subject to regulation by any governmental authority.
A U.S. primary insurer ordinarily will enter into a reinsurance agreement only if it canis able to obtain credit for the reinsurance ceded on its U.S. statutory-basis financial statements. As a result of the requirements relating to the provision of credit for reinsurance, and Arch Re U.S. and Arch Re Bermuda are indirectly subject to certain regulatory requirements imposed by U.S. jurisdictions in which ceding companies are domiciled.
In general, credit for reinsurance is

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allowed if the reinsurer is licensed or “accredited” in the state in which the primary insurer is domiciled; or if none of the above applies, to the extent that the reinsurance obligations of the reinsurer are collateralized appropriately, typically through the posting of a letter of credit for the benefit of the primary insurer or the deposit of assets into a trust fund established for the benefit of the primary insurer. Most states have adopted provisions of
U.S. primary insurers also may receive credit for reinsurance ceded to unauthorized reinsurers without collateral or with less than 100% collateral under revisions to the NAIC Credit for Reinsurance Model Law (#785) and the Credit for Reinsurance Model Regulation (#786) (collectively, the “NAIC Model Law and Regulation”). All U.S. states, the District of Columbia and Puerto Rico have adopted revisions to the NAIC Model Law and Regulation that allow full credit to U.S. ceding insurers for reinsurance ceded to reinsurers that have been approved as “certified reinsurers” based upon less than 100% collateralization. As of February 23, 2023, Arch Re Bermuda is approved as a “certified reinsurer” in 35 states.
44 states with applications pending in 8 additional states and territories. In April 2018,addition, 2019 amendments to the U.S.NAIC Model Law and the EU entered into the Bilateral Agreement between the United States of America and the European Union on Prudential Matters Regarding Insurance and Reinsurance (the “EU-US Covered Agreement”) that, among other things, wouldRegulation eliminate reinsurance collateral requirements for qualified U.S. reinsurers operatingthat (1) have their head office or are domiciled in member states of the EU, insurance market, and eliminate reinsurance collateral requirements for qualified EU reinsurers operating in the U.S. insurance market. In December 2018, the U.S. Secretary of the Treasury and the U.S. Trade Representative announced that they had reached agreement with the U.K. onand other jurisdictions deemed “reciprocal jurisdictions” by the NAIC (although individual states may reject the designation of such other jurisdictions as a covered agreement (“U.K. Covered Agreement”“reciprocal jurisdiction”) that would extend terms nearly identical to the EU Covered Agreement to insurers, and reinsurers operating in the U.K. should the United Kingdom ultimately leave the EU.(2) have been approved as a “reciprocal jurisdiction reinsurer.” The NAIC haslist of reciprocal jurisdictions includes Bermuda, Japan and Switzerland. All U.S. states, the District of Columbia and Puerto Rico have adopted the 2019 amendments to the Credit for ReinsuranceNAIC Model Law and Regulation that would implement the EU-US Covered Agreement and the U.K. Covered Agreement and eliminate reinsurance collateral requirements for qualified reinsurers domiciled in other jurisdictions deemed “Reciprocal Jurisdictions”.The NAIC has published a listRegulation. As of Reciprocal Jurisdictions that includesFebruary 23, 2023, Arch Re Bermuda but it is possible that one or more states that adopt


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the amended Credit for Reinsurance Model Law and Regulation may not accept Bermudaapproved as a Reciprocal Jurisdiction.“reciprocal jurisdiction reinsurer” in 45 states with applications pending in 7 additional states and territories.
Risk Management and ORSA. In 2012, theThe NAIC adopted the Risk Management and Own Risk and Solvency Assessment Model Act which requires domestic insurers to maintain a risk management framework and establishes a legal requirement for domestic insurers to conduct an ORSA in accordance with the NAIC’s ORSA Guidance Manual. The (“ORSA Model ActAct”) provides that domestic insurers, or their insurance group, must regularly conduct an ORSA consistent with a process comparable to the ORSA Guidance Manual process. The ORSA Model Act also provides that, no more than once a year, an insurer’s domiciliary regulator may request that an insurer submit an ORSA summary report, or any combination of reports that together contain the information described in the ORSA Guidance Manual, with respect to the insurer and/or the insurance group of which it is a member. If and when the ORSA Model Act is adopted by an individual state, the stateStates may impose additional internal review and regulatory filing requirements on licensed insurers and their parent companies. All states have enacted the ORSA Model Act or substantially similar legislation.
Cybersecurity and Privacy. The NAIC has adopted an Insurance Data Security Model Law, which, when adopted by the states, will requirerequires insurers, insurance producers and other entities required to be licensed
under state insurance laws to comply with certain requirements under state insurance laws, such as developing and maintaining a written information security program, conducting risk assessments and overseeing the data security practices of third-party vendors.vendors and meeting expanded breach notification requirements. This model law has been adopted in states in which our U.S. subsidiaries are licensed and operate. In addition, certain state insurance regulators are developing or have developed regulations that may impose regulatory requirements relating to cybersecurity on insurance and reinsurance companies (potentially including insurance and reinsurance companies that are not domiciled, but are licensed, in the relevant state). For example,Many regulators, including the Federal Trade Commission (“FTC”), the New York State Department of Financial Services has adopted a regulation pertaining(“NYDFS”), and the U.S. Department of the Treasury’s Office of Foreign Assets Control (“OFAC”), have issued new guidance on managing cybersecurity risks which expand existing regulatory requirements. Additional guidance and rules relating cybersecurity that are applicable to us are expected, especially from NYDFS.
In March 2022, the U.S. government passed the Cyber Incident Reporting for Critical Infrastructure Act of 2022, which will require companies deemed to be part of U.S. critical infrastructure to report any substantial cybersecurity incidents or ransom payments to the federal government within 72 and 24 hours, respectively. The implementing regulations are not expected for all bankinganother two-to-three years. In addition, on March 9, 2022, the SEC proposed amendments to certain rules regarding cybersecurity disclosure in order to standardize and insurance entities under its jurisdiction, effective asenhance disclosures made by public companies. Such rulemaking undertakes to expand security incident reporting requirements and may subject public companies to additional and uncertain requirements in the event of March 1, 2017, which applies to us. an actual or perceived security incident.
Privacy legislation and regulation has also become an issue of increasing focus in many states. In addition, the California legislature passed theThe California Consumer Privacy Act of 2018(“CCPA”) which also applies to us,, came into effect on January 1, 2020, and grants California consumers certain rights to, among other things, access and delete data about them subject to certain exceptions, as well as a private right of action related to cybersecurity breaches with statutory penalties. AdditionalAdditionally, the California Privacy Rights Act of 2020 (“CPRA”) passed as part of the November 2020 ballot and became fully effective on January 1, 2023. The CPRA applies to some of our data collecting and processing activities, and it provides for additional consumer privacy laws expanding CCPArights, and additional regulatory obligations over certain data. It also created a new privacy focused California regulatory agency with enforcement authority, the California Privacy Protection Agency (“CPPA”). The CPPA is also currently finalizing proposed regulations implementing the CPRA, and

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is mandated by the CPRA to adopt additional regulations that have already been proposed in California, and ayet to be proposed.
A range of new cybersecurity and privacy laws are also under consideration in other states, as well as by the federal government. We cannot predictThe American Data Privacy and Protection Act introduced in the impactU.S. Congress, if enacted, would also apply to our U.S. operations. Several states, including Virginia, Colorado, Connecticut and Utah, have adopted new comprehensive data privacy legislation that is coming into effect in 2023. While these evolvingstate laws provide consumer privacy rights and regulations may have on our business, financial condition or results of operations, but we could incur additional costs resultingprotections like those in the CCPA and CPRA, they exempt entities subject to the Gramm-Leach-Bliley Act from compliance with such laws and regulations.their requirements.
Risk-Based Capital Requirements. Licensed U.S. property and casualty insurance and reinsurance companies are subject to risk-based capital requirements that are designed to assess capital adequacy and to raise the level of protection that statutory surplus provides for policyholder obligations. The risk-based capital model for property and casualty insurance companies measures three major areas of risk facing property and casualty insurers: underwriting, which encompasses the risk of adverse loss developments and inadequate pricing; declines in asset values arising from credit risk; and declines in asset values arising from investment risks. An insurer will be subject to varying degrees of regulatory action depending on how its statutory surplus compares to its risk-based capital calculation. Under the approved formula, an insurer’s total adjusted capital is compared to its authorized control level risk-based capital. If this ratio is above a minimum threshold, no company or regulatory action is necessary. Below this threshold are four distinct action levels at which an insurer’s domiciliary state regulator can intervene with increasing degrees of authority over an insurer as the ratio of surplus to risk-based capital requirement decreases. The mildest regulatory action requires an insurer to submit a plan for corrective action; the most severe requires an insurer to be rehabilitated or liquidated.
Our mortgage insurance operations are not currently subject to state risk-based capital requirements, but rather are subject to state risk to capital or minimum policyholder position requirements. The NAIC has established a Mortgage Guaranty Insurance Working Group which is engaged in developing changes to the Mortgage Guaranty Insurers Model Act, including the development of a risk based capital modelsupplemental disclosures schedules unique to mortgage guaranty insurers.
Guaranty Funds. Most states require all admitted insurance companies to participate in their respective guaranty funds which cover certain claims against insolvent insurers. Solvent insurers licensed in these states are required to cover the losses paid on behalf of insolvent insurers by the guaranty funds and are generally subject to annual assessments in the states by the guaranty funds to cover these losses. Mortgage
guaranty insurance, among other lines of business, is typically exempt from participation in guaranty funds.
Climate Change and Financial Risks. U.S. state insurance regulators have increased their oversight of insurance company governance, reporting and disclosure relating to the potential risks presented by climate change and one or more states may adopt climate-change-related requirements that impact our insurance and reinsurance companies. In 2020, NYDFS issued a circular letter stating that NYDFS expects insurers authorized in New York to integrate the consideration of climate risks into their governance frameworks, risk management processes and business strategies, including the designation of a board committee or member and senior management function to be accountable for the company’s assessment and management of the financial risks from climate change. In 2021, NYDFS issued additional Guidance for New York Domestic Insurers on Managing the Financial Risks from Climate Change that reiterates many of the principles outlined in the 2020 circular letter. New York and other states also require licensed insurers with countrywide premium written of at least $100 million to annually provide disclosure of their assessment and management of climate related risks.
Federal Regulation.Regulation. Although state regulation is the dominant form of regulation for insurance and reinsurance business, a number of federal laws affect and apply to the insurance industry. The Dodd-Frank Wall Street Reform and Consumer Protection Act of 2010 (“Dodd-Frank”) created the Federal Insurance Office (“FIO”) within the Department of Treasury (“U.S. Treasury”), which is not a federal regulator or supervisor of insurance, but monitors the insurance industry for systemic risk, administers the Terrorism Risk Insurance Program (“TRIP”), consults with the states regarding insurance matters, and develops federal policy on aspects of international insurance matters.matters, and is authorized to assist the U.S. Secretary of the Treasury in negotiating “covered agreements” between the U.S. and foreign governments that address insurance prudential measures. In 2022 and 2021, the FIO requested public comment on insurance responses to climate-related financial risks and catastrophic cyber incidents affecting critical infrastructure. This information gathering could culminate in recommendations for new legislation to the U.S. Congress. On October 18, 2022, the FIO issued a proposed data collection from insurers to assess climate related financial risk across the United States. See “Risk Factors—Risks RelatedRelating to Our Industry-WeIndustry, Business and Operations—We could face unanticipated losses from war, terrorism, cyber-attacks,


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cyber attacks, pandemics and political instability, and these or other unanticipated losses could have a material adverse effect on our financial condition and results of operations” for more information on TRIP. In addition, FIO is authorized to assist the U.S. Secretary

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Certain other federal laws also directly or indirectly impact mortgage insurers, including the Real Estate Settlement Procedures Act of 1974, (“RESPA”), the Homeowners Protection Act of 1998, (“HOPA”), the Equal Credit Opportunity Act, the Fair Housing Act, the Truth In Lending Act, (“TILA”), the Fair Credit Reporting Act of 1970, (“FCRA”), and the Fair Debt Collection Practices Act. Among other things, these laws and their implementing regulations prohibit payments for referrals of settlement service business, require fairness and non-discrimination in granting or facilitating the granting of credit, govern the circumstances under which companies may obtain and use consumer credit information, define the manner in which companies may pursue collection activities, and require disclosures of the cost of credit and provide for other consumer protections.
GSE Eligible Mortgage Insurer Requirements. GSEs impose requirements on private mortgage insurers so that they may be eligible to insure loans sold to the GSEs, known as the Private Mortgage Insurer Eligibility Requirements (“PMIERs”). The PMIERs apply to our eligible mortgage insurers, but do not apply to Arch Mortgage Guaranty Company, which is not GSE-approved. The PMIERs impose limitations on the type of risk insured, the forms and insurance policies issued, standards for the geographic and customer diversification of risk, procedures for claims handling, acceptable underwriting practices, standards for certain reinsurance cessions and financial requirements, among other things. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value, and original credit score of performing loans, and the delinquency status of non-performing loans). Our eligible mortgage insurers satisfied
Russian Sanctions. The U.S. first imposed sanctions on the PMIERs’ financial requirements asRussian Federation following its annexation of December 31, 2019.Crimea in 2014. Since February 2022, the U.S. has imposed additional sanctions on Russia in response to the Russian invasion of Ukraine and the ongoing hostilities. Given the evolving situation, we are closely monitoring developments and the sanctions imposed, to ensure our business remains in compliance with any applicable sanctions measures imposed.

Canada
Arch Insurance Canada and Arch Re Canada are subject to federal, as well as provincial and territorial, regulation in Canada in the provinces and territories in which they underwrite insurance/reinsurance. The Office of the Superintendent of Financial Institutions (“OSFI”) is the federal regulatory body that, under the Insurance Companies Act (Canada), prudentially regulates federal Canadian and non-Canadian insurance and
reinsurance companies operating in Canada. Arch Insurance Canada is licensed to
carry on insurance business by OSFI and in each province and territory. Arch Re Canada is licensed to carry on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test promulgated by OSFI called the Minimum Capital Test, and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. OSFI has implemented a risk-based methodology for assessing insurance/reinsurance companies operating in Canada known as its “Supervisory Framework.” In applying the Supervisory Framework, OSFI considers the inherent risks of the business and the quality of risk management for each significant activity of each operating entity. Under the Insurance Companies Act (Canada), approval of the Minister of Finance (Canada) is required in connection with certain acquisitions of shares of, or control of, Canadian insurance companies such as Arch Insurance Canada, and notice to and/or approval of OSFI is required in connection with the payment of dividends by or redemption of shares by Canadian insurance companies such as Arch Insurance Canada.
United Kingdom
General. The Prudential Regulation Authority (“PRA”) and the Financial Conduct Authority (“FCA”) regulate insurance and reinsurance companies and the FCA regulates firms carrying on insurance mediationdistribution activities operating in the U.K. both under the Financial Services and Markets Act 2000 (the “FSMA”). In May 2004, Arch Insurance (U.K.) (formerly Arch Insurance Company (Europe) Limited) was granted the relevant permissions for the classes of insurance business which it underwrites in the U.K. In 2009, AUAL was licensed and authorized by the relevant U.K. regulator and the Lloyd’s Franchise Board and holds the relevant permissions for the classes of insurance business which are underwritten in the U.K. by Arch Syndicate 2012.AMAL currently manages Arch Syndicate 2012 has one corporate member (the legal entity through which Funds at Lloyd’s are deposited),and Arch Syndicate Investments Ltd. (“ASIL”). The Lloyd’s syndicates managed1955 pursuant to its authorizations by BMAL have 11 corporate members.the U.K. regulators and Lloyd’s. All U.K. companies are also subject to a range of statutory provisions, including the laws and regulations of the Companies Act 2006 (as amended) (the “U.K. Companies Act”).
The objectives of the PRA are to promote the safety and soundness of all firms it supervises and to secure an appropriate degree of protection for policyholders. The objectives of the FCA are to ensure customers receive financial services and products that meet their needs, to promote sound financial systems and markets and to ensure that firms are stable and


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resilient with transparent pricing information and which compete effectively and have the interests of their customers and the integrity of the market at the heart of how they run their business. The PRA has responsibility for the prudential regulation of banks and insurers, while the FCA has responsibility for the conduct of business regulation in the wholesale and retail markets. The

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PRA and the FCA adopt separate methods of assessing regulated firms on a periodic basis. Arch Insurance (U.K.), AUAL and BMALAMAL are subject to periodic assessment by the PRA along with all regulated firms. Arch Insurance (U.K.), AUAL and BMALAMAL are subject to regulation by both the PRA and FCA. Castel is authorized and regulated by the FCA and is subject to periodic assessment and review by the FCA.
Lloyd’s Supervision. The operations of AUALAMAL (as managing agent of Arch Syndicate 2012)2012 and BMAL (as managing agent of BarbicanArch Syndicate 1955 and Arcus Syndicate 1856)1955) and each syndicate’s respective corporate members, are subject to the byelaws and regulations made by (or on behalf of) the Council of Lloyd’s, and requirements made under those byelaws. The Council of Lloyd’s, established in 1982 by Lloyd’s Act 1982, has overall responsibility and control of Lloyd’s. Those byelaws, regulations and requirements provide a framework for the regulation of the Lloyd’s market, including specifying conditions in relation to underwriting and claims operations of Lloyd’s participants. The Council of Lloyd’s has discretionary powers to regulate corporate members’ underwriting at Lloyd’s. Lloyd’s is also subject to the provisions of the FSMA. Lloyd's is authorized by the PRA and regulated by the PRA and FCA. Those entities acting within the Lloyd’s market are required to comply with the requirements of the FSMA and provisions of the PRA’s or FCA's rules, although the PRA has delegated certain of its powers, including some of those relating to prudential requirements, to Lloyd’s. Each corporate member of Lloyd’s is required to contribute a percentage of the member’s premium income for each year of account to the Lloyd’s central fund. The Lloyd’s central fund is available if members of Lloyd’s assets are not sufficient to meet claims for which the member is liable. Each corporate member of Lloyd’s may also be required to contribute to the central fund by way of a supplement to a callable layer of up to 3%5% of the corresponding member’s premium income limit for the relevant year of account. In addition, ASIL as a member of Arch Syndicate 2012, and Barbican Corporate Member Limited, as a member of Barbican Syndicate 1955, are each approved to underwrite excess and surplus lines insurance in most states in the U.S. through
Principles for doing business at Lloyd’s licenses. Such activities must be in compliance with(the “Principles”) replaced the Lloyd’s requirements.Minimum Standards (the previous regime which set out the Lloyd’s regulatory requirements for Lloyd’s managing agents) and became effective from the third quarter of 2022. The Principles set out the fundamental responsibilities expected of all managing agents, including AMAL, and is the basis against which Lloyd’s will review and categorize all syndicates and managing agents in terms of their capacity and performance. While offering greater flexibility, the principles-based oversight requires greater reliance on AMAL to interpret and apply the rules.
Financial Resources. The European solvency framework and prudential regime for insurers and reinsurers, the Solvency II Directive 2009/138/EC (“Solvency II”), took effect in full on January 1, 2016. See “European Union—Insurance and Reinsurance Regulatory Regime” below for additional details.
Arch Insurance (U.K.), AUAL (on behalfand the corporate members of Arch Syndicate 2012)2012 and BMAL (on behalf of BarbicanArch Syndicate 1955)1955 are
currently required to meet economic risk-based solvency requirements imposed under Solvency II. Solvency II, together with European Commission “delegated acts” and guidance issued by the European Insurance and Occupational Pensions Authority (“EIOPA”) sets out classification and eligibility requirements, including the features which capital must display in order to qualify as regulatory capital.
On January 31, 2020, the U.K. withdrew from the EU with the terms of Brexit set forth in the Withdrawal Agreement agreed by the U.K. Parliament and the EU Parliament. At the expiration of the transition period from January 31, 2020 until December 31, 2020 (the “Transition Period”), during which time the U.K. remained in the EU customs union and single market, the European Union (Withdrawal) Act 2018, as amended, has transposed all applicable direct EU legislation into domestic U.K. law, thus ensuring the continuing application of Solvency II under the U.K.’s financial services regulatory regime.
The U.K. government commenced a post-Brexitreview of Solvency II in June 2020. The response to the review, published in early July 2021, suggested that there will likely be changes in the U.K. Solvency II framework, including the removal of certain prescriptive requirements. In parallel, the PRA also undertook a review of Solvency II and, launched a quantitative study which contained both quantitative studies and qualitative questions intended to guide future reforms of Solvency II in the U.K. Additionally, the U.K. government had undertaken a Future Regulatory Framework Review to determine how the financial services regulatory framework should adapt to the U.K.’s new position outside of the EU. On April 28, 2022, HM Treasury announced a third consultation period for Solvency II, which will inform the design of the final reform package. In HM Treasury’s consultation response, published on November 17, 2022, the government stated it will introduce a simpler, clearer and more tailored regime. Significant changes to be introduced by these reforms include the proposal to reduce the risk margin component of the solvency capital calculation by 30% for general insurers and remove branch capital requirements.

In January 2022, the U.K. Parliament, via its Industry and Regulators Committee (the “Committee”), launched an inquiry into the U.K. insurance and reinsurance industry and, specifically, into the regulation of the London market, the U.K.’s market for commercial and wholesale specialty risks. The inquiry reviewed the extent to which regulatory policy is well-designed and proportionately applied, the possibilities for optimizing policy following Brexit, the roles of the current U.K. regulators, such as the FCA and the Bank of England, as well as the appropriateness of regulation. Following its enquiry, the Committee outlined industry

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concerns regarding a perceived lack of proportionality in the regulation of the London Market by the PRA and FCA, which was described as overly burdensome and demanding. The Committee explained industry concerns that an overly inflexible culture within the regulators may inhibit new forms of business within the U.K.’s commercial (re)insurance industry.The result of these reviews by the U.K. government may have an impact on whether the U.K. is granted Solvency II equivalence status by the EU in any of the three areas to which equivalence applies.
Financial Services Compensation Scheme. The Financial Services Compensation Scheme (“FSCS”) is a scheme established under FSMA to compensate eligible policyholders of insurance companies who may become insolvent. The FSCS is funded by the levies that it has the power to impose on all insurers. Arch Insurance (U.K.) could be required to pay levies to the FSCS.
Restrictions on Acquisition of Control. Under FSMA, the prior consent of the PRA or FCA, as applicable, is required, before any person can become a controller or increase its control over any regulated company, including Arch Insurance (U.K.) and AUAL,, or over the parent undertaking of any regulated company. Therefore, the PRA's or FCA's prior consent, as applicable, is required before any person can become a controller of Arch Capital. Prior consent is also required from Lloyd’s before any person can become a controller or increase its control over a corporate member or a managing agent or a parent undertaking of a corporate member or managing agent. A controller is defined for these purposes as a person who holds (either alone or in concert with others) 10% or more of the shares or voting power in the relevant company or its parent undertaking.
Restrictions on Payment of Dividends. Under English law, all companies are restricted from declaring a dividend to their shareholders unless they have “profits available for distribution.” The calculation as to whether a company has sufficient profits is based on its accumulated realized profits minus its accumulated realized losses. U.K. insurance regulatory laws do not prohibit the payment of dividends, but the PRA or FCA, as applicable, requires that insurance companies, insurance intermediaries and other regulated entities maintain certain solvency margins and may restrict the payment of a dividend by Arch Insurance (U.K.), BMAL and Castel.AMAL or Castel, for example.
European Union Considerations. Following the referendum in June 2016 in which a majority of voting U.K. citizens voted in favor of the U.K. leaving the EU and the approval of the Withdrawal Agreement by both the U.K. Parliament and the EU Parliament, the U.K. withdrew from the EU on January 31, 2020 (“Brexit”). The terms of Brexit are set forth in the Withdrawal Agreement and provide for a transition period of 11 months from January 31, 2020 until December 31, 2020 (unless a single extension of one to two years to this transition period is agreed between the U.K. government and the EU by June 30, 2020, although the U.K. government has indicated that


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no extension will be sought) during which time the U.K. will remain in the EU customs union and single market (“Transition Period”). During the Transition Period, there will bewas no change in passporting rights for financial institutions in the U.K. This authorization enables Arch Insurance (U.K.) and AUAL to exercise “passporting” rights to establish a branch in any other Member State of the EU, where such entity will be subject to the insurance regulations of each such Member State with respect to the conduct of its business in such Member State, but remain subject only to the financial and operational supervision by the PRA or FCA (as applicable). Through their respective authorizations in the U.K., Arch Insurance (U.K.)’s, AUAL’s, BMAL’s and Castel’s authorizations are currently recognized throughout the European Economic Area (“EEA”), subject only to certain notification and application requirements. The conditions for the establishment of branches in Member States of the EU are set out in Solvency II. Arch Insurance (U.K.) currently has branches in Germany, Italy, Spain and Denmark. During the Transition Period, through their passporting rights, our companies authorized in the U.K. will continue to have the freedom to provide insurance services anywhere in the EEA subject to compliance with certain rules governing such provision, including notification to the PRA or FCA, as applicable. Under our Brexit plan, fromsince January 2020 nearly all of the EUEEA insurance business of Arch Insurance (U.K.) ishas been conducted by Arch Insurance (EU).
Unless As part of our Brexit planning, and in advance of the Transition Period is extended beyond December 31, 2020 (of which any single extensionexpiring, a transfer of onethe EEA legacy business (excluding inwards reinsurance) from Arch
Insurance (U.K.) to two years must be agreed betweenArch Insurance (EU) was completed under Part VII of the U.K. governmentFinancial Services and Market Act 2000 at the EU by June 30, 2020), there will be aend of December 2020 (“Part VII Transfer”).
Despite the loss of passporting rights, for financial institutionsAMAL, Syndicate 2012 and Syndicate 1955 are still able to write business in the EEA via the Lloyd’s Insurance Company, S.A. (“Lloyd’s Brussels”). Lloyd’s has been in discussions with the Belgium Financial Services Markets Authority (“Belgium FSMA”) and the National Bank of Belgium regarding the Lloyd’s Brussels operating model. In January 2021, Lloyd’s released a communication stating that its discussions with supervisors had focused on certain risk placement services for open market business which was being performed by managing agents on behalf of Lloyd’s Brussels.Lloyd’s Brussels is in an ongoing dialogue with the Belgium FSMA in its effort to overhaul its initial underwriting structures and is deploying significant efforts and investment to adjust its operating model to satisfy the Belgian authority in the post-Brexit environment. This may have an impact on the way managing agents and syndicates access and operate on the Lloyd’s platform. Lloyd’s Brussels is seeking to ensure that the claims it pays and complaints it processes preserve the objectives of policyholder protection and market discipline under the Insurance Distribution Directive.
The U.K. government established a Temporary Permissions Regime (“TPR”) which came into force with effect from January 1, 2021, which allows EEA firms such as Arch Re Europe and Arch Insurance (EU), exceptcovered by a passport prior to that date, who wish to continue carrying out business in the extent that any aspect ofU.K. in the longer term, to operate in the U.K. for a limited period while they seek authorization or recognition from the U.K. regulators. However, no TPR-equivalent regime is preserved in place for U.K. firms who wish to continue carrying out business in the EEA.In the absence of a separate agreement betweenTPR-equivalent regime for U.K. firms, the EUability of U.K. firms (including, Arch Insurance (U.K.), AMAL and Castel) to continue doing business in the EEA depends on applicable EEA state local law and regulation. Similarly, there has been no decision yet made by the European Commission on whether or not the U.K.’s financial services regulatory regime will be granted third-country equivalence for the purposes of reinsurance, solvency calculation and/or group supervision under Solvency II. In the absence of such declarations, U.K. firms are subject to more stringent requirements in carrying out reinsurance business with EEA firms.
The long-term implications of Brexit on the Solvency II framework in the U.K. arecontinues to remain uncertain afterin relation to the expirationarrangements that will allow U.K. and EU-established firms to continue to effectively transact business with each other and how the future relationship between the two parties will adversely affected regulated entities. See

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“Risk Factors—Risks Relating to Our Industry—TheIndustry, Business and Operations—New legislation or regulations relating to the U.K.’s Withdrawalwithdrawal from the EU could adversely affect us.”
On December 24, 2020, the EU and the U.K. agreed the EU-U.K. Trade Cooperation Agreement (the “TCA”) which details the terms of the future cooperation between the U.K. and the EU. The TCA was signed by both the EU and U.K. on December 30, 2020 and entered into force on May 1, 2021. The TCA did not preserve the status of financial services and as a result, under the provisions of the TCA, EEA financial institutions (including our Irish operating subsidiaries) lost their passporting rights into the U.K. Absent any future agreement between the U.K. and the EU on the provision of financial services by U.K. financial institutions into the EU, the post-Brexit status and rules applicable to U.K. branches of EEA financial institutions will be primarily driven by U.K. law and regulation. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—New legislation or regulations relating to the U.K.’s withdrawal from the EU could adversely affect us.”
In February 2022, a U.K.-EU Financial Services inquiry was launched by the U.K. Parliament. The European Affairs Committee (“EA Committee”) published the report in June 2022, finding that the TCA contains only limited provisions relating to insurance and financial services and raising concerns about the lack of a functioning framework for U.K.-EU co-operation. The report also found an absence of EU equivalence decisions over financial services, which will determine how London will fit into the EU market post-Brexit. Overall, the EA Committee called on the U.K. government to step up its political and diplomatic engagement with the EU regarding financial services. In June 2022, the Treasury Select Committee announced the formation of a subcommittee to scrutinize proposed post-Brexit financial regulations in the U.K., replacing the role previously held by the EU. See “Risk Factors—Risks Relating to Our Industry, Business and Operations—New legislation or regulations relating to the U.K.’s withdrawal from the EU could adversely affect us.”
ESG Considerations. The U.K. government has a long-term ambition to “green” the financial system and align it with the U.K.’s 2050 “Net Zero” target (i.e.,100% greenhouse gas emissions reduction) under the Climate Change Act 2008. As part of those efforts, on January 17, 2022, the U.K. passed mandatory climate related financial disclosure requirements under the Companies (Strategic Report) (Climate-related Financial Disclosure) Regulations 2022. The regulations apply to large companies (including some of our U.K. entities) for financial years starting on or after April 6, 2022. The regulations generally align risk disclosures (aligned with the recommendations of the Taskforce on Climate-related Financial Disclosures (“TCFD”)).
In 2021, the U.K. government published its Greening Finance Roadmap to Sustainable Investing (the “Roadmap”), which announced proposals to extend the scope of the U.K.’s sustainable finance framework beyond climate change. Further to the Roadmap, the FCA issued a consultation paper in November 2022 on its proposed regime of Sustainability Disclosure Requirements (“SDR”), which would require corporate disclosures, asset manager and asset owner disclosures, and investment product disclosures covering a broader range of sustainability topics. The SDR rules are expected to be finalized in the first half of 2023, with disclosures applying from 2024 and reporting commencing in 2025.
In October 2022, the Green Technical Advisory Group ("GTAG") published its advice to the U.K. government on the development of the U.K. Green Taxonomy. Whilst not binding, the GTAG advice gives a likely indication as to what the U.K. Green Taxonomy may look like and how it might differ from the EU Sustainable Finance Taxonomy Regulation (“EU Taxonomy”). The GTAG report notes that the primary focus of the U.K. Green Taxonomy should be on investors and financial market participants and, as many U.K. financial market participants will also be subject to the EU Taxonomy, the U.K. should ensure close alignment with the EU Taxonomy so as to limit divergence and market fragmentation. If the GTAG advice is adopted, the U.K. Green Taxonomy should align with the EU Taxonomy except where doing so impact the simplicity or usability of the activity classification system or increases the risk of greenwashing.
On December 14, 2022, the U.K. Government said it would delay secondary legislation under the taxonomy regulations (originally anticipated by the end of 2022). Instead, the U.K. will restate EU law around the taxonomy and take another year to decide the U.K.’s approach. In addition, Lloyd’s has mandated that managing agents must create an ESG framework and strategy, for sign-off in the 2023 business planning cycle. Lloyd’s has also imposed ESG focused outcomes by way of the Principles with a particular focus on culture, investment and underwriting profitability. See “Lloyd’s Supervision” above for additional details.
Russian Sanctions. Since the Russian invasion of Ukraine in February 2022, the U.K. government has instituted a new sanctions regime targeting Russia.The sanctions imposed include prohibitions on providing financial services (including insurance and reinsurance) to persons connected with Russia in relation to certain restricted goods and services, and the freezing of assets owned or controlled by designated persons. The U.K., U.S. and EU often consult with each other with respect to their respective sanctions programs.


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Ireland
General. The CBOICBI regulates insurance and reinsurance companies and intermediaries authorized in Ireland. Our three Irish operating subsidiaries are Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe.Europe Limited (“Arch Underwriters Europe”). Arch Re Europe was licensed and authorized by the CBOICBI as a non-life reinsurer in October 2008 and as a life reinsurer in November 2009. Arch Insurance (EU) was licensed and authorized by the CBOICBI as a non-life insurer in December 2011. As part of our Brexit planning, it was decided thatplan, Arch Insurance (EU) would becamereceived approval from the platform for Arch's EU non-life insurance business. A change in business plan application was submittedCBI to expand the CBOI and approval was received in February 2019. Arch Mortgage Insurance Designated Activity Company name was changed to Arch Insurance (EU) to reflect the expanded nature of its business in 2019 and commenced writing expanded insurance lines in the company's operations.EEA in 2020 with the Part VII Transfer completed at the end of December 2020. Arch Underwriters Europe was
registered by the CBOICBI as an insurance and reinsurance intermediary in July 2014. Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are subject to the supervision of the CBOICBI and must comply with Irish insurance acts and regulations as well as with directions and guidance issued by the CBOI.CBI.
Arch Re Europe and Arch Insurance (EU) are required to comply with Solvency II requirements. See “European Union —Insurance and Reinsurance Regulatory Regime” below for additional details. As an intermediary, Arch Underwriters Europe is subject to a different regulatory regime and is not subject to solvency capital rules but must comply with requirements such as to maintain professional indemnity insurance and to have directors that are fit and proper. Our Irish subsidiaries are also subject to the general body of Irish company laws and regulations including the provisions of the Companies Act 2014.
Financial Resources. Arch Re Europe and Arch Insurance (EU) are required to meet economic risk-based solvency requirements imposed under Solvency II. Solvency II, together with European Commission “delegated acts” and guidance issued by EIOPA sets out classification and eligibility requirements, including the features which capital must display in order to qualify as regulatory capital.
Restrictions on Acquisitions. Under Irish law, the prior consent of the CBOICBI is required before any person can acquire or increase a qualifying holding in an Irish insurer or reinsurer, including Arch Insurance (EU) and Arch Re Europe, or their parent undertakings. A qualifying holding is defined for these purposes as a direct or indirect holding that represents 10% or more of the capital of, or voting rights, in the undertaking or makes it possible to exercise a significant influence over the management of the undertaking.
Restrictions on Payment of Dividends. Under Irish company law, Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are permitted to make distributions only out of profits available for distribution. A company’s profits
available for distribution are its accumulated, realized profits, so far as not previously utilized by distribution or capitalization, less its accumulated, realized losses, so far as not previously written off in a reduction or reorganization of capital duly made. Further, the CBOICBI has powers to intervene if a dividend payment were to lead to a breach of regulatory capital requirements.
In response to the COVID-19 pandemic, the CBI issued guidance in April 2020, based on guidance issued by EIOPA, that insurance firms postpone any payment of dividend distributions or similar transactions until they can forecast their costs and future revenues with a greater degree of certainty. However, the CBI modified its guidance, with effect from October, 1 2021, so that the general restrictions on the payment of dividend distributions or variable remuneration are no longer in place. The CBI still requires (re)insurance firms to notify it in advance of any proposed distribution.
European Union Considerations. As Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe are authorized by the CBOICBI in Ireland, a Member State of the EU, those authorizations are recognized throughout the EEA. Subject only to certain notification and application requirements, Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe can provide services, or establish a branch, in any other Member State of the EEA. Although, in doing so, they may be subject


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to the laws of such Member States with respect to the conduct of business in such Member State, company law registrations and other matters, they will remain subject to financial and operational supervision by the CBOICBI only. Arch Insurance (EU) has branches in Italy and the U.K. Arch Re Accident & HealthUnderwriting ApS in Denmark (“Arch Re Denmark”) is an underwriting agency underwriting accident and health business for Arch Re Europe in Denmark. Arch Re Europe also has a branch in the U.K., which underwrites non-lifeand other reinsurance riskbusiness for Arch Re Europe. Arch Re Europe also has a branch outsidebranches in the EEA, Arch Reinsurance Europe Designated Activity Company, Dublin (Ireland), Zurich BranchU.K. and Switzerland (“Arch Re Europe Swiss Branch”).
As part of its application for registration, Arch Underwriters Europe requestedFrom January 1, 2021, under the CBOI to make the necessary notifications to permit it to provide insurance and reinsurance intermediary services in all EEA Member States. Arch Underwriters Europe currently has branches in the following EU countries: the U.K., Italy and Finland.
Following Brexit and the endprovisions of the Transition Period, the U.K.'s withdrawal from the EU will lead to a loss ofTCA our Irish regulated entities have lost their passporting rights for EEA financial institutions (including our Irish operating subsidiaries) into the U.K., except to the extent that any aspect of the regime is preserved in a separate agreement between the EU and the U.K. Absent such agreement, the post-Brexit status and rules applicable to U.K. branches of EEA financial institutions will be primarily driven by U.K. law and regulation. See “Risk Factors—Risks Relating to Our Industry—TheIndustry, Business and Operations—New legislation or regulations relating to the U.K.’s Withdrawalwithdrawal from the EU could adversely affect us.”
ESG Considerations. ESG matters have been on the CBI's agenda for a number of years. In November 2021, the CBI issued its expectations in respect of climate and broader ESG issues for all regulated firms in Ireland (including (re)insurers). The CBI's expectations focus on five key areas: governance, risk management, scenario analysis (including, but not limited to, stress testing for the purposes of the ORSA), disclosures and strategy and business model risk. The CBI has indicated that its expectations will be applied in

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a proportionate manner. In August 2022, the CBI published a Consultation Paper setting out its proposed guidance on climate change risk for the (re)insurance sector. The proposed guidance clarifies the CBI’s expectations on how (re)insurers should address climate change risks in their business and to assist (re)insurers develop their governance and risk management frameworks to do this. It is expected that over time, disclosures in respect to ESG matters may be captured in the Solvency and Financial Condition Reports of Arch's Irish entities. While this guidance is currently in draft format, Arch is closely monitoring its development given the potential impact it may have on Arch's Irish entities. See also “European Union – ESG Considerations.”
Irish Individual Accountability Framework Bill. The Central Bank (Individual Accountability Framework) Bill 2022 (the “Bill”) was published in July 2022 and legislative scrutiny of the Bill is ongoing in the Irish parliament. This Bill proposes substantive changes to the fitness and probity regime maintained by the CBI in Ireland and imposes certain additional obligations and liability for senior executives in Irish regulated financial service entities, including (re)insurance companies. The Bill is expected to come into effect in late 2023 or early 2024. See also “European Union – ESG Considerations.”
European Union
Insurance and Reinsurance Regulatory Regime. Solvency II took effect in full on January 1, 2016. Solvency II imposes economic risk-based solvency requirements across all EU Member States and consists of three pillars: Pillar I-quantitative capital requirements, based on a valuation of the entire balance sheet; Pillar II-qualitative regulatory review, which includes governance, internal controls, enterprise risk management and supervisory review process; and Pillar III-market discipline, which is accomplished through reporting of the insurer’s financial condition to regulators and the public. Solvency II is supplemented by European Commission Delegated Regulation (EU) 2015/35 (the “Delegated Regulation”), other European Commission “delegated acts” and binding technical standards, and guidelines issued by EIOPA. The Delegated Regulation sets out more detailed requirements for individual insurance and reinsurance undertakings, as well as for groups, based on the overarching provisions of Solvency II, which together make up the core of the single prudential rulebook for insurance and reinsurance undertakings in the EU.
In December 2020, EIOPA provided an opinion to the European Commission in relation to the review of the Solvency II regime. This review was initiated by the European Commission to determine if the Solvency II regime remains fit for purpose. In its opinion, EIOPA confirms that the overall Solvency II framework is working well from a prudential perspective, suggesting that there are no
fundamental changes needed but that a number of amendments are required to ensure the regime continues as a well-functioning risk-based regime. In September 2021, the European Commission published legislative proposals for amendments to the Solvency II Directive arising out of EIOPA's review of the Solvency II regime. The proposed amendments cover a number of areas including proportionality, quality of supervision, sustainability risks and group and cross-border supervision. The European Parliament and the Council will consider the proposed amendments and it is anticipated that the amendments will be approved and in force by 2023 or 2024.
In addition to the above Solvency II reform proposals, the European Commission continues to promote the development of the Insurance Recovery and Resolution Directive (“IRRD”). The proposal aims to harmonize national laws on recovery and resolution of (re)insurance undertakings. Political agreement on the IRRD should be reached by the EU Council and Parliament in 2023 and the Directive is likely to enter into force in late 2023 or in 2024.
Following Brexit,entry into the TCA by the U.K. and the EU, and the U.K.’s withdrawal from the EU will lead to a lossunder the provisions of passporting rights fromthe TCA, U.K. financial institutions have lost their passporting rights into the EU, exceptEU. It was originally envisaged that there would be a level of cooperation in relation to the extent that any aspect of the regime
is preservedfinancial services, to be reflected in a separate agreementMemorandum of Understanding between the U.K. and the EU. However, while the text of the Memorandum of Undertaking has been agreed in principle, a formal version has not yet been published. Additionally, in early February 2023, EIOPA issued its finalized Supervisory Statement on the use by EU-authorized (re)insurers of governance arrangements (such as branches) in third countries to perform functions or activities in respect of EU policyholders and risks. Arch is assessing the impact of the Supervisory Statement on its EU operations. See “Risk Factors—Risks Relating to Our Industry—TheIndustry, Business and Operations—New legislation or regulations relating to the U.K.’s Withdrawalwithdrawal from the EU could adversely affect us.”
Arch Re Europe and Arch Insurance (EU), being established in Ireland and authorized by the CBOICBI, are able to establish branches and provide reinsurance services, subject to similar regulatory notifications and there being no objection from the CBOICBI and the Member States concerned to establish branches and provide reinsurance services, and, in respect of Arch Insurance (EU), insurance services in all EEA states.
Solvency II does not prohibit EEA insurers from obtaining reinsurance from reinsurers licensed outside the EEA, such as Arch Re Bermuda. As such, and subject to the specific rules in each Member State, Arch Re Bermuda may do business from Bermuda with insurers in EEA Member States, but it may not directly operate its reinsurance business within the EEA. Article 172 of Solvency II provides that reinsurance

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contracts concluded by insurance undertakings in the EEA with reinsurers having their head office in a country whose solvency regime has been determined to be equivalent to Solvency II shall be treated in the same manner as reinsurance contracts with undertakings in the EEA authorized under Solvency II. In this regard, with effect fromFrom January 1, 2016, Bermuda was deemed by the supervisory regime, including the solvency regime, in Bermuda has been determinedEuropean Commission to be equivalent to that laid down infor Solvency II except in relation to captives and special purpose insurers.purposes. Solvency II also includes specific measures providing for the supervision of insurance and reinsurance groups. However, as a consequence of the above determination of equivalence, pursuant to Article 260 of Solvency II, regulators within the EEA are required to rely on the worldwide group supervision exercised by the BMA. EIOPA has also indicated that, on a case by case basis, groups subject to this worldwide supervision may be exempted from any EEA sub-group supervision, where this results in more efficient supervision of the group and does not impair EEA supervisors in respect of their individual responsibilities.
The Insurance Distribution Directive ("IDD"(“IDD”) was published in February 2016. EEA Member States were required to transpose the IDD by October 1, 2018. It replaces the existing Insurance Mediation Directive. The IDD applies to all distributors of insurance and reinsurance products (including insurers and reinsurers selling directly to customers) and strengthens the regulatory regime applicable to distribution activities through increased transparency, information and conduct requirements. The principal impact of the IDD is on the insurance market, however, requirements that apply across insurance and reinsurance include more specific conditions regarding knowledge and continuing professional development requirements for those involved in distribution of (re)insurance products. The IDD continues the existing ability for intermediaries established in a Member State of the EU to establish branches and provide services to all EEA states. Arch Underwriters Europe, being established in Ireland and


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authorized by the CBOI,CBI, is able, subject to regulatory notifications and there being no objection from the CBOI,CBI, to establish branches and provide services in all EEA states.
Privacy. The European General Data Protection Regulation (the “GDPR”“EU GDPR”) came into effect on May 25, 2018. The EU GDPR aims to introduce consistentgoverns the collection, use, disclosure, transfer or other processing of personal data, protection rules across the EU and EEA, and its scope extends to certain entities not established in the EEA if they process personal data or offer goods or services to, or monitor the behavior of, EEA data subjects. The EU GDPR contains a number of requirements regarding the processing of personal data about individuals, including mandatory security breach reporting, new and strengthened individual rights, evidenced data controller accountability for compliance with the GDPR principles (including fairness and transparency), maintenance of data processing activity records and the implementation of “privacy by design,” including through the completion of
mandatory Data Protection Impact Assessments in connection with higher risk data processing activities.
In addition, the EU GDPR increases scrutiny of transfers of personal data to jurisdictions which the European Commission does not recognize as having “adequate” data protection laws. In particular, on July 16, 2020, the Court of Justice of the EU (Court of Justice) in Schrems II invalidated the European Union-United States (EU-U.S.) Privacy Shield on the grounds that the EU-U.S. Privacy Shield failed to offer adequate protections to EU personal information transferred to the U.S. While the Court of Justice upheld the use of other data transfer mechanisms, such as the Standard Contractual Clauses (“SCCs”), the decision has led to some uncertainty regarding the use of such mechanisms for data transfers to the U.S. and the Court of Justice made clear that reliance on SCCs alone may not necessarily be sufficient in all circumstances. The European Data Protection Board issued additional guidance regarding international transfers which may require us to implement additional safeguards to further enhance the security of data transferred out of the EEA and the European Commission published new versions of the SCCs in June 2021, which place onerous obligations on the parties. On October 7, 2022, the U.S. President introduced an Executive Order to facilitate a new Trans-Atlantic Data Privacy Framework which will act as a successor to the invalidated EU-U.S. Privacy Shield. If approved by the European Commission and implemented, the agreement will facilitate the transatlantic flow of personal data and provide additional safeguards to any existing data transfer mechanisms (including SCCs) for companies transferring personal data from the EU to the U.S. However, before entities rely on the new EU-U.S. Privacy Shield, there are still legislative and regulatory steps that must be undertaken both in the U.S. and in the EU. Therefore, at present SCCs are still the primary safeguard available for personal data transfers from the EU to the U.S.
The EU GDPR imposes substantial fines for breaches and violations (up to the greater of €20 million or 4% of global turnover). The EU GDPR allows data subjects and consumer associations to lodge complaints with supervisory authorities, seek judicial remedies and obtain compensation for damages resulting from violations of the EU GDPR.
Following the end of the Transition Period on December 31, 2020, GDPR was implemented in the U.K. (the “U.K. GDPR”) with similar fines for non-compliance. The requirements of the U.K. GDPR are virtually identical to those of the EU GDPR, including the prohibition on the transfer of personal data from the U.K. to other countries that are not recognized as having “adequate” data protection laws, including the U.S., in a similar manner to the EU. Transfers of personal data from the U.K. to the EEA are unrestricted and do not require additional safeguards. In June, 2021 the European Commission formally adopted an adequacy

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decision for the U.K., meaning data can flow freely from the EU to the U.K. This adequacy decision will remain in place for four years (until June 27, 2025) after which the adequacy decision may be renewed if the U.K. continues to ensure an adequate level of data protection. However, the European Commission retains the power to suspend, repeal or amend the adequacy decision if the U.K. deviates from the level of protection currently in place. In addition, the U.K. government has published its own form of SCCs, known as the International Data Transfer Agreement and International Data Transfer Addendum to the EU SCCs. The U.K. Information Commissioner’s Office has also published its version of the transfer impact assessment and revised guidance on international transfers, although entities may choose to adopt either the EU or U.K. style transfer impact assessment. In terms of international data transfers between the U.K. and U.S., it is understood that the U.K. and the U.S. are negotiating an adequacy agreement.
ESG Considerations. A comprehensive package of measures to facilitate the progression towards sustainable economic activities was approved in principle by the European Commission in April 2021. In August 2021, two delegated regulations (the “EC Regulations”) amending sectoral legislation, including the Solvency II Directive and the Insurance Distribution Directive, were published. The EC Regulations focus on the integration of sustainability into key activities including product oversight and governance, risk management and suitability assessment procedures. The EC Regulations apply from August 2022.
The Corporate Sustainability Reporting Directive (“CSRD”), which replaces the Non-Financial Reporting Directive (“NFRD”), was published in the Official Journal of the EU in November 16, 2022 and enters into effect on January 5, 2023. Certain of our European subsidiaries are subject to NFRD. The CSRD expands the scope of sustainability reporting obligations to any European listed company or any company (including (re)insurers) meeting certain criteria. Companies which are already subject to NFRD must start reporting relevant information for financial years starting on or after January 1, 2024 beginning in 2025. Reporting obligations for other companies fulfilling certain criteria will commence in 2026 for financial years starting on or after January 1, 2025. In addition, the reporting standards under the CSRD, which provides in-scope companies with the technical detail on the information that will need to be disclosed and reported, are currently anticipated to be adopted by the European Commission by June 2023.
An additional ESG framework, the EU Taxonomy, came into force in July 2020, with in-scope companies required to comply with certain reporting obligations from January 1, 2022. The EU Taxonomy (which is a classification standard for reporting) sets out six environmental objectives with which companies' economic activities must comply if they
are to be described as environmentally sustainable. These six environmental objectives are: (1) climate change mitigation, (2) climate change adaptation, (3) sustainable use and protection of water and marine resources, (4) transition to a circular economy, (5) pollution prevention and control and (6) the protection and restoration of biodiversity and ecosystems. In addition, reporting obligations apply to in-scope companies regarding (1) the financial products they provide and (2) the environmental sustainability of an in-scope company's activities, which is to be disclosed in non-financial statements that are currently required under the NFRD (and subsequently under the CSRD once it is implemented). Certain of our European entities will fall within the scope of certain reporting obligations following the implementation of the CSRD.
In February 2022, the European Commission adopted a proposal for the Corporate Sustainability Due Diligence Directive (“CSDD”) and negotiation is ongoing. While the main focus of this proposal is on conducting due diligence on human rights and environmental impacts within a company and across its value chain, there are also additional sustainability requirements for certain in scope entities. As the CSDD is at an early proposal stage, its applicability to certain of our European entities is unclear, but we will monitor the development of the CSDD closely.
In tandem with all of the above, EIOPA continues to engage with stakeholders in the (re)insurance sector and publish detailed guidelines, recommendations and expectations relating to ESG matters and how these should be managed and considered by the (re)insurance sector.
Russian Sanctions. Since February 2022, the EU has imposed sanctions on the Russian Federation in response to the crisis in Ukraine. Given the evolving situation, we are closely monitoring developments and the sanctions imposed, to ensure our European entities remain in compliance with any sanctions measures imposed.
Cyber Risk. Cyber risk and information security is an area of increasing focus for the EU. The Digital Operational Resilience Act (“DORA”) entered into force in January 2023. The core aim of DORA is to prevent and mitigate cyber threats and sets uniform requirements for the security of network and information systems of financial sector entities (including (re)insurers) as well as critical third parties which provide ICT (information and communication technology)-related services, such as cloud platforms or data analytics services. In scope entities will be required to comply with the obligations set out under DORA from January 2025.
In addition to the above, EIOPA continues to publish detailed guidelines, recommendations and expectations relating to cyber matters and how these should be managed and considered by the (re)insurance sector.

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Inflation. The EU has adopted a range of measures to combat
unprecedented levels of inflation, with EIOPA issuing a supervisory statement outlining its expectations of (re)insurers on inflation-related issues in December 2022. We are monitoring ongoing developments and considering the impact of EU and EIOPA guidance on inflation on its business.
Switzerland
In December 2008, Arch Re Europe opened Arch Re Europe Swiss Branch as a branch office. As Arch Re Europe is domiciled outside of Switzerland and its activities are limited to reinsurance, the Arch Re Europe Swiss Branch in Switzerland is not required to be licensed by the Swiss insurance regulatory authorities.
In August 2014, Arch Underwriters Europe opened a branch office in Zurich (“Arch Underwriters Europe Swiss Branch”) to render reinsurance advisory services to certain group companies. Arch Underwriters Europe Swiss Branch is registered with the commercial register of the Canton of Zurich. Since its activities are limited to advisory services for reinsurance matters, the Arch Underwriters Europe Swiss Branch is not required to be licensed by the Swiss insurance regulatory authorities.
Australia
APRA is an independent statutory authority that supervisesresponsible for prudential supervision of institutions across banking, insurance and superannuation and promotes financial stability in Australia. Arch Indemnity has been authorized to conduct monoline lenders’ mortgage insurance business in Australia since June 2002 and was acquired by Arch Capital on August 30, 2021. Arch LMI, which was formerly authorized by APRA in January 2019 to conduct monoline lenders’ mortgage insurance business in Australia.Australia, relinquished its APRA authorization in December 2022 and has been converted to a services company for our Australian lenders mortgage insurance operations. Major regulatory requirements that are applicable to Arch LMIIndemnity as ana general insurance provider in Australia include requirements on minimum capital levels and compliance with corporate governance standards, including the risk management strategy for our Australian mortgage insurance business.
Our group also conducts property and casualty insurance business in Australia through Lloyd’s. This insurance business is managed by and distributed through local coverholders and is subject to Lloyd’s Supervision. In addition, the business is subject to local Australian prudential regulatory oversight by APRA, and additional separate financial services market conduct regulation by the Australian Securities and Investments Commission. Arch Indemnity has been licensed by the Australian Securities and
Investments Commission (“ASIC”) since March 2011 to engage in credit activities in Australia.
In addition, there are other Australian legislation and regulations applicable to the financial services sector that our group operates in, such as:
privacy legislation on the collection, use and storage of personal information and sensitive information of individuals and a mandatory data breach notification regime, which are overseen by the Office of the Australian Information Commissioner;
cyber security obligations imposed by APRA and ASIC and also on larger insurers in Australia under Australian security of critical infrastructure legislation;
modern slavery legislation which imposes a statutory reporting regime for larger companies operating in Australia; and
anti-money laundering and counter-terrorism financing legislation, which is administered by the Australian Transaction Reports and Analysis Centre.
Hong Kong
The Hong Kong insurance industry is regulated by theHong Kong Insurance Authority the regulatory authority established pursuant to the
Insurance Ordinance (Cap. 41)(“HKIA”), whose principal function is to regulate and supervise the insurance industry for the promotion of the general stability of the insurance industry and for the protection of existing and potential policyholders. Arch MI Asia Limited (“Arch MI Asia”) is not writing new business but is authorized to carry on general business Class 14 (Credit) and Class 16 (Miscellaneous Financial Loss), in or from Hong Kong.
Major regulatory requirements that are applicable to Arch MI Asia as a general business insurer include requirements on minimum paid-up capital, minimum solvency margin and maintenance of assets in Hong Kong.
TAX MATTERS

The following summary of the taxation of Arch Capital and the taxation of our shareholders is based upon current law and is for general information only. Legislative, judicial or administrative changes may be forthcoming that could affect this summary.
The following legal discussion (including and subject to the matters and qualifications set forth in such summary) of certain tax considerations (a) under “—Taxation of Arch Capital—Bermuda” and “—Taxation of Shareholders—Bermuda” is based upon the advice of Conyers Dill & Pearman Limited, Hamilton, Bermuda and (b) under “—Taxation of Arch Capital-United States,” “—Taxation of Shareholders-United States Taxation,” “—Taxation of Our U.S. Shareholders” and “—United States Taxation of Non-U.S.Non-

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U.S. Shareholders” is based upon the advice of Cahill Gordon & Reindel LLP, New York, New York (the advice of such firms does not include accounting matters, determinations or conclusions relating to the business or activities of Arch Capital). The summary is based upon current law and is for general information only. The tax treatment of a holder of our common or preferred shares, or of a person treated as a holder of our shares for U.S. federal income, state, local or non-U.S. tax purposes, may vary depending on the holder’s particular tax situation. Legislative, judicial or administrative changes or interpretations may be forthcoming that could be retroactive and could affect the tax consequences to us or to holders of our shares.
Taxation of Arch Capital
Bermuda. Under current Bermuda law, Arch Capital is not subject to tax on income or profits, withholding, capital gains or capital transfers. Arch Capital has obtained from the Minister of Finance under the Exempted Undertakings Tax Protection Act 1966 of Bermuda an assurance that, in the event that Bermuda enacts legislation imposing tax computed on profits, income, any capital asset, gain or appreciation, or any tax in the nature of estate duty or inheritance, the imposition of any such tax shall not be applicable to Arch Capital or to any of our operations or our shares, debentures or other obligations until March 31, 2035. WeGiven the limited duration of the Minister of Finance's assurance, we could be subject to taxes in Bermuda after


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that date. This assurance will be subject to the proviso that it is not to be construed so as to prevent the application of any tax or duty to such persons as are ordinarily resident in Bermuda (we are not so currently affected) or to prevent the application of any tax payable in accordance with the provisions of the Land Tax Act 1967 of Bermuda or otherwise payable in relation to any property leased to us or our insurance subsidiary. We pay annual Bermuda government fees, and our Bermuda insurance and reinsurance subsidiary pays annual insurance license fees. In addition, all entities employing individuals in Bermuda are required to pay a payroll tax and other sundry taxes payable, directly or indirectly, to the Bermuda government.
United States. Arch Capital and its non-U.S. subsidiaries believe they have conducted their operations and currently intend to conduct their operations going forward in a manner that has not caused them and will not cause them to be treated as engaged in a trade or business in the U.S. and, therefore, has not been and will not be required to pay U.S. federal income taxes (other than U.S. excise taxes on insurance and reinsurance premiumpremiums and withholding taxes on dividends and certain other U.S. source investment income). However, because definitive identification of activities which constitute being engaged in a trade or business in the U.S. is not provided by the Internal Revenue Code of 1986, as amended (the
(the “Code”), orU.S. Treasury regulations (“Treasury Regulations”) or court decisions, there can be no assurance that the U.S. Internal Revenue Service (“IRS”) will not contend successfully that Arch Capital or its non-U.S. subsidiaries are or have beenour position on being engaged in a trade or business in the U.S. is correct. A foreign corporation deemed to be so engaged would be subject to U.S. federal income tax, as well as the branch profits tax, on its income, which is treated as effectively connected with the conduct of that trade or business unless the corporation is entitled to relief under the permanent establishment provisions of a tax treaty. Such income tax, if imposed, would be based on effectively connected income computed in a manner generally analogous to that applied to the income of a domestic corporation, except that deductions and credits generally are not permitted unless the foreign corporation has timely filed a U.S. federal income tax return in accordance with applicable regulations.Treasury Regulations. Penalties may be assessed for failure to file tax returns. TheIn addition, in such case, a 30% branch profits tax iswould be imposed on net income after subtracting the regular corporate tax and making certain other adjustments.
Under the income tax treaty between Bermuda and the U.S. (the “Treaty”), Arch Capital's Bermuda insurance subsidiaries will be subject to U.S. income tax on any insurance premium income found to bethat is effectively connected with a U.S. trade or business only if that trade or business is conducted through a permanent establishment in the U.S. No regulationsTreasury Regulations interpreting the Treaty have been issued. While there can be no assurances, Arch Capital does not believe that any of its Bermuda insurance subsidiaries has a permanent establishment in the U.S. Such subsidiaries would not be entitled to the benefits of the Treaty if (i) 50% or less of Arch Capital's shares were beneficially owned, directly or indirectly, by Bermuda residents or U.S. citizens or residents, or (ii) any such subsidiary's income were used in substantial part to make disproportionate distributions
to, or to meet certain liabilities to, persons who are not Bermuda residents or U.S. citizens or residents. While there can be no assurances, Arch Capital believes that its Bermuda insurance subsidiaries arehave been eligible for Treaty benefits to date, there can be no assurance that this is the case or that the Bermuda insurance subsidiaries will continue to be eligible for Treaty benefits.
The Treaty clearly applies to premium income but may be construed as not protecting investment income. If Arch Capital’s Bermuda insurance subsidiaries were considered to be engaged in a U.S. trade or business and were entitled to the benefits of the Treaty in general, but the Treaty were not found to protect investment income, a portion of such subsidiaries’ investment income could be subject to U.S. federal income tax.
Non-U.S. insurance companies carrying on an insurance business within the U.S. have a certain minimum amount of effectively connected net investment income, determined in accordance with a formula that depends, in part, on the amount of U.S. risk insured or reinsured by such companies.

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If any of Arch Capital's non-U.S. insurance subsidiaries is considered to be engaged in the conduct of an insurance business in the U.S., a significant portion of such company'ssubsidiary’s investment income could be subject to U.S. federal income tax.
Non-U.S. corporations not engaged in a trade or business in the U.S. are nonetheless subject to U.S. income tax on certain “fixed or determinable annual or periodic gains, profits and income” derived from sources within the U.S. as enumerated in Section 881(a) of the Code (such as dividends and certain interest on investments), subject to exemption under the Code or reduction by an applicable treaties.treaty.
The U.S. also imposes an excise tax on insurance and reinsurance premiums paid to non-U.S. insurers or reinsurers with respect to risks located in the U.S. The rates of tax, unless reduced by an applicable U.S. tax treaty, are 4% for non-life insurance premiums and 1% for life insurance and all reinsurance premiums.
The Tax Cuts and Jobs Act of 2017 (the “Tax Cuts Act”) was signed into law by the President of the United States in 2017. For taxable years beginning after 2017, the Tax Cuts Act imposes a 10% minimum base erosion and anti-abuse tax (increased to 12.5% for the 2026 taxable year and the subsequent taxable years)years after 2025) on the “modified taxable income” of a U.S. corporation (or a non-U.S. corporation engaged in a U.S. trade or business) over such corporation’s regular U.S. federal income tax, reduced by certain tax credits. The “modified taxable income” of a corporation is determined without deduction for certain payments by such corporation to its non-U.S. affiliates (including reinsurance premiums). Final regulationsTreasury Regulations interpreting the base erosion and anti-abuse tax were issued in December 2019.
United Kingdom. Our U.K. subsidiaries are companies that are incorporated and have their central management and control in the U.K., and are therefore resident in the U.K. for corporation


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tax purposes. As a result, they will be subject to U.K. corporation tax on their respective profits. The U.K. branches of Arch Re Europe and Arch Insurance (EU) will be subject to U.K. corporation tax on the profits (both income profits and chargeable gains) attributable to each branch. The rate of U.K. corporation tax for the financial year is 19% on profits.profits (increasing to 25% with effect from April 1, 2023).
Canada. Arch Insurance Canada, a Canadian federal insurance company, commenced underwriting in 2013. Arch Re U.S., through a branch, commenced underwriting reinsurance in Canada in January 2015. Arch Insurance Canada is taxed on its worldwide income. Arch Re U.S. is taxed on its net business income earned in Canada. The general federal corporate income tax rate in Canada is currently 15%. Provincial and territorial corporate income tax rates are added to the general federal corporate income tax rate and generally vary between 10%8% and 16%.
Ireland. Each of Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe is incorporated and resident in Ireland for corporation tax purposes and will be subject to Irish corporate tax on its worldwide profits, including the profits of the branches of Arch Re Europe, Arch Insurance (EU) and Arch Underwriters Europe. Any creditable foreign branch corporate tax payable will be creditable against Arch Re Europe’s Irish corporate tax liability on the results of Arch Re Europe’s branches with the same principle applied to Arch Insurance (EU)’s branches and Arch Underwriters Europe’s branches. The current rate of Irish corporation tax applicable to such trading profits is 12.5%.
Switzerland. Arch Re Europe Swiss Branch and Arch Underwriters Europe Swiss Branch are subject to Swiss corporation tax on the profit which is allocated to theeach branch. The effective tax rate is approximately 21.15%19.65% for Swiss federal, cantonal and communal corporation taxes on the profit. The effective tax rate of the annual cantonal and communal capital taxes on the equity which is allocated to Arch Re Europe Swiss Branch and Arch Underwriters Europe Swiss Branch is approximately 0.17%.
Denmark. Arch Re Denmark, established as a subsidiary of Arch Re Bermuda, is subject to Danish corporation taxes on its profits at a rate of 22% for 2016 and onwards..
Hong Kong. Arch MI Asia is subject to Hong Kong corporate tax on its assessable profits at a rate of 16.5%. Assessable profits are the net profits for the basis period, arising in or derived from Hong Kong.
Australia. Arch LMI anand Arch Indemnity, Australian incorporated and tax resident company, iscompanies, are subject to Australian corporate tax on its worldwide profits. The current rate of Australian corporation tax applicable to such profits is 30%.

Taxation of Shareholders
Bermuda. Currently, there is no Bermuda withholding tax on dividends paid by us.
United States—General. The following summary sets forth certain U.S. federal income tax considerations related to the purchase, ownership and disposition of our common shares and our non-cumulative preferred shares (“preferred shares”). Unless otherwise stated, this summary deals only with shareholders (“U.S. holders”) that are U.S. Persons (as defined below) who hold theirand to common shares and preferred shares beneficially owned by such holder and held as capital assets and as beneficial owners.assets. The following discussion is only a general summary of the U.S. federal income tax matters described herein and does not purport to address all of the U.S. federal income tax consequences that may be relevant to a particular shareholder in light of such shareholder’s specific circumstances. In

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addition, the following summary does not describe the U.S. federal income tax consequences that may be relevant to certain types of shareholders, such as banks, insurance companies, regulated investment companies, real estate investment trusts, financial asset securitization investment trusts, dealers in securities or traders that adopt a mark-to-market method of tax accounting, tax exempt entities, expatriates, U.S. holders that hold our common shares or preferred shares through a non-U.S. broker or other non-U.S. intermediary, persons who hold the common shares or preferred shares as part of a hedging or conversion transaction or as part of a straddle, who may be subject to special rules or treatment under the Code or persons required for U.S. federal income tax purposed to recognize income no later than such income is reported on such persons’ applicable financial statements. This discussion is based upon the Code, the Treasury regulationsRegulations promulgated there under and any relevant administrative rulings or pronouncements or judicial decisions, all as in effect on the date of this annual report and as currently interpreted and does not take into account possible changes in such tax laws or interpretations thereof, which may apply retroactively. This discussion does not include any description of the tax laws of any state or local governments within the U.S., or of any foreign government, that may be applicable to our common shares or preferred shares or the shareholders. Persons holding or considering making an investment in the common shares or preferred shares should consult their own tax advisors concerning the application of the U.S. federal tax laws to their particular situations as well as any tax consequences arising under the laws of any state, local or foreign taxing jurisdiction prior to making such investment.
If an entity that is treated as a partnership holds our common shares or preferred shares, the tax treatment of a partner will generally depend upon the status of the partner and the activities of the partnership. If you are a partner of a partnership holding or considering an investment in our common shares or preferred shares or a partner therein, you should consult your tax advisor.


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For purposes of this discussion, the term “U.S. Person” means:means a person that is, for U.S. federal income tax purposes:
an individual who is a citizen or resident of the U.S.;
a corporation or entity treated as a corporation created or organized under the laws of the U.S., any state thereof or the District of Columbia;
an estate, the income of which is subject to U.S. federal income taxation regardless of its source; or
a trust, if either (i) a court within the U.S. is able to exercise primary supervision over the administration of such trust and one or more U.S. persons have the authority to control all substantial decisions of such trust or (ii) the trust has a valid election in effect to be treated as a U.S. person for U.S. federal income tax purposes; orpurposes.
any other person or entity that is treated for U.S. federal income tax purposes as if it were one of the foregoing.
United States—Taxation of Dividends. The preferred shares should be properly classified as equity rather than debt for U.S. federal income tax purposes. Subject to the discussions below relating to the potential application of the controlled foreign corporation (“CFC”), “related person insurance income” (“RPII”) and passive foreign investment companiescompany (“PFIC”) rules, as defined below, cash distributions, if any, made with respect to our common shares or preferred shares will constitute dividends for U.S. federal income tax purposes to the extent paid out of our current or accumulated earnings and profits (as computed using U.S. tax principles). If a U.S. holder of our common shares or our preferred shares is an individual or other non-corporate holder, dividends paid, if any, to that holder that constitute qualified dividend income generally will be taxable at the rate applicable for long-term capital gains (generally up to 20%), provided that such person meets a holding period requirement. Generally, in order to meet the holding period requirement, the U.S. Personholder must hold the common shares for more than 60 days during the 121-day period beginning 60 days before the ex-dividend date and must hold preferred shares for more than 90 days during the 181-day period beginning 90 days before the ex-dividend date. Dividends paid, if any, with respect to common shares or preferred shares generally will be qualified dividend income, provided the common shares or preferred shares are readily tradable on an established securities market in the U.S. in the year in which the shareholder receives the dividend (which should be the case for shares that are listed on the NASDAQ Stock Market or the New York Stock Exchange) and Arch Capital is not considered to be a passive foreign investment company in either the year of the distribution or the preceding taxable year. No assurance can be given that the preferred shares will be considered readily tradable on an established securities market in the U.S. See “—Taxation of Our U.S. Shareholders” below.
A U.S. holder that is an individual, estate or a trust that does not fall into a special class of trusts that is exempt from such tax, will be subject to a 3.8% tax on the lesser of (1) the U.S.
holder’s “net investment income” for the relevant taxable year and (2) the excess of the U.S. holder’s modified adjusted gross income for the taxable year over a certain threshold (which in the case of individual will be between $125,000 and $250,000, depending on the individual’s circumstances). A U.S. holder’s net investment income generally will generally include its dividend income and its net gains from the disposition of our common shares and preferred shares, unless such dividend income or net gains are derived in the ordinary course of the conduct of a trade or business (other than a trade or business that consists of certain passive or trading activities).
Distributions with respect to the common shares and the preferred shares will not be eligible for the dividends received deduction allowed to U.S. corporations under the Code. To the extent distributions on our common shares and

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preferred shares exceed our earnings and profits, they will be treated first as a return of the U.S. holder's basis in our common shares and our preferred shares to the extent thereof, and then as gain from the sale of a capital asset.
United States—Sale, Exchange or Other Disposition. Subject to the discussions below relating to the potential application of the CFC, RPII and PFIC rules, U.S holders of common shares and preferred shares generally will recognize capital gain or loss, if any, for U.S. federal income tax purposes on the sale, exchange or other taxable disposition of common shares or preferred shares, as applicable.
United States—Redemption of Preferred Shares. A redemption of the preferred shares will be treated under sectionSection 302 of the Code as a dividend ifto the extent we have sufficient earnings and profits allocable to such shares, unless the redemption satisfies one of the tests set forth in sectionSection 302(b) of the Code enabling the redemption to be treated as a sale or exchange, subject to the discussion herein relating to the potential application of the CFC, RPII and PFIC rules. Under the relevant Code sectionSection 302(b) tests, the redemption should be treated as a sale or exchange only if it (1) is substantially disproportionate, (2) constitutes a complete termination of the holder's stock interest in us or (3) is “not essentially equivalent to a dividend.” In determining whether any of these tests are met, shares considered to be owned by the holder by reason of certain constructive ownership rules set forth in the Code, as well as shares actually owned, must generally be taken into account. It may be more difficult for a U.S. Personholder who owns, actually or constructively by operation of the attribution rules, any of our other shares to satisfy any of the above requirements. The determination as to whether any of the alternative tests of sectionSection 302(b) of the Code is satisfied with respect to a particular holder of the preferencepreferred shares depends on the facts and circumstances as of the time the determination is made.
Taxation of Our U.S. Shareholders
Controlled Foreign Corporation Rules. We or any of our non-U.S. subsidiaries generally will be treated as a CFC with respect to any


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taxable year if at any time during such taxable year, one or more “10% U.S. Shareholders” (as defined below) collectively own more than 50% of us or such non-U.S. subsidiary (as applicable) by vote or value (taking into account shares actually owned by such U.S. holder as well as shares attributed to such U.S. holder under the Code or the regulationsTreasury Regulations thereunder). Moreover, with respect to insurance income (including reinsurance income), the “more than 50%” requirement described in the preceding sentence is replaced with a more expansive “more than 25%” requirement. For taxable years beginning on or before December 31, 2017, a 10% U.S. Shareholder means any shareholderU.S. Person who was considered to own, actually or constructively, 10% or more of the total combined voting
power of our shares or those of our non-U.S. subsidiaries (as applicable). Under the Tax Cuts Act, for taxable years beginning after December 31, 2017, a 10% U.S. Shareholder also includes any shareholderU.S. Person who is considered to own, actually or constructively, 10% or more of the value of our shares or those of our non-U.S. subsidiaries (as applicable). As a result, for taxable years beginning after December 31, 2017, the voting cut-back limitation contained in our bye-laws that limits the votes conferred by the Controlled Shares (as defined in our bye-laws) of any U.S. Person to 9.9% of the total voting power of all our shares entitled to vote will not prevent any U.S. holder from being treated as a 10% U.S. Shareholder. Due to the repeal of sectionSection 958(b)(4) of the Code under the Tax Cuts Act, all non-U.S. subsidiaries directly or indirectly owned by Arch Capital are treated as constructively owned by its USU.S. subsidiaries, and therefore are treated as CFCs.
Status as a CFC would not cause us or any of our non-U.S. subsidiaries to be subject to U.S. federal income tax. Such status also would have no adverse U.S. federal income tax consequences for any U.S. holder that is not a 10% U.S. Shareholder with respect to us or any of such non-U.S. subsidiariessubsidiary (as applicable). If we or any of our non-U.S. subsidiaries are or were a CFC with respect to any taxable year, a U.S. holder that is considered a 10% U.S. Shareholder would be subject to current U.S. federal income taxation (at ordinary income tax rates) to the extent of all or a portion of the undistributed earnings and profits of Arch Capital and our subsidiaries attributable to “subpart F income” (including certain insurance premium income and investment income) or global intangible low-taxed income and may be taxable at ordinary income tax rates on any gain recognized on a sale or other disposition (including by way of repurchase or liquidation) of our common shares or preferred shares to the extent of the current and accumulated earnings and profits attributable to such common shares or preferred shares. For taxable years beginning after December 31, 2017, a helpful limitation, which provides that a U.S. shareholder would not be subject to the current inclusion rules of Subpart F for a taxable year unless the non-U.S. corporation was a CFC for an uninterrupted period of 30 days or more during such taxable year, will no longer apply.
Related Person Insurance Income Rules. In general, with respect to RPII (a limited category of insurance income, as defined below), the CFC rules are expanded in two significant respects.First, in determining CFC status, as well as determining which U.S. shareholders are subject to current taxation with respect to a CFC’s RPII (whether or not currently distributed), all U.S. shareholders (as opposed to only 10% U.S. Shareholders) are taken into account.Second, the amount of stock in a foreign corporation that all U.S. shareholders, in the aggregate, must own for such corporation to be treated as a CFC is reduced from more than 50% (by

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vote or value), and more than 25% (by vote or value) with respect to insurance income generally, to 25% or more (by vote or value). Generally, we doRPII is insurance income (including reinsurance income) of a foreign corporation with respect to which the insured is a United States shareholder of the foreign corporation or a related person to such a shareholder.
Under one exception to the foregoing RPII rules, U.S. shareholders are not expectrequired to include a CFC’s RPII currently in income if the CFC’s gross RPII of any of our non-U.S. subsidiaries to equal or exceedis less than 20% of its total gross insurance income in anyfor the taxable year for the foreseeable futurein question (the “RPII 20% gross income exception”). Consequently,
Under current law, we currently expect each of our non-U.S. subsidiaries to satisfy the RPII 20% gross income exception, and therefore we currently do not expect any U.S.
person owning common shares or preferred shares shareholder to be required to include RPII in gross income for U.S. federal income tax purposes RPII income, but(although there can be no assurance that this is or will continue be the case.case). However, proposed Treasury Regulations issued on January 24, 2022, if finalized in their current form, would for the first time (on a prospective basis) expand the definition of RPII to include certain intercompany insurance income (including reinsurance income) in a manner that could cause certain of our foreign subsidiaries not to satisfy the RPII 20% gross income exception.In such event, (1) as noted above, all U.S. shareholders (not just 10% U.S. Shareholders) would be required to include RPII in income currently, whether or not distributed, and (2) as noted below, U.S. shareholders that are tax exempt entities would be required to treat such RPII inclusions as unrelated business taxable income.Current and prospective U.S. holders should consult their own tax advisors as to the potential impact of these proposed Treasury Regulations.
Section 953(c)(7) of the Code generally provides that Section 1248 of the Code (which generally would require a U.S. holder to treat certain gains attributable to the sale, exchange or disposition of common shares or preferred shares as a dividend) will apply to the sale or exchange by a U.S. shareholder of shares in a foreign corporation that is characterized as a CFC under the RPII rules if the foreign corporation would be taxed as an insurance company if it were a domesticU.S. corporation, regardless of whether the U.S. shareholder is a 10% U.S. Shareholder or whether the corporation qualifies for the RPII 20% gross income exception. Although existing U.S. Treasury Department (“Treasury”) regulationsRegulations do not address the question, proposed Treasury regulationsRegulations issued in April 1991 create some ambiguity as to whether Section 1248 and the requirement to file Form 5471 would apply when the foreignnon-U.S. corporation has a foreign insurance subsidiary that is a CFC for RPII purposes and that would be taxed as an insurance company if it were a domestic corporation. We believe that Section 1248 and the requirement to file Form 5471 will not apply to a less than
10% U.S. Shareholder because Arch Capital is not directly engaged in the insurance business. There can be no assurance, however, that the IRS will interpret the proposed regulationsTreasury Regulations in this manner or that the Treasury will not take the position that Section 1248 and the requirement to file Form 5471 will apply to dispositions of our common shares or our preferred shares.
If the IRS or U.S. Treasury were to make Section 1248 of the Code and the Form 5471 filing requirement applicable to the sale of our shares, we would notify shareholders that Section 1248 of the Code and the requirement to file Form 5471 will apply to dispositions of our shares. Thereafter, we would send a notice after the end of each calendar year to all persons who were shareholders during the year notifying them that Section 1248 of the Code and the requirement to file Form 5471 apply to dispositions of our shares by U.S. holders. We would attach to this notice a copy of Form 5471 completed with all our information and instructions for completing the shareholder information.
Tax-Exempt Shareholders. Tax-exempt entities may be required to treat certain Subpart F insurance income, including RPII, that is includible in income by the tax-exempt entity as unrelated business taxable income. Prospective investorsCurrent and prospective U.S. holders that are tax exempt entities are urged toshould consult their own tax advisors as to the potential impact of the unrelated business taxable income provisions of the Code.
Passive Foreign Investment Companies. Sections 1291 through 1298 of the Code contain special rules applicable with respect to foreign corporations that are PFICs. In general, a foreign corporation will be a PFIC if 75% or more of its income constitutes “passive income” or 50% or more of its assets


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produce passive income. If we were to be characterized as a PFIC, U.S. holders would be subject to a penalty tax at the time of their sale of (or receipt of an “excess distribution” with respect to) their common shares or preferred shares.shares imposed at the highest applicable rate under the Code for the applicable tax year. In general, a shareholder receives an “excess distribution” if the amount of the distribution is more than 125% of the average distribution with respect to the shares during the three preceding taxable years (or shorter period during which the taxpayer held the stock). In general, the penalty tax is equivalent to an interest charge on taxes that are deemed due during the period the shareholder owned the shares, computed by assuming that the excess distribution or gain (in the case of a sale) with respect to the shares was taxable in equal portions throughout the holder’s period of ownership. The interest charge is equal to the applicable rate imposed on underpayments of U.S. federal income tax for such period. A U.S. shareholder may avoid some of the adverse tax consequences of owning shares in a PFIC by making a qualified electing fund (“QEF”) election. A QEF election is revocable only with the consent of the IRS and has the following consequences to a shareholder:

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For any year in which Arch Capital is not a PFIC, no income tax consequences would result.
For any year in which Arch Capital is a PFIC, the shareholder would include in its taxable income a proportionate share of the net ordinary income and net capital gains of Arch Capital and certain of its non-U.S. subsidiaries.
For taxable years beginning on or before December 31, 2017, the determination of whether the active insurance company exception applies to an insurance company was made on a case-by-case basis and the analysis was inherently subjective. Under the Tax Cuts Act, for taxable years beginning after December 31, 2017, the active insurance company exception applies only if (i) the company would be taxed as an insurance company were it a U.S. corporation and (ii) either (A) loss and loss adjustment expense and certain reserves constitute more than 25% of the company’s gross assets for the relevant year or (B) loss and loss adjustment expenses and certain reserves constitute more than 10% of the company’s gross assets for the relevant year and, based on the applicable facts and circumstances, the company is predominantly engaged in an insurance business and the failure of the company to satisfy the preceding 25% test is due solely to run-off related or other specified circumstances involving the insurance business. The PFIC statutory provisions contain a look-through rule that states that, for purposes of determining whether a foreign corporation is a PFIC, such foreign corporation shall be treated as if it “received directly its proportionate share of the income” and as if it “held its proportionate share of the assets” of any other corporation in which it owns at least 25% of the stock. We believe that we were not a PFIC for any taxable year beginningended on or before December 31, 20172022 and we currently are not expecting to become a PFIC for any subsequent taxable year beginning after December 31, 2017year. However, due to the complexity and uncertainty of the PFIC rules and the limited guidance interpreting them, there can be no assurance that we have not been a PFIC to date or that we will use reasonable best efforts to cause us and
not become a PFIC at some time in the future.
each of our majority owned non-U.S. insurance subsidiaries not to constitute a PFIC.
In July 2019,On December 4, 2020, the IRS issued certain final Treasury Regulations (the “2020 final PFIC insurance regulations”) and revised proposed Treasury Regulations (the “2020 proposed PFIC insurance regulations”) regarding the application of the insurance company exception. While we believe that the 2020 final PFIC insurance regulations in an attemptand the 2020 proposed PFIC insurance regulations should not adversely impact the our ability to definesatisfy the foreign insurance company exception and avoid being treated as a PFIC, there can be no assurance that such exception will in fact apply and/or will continue to the PFIC rules (the “proposed PFIC insurance regulations”). No regulations interpreting the substantive PFIC provisions have yet been finalized. It is possible that the regulations interpreting the PFIC provisions will be issuedapply at all times in the future and contain rules different from those in the proposed PFIC insurance regulations.future. Each U.S. holder should consult its own tax advisor as to the effects of these rules.
United States Taxation of Non-U.S. Shareholders
Taxation of Dividends. Cash distributions, if any, made with respect to common shares or preferred shares held by shareholders who area holder that is, for U.S. federal income tax purposes, an individual, corporation, estate or trust that is not a U.S. Persons (“Non-U.S. holders”holder (a “Non-U.S. holder”) generally will not be subject to U.S. withholding tax.
Sale, Exchange or Other Disposition. Non-U.S. holders of common shares or preferred shares generally will not be subject to U.S. federal income tax with respect to gain realizedrecognized upon the sale, exchange or other disposition of such shares unless such gain is effectively connected with a U.S. trade or business of the Non-U.S. holder in the U.S. or such person is present in the U.S. for 183 days or more in the taxable year the gain is realizedrecognized and certain other requirements are satisfied.
Information Reporting and Backup Withholding. Non-U.S. holders of common shares or preferred shares will not be subject to U.S. information reporting or backup withholding with respect to dispositions of common shares effected through a non-U.S. office of a broker, unless the broker has certain connections to the U.S. or is a U.S. person. No U.S. backup withholding will apply to payments of dividends, if any, on our common shares or our preferred shares.
FATCA Withholding. Sections 1471 through 1474 to the Code, known as the Foreign Account Tax Compliance Act (“FATCA”), impose a withholding tax of 30% on U.S.-source interest, dividends and certain other types of income, which is received by a foreign financial institution (“FFI”), unless such FFI enters into an agreement with the IRS to obtain certain information as to the identity of the direct and indirect owners of accounts in such institution. In addition, a 30% withholding tax may be imposed on the above payments to certain non-financial foreign entities which do not (i) certify to each respectiveapplicable withholding agent that they have no “substantial U.S. owners” (i.e., a U.S. 10% direct or indirect shareholder), or (ii) provide such withholding agent with the certain information as to the identity of such substantial U.S. owners. The U.S. has entered into intergovernmental agreements to implement FATCA (“IGAs”) with a number of jurisdictions. Bermuda has signed an IGA with the U.S. Different rules than those described above may apply under such an IGA.


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Although dividends with respect to our common shares or preferred shares generally will generally be treated as foreign source for U.S. federal withholding tax purposes, it is unclear whether, for FATCA purposes, some or all of our dividends may be recharacterized as U.S. source dividends. Treasury regulationsRegulations addressing this topic have not yet been issued.
Prospective

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Current and prospective investors are urged toshould consult their own tax advisors as to the filing and information requirements that may be imposed on them in respect of their ownership of our common share or preferred shares.
Other Tax Laws. Shareholders should consult their own tax advisors with respect to the applicability to them of the tax laws of other jurisdictions.


ITEM 1A. RISK FACTORS
Set forth below are risk factors relating to our business. These risks and uncertainties are not the only ones we face. There may be additional risks that we currently consider not to be material or of which we are not currently aware, and any of these risks could cause our actual results to differ materially from historical or anticipated results. You should carefully consider these risks along with the other information provided in this report, including our “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and our accompanying consolidated financial statements, as well as the information under the heading “Cautionary Note Regarding Forward-Looking Statements” before investing in any of our securities. We may amend, supplement or add to the risk factors described below from time to time in future reports filed with the SEC.
RISK FACTORS SUMMARY
The following is a summary description of the material risks and uncertainties to which we may be exposed. Each of these risks could adversely affect our business, financial condition and results of operations, and any such effects may be material. These and other risks are more fully described after this summary description.
Risks Relating to Our Industry, Business and Operations
We operate in a highly competitive environment, and we may not be able to compete successfully in our industry.environment.
The insurance and reinsurance industry is highly competitive. We compete on an international and regional basis with major U.S. and non-U.S. insurers and reinsurers, many of which have greater financial, marketing and management resources than we do. See “Competition” in Item 1 for details on our competitors in each of the major segments we operate in. There has been significant consolidation in the insurance and reinsurance sector in recent years and we may experience increased competition as a result of that consolidation, with consolidated entities having enhanced market power. These consolidated entities may use their enhanced market power and broader capital base to negotiate price reductions for products and services that compete with ours, and we may experience rate declines and possibly write less business. Any failure by us to effectively compete could adversely affect our financial condition and results of operations.
The insurance and reinsurance industry is highly cyclical, and we expect to continue tomay at times experience periods characterized by excess underwriting capacity and unfavorable premium rates.
Historically, insurersThe effects of inflation and reinsurers have experienced significant fluctuations in operating results due to competition, frequency of occurrence or severity of catastrophic events, levels of capacity, general economicglobal recessionary conditions changes in equity, debt and other investment markets, changes in legislation, case law and prevailing concepts of liability and other factors. In particular, demand for reinsurance is influenced significantly by the underwriting results of primary insurers and prevailing general economic conditions. The supply of insurance and reinsurance is related to prevailing prices and levels of surplus capacity that, in turn, may fluctuate in response to changes in rates of return being realized inimpact the insurance and reinsurance industry on both underwritingin ways which may negatively impact our business, financial condition and investment sides. As a result, the insuranceresults of operations.
Claims for natural and reinsurance business historically has been a cyclical industry characterized by periods of intense price competition due to excessive underwriting capacity as well as periods when shortages of capacity permitted favorable premium levels and changes in terms and conditions. The supply of insurance and reinsurance has increased over the past several years and may increase further, either as a result of capital provided by new entrants or by the commitment of additional capital by existing insurers or reinsurers. Continued increases in the supply of insurance and reinsurance may have consequences for us, including fewer contracts written, lower premium rates, increased expenses for customer acquisition and retention, and less favorable policy terms and conditions.


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Claims forman-made catastrophic events could cause large losses and substantial volatility in our results of operations and could have a material adverse effect on our financial position and results of operations.
We have large aggregate exposures to natural and man-made catastrophic events. Catastrophes can be caused by various events, including hurricanes, floods, tsunamis, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters.
The frequency and severity of natural catastrophe activity, including hurricanes, tsunamis, tornadoes, floods and droughts, has also been greater in recent years. Catastrophes can also cause losses in non-property business such as workers’ compensation or general liability. In addition to the natureimpacts of the property business, we believe that economicCOVID-19 pandemic, the shift to a COVID-19 endemic approach and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration tend to generally increase the size of losses from catastrophic events over time. Actual losses from future catastrophic events may varyrelated risks could materially from estimates due to the inherent uncertainties in making such determinations resulting from several factors, including the potential inaccuracies and inadequacies in the data provided by clients, brokers and ceding companies, the modeling techniques and the application of such techniques, the contingent nature of business interruption exposures, the effects of any resultant demand surge on claims activity and attendant coverage issues.
In addition, over the past several years, changing weather patterns and climatic conditions, such as global warming, have added to the unpredictability and frequency of natural disasters in certain parts of the world and created additional uncertainty as to future trends and exposures. Although the loss experience of catastrophe insurers and reinsurers has historically been characterized as low frequency, there is a growing consensus today that climate change increases the frequency and severity of extreme weather events and, in recent years, the frequency of major catastrophes appears to have increased, and may continue to increase in the future.
Claims for catastrophic events, or an unusual frequency of smaller losses in a particular period, could expose us to large losses, cause substantial volatility inaffect our results of operations, financial position and/or liquidity.
The impact of climate change will affect our loss limitation methods, such as the purchase of third party reinsurance and catastrophe risk modeling and risk selection in ways which may adversely impact our business, financial condition and results of operations.
Our insurance and reinsurance subsidiaries are subject to supervision and regulation. Changes to existing regulation and supervisory standards, or failure to comply with applicable requirements, could have a material adverse effectadversely affect our business and results of operations.
We are subject to ongoing legal and policy actions around climate change which may result in implications or additional requirements that could prompt us to shift our risk selection and business strategy in ways which may adversely impact our results of operations.
The Russian invasion of Ukraine has created global instability and also resulted in the imposition of sanctions by the U.S., U.K. and EU on Russia and Russia-related businesses.
Our customers and policyholders may also be impacted by regulatory, technological, market or other risks relating to climate change in ways which we cannot predict with certainty and adversely impact our results of operations.
As we continue to incorporate climate change in our business strategy, we cannot be certain that shareholders, investors and other influential environmental groups will agree with our approach, which may adversely impact our ability to write new business if we are not able to adequately assess and reserve for the increased frequency and severity of catastrophes resulting from these environmental factors. Additionally, catastrophic events could result in increased credit exposure to reinsurers and other counterparties we transact business with, declinesraise funds in the valuecapital markets, our share price and our results of investments we holdoperations.
Governmental, regulatory and significant disruptionsrating actions in response to our physical infrastructure, systems and operations.
Additionally, we cannot predict how legal, regulatory and/or social responses to concerns around global climate change may impact our business. We attempt to manage our exposure to such events through the use of underwriting controls, risk models, and the purchase of third-party reinsurance. Underwriting controls can include more restrictive underwriting criteria such as higher premiums and deductibles, or losses retained, and more specifically excluded policy risks. Our deductible in connection with a catastrophic event is determined by market capacity, pricing conditions and surplus preservation. There can be no assurance that our reinsurance coverage and other measures taken will be sufficient to mitigate losses resulting from one or more catastrophic events. As a result, the occurrence of one or more catastrophic eventsCOVID-19 pandemic have impacted us, and the continuation and worseningor reinstatement of recent trends could have an adverse effect onsuch actions may adversely affect our results of operations and financial condition.performance.

Environmental, Social and Governance (ESG) and sustainability have become major topics that encompass a wide range of issues, such as climate change and other environmental risks. It is something that has come to the fore at a European level. For example, the European Commission has published non-binding guidelines on non-financial reporting (to include climate-change related information). It may well be that mandatory, rather than voluntary, disclosure requirements will be introduced in due course which could have an impact on the operation model of Arch Capital.

We could face unanticipated losses from war, terrorism, cyber-attacks,cyber attacks, pandemics and political instability, and these or other unanticipated losses could have a material adverse effect on our financial condition and results of operations.
We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. In certain instances, we specifically insure and reinsure risks resulting from acts of terrorism. We may also insure against risk related to cybersecurity and cyber-attacks. In addition, our exposure to cyber-attacks includes exposure to ‘silent cyber’ risks, meaning risks and potential losses associated with policies where cyber risk is not specifically included nor excluded in the policies. Even in cases where we attempt to exclude losses from terrorism, cybersecurity and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will not limit enforceability of policy language or otherwise issue a ruling adverse to us. Accordingly, while we believe our reinsurance programs, together with the coverage provided under the Terrorism Risk Insurance Act of


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2002, as amended are sufficient to reasonably limit our net losses relating to potential future terrorist attacks, we can offer no assurance that our available capital will be adequate to cover losses when they materialize. To the extent that an act of terrorism is certified by the Secretary of the Treasury and aggregate industry insured losses resulting from the act of terrorism exceeds the prescribed program trigger, our U.S. insurance operations may be covered under TRIP for up to 80% subject to a mandatory deductible of 20% of our prior year’s direct earned premium for covered property and liability coverages. The program trigger for calendar year 2020 is $200 million. If an act (or acts) of terrorism result in covered losses exceeding the $100 billion annual limit, insurers with losses exceeding their deductibles will not be responsible for additional losses. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events, and to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected.

Our operations are also exposed to the risk of catastrophic mortality, such as a pandemic or other event that causes a large number of deaths. For example, on January 30, 2020, the World Health Organization declared that the recent coronavirus disease 2019 (“COVID-19”) outbreak which emanated from China was a global health emergency. This has resulted in increased travel restrictions and extended shutdown of certain businesses not just in China but in other parts of Asia as well. With a recent rise in the number of cases of the coronovirus outside of China, travel restrictions and other disruption to businesses globally have also increased. While the effects of the coronavirus will be difficult to assess or predict, an outbreak could have a significant impact on our business. A significant pandemic could have a major impact on the global economy or the economies of particular countries or regions, including travel, trade, tourism, the health system, food supply, consumption, overall economic output, as well as on the financial markets. In addition, a pandemic that affected our employees or the employees of our distributors or of other companies with which we do business could disrupt our business operations. The effectiveness of external parties, including governmental and non-governmental organizations, in combating the spread and severity of such a pandemic could have a material impact on the losses we experience. These events could cause a material adverse effect on our results of operations in any period and, depending on their severity, could also materially and adversely affect our financial condition.

Political, regulatory, legislative and industry initiatives could adversely affect our business.
Governmental authorities in the U.S. and worldwide have become increasingly interested in potential risks posed by the insurance industry as a whole, and to commercial and financial systems in general and there may be increased regulatory intervention in our industry in the future. For example, in the
U.S., the federal government (including federal consumer protection authorities) has increased its scrutiny of the insurance regulatory framework in recent years, and various state legislators are considering or have enacted laws that will alter and likely increase state regulation of insurance and reinsurance companies and holding companies. The U.S. mortgage insurance industry has also been subject to increased federal and state regulatory scrutiny (including by state insurance regulatory authorities), which could generate new regulations, regulatory actions or investigations.
In the EU, Solvency II imposed economic risk-based solvency requirements across all EU Member States covering quantitative capital requirements, qualitative regulatory reviews and market discipline. In addition, Solvency II imposes significant requirements for our EU-based regulated companies which require substantial documentation and implementation effort. Following the U.K.’s departure from the EU, it is uncertain whether the U.K. will maintain equivalence with Solvency II beyond the end of the Transition Period.
The BMA has also implemented and imposed additional requirements on the commercial insurance companies it regulates, driven, in large part, by Solvency II. The European Commission has adopted a decision concluding that Bermuda meets the full equivalence criteria under Solvency II.
While we cannot predict the exact nature, timing or scope of any possible governmental initiatives, such proposals could adversely affect our business by, among other things: providing reinsurance capacity in markets and to consumers that we target; requiring our further participation in industry pools and guaranty associations; expanding the scope of coverage under existing policies (e.g., following large disasters); further regulating the terms of insurance or reinsurance contracts; or disproportionately benefiting the companies of one country over those of another.
In addition, increased scrutiny by insurance regulators of investments in or acquisitions of insurers or insurance holding companies by private equity firms or hedge funds may result in imposition of additional regulatory requirements and restrictions. We have in the past partnered with private equity firms in making investments and may do so in the future. This increased scrutiny may make it difficult to complete investments with private equity or hedge funds should we seek to do so.
Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.
Our success is dependent upon our ability to assess accurately the risks associated with the businesses that we insure and reinsure. We establish reserves for losses and loss adjustment expenses which represent estimates involving actuarial and statistical projections, at a given point in time, of our


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expectations of the ultimate settlement and administration costs of losses incurred. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of loss reserves. Most or all of these factors are not directly quantifiable, particularly on a prospective basis, and the effects of these and unforeseen factors could negatively impact our ability to accurately assess the risks of the policies that we write. Changes in the assumptions used by these models or by management could lead to an increase in our estimate of ultimate losses in the future. In addition, there may be significant reporting lags between the occurrence of the insured event and the time it is actually reported to the insurer and additional lags between the time of reporting and final settlement of claims. Unfavorable development in any of these factors could cause the level of reserves to be inadequate. In addition, the estimation of loss reserves is also more difficult during times of adverse economic and market conditions due to unexpected changes in behavior of claimants and policyholders, including an increase in fraudulent reporting of exposures and/or losses, reduced maintenance of insured properties or increased frequency of small claims. Changes in the level of inflation also result in an increased level of uncertainty in our estimation of loss reserves. As a result, actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements.
If our loss reserves are determined to be inadequate, we will be required to increase loss reserves at the time of such determination with a corresponding reduction in our net income in the period in which the deficiency becomes known. It is possible that claims in respect of events that have occurred could exceed our claim reserves and have a material adverse effect on our results of operations, in a particular period, or our financial condition in general. As a compounding factor, although most insurance contracts have policy limits, the nature of property and casualty insurance and reinsurance is such that losses can exceed policy limits for a variety of reasons and could significantly exceed the premiums received on the underlying policies, thereby further adversely affecting our financial condition.
In accordance with mortgage insurance industry practice, we establish loss reserves only for loans in our existing delinquency inventory. Because our mortgage insurance reserving process does not take account of the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not intended to be an estimate of total future losses. Our expectation of total future losses under our mortgage insurance policies in force at any period end is not reflected in our financial statements. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage insurance products if the amount of expected future losses for a particular
product and maintenance costs for such product exceeds expected future premiums, existing reserves and the anticipated investment income. We evaluate whether a premium deficiency exists quarterly. There can be no assurance that premium deficiency reserves will not be required in future periods. If this were to occur, our results of operations and financial condition could be adversely affected.
As of December 31, 2019, our consolidated reserves for unpaid losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable, were approximately $9.81 billion. Such reserves were established in accordance with applicable insurance laws and GAAP. Loss reserves are inherently subject to uncertainty. In establishing the reserves for losses and loss adjustment expenses, we have made various assumptions relating to the pricing of our reinsurance contracts and insurance policies and have also considered available historical industry experience and current industry conditions. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that relatively limited historical information has been reported to us through December 31, 2019.
The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.
We seek to limit our loss exposure by writing a numberThe availability of our reinsurance, contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each clientretrocessional coverage and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seekcapital market transactions to limit our exposure through the purchase of reinsurance. Forto risks may be limited, and counterparty credit and other risks associated with our U.S. mortgage insurance business,reinsurance arrangements may result in addition to utilizing reinsurance, we have developed a proprietary risk model that simulates the maximum loss resulting from a severe economic event impacting the housing market. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limitlosses which could adversely affect our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone’s limits. Various provisions of our policies, negotiated to limit our risk, such as limitations or exclusions from coverage or choice of forum, may not be enforceable in the manner we intend, as it is possible that a court or regulatory authority could nullify or void an exclusion or limitation, or legislation could be enacted modifying or barring the use of these exclusions and limitations. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may notfinancial condition


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provide sufficient guidance. No assurances can be made that these loss limitation methods will be effective and mitigate our loss exposure. One or more catastrophic events or severe economic events could result in claims that substantially exceed our expectations, or the protections set forth in our policiesresults of operations.
We could be voided, which, in either case, could have a material adverse effect on our financial condition or our results of operations, possiblymaterially adversely affected to the extent that important third parties with whom we do business do not adequately or appropriately manage their risks, commit fraud or otherwise breach obligations owed to us.
Emerging claim and coverage issues, including issues relating to the COVID-19 pandemic, may adversely affect our business.
Acquisitions, the addition of eliminatingnew lines of insurance or reinsurance business, expansion into new geographic regions and/or entering into joint ventures or partnerships expose us to risks.
Our information technology systems may be unable to meet the demands of customers and our shareholders’ equity. In addition, factors such as global climate change limit the value of historical experienceworkforce.
Technology failures and therefore further limit the effectivenesscyber attacks, including, but not limited to, ransomware, exploitation in software or code with malicious intent, state-sponsored cyber attacks, may impact us or our business partners and service providers, causing a disruption in service and operations which would negatively impact our business and/or expose us to litigation.
Cyber incidents or data breaches caused by bad actors or unintentional human error impacting data, including personal data, we maintain or use during our business operations may result in regulatory fines or action, reputation damage and a disruption in our business operations.
A downgrade in our ratings or our inability to obtain a rating for our operating insurance and reinsurance subsidiaries may adversely affect our relationships with clients and brokers and negatively impact sales of our loss limitation methods. See products.
Our success will depend on our ability to maintain and enhance effective operating procedures and internal controls and our ERM program.
We are exposed to credit risk in Item 7 for further details. Depending oncertain of our business opportunitiesoperations.
Our business is subject to applicable laws and regulations relating to economic trade sanctions and foreign bribery laws, the mixviolation of business that may comprisewhich could adversely affect our insurance, reinsurance and mortgage insurance portfolio, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business.operations.
New legislation or regulations relating to the U.K.’s withdrawal from the EU could adversely affect us.
Risks Relating to Financial Markets and Investments
Adverse developments in the financial markets could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital; our policyholders, reinsurers and retrocessionaires may also be affected by such developments, which could adversely affect their ability to meet their obligations to us.
Adverse developments inDisruption to the financial markets and weak economic conditions resulting from situations such as disruptions, uncertainty or volatility in the capitalpost pandemic imbalances, inflation and credit markets,geopolitical conflict may result in realizedadversely and unrealized capital losses that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. Depending on market conditions, we could incur additional realized and unrealized losses on our investment portfolio in future periods, which could have a material adverse effect on our results of operations, financial condition and business. Economic conditions could also have a material impact on the frequency and severity of claims and therefore could negativelymaterially impact our underwriting returns. In addition, our policyholders, reinsurers and retrocessionaires may be affected by developments in the financial markets, which could adversely affect their ability to meet their obligations to us. The volatility in the financial markets could continue to significantly affect our investment returns, reported results and shareholders’ equity.
The U.K.’s Withdrawal from the EU could adversely affect us.
In a referendum in June 2016, a majority of voting U.K. citizens voted in favor of Brexit, whereby the U.K. will leave the EU. The U.K. government invoked Article 50 of the Treaty on European Union (“Article 50”) in 2017. On January 31, 2020, the U.K. withdrew from the EU. Terms of this withdrawal are set forth in the Withdrawal Agreement, which was approved by the U.K. Parliament and the EU Parliament. The Withdrawal Agreement allows for a Transition Period whereby
"passporting" rights will continue to exist until the end of the Transition Period, which is December 31, 2020 (unless a single extension of one to two years to this Transition Period is agreed between the U.K. government and the EU, by June 30, 2020, although the U.K. government has indicated that no extension will be sought). During the Transition Period, the U.K. government and the EU will endeavor to negotiate a trade deal to govern the future relationship between the U.K. and the EU. If a trade deal is not agreed by the end of the Transition Period (and no extension to the Transition Period is agreed between the U.K. and the EU), the U.K. will leave the EU on December 31, 2020 on World Trade Organization ("WTO") terms, meaning that most U.K. goods will be subject to tariffs until a free trade deal is brought in and "passporting" rights will cease to apply.
Accordingly, there remains considerable uncertainty as to the negotiations between the U.K. and the EU during the Transition Period and the ultimate structure of the U.K’s future relationship with the EU. There is no certainty that the U.K.’s solvency and prudential regime will be deemed “equivalent” to Solvency II or that the U.K. will not impose more stringent requirements on companies conducting insurance business in the U.K.
During this Transition Period and beyond, the impact of the U.K.’s withdrawal on the U.K. and European economies and the broader global economy could be significant, resulting in negative consequences, such as increased volatility and illiquidity, and potentially lower economic growth in various markets in the U.K., Europe and globally and could continue to contribute to instability in global financial and foreign exchange markets. Brexit could also have the effect of disrupting the free movement of goods, services and people between the U.K. and the EU. We anticipate that Brexit may disrupt our U.K. domiciled entities, including our Lloyd’s syndicates, and their ability to “passport” within the EU. Similarly, Brexit may disrupt the ability of our EU domiciled entities to access the U.K. markets although the U.K is attempting to mitigate this by introducing a temporary permissions regime which allows firms that wish to continue carrying out regulated activities in the U.K. in the longer term to operate in the U.K for a limited period after withdrawal, while they seek authorization from the U.K. regulators. The full effects of Brexit are uncertain and will depend on any agreements the U.K. and EU enter into regarding their future relationship.
The negative impact of these events on economic conditions and global markets could have an adverse effect on our business, financial condition and liquidity. For example, this crisis may cause the value of the European currencies, including the Euro and the British Pound Sterling, to further depreciate against the U.S. Dollar, which in turn could materially adversely impact assets denominated in such currencies held in our investment portfolio or results of our European book of business. In


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addition, the applicable legal framework and the terms of our Euro-denominated insurance policies and reinsurance agreements generally do not address withdrawal by a member state from the Eurozone or a break-up of the EU, which could create uncertainty in our payment obligations and rights under those policies and agreements in the event that such a withdrawal or break-up does occur.
Additionally, a contagion effect of a possible default of one or more EU Member States and/or their withdrawal from the Eurozone, or the failure of financial institutions, on the global economy, including other EU Member States and our counterparties located in those countries, or a break-up of the EU could have a material adverse effect on our business, financial condition, results of operations and liquidity. As a result of Brexit, other European countries may seek to conduct referenda with respect to their continuing membership with the EU. Given these possibilities and others we may not anticipate, as well as the lack of comparable precedent, the full extent to which our business, results of operations and financial condition could be adversely affected by Brexit is uncertain.
The risk associated with underwriting treaty reinsurance business could adversely affect us.
Like other reinsurers, our reinsurance group does not separately evaluate each of the individual risks assumed under reinsurance treaties. Therefore, we are largely dependent on the original underwriting decisions made by ceding companies. We are subject to the risk that the ceding companies may not have adequately evaluated the risks to be reinsured and that the premiums ceded may not adequately compensate us for the risks we assume.
The availability of reinsurance, retrocessional coverage and capital market transactions to limit our exposure to risks may be limited, and counterparty credit and other risks associated with our reinsurance arrangements may result in losses which could adversely affect ourinvestments, financial condition and results of operations.
For the purposes of managing risk, we use reinsurance, retrocessional coverage and capital markets transactions. In the normal course of business, our insurance subsidiaries cede a portion of their premiums through pro rata, excess of loss and facultative reinsurance agreements. Our reinsurance subsidiaries purchase a limited amount of retrocessional coverage as part of their aggregate risk management program. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance subsidiaries, and the ceding company. Economic conditions could also have a material impact on our ability to manage our
risk aggregations through reinsurance or capital markets transactions. The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. As a result of such market conditions and other factors, we may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements.
Further, we are subject to credit risk with respect to our reinsurance and retrocessions because the ceding of risk to reinsurers and retrocessionaires does not relieve us of our liability to the clients or companies we insure or reinsure. We monitor the financial condition of our reinsurers and attempt to place coverages only with carriers we view as substantial and financially sound. Although we have not experienced any material credit losses to date, an inability of our reinsurers or retrocessionaires to meet their obligations to us could have a material adverse effect on our financial condition and results of operations. Our losses for a given event or occurrence may increase if our reinsurers or retrocessionaires dispute or fail to meet their obligations to us or the reinsurance or retrocessional protections purchased by us are exhausted or are otherwise unavailable for any reason. Our failure to establish adequate reinsurance or retrocessional arrangements or the failure of our existing reinsurance or retrocessional arrangements to protect us from overly concentrated risk exposure could adversely affect our financial condition and results of operations.
Our reliance on brokers subjects us to their credit risk.
In accordance with industry practice, we generally pay amounts owed on claims under our insurance and reinsurance contracts to brokers, and these brokers, in turn, pay these amounts to the clients that have purchased insurance or reinsurance from us. In some jurisdictions, if a broker fails to make such payment, we may remain liable to the insured or ceding insurer for the deficiency. Likewise, in certain jurisdictions, when the insured or ceding company pays the premiums for these contracts to brokers for payment to us, these premiums are considered to have been paid and the insured or ceding company will no longer be liable to us for those amounts, whether or not we have actually received the premiums from the broker. Consequently, we assume a degree of credit risk associated with our brokers. To date, we have not experienced any losses related to this credit risk.
Emerging claim and coverage issues may adversely affect our business.
As industry practices and legal, judicial, social and other environmental conditions change, unexpected and unintended issues related to claims and coverage may emerge, including new or expanded theories of liability. These or other changes could impose new financial obligations on us by extending coverage beyond our underwriting intent or otherwise require us to make unplanned modifications to the products and services that we provide, or cause the delay or cancellation of products


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and services that we provide. In some instances, these changes may not become apparent until sometime after we have issued insurance or reinsurance contracts that are affected by the changes. As a result, the full extent of liability under our insurance or reinsurance contracts may not be known for many years after a contract is issued. The effects of unforeseen developments or substantial government intervention could adversely impact our ability to achieve our goals.
Changes in current accounting principles and practices and financial reporting requirements may materially affect our reported financial results and our reported financial condition.
Our financial statements are prepared in accordance with GAAP, which is periodically revised by the Financial Accounting Standards Board (“FASB”), and they are subject to the accounting-related rules and interpretations of the SEC. We are required to adopt new and revised accounting standards implemented by the FASB. Unanticipated developments in accounting practices may require us to incur considerable additional expenses to comply with such developments, particularly if we are required to prepare information relating to prior periods for comparative purposes or to apply the new requirements retroactively. The impact of changes in accounting principles, practices and standards, particularly those that apply to insurance companies, cannot be predicted but may affect the calculation of net earnings, shareholders' equity and other relevant financial statement line items. In addition, such changes may cause additional volatility in reported earnings, decrease the understandability of our financial results and affect the comparability of our reported results with the results of others.
Risks Relating to Our Company
Acquisitions, the addition of new lines of insurance or reinsurance business, expansion into new geographic regions and/or entering into joint ventures or partnerships expose us to risks.
We may seek, from time to time, to acquire other companies, acquire selected blocks of business, expand our business lines, expand into new geographic regions and/or enter into joint ventures or partnerships. Such activities expose us to challenges and risks, including: integrating financial and operational reporting systems; establishing satisfactory budgetary and other financial controls; funding increased capital needs, overhead expenses or cash flow shortages that may occur if anticipated sales and revenues are not realized or are delayed, whether by general economic or market conditions or unforeseen internal difficulties; obtaining management personnel required for expanded operations; obtaining necessary regulatory permissions; and establishing adequate reserves for any acquired book of business. In addition, the value of assets acquired may be lower than expected or may diminish due to credit defaults or changes in interest rates; the liabilities
assumed may be greater than expected; and assets and liabilities acquired may be subject to foreign currency exchange rate fluctuation. We may also be subject to financial exposures in the event that the sellers of the entities or business we acquire are unable or unwilling to meet their indemnification, reinsurance and other contractual obligations to us. Our failure to manage successfully any of the foregoing challenges and risks may adversely impact our results of operations.
The ultimate performance of the Arch MI U.S. mortgage insurance portfolio remains uncertain.
Arch MI U.S. had risk in force of approximately $73.4 billion, before external reinsurance, as of December 31, 2019, including $3.9 billion of risk in force originated in 2009 and prior. The presence of multiple higher-risk characteristics in a loan materially increases the likelihood of a claim on such a loan unless there are other characteristics to mitigate the risk. The mix of business in our insured loan portfolio may affect losses and remain uncertain. 
The frequency and severity of claims we incur will be uncertain and will depend largely on general economic factors outside of our control, including, among others, changes in unemployment, home prices and interest rates in the U.S. Deteriorating economic conditions in the U.S. could adversely affect the performance of our acquired U.S. mortgage insurance portfolio and could adversely affect our results of operations and financial condition.
Generally, we cannot cancel mortgage insurance coverage or adjust renewal premiums during the life of a mortgage insurance policy. As a result, higher than anticipated claims generally cannot be offset by premium increases on policies in force or mitigated by our non-renewal or cancellation of insurance coverage. In addition, the premium rate for loans that refinanced in 2019 may be lower than premium rates charges on the original purchase in prior years. The premiums charged on the acquired UGC insured loan portfolio, and the associated investment income, may not be adequate to compensate us for the risks and costs associated with the insurance coverage provided to customers.
A downgrade in our ratings or our inability to obtain a rating for our operating insurance and reinsurance subsidiaries may adversely affect our relationships with clients and brokers and negatively impact sales of our products.
A ratings downgrade or the potential for such a downgrade, or failure to obtain a necessary rating, could adversely affect our relationships with agents, brokers, wholesalers, intermediaries, clients and other distributors of our existing products and services, as well as new sales of our products and services. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to


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our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral. Any ratings downgrade or failure to obtain a necessary rating could adversely affect our ability to compete in our markets, could cause our premiums and earnings to decrease and could have a material adverse impact on our financial condition and results of operations. In addition, a downgrade in ratings of certain of our operating subsidiaries would in certain cases constitute an event of default under our credit facilities. For further information on our financial strength and/or issuer ratings, see “Ratings” in Item 1. For further information on our letter of credit facilities, see the Letter of Credit and Revolving Credit Facilities section of “Contractual Obligations and Commercial Commitments” in Item 7.operation.
We can offer no assurances that our ratings will remain at their current levels or that any of our ratings which are under review or watch by ratings agencies will remain unchanged. We believe it is possible that rating agencies may heighten the level of scrutiny they apply when analyzing companies in our industry, may increase the frequency and scope of their reviews, may request additional information from the companies that they rate (including additional information regarding the valuation of investment securities held), and may adjust upward the capital and other requirements employed in their models for maintenance of certain rating levels.
Our success will depend on our ability to maintain and enhance effective operating procedures and internal controls and our enterprise risk management (“ERM”) program.
Operational risk and losses can result from, among other things, fraud, errors, failure to document transactions properly or to obtain proper internal authorization, failure to comply with regulatory requirements, information technology failures, failure to appropriately transition new hires or external events. We continue to enhance our operating procedures and internal controls (including information technology initiatives and controls over financial reporting) to effectively support our business and our regulatory and reporting requirements. Our management does not expect that our disclosure controls or our internal controls will prevent all errors and all fraud. A control system, no matter how well conceived and operated, can provide only reasonable, not absolute, assurance that the objectives of the control system are met. Further, the design of a control system must reflect the fact that there are resource constraints, and the benefits of controls must be considered relative to their costs. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision
making can be faulty, and that breakdowns can occur because of simple error or mistake. Additionally, controls can be circumvented by the individual acts of some persons or by collusion of two or more people. The design of any system of controls also is based in part upon certain assumptions about the likelihood of future events, and there can be no assurance that any design will succeed in achieving its stated goals under all potential future conditions; over time, controls may become inadequate because of changes in conditions, or the degree of compliance with the policies or procedures may deteriorate. As a result of the inherent limitations in a cost-effective control system, misstatement due to error or fraud may occur and not be detected. Accordingly, our disclosure controls and procedures are designed to provide reasonable, not absolute, assurance that our goals are met. Any ineffectiveness in our controls or procedures could have a material adverse effect on our business.
We operate within an ERM framework designed to assess and monitor our risks. However, there can be no assurance that we can effectively review and monitor all risks or that all of our employees will operate within the ERM framework. There can be no assurance that our ERM framework will result in us accurately identifying all risks and accurately limiting our exposures based on our assessments. For further information on our ERM framework, see “Enterprise Risk Management” in Item 1.
Our business is dependent upon insurance and reinsurance brokers and intermediaries, and the loss of important broker relationships could materially adversely affect our ability to market our products and services.
We market our insurance and reinsurance products primarily through brokers and intermediaries. We derive a significant portion of our business from a limited number of brokers. During 2019, approximately 12.2% and 9.6% of our gross premiums written were generated from or placed by Aon Corporation and its subsidiaries and Marsh & McLennan Companies and its subsidiaries, respectively. No other broker and no one insured or reinsured accounted for more than 10% of gross premiums written for 2019. Some of our competitors have higher financial strength ratings, offer a larger variety of products, set lower prices for insurance coverage, offer higher commissions and/or have had longer term relationships with the brokers we use than we have. This may adversely impact our ability to attract and retain brokers to sell our insurance products or brokers may increasingly promote products offered by other companies. The failure or inability of brokers to market our insurance products successfully, or loss of all or a substantial portion of the business provided by these brokers could have a material adverse impact on our business, financial condition and results of operations.


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We could be materially adversely affected to the extent that managing general agents, general agents and other producers exceed their underwriting authorities or if our agents, our insureds or other third parties commit fraud or otherwise breach obligations owed to us.
For certain business conducted by our insurance group, following our underwriting, financial, claims and information technology due diligence reviews, we authorize managing general agents, general agents and other producers to write business on our behalf within underwriting authorities prescribed by us. In addition, our mortgage group delegates the underwriting of a significant percentage of its primary new insurance written to certain mortgage lenders. Under this delegated underwriting program, the approved customer may determine whether mortgage loans meet our mortgage insurance program guidelines and commit us to issue mortgage insurance. We rely on the underwriting controls of these agents to write business within the underwriting authorities provided by us. Although we have contractual protections in some instances and we monitor such business on an ongoing basis, our monitoring efforts may not be adequate or our agents may exceed their underwriting authorities or otherwise breach obligations owed to us. In addition, our agents, our insureds or other third parties may commit fraud or otherwise breach their obligations to us. To the extent that our agents, our insureds or other third parties exceed their underwriting authorities, commit fraud or otherwise breach obligations owed to us in the future, our financial condition and results of operations could be materially adversely affected.
We are exposed to credit risk in certain of our business operations.
In addition to exposure to credit risk related to our investment portfolio, reinsurance recoverables and reliance on brokers and other agents (each discussed elsewhere in this section), we are exposed to credit risk in other areas of our business related to policyholders. We are exposed to credit risk in our insurance group’s surety unit where we guarantee to a third party that our policyholder will satisfy certain performance or financial obligations. If our policyholder defaults, we may suffer losses and be unable to be reimbursed by our policyholder. We are exposed to credit risk in our insurance group’s construction and national accounts units where we write large deductible insurance policies. Under these policies, we are typically obligated to pay the claimant the full amount of the claim (shown as “contractholder payables” on our consolidated balance sheets). We are subsequently reimbursed by the policyholder for the deductible amount (shown as “contractholder receivables” on our consolidated balance sheets), which can be a set amount per claim and/or an aggregate amount for all covered claims. As such, we are exposed to credit risk from the policyholder. We are also exposed to credit risk from policyholders on smaller deductibles in other insurance group lines, such as healthcare and excess and surplus casualty.
Additionally, we write retrospectively rated policies (i.e., policies in which premiums are adjusted after the policy period based on the actual loss experience of the policyholder during the policy period). In this instance, we are exposed to credit risk to the extent the adjusted premium is greater than the original premium. While we generally seek to mitigate this risk through collateral agreements that require the posting of collateral in such forms as cash and letters of credit from banks, our efforts to mitigate the credit risk that we have to our policyholders may not be successful. Although we have not experienced any material credit losses to date, an increased inability of our policyholders to meet their obligations to us could have a material adverse effect on our financial condition and results of operations.
Our investment performance may affect our financial results and ability to conduct business.
Our operating results depend in part on the performance of our investment portfolio. A significant portion of cash and invested assets held by Arch consists of fixed maturities (75.8% as of December 31, 2019). Although our current investment guidelines and approach stress preservation of capital, market liquidity and diversification of risk, our investments are subject to market-wide risks and fluctuations. In addition, we are subject to risks inherent in particular securities or types of securities, as well as sector concentrations. Changing market conditions could materially affect the future valuation of securities in our investment portfolio, which could cause us to impair some portion of those securities. We may not be able to realize our investment objectives, which could have a material adverse effect on our financial results. In the event that we are unsuccessful in correlating our investment portfolio with our expected insurance and reinsurance liabilities, we may be forced to liquidate our investments at times and prices that are not optimal, which could have a material adverse effect on our financial results and ability to conduct our business.
Foreign currency exchange rate fluctuation may adversely affect our financial results.
We write business on a worldwide basis, and our results of operations may be affected by fluctuations in the value of currencies other than the U.S. Dollar. The primary foreign currencies in which we operate are the Euro, the British Pound Sterling, the Australian Dollar and the Canadian Dollar. Changes in foreign currency exchange rates can reduce our revenues, increase our liabilities and costs and cause fluctuations in the valuation of our investment portfolio. We may therefore suffer losses solely as a result of exchange rate fluctuations. In order to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities, we have invested and expect to continue to invest in securities denominated in currencies other than the U.S. Dollar. In addition, we may replicate investment positions in foreign currencies using derivative financial instruments. Changes in


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the value of investments due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders' equity and are not included in the statement of income. We have chosen not to hedge certain currency risks on capital contributed to certain subsidiaries, and may continue to choose not to hedge our currency risks. There can be no assurances that arrangements to match projected liabilities in foreign currencies with investments in the same currencies or derivative financial instruments will mitigate the negative impact of exchange rate fluctuations, and we may suffer losses solely as a result of exchange rate fluctuations.
We may be adversely affected by changes in economic conditions, including interest rate changes.
Our operating results are affected by, and we are exposed to, significant financial and capital markets risk, including changes in interest rates, real estate values, foreign currency exchange rates, market volatility, the performance of the economy in general, the performance of our investment portfolio and other factors outside our control. Interest rates are highly sensitive to many factors, including the fiscal and monetary policies of the U.S. and other major economies, inflation, economic and political conditions and other factors beyond our control. Although we attempt to take measures to manage the risks of investing in changing interest rate environments, we may not be able to mitigate interest rate sensitivity effectively. Despite our mitigation efforts, an increase in interest rates could have a material adverse effect on our book value.
Our investment portfolio includes residential mortgage backed securities (“RMBS”). As of December 31, 2019, RMBS constituted approximately 2.4% of cash and invested assets held by Arch. As with other fixed income investments, the fair value of these securities fluctuates depending on market and other general economic conditions and interest rate trends. In periods of declining interest rates, mortgage prepayments generally increase and RMBS are prepaid more quickly, requiring us to reinvest the proceeds at the then current market rates. Conversely, in periods of rising rates, mortgage prepayments generally fall, preventing us from taking full advantage of the higher level of rates. The residential mortgage market in the U.S has experienced a variety of difficulties in certain underwriting periods. A decline or an extended flattening in residential property values may result in additional increases in delinquencies and losses on residential mortgage loans generally, especially with respect to any residential mortgage loans where the aggregate loan amounts (including any subordinate loans) are close to or greater than the related property values. These developments may have a significant adverse effect on the prices of loans and securities, including those in our investment portfolio and may have other wide ranging consequences, including downward pressure on economic growth and the potential for increased insurance and reinsurance exposures, which could have an adverse impact on
our results of operations, financial condition, business and operations.
Mortgage insurance losses result when a borrower becomes unable to continue to make mortgage payments and the home of such borrower cannot be sold for an amount that covers unpaid principal and interest and the expenses of the sale. Deteriorating economic conditions increase the likelihood that borrowers will have insufficient income to pay their mortgages and can adversely affect housing values. In addition, natural disasters or other catastrophic events could result in increased claims if such events adversely affected the employment and income of borrowers and the value of homes. Any of these events or deteriorating economic conditions could cause our mortgage insurance losses to increase and adversely affect our results of operations and financial condition. See “Catastrophic Events and Severe Economic Events” in Item 7 for further details.
Our portfolio includes commercial mortgage backed securities (“CMBS”). At December 31, 2019, CMBS constituted approximately 3.3% of cash and invested assets held by Arch. The commercial real estate market may experience price deterioration, which could lead to delinquencies and losses on commercial real estate mortgages.
In addition, in each year, a significant portion of our mortgage insurance premiums will be from mortgage insurance written in prior years. The length of time insurance remains in force, referred to as persistency, is a significant driver of mortgage insurance revenues. Factors affecting persistency include: current mortgage interest rates compared to those rates on mortgages in our insurance in force, which affects the likelihood of the insurance in force to be subject to cancellation due to borrower refinancing; the amount of home equity, as homeowners with more equity in their homes can generally more readily move to a new residence or refinance their existing mortgage; and mortgage insurance cancellation policies and practices of mortgage investors and mortgage services and the cancellation of borrower-paid mortgage insurance, either upon request of the borrower or as required by law based upon the amortization of the loan. In 2018, the GSEs announced changes to various mortgage insurance termination requirements that are intended to further simplify the process of evaluating borrower-initiated requests for mortgage insurance termination. Among other things, these changes update evidence of value requirements for borrower requested cancellation based on the original value of the property and the current value of the property, raise Fannie Mae’s loan-to-value ratio for cancellation based on substantial improvements from 75% or less to 80% or less, provide clarification regarding what constitutes substantial improvements to the property, allow servicers to respond to either verbal or written requests for mortgage insurance cancellation by a borrower, and provide servicers flexibility in evaluating the payment history of borrowers that have been impacted by certain disaster events.


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Fannie Mae implemented these changes by March 1, 2019, although certain requirements were implemented as early as January 1, 2019. Freddie Mac’s requirements became effective October 1, 2018. If these or other factors cause the length of time our mortgage insurance policies remain in force to decline, our mortgage insurance revenues could be adversely affected.
Significant, continued volatility in financial markets, changes in interest rates, a lack of pricing transparency, decreased market liquidity, declines in equity prices and the strengthening or weakening of foreign currencies against the U.S. Dollar, individually or in tandem, could have a material adverse effect on our results of operations, financial condition or cash flows through realized losses, impairments and changes in unrealized positions.
Uncertainty relating to the determination of LIBORthe London Interbank Offered Rate (“LIBOR”) and the potential phasing out and replacement of LIBOR after 2021with alternative benchmark rates may adversely affect our cost of capital, net investment income and mortgage reinsurance costs.impact us.
On July 27, 2017, the U.K. Financial Conduct Authority announced that it intends to stop persuading or compelling banks to submit LIBOR rates after 2021. As a result, LIBOR and certain other indices which are currently utilized as benchmarks are not expected to be published after 2021. LIBOR is the benchmark rate that is used by many banks and issuers to set interests in loan documents. Recognizing the need to replace LIBOR, authorities in the United States convened the Alternative Reference Rate Committee (“ARRC”) in 2014 to identify a replacement for LIBOR. In 2017, the ARRC identified the Secured Overnight Financing Rate (“SOFR”) - a combination of certain overnight repo rates, as its preferred alternative to LIBOR, and in April 2018, the Federal Reserve Bank of New York began publishing the SOFR rate. Because SOFR is an overnight rate, versus the various term rates that are available with LIBOR, and SOFR is also a risk-free rate, versus LIBOR which has an embedded credit charge, the transition from LIBOR to SOFR will require adjustments. The uncertainty of these adjustments, and the timing of when the transition will occur may adversely affect the value of and trading market for LIBOR-based securities. Moreover, the transition to SOFR from LIBOR for U.S. Dollar transactions as well as LIBOR transitions in other currencies and any future reform, replacement or disappearance of LIBOR may adversely affect the value of and return of our investment portfolio, our cost of capital and our cost of issuing Bellemeade mortgage risk transfer securities. We do not believe that it is possible to predict how markets will respond to the transition to SOFR from LIBOR on new or existing financial instruments or quantify the potential effect of any such event on us at this time. While we have an internal committee focused on managing the replacement of LIBOR for our investments and operations, we do not believe that it is possible to predict how markets will respond to the transition to SOFR, or any other rate, from
LIBOR on new or existing financial instruments or quantify the potential effect of any such event on us at this time.
The determination of the amount of current expected credit losses (“CECL”) allowances and impairments taken on our investments is highly subjective and could materially impact our results of operations or financial position.
On a quarterly basis, we perform reviews of our investments to determine whether declines in fair value below the cost basis are considered other-than-temporary in accordance with applicable accounting guidance regarding the recognition and presentation of other-than-temporary impairments. The process of determining whether a security is other-than-temporarily impaired requires judgment and involves analyzing many factors. These factors include: an analysis of the liquidity, business prospects and overall financial condition of the issuer; the time period in which there was a significant decline in value; the significance of the decline; and the analysis of specific credit events. There can be no assurance that our management has accurately assessed the level of impairments taken and allowances reflected in our financial statements. Furthermore, additional impairments may need to be taken or allowances provided for in the future. Historical trends may not be indicative of future impairments or allowances. Further, rapidly changing and unpredictable credit and equity market conditions could materially affect the valuation of securities carried at fair value as reported within our consolidated financial statements and the period-to-period changes in value could vary significantly. Decreases in value could have a material adverse effect on our financial condition and results of operations.
Certain of our investments are illiquid and are difficult to sell, or to sell in significant amounts at acceptable prices, to generate cash to meet our needs.
Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and strategic investments in joint ventures such as Watford, Premia and others,reinsurance subsidiaries may be illiquid duerequired to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we may have difficulty selling these investments in a timely manner or may be forcedprovide collateral to sell or terminate them at unfavorable values.
We may require additional capital or credit in the future, which may not be available or may only be available on unfavorable terms.
The capital requirements of our businesses depend on many factors, including regulatory and rating agency requirements, the performance of our investment portfolio, our ability to write new business successfully, the frequency and severity of catastrophe events and our ability to establish premium rates and reserves at levels sufficient to cover losses. We may need


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to raise additional funds through equity or debt financings. Any equity or debt financing, if available at all, may be on terms that are unfavorable to us. Equity financings could be dilutive to our existing shareholders and could result in the issuance of securities that have rights, preferences and privileges that are senior to those of our outstanding securities. If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected. See “Capital Resources” in Item 7 for further details.
The loss of our key employees or our inability to retain them could negatively impact our business.
Our success has been, and will continue to be, dependent on our ability to retain the services of our existing key executive officers and to attract and retain additional qualified personnel in the future. The pool of talent from which we actively recruit is limited. Although, to date, we have not experienced difficulties in attracting and retaining key personnel, the inability to attract and retain qualified personnel could have a material adverse effect on our financial condition and results of operations. In addition, our underwriting staff is critical to our success in the production of business. While we do not consider any of our key executive officers or underwriters to be irreplaceable, the loss of the services of our key executive officers or underwriters or the inability to hire and retain other highly qualified personnel in the future could delay or prevent us from fully implementing our business strategy which could affect our financial performance.
Our information technology systems may be unable to meet the demands of customers.
Our information technology systems service our insurance portfolios. Accordingly, we are highly dependent on the effective operation of these systems. While we believe that the systems are adequate to service our insurance portfolios, there can be no assurance that they will operate in all manners in which we intend or possess all of the functionality requiredceding companies, by customers currently or in the future.
Our customers, especially our mortgage insurance customers, require that we conduct our business in a secure manner, electronically via the Internet or via electronic data transmission. We must continually invest significant resources in establishing and maintaining electronic connectivity with customers. In order to integrate electronically with customers in the mortgage insurance industry, we require electronic connections between our systems and those of the industry's largest mortgage servicing systems and leading loan origination systems. Our mortgage group currently possesses connectivity with certain of these external systems, but there is no assurance that such connectivity is sufficient and we are continually undertaking new electronic integration efforts with third-party loan servicing and origination systems. We also rely on electronic integrations in our insurance operations, both in the
U.S. and the U.K. The extent to which our insurance operations utilize electronic connections with external systems will expand to address the increasing importance of the use of the information technology for our insurance customers. Our business, financial condition and operating results may be adversely affected if we do not possess or timely acquire the requisite set of electronic integrations necessary to keep pace with the technological demands of customers.
Technology breaches or failures, including, but not limited to, those resulting from a malicious cyber attack on us or our business partners and service providers, could disrupt or otherwise negatively impact our business and/or expose us to litigation.
We rely on information technology systems to process, transmit, store and protect the electronic information, financial data and proprietary models that are critical to our business. Furthermore, a significant portion of the communications between our employees and our business partners and service providers depends on information technology and electronic information exchange. Like all companies, our information technology systems are vulnerable to data breaches, interruptions or failures due to events that may be beyond our control, including, but not limited to, natural disasters, power outages, theft, terrorist attacks, computer viruses, hackers, errors in usage and general technology failures. Additionally, our employees and vendors may use portable computers or mobile devices which may contain duplicate or similar information to that in our computer systems, and these devices can be stolen, lost or damaged. Security breaches could expose us to the loss or misuse of our information, litigation and potential liability. In addition, cyber incidents that impact the availability, reliability, speed, accuracyapplicable regulators, their contracts or other proper functioning of these systems could have a significant negative impact on our operations and possibly our results. A cyber incident could also result in a violation of applicable privacy and other laws, damage our reputation, cause a loss of customers, adversely affect our stock price, cause us to incur remediation costs, increased cybersecurity protection costs and/or increased insurance premiums, and/or give rise to monetary fines and other penalties, any of which could be significant and could adversely affect our business.
We have outsourced certain technology and business process functions to third parties and may continue do so in the future. Our outsourcing of certain technology and business process functions to third parties may expose us to increased risk related to data security, service disruptions or the effectiveness of our control system, which could result in monetary and reputational damage or harm to competitive position. These risks could increase as vendors increasingly offer cloud-based software services rather than software services which can be run within our data centers.



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We believe that we have established and implemented appropriate security measures to provide reasonable assurance that our information technology systems are secure and appropriate controls and procedures to enable us to identify and respond to unauthorized access to such systems. We regularly engage third parties to evaluate and test the adequacy of our most critical security measures, controls and procedures. Despite these security measures, controls and procedures, disruptions to and breaches of our information technology systems are possible. Because we rely on our technology systems for many critical functions, including connecting with our customers, if such systems were to fail or be attacked or breached, we may experience a significant disruption in our operations and in the business we receive and process, which could adversely affect our results of operations and financial condition.

In addition, the regulatory environment surrounding information security and privacy is increasingly changing. We are subject to EU, U.S. federal, state and other foreign laws and regulations regarding the protection of personal data and information. These laws and regulations are complex and sometimes conflict. We could be subject to fines, penalties and/or regulatory enforcement actions in one or more jurisdictions if any person, including any employee, disregards or breaches, whether intentionally or negligently, controls intended to protect the confidential information of our employees or clients. Failure to timely report breach incidents under these regulations may also result in fines, penalties and/or other enforcement actions. As an example, the New York State Department of Financial Services adopted a regulation pertaining to cybersecurity for all banking and insurance entities under its jurisdiction that came into effect March 1, 2017. California also enacted the CCPA, which took effect January 1, 2020 and grants California consumers certain rights to, among other things, access and delete data about them subject to certain exceptions, as well as a private right of action with statutory penalties. Additionally, GDPR came into effect on May 25, 2018, and requires businesses offering goods and services to, or monitoring the behavior of, customers in the EU to comply with onerous accountability obligations and significantly enhanced conditions to processing personal data. Non-compliance with the GDPR could result in a fine of up to 4% of a firm’s global annual revenue per violation. Ourcommercial considerations. Their ability to conduct our business could be significantly and our resultsnegatively affected if they are unable to do so.
Risks Relating to Our Mortgage Operations
The ultimate performance of operations might be materially and adversely affected.the Arch MI U.S. mortgage insurance portfolio remains uncertain.
If the volume of low down payment mortgage originations declines, or if other government housing policies, practices or regulations change, the amount of mortgage insurance we write in the U.S. could decline, which would reduce our mortgage insurance revenues.
The size of the U.S. mortgage insurance market depends in large part upon the volume of low down payment home mortgage originations. Factors affecting the volume of low down payment mortgage originations include, among others: restrictions on
mortgage credit dueChanges to stringent underwriting standards and liquidity issues affecting lenders; changes in mortgage interest rates and home prices, and other economic conditions in the U.S. and regional economies; population trends, including the rate of household formation; and U.S. government housing policy. A decline in the volume of low down payment home mortgage originations could decrease demand for mortgage insurance, decrease our U.S. new insurance written and reduce mortgage insurance revenues.
If the role of the GSEs in the U.S. housing market changes, or if the GSEs change other policies or practices, the amount of mortgage insurance that we write could decline, which would reduce our mortgage insurance revenues.
The GSEs are the beneficiaries of the significant majority of the insurance policies we issue as a result of their purchases, statutorily required or otherwise, of qualifying mortgage loans from lenders or investors. The charters of the GSEs require credit enhancement for low down payment mortgages in order for such loans to be eligible for purchase or guarantee by the GSEs. If the charters of the GSEs were amended to change or eliminate the acceptability of private mortgage insurance, our mortgage insurance business could decline significantly. The FHFA has also indicated the possibility of amending the Preferred Stock Purchase Agreements (“PSPAs”) that the GSEs have executed with the Department of Treasury or pursuing consent orders, in conjunction with releasing the GSEs from conservatorship, to place continuing restrictions on the GSEs post conservatorship. If the PSPAs include restrictions on the loans purchased by the GSEs, our mortgage insurance business could decline.
The premiums we charge for mortgage insurance on insured loans and the associated investment income may not be adequate to compensate for future losses from these loans.
We set premiums at the time a policy is issued based upon our expectations regarding likely performance over the life of insurance coverage. We generally cannot cancel mortgage insurance coverage or adjust renewal premiums during the life of a mortgage insurance policy. As a result, losses from higher than anticipated claims generally cannot be offset by premium increases on policies in force or mitigated by non-renewal or cancellation of insurance coverage. The premiums we charge on our insurance in force and the associated investment income may not be adequate to compensate us for the risks and costs associated with the insurance coverage provided to customers. An increase in the number or size of claims, compared to what we anticipate, could adversely affect Arch MI U.S.’s results of operations and financial condition.


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GSE eligibility requirements for mortgage insurers could require us to contribute additional capital to Arch MI U.S. in the future, and could negatively impact our results of operations and financial condition or reduce our operating flexibility.
Substantially all of Arch MI U.S.’s insurance written has been for loans sold to the GSEs. The PMIERs apply to Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company, which are GSE-approved mortgage insurers (“eligible mortgage insurers”). The PMIERs impose limitations on the type of risk insured, the forms and insurance policies issued, standards for the geographic and customer diversification of risk, procedures for claims handling, acceptable underwriting practices, standards for certain reinsurance cessions and financial requirements, among other things. The financial requirements require a mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Our eligible mortgage insurers each satisfied the PMIERs’ financial requirements as of December 31, 2019.
The revised PMIERs also impose additional operational requirements in areas such as claim processing, loss mitigation, underwriting, quality control, and reporting. The revised requirements have caused us to make changes to our business practices and incur additional costs in order to achieve and maintain compliance with the PMIERs. While we do not expect the revised PMIERs to have a significant impact on our operations or a material impact on our capital position the increase in capital required to satisfy the revised PMIERs may decrease our return on capital.
While we intend to continue to comply with these requirements, there can be no assurance that the GSEs will continue to treat Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company as eligible mortgage insurers. If either or both of the GSEs were to cease to consider Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company as eligible mortgage insurers and, therefore, cease accepting our mortgage insurance products, our results of operations and financial condition would be adversely affected.
The mix of business we write affects Arch MI U.S.’s losses and will affect the minimum required assets Arch MI U.S. is required to maintain in order to comply with PMIERs financial requirements.
Our mortgage insurance portfolio includes loans with loan-to-value ratios exceeding 95%, loans with FICO scores below 620, adjustable rate mortgages, (“ARMs”), and less-than A quality loans. Even when housing values are stable or rising, we expect higher default and claim rates for high loan-to-value loans, loans with lower FICO scores, ARMs and less-than A quality loans. Although we attempt to incorporate the higher default
and claim rates associated with these loans into our underwriting and pricing models, there can be no assurance that the premiums earned and the associated investment income will adequately compensate us for future losses from these loans. From time to time, we change the types of loans that we insure and the requirements under which we insure them. In 2017 and 2018, we modestly expanded our underwriting guidelines and we may further expand such guidelines in the future.
The geographic mix of Arch MI U.S.’s business could increase losses and harm our financial performance. We are affected by economic downturns and other events in specific regions of the United States where a large portion of our U.S. mortgage insurance business is concentrated. As of December 31, 2019, 7.7% of Arch MI U.S.’s primary risk-in-force was located in Texas, 7.1% was located in California and 5.3% was located in Florida. See the Mortgage Operations Supplemental Information section of “Critical Accounting Policies, Estimates and Recent Accounting Pronouncements” in Item 7 for further details.
Arch MI U.S.’s minimum required assets under the PMIERs will be determined, in part, by the particular risk profiles of the loans it insures. If, absent other changes, Arch MI U.S.’s mix of business changes to include more loans with higher loan-to-value ratios or lower credit scores, it will have a higher minimum required asset amount under the PMIERs and, accordingly, be required to hold more capital in order to maintain GSE eligibility.
Potential changes to state mortgage insurance regulations could reduce Arch MI U.S.’s profitability and its ability to compete with credit enhancement alternatives to mortgage insurance.
The NAIC, which reviews state insurance laws and regulations, has established a Mortgage Guaranty Insurance Working Group (“Working Group”) to make recommendations to the NAIC's Financial Condition Committee regarding changes to the NAIC’s Mortgage Guaranty Insurance Model Act. The Working Group has released a draft of the Model Act which includes proposed changes to minimum statutory capital requirements.
If the NAIC revises the Model Act, some state legislatures are likely to enact and implement part or all of the revised provisions. While we cannot predict the effect that any NAIC recommendations or future legislation may have on Arch MI U.S., such changes could reduce Arch MI U.S.’s profitability and its ability to compete with credit enhancement alternatives to mortgage insurance, which could adversely affect our financial condition or results of operations.


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If servicers fail to adhere to appropriate servicing standards or experience disruptions to their businesses, our mortgage insurance operations could be adversely affected.
We depend on reliable, consistent third-party servicing of the loans that we insure. Among other things, our mortgage insurance policies require our customers and their servicers to timely submit premium and reports and utilize commercially reasonable efforts to limit and mitigate loss when a loan is in default. Without reliable, consistent third-party servicing, our insurance subsidiaries may be unable to correctly record new loans as they are underwritten, receive and process payments on insured loans and/or properly recognize and establish reserves on loans when a default exists or occurs but is not reported to us. In addition, if these servicers fail to limit and mitigate losses when appropriate, our losses may unexpectedly increase. If one or more servicers failed to adhere to these requirements, our financial results could be adversely affected.
The implementation of the Basel III Capital Accord and FHFA’s Enterprise Capital Rule may adversely affect the use of mortgage insurance by certain banks.
With certain exceptions, the Basel III Rules became effective on January 1, 2014. If further implementation of the Basel III Rules increases the capital requirements of banking organizations with respect to the residential mortgages we insure or does not provide sufficiently favorable treatment for the use of mortgage insurance, it could adversely affect the demand for mortgage insurance. In December 2017, the Basel Committee published final revisions to the Basel Capital Accord which is informally denominated in the U.S. as “Basel IV.” The Basel Committee expects the new rules to be phased-in beginning in January 2020 and fully implemented by January 2027. In October 2019, the EU stated that it will conduct an “impact study” of the new rules before implementation, indicating that additional changes are possible. Under these revised rules, banks using the standardized approach for credit risk management will determine the risk-weight for residential mortgages based on the loan-to-value ratio at loan origination, without consideration of mortgage insurance. As prescribed at the international level, the new standard would permit consideration of mortgage insurance, but only if the company issuing the insurance has a lower risk-weight than the underlying exposure. Mortgage insurance issued by private companies would not meet this test in connection with residential mortgage. Therefore, under the 2017 international agreement, mortgage insurance could not mitigate credit and lower the capital charge under the standardized approach. To date the U.S. banking agencies have not begun the implementation of Basel IV standards. If the Basel IV standard is implemented in the U.S. without modification, mortgage insurance would not lower the loan-to-value ratio of residential loans for capital purposes, and therefore the demand for this product may decrease. It is also possible that the U.S. regulatory agencies could determine that their current capital rules are at least as stringent as the Basel IV standards, in which case noCRT opportunities.

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change would be required regarding the treatment of mortgage insurance for capital purposes. However, if the U.S. agencies decide
Risk Relating to implement the new standards drafted by the Basel Committee, mortgage insurance would not lower the loan-to-value ratio of residential loans for capital purposes, and therefore may decrease the demand for this product.Our Company
Further, it is possible (but not mandated by the Basel Capital Accord) that the banking agencies and the GSEs might likewise discontinue taking mortgage insurance into account when determining a mortgage’s loan-to-value ratio for prudential (non-capital) purposes. Additionally, a new risk-based capital proposal for the GSEs was published for comment by the FHFA in 2018. Under this proposal the capital requirements of these GSEs would take into account the existence of credit mitigants, such as mortgage insurance. However, mortgage insurance issued by monoline mortgage insurance companies would result in less capital relief than the capital relief afforded by other forms of credit mitigation, such as the issuance of credit-linked notes. In November 2019 the FHFA announced that it would re-propose the 2018 capital rules in 2020. In that announcement the FHFA explained that the re-proposed rule would be consistent with the goal of releasing the GSEs from conservatorship and ensuring that taxpayers will never be on the hook again during an economic downturn. If this rulemaking is finalized, a new capital framework for the Enterprises might disadvantage monoline mortgage insurance companies, or otherwise reduce the demand for this product. The capital rules proposed by FHFA may also prompt the banking regulators to re-examine the bank capital rules, and such action could disadvantage monoline mortgage insurance companies.
Some of the provisions of our bye-laws and our shareholders agreement may have the effect of hindering, delaying or preventing third party takeovers or changes in management initiated by shareholders. These provisions may also prevent our shareholders from receiving premium prices for their shares in an unsolicited takeover.
Some provisions of our bye-laws could have the effect of discouraging unsolicited takeover bids from third parties or changes in management initiated by shareholders. These provisions may encourage companies interested in acquiring us to negotiate in advance with our board of directors, since the board has the authority to overrule the operation of several of the limitations.
Among other things, our bye-laws provide: for a classified board of directors, in which the directors of the class elected at each annual general meeting holds office for a term of three years, with the term of each class expiring at successive annual general meetings of shareholders; that the number of directors is determined by the board from time to time by a vote of the majority of our board; that directors may only be removed for cause, and cause removal shall be deemed to exist only if the director whose removal is proposed has been convicted of a


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felony or been found by a court to be liable for gross negligence or misconduct in the performance of his or her duties; that our board has the right to fill vacancies, including vacancies created by an expansion of the board; and for limitations on a shareholder’s right to raise proposals or nominate directors at general meetings. Our bye-laws provide that certain provisions which may have anti-takeover effects may be repealed or altered only with prior board approval and upon the affirmative vote of holders of shares representing at least 65% of the total voting power of our shares entitled generally to vote at an election of directors.
The bye-laws also contain a provision limiting the rights of any U.S. person (as defined in section 7701(a)(30) of the Internal Revenue Code of 1986, as amended (the “Code”)) that owns shares of Arch Capital, directly, indirectly or constructively (within the meaning of section 958 of the Code), representing more than 9.9% of the voting power of all shares entitled to vote generally at an election of directors. The votes conferred by such shares of such U.S. person will be reduced by whatever amount is necessary so that after any such reduction the votes conferred by the shares of such person will constitute 9.9% of the total voting power of all shares entitled to vote generally at an election of directors. Notwithstanding this provision, the board may make such final adjustments to the aggregate number of votes conferred by the shares of any U.S. person that the board considers fair and reasonable in all circumstances to ensure that such votes represent 9.9% of the aggregate voting power of the votes conferred by all shares of Arch Capital entitled to vote generally at an election of directors. Arch Capital will assume that all shareholders (other than specified persons) are U.S. persons unless we receive assurance satisfactory to us that they are not U.S. persons.
The bye-laws also provide that the affirmative vote of at least 66 2/3% of the outstanding voting power of our shares (excluding shares owned by any person (and such person’s affiliates and associates) that is the owner of 15% or more (a “15% Holder”) of our outstanding voting shares) shall be required for various corporate actions, including: merger or consolidation of the company into a 15% Holder; sale of any or all of our assets to a 15% Holder; the issuance of voting securities to a 15% Holder; or amendment of these provisions; provided, however, the supermajority vote will not apply to any transaction approved by the board.
The provisions described above may have the effect of making more difficult or discouraging unsolicited takeover bids from third parties. To the extent that these effects occur, shareholders could be deprived of opportunities to realize takeover premiums for their shares and the market price of their shares could be depressed. In addition, these provisions could also result in the entrenchment of incumbent management.
There are regulatory limitations on the ownership and transfer of our common shares.
The jurisdictions in which our insurance and reinsurance subsidiaries operate have laws and regulations that require regulatory approval of a change in control of an insurer or an insurer's holding company. Where such laws apply to us and our subsidiaries, there can be no effective change in our control unless the person seeking to acquire control has filed a statement with the regulators and has obtained prior approval for the proposed change from such regulators. The usual measure for a presumptive change in control pursuant to these laws is the acquisition of 10% or more of the voting power of the insurance company or its parent, although this presumption is rebuttable. Consequently, a person may not acquire 10% or more of our common shares without the prior approval of the applicable insurance regulators. These laws may discourage potential acquisition proposals and may delay, deter or prevent a change in control of us, including transactions that some shareholders might consider to be desirable.
Our insurance and reinsurance subsidiaries are subject to regulation in various jurisdictions, and failure to comply with existing regulations or material changes in the regulation of their operations, or any investigations, inquiries or demands by government authorities, could adversely affect us.
Our insurance and reinsurance subsidiaries are subject to the laws and regulations of a number of jurisdictions worldwide, including Bermuda, the states in the U.S. in which such subsidiaries conduct business, the U.K., certain EU Member States, Canada, Switzerland, Australia and Hong Kong. Existing laws and regulations, among other things, limit the amount of dividends that can be paid to us by our insurance and reinsurance subsidiaries, prescribe solvency and capital adequacy standards, impose restrictions on the amount and type of investments that can be held to meet solvency and capital adequacy requirements, require the maintenance of reserve liabilities, and require pre-approval of acquisitions and certain affiliate transactions. Failure to comply with these laws and regulations or to maintain appropriate authorizations, licenses, and/or exemptions under applicable laws and regulations may cause governmental authorities to preclude or suspend our insurance or reinsurance subsidiaries from carrying on some or all of their activities, place one or more of them into rehabilitation or liquidation proceedings, impose monetary penalties or other sanctions on them or our affiliates, or commence insurance company delinquency proceedings against our insurance or reinsurance subsidiaries. The application of these laws and regulations by various governmental authorities, including authorities outside the U.S., may affect our liquidity and restrict our ability to expand our business operations through acquisitions or to pay dividends on our ordinary shares. Furthermore, compliance with legal and regulatory requirements may result in significant expenses, which could have a negative impact on our profitability.
In addition to legal and regulatory requirements, the insurance and reinsurance industry has experienced substantial volatility


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as a result of investigations, litigation and regulatory activity by various insurance, governmental and enforcement authorities, including the SEC, concerning certain practices within the insurance and reinsurance industry. Our involvement in any investigations, litigations or regulatory activity, including any related lawsuits, would cause us to incur legal costs and, if we or any of our insurance or reinsurance subsidiaries were found to have violated any laws or regulations, we could be required to pay fines and damages and incur other sanctions, perhaps in material amounts, which could have a material negative impact on our profitability.
Any such litigation or failure to comply with applicable laws could result in the imposition of significant restrictions on our ability to do business, and could also result in suspensions, injunctions, monetary damages, fines or other sanctions, any or all of which could adversely affect our financial condition and results of operations.
Our reinsurance subsidiaries may be required to provide collateral to ceding companies, by applicable regulators, their contracts or other commercial considerations. Their ability to conduct business could be significantly and negatively affected if they are unable to do so.
Arch Re Bermuda is a registered Bermuda insurance company and is not licensed or admitted as an insurer in any jurisdiction in the U.S., although Arch Re Bermuda has been approved as a “certified reinsurer” in certain U.S. states that allow reduced collateral for reinsurance ceded to such reinsurers. Arch Re Bermuda's contracts generally require it to post a letter of credit or provide other security, even in U.S. states where it has been approved for reduced collateral. State credit for reinsurance rules also generally provide that certified reinsurers such as Arch Re Bermuda must provide 100% collateral in the event their certified status is “terminated” or upon the entry of an order of rehabilitation, liquidation or conservation against a ceding insurer.
Although, to date, Arch Re Bermuda has not experienced any difficulties in providing collateral when required, if we are unable to post security in the form of letters of credit or trust funds when required, the operations of Arch Re Bermuda could be significantly and negatively affected.
Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries.
Arch Capital is a holding company whose assets primarily consist of the shares in our subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any payments of dividends, redemption amounts or liquidation amounts with
respect to our preferred shares and common shares, and to fund the share repurchase program. The ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. In addition, the ability of our insurance and reinsurance subsidiaries to pay dividends to Arch Capital and to intermediate parent companies owned by Arch Capital could be constrained by our dependence on financial strength ratings from independent rating agencies. Our ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations. See “Capital Resources” in Item 7 for further details.
The service of process and enforcement of judgments against us or our directors or officers may be difficult.
We are a Bermuda company and some of our officers and directors are residents of various jurisdictions outside the U.S. All or a substantial portion of our assets and the assets of those persons may be located outside the U.S. As a result, it may be difficult for investors to effect service of process within the U.S. upon those persons or to recover against us or those persons on judgments of U.S. courts based on civil liabilities provisions of the U.S. federal securities laws even though we have appointed National Registered Agents, Inc., New York, New York, as our agent for service of process with respect to actions based on offers and sales of securities made in the U.S. Because there is no treaty in effect between the U.S. and Bermuda providing for reciprocal recognition and enforcement of judgments of U.S. courts in civil and commercial matters, a final judgment for the payment of money rendered by a court in the U.S. based on civil liability, whether or not predicated solely upon the U.S. federal securities laws, would not be automatically enforceable in Bermuda, and there are grounds upon which Bermuda courts may not enforce judgments of U.S. courts. Further, no claim may be brought in Bermuda against us or our directors and officers for violation of U.S. federal securities laws, as such laws do not have force of law in Bermuda. A Bermuda court may, however, impose civil liability on us or our directors and officers in a suit brought in the Supreme Court of Bermuda if the facts alleged in the complaint constitute or give rise to a cause of action under Bermuda law.
Our international business is subject to applicable laws and regulations relating to sanctions and foreign corrupt practices, the violation of which could adversely affect our operations.
We must comply with all applicable economic sanctions and anti-bribery laws and regulations of the U.S. and other foreign jurisdictions where we operate, including the U.K., Ireland and the EU. U.S. laws and regulations applicable to us include the economic trade sanctions laws and regulations administered by the Treasury’s Office of Foreign Assets Control as well as


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certain laws administered by the U.S. Department of State. New sanction regimes may be initiated, or existing sanctions expanded, at any time, which can immediately impact our business activities. In addition, we are subject to the Foreign Corrupt Practices Act and other anti-bribery laws such as the U.K. Bribery Act that generally bar corrupt payments or unreasonable gifts to foreign governments or officials. Although we have policies and controls in place that are designed to ensure compliance with these laws and regulations, it is possible that an employee or intermediary could fail to comply with applicable laws and regulations. In such event, we could be exposed to civil penalties, criminal penalties and other sanctions, including fines or other punitive actions. In addition, such violations could damage our business and/or our reputation. Such criminal or civil sanctions, penalties, other sanctions, and damage to our business and/or reputation could have a material adverse effect on our financial condition and results of operations.
Risk Relating to Our Shares
The market price of our common shares may experience volatility, thereby causing a potential loss of value to our investors.
The market price for our common shares may fluctuate substantially and could cause investment losses. The price of our common shares may not remain at or exceed current levels. In addition to the risk factors described herein, the following factors may have an adverse impact on the market price for our common shares: announcements by us or our competitors of acquisitions, investments or strategic alliances; changes in the value of our assets; our actual or anticipated quarterly and annual operating results; changes in expectations of future financial performance or changes in estimates of securities analysts; issuances by us of shares or other securities; sales, or the possibility or perception of future sales, by our existing shareholders; our share repurchase program; changes in general conditions in the economy, the insurance industry or the financial markets; changes in market valuation of companies in the insurance and reinsurance industry; fluctuations in stock market processes and volumes; the addition or departure of key personnel; changes in tax law; and adverse press or news announcements affecting us or the industry.
General market conditions and unpredictable factors could adversely affect market prices for our outstanding preferred shares.
There can be no assurance about the market prices for our series of preferred shares that are traded publicly. Several factors, many of which are beyond our control, will influence the fair value of our preferred shares, including, but not limited to:
whether dividends have been declared and are likely to be declared on any series of our preferred shares from time to time;
our creditworthiness, financial condition, performance and prospects;
whether the ratings on any series of our preferred shares provided by any ratings agency have changed;
the market for similar securities; and
economic, financial, geopolitical, regulatory or judicial events that affect us and/or the insurance or financial markets generally.
Dividends on our preferred shares are non-cumulative.
Dividends on our preferred shares are non-cumulative and payable only out of lawfully available funds of Arch Capital under Bermuda law. Consequently, if Arch Capital's board of directors (or a duly authorized committee of the board) does not authorize and declare a dividend for any dividend period with respect to any series of our preferred shares, holders of such preferred shares would not be entitled to receive any such dividend, and such unpaid dividend will not accrue and will never be payable. Arch Capital will have no obligation to pay dividends for a dividend period on or after the dividend payment date for such period if its board of directors (or a duly authorized committee of the board) has not declared such dividend before the related dividend payment date; if dividends on our series E or series F preferred shares are authorized and declared with respect to any subsequent dividend period, Arch Capital will be free to pay dividends on any other series of preferred shares and/or our common shares. In the past, we have not paid dividends on our common shares.
Our preferred shares are equity and are subordinate to our existing and future indebtedness.
Our preferred shares are equity interests and do not constitute indebtedness. As such, these preferred shares will rank junior to all of our indebtedness and other non-equity claims with respect to assets available to satisfy our claims, including in our liquidation. As of December 31, 2019, our total long-term debt was $1.73 billion, excluding the ‘other’ segment. We may incur additional debt in the future. Our existing and future indebtedness may restrict payments of dividends on our preferred shares. Additionally, unlike indebtedness, where principal and interest would customarily be payable on specified due dates, in the case of preferred shares, (1) dividends are payable only if declared by the board of directors of Arch Capital (or a duly authorized committee of the board) and (2) as described under “Risks Relating to Our Company—Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries,” we are subject to certain regulatory and other constraints affecting our ability to pay dividends and make other payments.


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The voting rights of holders of our preferred shares are limited.
Holders of our preferred shares have no voting rights with respect to matters that generally require the approval of voting shareholders. The limited voting rights of holders of our preferred shares include the right to vote as a class on certain fundamental matters that affect the preference or special rights of our preferred shares as set forth in the certificate of designations relating to each series of preferred shares. In addition, if dividends on our series E or series F preferred shares have not been declared or paid for the equivalent of six dividend payments, whether or not for consecutive dividend periods, holders of the outstanding series E or series F preferred shares will be entitled to vote for the election of two additional directors to our board of directors subject to the terms and to the limited extent as set forth in the certificate of designations relating to such series of preferred shares.
There is no limitation on our issuance of securities that rank equally with or senior to our preferred shares.
We may issue additional securities that rank equally with or senior to our series E and series F preferred shares without limitation. The issuance of securities ranking equally with or senior to our preferred shares may reduce the amount available for dividends and the amount recoverable by holders of such series in the event of a liquidation, dissolution or winding-up of Arch Capital.
Risks Relating to Taxation
We and our non-U.S. subsidiaries may become subject to U.S. federal income taxation and/or the U.S. federal income tax liabilities of our U.S. subsidiaries may increase, including as a result of changes in tax law.
The continuing implementation of the Tax Cuts Act may have a material and adverse impact on our operations and financial condition.
Proposed Treasury Regulations issued on January 24, 2022, if finalized in their current form, could (on prospective basis) cause our U.S. shareholders (including tax-exempt U.S. shareholders) to be subject to current U.S. federal income tax on the portion of our earnings attributable to certain intercompany reinsurance income (whether or not such income is distributed).
We may become subject to taxes in Bermuda after March 31, 2035, which may have a material adverse effect on our results of operations.
The impact of Bermuda's letter of commitment to the OECD to eliminate harmful tax practices is uncertain and could adversely affect our tax status in Bermuda.
Legislation enacted in Bermuda as to Economic Substance may affect our operations.
We may become subject to increased taxation in Bermuda and other countries as a result of the OECD's plan on “Base erosion and profit shifting.”
Application of the EU Anti-Tax Avoidance Directives.
Risks Relating to Our Industry, Business and Operations
We operate in a highly competitive environment, and we may not be able to compete successfully in our industry.
The insurance and reinsurance industry is highly competitive. We compete on an international and regional basis with major U.S. and non-U.S. insurers and reinsurers, many of which have greater financial, marketing and management resources than we do. See “Competition” in Item 1 for details on our competitors in each of the major segments we operate in. There has been significant consolidation in the insurance and reinsurance sector in recent years and we may experience increased competition as a result of that consolidation, with consolidated entities having enhanced market power. These consolidated entities may use their enhanced market power and broader capital base to negotiate price reductions for products and services that compete with ours, and we may experience rate declines and possibly write less business. We also compete on the basis of product offerings and other factors, such as our approach to ESG, and customers may be drawn to our competitors based on these factors. Any failure by us to effectively compete could adversely affect our financial condition and results of operations.
The insurance and reinsurance industry is highly cyclical, and we may at times experience periods characterized by excess underwriting capacity and unfavorable premium rates.
Historically, insurers and reinsurers have experienced significant fluctuations in operating results due to competition, frequency of occurrence or severity of catastrophic events, levels of capacity, general economic conditions, inflation, changes in equity, debt and other investment markets, changes in legislation, case law and prevailing concepts of liability and other factors. Demand for reinsurance is influenced significantly by the underwriting results of primary insurers and prevailing general economic conditions. The supply of insurance and reinsurance is related to prevailing prices and levels of surplus capacity that, in turn, may fluctuate in response to changes in rates of return being realized in the insurance and reinsurance industry on both underwriting and investment sides. As a result, the insurance and reinsurance business historically has been a cyclical industry characterized by periods of intense price competition due to excessive underwriting capacity as well as periods when shortages of capacity permitted favorable premium levels and changes in terms and conditions. Until recently, the supply of insurance and reinsurance had increased over the past several years, and may again in the future, either as a result of capital provided by new entrants or by the commitment of additional capital by existing insurers or reinsurers. Continued increases in the supply of insurance and reinsurance may have consequences for us, including fewer contracts written, lower premium rates, increased expenses for customer acquisition and retention, and less favorable policy terms and conditions.

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The effects of inflation and global recessionary conditions impact the insurance and reinsurance industry in ways which may negatively impact our business, financial condition and results of operations.
General economic inflation has increased in recent quarters and may continue to remain at elevated levels for an extended period of time. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, for the development of inflationary pressures in a local economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business. In addition, governmental actions in response to inflationary pressures, such as increasing interest rates, may have a material impact on the market value of our investment portfolio. While we consider the anticipated effects of inflation in our pricing models, reserving processes and exposure management across all lines of business and types of loss including natural catastrophe events, the actual effects of inflation on our results cannot be accurately known until claims are settled. In addition, there are different types of inflation relevant to certain lines of business, the impact of which is difficult to accurately assess at this time. For example, in our mortgage business, the failure of general wages to keep pace with economic inflation, or increases in unemployment due to prolonged recessionary conditions, could prevent borrowers from being able to afford their mortgage payments and thereby increase the frequency of claims beyond our modeled results. Global recessionary conditions, including inflation, the slow recovery of certain sectors from the pandemic, predicted slow growth rates across key markets and other factors, will impact the insurance and reinsurance industry. There is great uncertainty around how severe and how long a recession will last on a global and local basis. While our risk management and business strategy take recessionary conditions into account, we cannot accurately predict the full impact of a recession on our results of business operations.
Claims for natural and man-made catastrophic events could cause large losses and substantial volatility in our results of operations and could have a material adverse effect on our financial position and results of operations.
We have large aggregate exposures to natural and man-made catastrophic events. Natural catastrophes can be caused by various events, including hurricanes, floods, wildfires, tsunamis, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. The frequency and severity of natural catastrophe activity has also been greater in recent years due to climate change caused in part by human actions and other related factors. Catastrophic events caused by humans may include acts of war, acts of terrorism and political instability. Catastrophes can cause losses in non-property business such as workers’ compensation or general liability. In addition to
the nature of the property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration tend to generally increase the size of losses from catastrophic events over time. Actual losses from future catastrophic events may vary materially from estimates due to the inherent uncertainties in making such determinations resulting from several factors, including the potential inaccuracies and inadequacies in the data provided by clients, brokers and ceding companies, the modeling techniques and the application of such techniques, the contingent nature of business interruption exposures, the effects of any resultant demand surge on claims activity and attendant coverage issues. In estimating our losses from catastrophic events our considerations can include factors such as overall market losses, additional claims information from our clients, multiple model views and proprietary scenario testing.
The impact of the COVID-19 pandemic, the shift to a COVID-19 endemic approach and related risks could materially affect our results of operations, financial position and/or liquidity.
The COVID-19 pandemic resulted in a global slowdown of economic activity and disruption of normal business travel and working habits. While we are shifting to a COVID-19 endemic approach, there is still uncertainty about the impact of COVID-19 variants in the long-term. The COVID-19 pandemic impacted our results of operations and a reversion to the COVID-19 restrictions could have a significant effect on our future business, results of operations and financial performance. We may experience higher levels of loss and claims activity in certain lines of business, and our premiums written and earned could also be adversely affected by a suppression of global commercial activity that results in a reduction in insurable assets and other exposure. The pandemic initially resulted in a sharp contraction in the global economy, tightening liquidity and increasing volatility and uncertainty in the capital markets. Coincident global mitigation responses stabilized markets and stimulated economic recovery. During the second quarter of 2020, pandemic-driven dislocations had a negative effect on the performance of our investment portfolio, after which valuations recovered. Continued macroeconomic volatility may persist affecting our businesses and related market opportunities. Certain lines of our business may require additional forms of collateral in the event of a decline in the fair value of securities and benchmarks to which those repayment mechanisms are linked. The impact of an ongoing pandemic on the financial markets may also adversely affect our ability to fund through public or private equity offerings, debt financings, and through other means at acceptable terms.

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The impact of climate change will affect our loss limitation methods, such as the purchase of third party reinsurance and catastrophe risk modeling and risk selection in ways which may adversely impact our business, financial condition and results of operations.
Changing weather patterns and climatic conditions, such as global warming, have added to the unpredictability, severity and frequency of natural disasters. Uncertainty about complexities of climate change affects our ability to assess with certainty the full impact of climate change and creates uncertainty about future trends and exposures. Although the loss experience of catastrophe insurers and reinsurers has historically been characterized as low frequency, climate change has impacted the frequency and severity of extreme weather events and natural catastrophes such as hurricanes, tornado activity, other windstorms, floods and wildfires in recent years and may continue to increase in the future.
Claims for catastrophic events, or an unusual frequency of smaller losses in a particular period, could expose us to large losses, cause substantial volatility in our results of operations and could have a material adverse effect on our ability to write new business if we are not able to adequately assess and reserve for the increased frequency and severity of catastrophes resulting from these environmental factors. Climate change and increasing catastrophic events could increase property damage to residential real estate secured by mortgages owned by the GSEs, and by extension could increase losses to CRT investors. Additionally, climate change may make modeled outcomes less certain or produce new, non-modeled risks. Additionally, catastrophic events could result in increased credit exposure to reinsurers and other counterparties we transact business with, declines in the value of investments we hold and significant disruptions to our physical infrastructure, systems and operations. Climate change-related risks may also specifically adversely impact the value of the securities that we hold. The effects of climate change could also lead to increased credit risk of other counterparties we transact business with, including reinsurers.
Changes in security asset prices may impact the value of our fixed income, real estate and commercial mortgage investments, resulting in realized or unrealized losses on our invested assets. These risks are not limited to, but can include: (i) changes in supply/demand characteristics for fossil fuels (e.g., coal, oil, natural gas); (ii) advances in low-carbon technology and renewable energy development; and (iii) effects of extreme weather events on the physical and operational exposure of industries and issuers, and the transition that these companies make towards addressing climate risk in their own businesses.
We attempt to manage our exposure to these risks relating to climate change through the use of underwriting controls,
proprietary and third-party risk models, and the purchase of third-party reinsurance. Underwriting controls can include more restrictive underwriting criteria such as higher premiums and deductibles, reduction in limits offered or losses retained, and more specifically excluded policy risks. Our exposure in connection with a catastrophic event is determined by market capacity, pricing conditions, regulatory capital requirements, our perceptions of underlying risk and surplus preservation. There can be no assurance that our reinsurance coverage and other measures taken will be sufficient to mitigate losses resulting from one or more catastrophic events. As a result, the occurrence of one or more catastrophic events and the continuation and worsening of recent trends could have an adverse effect on our results of operations and financial condition.
Our insurance and reinsurance subsidiaries are subject to supervision and regulation. Changes to existing regulation and supervisory standards, or failure to comply with applicable requirements, could adversely affect our business and results of operation.
Our insurance and reinsurance subsidiaries conduct business globally and are subject to varying degrees of regulation in the various jurisdictions in which they conduct business, including by state, federal and national insurance regulators. The purpose of insurance laws and regulations generally is to protect policyholders and ceding insurance companies, not our shareholders. See “Regulation” in Item 1.
We may not be able to comply fully with, or obtain appropriate exemptions from, these statutes and regulations, which could result in restrictions on our ability to do business or undertake activities that are regulated in one or more of the jurisdictions in which we conduct business and could subject us to fines and other sanctions. Regulatory authorities also may seek to exercise their supervisory or enforcement authority in new or more extensive ways, such as imposing increased capital requirements. These actions, if they occur, could affect the competitive market and the way we conduct our business and manage our capital and could result in lower revenues and higher costs. As a result, such actions could have a material effect on our results of operations and financial condition.
We are subject to ongoing legal and policy actions around climate change which may result in implications or additional requirements which could prompt us to shift our risk selection and business strategy in ways which may adversely impact our results of operations.
Governments, regulators, legislators and influential non-governmental organizations continue to focus on enacting laws, regulations and other requirements relating to climate change. We are subject to some of these changing laws, regulations and public policy debates, which are difficult to

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predict and quantify and may have an adverse impact on our business. Legislative and regulatory initiatives and court decisions following major catastrophes could force expansion of certain insurance coverages for catastrophe claims or otherwise adversely impact our business. Additionally, changes in regulations or policies relating to climate change or our own leadership decisions implemented as a result of assessing the impact of climate change on our business may result in an increase in the cost of doing business, or a decrease in premiums in certain lines of business.
Our efforts to address these exposures are based in part on the outcomes of our loss mitigation measures and risk modeling, our financial results of operations and our communications with our customers and shareholders. We also continue to monitor changes across our industry and geographies and the Board considers these exposures regularly. We may make strategic business decisions to address or respond to some of the legal and policy changes relating to climate change, but there is no assurance that these decisions will adequately address these exposures or that they will not result in a material adverse effect on our results of operations, financial condition or share price.
The Russian invasion of Ukraine has created global instability and also resulted in the imposition of sanctions by the U.S., U.K. and EU on Russia and Russia-related businesses.
The Russian invasion of Ukraine and ongoing hostilities have created a high level of uncertainty as well as disruption in certain sectors of the global economy. It is impossible to predict whether Russia will expand hostilities to other countries in Europe or elsewhere. A further prolonged war may also create uncertainty in the global economy in the form of oil shortages, inflationary pressures, loss of confidence and general increase in risks worldwide. In response to this aggression, the governments of the U.S., U.K., EU and other countries have implemented several sanctions programs relating to, among other things, the import and transportation of Russian oil and gas and other goods originating in Russia. Certain lines of business we write have been impacted by the sanctions, such as the marine and energy lines of business, although the extent of the impact will depend on the outcome of the war in Ukraine and the nature of future sanctions packages.
Our customers and policyholders may also be impacted by regulatory, technological, market or other risks relating to climate change in ways which we cannot predict with certainty and adversely impact our results of operations.
Our policyholders and customers are located primarily in countries and regions, such as the U.S., U.K. and EU, where there are regulatory, policy, legal and technological changes resulting from actions relating to climate change. In some
cases, those policyholders and customers may not be able to shift their business strategies or adjust adequately to these changes, and their businesses may be negatively impacted or, in some cases, cease to exist. As a result, our results of operations may be impacted by the loss of those customers or a shift in their patterns or levels of insurance coverage in ways we cannot predict.
As we continue to incorporate climate change in our business strategy, we cannot be certain that shareholders, investors and other influential environmental groups will agree with our approach, which may adversely impact our ability to raise funds in the capital markets, our share price and our results of operations.
Shareholders and investors have placed increased importance on how we are addressing ESG issues.ESG encompass a wide range of issues, including climate change and other environmental risks. Our leadership and Board are actively engaged in understanding the ever-changing ESG landscape and assessing our business operations to ensure that our business strategy reflects our values, that our success depends on our commitment to a diverse workforce, an informed and active dialogue about ESG issues with our customers and shareholders and the strength of our ERM framework. We cannot predict whether our business decisions, business strategy and disclosures relating to climate change and other ESG issues will meet the expectations or particular requirements of certain key institutional shareholders in particular.We may be adversely impacted if shareholders or investors do not agree with, or are not satisfied with, our business strategy and approach to climate change and decide to sell or not purchase our equity or debt instruments or to publicize their dissatisfaction.
Governmental, regulatory and rating actions in response to the COVID-19 pandemic have impacted us, and the continuation or reinstatement of such actions may adversely affect our financial performance.
Actions of the federal, state and local government in the U.S. and other countries where we do business, to address and mitigate the impact of COVID-19 impacted us. While many of those actions have expired, been repealed or removed, it is difficult to predict whether such legislative bodies may choose to reintroduce legislation relating to the pandemic or continue to update existing regulations. For example, we are potentially subject to legislative and/or regulatory action that seeks to retroactively mandate coverage for losses which our insurance policies were not designed or priced to cover. There is proposed legislationin some states to require insurers to cover business interruption claims retroactively irrespective of terms, exclusions or other conditions included in the policies that would otherwise preclude coverage. Some proposed bills would require policies providing business

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interruption coverage to cover losses prospectively for pandemic-related losses. Insurance regulators in some states will not approve policy exclusions for losses from COVID-19, viruses or pandemics. In addition, a number of states have instituted, and other states are considering instituting, changes designed to effectively expand workers' compensation coverage by creating presumptions of compensability of claims for certain types of workers. Regulatory restrictions or requirements could also impact pricing, risk selection and our rights and obligations with respect to our policies and insureds, including our ability to cancel policies, our ability to increase rates or our right to collect premiums. Some state regulators have issued orders to review insurers’ rates and prevent rate increases, and regulators in other states could take similar actions. It is also possible that changes in economic conditions and steps taken by federal, state and local governments in response to COVID-19 could require an increase in taxes at the federal, state and local levels, which would adversely impact our results of operations.
Mortgage defaults related to the pandemic, if not cured, could remain in our defaulted loan inventory for a protracted period of time including due to forbearance programs and foreclosure moratoria, potentially resulting in higher frequency (claim rate) and severity (amount of the claim) for those loans that ultimately result in a claim. Accordingly, extended or extensive forbearance programs, foreclosure moratoria and other changes in regulations or laws may adversely impact our mortgage insurance operations.
In addition, the rating agencies continually review the financial strength ratings assigned to the Company and its subsidiaries, and the ratings are subject to change. The COVID-19 pandemic and its impact on financial results and condition, could cause one or more of the rating agencies to downgrade the ratings assigned to the Company and its subsidiaries. The pandemic has resulted, and may continue to result, in a material increase in new defaults as borrowers fail to make timely payments on their mortgages, including as a result of increases in unemployment and entering mortgage forbearance programs that allow borrowers to defer mortgage payments, which may have an adverse impact on our results or operations.
We could face unanticipated losses from war, terrorism, cyber attacks, pandemics and political instability, and these or other unanticipated losses could have a material adverse effect on our financial condition and results of operations.
We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism, pandemics similar to the COVID-19 pandemic, political instability and social unrest. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or
estimate the amount of loss any given occurrence will generate. In certain instances, we specifically insure and reinsure risks resulting from acts of terrorism. We may also insure against risk related to cybersecurity and cyber attacks. In addition, our exposure to cyber attacks includes exposure to ‘silent cyber’ risks, meaning risks and potential losses associated with policies where cyber risk is not specifically included nor excluded in the policies. Even in cases where we attempt to exclude losses from terrorism, cybersecurity and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will not limit enforceability of policy language or otherwise issue a ruling adverse to us. Accordingly, while we believe our reinsurance programs, together with the coverage provided under the Terrorism Risk Insurance Act of 2002, as amended (“TRIP”) are sufficient to reasonably limit our net losses relating to potential future terrorist attacks, we can offer no assurance that our available capital will be adequate to cover losses when they materialize. To the extent that an act of terrorism is certified by the Secretary of the Treasury and aggregate industry insured losses resulting from the act of terrorism exceeds the prescribed program trigger, our U.S. insurance operations may be covered under TRIP for up to 80% subject to (i) a mandatory deductible of 20% of our prior year’s direct earned premium for covered property and liability coverages, and (ii) an industry aggregate retention of $37.5 billion. The program trigger for calendar year 2022 and any program year thereafter through 2027 is $200 million. If an act (or acts) of terrorism result in covered losses exceeding the $100 billion annual limit, insurers with losses exceeding their deductibles will not be responsible for additional losses. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events, and to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected.
Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.
Our success is dependent upon our ability to assess accurately the risks associated with the businesses that we insure and reinsure. We establish reserves for losses and loss adjustment expenses which represent estimates based on actuarial and statistical projections, at a given point in time, of our expectations of the ultimate future settlement and administration costs of losses incurred. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of loss reserves. Most or all of these factors are not directly quantifiable, particularly on a prospective basis, and the effects of these and unforeseen factors could negatively impact our ability to accurately assess the risks of the policies that we write. Changes in the assumptions used

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by these models or by management could lead to an increase in our estimate of ultimate losses in the future. In addition, there may be significant reporting lags between the occurrence of the insured event and the time it is reported to the insurer and additional lags between the time of reporting and final settlement of claims. In addition, the estimation of loss reserves is more difficult during times of adverse economic and market conditions due to unexpected changes in behavior of claimants and policyholders, including an increase in fraudulent reporting of exposures and/or losses, reduced maintenance of insured properties or increased frequency of small claims. Changes in the level of inflation also result in an increased level of uncertainty in our estimation of loss reserves. As a result, actual losses and loss adjustment expenses paid can deviate, perhaps substantially, from the reserve estimates reflected in our financial statements.
If our loss reserves are determined to be inadequate, we will be required to increase loss reserves at the time of such determination with a corresponding reduction in our net income in the period when the deficiency becomes known. It is possible that claims in respect of events that have occurred could exceed our claim reserves and have a material adverse effect on our results of operations, in a particular period, or our financial condition in general. As a compounding factor, although most insurance contracts have policy limits, the nature of property and casualty insurance and reinsurance is such that losses and the associated expenses can exceed policy limits for a variety of reasons and could significantly exceed the premiums received on the underlying policies, thereby further adversely affecting our financial condition.
As of December 31, 2022, our consolidated reserves for unpaid losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable, were approximately $13.8 billion. Such reserves were established in accordance with applicable insurance laws and GAAP. Loss reserves are inherently subject to uncertainty. In establishing the reserves for losses and loss adjustment expenses, we have made various assumptions relating to the pricing of our reinsurance contracts and insurance policies and have also considered available historical industry experience and current industry conditions. Any estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2022.
The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.
We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. For our U.S. mortgage insurance business, in addition to utilizing reinsurance, we have developed a proprietary risk model that simulates the maximum probable loss resulting from a severe economic event impacting the housing market. We also seek to limit our loss exposure by geographic diversification, including by pricing adjustments in our U.S. mortgage insurance business. Geographic pricing decisions and zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone’s limits. Various provisions of our policies, negotiated to limit our risk, such as limitations or exclusions from coverage or choice of forum, may not be enforceable in the manner we intend, as it is possible that a court or regulatory authority could nullify or void an exclusion or limitation, or legislation could be enacted modifying or barring the use of these exclusions and limitations. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic events or severe economic events could result in claims that substantially exceed our expectations, or the protections set forth in our policies could be voided, which, in either case, could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders’ equity. In addition, factors such as global climate change limit the value of historical experience and therefore further limit the effectiveness of our loss limitation methods. See “Catastrophic Events and Severe Economic Events” in Item 7 for further details. Depending on business opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage insurance portfolio, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business.

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The availability of reinsurance, retrocessional coverage and capital market transactions to limit our exposure to risks may be limited, and counterparty credit and other risks associated with our reinsurance arrangements may result in losses which could adversely affect our financial condition and results of operations.
We manage risk using reinsurance, retrocessional coverage and capital markets transactions. Our insurance subsidiaries typically cede a portion of their premiums through pro rata, excess of loss and facultative reinsurance agreements. Our reinsurance subsidiaries purchase a limited amount of retrocessional coverage as part of their aggregate risk management program. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance subsidiaries, and the ceding company. Economic conditions, including but not limited to recessionary conditions, inflation, declining home prices or the impact of climate change could also have a material impact on our ability to manage our risk aggregations through reinsurance or capital markets transactions. As a result of these factors, we may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements.
Further, we are subject to credit risk with respect to our reinsurance and retrocessions because the ceding of risk to reinsurers and retrocessionaires does not relieve us of our liability to the clients or companies we insure or reinsure. We monitor the financial condition of our reinsurers and attempt to place coverages only with carriers we view as substantial and financially sound. An inability of our reinsurers or retrocessionaires to meet their obligations to us could have a material adverse effect on our financial condition and results of operations. Our losses for a given event or occurrence may increase if our reinsurers or retrocessionaires dispute or fail to meet their obligations to us or the reinsurance or retrocessional protections purchased by us are exhausted or are otherwise unavailable for any reason. In certain instances, we also require collateral to mitigate our credit risk to our reinsurers or retrocessionaires. We are at risk that losses could exceed the collateral we have obtained. Our failure to establish adequate reinsurance or retrocessional arrangements or the failure of our existing reinsurance or retrocessional arrangements to protect us from overly concentrated risk exposure could adversely affect our financial condition and results of operations.
We could be materially adversely affected to the extent that important third parties with whom we do business do not adequately or appropriately manage their risks, commit fraud or otherwise breach obligations owed to us.
For certain lines of our insurance business, we authorize managing general agents, general agents and other producers to write business on our behalf within underwriting authorities prescribed by us. In addition, our mortgage group delegates the underwriting of a significant percentage of its primary new insurance written to certain mortgage lenders. Under this delegated underwriting program, the approved customer may determine whether mortgage loans meet our mortgage insurance program guidelines and commit us to issue mortgage insurance. We rely on the underwriting controls of these agents to write business within the underwriting authorities provided by us. Although we have contractual protections in some instances and we monitor such business on an ongoing basis, our monitoring efforts may not be adequate or our agents may exceed their underwriting authorities or otherwise breach obligations owed to us. In addition, our agents, our insureds or other third parties may commit fraud or otherwise breach their obligations to us. Our financial condition and results of operations could be materially adversely affected by any one of these issues.
While we conduct underwriting, financial, claims and information technology due diligence reviews and apply rigorous standards in the selection of these counterparties, there is no assurance they have provided us accurate or complete information to assess their risk or that they can manage effectively their own risks. The counterparties are also subject to the same global increase in cyber incidents, including ransomware, and we cannot offer assurances that these counterparties have sufficient technical and organizational controls to mitigate these risks. Consequently, we assume a degree of credit and operational risk of those parties, and a material failure to manage their risks may result in material losses or damage to us.
Emerging claim and coverage issues, including issues relating to the COVID-19 pandemic, may adversely affect our business.
As industry practices and legal, social and other environmental conditions change, unexpected and unintended issues related to claims and coverage may emerge, including new or expanded theories of liability. These or other changes could impose new financial obligations on us by extending coverage beyond our underwriting intent or otherwise require us to make unplanned modifications to the products and services that we provide, or cause the delay or cancellation of products and services that we provide. In some instances, these changes may not become apparent until sometime after we have issued insurance or reinsurance contracts that are

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affected by the changes. As a result, the full extent of liability under our insurance or reinsurance contracts may not be known for many years after a contract is issued. The effects of unforeseen developments or substantial government intervention could adversely impact us.
While we had exposure to a number of lines of business, such as trade credit, travel, workers compensation and property where business interruption coverage under a pandemic such as COVID-19 was at issue, the number of claims in this area has decreased greatly in 2022. In May 2020, FCA commenced court proceedings against a number of insurance companies, including Arch Insurance (U.K.), to test how certain business interruption insurance policies respond to claims arising from COVID-19. The High Court in September 2020 handed down its judgment which, found in favor of policyholders on the majority of the key coverage issues in the representative sample of policies submitted by the defendants. Appeals were filed by six insurers, including Arch Insurance (U.K.), and in January 2021, the Supreme Court in the U.K. broadly confirmed the High Court’s rulings on the business wordings. The impact of this case on Arch Insurance (U.K.)’s results of operations has been modest, and no further litigation has flowed from it that has significantly impacted Arch Insurance (U.K.). Whilst the judgment amended the law in some respects (namely the tests for causation in English litigation), to date this has not had a significant impact on Arch Insurance (U.K.) claims and it is not anticipated to do so, however this cannot be ruled out entirely. See “Risks Relating to Our Mortgage Operations” for further details on our mortgage operations.
Acquisitions, the addition of new lines of insurance or reinsurance business, expansion into new geographic regions and/or entering into joint ventures or partnerships expose us to risks.
We may seek, from time to time, to acquire other companies, acquire selected blocks of business, expand our business lines, expand into new geographic regions and/or enter into joint ventures or partnerships. Such activities expose us to challenges and risks, including: integrating financial and operational reporting systems; establishing satisfactory budgetary and other financial controls; funding increased capital needs, overhead expenses or cash flow shortages that may occur if anticipated sales and revenues are not realized or are delayed, whether by general economic or market conditions or unforeseen internal difficulties; obtaining management personnel required for expanded operations; obtaining necessary regulatory permissions; and establishing adequate reserves for any acquired book of business. In addition, the value of assets acquired may be lower than expected or may diminish due to credit defaults or changes in interest rates; the liabilities assumed may be greater than expected; and assets and liabilities acquired may be subject to foreign currency exchange rate fluctuation. We may also be
subject to financial exposures in the event that the sellers of the entities or business we acquire are unable or unwilling to meet their indemnification, reinsurance and other contractual obligations to us. Our failure to manage successfully any of the foregoing challenges and risks may adversely impact our results of operations.
Our information technology systems may be unable to meet the demands of customers and our workforce.
Our information technology systems service our insurance portfolios. Accordingly, we are highly dependent on the effective operation of these systems. While we believe that the systems are adequate to service our insurance portfolios, there can be no assurance that they will operate in all manners in which we intend or possess all of the functionality required by customers currently or in the future.
Our customers, especially our mortgage insurance customers, require that we conduct our business in a secure manner, electronically via the Internet or via electronic data transmission. We must continually invest significant resources in establishing and maintaining electronic connectivity with customers. In order to integrate electronically with customers in the mortgage insurance industry, we require electronic connections between our systems and those of the industry's largest mortgage servicing systems and leading pricing and loan origination systems. Our mortgage group currently possesses connectivity with certain of these external systems, but there is no assurance that such connectivity is sufficient, and we are continually undertaking new electronic integration efforts with third-party loan servicing, pricing and origination systems. We also rely on electronic integrations in our insurance operations with third parties and customers. Inflation and supply chain issues for components to support our informational technology systems or those of our vendors pose risks which are beyond our control and may be difficult to manage.
Our business, financial condition and operating results may be adversely affected if we do not possess or timely acquire the requisite set of electronic integrations necessary to keep pace with the technological demands of customers. Additionally, attracting and retaining talented information technology employees who support our systems and those of our vendors has been challenging, although the recent easing of this trend may mitigate this risk.

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Technology failures and cyber attacks, including, but not limited to, ransomware, exploitation in software or code with malicious intent, state-sponsored cyber attacks, may impact us or our business partners and service providers, causing a disruption in service and operations which would negatively impact our business and/or expose us to litigation.
We rely on information technology systems to process, transmit, store and protect the electronic information, financial data and proprietary models that are critical to our business. Furthermore, a significant portion of the communications between our employees and our business partners and service providers depends on information technology and electronic information exchange. Like all companies, our information technology systems are vulnerable to data breaches, interruptions or failures due to events that may be beyond our control, including, but not limited to, natural disasters, power outages, theft, terrorist attacks, computer viruses, malicious actors, errors in usage or through social engineering or phishing and general technology failures.Security breaches by third parties could expose us to the loss or misuse of our information, litigation, financial losses and potential liability. In addition, cyber incidents that impact the availability, reliability, speed, accuracy or other proper functioning of these systems could have a significant negative impact on our operations and possibly our results.
We are dependent on certain third party technology service providers and other service providers to operate our business, notably major cloud providers, Software-as-a-Service (or SaaS) solutions, and on-premise software, including proprietary and open source solutions.We also outsource certain business process functions to third parties and may continue do so in the future. This practice exposes us to increased risks related to data security, service disruptions, supply chain issues or the effectiveness of our control system, which could result in our ability to conduct business operations, monetary and reputational damage or harm to our competitive position.
Cyber incidents or data breaches caused by bad actors or unintentional human error impacting data, including personal data, we maintain or use during our business operations may result in regulatory fines or action, reputation damage and a disruption in our business operations.
We collect, process and store data, including the personal data of our employees, customers and policyholders, as part of our business operations.While we believe we have effective technical and organizational measures in place to prevent, detect, manage and mitigate the impact of data breaches caused by malicious actors, systemic failures or human error, we cannot offer complete assurances that
significant data breaches will not occur.A cyber incident could also result in a violation of applicable privacy, data protection or other laws, damage our reputation, cause a loss of customers, adversely affect our stock price, cause us to incur remediation costs, increased insurance premiums, and/or give rise to monetary fines and penalties, any of which could adversely affect our business.
A downgrade in our ratings or our inability to obtain a rating for our operating insurance and reinsurance subsidiaries may adversely affect our relationships with clients and brokers and negatively impact sales of our products.
Similar to our competitors, a ratings downgrade or the potential for such a downgrade, or failure to obtain a necessary rating, could adversely affect our relationships with agents, brokers, wholesalers, intermediaries, clients and other distributors of our existing and new products and services. Some of the reinsurance agreements assumed by our reinsurance operations include provisions that a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, provide our ceding company clients certain rights, including, the right to terminate the subject reinsurance agreement and/or to require us to post additional collateral. Any ratings downgrade or failure to obtain a necessary rating could adversely affect our ability to compete in our markets, could cause our premiums and earnings to decrease and could have a material adverse impact on our financial condition and results of operations. In some cases, a downgrade in ratings of certain of our operating subsidiaries may constitute an event of default under our credit facilities.
We can offer no assurances that our ratings will remain at their current levels or that any of our ratings which are under review or watch by ratings agencies will remain unchanged. It is possible that rating agencies may modify their evaluation criteria, heighten the level of scrutiny they apply when analyzing companies in our industry, adjust upward the capital and other requirements employed in their models and/or discontinue credit and debt instruments or other structures deployed for maintenance of certain rating levels.We may need to raise additional funds through equity or debt financings. Any equity or debt financing, if available at all, may be on terms that are unfavorable to us. Equity financings could be dilutive to our existing shareholders and could result in the issuance of securities that have rights, preferences and privileges that are senior to those of our outstanding securities. If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected. See “Capital Resources” in Item 7 for further details.

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For further information on our financial strength and/or issuer ratings, see “Ratings” in Item 1. For further information on our letter of credit facilities, see the Letter of Credit and Revolving Credit Facilities section of “Contractual Obligations and Commercial Commitments” in Item 7.
Our ability to execute successfully our business strategy, continue to grow and innovate and offer our employees a dynamic and supportive workplace depends on the recruitment, retention and promotion of talented, agile, diverse and resilient employees at all levels of our organization.
With the easing of restrictions relating to the COVID-19 pandemic, we have adopted a hybrid work model in most of our offices with employees returning to the office for part of the work week. The pandemic impacted employee work models and, in some cases, also impacted employee workloads and attitudes about work. We provide a work environment and culture which reflects our goal to “Enable Possibility”. We offer flexible work arrangements, when possible, for our employees globally, as well as competitive compensation packages which include participation in our Employee Stock Purchase Plan and the possibility of equity awards at certain job levels. Over the past few years, we have also implemented and expanded our learning programs, career leveling and employee networks, all of which we believe will help us retain talent. Our leadership and Board promote the goals of building a diverse employee population and fostering an environment that allows us to fully leverage and engage that diversity as a competitive edge which benefits both our employees and our business. While our efforts to attract, develop and retain talented employees continues to be a top priority, current job market conditions present challenges for us and may adversely impact our ability to fully realize our business strategy.
Our success will depend on our ability to maintain and enhance effective operating procedures and internal controls and our ERM program.
We operate within an ERM framework designed to identify, assess and monitor our risks. We consider underwriting, reserving, investment, credit and operational risk in our ERM framework. Losses, reputational damage, regulatory fines and litigation are among the adverse impacts which can arise if we fail to operate an effective ERM framework. Operational risk and losses can result from, among other things, fraud, errors, failure to document transactions properly or to obtain proper internal authorization, failure to comply with regulatory requirements, information technology or information security failures and failure to train employees appropriately or adequately. We continuously enhance our operating procedures and internal controls to effectively support our business and our regulatory and reporting
requirements. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision making can be faulty, and that breakdowns can occur because of simple error or mistake or circumvention of controls. There can be no assurance that our control system will succeed in achieving its stated goals under all potential future conditions. Any ineffectiveness in our controls or procedures could have a material adverse effect on our business. For further information on our ERM framework, see “Enterprise Risk Management” in Item 1.
We are exposed to credit risk in certain of our business operations.
In addition to exposure to credit risk related to our investment portfolio, reinsurance recoverables and reliance on brokers and other agents, we are exposed to credit risk in other areas of our business related to policyholders. We are exposed to credit risk in our insurance group’s surety unit where we guarantee to a third party that our policyholder will satisfy certain performance or financial obligations. If our policyholder defaults, we may suffer losses and be unable to be reimbursed by our policyholder. We are also exposed to credit risk from policyholders on smaller deductibles in other insurance group lines, such as healthcare and excess and surplus casualty. Although we have not experienced any material credit losses to date, an increased inability of our policyholders to meet their obligations to us could have a material adverse effect on our financial condition and results of operations. See note 3, “Significant Accounting Policy.”
Our business is subject to applicable laws and regulations relating to economic trade sanctions and foreign bribery laws, the violation of which could adversely affect our operations.
We must comply with all applicable economic sanctions and anti-bribery laws and regulations of the U.S. and other foreign jurisdictions where we operate. U.S. laws and regulations applicable to us and others who provide insurance and reinsurance include the economic trade sanctions laws and regulations administered by the Treasury’s Office of Foreign Assets Control as well as certain laws administered by the U.S. Department of State. New sanction regimes may be initiated, or existing sanctions expanded, at any time, which can immediately impact our business activities. Since the Russian invasion of Ukraine in February 2022, there have been several sanctions packages imposed by the U.S., U.K. and EU which impact our business. The sanctions are complex, numerous and nuanced, requiring close review and assessment as they pertain to our business. We are also subject to the U.S. Foreign Corrupt Practices Act and other anti-bribery laws such as the U.K. Bribery Act that generally

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bar corrupt payments or unreasonable gifts to foreign governments or officials. Although we have policies and controls in place designed to ensure compliance with these laws and regulations, it is possible that an employee or intermediary could fail to comply with applicable laws and regulations. In addition, we may interpret a complex sanction in a way which may differ from a regulator. In these cases, we could be exposed to fines, criminal penalties and other sanctions. Such violations could limit our ability to conduct business and/or damage our reputation, resulting in a material adverse effect on our financial condition and results of operations.
New legislation or regulations relating to the U.K.’s Withdrawal from the EU could adversely affect us.
The U.K. ceased to be a member state of the European Union in January 2020. Although the EU and U.K. reached a limited agreement in relation to certain matters, U.K. insurers and reinsurers no longer have automatic access to EU markets and vice versa. Our U.K. domiciled entities and our Lloyd’s Syndicates may no longer “passport” within the EU and are now part of the U.K. temporary permissions regime which allows firms to operate in the U.K. for a limited period while they seek authorization from the U.K. regulators. We have implemented changes in our operations to accommodate Brexit; however we remain subject to new proposals and regulations which may negatively impact U.K. underwriting activities in respect of EU risks and policyholders.

Risks Relating to Financial Markets and Investments
Adverse developments in the financial markets could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital; our policyholders, reinsurers and retrocessionaires may also be affected by such developments, which could adversely affect their ability to meet their obligations to us.
Adverse developments in the financial markets, resulting from inflation, global recessionary pressures, geopolitical conflict, among other factors, has increased uncertainty levels and heightened volatility in the capital and credit markets. These developments may result in realized and unrealized losses on our investment portfolio that could have a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. More specifically, economic conditions could also have a material impact on the frequency and severity of claims and therefore could negatively impact our underwriting returns. In addition, our policyholders, reinsurers and retrocessionaires may be affected by developments in the financial markets, which could adversely affect their ability to meet their obligations to us. The volatility in the financial markets could continue to significantly affect our investment returns, reported results and shareholders’ equity.
The capital requirements of our businesses depend on many factors, including regulatory and rating agency requirements, the performance of our investment portfolio, our ability to write new business successfully, the frequency and severity of catastrophe events and our ability to establish premium rates and reserves at levels sufficient to cover losses.
Disruption to the financial markets and weak economic conditions resulting from situations such as post pandemic imbalances, inflation and geopolitical conflict may adversely and materially impact our investments, financial condition and results of operation.

Disruption in the financial markets and the downturn in global economic activity resulting from the geopolitical conflict, elevated financing rates, housing market declines or other macro-and micro-economic conditions could adversely affect the valuation of securities in our investment portfolio. Credit spread widening and/or equity market volatility could result in temporary or permanent impairment. Elevated levels of inflation could drive higher U.S. and global interest rates, negatively impacting asset prices, particularly in fixed income. In addition, a lack of pricing transparency, decreased market liquidity, the strengthening or weakening of foreign currencies against the U.S. Dollar, individually or in tandem, could have a material adverse effect on our results through realized losses, impairments and changes in unrealized positions in our investment portfolio. Furthermore, issuers of the investments we hold under the equity method of accounting report their financial information to us one month to three months following the end of the reporting period. Accordingly, the adverse impact of any disruptions in global financial markets on equity method income from these investments would likely not be reflected in our current quarter results and would instead be reported in the subsequent quarter.
Our operating results depend in part on the performance of our investment portfolio. A significant portion of cash and invested assets held by Arch consists of fixed maturities (72.1% as of December 31, 2022). Although our current investment guidelines and approach stress preservation of capital, market liquidity and diversification of risk, our investments are subject to market-wide risks and fluctuations. In addition, we are subject to risks inherent in particular securities or types of securities, as well as sector concentrations. We may not be able to realize our investment objectives, which could have a material adverse effect on our financial results. In the event that we are unsuccessful in calibrating the liquidity of our investment portfolio with our expected insurance and reinsurance liabilities, we may be forced to liquidate our investments at times and prices that are not optimal, which could have a material adverse effect on our financial results and ability to conduct our business.

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Foreign currency exchange rate fluctuation may adversely affect our financial results.
We write business on a worldwide basis, and our results of operations may be affected by fluctuations in the value of currencies other than the U.S. Dollar. The primary foreign currencies in which we operate are the Euro, the British Pound Sterling, the Australian Dollar and the Canadian Dollar. In order to minimize the possibility of losses we may suffer as a result of our exposure to foreign currency fluctuations in our net insurance liabilities, we invest in securities denominated in currencies other than the U.S. Dollar. In addition, we may replicate investment positions in foreign currencies using derivative financial instruments. Changes in the value of available-for-sale investments due to foreign currency rate movements are reflected as a direct increase or decrease to shareholders' equity and are not included in the statement of income.
Uncertainty relating to the determination of LIBOR and the phasing out and replacement of LIBOR with alternative benchmark rates may adversely impact us.
In order to mitigate the potential adverse effects on our cost of capital caused by the uncertainty of the timing and impact of the phase-out of LIBOR, we entered into certain amendments to our credit facilities in 2021 in order to replace the LIBOR-based benchmarks for borrowings and letters of credit denominated in British Pounds Sterling and Euros with the Sterling Overnight Index Average (“SONIA”) and the Euro Inter-bank Offered Rate (“EURIBOR”), respectively, as SONIA and EURIBOR have emerged as preferred alternative benchmarks with respect to certain indebtedness and other financial instruments denominated in these currencies. Similarly, in April 2022, we entered into an amendment to our credit facilities in order to replace the LIBOR-based benchmark for borrowings and letters of credit denominated in U.S. Dollars with a rate based on Secured Overnight Financing Rate (“SOFR”). However, there can be no assurance that these mitigation efforts will adequately protect against increases or volatility in our cost of capital. Although we believe we have taken appropriate measures to adjust to the replacement of LIBOR, the transition from LIBOR to SOFR and other alternative reference rates may adversely impact our investment portfolio, our cost of capital and our cost of issuing Bellemeade mortgage risk transfer securities and could require changes to our current asset liability strategies.
The determination of the amount of current expected CECL allowances taken on our investments is highly subjective and could materially impact our results of operations or financial position.
On a quarterly basis, we review our investments by applying an approach based on the CECL and whether declines in fair value below the cost basis requires an estimate of the expected credit loss. There can be no assurance that our management has accurately assessed the level of the credit loss allowance taken reflected in our financial statements. Furthermore, additional allowance may need to be taken or allowances provided for in the future. Further, rapidly changing and unpredictable credit and equity market conditions could materially affect the valuation of securities carried at fair value as reported within our consolidated financial statements and the period-to-period changes in value could vary significantly.
Our reinsurance subsidiaries may be required to provide collateral to ceding companies, by applicable regulators, their contracts or other commercial considerations. Their ability to conduct business could be significantly and negatively affected if they are unable to do so.
Arch Re Bermuda is a registered Bermuda insurance company and is not licensed or admitted as an insurer in any jurisdiction in the U.S., although Arch Re Bermuda has been approved as a “certified reinsurer” in certain U.S. states that allow reduced collateral for reinsurance ceded to such reinsurers. Arch Re Bermuda's contracts generally require it to post a letter of credit or provide other security, even in U.S. states where it has been approved for reduced collateral. State credit for reinsurance rules also generally provide that certified reinsurers such as Arch Re Bermuda must provide 100% collateral in the event their certified status is “terminated” or upon the entry of an order of rehabilitation, liquidation or conservation against a ceding insurer.
Although, to date, Arch Re Bermuda has not experienced any difficulties in providing collateral when required, if we are unable to post security in the form of letters of credit or trust funds when required, the operations of Arch Re Bermuda could be significantly and negatively affected.

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Risks Relating to Our Mortgage Operations
The ultimate performance of the Arch MI U.S. mortgage insurance portfolio remains uncertain.
The mix of business in our insured loan portfolio may affect losses. The presence of multiple higher-risk characteristics in a loan materially increases the likelihood of a claim on such a loan unless there are other characteristics to mitigate the risk. The mix of higher-risk loans, including affordable housing loans which often have higher-risk characteristics, could increase losses and harm our financial performance. The geographic mix of Arch MI U.S.’s business could increase losses and harm our financial performance.
Mortgage insurance premiums are set at the time coverage is procured, based in part on the expected duration of the coverage. We cannot cancel mortgage insurance coverage or adjust renewal premiums during the life of the policy. To the extent that the insured cancels coverage as a result of prior home price appreciation, the duration of coverage will be shorter, and we will receive less premium. Further, higher than anticipated claims generally cannot be offset by premium increases on policies in force or mitigated by our non-renewal or cancellation of insurance coverage. The premiums charged, and the associated investment income, may not be adequate to compensate us for the risks and costs associated with the insurance coverage provided to customers. A decrease in the amount of premium received or an increase in the number or size of claims, compared to what we anticipate, could adversely affect Arch MI U.S.’s results of operations and financial condition.
The frequency and severity of claims we incur is uncertain and will depend largely on general economic factors outside of our control, including, among others, changes in unemployment, home prices and interest rates in the U.S. Inflated home prices followed by a decline in home values could significantly decrease a borrower’s equity in their home, which would limit their ability to sell the property without incurring a loss, and could increase the frequency and severity of claims. Deteriorating economic conditions in the U.S., potentially due to prolonged recessionary conditions increasing levels of unemployment and inflation, could adversely affect the performance of our U.S. mortgage insurance portfolio and could adversely affect our results of operations and financial condition.
If the volume of low down payment mortgage originations declines, or if other government housing policies, practices or regulations change, the amount of mortgage insurance we write in the U.S. could decline, which would reduce our mortgage insurance revenues.
The size of the U.S. mortgage insurance market depends in large part upon the volume of low down payment home mortgage originations. Factors affecting the volume of low down payment mortgage originations include, among others: restrictions on mortgage credit due to stringent underwriting standards and liquidity issues affecting lenders; changes in mortgage interest rates and home prices, and other economic conditions in the U.S. and regional economies; population trends, including the rate of household formation; and U.S. government housing policy. Increases to mortgage interest rates have materially increased financing costs, and as a result may decrease the number of qualified borrowers and the volume of low down payment mortgage originations.
The private mortgage insurers’ principal government competitor is the Federal Housing Administration (“FHA”). Future changes to the FHA program, including any reduction to mortgage insurance premiums charged may negatively impact the amount of mortgage insurance we write in the U.S.
The Federal Housing Finance Agency (“FHFA”) as conservator of the GSEs continues to evaluate loan level price adjustments (“LLPAs”) assessed by the GSEs when purchasing loans. Effective on April 1, 2022, Fannie Mae and Freddie Mac increased upfront fees for “high-balance loans” (mortgages in excess of $647,000) and mortgages on second homes. On October 24, 2022, FHFA announced that the GSEs are eliminating upfront fees for certain first-time homebuyers, low-income borrowers, and underserved communities and is increasing fees for cash out refinance loans. On January 19, 2023, FHFA announced three new pricing grids that broadly adjusted pricing to GSE purchases. These, and future actions could cause a decline in the volume of low-down payment home mortgage purchases by the GSEs, could decrease demand for mortgage insurance, and could decrease our U.S. new insurance written and reduce mortgage insurance revenues.
On June 8, 2022, the FHFA announced the GSEs release of Fannie Mae's and Freddie Mac's Equitable Housing Finance Plans for 2022-2024. These plans are designed to foster housing finance markets that provide equitable access to affordable and sustainable housing, including through the use of special purpose credit programs (“SPCPs”). SPCPs are lending programs designed to expand access to credit among disadvantaged groups to address special social needs that exist today. The Consumer Finance Protection Bureau, the Department of Housing and Urban Development, and other federal agencies have issued guidance encouraging the use of

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SPCPs and providing assurances that properly structured SPCPs are permissible under federal law. New practices or programs implemented under the GSEs’ Equitable Housing Plans, may impact the underwriting and servicing standards on mortgages purchased by the GSEs and could increase the presence of multiple higher-risk characteristics in our insured loan portfolio. Further, the legal landscape applicable to SPCPs remains untested and loans originated under these programs could be subject to increased risk of private litigation or enforcement actions under state and federal law.
Changes to the role of the GSEs in the U.S. housing market or to GSE eligibility requirements for mortgage insurers could negatively impact our results of operations and financial condition, or reduce our operating flexibility.
Substantially all of Arch MI U.S.’s insurance written has been for loans sold to the GSEs. The charters of the GSEs require credit enhancement for low down payment mortgages to be eligible for purchase or guarantee by the GSEs. Any changes to the charters or statutory authorities of the GSEs would require congressional action to implement. If the charters of the GSEs were amended to change or eliminate the acceptability of private mortgage insurance, our mortgage insurance business could decline significantly.
In January 2021, the U.S. Department of Treasury (the “Treasury Department”) and FHFA announced an agreement to amend the preferred stock purchase agreements between the Treasury Department and the GSEs, originally entered into in September 2008, in order to, among other things, codify several existing FHFA conservatorship practices for the GSEs and outline a plan for the Treasury Department, in consultation with FHFA, to develop a proposal for continued GSE reform. If any GSE reform is adopted, whether through legislation or administrative action, it could impact the current role of private mortgage insurance as credit enhancement, including its reduction or elimination. Passage and timing of any comprehensive GSE reform or incremental change (legislative or administrative) is uncertain, making the actual impact on the mortgage insurance industry difficult to predict. Any such changes that come to pass could have a material adverse impact on the Company.
The PMIERs apply to Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company, which are GSE-approved mortgage insurers (“eligible mortgage insurers”). The PMIERs impose limitations on the type of risk insured, the forms and insurance policies issued, standards for the geographic and customer diversification of risk, acceptable underwriting practices, quality assurance, loss mitigation, claims handling, standards for certain reinsurance cessions and financial requirements, among other things. The financial requirements require a mortgage insurer’s available assets, which generally include only the most liquid assets, to meet or exceed “minimum required
assets” as of each quarter end. Arch MI U.S.’s minimum required assets under the PMIERs will be determined, in part, by the particular risk profiles of the loans it insures. If, absent other changes, Arch MI U.S.’s mix of business changes to include more loans with higher loan-to-value ratios or lower credit scores, it will have a higher minimum required asset amount under the PMIERs and, accordingly, be required to hold more capital in order to maintain GSE eligibility. Our eligible mortgage insurers each satisfied the PMIERs’ financial requirements as of December 31, 2022. While we intend to continue to comply with these requirements, there can be no assurance that the GSEs will not change the PMIERs or that Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company will continue as eligible mortgage insurers. If either or both of the GSEs were to cease to consider Arch Mortgage Insurance Company or United Guaranty Residential Insurance Company as eligible mortgage insurers and, therefore, cease accepting our mortgage insurance products, our results of operations and financial condition would be adversely affected.
The implementation of the Basel III Capital Accord and FHFA’s Enterprise Capital Rule may adversely affect the use of mortgage insurance and CRT opportunities.
With certain exceptions, the Basel III Rules became effective on January 1, 2014. In December 2017, the Basel Committee published final revisions to the Basel Capital Accord which is informally denominated in the U.S. as “Basel IV.” The Basel Committee expects the new rules to be fully implemented by January 2027. On September 9, 2022, the Federal banking agencies issued a statement reaffirming their commitment to implementing the 2017 revisions and stated that a request for public comment on new regulatory standards would be forthcoming. Under the Basel IV protocols, banks using the standardized approach for credit risk management will determine the risk-weight for residential mortgages based on the loan-to-value ratio at loan origination, without consideration of mortgage insurance. The U.S. regulatory agencies could determine that current U.S. rules for residential mortgages are “at least as stringent” as the Basel IV provisions, and therefore do not need to be modified. However, if U.S. regulators decide to adopt the Basel IV approach to mortgage assets, the capital relief benefits of mortgage insurance would be diminished, which could adversely affect the demand for mortgage insurance.
On December 17, 2020, the FHFA published a new capital framework for Fannie Mae and Freddie Mac that significantly increases minimum capital requirements for these GSEs. The new rule requires each GSE to maintain both higher minimum capital ratios and capital “buffers” to avoid restrictions on capital distributions and discretionary bonus payments. The rule also imposes a risk-weight floor of 10 percent on retained CRT positions. In a 2022 amendment,

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the risk-weight floor was reduced to 5 percent, and other changes were made to incentivize CRT transactions.
The new framework continues to take into account the benefits of mortgage insurance, provided the mortgage insurer is compliant with the PMIERs. The amount of capital relief afforded for mortgage insurers will depend on a number of factors, including the GSEs’ determination of the creditworthiness of the mortgage insurer. It is possible that the higher capital standards imposed on the GSEs will result in increased fees for homebuyers that will reduce the demand for mortgage loans, and therefore the demand for mortgage insurance. Further, the GSEs will independently determine the creditworthiness of mortgage insurance counterparties, which could affect the competitive position of individual mortgage insurance providers. Moreover, the higher risk-capital charges for residential mortgages could be incorporated into the PMIERs standards, thereby requiring mortgage insurers to hold higher capital levels in order to be recognized as approved counterparties for the GSEs. This could have a negative impact on our return on equity.
On January 4, 2023, the unified regulatory agenda issued by the Office of Management and Budget referenced that FHFA targets February 2023 for a notice of proposed rulemaking addressing capital requirements for derivatives; market risk; multifamily loans in general and multifamily loans with government subsidies specifically, and exposures of an Enterprise to the other Enterprise. There is a risk that future changes to the capital framework could adversely impact credit for credit risk transfer or the capital relief afforded for mortgage insurance.
Risk Relating to Our Company and Our Shares
Some of the provisions of our bye-laws and our shareholders agreement may have the effect of hindering, delaying or preventing third party takeovers or changes in management initiated by shareholders. These provisions may also prevent our shareholders from receiving premium prices for their shares in an unsolicited takeover.
Some provisions of our bye-laws could have the effect of discouraging unsolicited takeover bids from third parties or changes in management initiated by shareholders. These provisions may encourage companies interested in acquiring us to negotiate in advance with our Board, since the Board has the authority to overrule the operation of several of the limitations.
Among other things, our bye-laws provide: for a classified Board, in which the directors of the class elected at each annual general meeting holds office for a term of three years, with the term of each class expiring at successive annual general meetings of shareholders; that the number of directors is determined by the Board from time to time by a
vote of the majority of the Board; that directors may only be removed for cause, and cause removal shall be deemed to exist only if the director whose removal is proposed has been convicted of a felony or been found by a court to be liable for gross negligence or misconduct in the performance of his or her duties; that the Board has the right to fill vacancies, including vacancies created by an expansion of the Board; and for limitations on a shareholder’s right to raise proposals or nominate directors at general meetings. Our bye-laws provide that certain provisions that may have anti-takeover effects may be repealed or altered only with prior Board approval and upon the affirmative vote of holders of shares representing at least 65% of the total voting power of our shares entitled generally to vote at an election of directors.
The bye-laws also contain a provision limiting the rights of any U.S. person (as defined in section 7701(a)(30) of the Internal Revenue Code of 1986, as amended (the “Code”)) that owns shares of Arch Capital, directly, indirectly or constructively (within the meaning of section 958 of the Code), representing more than 9.9% of the voting power of all shares entitled to vote generally at an election of directors. The votes conferred by such shares of such U.S. person will be reduced by whatever amount is necessary so that after any such reduction the votes conferred by the shares of such person will constitute 9.9% of the total voting power of all shares entitled to vote generally at an election of directors. Notwithstanding this provision, the Board may make such final adjustments to the aggregate number of votes conferred by the shares of any U.S. person that the Board considers fair and reasonable in all circumstances to ensure that such votes represent 9.9% of the aggregate voting power of the votes conferred by all shares of Arch Capital entitled to vote generally at an election of directors. Arch Capital will assume that all shareholders (other than specified persons) are U.S. persons unless we receive assurance satisfactory to us that they are not U.S. persons.
The bye-laws also provide that the affirmative vote of at least 66 2/3% of the outstanding voting power of our shares (excluding shares owned by any person (and such person’s affiliates and associates) that is the owner of 15% or more (a “15% Holder”) of our outstanding voting shares) shall be required for various corporate actions, including: merger or consolidation of the company into a 15% Holder; sale of any or all of our assets to a 15% Holder; the issuance of voting securities to a 15% Holder; or amendment of these provisions; provided, however, the super majority vote will not apply to any transaction approved by the Board.
The provisions described above may have the effect of making more difficult or discouraging unsolicited takeover bids from third parties. To the extent that these effects occur, shareholders could be deprived of opportunities to realize takeover premiums for their shares and the market price of their shares could be depressed. In addition, these provisions

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could also result in the entrenchment of incumbent management.
There are regulatory limitations on the ownership and transfer of our common shares.
The jurisdictions where we operate have laws and regulations that require regulatory approval of a change in control of an insurer or an insurer's holding company. Where such laws apply to us, there can be no effective change in our control unless the person seeking to acquire control has filed a statement with the regulators and obtained prior approval for the proposed change. Certain regulators may at any time, by written notice, object to a person holding shares in an insurer or an insurer's holding company if it appears to the regulator that the person is not or is no longer fit and proper to be such a holder. The regulator may require the shareholder to reduce its holding in the insurer or an insurer's holding company and direct, among other things, that such shareholder’s voting rights attaching to the shares in an insurer or an insurer's holding company shall not be exercisable.
Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries.
Arch Capital is a holding company whose assets primarily consist of the shares in our subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any payments of dividends, redemption amounts or liquidation amounts with respect to our preferred shares and common shares, and to fund the share repurchase program. The ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions is subject to legislative constraints and dependent on their ability to meet applicable regulatory standards. In addition, the ability of our insurance and reinsurance subsidiaries to pay dividends to Arch Capital and to intermediate parent companies owned by Arch Capital could be constrained by our dependence on financial strength ratings from independent rating agencies. Our ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries.
General market conditions and unpredictable factors could adversely affect market prices for our outstanding preferred shares.
There can be no assurance about the market prices for our series of preferred shares that are traded publicly. Several factors, many of which are beyond our control, will influence the fair value of our preferred shares, including, but not limited to:
whether dividends have been declared and are likely to be declared on any series of our preferred shares from time to time;
our creditworthiness, financial condition, performance and prospects;
whether the ratings on any series of our preferred shares provided by any ratings agency have changed;
the market for similar securities; and
economic, financial, geopolitical, social, regulatory or judicial events that affect us and/or the insurance or financial markets generally.
Dividends on our preferred shares are non-cumulative.
Dividends on our preferred shares are non-cumulative and payable only out of lawfully available funds of Arch Capital under Bermuda law. Consequently, if the Board (or a duly authorized committee of the Board) does not authorize and declare a dividend for any dividend period with respect to any series of our preferred shares, holders of such preferred shares would not be entitled to receive any such dividend, and such unpaid dividend will not accrue and will never be payable. Arch Capital will have no obligation to pay dividends for a dividend period on or after the dividend payment date for such period if the Board (or a duly authorized committee of the Board) has not declared such dividend before the related dividend payment date; if dividends on our series F or series G preferred shares are authorized and declared with respect to any subsequent dividend period, Arch Capital will be free to pay dividends on any other series of preferred shares and/or our common shares. In the past, we have not paid dividends on our common shares.

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Our preferred shares are equity and are subordinate to our existing and future indebtedness.
Our preferred shares are equity interests and do not constitute indebtedness. As such, these preferred shares will rank junior to all of our indebtedness and other non-equity claims with respect to assets available to satisfy our claims, including in our liquidation. Our existing and future indebtedness may restrict payments of dividends on our preferred shares. Additionally, unlike indebtedness, where principal and interest would customarily be payable on specified due dates, in the case of preferred shares, (1) dividends are payable only if declared by the Board (or a duly authorized committee of the Board) and (2) as described under “Risks Relating to Our Company—Arch Capital is a holding company and is dependent on dividends and other distributions from its operating subsidiaries,” we are subject to certain regulatory and other constraints affecting our ability to pay dividends and make other payments.
We may issue additional securities that rank equally with or senior to our series F and series G preferred shares without limitation. The issuance of securities ranking equally with or senior to our preferred shares may reduce the amount available for dividends and the amount recoverable by holders of such series in the event of a liquidation, dissolution or winding-up of Arch Capital.
The voting rights of holders of our preferred shares are limited.
Holders of our preferred shares have no voting rights with respect to matters that generally require the approval of voting shareholders. The limited voting rights of holders of our preferred shares include the right to vote as a class on certain fundamental matters that affect the preference or special rights of our preferred shares as set forth in the certificate of designations relating to each series of preferred shares. In addition, if dividends on our series F or series G preferred shares have not been declared or paid for the equivalent of six dividend payments, whether or not for consecutive dividend periods, holders of the outstanding series F or series G preferred shares will be entitled to vote for the election of two additional directors to the Board subject to the terms and to the limited extent as set forth in the certificate of designations relating to such series of preferred shares.
Risks Relating to Taxation
We and our non-U.S. subsidiaries may become subject to U.S. federal income taxation and/or the U.S. federal income tax liabilities of our U.S. subsidiaries may increase, including as a result of changes in tax law.
Arch Capital and its non-U.S. subsidiaries intend to operate their business in a manner that will not cause them to be treated as engaged in a trade or business in the U.S. and, thus, will not be required to pay U.S. federal income taxes (other than U.S. excise taxes on insurance and reinsurance premiumpremiums and withholding taxes on certain U.S. source investment income) on their income. However, because there is uncertainty as to the activities which constitute being engaged in a trade or business in the U.S., there can be no assurancesassurance that the IRS will not contend successfully that Arch Capital or its non-U.S. subsidiaries are engaged in a trade or business in the U.S. If Arch Capital or any of its non-U.S. subsidiaries were subject to U.S. income tax,, in which case our shareholders' equity and earnings could be adversely affected.
Congress has been considering several legislative proposals intended to eliminate certain perceived tax advantages of Bermuda and other non-U.S. insurance companies.jurisdictions. There is no assurance that any such legislative proposal will not be enacted
into law andor that any such enacted law would not adversely affectmaterially increase our income tax liabilities of us or anythose of our subsidiaries.
The enactment andcontinuing implementation of the Tax Cuts Act may have a material and adverse impact on our operations and financial condition.
The Tax Cuts Act includes significant changes to the taxation of business entities. These changes include, among others, a permanent reduction to the corporate income tax rate. Notwithstanding the reduction in the corporate income tax rate, the overall impact of this tax reform is uncertain, and our business and financial condition could be materially and adversely affected.
Certain provisions in the Tax Cuts Act could have a material and adverse impact on our financial condition and business operation. One such provision imposes a 10% minimum base erosion and anti-abuse tax (reduced to 5% for the 2018 taxable year and increased(increased to 12.5% for the 2026 taxable year and the subsequent taxable years)years after 2025) on the “modified taxable income” of a U.S. corporation (or a non-U.S. corporation engaged in a U.S. trade or business) over such corporation’s regular U.S. federal income tax, reduced by certain tax credits. The “modified taxable income” of a corporation is determined without deduction for certain payments by such corporation to its non-U.S. affiliates (including reinsurance premiums). Other provisions of the Tax Cuts Act that could have a material and adverse impact on us include a provision that defers or disallows a U.S. corporation’s deduction of interest expense to the extent such interest expense exceeds a specified percentage of such U.S. corporation’s “adjusted taxable income” and a provision that adjusts the manner in which a U.S. property and casualty insurance company computes its loss reserve. There
In addition, there is no assurance that subsequent changechanges in tax laws or regulations will not materially and adversely affect our operations and financial condition.
The results of the 2020 U.S. presidential election could have further impacts on our industry if new legislative or regulatory reforms are adopted. We are unable to predict at this time the effect of any such reforms.
Our non-U.K. companies may be subject to U.K. tax that may have a material adverse effect on our results of operations.
We intend to operate in such a manner so that none of our companies, other than our U.K. subsidiaries and branch operations (the “U.K. Group”), should be resident in the U.K. for tax purposes or carry on a trade, whether or not through a permanent establishment, in the U.K. Accordingly, we do not expect that any of our other subsidiaries, other than the U.K. Group, should be subject to U.K. tax. Case law has held that whether or not a trade is being carried on in the U.K. is a matter of fact and emphasis is placed on where the operations take place from which the profits in substance arise. HM Revenue and Customs might contend successfully that one or more of


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Proposed Treasury Regulations issued on January 24, 2022, if finalized in their current form, could (on prospective basis) cause our subsidiaries, in additionU.S. shareholders (including tax-exempt U.S. shareholders) to the U.K. Group, is carrying on a trade in the U.K. For U.K. tax purposes, a non-U.K. tax resident company will be subject to U.K. corporation tax only if it carries on a trade through a permanent establishment in the U.K. However, that subsidiary may still be subject to U.K.current U.S. federal income tax if it carries on a trade in the U.K., without a permanent establishment, unless it is entitled to the protection afforded by a double tax treaty between the U.K. and the jurisdiction in which that company is resident. If anyportion of our subsidiariesearnings attributable to certain intercompany reinsurance income (whether or not such income is treated as resident, or carrying ondistributed).
Unless an exception applies, U.S. shareholders generally are required to include currently in income a trade, in the U.K.,portion of any RPII recognized by our foreign subsidiaries, whether or not throughdistributed. Generally, RPII is insurance income (including reinsurance income) of a permanent establishment,foreign corporation with respect to which the insured is a United States shareholder of the foreign corporation or a related person to such a shareholder.
Under one exception to the foregoing RPII rules, U.S. shareholders are not required to include a CFC’s RPII currently in income if the CFC’s gross RPII is less than 20% of its total gross insurance income for the taxable year in question (the “RPII 20% gross income exception”).
Under current law, we currently expect each of our non-U.S. subsidiaries to satisfy the RPII 20% gross income exception, and therefore subjectwe currently do not expect any U.S. shareholder to U.K.be required to currently include RPII in income (although there can be no assurance that this is or will continue be the case). However, proposed Treasury Regulations issued on January 24, 2022, if finalized in their current form, would for the first time (on a prospective basis) expand the definition of RPII to include certain intercompany insurance income (including reinsurance income) in a manner that could cause certain of our foreign subsidiaries not to satisfy the RPII 20% gross income exception. In such event, (1) all U.S. shareholders (not just 10% U.S. shareholders) would be required to include RPII in income currently, whether or not distributed, and (2) U.S. shareholders that are tax our resultsexempt entities would be required to treat such RPII inclusions as unrelated business taxable income. Current and prospective U.S. shareholders should consult their own tax advisors as to the potential impact of operations could be materially adversely affected.these recently proposed Treasury Regulations.
We may become subject to taxes in Bermuda after March 31, 2035, which may have a material adverse effect on our results of operations.
Under current Bermuda law, we are not subject to tax on income, profits, withholding, capital gains or capital transfers. Furthermore, we have obtained from the Minister of Finance of Bermuda under the Exempted Undertakings Tax Protection Act 1966 of Bermuda, an assurance that, in the event that Bermuda enacts legislation imposing tax computed on profits, income, any capital asset, gain or appreciation, or any tax in the nature of estate duty or inheritance tax, then the imposition of the tax will not be
applicable to us or our operations until March 31, 2035. We couldGiven the limited duration of the Minister of Finance's assurance we cannot be certain that we will not be subject to taxes inany Bermuda tax after that date.date, which may have a material adverse effect on our results of operations. This assurance does not, however, prevent the imposition of taxes on any person ordinarily resident in Bermuda or any company in respect of its ownership of real property or leasehold interests in Bermuda.
The impact of Bermuda's letter of commitment to the OECD to eliminate harmful tax practices is uncertain and could adversely affect our tax status in Bermuda.Bermuda
The Organization for Economic Cooperation and Development (“OECD”)OECD has published reports and launched a global initiative among member and non-member countries on measures to limit harmful tax competition. These measures are largely directed at counteracting the effects of tax havens and preferential tax regimes in countries around the world. Bermuda was not listed in the most recent report as an uncooperative tax haven jurisdiction because it hadhas substantially implemented the internationally agreed tax standard and previously committed to eliminate harmful tax practices, to embrace international tax standards for transparency, to exchange information and to eliminate an environment that attracts business with no substantial domestic activity. We are not able to predict what changes will arise from the commitment or whether such changes will subject us to additional taxes.
Legislation enacted in Bermuda as to Economic Substance may affect our operations.
The impact of commitments made byPursuant to the governmentEconomic Substance Act 2018 (as amended) of Bermuda in order to avoid being namedand related regulations (the “ES Act”), which came into force on the EU’s list of non-cooperative tax jurisdictionsJanuary 1, 2019, a registered entity other than an entity which is uncertain and could have an adverse effect on our results of operations.
Following a year-long screening process, on December 5, 2017 the Council of the European Union published its list of non-cooperative jurisdictionsresident for tax purposes (the “EU Blacklist”).in certain jurisdictions outside Bermuda was not named(“non-resident entity”) that carries on as a business any one or more of the EU Blacklist due“relevant activities” referred to commitments made by its government to improve certain “substance requirement” deficiencies that were identified by the EU during the screening process. This commitment led to the passing ofin the ES Act must comply with economic substance requirements. The ES Act may require in-scope Bermuda entities which are engaged in December 2018. See “Economic Substance Act”such “relevant activities” to be directed and managed in Bermuda, have an adequate level of qualified employees in Bermuda, incur an adequate level of annual expenditure in Bermuda, maintain physical offices and premises in Bermuda or perform core income-generating activities in Bermuda. The list of “relevant activities” includes carrying on any one or more of the following activities: banking, insurance, fund management, financing, leasing, headquarters, shipping, distribution and service center, intellectual property and holding entities. An in-scope Bermuda entity that carries on a relevant activity is obliged under the heading “Regulation” for further details. As noted above, the ES Act requires in-scopeto file a declaration with the Bermuda entities to demonstrate that they have adequate economic substance in Bermuda. Broadly, this is expected to be the case whereRegistrar of Companies on an entity can demonstrate it has adequate income generating activities, employees, premises, and expenditure incurred in Bermuda, although the meaning of “adequate” in this context remains unclear. Further, the speed with which the ES Act was implemented, and the uncertainties in its interpretation, make it difficult to predict its future impact.annual basis containing certain information. Any entity found to be lacking adequate economic substance may be fined or ordered by a court to take action to remedy such failure (or

ARCH CAPITAL562022 FORM 10-K

face being struck off the companies register). As a result, there is a risk that non-compliance with its economic substance requirements under the ES Act could require Arch to enhance its infrastructure in Bermuda, and this may result in some additional operational expenditures, increased tax liabilities and/or compliance costs for Arch.
We may become subject to increased taxation in Bermuda and other countries as a result of the OECD's plan on “Base erosion and profit shifting.”
The OECD, with the support of the G20, initiated the “base erosion and profit shifting” (“BEPS”) project in 2013 in response to concerns that international tax standards have not kept pace with changes in global business practices and that changes are needed to international tax laws to address situations where multinationals may pay little or no tax in certain jurisdictions by shifting profits away from jurisdictions where the activities creating those profits may take place. In OctoberNovember 2015, the OECD issued “final reports” in connection with the BEPS project. The final reports were approved for adoption by the G20 finance ministers in November 2015.ministers. The final reports provide the basis for international standards for corporate taxation that are designed to prevent, among other things, the artificial shifting of income to tax havens and low-tax jurisdictions, the erosion of the tax base through interest deductions on intercompany debt and the artificial avoidance of permanent establishments (i.e.(i.e., tax nexus with a jurisdiction).
Legislation to adopt and implement these standards, including country by country reporting, has been enacted or is currently under consideration in a number of jurisdictions to


ARCH CAPITAL482019 FORM 10-K



implement these standards, including country by country reporting.jurisdictions. As a result, our income may be taxed in jurisdictions where it is not currently taxed and at higher rates of tax than currently taxed, which may substantially increase our effective tax rate. Also, the continued adoption of these standards may increase the complexity and costs associated with tax compliance and adversely affect our financial position and results of operations.
In May 2019, the OECD published a “Programme of Work,” divided into two pillars, which is designed to address the tax challenges created by an increasing digitalized economy. Pillar OneI addresses the broader challenge of a digitalized economy and focuses on the allocation of group profits among taxing jurisdictions based on a market-based concept rather than historical “permanent establishment” concepts. Pillar Two addresses the remaining BEPS risk of profit shifting to entities in low tax jurisdictions by introducing a global minimum tax and a proposed tax on base eroding payments, which would operate through a denial of a deduction or imposition of source-based taxation (including withholding tax) on certain payments. In January 2020, the OECD released a statement excluding most financial services activities, including insurance activities, from the scope of the profit reallocation mechanism in Pillar I. The OECD statement cited the presence of commercial (rather than consumer) customers as grounds for the carve-out, but also acknowledged that a “compelling case” could be made that the consumer-facing business lines of insurance companies should be excluded from the scope of Pillar I given the impact of regulations and licensing requirements that typically ensure that residual profits are largely realized in local customer markets. However, the OECD noted that the proper scope for Pillar I as applied to “unregulatedprofits from
“unregulated elements of the financial services sector” may require further consideration.remain in scope but only where revenue exceeds €20 billion. Pillar II addresses the remaining BEPS risk of profit shifting to entities in low tax jurisdictions by introducing a global minimum tax (15%) and a proposed tax on base eroding payments, which would operate through a denial of a deduction or imposition of source-based taxation (including withholding tax) on certain payments. In October 2021, 136 jurisdictions agreed on a two-pillar solution to address the tax challenges arising from the digitalization of the economy. In December 2021, the OECD released Model Rules for implementation of Pillar II followed by the release of detailed commentary in March 2022. Further details of the Implementation Package and related topics is expected in early 2023. The OECD expects to reach agreement on key policy issues by July 2020, with a final proposalthe rules to be agreedenacted into domestic legislation in 2023 in order for the rules to bybe effective from 2023 (with a key element of the participating members byrules, the end of 2020 and incorporated into local jurisdiction tax laws and treaties sometime shortly thereafter. To date, the proposal has been written broadly enough to potentially apply to our activities, and we are unable to determine at this time when such measures would be implemented and if so, whether they will be in a form that whether it would have a material adverse impact on our operations and results.UTPR, deferred for one year until 2025).
The EU’s review of harmful tax competition could adversely affect our business, financial condition and results of operations.
During 2017,On December 15, 2022, the EU Economic and Financial Affairsformally adopted Council (“ECOFIN”) releasedDirective on ensuring a listglobal minimum level of noncooperative jurisdictionstaxation for tax purposes. The stated aim of this list, and accompanying report, was to promote good governance worldwide in order to maximize efforts to prevent tax fraud and tax evasion. Bermuda was not on the list of non-cooperative jurisdictions, but did featuregroups operating in the report (along with approximately 40 other jurisdictions) as having committedUnion. Member States are required to address concerns relating
to economic substancetranspose the Directive into their domestic law by December 31, 2018. In accordance with that commitment, Bermuda has2023.The OECD expects the rules to be enacted into domestic legislation that requires certain entities in Bermuda engaged2023 in “relevant activities”order for the rules to maintainbe effective from 2023 (with a substantial economic presence in Bermuda and to satisfy economic substance requirements. The list of “relevant activities” includes carrying on as a business any one or more of: banking, insurance, fund management, financing, leasing, headquarters, shipping, distribution and service center, intellectual property and holding entities. Any entity that must satisfy economic substance requirements but fails to do so could face automatic disclosure to competent authorities in the EUkey element of the information filed byrules, the entity with the Bermuda Registrar of Companies in connection with the economic substance requirements and may also face financial penalties, restriction or regulation of its business activities and/or may be struck off as a registered entity in Bermuda.
At present, the impactUTPR, deferred for one year until 2025). The adoption of these new economic substance requirements is unclear, and it is impossible to predict the nature and effect of these requirements on us. The new economic substance requirementsrules may increase the complexity and costs of carrying on our businessassociated with tax compliance and may adversely affect our financial conditionposition and results of operations.
Application of the EU Anti-Tax Avoidance Directives

As part of the BEPS project, the EU Council adopted on 12 July 2016 Council Directive (EU) 2016/1164 ("(“ATAD I"I”), as amended by Council Directive (EU) 2017/952 ("(“ATAD II"II”, together with ATAD I, "ATAD"“ATAD”), to provide for minimum standardstandards across EU Member States for tackling aggressive tax planning involving hybrid tax mismatches and interest deductibility. ATAD I was required to be transposed into domestic Member State law with effect from January 1, 2019, whilst ATAD II was required to be transposed into domestic Member State law with effect from January 1, 2020 (with an exception in respect of reverse hybrid mismatch provisions, which shouldwill take effect on January 1, 2022). On December 22, 2021, the European Commission published a proposal for a Directive (“ATAD III”) laying down rules to prevent the misuse of shell entities for improper tax purposes and amending the Directive on administrative cooperation (Directive 2011/16/EU). If adopted, ATAD III will be effective from January 1, 2021). The full impact of the application of2024. ATAD is not yet clear. However,and ATAD III could adversely affect our financial positionresult in increased tax liabilities and/or compliance costs and operations, including through the increase of our: (i) our tax burden; (ii) expenditure to ensure compliance; and (iii) administrative burden.

burden for us.


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ITEM 1B. UNRESOLVED STAFF COMMENTS

None.

ITEM 2. PROPERTIES
We lease office space in Bermuda where our principal offices are located. Our insurance group leases space for offices in the U.S., Canada, Bermuda, U.K., Europe and Australia. Our reinsurance group leases space for offices in the U.S., Bermuda, U.K., Europe, Canada and Dubai. Our mortgage group leases space for offices in the U.S., Hong Kong and Australia. We believe that the above described office space is adequate for our needs. However, as we continue to develop our business, we may open additional office locations in 2020.2023.

ITEM 3. LEGAL PROCEEDINGS
We, in common with the insurance industry in general, are subject to litigation and arbitration in the normal course of our business. As of December 31, 2019,2022, we were not a party to any
litigation or arbitration which is expected by management to have a material adverse effect on our results of operations and financial condition and liquidity.

ITEM 4. MINE SAFETY DISCLOSURES
Not applicable.


ARCH CAPITAL502019 FORM 10-K
Not applicable.

ARCH CAPITAL582022 FORM 10-K


PART II

ITEM 5.MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES

ITEM 5. MARKET FOR REGISTRANT’S COMMON EQUITY, RELATED STOCKHOLDER MATTERS AND ISSUER PURCHASES OF EQUITY SECURITIES
HOLDERS
As of February 25, 2020,17, 2023, and based on information provided to us by our transfer agent and proxy solicitor, there were 7841,150 holders of record of our common shares (NASDAQ: ACGL) and approximately 64,200215,000 beneficial holders of our common shares.
ISSUER PURCHASES OF EQUITY SECURITIES
The following table summarizes our purchases of common shares for the 20192022 fourth quarter:
Issuer Purchases of Common Shares
PeriodTotal Number of Shares Purchased (1)Average Price Paid per ShareTotal Number of Shares Purchased as Part of Publicly Announced Plans or ProgramsApproximate Dollar Value of Shares that May Yet be Purchased Under the Plan or Programs ($000’s) (2)
10/1/2022-10/31/202259,926$53.08$596,411
11/1/2022-11/30/202229,362$56.43$596,411
12/1/2022-12/31/20223,420$60.61$1,000,000
Total92,708$54.42$1,000,000
  Issuer Purchases of Common Shares
Period Total Number of Shares Purchased (1) Average Price Paid per Share Total Number of Shares Purchased as Part of Publicly Announced Plans or Programs Approximate Dollar Value of Shares that May Yet be Purchased Under the Plan or Programs (2)
10/1/2019-10/31/2019 15,288 $41.66
 
 $160,867
11/1/2019-11/30/2019 28,671 $41.27
 
 $1,000,000
12/1/2019-12/31/2019 11,361 $42.06
 
 $1,000,000
Total 55,320 $41.54
 
 $1,000,000
(1)    Includes repurchases by Arch Capital of shares, from time to time, from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights. We purchased these shares at their fair market value, as determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights were exercised.
(2)    Remaining amount available at December 31, 2022 under Arch Capital’s $1.0 billion share repurchase authorization, authorized by the Board of Directors of ACGL on December 19, 2022. Repurchases under this authorization may be effected from time to time in open market or privately negotiated transactions through December 31, 2024.


(1)Includes repurchases by Arch Capital of shares, from time to time, from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights. We purchased these shares at their fair market value, as determined by reference to the closing price of our common shares on the day the restricted shares vested or the stock appreciation rights were exercised.
(2)In November 2019, the Board of Arch Capital increased the share repurchase authorization to $1.0 billion, under which repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2021.


ARCH CAPITAL515920192022 FORM 10-K



PERFORMANCE GRAPH
The following graph compares the cumulative total shareholder return on our common shares for each of the last five years through December 31, 20192022 to the cumulative total return, assuming reinvestment of dividends, of (1) S&P 500 Composite Stock Index (“S&P 500 Index”) and (2) the S&P 500 Property & Casualty Insurance Index. The share price performance presented below is not necessarily indicative of future results.
CUMULATIVE TOTAL SHAREHOLDER RETURN (1)(2)(3)
chart-d1de987a0e4557fba8f.jpg
acgl-20221231_g2.jpg
Base Period
Company Name/Index12/31/1712/31/1812/31/1912/31/2012/31/2112/31/22
lArch Capital Group Ltd.$100.00 $88.31 $141.75 $119.21 $146.91 $207.49 
nS&P 500 Index$100.00 $95.62 $125.72 $148.85 $191.58 $156.88 
pS&P 500 Property & Casualty Insurance Index$100.00 $95.31 $119.97 $128.31 $153.05 $181.93 
  Base Period     
 Company Name/Index12/31/1412/31/15
12/31/16
12/31/17
12/31/18
12/31/19
lArch Capital Group Ltd.
$100.00

$118.02

$146.01

$153.59

$135.63

$217.72
nS&P 500 Index
$100.00

$101.38

$113.51

$138.29

$132.23

$173.86
pS&P 500 Property & Casualty Insurance Index
$100.00

$109.53

$126.73

$155.10

$147.83

$186.07
(1)(1)    Stock price appreciation plus dividends.
(2)The above graph assumes that the value of the investment was $100 on December 31, 2014.
(3)This graph is not “soliciting material,” is not deemed filed with the SEC and is not to be incorporated by reference in any filing by us under the Securities Act of 1933 or the Securities and Exchange Act of 1934, whether made before or after the date hereof and irrespective of any general incorporation language in any such filing.


(2)    The above graph assumes that the value of the investment was $100 on December 31, 2017.
(3)    This graph is not “soliciting material,” is not deemed filed with the SEC and is not to be incorporated by reference in any filing by us under the Securities Act of 1933 or the Securities and Exchange Act of 1934, whether made before or after the date hereof and irrespective of any general incorporation language in any such filing.
ARCH CAPITAL522019 FORM 10-K




ITEM 6. SELECTED FINANCIAL DATA[RESERVED]
The following tables set forth summary historical consolidated financial and operating data (including the results of the ‘other’ segment) and should be read in conjunction with “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and our financial statements and the related notes.
(U.S. dollars in thousands except share data)Year Ended December 31,
2019 2018 2017 2016 2015
Statement of Income Data:         
Net premiums written$6,039,067
 $5,346,747
 $4,961,373
 $4,031,391
 $3,817,531
Net premiums earned5,786,498
 5,231,975
 4,844,532
 3,884,822
 3,733,905
Net investment income627,738
 563,633
 470,872
 366,742
 348,090
Equity in net income (loss) of investments accounted for using the equity method123,672
 45,641
 142,286
 48,475
 25,455
Net realized gains (losses)366,363
 (405,344) 149,141
 137,586
 (185,842)
Total revenues6,928,200
 5,450,568
 5,627,375
 4,463,556
 3,936,590
Income before income taxes1,849,110
 841,772
 757,277
 855,552
 567,194
Net income$1,693,300
 $727,821
 $629,709
 $824,178
 $526,582
Net (income) loss attributable to noncontrolling interests(56,981) 30,150
 (10,431) (131,440) 11,156
Net income available to Arch1,636,319
 757,971
 619,278
 692,738
 537,738
Preferred dividends(41,612) (41,645) (46,041) (28,070) (21,938)
Loss on redemption of preferred shares
 (2,710) (6,735) 
 
Net income available to Arch common shareholders$1,594,707
 $713,616
 $566,502
 $664,668
 $515,800
Diluted net income per share$3.87
 $1.73
 $1.36
 $1.78
 $1.36
Cash dividends per share
 
 
 
 
After-tax operating income available to Arch common shareholders (1)$1,162,639
 $909,190
 $447,155
 $577,444
 $565,199
After-tax operating income available to Arch common shareholders per share — diluted (1)$2.82
 $2.20
 $1.07
 $1.54
 $1.49
After-tax return on average common equity (2)16.5% 8.4% 7.2% 10.9% 8.9%
After-tax operating return on average common equity (2)12.0% 10.7% 5.7% 9.4% 9.7%
Weighted average common shares and common share equivalents outstanding — diluted (2)411,609,478
 412,906,478
 417,785,025
 374,152,479
 378,116,229
(1)After-tax operating income available to Arch common shareholders is defined as net income available to Arch common shareholders, excluding net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares, net of income taxes. The presentation of after-tax operating income available to Arch common shareholders is a “non-GAAP financial measure” as defined in Regulation G. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Comment on Non-GAAP Financial Measures” for further details.
(2)Equals after-tax operating income available to Arch common shareholders divided by the average of beginning and ending common shareholders’ equity for each period presented. For the 2016 period, the return on average common shareholders’ equity reflects the weighted impact of the $1.10 billion of convertible non-voting common equivalent preferred shares, which were issued on December 31, 2016 as part of the UGC acquisition.


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(U.S. dollars in thousands except share data)December 31,
2019 2018 2017 2016 2015
Balance Sheet Data:         
Total investable assets (1)$24,990,265
 $22,324,524
 $22,156,488
 $20,493,952
 $16,340,938
Premiums receivable1,778,717
 1,299,150
 1,135,249
 1,072,435
 983,443
Reinsurance recoverables on unpaid and paid losses and loss adjustment expenses4,346,816
 2,919,372
 2,540,143
 2,114,138
 1,867,373
Total assets37,885,361
 32,218,329
 32,051,658
 29,372,109
 23,138,931
Reserves for losses and loss adjustment expenses:         
Before unpaid losses and loss adjustment expenses recoverable13,891,842
 11,853,297
 11,383,792
 10,200,960
 9,125,250
Net of unpaid losses and loss adjustment expenses recoverable9,809,192
 9,039,006
 8,918,882
 8,117,385
 7,296,413
Unearned premiums:         
Before ceded unearned premiums4,339,549
 3,753,636
 3,622,314
 3,406,870
 2,333,932
Net of ceded unearned premiums3,104,866
 2,778,167
 2,695,703
 2,547,303
 1,906,323
Senior notes1,871,626
 1,733,528
 1,732,884
 1,732,258
 791,306
Revolving credit agreement borrowings484,287
 455,682
 816,132
 756,650
 530,434
Total liabilities25,569,809
 21,780,650
 21,805,723
 20,060,984
 16,028,376
Total shareholders’ equity12,260,148
 10,231,387
 10,040,013
 9,105,572
 6,905,373
Total shareholders' equity available to Arch11,497,371
 9,439,827
 9,196,602
 8,253,718
 6,166,542
Preferred shareholders' equity780,000
 780,000
 872,555
 772,555
 325,000
Common shareholders' equity available to Arch$10,717,371
 $8,659,827
 $8,324,047
 $7,481,163
 $5,841,542
Common shares and common share equivalents outstanding, net of treasury shares (2)405,619,201
 402,454,834
 409,956,417
 406,651,011
 367,883,349
Book value per share (2) (3)$26.42
 $21.52
 $20.30
 $18.40
 $15.88

(1)ARCH CAPITALThis table excludes the collateral received and reinvested and includes the securities pledged under securities lending agreements, at fair value.602022 FORM 10-K
(2)Reflects the impact of outstanding convertible non-voting common equivalent preferred shares which were issued on December 31, 2016 as part of the UGC acquisition.
(3)Excludes the effects of stock options and restricted stock and performance units.




ARCH CAPITAL542019 FORM 10-K




ITEM 7. MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS
The following is a discussion and analysis of the financial condition and results of operations for the year ended December 31, 20192022 and 2018, including comparisons between 2019 and 2018.2021. Comparisons between 20182021 and 20172020 have been omitted from this Form 10-K, but may be found in "Management's Discussion and Analysis of Financial Condition and Results of Operations" in Part II, Item 7 of the Company's Annual Report on Form 10-K year ended December 31, 20182021 filed with the SEC. This discussion and analysis contains forward-looking statements which involve inherent risks and uncertainties. All statements other than statements of historical fact are forward-looking statements. These statements are based on our current assessment of risks and uncertainties. Actual results may differ materially from those expressed or implied in these statements and, therefore, undue reliance should not be placed on them. Important factors that could cause actual events or results to differ materially from those indicated in such statements are discussed in this report, including the sections entitled “CautionaryCautionary Note Regarding Forward-Looking Statements,” and “Risk Factors.Risk Factors.
This discussion and analysis should be read in conjunction with our audited consolidated financial statements and notes thereto presented under Item 8.8. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
Page No.
Overview
Current Outlook
Financial Measures
Comments on Non-GAAP Measures
Results of Operations
Insurance Segment
Reinsurance Segment
Mortgage Segment
Corporate Segment
Summary of Critical Accounting Estimates
Financial Condition
Liquidity
Capital Resources
Contractual Obligations and Commitments
Ratings
Catastrophic Events and Severe Economic Events
Market Sensitive Instruments and Risk Management
GENERAL


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Overview

OVERVIEW
Arch Capital Group Ltd. (“Arch Capital” and, together with its subsidiaries, “we” or “us”) is a publicly listed Bermuda public limited liabilityexempted company with approximately $13.23$15.6 billion in capital at December 31, 20192022 and throughis part of the S&P 500 index. Through operations in Bermuda, the United States, United Kingdom, Europe, Canada and Australia, and Hong Kong, writeswe write specialty lines of property and casualty insurance and reinsurance, as well as mortgage insurance and reinsurance, on a worldwide basis. It is our belief that our underwriting platform, our experienced management team and our strong capital base have enabled us to establish a strong presence in the insurance and reinsurance markets.
The worldwide property casualty insurance and reinsurance industry is highly competitive and has traditionally been subject to an underwriting cycle. In that cycle, in which a hard“hard” market (highis evidenced by high premium rates, restrictive underwriting standards, as well asnarrow terms and conditions, and strong underwriting gains)profits for insurers. A “hard” market typically attracts new capital and new entrants to the market and is eventually followed by a soft“soft” market, (lowwhich has characteristics of low premium rates, relaxed underwriting standards, as well as broader terms and conditions, and lower underwriting losses). Propertyprofits for insurers. Market conditions in the property and casualty market conditionsarena may affect, among other things, the demand for our products, our
ability to increase premium rates, the terms and conditions of the insurance policies we write, changes in the products offered by us or changes in our business strategy.
The financial results of the property casualty insurance and reinsurance industry are influenced by factors such as the frequency and/or severity of claims and losses, including natural disasters or other catastrophic events, variations in interest rates and financial markets, changes in the legal, regulatory and judicial environments, inflationary pressures and general economic conditions. These factors influence, among other things, the demand for insurance or reinsurance, the supply of which is generally related to the total capital of competitors in the market.
Mortgage insurance and reinsurance is subject to similar cycles to property casualty except that they have historically been more dependent on macroeconomic conditions.
Current Outlook
Our objective is to achieve an average operating return on average equity of 15% or greater over the insurance cycle, which we believe to be an attractive return to our common shareholders given the risks we assume. We continue to look for opportunities to find acceptable books of business to underwrite without sacrificing underwriting discipline and continue to write a portion of our overall book in catastrophe-exposed business which has the potential to increase the volatility of our operating results.
In 2019, property and casualty rates increased in many lines of business and we believe that insurance markets remain in a transitioning phase. Given the uncertainty of current claim trends, the industry needs further rate increases to provide insurers an adequate buffer and a positive risk-reward proposition. In this kind of environment, risk selection and active capital allocation remain critical to generating superior returns. Strengthening market conditions are evident to us from both the rise in our submission activity and our ability to achieve significant rate increases across numerous lines of business.
Reinsurance pricing tends to follow that of the primary insurance industry although catastrophe and large attritional losses, such as the Japanese typhoons this year, can disproportionately affect results and create opportunities in the reinsurance market. We believe that property facultative and marine businesses are examples of improving markets.
Our underwriting teams continue to execute a disciplined strategy by emphasizing small and medium-sized accounts over large accounts, shrinking premiums in more commoditized



CURRENT OUTLOOK
ARCH CAPITAL552019 FORM 10-K
As we head into 2023, our objective remains the same, to deliver long term value for our shareholders. Underwriting discipline is core to our culture and we are committed to agile cycle management with a focus on risk-adjusted returns. 2022 was our third consecutive year of sustained premium and revenue growth, supporting stronger and more stable earnings power for the near term. Reinsurance segment’s net premiums written grew 51% as the team seized on market dislocations while our insurance segment grew a robust 21%. We continue to see a broad array of opportunities to allocate capital where rates and terms and conditions allow for growth in attractive returns.
We continue to execute our cycle management strategy by actively allocating capital across a diversified, specialty portfolio where rates allow for returns that are higher than our cost of capital. While we continue to allocate more capital to our property and casualty segments, it is important to note that we have capitalized on attractive returns from our mortgage segment with $1.3 billion of underwriting income in 2022.
The catastrophic activity in 2022 has significantly increased pressure on property catastrophe markets, which could have a ripple effect across all property and casualty lines. As a result, we continue to show improved underwriting margins, partially due to the compounding of rate-on-rate increases and the rebalancing of our mix of business. We believe that this proven strategy of protecting capital through soft markets and increasing writings in hard markets gives us the best chance to generate superior risk adjusted returns over time.
In reinsurance, pricing for the January 1 renewals was strong. Property catastrophe pricing and terms both improved, leading to the effective rate changes in the 30% to 50% range. We anticipate that these trends will continue to the mid-year property catastrophe renewal period and should translate to strong property growth in 2023. As long as rate increases support returns above our required thresholds, we expect to continue to grow our writings. Rate improvements have enabled us to continue to expand writings in our property casualty segments.
In insurance, underwriting conditions remain opportunistic as pricing discipline, terms and conditions, and limits management are stable across most lines. This stability, combined with the uncertainties in the insurance market, should keep the market disciplined and sustain rate increases in most lines of business. Our specialty business in the U.K. and the U.S. operations benefited from growth in professional liability, including cyber insurance, as well as travel where we believe relative returns are attractive.

ARCH CAPITAL622022 FORM 10-K


lines such as general liability and by utilizing reinsurance purchases to reduce volatility on large account, high capacity business. The spread between rate changes and loss trendInflation continues to be a key variablefocus for our industry. We proactively analyze available data and we incorporate emerging trends into our pricing and reserving. We believe that this discipline, coupled with increases in assessing expectedfuture investment returns and canprudent reserving, helps us somewhat mitigate inflation’s impact.
In mortgage, we continue to be difficultthoughtful in how we manage our portfolio and, because of our diversified model, we have the ability to quantify precisely, particularly in specialty lines.
take a measured view of the business as just one component of our diversified enterprise. Our mortgage segmentbusiness continues to experience generally favorable market conditions.deliver consistent underwriting results, once again demonstrating its sustainable earnings model. Although pricing remains competitivehigher interest rates affected new loan origination volume, our U.S. primary mortgage insurance in the U.S., borrowerforce grew to nearly $296 billion, reflecting a higher persistency rate. The credit quality of homebuyers remains excellent and the general economywe believe our portfolio is well positioned for a variety of economic scenarios.
We remain strong. Our results continue to reflect our success in making high quality credit underwriting risk decisions and building customer relationships.
Arch remains committed to providing solutions across many offerings as the marketplace evolves, including newthe mortgage credit risk transfer programs initiated by government sponsored enterprises, or “GSEs,” in 2018. Such programs have begun generating business with banks developing new systems to handle the programs and momentum beginning to build.(“GSEs”). In addition, we completed multiple Bellemeade risk transfers to the capital markets throughout 2019,have entered into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda and have issued mortgage insurance linked notes, increasing our protection for mortgage tail risk. The Bellemeade structures provided approximately $4.0 billion of aggregate reinsurance coverage at December 31, 2022.















FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for Arch Capital’s common shareholders:
Book Value per Share
Book value per share represents total common shareholders’ equity available to Arch divided by the number of common shares and common share equivalents outstanding. Management uses growth in book value per share as a key measure of the value generated for our common shareholders each period and believes that book value per share is the key driver of Arch Capital’s share price over time. Book value per share is impacted by, among other factors, our underwriting results, investment returns and share repurchase activity, which has an accretive or dilutive impact on book value per share depending on the purchase price. Book value per share was $26.42$32.62 at December 31, 2019,2022, a 22.8% increase2.8% decrease from $21.52$33.56 at December 31, 2018.2021. The growthdecline in 20192022 reflected strong mortgage insurance underwriting performance and investment returns.negative total return on investments driven by rising interest rates on fixed maturities.
Operating Return on Average Common Equity
Operating return on average common equity (“Operating ROAE”) represents annualized after-tax operating income available to Arch common shareholders divided by average common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common
shareholders, a “non-GAAP measure” as defined in the SEC rules, represents net income available to Arch common shareholders, excluding net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings,earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, and transaction costs and other, netloss on redemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the return generated to Arch common shareholders. See “Comment on Non-GAAP Financial Measures.”
Our Operating ROAEannualized net income return on average common equity was 12.0%11.6% for 2019,2022, compared to 10.7%16.7% for 2018. The higher Operating ROAE for 2019 reflected favorable mortgage insurance market conditions, strong investment returns2021, with the lower return in 2022 primarily resulting from net realized losses and a lower level of catastrophic activity.income from equity method investments. Our Operating ROAE was 14.8% for 2022, compared to 11.5% for 2021, with the higher return in 2022 primarily resulting from strong underwriting performance and growth in net investment income, reflecting higher yields available on fixed income securities.

ARCH CAPITAL632022 FORM 10-K

Total Return on Investments
Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains andor losses and the change in unrealized gains andor losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excluding amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. Management uses total return on investments as a key measure of the return generated tofor Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.returns. See “Comment on Non-GAAP Financial Measures.”
The following table summarizes the pre-tax total return (before investment expenses) of investmentinvestments held by Arch compared to the benchmark return (both based in U.S. Dollars) against which we measured our portfolio during the periods:
Arch
Portfolio (1)
Benchmark
 Return
Year Ended December 31, 2022-6.45 %-9.60 %
Year Ended December 31, 20211.90 %1.20 %
 
Arch
Portfolio (1)
 
Benchmark
 Return
Pre-tax total return (before investment expenses):   
Year Ended December 31, 20197.30% 7.39 %
Year Ended December 31, 20180.33% -0.60 %
(1) Our investment expenses were approximately 0.28% and 0.32%, respectively, of average invested assets in 2022 and 2021.
(1)
Our investment expenses were approximately 0.33% and 0.36%, respectively, of average invested assets in 2019 and 2018.

Total return for the 2022 period reflected rising interest rates on fixed maturities and weak equity markets. The overall position of our investment portfolio was in line with the benchmark return index in 2019 and reflected strong total returns on our investment grade fixed incomeremains relatively unchanged as we remain cautious relative to duration, credit and equity portfolios.risk.
The benchmark return index is a customized combination of indices intended to approximate a target portfolio by asset mix and average credit quality while also matching the approximate estimated duration and currency mix of our insurance and reinsurance liabilities. Although the estimated duration and


ARCH CAPITAL562019 FORM 10-K



average credit quality of this index will move as the duration and rating of its constituent securities change, generally we do not adjust the composition of the benchmark return index except to incorporate changes to the mix of liability currencies and durations noted above. The benchmark return index should not be interpreted as expressing a preference for or aversion to any particular sector or sector weight. The index is intended solely to provide, unlike many master indices that change based on the size of their constituent indices, a relatively stable basket of investable indices. At December 31, 2019,2022, the benchmark return index had an average credit quality of “Aa3” by Moody’s, an estimated duration of 3.023.16 years.
The benchmark return index included weightings to the following indices:
%
ICE BoAML 1-10 YearBofAML US Corporates, A - AAA - A U.S. CorporateRated 1-5 Yr Index21.0013.00 %
ICE BoAMLBofAML 1-5 Year U.S.US Treasury Index15.0012.00 
ICE BoAML 3-5BofAML US Corporates, AAA-A 5-10 Year Index11.00 
ICE BofAML US Corporates, BBB Rated 1-10 Yr Index5.00 
JPM CLOIE Investment Grade5.00 
ICE BofAML 1-5 Year UK Gilt Index4.25 
ICE BofAML AAA US Fixed Rate AssetCMBS Index4.00 
ICE BofAML US Mortgage Backed Securities Index7.004.00 
ICE BoAMLBofAML German Government 1-10 Year U.S. Municipal Securities Index5.004.00 
Bloomberg Barclays CMBS Invest Grade Aaa Total Return Index5.00
MSCI ACWI Net Total Return USD Index5.004.00 
Hedge Fund Research HFRX Fixed Income Credit IndexEquity (MSCI ACWI)5.003.30 
Hedge Fund Research HFRX Equal Weighted Strategies5.00
ICE BoAML 1-10 Year BBB U.S. Corporate Index4.00
ICE BoAML German Government 1-10 Year Index4.00
ICE BoAML U.S. Mortgage Backed Securities Index4.00
ICE BoAMLBofAML 0-3 Month U.S.US Treasury Bill Index4.003.00 
ICE BoAML 1-5BofAML 5-10 Year U.K. GiltUS Treasury Index3.503.00 
ICE BoAML 5-10BofAML 1-10 Year U.S. TreasuryUS Municipal Securities Index3.00
ICE BoAML 1-5 Year Australian Governments Index3.00
ICE BoAML U.S. High Yield Constrained Index2.50
S&P Leveraged LoanBloomberg Barclays ABS Aaa Total Return Index2.503.00 
ICE BoAMLBofAML 1-5 Year Canada Government Index1.002.50 
ICE BoAML 20+BofAML 1-5 Year Australia Government Index2.50 
Morningstar LSTA US Leveraged Loan TR USD2.50 
ICE BofAML US High Yield Constrained Index2.50 
Senior Lending (S&P Leveraged Loan)2.48 
Opportunistic Credit (Barclays Global HY)1.38 
Distressed (Ice BofA CCC and Lower)1.38 
Int'l Equity RE (DJ International RE)0.83 
US RE Mezz (FTSE NAREIT Mortgage Plus Capped Index)0.83 
US RE Senior (Barclays CMBS Erisa Eligible)0.83 
ICE BofAML 15+ Year Canada Government Index0.50
TotalICE BofA 1-5 Year Japan Government Index100.000.25 
Total100.0 %
COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way we believe will be the most meaningful and useful to investors, analysts, rating agencies and others who use our financial information in evaluating the performance of our company. This presentation includes the use of after-tax operating income available to Arch common shareholders, which is defined as net income available to Arch common shareholders, excluding net realized gains or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings,earnings), equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other, loss on redemption
of preferred shares and income taxes, and the use of annualized operating return on average common equity. The presentation of after-tax operating income available to Arch common shareholders and annualized operating return on average common equity are non-GAAP financial measures as defined in Regulation G. The reconciliation of such measures to net income available to Arch common

ARCH CAPITAL642022 FORM 10-K

shareholders and annualized net income return on average common equity (the most directly comparable GAAP financial measures) in accordance with Regulation G is included under “Results of Operations” below.
We believe that net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other and loss on redemption of preferred shares in any particular period are not indicative of the performance of, or trends in, our business. Although net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investments accounted for using the equity method and net foreign exchange gains or losses are an integral part of our operations, the decision to realize investment gains or losses, the recognition of the change in the carrying value of investments accounted for using the fair value option in net realized gains or losses, the recognition of net impairment losses, the recognition of equity in net income or loss of investments accounted for using the equity method and the recognition of foreign exchange gains or lossesthese items are independent of the insurance underwriting process and result, in large part, from general economic and financial market conditions. Furthermore, certain users of our financial information believe that, for many companies, the timing of the realization of investment gains or losses is largely opportunistic. In addition, changes in the allowance for credit losses and net impairment losses recognized in earnings on ourthe Company’s investments represent other-than-temporary declines in expected recovery values on securities without actual realization.
The use of the equity method on certain of our investments in certain funds that invest in fixed maturity securities is driven by the ownership structure of such funds (either limited partnerships or limited liability companies). In applying the equity method, these investments are initially recorded at cost and are subsequently adjusted based on our proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds). This method of accounting is different from the way we account for our other fixed maturity securitiesinvestments and the timing of the recognition of equity in net income or loss of investments accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments.
Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to acquisitions. We believe that transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, our business performance. The loss on redemption of preferred


ARCH CAPITAL572019 FORM 10-K



shares related to the redemption of our Series Cthe Company’s preferred shares in January 2018 and had no impact on shareholders' equity or cash flows.
Due to these reasons noted above, we exclude net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares from the calculation of after-tax operating income available to Arch common shareholders.
We believe that showing net income available to Arch common shareholders exclusive of the items referred to above reflects the underlying fundamentals of our business since we evaluate the performance of and manage our business to produce an underwriting profit. In addition to presenting net income available to Arch common shareholders, we believe that this presentation enables investors and other users of our financial information to analyze our performance in a manner similar to how management analyzes performance. We also believe that this measure follows industry practice and, therefore, allows the users of financial information to compare our performance with our industry peer group. We believe that the equity analysts and certain rating agencies whichthat follow us and the insurance industry as a whole generally exclude these items from their analyses for the same reasons.
Our segment information includes the presentation of consolidated underwriting income or loss and a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Such measures represent the pre-tax profitability of our underwriting operations and include net premiums earned plus other underwriting income, less losses and loss adjustment expenses, acquisition expenses and other operating expenses. Other operating expenses include those operating expenses that are incremental and/or directly attributable to our individual underwriting operations. Underwriting income or loss does not incorporate items included in our corporate (non-underwriting) segment. While these measures are presented in note 4, “Segment Information,” to our consolidated financial statements in Item 8, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The reconciliations of underwriting income or loss to income before income taxes (the most directly comparable GAAP financial measure) on a consolidated basis and a subtotal before the contribution from the ‘other’ segment, in accordance with Regulation G, is shown in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
We measure segment performance for our three underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets, and, accordingly, investment income, income from operating affiliates and other non-underwriting related items are not allocated to each underwriting segment. For the ‘other’ segment, performance is measured based on net income or loss.
Along with consolidated underwriting income, we provide a subtotal of underwriting income or loss before the contribution from the ‘other’ segment. Through June 30, 2021, the ‘other’ segment included the results of Somers Holdings Ltd. (formerly Watford Holdings Ltd.). Somers Holdings Ltd. is the parent of Somers Re Ltd., a multi-line Bermuda reinsurance company (together with Somers Holdings Ltd., “Somers”). Pursuant to generally accepted accounting principles, Watford is GAAP, Somers was

ARCH CAPITAL652022 FORM 10-K

considered a variable interest entity and we concluded that we arewere the primary beneficiary of Watford.Somers. As such, we consolidateconsolidated the results of WatfordSomers in our consolidated financial statements althoughthrough June 30, 2021. In the 2020 fourth quarter, Arch Capital, Somers, and Greysbridge Ltd., a wholly-owned subsidiary of Arch Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). Arch Capital assigned its rights under the Merger Agreement to Greysbridge Holdings Ltd. (“Greysbridge”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by Arch and 30% by certain funds managed by Kelso and 30% by certain funds managed by Warburg. Based on the governing documents of Greysbridge, we only own approximately 13%concluded that, while we retain significant influence over Greysbridge, Greysbridge does not constitute a variable interest entity. Accordingly, effective July 1, 2021, we no longer consolidate the results of Watford’s common equity as of December 31, 2019. Watford has its own managementSomers in our consolidated financial statements and board of directors that is responsible for its resultsfootnotes. See note 12, “VariableInterest Entities and profitability. In addition, we do not guarantee or provide credit support for Watford. Since Watford is an independent company, the assets of Watford can be used only to settle obligations of WatfordNoncontrolling Interests” and Watford is solely responsible for its own liabilities and commitments. Our financial exposure to Watford is limitednote 4,“Segment Information,” to our investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. We believe that presenting certainconsolidated financial statements for additional information excluding the ‘other’ segment enables investors and other users of our financial information to analyze our performance in a manner similar to how our management analyzes performance.on Somers.
Our presentation of segment information includes the use of a current year loss ratio which excludes favorable or adverse development in prior year loss reserves. This ratio is a non-GAAP financial measure as defined in Regulation G. The reconciliation of such measure to the loss ratio (the most directly comparable GAAP financial measure) in accordance with Regulation G is shown on the individual segment pages. Management utilizes the current year loss ratio in its analysis of the underwriting performance of each of our underwriting segments.
Total return on investments includes investment income, equity in net income or loss of investments accounted for using the equity method, net realized gains andor losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains andor losses generated by Arch’s investment portfolio. Total return is calculated on a pre-tax basis and before investment expenses, excludes amounts reflected in the ‘other’ segment, and reflects the effect of financial market conditions along with foreign currency fluctuations. In addition, total return incorporates the timing of investment returns during the periods. There is no directly comparable GAAP financial measure for total return. Management uses total return on investments as a key measure of the return generated to Arch common shareholders on the capital held in the business, and compares the return generated by our investment portfolio against benchmark returns which we measured our portfolio against during the periods.


RESULTS OF OPERATIONS
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RESULTS OF OPERATIONS

The following table summarizes our consolidated financial data, including a reconciliation of net income available to Arch common shareholders to after-tax operating income available to Arch common shareholders. Each line itemSee “Comment on Non-GAAP Financial Measures.”
Year Ended December 31,
20222021
Net income available to Arch common shareholders$1,436,197 $2,093,405 
Net realized (gains) losses662,735 (307,466)
Equity in net (income) loss of investments accounted for using the equity method(115,856)(366,402)
Net foreign exchange (gains) losses(100,988)(42,743)
Transaction costs and other1,092 1,199 
Loss on redemption of preferred shares— 15,101 
Income tax expense (benefit) (1)(42,791)41,836 
After-tax operating income available to Arch common shareholders$1,840,389 $1,434,930 
Beginning common shareholders’ equity$12,715,896 $12,325,886 
Ending common shareholders’ equity12,080,073 12,715,896 
Average common shareholders’ equity$12,397,985 $12,520,891 
Annualized net income return on average common equity %11.6 16.7 
Annualized operating return on average common equity %14.8 11.5 
(1) Income tax on net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the impact of our percentage ownership of Watford’s common equity during such period.relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.

 Year Ended December 31,
 2019 2018
Net income available to Arch common shareholders$1,594,707
 $713,616
Net realized (gains) losses(353,013) 297,755
Net impairment losses recognized in earnings3,165
 2,829
Equity in net (income) loss of investments accounted for using the equity method(123,672) (45,641)
Net foreign exchange (gains) losses10,732
 (59,890)
Transaction costs and other14,444
 12,377
Loss on redemption of preferred shares
 2,710
Income tax expense (benefit) (1)16,276
 (14,566)
After-tax operating income available to Arch common shareholders$1,162,639
 $909,190
    
Beginning common shareholders’ equity$8,659,827
 $8,324,047
Ending common shareholders’ equity10,717,371
 8,659,827
Average common shareholders’ equity$9,688,599
 $8,491,937
    
Annualized return on average common equity %16.5
 8.4
Annualized operating return on average common equity %12.0
 10.7
(1)ARCH CAPITALIncome tax on net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses, transaction costs and other and loss on redemption of preferred shares reflects the relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.662022 FORM 10-K

Results in all periods presented reflected the impact of current insurance and reinsurance market conditions and the impact of low interest yields on our investment portfolio.
Segment Information
We classify our businesses into three underwriting segments insurance, reinsurance and mortgage and two other operating segments corporate (non-underwriting) and ‘other.’ Our insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to our chief operating decision makers, the President and Chief Executive Officer of Arch Capital, Chief Financial Officer and Treasurer of Arch Capital and the President and Chief FinancialUnderwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for our three
underwriting segments based on underwriting income or loss. We do not manage our assets by underwriting segment, with the exception of goodwill and intangible assets and accordingly, investment income is not allocated to each underwriting segment.
We determined our reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of our consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
Insurance Segment
The following tables set forth our insurance segment’s underwriting results:
Year Ended December 31,Year Ended December 31,
2019 2018 % Change20222021% Change
Gross premiums written$3,907,993
 $3,262,332
 19.8
Gross premiums written$6,930,864 $5,867,734 18.1 
Premiums ceded(1,266,267) (1,050,207)  Premiums ceded(1,910,222)(1,719,541)
Net premiums written2,641,726
 2,212,125
 19.4
Net premiums written5,020,642 4,148,193 21.0 
Change in unearned premiums(244,646) (6,464)  Change in unearned premiums(461,307)(521,725)
Net premiums earned2,397,080
 2,205,661
 8.7
Net premiums earned4,559,335 3,626,468 25.7 
Losses and loss adjustment expenses(1,615,475) (1,520,680)  Losses and loss adjustment expenses(2,782,945)(2,344,365)
Acquisition expenses(361,614) (349,702)  Acquisition expenses(885,866)(606,265)
Other operating expenses(454,770) (364,138)  Other operating expenses(665,472)(558,906)
Underwriting income (loss)$(34,779) $(28,859)  n/m
Underwriting income (loss)$225,052 $116,932 92.5 
     
Underwriting Ratios    % Point ChangeUnderwriting Ratios% Point Change
Loss ratio67.4% 68.9% (1.5)Loss ratio61.0 %64.6 %(3.6)
Acquisition expense ratio15.1% 15.9% (0.8)Acquisition expense ratio19.4 %16.7 %2.7 
Other operating expense ratio19.0% 16.5% 2.5
Other operating expense ratio14.6 %15.4 %(0.8)
Combined ratio101.5% 101.3% 0.2
Combined ratio95.0 %96.7 %(1.7)
The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.


ARCH CAPITAL592019 FORM 10-K



Net Premiums Written.
The following tables set forth our insurance segment’s net premiums written by major line of business:
Year Ended December 31,
Year Ended December 31,20222021
2019 2018Amount%Amount%
Amount % Amount %
Professional Lines$534,323
 20.2 $450,406
 20.4
Professional linesProfessional lines$1,502,448 29.9$1,177,144 28.4
Property, energy, marine and aviationProperty, energy, marine and aviation878,067 17.5722,582 17.4
Programs426,535
 16.1 393,263
 17.8Programs611,922 12.2595,824 14.4
Property, energy, marine and aviation368,120
 13.9 219,174
 9.9
Travel, accident and healthTravel, accident and health484,847 9.7305,390 7.4
Construction and national accounts369,202
 14.0 320,937
 14.5Construction and national accounts469,717 9.4431,952 10.4
Travel, accident and health305,170
 11.6 290,401
 13.1
Excess and surplus casualty228,023
 8.6 168,467
 7.6Excess and surplus casualty460,798 9.2359,458 8.7
Lenders products111,708
 4.2 96,094
 4.3
Warranty and lenders solutionsWarranty and lenders solutions139,247 2.8146,984 3.5
Other298,645
 11.3 273,383
 12.4Other473,596 9.4408,859 9.9
Total$2,641,726
 100.0 $2,212,125
 100.0Total$5,020,642 100.0$4,148,193 100.0
Net premiums written by the insurance segment were 19.4%21.0% higher in 20192022 than in 2018. Approximately thirty percent of the growth2021. The increase in net premiums written resulted from our new businesses acquired during 2019 orreflected growth in professional lines and in property, primarily due to rate increases, new business initiatives or product lines. The remainingopportunities and growth came from expansion in existing products and accounts, and rate increases across most lines of business.in travel, primarily due to new business and growth in existing accounts.
Net Premiums Earned.
The following tables set forth our insurance segment’s net premiums earned by major line of business:
Year Ended December 31,
20222021
Amount%Amount%
Professional lines$1,314,236 28.8$942,817 26.0
Property, energy, marine and aviation772,38816.9667,89218.4
Programs589,86012.9506,86714.0
Travel, accident and health491,84710.8255,5907.0
Construction and national accounts432,0209.5416,10711.5
Excess and surplus casualty393,3538.6318,0278.8
Warranty and lenders solutions127,2222.8153,9584.2
Other438,4099.6365,21010.1
Total$4,559,335 100.0$3,626,468 100.0
Net premiums written are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Net premiums earned by the insurance segment were 25.7% higher in 2022 than in 2021, reflecting changes in net premiums written over the previous five quarters.
 Year Ended December 31,
 2019 2018
 Amount % Amount %
Professional Lines$499,224
 20.8 $458,425
 20.8
Programs414,103
 17.3 389,186
 17.6
Property, energy, marine and aviation298,966
 12.5 205,069
 9.3
Construction and national accounts325,687
 13.6 322,440
 14.6
Travel, accident and health305,085
 12.7 297,147
 13.5
Excess and surplus casualty200,615
 8.4 172,424
 7.8
Lenders products66,079
 2.8 94,248
 4.3
Other287,321
 12.0 266,722
 12.1
Total$2,397,080
 100.0 $2,205,661
 100.0


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Losses and Loss Adjustment Expenses.
The table below shows the components of the insurance segment’s loss ratio:
Year Ended December 31,Year Ended December 31,
2019 201820222021
Current year68.1 % 70.0 %Current year61.6 %65.0 %
Prior period reserve development(0.7)% (1.1)%Prior period reserve development(0.6)%(0.4)%
Loss ratio67.4 % 68.9 %Loss ratio61.0 %64.6 %
Current Year Loss Ratio.
The insurance segment’s current year loss ratio was 1.93.4 points lower in 20192022 than in 2018.2021. The 20192022 loss ratio included 1.45.2 points of current year catastrophic event activity, primarily related to Hurricane Dorian,Ian, Russia’s invasion of Ukraine and other natural catastrophes, compared to 3.45.6 points in 2018,2021, primarily related to Hurricanes FlorenceHurricane Ida and Michaelwinter storms Uri and the California wildfires.Viola. The balance of the change in the 20192022 loss ratioratios resulted, in part, from changes in mix of business and the level of large attritional losses.business.
Prior Period Reserve Development.
The insurance segment’s net favorable development was $15.8$25.3 million, or 0.70.6 points, for 2019,2022, compared to $24.4$16.2 million, or 1.10.4 points, for 2018.2021. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the insurance segment’s prior year reserve development.
Underwriting Expenses.
The insurance segment’s underwriting expense ratio was 34.1%34.0% in 2019,2022, compared to 32.4%32.1% in 2018,2021, with the increase primarily resulting from our acquisitionsdue to changing mix of business and growth in 2019.
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Reinsurance Segment 
The following tables set forth our reinsurance segment’s underwriting results:
Year Ended December 31,Year Ended December 31,
2019 2018 % Change20222021% Change
Gross premiums written$2,323,223
 $1,912,522
 21.5
Gross premiums written$6,948,438 $5,093,930 36.4 
Premiums ceded(720,500) (539,950)  Premiums ceded(2,024,462)(1,839,556)
Net premiums written1,602,723
 1,372,572
 16.8
Net premiums written4,923,976 3,254,374 51.3 
Change in unearned premiums(136,334) (111,356)  Change in unearned premiums(964,595)(413,931)
Net premiums earned1,466,389
 1,261,216
 16.3
Net premiums earned3,959,381 2,840,443 39.4 
Other underwriting income (loss)6,444
 (682)  Other underwriting income (loss)4,871 3,669 
Losses and loss adjustment expenses(1,011,329) (846,882)  Losses and loss adjustment expenses(2,568,843)(1,924,719)
Acquisition expenses(239,032) (211,280)  Acquisition expenses(813,555)(536,754)
Other operating expenses(141,484) (133,350)  Other operating expenses(267,531)(212,810)
Underwriting income$80,988
 $69,022
 17.3
Underwriting income$314,323 $169,829 85.1 
     
Underwriting Ratios    % Point Change
Underwriting Ratios% Point Change
Loss ratio69.0% 67.1% 1.9
Loss ratio64.9 %67.8 %(2.9)
Acquisition expense ratio16.3% 16.8% (0.5)Acquisition expense ratio20.5 %18.9 %1.6 
Other operating expense ratio9.6% 10.6% (1.0)Other operating expense ratio6.8 %7.5 %(0.7)
Combined ratio94.9% 94.5% 0.4
Combined ratio92.2 %94.2 %(2.0)
The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis, as described in note 4, “Segment Information,” to our consolidated financial statements in Item 8.
Net Premiums Written.
The following tables set forth our reinsurance segment’s net premiums written by major line of business:
Year Ended December 31,
20222021
Amount%Amount%
Other specialty$1,982,594 40.3$955,474 29.4
Property excluding property catastrophe1,276,083 25.91,004,086 30.9
Casualty973,948 19.8808,164 24.8
Property catastrophe415,725 8.4233,260 7.2
Marine and aviation166,933 3.4171,753 5.3
Other108,6932.281,6372.5
Total$4,923,976 100.0$3,254,374 100.0
 Year Ended December 31,
 2019 2018
 Amount % Amount %
Other specialty$466,977
 29.1 $507,971
 37.0
Casualty510,374
 31.8 400,178
 29.2
Property excluding property catastrophe403,320
 25.2 310,293
 22.6
Property catastrophe110,643
 6.9 79,624
 5.8
Marine and aviation53,679
 3.3 38,013
 2.8
Other57,730
 3.6 36,493
 2.7
Total$1,602,723
 100.0 $1,372,572
 100.0
GrossNet premiums written by the reinsurance segment were 51.3% higher in 2019 were 21.5% higher2022 than in 2018, while net premiums written were 16.8% higher than in 2018. The growth in gross premiums written primarily reflected new business opportunities in casualty and property lines, partially offset by a decline in other specialty business, driven by reductions in motor and agriculture business.2021. The growth in net premiums written is less than thereflected increases in most lines of business, primarily due to growth in gross premiums written becauseexisting accounts, new business, and rate increases. The 2022 fourth quarter was affected by a high proportionfew non-recurring transactions, primarily impacting the other specialty line of the property business is subject to retrocessions.business.


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Net premiums written in 2018 included a higher level of reinstatement premiums, due to 2018 catastrophic events, as well as premium adjustments on a multi-year casualty contract.
Net Premiums Earned.
The following tables set forth our reinsurance segment’s net premiums earned by major line of business:
Year Ended December 31,Year Ended December 31,
2019 201820222021
Amount % Amount %Amount%Amount%
Other specialty$478,517
 32.6 $474,568
 37.6Other specialty$1,377,880 34.8$818,801 28.8
Property excluding property catastropheProperty excluding property catastrophe1,091,440 27.6836,573 29.5
Casualty429,288
 29.3 347,034
 27.5Casualty854,543 21.6666,754 23.5
Property excluding property catastrophe362,841
 24.7 287,788
 22.8
Property catastrophe90,934
 6.2 75,249
 6.0Property catastrophe366,991 9.3280,738 9.9
Marine and aviation48,274
 3.3 39,238
 3.1Marine and aviation159,401 4.0152,955 5.4
Other56,535
 3.9 37,339
 3.0Other109,126 2.884,622 3.0
Total$1,466,389
 100.0 $1,261,216
 100.0Total$3,959,381 100.0$2,840,443 100.0
Net premiums earned in 20192022 were 16.3%39.4% higher than in 2018,2021, reflecting changes in net premiums written over the previous five quarters, including the mix and type of business written.
Other Underwriting Income (Loss).
Other underwriting income in 20192022 was $6.4$4.9 million, compared to other underwriting loss of $0.7$3.7 million in 2018.2021.
Losses and Loss Adjustment Expenses.
The table below shows the components of the reinsurance segment’s loss ratio:
Year Ended December 31,Year Ended December 31,
2019 201820222021
Current year72.2 % 78.1 %Current year69.7 %74.1 %
Prior period reserve development(3.2)% (11.0)%Prior period reserve development(4.8)%(6.3)%
Loss ratio69.0 % 67.1 %Loss ratio64.9 %67.8 %
Current Year Loss Ratio.
The reinsurance segment’s current year loss ratio was 5.94.4 points lower in 20192022 than in 2018.2021. The 20192022 loss ratio included 5.713.9 points for current year catastrophic event activity, primarily related to Hurricane DorianIan, Russia’s invasion of Ukraine and Typhoons Hagibis and Faxai,other global events, compared to 10.116.5 points in 2018, primarily related to Hurricanes Florence and Michael, Typhoon Jebi and the California wildfires.The 2018 loss ratio includes the impact of a large attritional casualty loss arising from the California wildfires that increased the 2018 loss ratio by 1.7 points.2021. The balance of the change in the 20192022 current year loss ratio resulted, in part, from the effectseffect of market conditions andrate increases, changes in the mix of business.


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Tablebusiness and the level of Contentsattritional losses.

Prior Period Reserve Development.
The reinsurance segment’s net favorable development was $46.4$191.6 million, or 3.24.8 points, for 2019,2022, compared to $138.5$178.8 million, or 11.06.3 points, for 2018,2021, See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the reinsurance segment’s prior year reserve development.
Underwriting Expenses.
The underwriting expense ratio for the reinsurance segment was 25.9%27.3% in 2019,2022, compared to 27.4%26.4% in 2018, reflecting growth in net premiums earned and2021, with the increase primarily resulting from changes in mix of business.business to lines with higher acquisition costs and expenses related to favorable development of prior year loss reserves.
Mortgage Segment
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations as well as participation in GSE credit risk-sharing transactions. Our mortgage group includes direct mortgage insurance in the U.S. primarily through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (together, “Arch MI U.S.”); mortgage reinsurance through Arch Re Bermuda to mortgage insurers on both a proportional and non-proportional basis globally; direct mortgage insurance in Europe through Arch Insurance (EU) and in Hong Kong through Arch MI Asia; and participation in various GSE credit risk-sharing products primarily through Arch Re Bermuda.
The following tables set forth our mortgage segment’s underwriting results.
Year Ended December 31,Year Ended December 31,
2019 2018 % Change20222021% Change
Gross premiums written$1,466,265
 $1,360,708
 7.8
Gross premiums written$1,454,971 $1,507,825 (3.5)
Premiums ceded(204,509) (202,833)  Premiums ceded(322,400)(246,757)
Net premiums written1,261,756
 1,157,875
 9.0
Net premiums written1,132,571 1,261,068 (10.2)
Change in unearned premiums104,584
 28,361
  Change in unearned premiums26,790 22,351 
Net premiums earned1,366,340
 1,186,236
 15.2
Net premiums earned1,159,361 1,283,419 (9.7)
Other underwriting income16,005
 13,033
  Other underwriting income8,356 17,665 
Losses and loss adjustment expenses(53,513) (81,289)  Losses and loss adjustment expenses324,271 (56,677)
Acquisition expenses(134,319) (118,595)  Acquisition expenses(40,159)(97,418)
Other operating expenses(153,092) (142,432)  Other operating expenses(195,172)(194,010)
Underwriting income$1,041,421
 $856,953
 21.5
Underwriting income$1,256,657 $952,979 31.9 
     
Underwriting Ratios    % Point Change
Underwriting Ratios% Point Change
Loss ratio3.9% 6.9% (3.0)Loss ratio(28.0)%4.4 %(32.4)
Acquisition expense ratio9.8% 10.0% (0.2)Acquisition expense ratio3.5 %7.6 %(4.1)
Other operating expense ratio11.2% 12.0% (0.8)Other operating expense ratio16.8 %15.1 %1.7 
Combined ratio24.9% 28.9% (4.0)Combined ratio(7.7)%27.1 %(34.8)
Premiums Written.
The following table sets forth our mortgage segment’s net premiums written by underwriting location (i.e., where the business is underwritten):
Year Ended December 31,Year Ended December 31,
2019 201820222021
Net premiums written by underwriting location   Net premiums written by underwriting location
United States$1,032,868
 $948,323
United States$780,256 $914,477 
Other228,888
 209,552
Other352,315346,591
Total$1,261,756
 $1,157,875
Total$1,132,571 $1,261,068 
Gross premiums written by the mortgage segment in 20192022 were 7.8% higher3.5% lower than in 2018.2021. The reduction in gross premiums written primarily reflected a lower U.S. primary mortgage insurance single premium volume and a decrease in monthly premiums. Net premiums written for 20192022 were 9.0% higher10.2% lower than in the 20182021 period. Net premiums written for the 2022 period and reflected an increasea higher level of premiums ceded than in monthly premium business due to growth in insurance in force. the 2021 period.

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The persistency rate of the U.S. primary portfolio of mortgage loans of Arch MI U.S. was 75.7%79.5% at December 31, 20192022 compared to 81.5%62.4% at December 31, 2018.2021, with the increase primarily reflecting a lower level of refinancing activity due to a higher interest rate environment. The persistency rate represents the percentage of mortgage insurance in force at the beginning of a 12-month period that remains in force at the end of such period.
Net Premiums Earned.
The following table sets forth our mortgage segment’s net premiums earned by underwriting location (i.e., where the business is underwritten):
Year Ended December 31,Year Ended December 31,
2019 201820222021
Net premiums earned by underwriting location   Net premiums earned by underwriting location
United States$1,134,849
 $1,009,765
United States$815,519 $970,507 
Other231,491
 176,471
Other343,842312,912
Total$1,366,340
 $1,186,236
Total$1,159,361 $1,283,419 
Net premiums earned for 20192022 were 15.2% higher9.7% lower than in 2018. The2021 and reflected a decline in monthly premiums and an increase in netceded premiums earned, reflected thepartially offset by growth in insurance in force in the U.S. over the last twelve months combined with higher single premium earned as a result of policy terminations due to mortgage refinance activity.credit risk transfer business.
Other Underwriting Income.
Other underwriting income, which is primarily related to GSE risk-sharing transactions receiving derivative accounting treatment,and our whole mortgage loan purchase and sell program, was $16.0$8.4 million for 2019,2022, compared to $13.0$17.7 million for 2018.2021.


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Losses and Loss Adjustment Expenses.
The table below shows the components of the mortgage segment’s loss ratio:
Year Ended December 31,Year Ended December 31,
2019 201820222021
Current year13.1 % 16.0 %Current year19.8 %17.6 %
Prior period reserve development(9.2)% (9.1)%Prior period reserve development(47.8)%(13.2)%
Loss ratio3.9 % 6.9 %Loss ratio(28.0)%4.4 %
Unlike property and casualty business for which we estimate ultimate losses on premiums earned, losses on mortgage insurance business are only recorded at the time a borrower is delinquent on their mortgage, in accordance with primary mortgage insurance industry practice. Because our primary mortgage insurance reserving process does not take into account the impact of future losses from loans that are not delinquent, mortgage insurance loss reserves are not an estimate of ultimate losses. In addition to establishing loss reserves for delinquent loans, under GAAP, we are required to establish a premium deficiency reserve for our mortgage
insurance products if the amount of expected future losses and maintenance costs exceeds expected future premiums, existing reserves and the anticipated investment income for such product. We assess the need for a premium deficiency reserve on a quarterly basis and perform a full analysis annually. No such reserve was established during 2019 and 2018.2022 or 2021.
Current Year Loss Ratio.
The mortgage segment’s current year loss ratio was 2.92.2 points lowerhigher in 20192022 compared to 2018.2021. The higher current year loss ratio for 2019 reflects the current favorable macroeconomic environment2022 period reflected a lower level of premiums earned in the U.S. primary mortgage insurance business combined with an increase in new delinquencies as thewell as an increase in estimated claim rates.
The percentage of loans in default on first lien businessU.S. primary mortgage insurance decreased from 1.60%2.36% at December 31, 20182021 to 1.54%1.77% at December 31, 2019.2022.
We insure mortgages for homes in areas that have been impacted by catastrophic events, including 2018 events such as Hurricanes Florence and Michael and the California wildfires.events. Generally, mortgage insurance losses occur only when a credit event occurs and, following a physical damage event, when the home is restored to pre-storm condition. Our ultimate claims exposure will depend on the number of delinquency notices received and the ultimate claim rate related to such notices. In the event of natural disasters, cure rates are influenced by the adequacy of homeowners and flood insurance carried on a related property, and a borrower's access to aid from government entities and private organizations, in addition to other factors which generally impact cure rates in unaffected areas.
Prior Period Reserve Development.
The mortgage segment’s net favorable development was $125.2$554.1 million, or 9.247.8 points, for 2019,2022, compared to $107.6$169.6 million, or 9.113.2 points, for 2018.2021. See note 5, “Reserve for Losses and Loss Adjustment Expenses,” to our consolidated financial statements in Item 8 for information about the mortgage segment’s prior year reserve development.
Underwriting Expenses.
The underwriting expense ratio for the mortgage segment was 21.0%20.3% for 2019,2022, compared to 22.0%22.7% for 2018. The2021, with the decrease primarily due to lower ratioacquisition expenses on Australian mortgage insurance following the acquisition of Westpac LMI in the 2019 period primarily resulted from the higher2021 third quarter and profit commissions adjustments related to favorable development of prior year loss reserves. Such amounts were partially offset by a lower level of net premiums earned.earned in the U.S. primary mortgage insurance business.


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Corporate (Non-Underwriting) Segment
The corporate (non-underwriting) segment results include net investment income, net realized gains or losses, equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, income taxes, income from operating affiliates and items related to our non-cumulative preferred shares, net realized gains or losses, net impairment losses included in earnings, equity in net income or loss of investments accounted for using the equity method, net foreign exchange gains or losses and income taxes.shares. Such amounts exclude the results of the ‘other’ segment.
Net Investment Income.
The components of net investment income were derived from the following sources:
Year Ended December 31,
20222021
Fixed maturities$468,659 $307,536 
Equity securities22,497 42,094 
Short-term investments29,519 6,799 
Other (1)46,647 68,411 
Gross investment income567,322 424,840 
Investment expenses (2)(70,775)(78,032)
Net investment income$496,547 $346,808 
 Year Ended December 31,
 2019 2018
Fixed maturities$440,824
 $403,449
Equity securities13,455
 12,650
Short-term investments14,642
 17,802
Other (1)86,440
 70,946
Gross investment income555,361
 504,847
Investment expenses (2)(64,294) (66,889)
Net investment income$491,067
 $437,958
(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(1)Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other.
(2)Investment expenses were approximately 0.33% of average invested assets for 2019, compared to 0.36% for 2018.
(2)    Investment expenses were approximately 0.28% of average invested assets for 2022, compared to 0.32% for 2021.

The pre-tax investment income yield was 2.52%1.99% for 2019,2022, compared to 2.36%1.41% for 2018.2021. The higher level of net investment income for 20192022 compared to 20182021 reflected a higher level of income on fund investments andyields available in the reinvestment of fixed income securities at slightly higher available yields and the shift from municipal bonds to corporates.financial markets. The pre-tax investment income yields were calculated based on amortized cost. Yields on future investment income may vary based on financial market conditions, investment allocation decisions and other factors.


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Corporate Expenses.
Corporate expenses were $65.7 million for 2019, compared to $58.6 million for 2018. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company. The higher level of corporate expenses in 2019 compared to 2018 was primarily due to higher incentive compensation costs.
Transaction Costs and Other.
Transaction costs and other were $14.4 million for 2019, compared to $11.4 million for 2018. Amounts for 2019 were primarily attributable to our 2019 acquisitions, while amounts for 2018 were primarily attributable to the write off of intangible assets related to insurance licenses for a subsidiary which was merged with another subsidiary.
Amortization of Intangible Assets.
Amortization of intangible assets for 2019 was $82.1 million, compared to $105.7 million for 2018 . Amounts in 2019 and 2018 primarily related to amortization of finite-lived intangible assets related to our 2016 acquisition.
Interest Expense.
Interest expense was $93.7 million for 2019, compared to $101.0 million for 2018. Interest expense reflects amounts related to our outstanding senior notes, revolving credit agreement borrowings and other. We repaid $375 million of our revolving credit agreement borrowings during 2018 resulting in lower borrowing costs for 2019.
Loss on Redemption of Preferred Shares.
In January 2018, we redeemed the remaining $92.3 million of 6.75% Series C preferred shares outstanding and recorded a loss of $2.7 million. Such adjustments had no impact on total shareholders’ equity or cash flows.
Net Realized Gains (Losses).
We recorded net realized gainslosses of $351.2$662.7 million for 2019,2022, compared to net realized lossesgains of $284.4$299.2 million for 2018.2021. Currently, our portfolio is actively managed to maximize total return within certain guidelines. The effect of financial market movements on the investment portfolio will directly impact net realized gains andor losses as the portfolio is adjusted and rebalanced. Net realized gains or losses from the sale of fixed maturities primarily results from our decisions to reduce credit exposure, to change duration targets, to rebalance our portfolios or due to relative value determinations.
Net realized gains or losses also includesinclude realized and unrealized contract gains and losses on our derivative instruments, changes in the fair value of assets and liabilities accounted for
using the fair value option
and in the fair value of equities, along with re-measurement of contingent consideration liability amounts.
Net Impairment Losses Recognizedchanges in Earnings.
For 2019, we recorded $3.2 million ofthe allowance for credit related impairmentslosses on financial assets and net impairment losses recognized in earnings, compared to $2.8 million in 2018.earnings. See note 8,9, “Investment Information—Other-Than-Temporary Impairments,Net Realized Gains (Losses), and note 9, “Investment Information—Allowance for Credit Losses,” to our consolidated financial statements in Item 8 for additional information.
Equity in Net Income (Loss) of Investments Accounted for Using the Equity Method.
We recorded $123.7$115.9 million of equity in net income related to investments accounted for using the equity method for 2019,2022, compared to $45.6$366.4 million for 2018.2021. Investments accounted for using the equity method totaled $1.66$3.8 billion at December 31, 2019,2022, compared to $1.49$3.1 billion at December 31, 2018.2021. See note 8,9, “Investment Information—Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method,” to our consolidated financial statements in Item 8 for additional information.
Other Income (Loss)
Other loss for the 2022 period was $26.2 million, compared to other income of $10.2 million for the 2021 period. Amounts in both periods primarily reflect changes in the cash surrender value of our investment in corporate-owned life insurance.
Corporate Expenses.
Corporate expenses were $94.4 million for 2022, compared to $77.1 million for 2021. Such amounts primarily represent certain holding company costs necessary to support our worldwide operations and costs associated with operating as a publicly traded company.
Transaction Costs and Other.
Transaction costs and other were $1.1 million for the 2022 period consistent with $1.1 million for 2021. Amounts in both periods are primarily related to acquisition activity.
Amortization of Intangible Assets.
Amortization of intangible assets for 2022 was $106.2 million, compared to $82.1 million for 2021. Amounts in 2022 and 2021 primarily related to amortization of finite-lived intangible assets. The increase in amortization of intangible assets expense was a result of acquisitions closed during the 2021 period. See note 2, “Acquisitions."
Interest Expense.
Interest expense was $130.3 million for 2022, compared to $131.1 million for 2021. Interest expense primarily reflects amounts related to our outstanding senior notes.

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Net Foreign Exchange Gains or Losses.
Net foreign exchange lossesgains for 20192022 were $9.3$100.9 million, compared to net foreign exchange gains for 20182021 of $58.7$42.9 million. Amounts in such periods were primarily unrealized and resulted from the effects of revaluing our net insurance liabilities required to be settled in foreign currencies at each balance sheet date.
Income Tax Expense.
Our income tax provision on income before income taxes resulted in an expense of 8.7%5.1% for 2019,2022, compared to an expense of 13.1%5.6% for 2018.2021. The effective tax rate for the 2022 period included discrete income tax benefits of $40.6 million, compared to benefits of $39.3 million for 2021. The discrete tax items in both periods primarily related to the release of valuation allowances on certain deferred tax assets. Our effective tax rate fluctuates from year to year consistent with the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.
See note 14,15, “Income Taxes,” to our consolidated financial statements in Item 8 for a reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average statutory tax rate for 20192022 and 2018.2021.
Other SegmentIncome (Loss) from Operating Affiliates.
We recorded $73.9 million of net income from our operating affiliates in the 2022 period, compared to income of $264.7 million in the 2021 period. Results for the 2021 period included a one-time gain of $95.7 million recognized from the Company’s investment in Greysbridge and a one-time gain of $74.5 million recognized from the Company’s investment in Coface SA (“Coface”), a France-based leader in the global trade credit insurance market.
Loss on Redemption of Preferred Shares.
In 2021, we redeemed all 5.25% Series E preferred shares and recorded a loss of $15.1 million to remove original issuance costs related to the redeemed shares from additional paid-in capital. Such adjustment had no impact on total shareholders’ equity or cash flows.
The ‘other’ segment includes the results of Watford. Pursuant to generally accepted accounting principles (“GAAP”), Watford is considered a variable interest entity and we concluded that we are the primary beneficiary of Watford. As such, we consolidate the results of Watford in our consolidated financial statements, although we only own approximately 13% of Watford’s common equity as of December 31, 2019. See
note


SUMMARY OF CRITICAL ACCOUNTING ESTIMATES
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11, “Variable Interest Entity and Noncontrolling Interests,” and note 4, “Segment Information,” to our consolidated financial statements in Item 8 for additional information.
CRITICAL ACCOUNTING POLICIES, ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS
The preparation of consolidated financial statements in accordance with GAAP requires us to make many estimates and judgments that affect the reported amounts of assets, liabilities (including reserves), revenues and expenses, and related disclosures of contingent liabilities. On an ongoing basis, we evaluate our estimates, including those related to revenue recognition, insurance and other reserves, reinsurance recoverables, allowance for doubtful accounts,current expected credit losses, investment valuations, goodwill and intangible assets, bad debts, income taxes, contingencies and litigation. We base our estimates on historical experience, where possible, and on various other assumptions that we believe to be reasonable under the circumstances, which form the basis for our judgments about the carrying values of assets and liabilities that are not readily apparent from other sources. Actual results will differ from these estimates and such differences may be material. We believe that the following critical accounting policies affect significant estimates used in the preparation of our consolidated financial statements.
Loss Reserves
We are required by applicable insurance laws and regulations and GAAP to establish reserves for losses and loss adjustment expenses, or Loss Reserves,“Loss Reserves”, that arise from the business we underwrite. Loss Reserves for our insurance, reinsurance and mortgage operations are balance sheet liabilities representing estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for additional information on our reserving process.


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At December 31, 20192022 and 2018,2021, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, by type and by operating segment were as follows:
December 31,
20222021
Insurance segment:
Case reserves$2,397,881 $2,102,891 
IBNR reserves4,934,5834,269,904
Total net reserves7,332,464 6,372,795 
Reinsurance segment:
Case reserves1,902,899 1,733,571 
Additional case reserves481,523426,531
IBNR reserves3,403,1092,656,527
Total net reserves5,787,531 4,816,629 
Mortgage segment:
Case reserves447,018 741,897 
IBNR reserves186,105226,604
Total net reserves633,123 968,501 
Total:
Case reserves4,747,798 4,578,359 
Additional case reserves481,523426,531
IBNR reserves8,523,7977,153,035
Total net reserves$13,753,118 $12,157,925 
 December 31,
 2019 2018
Insurance segment:   
Case reserves$1,601,627
 $1,489,644
IBNR reserves3,403,051 3,266,796
Total net reserves5,004,678
 4,756,440
Reinsurance segment:   
Case reserves1,273,523
 1,082,917
Additional case reserves166,251 191,002
IBNR reserves1,835,993 1,578,907
Total net reserves3,275,767
 2,852,826
Mortgage segment:   
Case reserves266,030
 355,606
IBNR reserves157,712 122,304
Total net reserves (1)423,742
 477,910
Other segment:   
Case reserves478,036
 364,052
Additional case reserves29,059
 36,512
IBNR reserves597,910
 551,266
Total net reserves1,105,005
 951,830
Total:   
Case reserves3,619,216
 3,292,219
Additional case reserves195,310 227,514
IBNR reserves5,994,666 5,519,273
Total net reserves$9,809,192
 $9,039,006
(1)At December 31, 2019, total net reserves include $278.7 million from U.S. primary mortgage insurance business, of which 57.8% represents policy years 2009 and prior and the remainder from later policy years. At December 31, 2018, total net reserves include $375.8 million from U.S. primary mortgage insurance business, of which 73.4% represents policy years 2009 and prior and the remainder from later policy years.


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At December 31, 20192022 and 2018,2021, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20222021
Professional lines$2,069,912 $1,673,615 
Construction and national accounts1,558,4661,490,206
Programs843,094793,187
Excess and surplus casualty786,494657,307
Property, energy, marine and aviation763,531599,093
Travel, accident and health138,81496,051
Warranty and lenders solutions46,73358,351
Other1,125,4201,004,985
Total net reserves$7,332,464 $6,372,795 
 December 31,
 2019 2018
Professional lines (1)$1,322,969
 $1,247,914
Construction and national accounts1,248,750
 1,166,143
Excess and surplus casualty (2)564,254
 631,370
Programs571,926
 482,045
Property, energy, marine and aviation371,822
 388,710
Travel, accident and health109,613
 83,836
Lenders products28,233
 52,007
Other (3)787,111
 704,415
Total net reserves$5,004,678
 $4,756,440
(1)Includes professional liability, executive assurance and healthcare business.
(2)Includes casualty and contract binding business.
(3)Includes alternative markets, excess workers’ compensation and surety business.
At December 31, 20192022 and 2018,2021, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20222021
Casualty$2,342,077 $2,123,360 
Other specialty1,475,7021,113,766
Property excluding property catastrophe993,454711,859
Property catastrophe535,844486,911
Marine and aviation291,548246,861
Other148,906133,872
Total net reserves$5,787,531 $4,816,629 
 December 31,
 2019 2018
Casualty (1)$1,796,073
 $1,551,550
Other specialty (2)649,309
 582,420
Property excluding property catastrophe (3)471,775
 422,612
Marine and aviation160,930
 130,683
Property catastrophe113,565
 90,635
Other (4)84,115
 74,926
Total net reserves$3,275,767
 $2,852,826
(1)Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.
(2)Includes non-excess motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
(3)Includes facultative business.
(4)Includes life, casualty clash and other.
At December 31, 2022 and 2021, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
December 31,
20222021
U.S. primary mortgage insurance (1)$415,242 $710,708 
U.S. credit risk transfer (CRT) and other108,910 112,549 
International mortgage insurance/reinsurance108,971 145,244 
Total net reserves$633,123 $968,501 
(1)    At December 31, 2022, 33.8% of total net reserves represent policy years 2012 and prior and the remainder from later policy years. At December 31, 2021, 27.9% of total net reserves represent policy years 2012 and prior and the remainder from later policy years.
Potential Variability in Loss Reserves
The following tables below summarize the effect of reasonably likely scenarios on the key actuarial assumptions used to estimate our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, at December 31, 20192022 by underwriting segment (excludingand reserving lines. See note 6, “Short Duration Contracts,” to our consolidated financial statements in Item 8 for a description of the ‘other’ segment). lines of business included in each reserving line.
The scenarios shown in the tables summarize the effect of (i) changes to the expected loss ratio selections used at December 31, 2019,2022, which represent loss ratio point increases or decreases to the expected loss ratios used, and (ii) changes to the loss development patterns used in our reserving process at December 31, 2019,2022, which represent claims reporting that is either slower or faster than the reporting patterns used. We believe that the illustrated sensitivities are indicative of the potential variability inherent in the estimation process of those parameters. The results show
the impact of varying each key actuarial assumption using the chosen sensitivity on our IBNR reserves, on a net basis and across all accident years.
INSURANCE SEGMENTHigher Expected Loss Ratios Slower Loss Development Patterns
Reserving lines selected assumptions:   
Property, energy, marine and aviation5 points
 3 months
Third party occurrence business10
 6
Third party claims-made business10
 6
Multi-line and other specialty10
 6
    
Increase (decrease) in Loss Reserves:   
Property, energy, marine and aviation$16,404
 $22,858
Third party occurrence business257,686
 139,243
Third party claims-made business112,089
 120,769
Multi-line and other specialty126,168
 121,377

INSURANCE SEGMENTLower Expected Loss Ratios Faster Loss Development Patterns
Reserving lines selected assumptions:   
Property, energy, marine and aviation(5) points
 (3) months
Third party occurrence business(10)
 (6)
Third party claims-made business(10)
 (6)
Multi-line and other specialty(10)
 (6)
    
Increase (decrease) in Loss Reserves:   
Property, energy, marine and aviation$(16,331) $(19,345)
Third party occurrence business(257,381) (123,113)
Third party claims-made business(112,060) (98,892)
Multi-line and other specialty(119,211) (81,804)
REINSURANCE SEGMENTHigher Expected Loss Ratios Slower Loss Development Patterns
Reserving lines selected assumptions:   
Casualty10 points
 6 months
Other specialty5
 3
Property excluding property catastrophe5
 3
Property catastrophe5
 3
Marine and aviation5
 3
Other5
 3
    
Increase (decrease) in Loss Reserves:   
Casualty$130,546
 $154,027
Other specialty59,901
 36,615
Property excluding property catastrophe17,308
 43,876
Property catastrophe5,113
 8,885
Marine and aviation8,462
 13,641
Other5,926
 4,666


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INSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation5 points3 months
Third party occurrence business106
Third party claims-made business106
Multi-line and other specialty106
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$44,139 $93,943 
Third party occurrence business209,293 100,645 
Third party claims-made business385,410 210,223 
Multi-line and other specialty235,811 104,475 
INSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Property, energy, marine and aviation(5) points(3) months
Third party occurrence business(10)(6)
Third party claims-made business(10)(6)
Multi-line and other specialty(10)(6)
Increase (decrease) in Loss Reserves:
Property, energy, marine and aviation$(44,139)$(60,941)
Third party occurrence business(207,906)(82,490)
Third party claims-made business(382,587)(173,800)
Multi-line and other specialty(197,682)(71,891)
REINSURANCE SEGMENTLower Expected Loss Ratios Faster Loss Development PatternsREINSURANCE SEGMENTHigher Expected Loss RatiosSlower Loss Development Patterns
Reserving lines selected assumptions:   Reserving lines selected assumptions:
Casualty(10) points
 (6) months
Casualty10 points6 months
Other specialty(5)
 (3)
Other specialty53
Property excluding property catastrophe(5)
 (3)
Property excluding property catastrophe53
Property catastrophe(5)
 (3)
Property catastrophe53
Marine and aviation(5)
 (3)
Marine and aviation53
Other(5)
 (3)
Other53
   
Increase (decrease) in Loss Reserves:   Increase (decrease) in Loss Reserves:
Casualty$(130,528) $(117,413)Casualty$192,747 $220,372 
Other specialty(59,901) (58,314)Other specialty140,889 102,342 
Property excluding property catastrophe(17,309) (39,376)Property excluding property catastrophe41,745 101,294 
Property catastrophe(5,113) (5,723)Property catastrophe31,774 52,223 
Marine and aviation(8,473) (14,715)Marine and aviation14,524 25,618 
Other(5,926) (4,378)Other8,541 5,591 
REINSURANCE SEGMENTLower Expected Loss RatiosFaster Loss Development Patterns
Reserving lines selected assumptions:
Casualty(10) points(6) months
Other specialty(5)(3)
Property excluding property catastrophe(5)(3)
Property catastrophe(5)(3)
Marine and aviation(5)(3)
Other(5)(3)
Increase (decrease) in Loss Reserves:
Casualty$(192,743)$(167,558)
Other specialty(140,889)(147,647)
Property excluding property catastrophe(41,745)(99,642)
Property catastrophe(31,774)(32,967)
Marine and aviation(14,715)(27,465)
Other(8,541)(5,086)
It is not necessarily appropriate to sum the total impact for a specific factor or the total impact for a specific business category as the business categories are not perfectly correlated. In addition, the potential variability shown in the tables above are reasonably likely scenarios of changes in our key assumptions at December 31, 20192022 and are not meant to be a “best case” or “worst case” series of outcomes and therefore, it is possible that future variations may be more or less than the amounts set forth above.
For our mortgage segment, we considered the sensitivity of loss reserve estimates at December 31, 20192022 by assessing the potential changes resulting from a parallel shift in severity and default to claim rate. For example, assuming all other factors remain constant, for every one percentage point change in primary claim severity (which we estimate to be approximately 30% of the unpaid principal balance at December 31, 2019)2022), we estimated that our loss reserves would change by approximately $14.0$21.0 million at December 31, 2019.2022. For every one percentage point change in our primary net default to claim rate (which we estimate to be approximately 25%37% at December 31, 2019)2022), we estimated a $17.0 million change in our loss reserves at December 31, 2019.2022.

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Simulation Results
In order to illustrate the potential volatility in our Loss Reserves, we used a Monte Carlo simulation approach to simulate a range of results based on various probabilities. Both the probabilities and related modeling are subject to inherent uncertainties. The simulation relies on a significant number of assumptions, such as the potential for multiple entities to react similarly to external events, and includes other statistical assumptions. The simulation results shown for each segment do not add to the total simulation results, as the individual segment simulation results do not reflect the diversification effects across our segments.
At December 31, 2019,2022, our recorded Loss Reserves by underwriting segment, net of unpaid losses and loss adjustment expenses recoverable, and the results of the simulation were as follows:
Insurance SegmentReinsurance SegmentMortgage SegmentTotal
Loss
Reserves (1)
$7,332,464 $5,787,531 $633,123 $13,753,118 
Simulation results:
90th percentile (2)$8,611,623 $7,054,715 $757,900 $16,070,373 
10th percentile (3)$6,091,636 $4,614,229 $517,006 $11,544,929 
 Insurance Segment Reinsurance Segment Mortgage Segment Total
Loss
Reserves (1)

$5,004,678
 
$3,275,767
 
$423,742
 
$8,704,187
        
Simulation results:       
90th percentile (2)
$6,020,835
 
$4,117,091
 
$507,130
 
$10,173,177
10th percentile (3)
$3,975,992
 
$2,548,680
 
$346,009
 
$6,777,556
(1)    Net of reinsurance recoverables.
(1)Net of reinsurance recoverables. Excludes amounts reflected in the ‘other’ segment.
(2)Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.
(3)Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.
(2)    Simulation results indicate that a 90% probability exists that the net reserves for losses and loss adjustment expenses will not exceed the indicated amount.
(3)    Simulation results indicate that a 10% probability exists that the net reserves for losses and loss adjustment expenses will be at or below the indicated amount.

For informational purposes, based on the total simulation results, a change in our Loss Reserves to the amount indicated at the 90th percentile would result in a decrease in income before income taxes of approximately $1.47$2.3 billion, or $3.55$6.14 per diluted share, while a change in our Loss Reserves to the amount indicated at the 10th percentile would result in an increase in income before income taxes of approximately $1.44$2.2 billion, or $3.47$5.85 per diluted share. The simulation results noted above are informational only, and no assurance can be given that our ultimate losses will not be significantly different than the simulation results shown above, and such differences could directly and significantly impact earnings favorably or unfavorably in the period they are determined. We do not have significant exposure to pre-2002 liabilities, such as asbestos-related illnesses and other long-tail liabilities. It is difficult to provide meaningful trend information for certain liability/casualty coverages for which the claim-tail may be especially long, as claims are often reported and ultimately paid or settled years, or even decades, after the related loss events occur. Any
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estimates and assumptions made as part of the reserving process could prove to be inaccurate due to several factors, including the fact that for certain lines of business relatively limited historical information has been reported to us through December 31, 2019.2022. Accordingly, the reserving for incurred losses in these lines of business could be subject to greater variability. See Item 1A, “Risk Factors – Risks Relating to Our Industry, Business & Operations – Underwriting risks and reserving for losses are based on probabilities and related modeling, which are subject to inherent uncertainties.”
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at December 31, 20192022 and 2018:2021:
(U.S. Dollars in millions)December 31,
20222021
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$295,651 57.6 $280,945 61.0 
U.S. credit risk transfer
(CRT) and other (2)
145,087 28.3 110,018 23.9 
International mortgage
insurance/reinsurance (3)
72,315 14.1 69,655 15.1 
Total$513,053 100.0 $460,618 100.0 
Risk In Force (RIF) (4):
U.S. primary mortgage insurance$75,806 84.8 $70,619 84.3 
U.S. credit risk transfer
(CRT) and other (2)
6,245 7.0 5,120 6.1 
International mortgage
insurance/reinsurance (3)
7,369 8.2 7,983 9.5 
Total$89,420 100.0 $83,722 100.0 
(1)    Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.
(2)    Includes all CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
(3)    International mortgage insurance and reinsurance with risk primarily located in Australia and to lesser extent Europe and Asia.
(4)    The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for risk-sharing or reinsurance transactions.

(U.S. Dollars in millions)December 31,
2019
2018
 Amount % Amount %
Insurance In Force (IIF) (1):       
U.S. primary mortgage insurance$287,150
 68.7
 $276,538
 72.1
Mortgage reinsurance26,768
 6.4
 25,975
 6.8
Other (2)104,346
 24.9
 81,147
 21.2
Total$418,264
 100.0
 $383,660
 100.0
Risk In Force (RIF) (3):       
U.S. primary mortgage insurance$73,388
 91.9
 $70,995
 92.3
Mortgage reinsurance2,129
 2.7
 2,217
 2.9
Other (2)4,380
 5.5
 3,728
 4.8
Total$79,897
 100.0
 $76,940
 100.0
(1)ARCH CAPITALRepresents the aggregate dollar amount of each insured mortgage loan’s current principal balance.752022 FORM 10-K
(2)Includes participation in GSE credit risk-sharing transactions and international insurance business.
(3)Represents the aggregate amount of each insured mortgage loan’s current principal balance multiplied by the insurance coverage percentage specified in the policy for insurance policies issued and after contract limits and/or loss ratio caps for credit risk-sharing or reinsurance transactions.


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The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2022:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2012 and prior$9,931 3.4 $2,424 3.2 8.41 %
20133,000 1.0 798 1.1 1.85 %
20143,696 1.3 1,012 1.3 2.61 %
20156,236 2.1 1,680 2.2 2.08 %
201610,225 3.5 2,744 3.6 2.66 %
20179,508 3.2 2,521 3.3 3.06 %
201810,260 3.5 2,625 3.5 4.11 %
201919,096 6.5 4,840 6.4 2.36 %
202065,141 22.0 16,414 21.7 1.20 %
202189,621 30.3 22,740 30.0 0.95 %
202268,937 23.3 18,008 23.8 0.20 %
Total$295,651 100.0 $75,806 100.0 1.77 %
(1)Represents the ending percentage of loans in default.
The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2019:2021:
(U.S. Dollars in millions)IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2012 and prior$13,030 4.6 $2,960 4.2 8.48 %
20134,206 1.5 1,148 1.6 2.63 %
20144,822 1.7 1,328 1.9 3.14 %
20158,703 3.1 2,340 3.3 2.67 %
201614,344 5.1 3,841 5.4 3.29 %
201713,128 4.7 3,436 4.9 4.09 %
201814,046 5.0 3,562 5.0 5.28 %
201925,841 9.2 6,467 9.2 3.13 %
202082,502 29.4 20,341 28.8 0.97 %
2021100,323 35.7 25,196 35.7 0.29 %
Total$280,945 100.0 $70,619 100.0 2.36 %
(1)Represents the ending percentage of loans in default.

(U.S. Dollars in millions)IIF RIF Delinquency
Amount % Amount % Rate (1)
Policy year:         
2009 and prior$16,903
 5.9
 $3,900
 5.3
 8.88%
2010348
 0.1
 90
 0.1
 3.97%
20111,678
 0.6
 464
 0.6
 1.59%
20126,293
 2.2
 1,753
 2.4
 0.89%
201312,276
 4.3
 3,433
 4.7
 0.99%
201413,714
 4.8
 3,778
 5.1
 1.16%
201525,788
 9.0
 6,880
 9.4
 0.87%
201640,898
 14.2
 10,670
 14.5
 1.03%
201743,896
 15.3
 11,262
 15.3
 1.00%
201851,776
 18.0
 13,086
 17.8
 0.86%
201973,580
 25.6
 18,072
 24.6
 0.14%
Total$287,150
 100.0
 $73,388
 100.0
 1.54%
(1)Represents the ending percentage of loans in default.
The insurance in force and risk in force for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2018:
(U.S. Dollars in millions)IIF RIF Delinquency
Amount % Amount % Rate (1)
Policy year:         
2009 and prior$21,210
 7.7
 $4,900
 6.9
 8.90%
2010646
 0.2
 175
 0.2
 2.62%
20112,530
 0.9
 701
 1.0
 1.57%
20129,650
 3.5
 2,664
 3.8
 0.78%
201316,823
 6.1
 4,676
 6.6
 0.89%
201418,274
 6.6
 4,947
 7.0
 0.97%
201533,781
 12.2
 8,849
 12.5
 0.69%
201652,324
 18.9
 13,407
 18.9
 0.77%
201754,287
 19.6
 13,793
 19.4
 0.55%
201867,013
 24.2
 16,883
 23.8
 0.15%
Total$276,538
 100.0
 $70,995
 100.0
 1.60%
(1)Represents the ending percentage of loans in default.
The following tables provide supplemental disclosures on risk in force for our U.S. primary mortgage insurance business at December 31, 20192022 and 2018:2021:
(U.S. Dollars in millions)December 31,
20222021
Amount%Amount%
Credit quality (FICO):
>=740$46,812 61.8 $42,451 60.1 
680-73924,945 32.9 23,646 33.5 
620-6793,772 5.0 4,196 5.9 
<620277 0.4 326 0.5 
Total$75,806 100.0 $70,619 100.0 
Weighted average FICO score750 746 
Loan-to-Value (LTV):
95.01% and above$7,289 9.6 $7,538 10.7 
90.01% to 95.00%43,681 57.6 38,829 55.0 
85.01% to 90.00%20,851 27.5 20,006 28.3 
85.00% and below3,985 5.3 4,246 6.0 
Total$75,806 100.0 $70,619 100.0 
Weighted average LTV92.8 %92.8 %
Total RIF, net of external reinsurance$57,151 $54,574 
(U.S. Dollars in millions)December 31,
2019 2018
Amount % Amount %
Credit quality (FICO):       
>=740$42,301
 57.6
 $41,066
 57.8
680-73925,240
 34.4
 23,954
 33.7
620-6795,444
 7.4
 5,485
 7.7
<620403
 0.5
 490
 0.7
Total$73,388
 100.0
 $70,995
 100.0
Weighted average FICO score743
   743
  
        
Loan-to-Value (LTV):       
95.01% and above$9,064
 12.4
 $7,918
 11.2
90.01% to 95.00%40,136
 54.7
 39,370
 55.5
85.01% to 90.00%20,890
 28.5
 20,643
 29.1
85.00% and below3,298
 4.5
 3,064
 4.3
Total$73,388
 100.0
 $70,995
 100.0
Weighted average LTV93.0%   93.0%  
        
Total RIF, net of external reinsurance$58,512
   $55,755
  
(U.S. Dollars in millions)December 31,
20222021
Amount%Amount%
Total RIF by State:
California$6,341 8.4 $5,559 7.9 
Texas6,151 8.1 5,594 7.9 
Florida3,268 4.3 3,303 4.7 
Georgia3,169 4.2 2,902 4.1 
North Carolina3,160 4.2 2,921 4.1 
Illinois3,081 4.1 2,933 4.2 
Minnesota3,003 4.0 2,916 4.1 
Massachusetts2,809 3.7 2,537 3.6 
Virginia2,656 3.5 2,446 3.5 
Michigan2,618 3.5 2,492 3.5 
Others39,550 52.2 37,016 52.4 
Total$75,806 100.0 $70,619 100.0 


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(U.S. Dollars in millions)December 31,
2019 2018
Amount % Amount %
Total RIF by State:       
Texas$5,678
 7.7
 $5,491
 7.7
California5,187
 7.1
 4,505
 6.3
Florida3,887
 5.3
 3,541
 5.0
Virginia2,881
 3.9
 2,931
 4.1
Georgia2,753
 3.8
 2,573
 3.6
Illinois2,616
 3.6
 2,482
 3.5
Minnesota2,514
 3.4
 2,400
 3.4
Washington2,474
 3.4
 2,408
 3.4
North Carolina2,470
 3.4
 2,505
 3.5
Maryland2,437
 3.3
 2,407
 3.4
Others40,491
 55.2
 39,752
 56.0
Total$73,388
 100.0
 $70,995
 100.0
The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics for the years ended December 31, 20192022 and 2018:2021:
(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
20222021
Rollforward of insured loans in default:
Beginning delinquent number of loans27,645 52,234 
New notices36,396 35,554 
Cures(42,789)(59,372)
Paid claims(685)(771)
Ending delinquent number of loans (1)20,567 27,645 
Ending number of policies in force (1)1,160,219 1,171,835 
Delinquency rate (1)1.77 %2.36 %
Losses:
Number of claims paid685 771 
Total paid claims$21,412 $30,979 
Average per claim$31.3 $40.2 
Severity (2)73.2 %80.8 %
Average reserve per default (in thousands) (1)$21.1 $26.7 
(U.S. Dollars in thousands, except loan and claim count)Year Ended December 31,
2019 2018
Rollforward of insured loans in default:   
Beginning delinquent number of loans20,665
 27,068
New notices39,017
 37,310
Cures(36,601) (39,896)
Paid claims(2,918) (3,817)
Ending delinquent number of loans (1)20,163
 20,665
    
Ending number of policies in force (1)1,307,884
 1,289,295
    
Delinquency rate (1)1.54% 1.60%
    
Losses:   
Number of claims paid2,918
 3,817
Total paid claims$116,854
 $159,474
Average per claim$40.0
 $41.8
Severity (2)96.0% 102.0%
Average reserve per default (in thousands) (1)$13.3
 $17.4
(1)    Includes first lien primary and pool policies.
(1)Includes first lien primary and pool policies.
(2)Represents total paid claims divided by RIF of loans for which claims were paid.
(2)    Represents total paid claims divided by RIF of loans for which claims were paid.

The risk-to-capital ratio, which represents total current (non-delinquent) risk in force, net of reinsurance, divided by total statutory capital, for Arch MI U.S. was approximately 12.07.2 to 1 at December 31, 2019,2022, compared to 13.08 to 1 at December 31, 2018.2021.
Ceded Reinsurance
In the normal course of business, our insurance and mortgage insurance operations cede a portion of their premium on a quota share or excess of loss basis through treaty or facultative reinsurance agreements. Our reinsurance operations also obtain reinsurance whereby another reinsurer contractually agrees to indemnify it for all or a portion of the reinsurance risks
underwritten by our reinsurance operations. Such arrangements, where one reinsurer provides reinsurance to another reinsurer, are usually referred to as “retrocessional reinsurance” arrangements. In addition, our reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as our reinsurance operations, and the ceding company. Estimating reinsurance recoverables can be more subjective than estimating the underlying reserves for losses and loss adjustment expenses as discussed above in “—Loss Reserves.” In particular, reinsurance recoverables may be affected by deemed inuring reinsurance, industry losses
reported by various statistical reporting services, and other factors. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, our insurance or reinsurance operations would be liable for such defaulted amounts.
The availability and cost of reinsurance and retrocessional protection is subject to market conditions, which are beyond our control. Although we believe that our insurance and reinsurance operations have been successful in obtaining adequate reinsurance and retrocessional protection, it is not certain that they will be able to continue to obtain adequate protection at cost effective levels. As a result of such market conditions and other factors, our insurance, reinsurance and mortgage operations may not be able to successfully mitigate risk through reinsurance and retrocessional arrangements and may lead to increased volatility in our results of operations in future periods. See “Risk Factors—Risks Relating to Our Industry—Industry, Business and Operations—The failure of any of the loss limitation methods we employ could have a material adverse effect on our financial condition or results of operations.”
Effective January 1, 2020, our insurance operations had in effect a reinsurance program which provided coverage for certain property-catastrophe related losses equal to $256 million in excess of various retentions per occurrence.
For purposes of managing risk, we reinsure a portion of our exposures, paying to reinsurers a part of the premiums received on the policies we write, and we may also use retrocessional protection. On a consolidated basis, ceded premiums written represented 25.8%27.7% of gross premiums written for 2019,2022, compared to 23.2%29.3% for 2018.2021. We monitor the financial condition of our reinsurers and attempt to place coverages only with substantial, financially sound carriers. If the financial condition of our reinsurers or retrocessionaires deteriorates, resulting in an impairment of their ability to make payments, we will providebe responsible for probable losses resulting from our inability to collect amounts due from such parties, as appropriate. We evaluate the credit worthiness of all the reinsurers to which we cede business. IfWe report reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon our analysis indicates that there is significant uncertainty regardingongoing review of amounts outstanding, the financial condition of our ability to collectreinsurers, amounts due from reinsurers, managing general agents, brokersand form of collateral obtained and other clients, we will record a provisionrelevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for doubtful accounts.expected credit loss. See “Risk Factors—Risks Relating to Our Company—Industry, Business and Operations—We are exposed to


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credit risk in certain of our business operations” and “Financial Condition, Liquidity and Capital Resources” for further details.
We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have

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the unilateral power to direct those activities that are significant to its economic performance. As of December 31, 2022, our estimated off-balance sheet maximum exposure to loss from such entities was $26.8 million. See note 12, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for additional information.
Premium Revenues and Related Expenses
Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in our insurance operations’ programs, specialty lines, collateral protection business and for participation in involuntary pools. Such premium estimates are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by our own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of our experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to us. On an ongoing basis, our underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account our historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which we assume business generally contain specific provisions which allow us to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined. Premiums written are recorded based on the type of contracts we write. Premiums on our excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks incept and are based on information provided by the
brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as premiums written at each successive anniversary date within the multi-year term.
Reinstatement premiums for our insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment, as described above in “—Reserves for Losses and Loss Adjustment Expenses.Reserves.
The amount of reinsurance premium estimates included in premiums receivable and the amount of related acquisition expenses by type of business were as follows at December 31, 2019:2022:
December 31, 2019December 31, 2022
Gross Amount Acquisition Expenses Net
Amount
Gross AmountAcquisition ExpensesNet
Amount
Other specialty$222,881
 $(56,628) $166,253
Other specialty$1,211,598 $(381,502)$830,096 
Property excluding property catastropheProperty excluding property catastrophe390,612 (123,720)266,892 
Casualty172,129
 (53,074) 119,055
Casualty388,091 (114,028)274,063 
Property excluding property catastrophe80,134
 (27,316) 52,818
Marine and aviation46,962
 (12,159) 34,803
Marine and aviation203,125 (43,922)159,203 
Property catastrophe4,475
 (814) 3,661
Property catastrophe49,078 (5,850)43,228 
Other64,578
 (7,182) 57,396
Other69,297 (5,004)64,293 
Total$591,159
 $(157,173) $433,986
Total$2,311,801 $(674,026)$1,637,775 
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned.
A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts. Based on currently available information, management believes that the premium estimates included inwe report premiums receivable will be collectiblenet of an allowance for expected credit loss. We monitor credit risk associated with premiums receivable through our ongoing

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review of amounts outstanding, aging of the receivable, historical data and therefore, no provision for doubtful accounts has been recorded on the premium estimates at December 31, 2019.counterparty financial strength measures.
Reinsurance premiums assumed, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying


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insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period.
Certain of our reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, we bifurcate the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, we are not able to re-underwrite or re-price our policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies
related to insured loans are canceled for any reason and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds
reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, we estimate the rate of amortization to reflect actual experience and any changes to persistency or loss development.
Acquisition expenses and other expenses related to our underwriting operations that vary with, and are directly related to, the successful acquisition or renewal of business are deferred and amortized based on the type of contract. Our insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For our mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs and anticipated investment income exceed unearned premiums. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.

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To assess the need for a PDR on our mortgage exposures, we develop loss projections based on modeled loan defaults related to our current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected profitability of our existing mortgage insurance business and the need for a PDR for our mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues. The models, assumptions and estimates we use to evaluate the need for a PDR may prove to be inaccurate,


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especially during an extended economic downturn or a period of extreme market volatility and uncertainty.
No premium deficiency charges were recorded by us during 2019 and 2018.2022 or 2021.

Fair Value Measurements
We review our securities measured at fair value and discuss the proper classification of such investments with investment advisors and others. See note 9,10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 20192022 by valuation hierarchy.
Reclassifications
We have reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on our net income, shareholders’ equity or cash flows.
Significant Accounting Pronouncements
For all other significant accounting policies see note 3, “Significant Accounting Policies” and note 3-(r)3(t), “Recent Accounting Pronouncements” to our consolidated financial statements in Item 8 for disclosures concerning our companies significant accounting policies and recent accounting pronouncements.


FINANCIAL CONDITION
Investable Assets
At December 31, 2019,2022, total investable assets held by Arch were $22.29 billion, excluding the $2.70 billion included in the ‘other’ segment (i.e., attributable to Watford).$28.1 billion.
Investable Assets Held by Arch 
The Finance, Investment and Risk Committee (“FIR”FIR Committee”) of our boardBoard of directorsDirectors (the “Board”) establishes our investment policies and sets the parameters for creating guidelines for our investment managers. The FIR reviews the implementation of the investment strategy on a regular basis. Our current approach stresses preservation of capital, market liquidity and diversification of risk. While maintaining our emphasis on preservation of capital and liquidity, we expect our portfolio to become more diversified and, as a result, we may expand into areas which are not currently part of our investment strategy. Our Chief Investment Officer administers the investment portfolio, oversees our investment managers and formulates investment strategy in conjunction with the FIR.
The following table summarizes the fair value of investable assets held by Arch (i.e., excluding the ‘other’ segment):
Investable assets (1):
Estimated
Fair Value
 
% of
Total
December 31, 2019   
Fixed maturities (2)$16,894,021
 75.8
Short-term investments (2)1,004,257
 4.5
Cash623,793
 2.8
Equity securities (2)827,842
 3.7
Other investments1,336,920
 6.0
Investments accounted for using the equity method1,660,396
 7.5
Securities transactions entered into but not settled at the balance sheet date(61,553) (0.3)
Total investable assets held by Arch$22,285,676
 100.0
    
Average effective duration (in years)3.40
  
Average S&P/Moody’s credit ratings (3)AA/Aa2
  
Embedded book yield (4)2.55%  
    
December 31, 2018   
Fixed maturities (2)$14,881,902
 76.1
Short-term investments (2)995,926
 5.1
Cash583,027
 3.0
Equity securities (2)368,843
 1.9
Other investments1,261,525
 6.4
Investments accounted for using the equity method1,493,791
 7.6
Securities transactions entered into but not settled at the balance sheet date(18,153) (0.1)
Total investable assets held by Arch$19,566,861
 100.0
    
Average effective duration (in years)3.38
  
Average S&P/Moody’s credit ratings (3)AA/Aa2
  
Embedded book yield (4)2.89%  
(1)In securities lending transactions, we receive collateral in excess of the fair value of the securities pledged. For purposes of this table, we have excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value.
(2)Includes investments carried as available for sale, at fair value and at fair value under the fair value option.
(3)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).
(4)Before investment expenses.
FIR Committee. At December 31, 2019,2022, approximately $15.80$18.8 billion, or 71%67%, of total investable assets held by Arch were internally managed, compared to $14.08$18.5 billion, or 72%67%, at December 31, 2018.2021.
The following table summarizes the fair value of investable assets held by Arch:
December 31,
20222021
Average effective duration (in years)2.89 2.70 
Average S&P/Moody’s credit ratings (1)AA-/Aa3AA-/Aa3
(1)Average credit ratings on our investment portfolio on securities with ratings by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).


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The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
 
Estimated
Fair Value
 
% of
Total
December 31, 2019 
  
Corporate bonds$6,561,354
 38.8
Mortgage backed securities541,800
 3.2
Municipal bonds880,119
 5.2
Commercial mortgage backed securities734,244
 4.3
U.S. government and government agencies4,632,947
 27.4
Non-U.S. government securities1,995,813
 11.8
Asset backed securities1,547,744
 9.2
Total$16,894,021
 100.0
    
December 31, 2018 
  
Corporate bonds$5,735,526
 38.5
Mortgage backed securities535,763
 3.6
Municipal bonds1,012,308
 6.8
Commercial mortgage backed securities729,442
 4.9
U.S. government and government agencies3,601,269
 24.2
Non-U.S. government securities1,713,891
 11.5
Asset backed securities1,553,703
 10.4
Total$14,881,902
 100.0
The following table provides the credit quality distribution of our Fixed Maturities. For individual fixed maturities, S&P ratings are used. In the absence of an S&P rating, ratings from Moody’s are used, followed by ratings from Fitch Ratings.
Estimated Fair Value% of
Total
December 31, 2022
U.S. government and gov’t agencies (1)$5,829,279 28.8 
AAA3,616,537 17.9 
AA2,214,494 10.9 
A3,993,471 19.7 
BBB3,324,095 16.4 
BB560,213 2.8 
B377,462 1.9 
Lower than B12,029 0.1 
Not rated309,329 1.5 
Total$20,236,909 100.0 
December 31, 2021
U.S. government and gov’t agencies (1)$5,063,191 27.5 
AAA3,783,386 20.5 
AA2,459,413 13.4 
A2,943,594 16.0 
BBB2,936,398 15.9 
BB501,588 2.7 
B371,747 2.0 
Lower than B43,756 0.2 
Not rated311,734 1.7 
Total$18,414,807 100.0 
(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.
 Estimated Fair Value 
% of
Total
December 31, 2019   
U.S. government and gov’t agencies (1)$5,215,489
 30.9
AAA3,392,341
 20.1
AA2,115,828
 12.5
A3,849,458
 22.8
BBB1,495,467
 8.9
BB355,803
 2.1
B216,663
 1.3
Lower than B56,865
 0.3
Not rated196,107
 1.2
Total$16,894,021
 100.0
    
December 31, 2018   
U.S. government and gov’t agencies (1)$4,194,676
 28.2
AAA3,551,039
 23.9
AA2,129,336
 14.3
A3,069,656
 20.6
BBB1,251,205
 8.4
BB275,201
 1.8
B183,614
 1.2
Lower than B61,271
 0.4
Not rated165,904
 1.1
Total$14,881,902
 100.0
(1)Includes U.S. government-sponsored agency mortgage backed securities and agency commercial mortgage backed securities.
The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturities which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair Value 
Gross
Unrealized
Losses
 
% of
Total Gross
Unrealized
Losses
Severity of gross unrealized losses:Estimated Fair ValueGross
Unrealized
Losses
% of
Total Gross
Unrealized
Losses
December 31, 2019     
December 31, 2022December 31, 2022
0-10%$4,329,484
 $(51,023) 95.5
0-10%$12,342,899 $(579,958)35.2 
10-20%12,405
 (1,796) 3.4
10-20%5,331,223 (843,924)51.3 
20-30%830
 (273) 0.5
20-30%692,100 (198,778)12.1 
Greater than 30%315
 (363) 0.7
Greater than 30%44,023 (23,739)1.4 
Total$4,343,034
 $(53,455) 100.0
Total$18,410,245 $(1,646,399)100.0 
     
December 31, 2018     
December 31, 2021December 31, 2021
0-10%$8,722,837
 $(190,170) 92.5
0-10%$12,231,146 $(166,867)97.6 
10-20%87,188
 (13,012) 6.3
10-20%16,884 (2,412)1.4 
20-30%3,359
 (1,058) 0.5
20-30%2,593 (759)0.4 
Greater than 30%2,363
 (1,266) 0.6
Greater than 30%684 (916)0.5 
Total$8,815,747
 $(205,506) 100.0
Total$12,251,307 $(170,954)100.0 
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at December 31, 2019,2022, excluding guaranteed amounts and covered bonds:
 Estimated Fair Value 
Credit
Rating (1)
Bank of America Corporation$272,554
 A-/A2
Apple Inc.202,082
 AA+/Aa1
Citigroup Inc.198,996
 A/A1
JPMorgan Chase & Co.198,863
 A-/A2
Wells Fargo & Company197,376
 A-/A1
Morgan Stanley144,345
 BBB+/A3
HSBC Holdings plc135,564
 A/A2
BP p.l.c.115,446
 A-/A1
Nestlé S.A.115,138
 AA-/Aa3
The Goldman Sachs Group, Inc.114,798
 BBB+/A3
Total$1,695,162
  
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.


ARCH CAPITAL73Estimated Fair Value2019 FORM 10-KCredit
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Bank of America Corporation$430,071 A-/A2
JPMorgan Chase & Co.296,901 A-/A1
Morgan Stanley290,477 A-/A1
Citigroup Inc.270,074 BBB+/A3
The Goldman Sachs Group, Inc.249,547 BBB+/A2
Wells Fargo & Company242,538 BBB+/A1
Blue Owl Capital Inc.164,098 BBB-/Baa3
Blackstone Inc.150,691 BBB-/Baa3
UBS Group AG130,244 A/Aa3
Spring Funding II Llc121,221 NA/NA
Total$2,345,862 
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

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The following table provides information on our structured securities, which include residential mortgage-backed securities (RMBS)(“RMBS”), commercial mortgage-backed securities (CMBS)(“CMBS”) and asset backed securities (“ABS”):
 Agencies Investment Grade Below Investment Grade Total
Dec. 31, 2019  

 

  
RMBS$503,929
 $7,770
 $30,101
 $541,800
CMBS78,612
 629,424
 26,208
 734,244
ABS
 1,483,449
 64,295
 1,547,744
Total$582,541
 $2,120,643
 $120,604
 $2,823,788
   

 

  
Dec. 31, 2018  

 

  
RMBS$488,862
 $15,410
 $31,491
 $535,763
CMBS104,547
 602,865
 22,030
 729,442
ABS
 1,485,150
 68,553
 1,553,703
Total$593,409
 $2,103,425
 $122,074
 $2,818,908
At December 31, 2019, our investment portfolio included $827.8 million of equity securities, compared to $368.8 million at December 31, 2018. Our equity portfolio includes publicly traded common stocks in the natural resources, energy, consumer staples and other sectors.
AgenciesInvestment GradeBelow Investment GradeTotal
Dec. 31, 2022
RMBS$645,008 $133,958 $16,425 $795,391 
CMBS17,680 947,396 82,199 1,047,275 
ABS— 1,787,684 140,785 1,928,469 
Total$662,688 $2,869,038 $239,409 $3,771,135 
Dec. 31, 2021
RMBS$268,229 $129,296 $10,952 $408,477 
CMBS22,198 926,302 97,984 1,046,484 
ABS— 2,543,907 152,551 2,696,458 
Total$290,427 $3,599,505 $261,487 $4,151,419 
The following table summarizes our otherequity securities, which include investments which are accounted for using the fair value option:in exchange traded funds:
December 31,
20222021
Equities (1)$569,239 $883,722 
Exchange traded funds
Fixed income (2)272,407 455,467 
Equity and other (3)32,115 491,474 
Total$873,761 $1,830,663 
 December 31,
 2019 2018
Term loan investments264,083
 281,635
Lending602,841
 524,112
Credit related funds123,020
 152,361
Energy97,402
 117,509
Investment grade fixed income151,594
 101,902
Infrastructure61,786
 45,371
Private equity18,915
 24,383
Real estate17,279
 14,252
Total fair value option$1,336,920
 $1,261,525
(1)Primarily in healthcare, technology, consumer cyclical and non-cyclical and industrials at December 31, 2022.
The following table summarizes our investments accounted for using the equity method, by strategy:(2)Primarily in corporate at December 31, 2022.
(3)Primarily in large cap stocks, foreign equities, healthcare, technology and consumer discretionary at December 31, 2022.

December 31,

2019 2018
Credit related funds$428,437
 $429,402
Equities293,686
 375,273
Real estate246,851
 232,647
Lending202,690
 125,041
Private equity144,983
 114,019
Infrastructure235,033
 113,748
Energy108,716
 103,661
Total$1,660,396
 $1,493,791
Our investment strategy allows for the use of derivative instruments. We utilize various derivative instruments such as futures contracts to enhance investment performance, replicate investment positions or manage market exposures and duration
risk that would be allowed under our investment guidelines if implemented in other ways. See note 10,11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. See note 9,10, “Fair Value,” to our consolidated financial statements in Item 8 for a summary of our financial assets and liabilities measured at fair value at December 31, 20192022 and 20182021 segregated by level in the fair value hierarchy.
Investable Assets in the ‘Other’ Segment
Investable assets in the ‘other’ segment are managed by Watford. The board of directors of Watford establishes their investment policies and guidelines.
The following table summarizes investable assets in the ‘other’ segment:
 December 31,
 2019 2018
Investments accounted for using the fair value option:   
Other investments$1,092,396
 $1,050,414
Fixed maturities416,592
 922,819
Short-term investments329,303
 282,131
Equity securities59,799
 56,638
Total1,898,090
 2,344,208
Fixed maturities available for sale, at fair value706,875
 393,351
Equity securities65,337
 32,206
Cash102,437
 63,529
Securities sold but not yet purchased(66,257) (7,790)
Securities transactions entered into but not settled at the balance sheet date(1,893) (35,635)
Total investable assets included in ‘other’ segment$2,704,589
 $2,757,663
Reinsurance Recoverables
At December 31, 2019 and 2018, approximately 61.2% and 63.0% of reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) of $4.35 billion and $2.92 billion, respectively, were due from carriers which had an A.M. Best rating of “A-” or better while 38.8% and 37.0%, respectively, were from companies not rated. For items not rated, over 90% of such amount was collateralized through reinsurance trusts or letters of credit at December 31, 2019 and 2018. The largest reinsurance recoverables from any one carrier was approximately 1.7% and 2.7%, respectively, of total shareholders’ equity available to Arch at December 31, 2019 and 2018.


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The following table details our reinsurance recoverables at December 31, 2019:
2022:
% of Total
A.M. Best

Rating (1)
Lloyd’s syndicatesSomers Re (2)8.017.7 
A
Everest Reinsurance Company4.4
A+A-
Hannover Rück SE4.24.6 
A+
Lloyd’s syndicates (3)3.6 A
Swiss Reinsurance America Corporation3.63.3 
A+
AXA XL3.2
A+
PartnerEverest Reinsurance Company of the U.S.3.03.2 
A+
Munich Reinsurance America, Inc.3.03.1 
A+
Fortitude Reinsurance Company Ltd.2.9 A
Partner Reinsurance Company of the U.S.2.9 A+
XL Re2.5 A+
Berkley Insurance Company2.22.0 
A+
Transatlantic Reinsurance Company2.2
A+
Liberty Mutual Insurance Company2.1
A
Renaissance Reinsurance1.4
A+
All other -- fully collateralized reinsurers (3)13.5
NR
All other -- “A-” or better23.923.0 
All other -- rated carriers0.1 
All other -- not rated (4)25.331.1 
Total100.0
(1)The financial strength ratings are as of February 17, 2020 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” rating is designated “Excellent.”
(2)The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.
(3)Such amount is fully collateralized through reinsurance trusts.
(4)Over 90% of such amount is collateralized through reinsurance trusts or letters of credit.
(1)    The financial strength ratings are as of February 6, 2023 and were assigned by A.M. Best based on its opinion of the insurer’s financial strength as of such date. An explanation of the ratings listed in the table follows: the rating of “A+” is designated “Superior”; and the “A” rating is designated “Excellent.”
(2)    See note 12, “Variable Interest Entity and Noncontrolling Interests”and note 16,Transactions with Related Parties.
(3)    The A.M. Best group rating of “A” (Excellent) has been applied to all Lloyd’s syndicates.
(4)    Over 95% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other.

See note 8, “Reinsurance,” to our consolidated financial statements in Item 8 for further details.
Reserves for Losses and Loss Adjustment Expenses
We establish reserves for losses and LAE (Loss Reserves)Loss Reserves which represent estimates involving actuarial and statistical projections, at a given point in time, of our expectations of the ultimate settlement and administration costs of losses incurred. Estimating Loss Reserves is inherently difficult, which is exacerbated by the fact that we have relatively limited historical experience upon which to base such estimates.difficult. We utilize actuarial models as well as available historical insurance industry loss ratio experience and loss development patterns to assist in the establishment of Loss Reserves. Actual losses and loss adjustment expenses paid will deviate, perhaps substantially, from the reserve estimates reflected in our financial statements. See “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Summary of Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Estimates—Loss Reserves” and see Item 1“Business—1 “Business—Reserves” for further details.

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Shareholders’ Equity and Book Value per Share
Total shareholders’ equity available to Arch was $11.50$12.9 billion at December 31, 2019,2022, compared to $9.44$13.5 billion at December 31, 2018.2021. The increase in 2019 was2022 period primarily attributable to underwriting, strong investment returnsreflected the impact of rising interest rates on our fixed income portfolio and a lower level of catastrophic activity.the elevated catastrophe activity we experienced during the year.
The following table presents the calculation of book value per share:
(U.S. dollars in thousands, except share data)December 31,
20222021
Total shareholders’ equity available to Arch$12,910,073 $13,545,896 
Less preferred shareholders’ equity830,000 830,000 
Common shareholders’ equity available to Arch$12,080,073 $12,715,896 
Common shares and common share equivalents outstanding, net of treasury shares (1)370,345,997378,923,894
Book value per share$32.62 $33.56 
(1)    Excludes the effects of 14,420,901 and 17,083,160 stock options and 557,003 and 729,636 restricted stock and performance units outstanding at December 31, 2022 and 2021, respectively.
(U.S. dollars in thousands, except share data)December 31,
2019 2018
Total shareholders’ equity available to Arch$11,497,371
 $9,439,827
Less preferred shareholders’ equity780,000
 780,000
Common shareholders’ equity available to Arch$10,717,371
 $8,659,827
Common shares and common share equivalents outstanding, net of treasury shares (1)405,619,201 402,454,834
Book value per share$26.42
 $21.52
LIQUIDITY
(1)Excludes the effects of 18,853,018 and 20,076,593 stock options and 1,586,779 and 1,307,304 restricted stock and performance units outstanding at December 31, 2019 and 2018, respectively.

LIQUIDITY
This section does not include information specific to Watford. We do not guarantee or provide credit support for Watford, and our financial exposure to Watford is limited to our investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford.
Liquidity is a measure of our ability to access sufficient cash flows to meet the short-term and long-term cash requirements of our business operations.
Arch Capital is a holding company whose assets primarily consist of the shares in its subsidiaries. Generally, Arch Capital depends on its available cash resources, liquid investments and dividends or other distributions from its subsidiaries to make payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or liquidation amounts with respect to our preferred and common shares.
In 2019,2022, Arch Capital received dividends of $116.9 million$0.7 billion from Arch Reinsurance Ltd. (“Arch Re Bermuda,Bermuda”), our Bermuda-based reinsurer and insurer which can pay approximately $3.1$3.7 billion to Arch Capital in 20202023 without providing an affidavit to the Bermuda Monetary Authority (“BMA”). Arch-U.S. received $465.0 million of dividends from Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S.


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Our insurance and reinsurance operations provide liquidity in that premiums are received in advance, sometimes substantially in advance, of the time losses are paid. The period of time from the occurrence of a claim through the settlement of the liability may extend many years into the future. Sources of liquidity include cash flows from operations, financing arrangements or routine sales of investments.

As part of our investment strategy, we seek to establish a level of cash and highly liquid short-term and intermediate-term securities which, combined with expected cash flow, is believed by us to be adequate to meet our foreseeable payment obligations. However, due to the nature of our operations, cash flows are affected by claim payments that may comprise large payments on a limited number of claims and which can fluctuate from year to year. We believe that our liquid investments and cash flow will provide us with sufficient liquidity in order to meet our claim payment obligations. However, the timing and amounts of actual claim payments related to recorded Loss Reserves vary based on many factors, including large individual losses, changes in the legal environment, as well as general market conditions. The ultimate amount of the claim payments could differ materially from our estimated amounts. Certain lines of business written by us, such as excess casualty, have loss experience characterized as low frequency and high severity. The foregoing may result in significant variability in loss payment patterns. The impact of this variability can be exacerbated by the fact that the timing of the receipt of reinsurance recoverables owed to us may be slower than anticipated by us. Therefore, the irregular timing of claim payments can create significant variations in cash flows from operations between periods and may require us to utilize other sources of liquidity to make these payments, which may include the sale of investments or utilization of existing or new credit facilities or capital market transactions. If the source of liquidity is the sale of investments, we may be forced to sell such investments at a loss, which may be material.
We expect that our liquidity needs, including our anticipated insurance obligations and operating and capital expenditure needs, for the next twelve months, at a minimum, will be met by funds generated from underwriting activities and investment income, as well as by our balance of cash, short-term investments, proceeds on the sale or maturity of our investments, and our credit facilities.facilities, for the next twelve months, at a minimum.
Dividend Restrictions 
Arch Capital has no material restrictions on its ability to make distributions to shareholders. However, the ability of our regulated insurance and reinsurance subsidiaries to pay dividends or make distributions or other payments to us is limited by the applicable local laws and relevant regulations of the various countries and states in which we operate. See note 24,25, “Statutory Information,” to our consolidated financial statements in Item 8 for additional information on dividend restrictions.
The payment of dividends from Arch Re Bermuda is, under certain circumstances, limited under Bermuda law, which requires our Bermuda operating subsidiary to maintain certain measures of solvency and liquidity.

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Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of our regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities. Each state requires prior regulatory approval of any payment of extraordinary dividends.
We also have insurance subsidiaries that are the parent company for other insurance subsidiaries, which means that dividends and other distributions will be subject to multiple layers of regulations in order for our insurance subsidiaries to be able to dividend funds to Arch Capital. The inability of the subsidiaries of Arch Capital to pay dividends and other permitted distributions could have a material adverse effect on Arch Capital’s cash requirements and our ability to make principal, interest and dividend payments on the senior notes, preferred shares and common shares.
In addition to meeting applicable regulatory standards, the ability of our insurance and reinsurance subsidiaries to pay dividends is also constrained by our dependence on the financial strength ratings of our insurance and reinsurance subsidiaries from independent rating agencies. The ratings from these agencies depend to a large extent on the capitalization levels of our insurance and reinsurance subsidiaries. We believe that Arch Capital has sufficient cash resources and available dividend capacity to service its indebtedness and other current outstanding obligations.
Restricted Assets 
Our insurance, reinsurance and mortgage insurance subsidiaries are required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support their operations. The assets on deposit are available to settle insurance and reinsurance liabilities to third


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parties. Our insurance and reinsurance subsidiaries maintain assets in trust accounts as collateral for insurance and reinsurance transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties. At December 31, 20192022 and 2018,2021, such amounts approximated $6.80$8.7 billion and $6.76$8.2 billion, respectively, excluding amounts related to the ‘other’ segment.respectively.
Our investments in certain securities, including certain fixed income and structured securities, investments in funds accounted for using the equity method, other alternative investments and investments in ventures such as Watford and othersoperating affiliates may be illiquid due to contractual provisions or investment market conditions. If we require significant amounts of cash on short notice in excess of anticipated cash requirements, then we
may have difficulty selling these investments in a timely manner or may be forced to sell or terminate them at unfavorable values. Our unfunded investment commitments totaled approximately $1.69$2.9 billion at December 31, 20192022 and are callable by our investment managers. The timing of the funding of investment commitments is uncertain and may require us to access cash on short notice.
Cash Flows 
The following table summarizes our cash flows from operating, investing and financing activities, excluding amounts related to the ‘other’ segment:
Year Ended December 31,
20222021
Total cash provided by (used for):
Operating activities$3,815,227 $3,380,700 
Investing activities(3,102,055)(1,870,885)
Financing activities(705,726)(1,243,613)
Effects of exchange rate changes on foreign currency cash(48,889)(30,524)
Increase (decrease) in cash$(41,443)$235,678 
 Year Ended December 31,
 2019 2018
Total cash provided by (used for):   
Operating activities$1,810,060
 $1,331,278
Investing activities(1,689,640) (268,734)
Financing activities3,663
 (987,679)
Effects of exchange rate changes on foreign currency cash16,063
 (16,383)
Increase (decrease) in cash$140,146
 $58,482
Cash provided by operating activities for 2019 was higher than in 2018, primarily reflecting an increase in premiums collected, a lower level of net losses paid and lower purchases of tax and loss bonds. The 2018the 2022 period reflected a higher level of paid losses and purchases of tax and loss bonds.premiums collected than in the 2021 period.
Cash used for investing activities for 2019 was higher than in 2018, reflectingthe 2022 period reflected a higher level of purchases of fixed income securities purchased.than in the 2021 period, while the 2021 period reflected cash used for our investment in Coface and Somers.
Cash provided byused for financing activities for 2019 was higher than the cash used in 2018. The 20182022 period primarily reflected $375.0 million of paydowns on our revolving credit agreement borrowings, $282.8$585.8 million of repurchases under our share
repurchase program, and $92.6 million relatedcompared to redemption of our Series C preferred shares.$1.2 in the 2021 period.
Investments 
At December 31, 2019,2022, our investable assets were $22.29 billion, excluding the $2.70 billion of investable assets related to the ‘other’ segment.$28.1 billion. The primary goals of our asset liability management process are to satisfy themeet our insurance liabilities, manage the interest rate risk embedded in those insurance liabilities and maintain sufficient liquidity to cover fluctuations in projected liability cash flows, including debt service obligations. Generally, the expected principal and interest payments produced by our fixed income portfolio adequately fund the estimated runoff of our insurance reserves. Although this is not an exact cash flow match in each period, the substantial degree by which the fair value of the fixed income portfolio exceeds the expected present value of the net insurance liabilities, as well as the positive cash flow from newly sold policies and the large amount of high quality liquid bonds, provide assurance of our ability to fund the payment of claims and to service our outstanding debt without having to

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sell securities at distressed prices or access credit facilities. Please refer to Item 1A “Risk Factors”Risk Factors for a discussion of other risks relating to our business and investment portfolio.
CAPITAL RESOURCES
This section does not include information specific to Watford. We do not guarantee or provide credit support for Watford, and our financial exposure to Watford is limited to our investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford.


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The following table provides an analysis of our capital structure:
(U.S. dollars in thousands, except 
share data)
December 31,
2019 2018
Debt:   
Senior notes, due May 2034$300,000
 $300,000
Arch-U.S. senior notes, due Nov 2043 (1)500,000
 500,000
Arch Finance senior notes, due Dec 2026 (1)500,000
 500,000
Arch Finance senior notes, due Dec 2046 (1)450,000
 450,000
Deferred debt issuance costs on senior notes(15,791) (16,472)
Revolving credit agreement borrowings due Oct 2021 (2)
 
Total$1,734,209
 $1,733,528
    
Shareholders’ equity available to Arch:   
Series E non-cumulative preferred shares450,000
 450,000
Series F non-cumulative preferred shares330,000
 330,000
Common shareholders’ equity10,717,371
 8,659,827
Total$11,497,371
 $9,439,827
    
Total capital available to Arch$13,231,580
 $11,173,355
    
Senior notes to total capital (%)13.1
 15.5
Revolving credit agreement borrowings to total capital (%)
 
Debt to total capital (%)13.1
 15.5
Preferred to total capital (%)5.9
 7.0
Debt and preferred to total capital (%)19.0
 22.5
(1)Fully and unconditionally guaranteed by Arch Capital.
(2)$500 million unsecured facility for revolving loans and letters of credit.

Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Capital Finance LLC (“Arch Finance”) is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.
(U.S. dollars in thousands, except 
share data)
December 31,
20222021
Senior notes$2,725,410 $2,724,394 
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares330,000 330,000 
Series G non-cumulative preferred shares500,000 500,000 
Common shareholders’ equity12,080,073 12,715,896 
Total$12,910,073 $13,545,896 
Total capital available to Arch$15,635,483 $16,270,290 
Senior notes to total capital (%)17.4 16.7 
Revolving credit agreement borrowings to total capital (%)— — 
Debt to total capital (%)17.4 16.7 
Preferred to total capital (%)5.3 5.1 
Debt and preferred to total capital (%)22.7 21.8 
See note 18,19, “Debt and Financing Arrangements,”Arrangements" and note 21, “Shareholders' Equity”, to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see capital structure.note 20, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.
During 2019 and 2018, we made interest payments of $98.7 million and $100.1 million respectively, related to our senior notes and other financing arrangements.
In November 2017, Arch Capital, Arch-U.S. and Arch Finance filed a universal shelf registration statement with the SEC. This registration statement allows for the possible future offer and sale by us of various types of securities, including unsecured debt securities, preference shares, common shares, warrants,
share purchase contracts and units and depositary shares. The shelf registration statement enables us to efficiently access the public debt and/or equity capital markets in order to meet our future capital needs. The shelf registration statement also allows selling shareholders to resell common shares that they own in one or more offerings from time to time. We will not receive any proceeds from any shares offered by the selling shareholders.
Capital Adequacy
We monitor our capital adequacy on a regular basis and will seek to adjust our capital base (up or down) according to the needs of our business. The future capital requirements of our business will depend on many factors, including our ability to write new business successfully and to establish premium rates and reserves at levels sufficient to cover losses. Our ability to underwrite is largely dependent upon the quality of our claims paying and financial strength ratings as evaluated by independent rating agencies. In particular, we require (1) sufficient capital to maintain our financial strength ratings, as issued by several ratings agencies, at a level considered necessary by management to enable our key operating subsidiaries to compete; (2) sufficient capital to enable our underwriting subsidiaries to meet the capital adequacy tests performed by statutory agencies in the U.S. and other key markets; and (3) our non-U.S. operating companies are required to post letters of credit and other forms of collateral that are necessary for them to operate as they are “non-admitted” under U.S. state insurance regulations.
In addition, ArchAMIC and UGRIC (together, “Arch MI U.S. is”) are required to maintain compliance with the GSEsGSE requirements, known as PMIERs. The financial requirements require an eligible mortgage insurer’s available assets, which generally include only the most liquid assets of an insurer, to meet or exceed “minimum required assets” as of each quarter end. Minimum required assets are calculated from PMIERs tables with several risk dimensions (including origination year, original loan-to-value and original credit score of performing loans, and the delinquency status of non-performing loans) and are subject to a minimum amount. Arch MI U.S. satisfied the PMIERs’ financial requirements as of December 31, 20192022 with a PMIER sufficiency ratio of 161%236%, compared to 141%197% at December 31, 2018.2021.
As part of our capital management program, we may seek to raise additional capital or may seek to return capital to our shareholders through share repurchases, cash dividends or other methods (or a combination of such methods). Any such determination will be at the discretion of our board of directorsthe Board and will be dependent upon our profits, financial requirements and other factors, including legal restrictions, rating agency requirements and such other factors as our board of directorsBoard deems relevant.


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To the extent that our existing capital is insufficient to fund our future operating requirements or maintain such ratings, we may need to raise additional funds through financings or limit our growth. We can provide no assurance that, if needed, we would be able to obtain additional funds through financing on satisfactory terms or at all. Any adverse developments in the financial markets, such as disruptions, uncertainty or volatility in the capital and credit markets, may result in realized and unrealized capital losses that could have

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a material adverse effect on our results of operations, financial position and our businesses, and may also limit our access to capital required to operate our business. In addition to common share capital, we depend on external sources of finance to support our underwriting activities, which can be in the form (or any combination) of debt securities, preference shares, common equity and bank credit facilities providing loans and/or letters of credit.
Arch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the ratings of such subsidiaries. Historically, our U.S.-based insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business. The reinsurance agreements between our U.S.-based property casualty insurance and reinsurance subsidiaries and Arch Re Bermuda were canceled on a cutoff basis as of January 1, 2018. As a result, the level of subject business ceded to Arch Re Bermuda was substantially lower beginning in 2018 than in prior periods. In 2019, certain reinsurance agreements between our insurance and reinsurance subsidiaries were reinstated.
Except as described in the above paragraph, or where express reinsurance, guarantee or other financial support contractual arrangements are in place, each of Arch Capital’s subsidiaries or affiliates is solely responsible for its own liabilities and commitments (and no other Arch Capital subsidiary or affiliate is so responsible). Any reinsurance arrangements, guarantees or other financial support contractual arrangements that are in place are solely for the benefit of the Arch Capital subsidiary or affiliate involved and third parties (creditors or insureds of such entity) are not express beneficiaries of such arrangements.
Share Repurchase Program 
The board of directors of Arch CapitalOur Board has authorized the investment in Arch Capital’s common shares through a share repurchase program. Since the inception of the share repurchase program through December 31, 2019,2022, Arch Capital has repurchased approximately 386.3433.6 million common shares for an aggregate purchase price of $3.97$5.9 billion. At December 31, 2019,2022, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2021.2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions, andthe development of the economy, corporate and regulatory considerations. We will continue to monitor our share price and, depending upon results of operations, market conditions and the development of the economy, as well as other factors, we will consider share repurchases on an opportunistic basis.


GUARANTOR INFORMATION
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The below table provides a description of our senior notes payable at December 31, 2022:
InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350 %$300,000 $297,618 
June 30, 20503.635 %1,000,000988,949
Arch-U.S.:
Nov. 1, 2043 (1)5.144 %500,000495,188
Arch Finance:
Dec. 15, 2026 (1)4.011 %500,000498,073
Dec. 15, 2046 (1)5.031 %450,000445,582
Total$2,750,000 $2,725,410 
(1) Fully and unconditionally guaranteed by Arch Capital.
Our senior notes were issued by Arch Capital, Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) and Arch Capital Finance LLC (“Arch Finance”). Arch-U.S. is a wholly-owned subsidiary of Arch Capital and Arch Finance is a wholly-owned finance subsidiary of Arch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of Arch Capital and ranked equally with all of its existing and future unsecured and unsubordinated indebtedness. The 2043 senior notes issued by Arch-U.S. are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital. The 2026 senior notes and 2046 senior notes issued by Arch Finance are unsecured and unsubordinated obligations of Arch Finance and Arch Capital and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital.
Arch Capital and Arch-U.S. are each holding companies and, accordingly, they conduct substantially all of their operations through their operating subsidiaries. Arch Finance is a wholly owned subsidiary of Arch U.S. MI Holdings Inc., a U.S. holding company. As a result, Arch Capital, Arch-U.S. and Arch Finance's cash flows and their ability to service their debt depends upon the earnings of their operating subsidiaries and on their ability to distribute the earnings, loans or other payments from such subsidiaries to Arch Capital, Arch-U.S. and Arch Finance, respectively.
During 2022 and 2021, we made interest payments of $128.4 million and $131.0 million respectively, related to our senior notes and other financing arrangements. See note 19, “Debt and Financing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and revolving credit agreement borrowings. For additional information on our preferred shares, see note 21, “Shareholders’ Equity,” to our consolidated financial statements in Item 8.

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The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):
December 31, 2022December 31, 2021
Arch CapitalArch-U.S.Arch CapitalArch-U.S.
Assets
Total investments$7,282 $78,766 $2,038 $137,124 
Cash11,393 9,542 16,317 18,392 
Investment in operating affiliates5,259 6,877 
Due from subsidiaries and affiliates1,554 11 26,000 
Other assets17,203 30,311 9,604 37,040 
Total assets$42,691 $118,621 $34,847 $218,556 
Liabilities
Senior notes1,286,567 495,188 1,286,208 495,063 
Due to subsidiaries and affiliates— 991,070 — 521,839 
Other liabilities37,239 36,405 24,767 47,410 
Total liabilities1,323,806 1,522,663 1,310,975 1,064,312 
Non-cumulative preferred shares$830,000 $— $830,000 $— 






December 31, 2022December 31, 2021
 Year EndedArch CapitalArch-U.S.Arch CapitalArch-U.S.
Revenues
Net investment income$2,058 $1,341 $1,524 $11,596 
Net realized gains (losses)29 (346)— 72,437 
Equity in net income (loss) of investments accounted for using the equity method— 10,228 — 18,149 
Total revenues2,087 11,223 1,524 102,182 
Expenses
Corporate expenses85,997 12,502 71,818 5,875 
Interest expense58,759 48,199 58,741 47,292 
Net foreign exchange (gains) losses(1)— — 
Total expenses144,755 60,701 130,566 53,167 
Income (loss) before income taxes(142,668)(49,478)(129,042)49,015 
Income tax (expense) benefit— 10,097 — (12,513)
Income (loss) from operating affiliates(1,047)— (590)— 
Net income available to Arch(143,715)(39,381)(129,632)36,502 
Preferred dividends(40,736)— (48,343)— 
Loss on redemption of preferred shares— — (15,101)— 
Net income available to Arch common shareholders$(184,451)$(39,381)$(193,076)$36,502 

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CONTRACTUAL OBLIGATIONS AND COMMITMENTS
This section does not include information specific to Watford. We do not guarantee or provide credit support for Watford, and our financial exposure to Watford is limited to our investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford.
Contractual Obligations
The following table provides an analysis of our contractual commitments at December 31, 2019:
2022:
Payment due by periodPayment due by period
Total 2020 2021 and 2022 2023 and 2024 ThereafterTotal20232024 and 20252026 and 2027Thereafter
Operating activities         Operating activities
Estimated gross payments for losses and loss adjustment expenses (1)$12,628,213
 $3,612,298
 $3,818,635
 $1,901,186
 $3,296,094
Estimated gross payments for losses and loss adjustment expenses (1)$20,031,943 $5,687,045 $6,410,819 $3,030,790 $4,903,289 
Deposit accounting liabilities (2)10,431
 3,814
 668
 822
 5,127
Deposit accounting liabilities (2)10,376 5,449 1,519 365 3,043 
Contractholder payables (3)2,119,460
 671,838
 729,706
 297,634
 420,282
Contractholder payables (3)1,733,984 549,050 602,897 239,833 342,204 
Operating lease obligations170,453
 31,907
 58,439
 39,940
 40,167
Operating lease obligations175,284 31,922 54,862 39,918 48,582 
Purchase obligations55,606
 29,861
 20,082
 4,753
 910
Purchase obligations150,053 83,078 64,952 2,023 — 
Investing activities
        Investing activities
Unfunded investment commitments (4)1,686,649
 1,686,649
 
 
 
Unfunded investment commitments (4)2,922,663 2,922,663 — — — 
Financing activities         Financing activities
Securities lending payable (5)388,366
 388,366
 
 
 
Senior notes (including interest payments)3,435,288
 90,465
 180,929
 180,929
 2,982,965
Senior notes (including interest payments)5,166,889 126,815 253,629 733,574 4,052,871 
Financing lease obligations6,883
 4,822
 2,061
 
 
Total contractual obligations and commitments$20,501,349
 $6,520,020
 $4,810,520
 $2,425,264
 $6,745,545
Total contractual obligations and commitments$30,191,192 $9,406,022 $7,388,678 $4,046,503 $9,349,989 
(1)
(1)The estimated expected contractual commitments related to the reserves for losses and loss adjustment expenses are presented on a gross basis (i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.
(2)The estimated expected contractual commitments related to deposit accounting liabilities have been estimated using projected cash flows from the underlying contracts. It should be noted that, due to the nature of such liabilities, the timing and amount contain significant uncertainty.
(3)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.
(4)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.i.e., not reflecting any corresponding reinsurance recoverable amounts that would be due to us). It should be noted that until a claim has been presented to us, determined to be valid, quantified and settled, there is no known obligation on an individual transaction basis, and while estimable in the aggregate, the timing and amount contain significant uncertainty.
(2)The estimated expected contractual commitments related to deposit accounting liabilities have been estimated using projected cash flows from the underlying contracts. It should be noted that, due to the nature of such liabilities, the timing and amount contain significant uncertainty.
(3)Certain insurance policies written by our insurance operations feature large deductibles, primarily in construction and national accounts lines. Under such contracts, we are obligated to pay the claimant for the full amount of the claim and are subsequently reimbursed by the policyholder for the deductible amount. In the event we are unable to collect from the policyholder, we would be liable for such defaulted amounts.
(4)Unfunded investment commitments are callable by our investment managers. We have assumed that such investments will be funded in the next year but the funding may occur over a longer period of time, due to market conditions and other factors.
(5)As part of our securities lending program, we loan securities to third parties and receive collateral in the form of cash or securities. Such collateral is due back to the third parties at the close of the securities lending transactions, a majority of which is overnight and continuous by nature.

Letter of Credit and Revolving Credit Facilities
In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities.
On December 17, 2019April 7, 2022, Arch Capital and certain of its subsidiaries enteredamended its existing credit agreement into an $750.0a $925.0 million five-year credit facility (the “Credit Facility”) with a syndication of lenders. The Credit Facility, as amended, consists of a $250.0$425.0 million secured facility for letters of credit (the “Secured Facility”) and a $500.0 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). Obligations of each borrower under the Secured Facility for letters of credit are secured by cash and eligible securities of such borrower held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.25 billion.
Arch Capital has a one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital guarantees the obligations of Arch-U.S. Borrowings of revolving loans may be made at a variable rate based on LIBOR or an alternative base rate at the option of Arch Capital.Secured Overnight Financing Rate (“SOFR”). Secured letters of credit are available for issuance on behalf of certain Arch Capital insurance and reinsurance subsidiaries. The CreditAt December 31, 2022,
the Secured Facility is structured such that each party that requests a letterhad $323.1 million of letters of credit outstanding and remaining capacity of $101.9 million, and the Unsecured Facility had no outstanding revolving loans or borrowing does so only for itself and for only its own obligations.letters of credit, with remaining capacity of $500.0 million.
The Credit Facility contains certain restrictive covenants customary for facilities of this type, including restrictions on indebtedness, consolidated tangible net worth, minimum


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shareholders’ equity levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2019.2022.
Under the $250.0 million secured letter of credit facility, Arch Capital’s subsidiaries had $225.4 million of letters of credit outstandingSee note 19, “Debt and remaining capacity of $24.6 million at December 31, 2019. In addition, certain of Arch Capital’s subsidiaries had outstanding securedFinancing Arrangements,” to our consolidated financial statements in Item 8 for additional disclosures concerning our senior notes and unsecured letters of credit of $18.1 million and $195.0 million respectively, which were issued in the normal course of business. There were no outstanding revolving credit agreement borrowings at December 31, 2019 and 2018.borrowings.


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RATINGS
Our ability to underwrite business is affected by the quality of our claims paying ability and financial strength ratings as evaluated by independent agencies. Such ratings from third party internationally recognized statistical rating organizations or agencies are instrumental in establishing the financial security of companies in our industry. We believe that the primary users of such ratings include commercial and investment banks, policyholders, brokers, ceding companies and investors. Insurance ratings are also used by insurance and reinsurance intermediaries as an important means of assessing the financial strength and quality of insurers and reinsurers, and are often an important factor in the decision by an insured or intermediary of whether to place business with a particular insurance or reinsurance provider. Periodically, rating agencies evaluate us to confirm that we continue to meet their criteria for the ratings assigned to us by them. S&P, Moody’s, A.M. Best Company and Fitch Ratings are ratings agencies which have assigned financial strength ratings to one or more of Arch Capital’s subsidiaries.
If we are not able to obtain adequate capital, our business, results of operations and financial condition could be adversely affected, which could include, among other things, the following possible outcomes: (1) potential downgrades in the financial strength ratings assigned by ratings agencies to our operating subsidiaries, which could place those operating subsidiaries at a competitive disadvantage compared to higher-rated competitors; (2) reductions in the amount of business that our operating subsidiaries are able to write in order to meet capital adequacy-based tests enforced by statutory agencies; and (3) any resultant ratings downgrades could, among other things, affect our ability to write business and increase the cost of bank credit and letters of credit. In addition, under certain of the reinsurance agreements assumed by our reinsurance operations, upon the occurrence of a ratings downgrade or other specified triggering event with respect to our reinsurance operations, such as a reduction in surplus by specified amounts during specified periods, our ceding company clients may be
provided with certain rights, including, among other things, the right to terminate the subject reinsurance agreement and/or to require that our reinsurance operations post additional collateral.
The ratings issued on our companies by these agencies are announced publicly and are available directly from the agencies. Our Internet site (website www.ir.archcapgroup.comwww.archgroup.com, under Credit (Investor Relations-Credit Ratings) contains information about our ratings, but such information on our website is not incorporated by reference into this report.
CATASTROPHIC EVENTS AND SEVERE ECONOMIC EVENTS
We have large aggregate exposures to natural and man-made catastrophic events, pandemic events like COVID-19 and severe economic events. CatastrophesNatural catastrophes can be caused by various events, including hurricanes, floods, windstorms, earthquakes, hailstorms, tornadoes, explosions, severe winter weather, fires, droughts and other natural disasters. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the nature of property business, we believe that economic and geographic trends affecting insured property, including inflation, property value appreciation and geographic concentration, tend to generally increase the size of losses from catastrophic events over time.
We have substantial exposure to unexpected, large losses resulting from future man-made catastrophic events, such as acts of war, acts of terrorism and political instability. These risks are inherently unpredictable. It is difficult to predict the timing of such events with statistical certainty or estimate the amount of loss any given occurrence will generate. It is not possible to completely eliminate our exposure to unforecasted or unpredictable events and, to the extent that losses from such risks occur, our financial condition and results of operations could be materially adversely affected. Therefore, claims for natural and man-made catastrophic events could expose us to large losses and cause substantial volatility in our results of operations, which could cause the value of our common shares to fluctuate widely. In certain instances, we specifically insure and reinsure risks resulting from terrorism. Even in cases where we attempt to exclude losses from terrorism and certain other similar risks from some coverages written by us, we may not be successful in doing so. Moreover, irrespective of the clarity and inclusiveness of policy language, there can be no assurance that a court or arbitration panel will limit enforceability of policy language or otherwise issue a ruling adverse to us.
We seek to limit our loss exposure by writing a number of our reinsurance contracts on an excess of loss basis, adhering to maximum limitations on reinsurance written in defined geographical zones, limiting program size for each client and prudent underwriting of each program written. In the case of


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proportional treaties, we may seek per occurrence limitations or loss ratio caps to limit the impact of losses from any one or series of events. In our insurance operations, we seek to limit our exposure through the purchase of reinsurance. We cannot be certain that any of these loss limitation methods will be effective. We also seek to limit our loss exposure by geographic diversification. Geographic zone limitations involve significant underwriting judgments, including the determination of the area of the zones and the inclusion of a particular policy within a particular zone's limits. There can

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be no assurance that various provisions of our policies, such as limitations or exclusions from coverage or choice of forum, will be enforceable in the manner we intend. Disputes relating to coverage and choice of legal forum may also arise. Underwriting is inherently a matter of judgment, involving important assumptions about matters that are inherently unpredictable and beyond our control, and for which historical experience and probability analysis may not provide sufficient guidance. One or more catastrophic or other events could result in claims that substantially exceed our expectations, which could have a material adverse effect on our financial condition or our results of operations, possibly to the extent of eliminating our shareholders' equity.
For our natural catastrophe exposed business, we seek to limit the amount of exposure we will assume from any one insured or reinsured and the amount of the exposure to catastrophe losses from a single event in any geographic zone. We monitor our exposure to catastrophic events, including earthquake and wind and periodically reevaluate the estimated probable maximum pre-tax loss for such exposures. Our estimated probable maximum pre-tax loss is determined through the use of modeling techniques, but such estimate does not represent our total potential loss for such exposures.
Our models employ both proprietary and vendor-based systems and include cross-line correlations for property, marine, offshore energy, aviation, workers compensation and personal accident. We seek to limit the probable maximum pre-tax loss to a specific level for severe catastrophic events. Currently, we seek to limit our 1-in-250 year return period net probable maximum loss from a severe catastrophic event in any geographic zone to approximately 25% of totaltangible shareholders’ equity available to Arch.Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). We reserve the right to change this threshold at any time.
Based on in-force exposure estimated as of January 1, 2020,2023, our modeled peak zone catastrophe exposure is a windstorm affecting the Florida Tri-County, with a net probable maximum pre-tax loss of $612$970 million, followed by windstorms affecting Northeasternthe Northeast U.S., and the Gulf of Mexico with net probable maximum pre-tax losses of $544$908 million and $521$903 million, respectively. Our exposures to other perils, such as U.S. earthquake and international events, were less than the exposures arising from U.S. windstorms and hurricanes in both periods. As of January 1, 2020,2023, our modeled peak zone earthquake exposure (San Francisco area earthquake)
represented approximately 70%60% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (Japan earthquake)(U.K. windstorm) was substantially less than both our peak zone windstorm and earthquake exposures.
We also have significant exposure to losses due to mortgage defaults resulting from severe economic events in the future. For our U.S. mortgage insurance business, we have developed a proprietary risk model (“Realistic Disaster
Scenario” or “RDS”) that simulates the maximum loss resulting from a severe economic downturn impacting the housing market. The RDS models the collective impact of adverse conditions for key economic indicators, the most significant of which is a decline in home prices. The RDS model projects paths of future home prices, unemployment rates, income levels and interest rates and assumes correlation across states and geographic regions. The resulting future performance of our in-force portfolio is then estimated under the economic stress scenario, reflecting loan and borrower information.
Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of total tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets).Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of January 1, 2020,2023, our modeled RDS loss was 8%12.3% of tangible shareholders’ equity available to Arch.
Net probable maximum loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. RDS loss estimates are net of expected reinsurance recoveries and afterbefore income tax. Catastrophe loss estimates are reflective of the zone indicated and not the entire portfolio. Since hurricanes and windstorms can affect more than one zone and make multiple landfalls, our catastrophe loss estimates include clash estimates from other zones. Our catastrophe loss estimates and RDS loss estimates do not represent our maximum exposures and it is highly likely that our actual incurred losses would vary materially from the modeled estimates. There can be no assurances that we will not suffer pre-tax losses greater than 25% of our total shareholders' equity or tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors, including the inherent uncertainties in estimating the frequency and severity of such events and the margin of error in making such determinations resulting from potential inaccuracies and inadequacies in the data provided by clients and brokers, the modeling techniques and the application of such techniques or as a result of a decision to change the percentage of shareholders' equity exposed to a single catastrophic event or severe economic event. In addition, actual losses may increase if our reinsurers fail to meet their obligations to us or the reinsurance protections purchased by us are exhausted or are otherwise unavailable. See “RiskRisk Factors—RiskRisks Relating to Our Industry.”Industry, Business and Operations” Depending on business


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opportunities and the mix of business that may comprise our insurance, reinsurance and mortgage portfolios, we may seek to adjust our self-imposed limitations on probable maximum pre-tax loss for catastrophe exposed business and mortgage default exposed business. See “—“—Summary of Critical Accounting Policies, Estimates and Recent Accounting Pronouncements—Estimates—Ceded Reinsurance” for a discussion of our catastrophe reinsurance programs.
OFF-BALANCE SHEET ARRANGEMENTS
We have entered into various aggregate excess of loss reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda. These are special purpose variable interest entities that are not consolidated in our financial results because we do not have the unilateral power to direct those activities that are significant to its economic performance. As of December 31, 2019, our estimated off-balance sheet maximum exposure to loss from such entities was $42.1 million. See note 11, “Variable Interest Entity and Noncontrolling Interests,” to our consolidated financial statements in Item 8 for additional information.
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MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT
Our investment results are subject to a variety of risks, including risks related to changes in the business, financial condition or results of operations of the entities in which we invest, as well as changes in general economic conditions and overall market conditions. We are also exposed to potential loss from various market risks, including changes in equity prices, interest rates and foreign currency exchange rates.
In accordance with the SEC’s Financial Reporting Release No. 48, we performed a sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments as of December 31, 2019.2022. Market risk represents the risk of changes in the fair value of a financial instrument and consists of several components, including liquidity, basis and price risks.
The sensitivity analysis performed as of December 31, 20192022 presents hypothetical losses in cash flows, earnings and fair values of market sensitive instruments which were held by us on December 31, 20192022 and are sensitive to changes in interest rates and equity security prices. This risk management discussion and the estimated amounts generated from the following sensitivity analysis represent forward-looking statements of market risk assuming certain adverse market conditions occur. Actual results in the future may differ materially from these projected results due to actual developments in the global financial markets. The analysis
methods used by us to assess and mitigate risk should not be considered projections of future events of losses.
We have not included Watford in the following analyses as we do not guarantee or provide credit support for Watford, and our financial exposure to Watford is limited to our investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions.
The focus of the SEC’s market risk rules is on price risk. For purposes of specific risk analysis, we employ sensitivity analysis to determine the effects that market risk exposures could have on the future earnings, fair values or cash flows of our financial instruments. The financial instruments included in the following sensitivity analysis consist of all of our investments and cash.
Investment Market Risk
Fixed Income Securities. We invest in interest rate sensitive securities, primarily debt securities. We consider the effect of interest rate movements on the marketfair value of our fixed maturities, fixed maturities pledged under securities lending agreements, short-term investments and certain of our other investments, equity securities and investment funds accounted for using the equity method which invest in fixed income securities (collectively, “Fixed Income Securities”) and the corresponding change in unrealized appreciation. As interest rates rise, the marketfair value of our interest rate sensitive securitiesFixed Income Securities falls, and the converse is also true. Based on historical observations, there is a low probability that all
interest rate yield curves would shift in the same direction at the same time. Furthermore, at times interest rate movements in certain credit sectors exhibit a much lower correlation to changes in U.S. Treasury yields. Accordingly, the actual effect of interest rate movements may differ materially from the amounts set forth in the following tables.
The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our investment portfolio at December 31, 20192022 and 2018:2021:
(U.S. dollars in billions)Interest Rate Shift in Basis Points(U.S. dollars in billions)Interest Rate Shift in Basis Points
-100 -50 - +50 +100-100-50-+50+100
Dec. 31, 2019         
Dec. 31, 2022Dec. 31, 2022
Total fair value$21.54
 $21.19
 $20.83
 $20.48
 $20.13
Total fair value$27.19 $26.79 $26.42 $26.05 $25.71 
Change from base3.4% 1.7%   (1.7)% (3.4)%Change from base2.9 %1.4 %(1.4)%(2.7)%
Change in unrealized value$0.71
 $0.35
   $(0.35) $(0.71)Change in unrealized value$0.77 $0.37 $(0.37)$(0.71)
Dec. 31, 2018         
Dec. 31, 2021Dec. 31, 2021
Total fair value$19.23
 $18.91
 $18.62
 $18.30
 $17.98
Total fair value$25.79 $25.44 $25.21 $24.75 $24.43 
Change from base3.3% 1.6%   (1.7)% (3.4)%Change from base2.3 %0.9 %(1.8)%(3.1)%
Change in unrealized value$0.61
 $0.30
   $(0.32) $(0.63)Change in unrealized value$0.58 $0.23 $(0.45)$(0.78)
In addition, we consider the effect of credit spread movements on the market value of our fixed maturities, fixed maturities


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pledged under securities lending agreements, short-term investments and certain of our other investments and investments accounted for using the equity method which invest in fixed income securitiesFixed Income Securities and the corresponding change in unrealized appreciation.value. As credit spreads widen, the fair value of our fixed income securitiesFixed Income Securities falls, and the converse is also true. In periods where the spreads on our Fixed Income Securities are much higher than their historical average due to short-term market dislocations, a parallel shift in credit spread levels would result in a much more pronounced change in unrealized value.
The following table summarizes the effect that an immediate, parallel shift in credit spreads in a static interest rate environment would have had on the portfolio at December 31, 20192022 and 2018:2021:
(U.S. dollars in billions)Credit Spread Shift in Percentage(U.S. dollars in billions)Credit Spread Shift in Percentage
-100 -50 - +50 +100-100-50-+50+100
Dec. 31, 2019         
Dec. 31, 2022Dec. 31, 2022
Total fair value$21.19
 $21.02
 $20.83
 $20.65
 $20.48
Total fair value$27.50 $26.95 $26.42 $25.89 $25.34 
Change from base1.7% 0.9%   (0.9)% (1.7)%Change from base4.1 %2.0 %(2.0)%(4.1)%
Change in unrealized value$0.35
 $0.19
   $(0.19) $(0.35)Change in unrealized value$1.08 $0.53 $(0.53)$(1.08)
Dec. 31, 2018         
Dec. 31, 2021Dec. 31, 2021
Total fair value$19.08
 $18.84
 $18.62
 $18.39
 $18.15
Total fair value$26.17 $25.69 $25.21 $24.72 $24.24 
Change from base2.5% 1.2%   (1.2)% (2.5)%Change from base3.8 %1.9 %(1.9)%(3.8)%
Change in unrealized value$0.47
 $0.22
   $(0.22) $(0.47)Change in unrealized value$0.97 $0.48 $(0.48)$(0.97)
Another method that attempts to measure portfolio risk is Value-at-Risk (“VaR”). VaR attempts to take into account a broad cross-section of risks facing a portfolio by utilizing relevant securities volatility data skewed towards the most recent months and quarters. VaR measures the amount of a portfolio at risk for outcomes 1.65 standard deviations from the mean based onworst expected loss under normal market conditions over a one yearspecific time horizon and is expressed asinterval at a percentagegiven confidence level. The 1-year 95th

ARCH CAPITAL912022 FORM 10-K

Table of the portfolio’s initial value. In other words,Contents
percentile parametric VaR reported herein estimates that 95% of the time, should the risks taken into account in the VaR model perform per their historical tendencies, the portfolio’sportfolio loss in any one year period is expected toa one-year horizon would be less than or equal to the calculated VaR,number, stated as a percentage of the measured portfolio’s initial value. The VaR is a variance-covariance based estimate, based on linear sensitivities of a portfolio to a broad set of systematic market risk factors and idiosyncratic risk factors mapped to the portfolio exposures. The relationships between the risk factors are estimated using historical data, and the most recent data points are generally given more weight. As of December 31, 2019,2022, our portfolio’s 95th percentile VaR was estimated to be 2.80%8.8%, compared to an estimated 3.02%4.8% at December 31, 2018.2021. In periods where the volatility of the risk factors mapped to our portfolio’s exposures is higher due to market conditions, the resulting VaR is higher than in other periods.
Equity Securities, Privately Held Securities and Other Investments.Securities. Our investment portfolio includes an allocation to equity securities, privately held securities and certain other investments. At December 31, 20192022 and 2018,2021, the fair value of our investments in equity securities privately held securities and certain other investments accounted for using the equity method with underlying equity strategies totaled $827.8 million$0.8 billion and $368.8 million,$1.4 billion, respectively. These securitiesinvestments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% depreciationdecline in the value of each position would reduce the fair value of such investments by approximately $82.8$79.1 million and $36.9$137.5 million at December 31, 20192022 and 2018,2021, respectively, and would have
decreased book value per share by approximately $0.20$0.21 and $0.09,$0.36, respectively.An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $79.1 million and $137.5 million at December 31, 2022 and 2021, respectively, and would have increased book value per share by approximately $0.21 and $0.36, respectively.

Investment-Related Derivatives. At December 31, 2019,2022, the notional value of all derivative instruments (excluding to-be-announced mortgage backed securities which are included in the fixed income securities analysis above and foreign currency forward contracts which are included in the foreign currency exchange risk analysis below) was $8.04$6.6 billion, compared to $4.95$6.4 billion at December 31, 2018.2021. If the underlying exposure of each investment-related derivative held at December 31, 20192022 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $80.4$66.3 million, and a decrease in book value per share of $0.20,$0.18, compared to $49.5$63.8 million and $0.12,$0.17, respectively, on investment-related derivatives held at December 31, 2018.2021. If the underlying exposure of each investment-related derivative held at December 31, 20192022 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $80.4$66.3 million, and an increase in book value per share of $0.20,$0.18, compared to $49.5$63.8 million and $0.12,$0.17, respectively, on investment-related derivatives held at December 31, 2018.2021. See note 10,11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional disclosures concerning derivatives.
For further discussion on investment activity, please refer to “—Financial Condition, Liquidity and Capital Resources—Financial Condition—Investable Assets.”


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Table of Contents
Foreign Currency Exchange Risk
Foreign currency rate risk is the potential change in value, income and cash flow arising from adverse changes in foreign currency exchange rates. Through our subsidiaries and branches located in various foreign countries, we conduct our insurance and reinsurance operations in a variety of local currencies other than the U.S. Dollar. We generally hold investments in foreign currencies which are intended to mitigate our exposure to foreign currency fluctuations in our net insurance liabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. See note 10,11, “Derivative Instruments,” to our consolidated financial statements in Item 8 for additional information.


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Table of Contents

The following table provides a summary of our net foreign currency exchange exposures, as well as foreign currency derivatives in place to manage these exposures:
(U.S. dollars in thousands, except 
per share data)
December 31,
2022
December 31,
2021
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(396,305)$(825,371)
Shareholders’ equity denominated in foreign currencies (1)1,056,213 1,095,706 
Net foreign currency forward contracts outstanding (2)311,519 15,151 
Net exposures denominated in foreign currencies$971,427 $285,486 
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$(97,143)$(28,549)
Book value per share$(0.26)$(0.08)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$97,143 $28,549 
Book value per share$0.26 $0.08 
(1)    Represents capital contributions held in the foreign currencies of our operating units.
(2)    Represents the net notional value of outstanding foreign currency forward contracts.
(U.S. dollars in thousands, except 
per share data)
December 31,
2019
 December 31,
2018
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$265,501
 $(561,311)
Shareholders’ equity denominated in foreign currencies (1)744,690
 478,678
Net foreign currency forward contracts outstanding (2)81,731
 241,442
Net exposures denominated in foreign currencies$1,091,922
 $158,809
    
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies: 
  
Shareholders’ equity$(109,192) $(15,881)
Book value per share$(0.27) $(0.04)
    
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies: 
  
Shareholders’ equity$109,192
 $15,881
Book value per share$0.27
 $0.04
(1)Represents capital contributions held in the foreign currencies of our operating units.
(2)Represents the net notional value of outstanding foreign currency forward contracts.
Although the Company generally attempts to match the currency of its projected liabilities with investments in the same currencies, from time to time the Company may elect to over or underweight one or more currencies, which could increase the Company’s exposure to foreign currency fluctuations and increase the volatility of the Company’s shareholders’ equity. Historical observations indicate a low probability that all foreign currency exchange rates would shift against the U.S. Dollar in the same direction and at the same time and, accordingly, the actual effect of foreign currency rate movements may differ materially from the amounts set forth above. For further discussion on foreign exchange activity, please refer to “—Results of Operations.”
Effects of Inflation
We do not believe thatGeneral economic inflation has had a material effect on our consolidated resultsincreased in recent quarters and may continue to remain at elevated levels for an extended period of operations, except insofar as inflation may affect our reserves for losses and loss adjustment expenses and interest rates.time. The potential also exists, after a catastrophe loss or pandemic events like COVID-19, for the development of inflationary pressures in a local economy. This may have a material effect on the adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the market value of our investment portfolio through rising interest rates. The anticipated effects of inflation on us are considered in our pricing models, reserving processes and exposure management, across all lines of business and types of loss including natural catastrophe loss models.events. The actual effects of inflation on our results cannot be accurately known until claims are ultimately settled.
settled and will vary by the specific type of inflation affecting each line of business.

ITEM 7A.
ITEM 7A. QUANTITATIVE AND QUALITATIVE DISCLOSURES ABOUT MARKET RISK
Reference is made to the information appearing above under the subheading “Market Sensitive Instruments and Risk Management” under the caption “Management’s Discussion and Analysis of Financial Condition and Results of Operation,” which information is hereby incorporated by reference.


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ITEM 8.     FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
Index to Financial StatementsPage No.
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Table of Contents


ITEM 8.
FINANCIAL STATEMENTS AND SUPPLEMENTARY DATA
Index to Financial StatementsPage No.
At December 31, 20192022 and December 31, 20182021
For the years ended December 31, 2019, 20182022, 2021 and 20172020
For the years ended December 31, 2019, 20182022, 2021 and 20172020
For the years ended December 31, 2019, 20182022, 2021 and 20172020
For the years ended December 31, 2019, 20182022, 2021 and 20172020
Notes to Consolidated Financial Statements



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ARCH CAPITAL942022 FORM 10-K



Report of Independent Registered Public Accounting Firm

To the Board of Directors and Shareholders of Arch Capital Group Ltd.

Opinions on the Financial Statements and Internal Control over Financial Reporting

We have audited the accompanying consolidated balance sheets of Arch Capital Group Ltd. and its subsidiaries (the “Company”) as of December 31, 20192022 and 2018,2021, and the related consolidated statements of income, of comprehensive income, of changes in shareholders’ equity and of cash flows for each of the three years in the period ended December 31, 2019,2022, including the related notes and financial statement schedules listed in the index appearing under Item 15(a)(2) (collectively referred to as the “consolidated financial statements”).We also have audited the Company's internal control over financial reporting as of December 31, 2019,2022, based on criteria established in Internal Control - Integrated Framework (2013)issued by the Committee of Sponsoring Organizations of the Treadway Commission (COSO).

In our opinion, the consolidatedfinancial statements referred to above present fairly, in all material respects, the financial position of the Company as of December 31, 20192022 and 20182021, and the results of itsoperations and itscash flows for each of the three years in the period ended December 31, 2019,2022, in conformity with accounting principles generally accepted in the United States of America. Also in our opinion, the Company maintained, in all material respects, effective internal control over financial reporting as of December 31, 2019,2022, based on criteria established in Internal Control -Control- Integrated Framework (2013)issued by the COSO.

Basis for Opinions

The Company's management is responsible for these consolidated financial statements, for maintaining effective internal control over financial reporting, and for its assessment of the effectiveness of internal control over financial reporting, included in Management's Annual Report on Internal Control Over Financial Reporting appearing under Item 9A. Our responsibility is to express opinions on the Company’s consolidated financial statements and on the Company's internal control over financial reporting based on our audits. We are a public accounting firm registered with the Public Company Accounting Oversight Board (United States)(PCAOB) and are required to be independent with respect to the Company in accordance with the U.S. federal securities laws and the applicable rules and regulations of the Securities and Exchange Commission and the PCAOB.

We conducted our audits in accordance with the standards of the PCAOB. Those standards require that we plan and perform the audits to obtain reasonable assurance about whether the consolidated financial statements are free of material misstatement, whether due to error or fraud, and whether effective internal control over financial reporting was maintained in all material respects.

Our audits of the consolidated financial statements included performing procedures to assess the risks of material misstatement of the consolidated financial statements, whether due to error or fraud, and performing procedures that respond to those risks. Such procedures included examining, on a test basis, evidence regarding the amounts and disclosures in the consolidated financial statements. Our audits also included evaluating the accounting principles used and significant estimates made by management, as well as evaluating the overall presentation of the consolidated financial statements. Our audit of internal control over financial reporting included obtaining an understanding of internal control over financial reporting, assessing the risk that a material weakness exists, and testing and evaluating the design and operating effectiveness of internal control based on the assessed risk. Our audits also included performing such other procedures as we considered necessary in the circumstances. We believe that our audits provide a reasonable basis for our opinions.

Definition and Limitations of Internal Control over Financial Reporting

A company’s internal control over financial reporting is a process designed to provide reasonable assurance regarding the reliability of financial reporting and the preparation of financial statements for external purposes in accordance with generally accepted accounting principles. A company’s internal control over financial reporting includes those policies and procedures that (i) pertain to the maintenance of records that, in reasonable detail, accurately and fairly reflect the transactions and dispositions of the assets of the company; (ii) provide reasonable assurance that transactions are recorded as necessary to permit preparation of financial statements in accordance with generally accepted accounting principles, and that receipts and expenditures of the company are being made only in accordance with authorizations of management and directors of the company; and (iii) provide reasonable assurance regarding prevention or timely detection of unauthorized acquisition, use, or disposition of the company’s assets that could have a material effect on the financial statements.



ARCH CAPITAL879520192022 FORM 10-K



Because of its inherent limitations, internal control over financial reporting may not prevent or detect misstatements. Also, projections of any evaluation of effectiveness to future periods are subject to the risk that controls may become inadequate because of changes in conditions, or that the degree of compliance with the policies or procedures may deteriorate.

Critical Audit Matters

The critical audit matter communicated below is a matter arising from the current period audit of the consolidated financial statements that was communicated or required to be communicated to the audit committee and that (i) relates to accounts or disclosures that are material to the consolidated financial statements and (ii) involved our especially challenging, subjective, or complex judgments. The communication of critical audit matters does not alter in any way our opinion on the consolidated financial statements, taken as a whole, and we are not, by communicating the critical audit matter below, providing a separate opinion on the critical audit matter or on the accounts or disclosures to which it relates.

Valuation of Reserve for Losses and Loss Adjustment Expenses

As described in Notes 3, 5 and 6 to the consolidated financial statements, the reserve for losses and loss adjustment expenses represents estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. As of December 31, 2019,2022, the Company’s total reserve for losses and loss adjustment expenses was $13.9$20.0 billion. For the insurance and reinsurance segments, management estimates ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Ultimate losses and loss adjustment expenses are generally determined by extrapolation of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future. Management makes a number of key assumptions in their reserving process, including estimating loss development patterns and expected loss ratios. For the mortgage segment, the lead actuarial methodology used by management is a frequency-severity method based on the inventory of pending delinquencies. The assumptions of frequency and severity reflect judgments based on historical data and experience.

The principal considerations for our determination that performing procedures relating to the valuation of the reserve for losses and loss adjustment expenses is a critical audit matter are (i) there wasthe significant judgment by management when developing their estimate, which in turn led to a high degree of auditor subjectivity and judgment in performing procedures relatingrelated to the valuation of the reserve for losses and loss adjustment expenses, (ii) there wasthe significant auditor effort and judgment in evaluating audit evidence relatingrelated to the aforementioned key actuarial methods and key assumptions, and (iii) the audit effort included the involvement of professionals with specialized skill and knowledge to assist in performing these procedures and evaluating the audit evidence obtained.

Addressing the matter involved performing procedures and evaluating audit evidence in connection with forming our overall opinion on the consolidated financial statements. These procedures included testing the effectiveness of controls relating to the valuation of the reserve for losses and loss adjustment expenses, including controls over the selection of key actuarial methods and development of key assumptions. These procedures also included, among others, the involvement of professionals with specialized skill and knowledge to assist in performing one or a combination of procedures, including (i) developing an independent estimate, on a test basis, of the reserve for losses and loss adjustment expenses, and comparing the independent estimate to management’s actuarially determined reserve for losses and loss adjustment expenses to evaluate the reasonableness of the reserve for losses and loss adjustment expenses and (ii) evaluating the appropriateness of the actuarial methods and reasonableness of the assumptions, includingrelated to loss development patterns, expected loss ratios, frequency, and severity used by management to determine the Company’s reserve for losses and loss adjustment expenses. Developing the independent estimate and evaluating the appropriateness of the key methods and reasonableness of the key assumptions related to loss development patterns, expected loss ratios, frequency and severity, as applicable, involved testing the completeness and accuracy of historical data provided by management.


/s/ PricewaterhouseCoopers LLP


New York, New York

February 28, 2020

24, 2023
We have served as the Company’s or its predecessor’s auditor since 1995.




ARCH CAPITAL889620192022 FORM 10-K



ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
December 31,
20222021
Assets
Investments:
Fixed maturities available for sale, at fair value (amortized cost: $21,281,863 and $17,973,823; net of allowance for credit losses: $41,355 and $2,883)$19,682,789 $17,998,109 
Short-term investments available for sale, at fair value (amortized cost: $1,332,996 and $1,734,738; net of allowance for credit losses: $0 and $0 )1,331,662 1,734,716 
Equity securities, at fair value859,969 1,804,170 
Other investments (portion measured at fair value: $1,644,197 and $1,973,550)1,644,197 1,973,550 
Investments accounted for using the equity method3,774,310 3,077,611 
Total investments27,292,927 26,588,156 
Cash855,118 858,668 
Accrued investment income158,680 85,453 
Investment in operating affiliates964,604 1,135,655 
Premiums receivable (net of allowance for credit losses: $35,402 and $39,958)3,624,777 2,633,280 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $21,544 and $13,230)6,563,654 5,880,735 
Contractholder receivables (net of allowance for credit losses: $2,691 and $3,437)1,731,293 1,828,691 
Ceded unearned premiums1,799,197 1,729,455 
Deferred acquisition costs1,263,870 901,841 
Receivable for securities sold12,493 60,179 
Goodwill and intangible assets804,289 944,983 
Other assets2,919,605 2,453,849 
Total assets$47,990,507 $45,100,945 
Liabilities
Reserve for losses and loss adjustment expenses$20,031,943 $17,757,156 
Unearned premiums7,337,002 6,011,942 
Reinsurance balances payable1,529,919 1,583,253 
Contractholder payables1,733,984 1,832,127 
Collateral held for insured obligations249,238 242,352 
Senior notes2,725,410 2,724,394 
Payable for securities purchased95,041 64,850 
Other liabilities1,367,068 1,329,742 
Total liabilities35,069,605 31,545,816 
Commitments and Contingencies
Redeemable noncontrolling interests10,829 9,233 
Shareholders’ Equity
Non-cumulative preferred shares830,000 830,000 
Common shares ($0.0011 par, shares issued: 588,250,762 and 583,289,850)654 648 
Additional paid-in capital2,211,444 2,085,075 
Retained earnings15,892,065 14,455,868 
Accumulated other comprehensive income (loss), net of deferred income tax(1,646,170)(64,600)
Common shares held in treasury, at cost (shares: 217,904,765 and 204,365,956)(4,377,920)(3,761,095)
Total shareholders' equity available to Arch12,910,073 13,545,896 
Non-redeemable noncontrolling interests— — 
Total shareholders' equity12,910,073 13,545,896 
Total liabilities, noncontrolling interests and shareholders' equity$47,990,507 $45,100,945 
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
 December 31,
 2019 2018
Assets   
Investments:   
Fixed maturities available for sale, at fair value (amortized cost: $16,598,808 and $14,829,902)$16,894,526
 $14,699,010
Short-term investments available for sale, at fair value (amortized cost: $957,283 and $956,238)956,546
 955,880
Collateral received under securities lending, at fair value (amortized cost: $388,366 and $274,125)388,376
 274,133
Equity securities, at fair value838,925
 338,899
Investments accounted for using the fair value option3,663,477
 3,983,571
Investments accounted for using the equity method1,660,396
 1,493,791
Total investments24,402,246
 21,745,284
    
Cash726,230
 646,556
Accrued investment income117,937
 114,641
Securities pledged under securities lending, at fair value (amortized cost: $378,738 and $266,786)379,868
 268,395
Premiums receivable1,778,717
 1,299,150
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses4,346,816
 2,919,372
Contractholder receivables2,119,460
 2,079,111
Ceded unearned premiums1,234,683
 975,469
Deferred acquisition costs633,400
 569,574
Receivable for securities sold24,133
 36,246
Goodwill and intangible assets738,083
 634,920
Other assets1,383,788
 929,611
Total assets$37,885,361
 $32,218,329
    
Liabilities   
Reserve for losses and loss adjustment expenses$13,891,842
 $11,853,297
Unearned premiums4,339,549
 3,753,636
Reinsurance balances payable667,072
 393,107
Contractholder payables2,119,460
 2,079,111
Collateral held for insured obligations206,698
 236,630
Senior notes1,871,626
 1,733,528
Revolving credit agreement borrowings484,287
 455,682
Securities lending payable388,366
 274,125
Payable for securities purchased87,579
 90,034
Other liabilities1,513,330
 911,500
Total liabilities25,569,809
 21,780,650
    
Commitments and Contingencies

 

Redeemable noncontrolling interests55,404
 206,292
    
Shareholders’ Equity   
Non-cumulative preferred shares780,000
 780,000
Common shares ($0.0011 par, shares issued: 574,617,195 and 570,737,283)638
 634
Additional paid-in capital1,889,683
 1,793,781
Retained earnings11,021,006
 9,426,299
Accumulated other comprehensive income (loss), net of deferred income tax212,091
 (178,720)
Common shares held in treasury, at cost (shares: 168,997,994 and 168,282,449)(2,406,047) (2,382,167)
Total shareholders' equity available to Arch11,497,371
 9,439,827
Non-redeemable noncontrolling interests762,777
 791,560
Total shareholders' equity12,260,148
 10,231,387
Total liabilities, noncontrolling interests and shareholders' equity$37,885,361
 $32,218,329



See Notes to Consolidated Financial Statements

ARCH CAPITAL899720192022 FORM 10-K



ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
Year Ended December 31,
202220212020
Revenues
Net premiums earned$9,678,077 $8,082,298 $6,991,935 
Net investment income496,547 389,118 519,608 
Net realized gains (losses)(662,734)379,845 823,460 
Other underwriting income13,227 22,073 26,784 
Equity in net income of investments accounted for using the equity method115,856 366,402 146,693 
Other income (loss)(26,165)10,244 29 
Total revenues9,614,808 9,249,980 8,508,509 
Expenses
Losses and loss adjustment expenses5,027,517 4,584,803 4,689,599 
Acquisition expenses1,739,580 1,303,178 1,004,842 
Other operating expenses1,128,175 998,595 875,176 
Corporate expenses95,482 79,157 81,988 
Amortization of intangible assets106,200 82,955 69,031 
Interest expense130,266 139,470 143,456 
Net foreign exchange losses (gains)(100,905)(41,529)83,634 
Total expenses8,126,315 7,146,629 6,947,726 
Income before income taxes and income (loss) from operating affiliates1,488,493 2,103,351 1,560,783 
Income taxes:
Current tax expense (benefit)201,216 295,533 197,662 
Deferred tax expense (benefit)(121,255)(166,951)(85,824)
Income tax expense79,961 128,582 111,838 
Income (loss) from operating affiliates73,891 264,693 16,766 
Net income$1,482,423 $2,239,462 $1,465,711 
Net (income) loss attributable to noncontrolling interests(5,490)(82,613)(60,190)
Net income available to Arch1,476,933 2,156,849 1,405,521 
Preferred dividends(40,736)(48,343)(41,612)
Loss on redemption of preferred shares— (15,101)— 
Net income available to Arch common shareholders$1,436,197 $2,093,405 $1,363,909 
Net income per common share and common share equivalent
Basic$3.90 $5.34 $3.38 
Diluted$3.80 $5.23 $3.32 
Weighted average common shares and common share equivalents outstanding
Basic368,612,197391,748,715403,062,179
Diluted377,609,767400,345,936410,259,455

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
 Year Ended December 31,
 2019 2018 2017
Revenues     
Net premiums written$6,039,067
 $5,346,747
 $4,961,373
Change in unearned premiums(252,569) (114,772) (116,841)
Net premiums earned5,786,498
 5,231,975
 4,844,532
Net investment income627,738
 563,633
 470,872
Net realized gains (losses)366,363
 (405,344) 149,141
Other-than-temporary impairment losses(3,165) (2,829) (7,138)
Other underwriting income24,861
 15,073
 30,253
Equity in net income of investments accounted for using the equity method123,672
 45,641
 142,286
Other income (loss)2,233
 2,419
 (2,571)
Total revenues6,928,200
 5,450,568
 5,627,375
      
Expenses

    
Losses and loss adjustment expenses3,133,452
 2,890,106
 2,967,446
Acquisition expenses840,945
 805,135
 775,458
Other operating expenses800,997
 677,809
 684,451
Corporate expenses80,111
 78,994
 83,752
Amortization of intangible assets82,104
 105,670
 125,778
Interest expense120,872
 120,484
 117,431
Net foreign exchange losses (gains)20,609
 (69,402) 115,782
Total expenses5,079,090
 4,608,796
 4,870,098
      
Income before income taxes1,849,110
 841,772
 757,277
      
Income taxes:     
Current tax expense (benefit)144,361
 85,863
 (45,736)
Deferred tax expense (benefit)11,449
 28,088
 173,304
Income tax expense155,810
 113,951
 127,568
      
Net income$1,693,300
 $727,821
 $629,709
Net (income) loss attributable to noncontrolling interests(56,981) 30,150
 (10,431)
Net income available to Arch1,636,319
 757,971
 619,278
Preferred dividends(41,612) (41,645) (46,041)
Loss on redemption of preferred shares
 (2,710) (6,735)
Net income available to Arch common shareholders$1,594,707
 $713,616
 $566,502
      
Net income per common share and common share equivalent     
Basic$3.97
 $1.76
 $1.40
Diluted$3.87
 $1.73
 $1.36
      
Weighted average common shares and common share equivalents outstanding     
Basic401,802,815
 404,347,621
 404,138,364
Diluted411,609,478
 412,906,478
 417,785,025

See Notes to Consolidated Financial Statements

ARCH CAPITAL909820192022 FORM 10-K



ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
Year Ended December 31,
202220212020
Comprehensive Income
Net income$1,482,423 $2,239,462 $1,465,711 
Other comprehensive income (loss), net of deferred income tax
Unrealized appreciation (decline) in value of available-for-sale investments:
Unrealized holding gains (losses) arising during year(1,772,649)(386,929)678,717 
Reclassification of net realized (gains) losses, included in net income247,799 (116,068)(426,187)
Foreign currency translation adjustments(56,720)(64,482)33,336 
Comprehensive income (loss)(99,147)1,671,983 1,751,577 
Net (income) loss attributable to noncontrolling interests(5,490)(82,613)(60,190)
Other comprehensive (income) loss attributable to noncontrolling interests— 13,984 (9,062)
Comprehensive income available to Arch (loss)$(104,637)$1,603,354 $1,682,325 

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
 Year Ended December 31,
 2019 2018 2017
Comprehensive Income     
Net income$1,693,300
 $727,821
 $629,709
Other comprehensive income (loss), net of deferred income tax     
Unrealized appreciation (decline) in value of available-for-sale investments:     
Unrealized holding gains (losses) arising during year500,771
 (270,057) 252,904
Reclassification of net realized gains, included in net income(118,941) 144,573
 (67,863)
Foreign currency translation adjustments18,110
 (24,830) 47,014
Comprehensive income2,093,240
 577,507
 861,764
Net (income) loss attributable to noncontrolling interests(56,981) 30,150
 (10,431)
Other comprehensive (income) loss attributable to noncontrolling interests(9,130) 3,346
 530
Comprehensive income available to Arch$2,027,129
 $611,003
 $851,863





See Notes to Consolidated Financial Statements

ARCH CAPITAL919920192022 FORM 10-K



ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY
(U.S. dollars in thousands)
Year Ended December 31,
202220212020
Non-cumulative preferred shares
Balance at beginning of year$830,000 $780,000 $780,000 
Preferred shares issued— 500,000 — 
Preferred shares redeemed— (450,000)— 
Balance at end of year830,000 830,000 780,000 
Common shares
Balance at beginning of year648 643 638 
Common shares issued, net
Balance at end of year654 648 643 
Additional paid-in capital
Balance at beginning of year2,085,075 1,977,794 1,889,683 
Issue costs on preferred shares issued— (14,179)— 
Reversal of issue costs on preferred shares redeemed— 15,101 — 
Amortization of share-based compensation87,620 86,053 70,535 
Other changes38,749 20,306 17,576 
Balance at end of year2,211,444 2,085,075 1,977,794 
Retained earnings
Balance at beginning of year14,455,868 12,362,463 11,021,006 
Cumulative effect of an accounting change— — (22,452)
Balance at beginning of year, as adjusted14,455,868 12,362,463 10,998,554 
Net income1,482,423 2,239,462 1,465,711 
Net (income) loss attributable to noncontrolling interests(5,490)(82,613)(60,190)
Preferred share dividends(40,736)(48,343)(41,612)
Loss on redemption of preferred shares— (15,101)— 
Balance at end of year15,892,065 14,455,868 12,362,463 
Accumulated other comprehensive income (loss)
Balance at beginning of year(64,600)488,895 212,091 
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:
Balance at beginning of year13,486 501,295 258,486 
Unrealized holding gains (losses) during period, net of reclassification adjustment(1,524,850)(502,997)252,530 
Unrealized holding gains (losses) during period attributable to noncontrolling interests— 15,188 (9,721)
Balance at end of year(1,511,364)13,486 501,295 
Foreign currency translation adjustments, net of deferred income tax:
Balance at beginning of year(78,086)(12,400)(46,395)
Foreign currency translation adjustments(56,720)(64,482)33,336 
Foreign currency translation adjustments attributable to noncontrolling interests— (1,204)659 
Balance at end of year(134,806)(78,086)(12,400)
Balance at end of year(1,646,170)(64,600)488,895 
Common shares held in treasury, at cost
Balance at beginning of year(3,761,095)(2,503,909)(2,406,047)
Shares repurchased for treasury(616,825)(1,257,186)(97,862)
Balance at end of year(4,377,920)(3,761,095)(2,503,909)
Total shareholders’ equity available to Arch12,910,073 13,545,896 13,105,886 
Non-redeemable noncontrolling interests— — 823,007 
Total shareholders’ equity$12,910,073 $13,545,896 $13,928,893 

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS' EQUITY
(U.S. dollars in thousands)
 Year Ended December 31,
 2019 2018 2017
Non-cumulative preferred shares     
Balance at beginning of year$780,000
 $872,555
 $772,555
Preferred shares issued
 
 330,000
Preferred shares redeemed
 (92,555) (230,000)
Balance at end of year780,000
 780,000
 872,555
      
Convertible non-voting common equivalent preferred shares     
Balance at beginning of year
 489,627
 1,101,304
Preferred shares converted to common shares
 (489,627) (611,677)
Balance at end of year
 
 489,627
      
Common shares     
Balance at beginning of year634
 611
 582
Common shares issued, net4
 23
 29
Balance at end of year638
 634
 611
      
Additional paid-in capital     
Balance at beginning of year1,793,781
 1,230,617
 531,687
Preferred shares converted to common shares
 489,608
 611,653
Other changes95,902
 73,556
 87,277
Balance at end of year1,889,683
 1,793,781
 1,230,617
      
Retained earnings     
Balance at beginning of year9,426,299
 8,562,889
 7,996,701
Cumulative effect of an accounting change
 149,794
 (314)
Balance at beginning of year, as adjusted9,426,299
 8,712,683
 7,996,387
Net income1,693,300
 727,821
 629,709
Net (income) loss attributable to noncontrolling interests(56,981) 30,150
 (10,431)
Preferred share dividends(41,612) (41,645) (46,041)
Loss on redemption of preferred shares
 (2,710) (6,735)
Balance at end of year11,021,006
 9,426,299
 8,562,889
      
Accumulated other comprehensive income (loss)     
Balance at beginning of year(178,720) 118,044
 (114,541)
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:     
Balance at beginning of year(114,178) 157,400
 (27,641)
Cumulative effect of an accounting change
 (149,794) 
Balance at beginning of year, as adjusted(114,178) 7,606
 (27,641)
Unrealized holding gains (losses) during period, net of reclassification adjustment381,830
 (125,484) 185,041
Unrealized holding gains (losses) during period attributable to noncontrolling interests(9,166) 3,700
 
Balance at end of year258,486
 (114,178) 157,400
Foreign currency translation adjustments, net of deferred income tax:     
Balance at beginning of year(64,542) (39,356) (86,900)
Foreign currency translation adjustments18,110
 (24,830) 47,014
Foreign currency translation adjustments attributable to noncontrolling interests37
 (356) 530
Balance at end of year(46,395) (64,542) (39,356)
Balance at end of year212,091
 (178,720) 118,044
      
Common shares held in treasury, at cost     
Balance at beginning of year(2,382,167) (2,077,741) (2,034,570)
Shares repurchased for treasury(23,880) (304,426) (43,171)
Balance at end of year(2,406,047) (2,382,167) (2,077,741)
      
Total shareholders’ equity available to Arch11,497,371
 9,439,827
 9,196,602
Non-redeemable noncontrolling interests762,777
 791,560
 843,411
Total shareholders’ equity$12,260,148
 $10,231,387
 $10,040,013



See Notes to Consolidated Financial Statements

ARCH CAPITAL9210020192022 FORM 10-K



ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
Year Ended December 31,
202220212020
Operating Activities
Net income$1,482,423 $2,239,462 $1,465,711 
Adjustments to reconcile net income to net cash provided by operating activities:
Net realized (gains) losses651,568 (427,367)(844,625)
Equity in net (income) or loss of investments accounted for using the
equity method and other income or loss
153,157 (464,050)(47,951)
Amortization of intangible assets106,200 82,955 69,031 
Share-based compensation87,628 87,094 71,262 
Changes in:
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable1,889,015 1,762,190 2,113,827 
Unearned premiums, net of ceded unearned premiums1,399,112 936,039 445,781 
Premiums receivable(1,109,229)(685,214)(318,643)
Deferred acquisition costs(374,067)(263,243)(143,948)
Reinsurance balances payable(35,509)500,065 65,950 
Other items, net(435,071)(340,376)10,110 
Net cash provided by operating activities3,815,227 3,427,555 2,886,505 
Investing Activities
Purchases of fixed maturity investments(16,390,475)(35,451,858)(39,765,277)
Purchases of equity securities(796,998)(1,175,480)(1,595,010)
Purchases of other investments(1,720,457)(1,859,096)(1,808,727)
Proceeds from sales of fixed maturity investments11,844,004 33,577,445 37,949,346 
Proceeds from sales of equity securities1,554,116 918,145 1,147,264 
Proceeds from sales, redemptions and maturities of other investments1,221,072 1,765,533 1,029,578 
Proceeds from redemptions and maturities of fixed maturity investments714,519 1,628,755 871,134 
Net settlements of derivative instruments(68,818)(40,072)179,006 
Net (purchases) sales of short-term investments467,249 165,272 (1,029,681)
Change in cash collateral related to securities lending— — 81,210 
Purchase of operating affiliate— (753,916)— 
Impact of the deconsolidation of the variable interest entity— (349,202)— 
Purchases of fixed assets(51,672)(41,394)(39,872)
Other125,405 (523,864)(62,197)
Net cash used for investing activities(3,102,055)(2,139,732)(3,043,226)
Financing Activities
Proceeds from issuance of preferred shares, net— 485,821 — 
Redemption of preferred shares— (450,000)— 
Purchases of common shares under share repurchase program(585,823)(1,234,294)(83,472)
Proceeds from common shares issued, net6,660 6,418 1,876 
Proceeds from borrowings— — 1,018,793 
Repayments of borrowings— — (359,000)
Change in cash collateral related to securities lending— — (81,210)
Third party investment in non-redeemable noncontrolling interests— 15,971 (2,867)
Dividends paid to redeemable noncontrolling interests— (1,907)(4,945)
Other(85,827)(3,278)73,715 
Preferred dividends paid(40,736)(48,280)(41,612)
Net cash provided by (used for) financing activities(705,726)(1,229,549)521,278 
Effects of exchange rate changes on foreign currency cash and restricted cash(48,889)(34,047)22,289 
Increase (decrease) in cash and restricted cash(41,443)24,227 386,846 
Cash and restricted cash, beginning of year1,314,771 1,290,544 903,698 
Cash and restricted cash, end of year$1,273,328 $1,314,771 $1,290,544 
Income taxes paid (received)$254,922 $286,810 $202,940 
Interest paid$128,425 $139,301 $133,491 
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
 Year Ended December 31,
 2019 2018 2017
Operating Activities     
Net income$1,693,300
 $727,821
 $629,709
Adjustments to reconcile net income to net cash provided by operating activities:     
Net realized (gains) losses(381,132) 387,550
 (174,517)
Net impairment losses recognized in earnings3,165
 2,829
 7,138
Equity in net income or loss of investments accounted for using the
equity method and other income or loss
(14,013) 36,694
 (79,540)
Amortization of intangible assets82,104
 105,670
 125,778
Share-based compensation66,417
 55,776
 67,798
Changes in:     
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable489,981
 243,734
 614,534
Unearned premiums, net of ceded unearned premiums252,569
 114,772
 116,841
Premiums receivable(237,752) (211,296) (31,405)
Deferred acquisition costs(47,260) (37,847) (78,378)
Reinsurance balances payable182,132
 73,438
 8,529
Other items, net(41,052) 60,181
 (111,609)
Net cash provided by operating activities2,048,459
 1,559,322
 1,094,878
      
Investing Activities     
Purchases of fixed maturity investments(30,053,777) (33,327,660) (36,806,913)
Purchases of equity securities(811,967) (1,001,149) (1,021,016)
Purchases of other investments(1,470,545) (2,014,622) (2,020,624)
Proceeds from sales of fixed maturity investments28,595,865
 31,513,271
 35,686,779
Proceeds from sales of equity securities429,818
 1,118,445
 1,056,401
Proceeds from sales, redemptions and maturities of other investments1,209,559
 1,561,958
 1,528,617
Proceeds from redemptions and maturities of fixed maturity investments643,265
 892,755
 907,417
Net settlements of derivative instruments59,982
 44,699
 (28,563)
Net (purchases) sales of short-term investments39,833
 485,473
 (734,554)
Change in cash collateral related to securities lending(62,193) 180,883
 12,540
Purchases of fixed assets(37,837) (29,809) (22,841)
Other(348,486) 21,736
 90,875
Net cash provided by (used for) investing activities(1,806,483) (554,020) (1,351,882)
      
Financing Activities     
Proceeds from issuance of preferred shares, net
 
 319,694
Redemption of preferred shares
 (92,555) (230,000)
Purchases of common shares under share repurchase program(2,871) (282,762) 
Proceeds from common shares issued, net6,203
 (7,608) (21,048)
Proceeds from borrowings200,083
 218,259
 253,415
Repayments of borrowings(49,182) (576,401) (197,000)
Change in cash collateral related to securities lending62,193
 (180,883) (12,540)
Change in third party investment in non-redeemable noncontrolling interests(75,056) 
 
Change in third party investment in redeemable noncontrolling interests(161,882) 
 
Dividends paid to redeemable noncontrolling interests(12,515) (17,989) (17,989)
Other(6,023) (7,226) (51,896)
Preferred dividends paid(41,612) (41,645) (46,041)
Net cash provided by (used for) financing activities(80,662) (988,810) (3,405)
      
Effects of exchange rate changes on foreign currency cash and restricted cash17,741
 (19,133) 18,124
      
Increase (decrease) in cash and restricted cash179,055
 (2,641) (242,285)
Cash and restricted cash, beginning of year724,643
 727,284
 969,569
Cash and restricted cash, end of year$903,698
 $724,643
 $727,284
      
Income taxes paid (received)$109,463
 $(980) $51,781
Interest paid$126,945
 $119,775
 $117,374

See Notes to Consolidated Financial Statements

ARCH CAPITAL9310120192022 FORM 10-K


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



1.    General
Arch Capital Group Ltd. (“Arch Capital” or “Arch”) is a publicly listed Bermuda public limited liabilityexempted company which provides insurance, reinsurance and mortgage insurance on a worldwide basis through its wholly owned subsidiaries.
As used herein, the “Company” means Arch Capital and its subsidiaries. Similarly, “Common Shares” means the common shares of Arch Capital.
The Company’s consolidated financial statements includeincluded the results of Somers Group Holdings Ltd. (formerly Watford Holdings Ltd.,) and its wholly owned subsidiaries (“Watford”Somers”). Effective July 1, 2021, Somers is wholly owned by Greysbridge Holdings Ltd., (“Greysbridge”) and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso & Company (“Kelso”) and 30% by certain investment funds managed by Warburg Pincus LLC (“Warburg”). Based on the governing documents of Greysbridge, the Company concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements and footnotes. See note 11,12, “Variable Interest Entity and Noncontrolling Interests”.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, shareholders’equity or cash flows. Tabular amounts are in U.S. Dollars in thousands, except share amounts, unless otherwise noted.
2.    Business AcquiredAcquisitions

Barbican Group HoldingsWestpac Lenders Mortgage Insurance Limited (“WLMI”)
On November 29, 2019,August 31, 2021, the Company closedcompleted the acquisition of BarbicanWLMI, an Australian Prudential Regulation Authority authorized captive lenders mortgage insurance (“LMI”) provider to the Westpac Banking Corporation (“Westpac”). As part of the acquisition, WLMI retained its existing risk in force and will remain Westpac’s exclusive provider of LMI on new mortgage originations for a period of 10 years from the acquisition date. The Company was renamed Arch Lenders Mortgage Indemnity Limited (“Arch Indemnity”) and will be the Company’s primary provider of LMI to the Australian market.
Somerset Bridge Group Limited, Southern Rock Holdings Limited and its subsidiariesaffiliates (“Barbican”Somerset Group”), including Barbican Managing Agency Limited (“BMAL”), Lloyd’s Syndicate 1955 (“Barbican Syndicate 1955”), Castel Underwriting Agencies Limited (“Castel”) and other associated entities.
The Ardonagh Group
On January 1, 2019, the Company’s U.K. insurance operations entered into a transaction with The Ardonagh Group to acquire renewal rights for a U.K. commercial lines book of business, consisting of commercial property, casualty, motor, professional liability, personal accident and travel business.
McNeil
On DecemberAugust 6, 2018,2021, the Company closedcompleted the acquisition of McNeil & Co. (“McNeil”), a nationwide leader in specialized risk managementSomerset Group. The acquisition includes Somerset Group’s motor insurance managing general agent, distribution capabilities through direct and insurance programs headquartered in Cortland, New York.aggregator channels, affiliated insurer and fully integrated claims operation.
Arch MI Asia Limited
On July 1, 2017,In connection with the acquisitions noted above, the Company closed the acquisition of AIG United Guaranty Insurance (Asia) Limited (renamed “Arch MI Asia Limited”) following the payment of $40.0 million to American International Group, Inc. (“AIG”). Arch MI Asia Limited compliments the Company’s existing private mortgage insurance businesses, which have operations in the United States, Europeincreased its goodwill and Australia.
intangible assets by $350.1 million.
3.    Significant Accounting Policies

(a) Basis of Presentation
The consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”) and include the accounts of Arch Capital and its subsidiaries, including Arch Reinsurance Ltd. (“Arch Re Bermuda”), Arch Reinsurance Company (“Arch Re U.S.”), Arch Capital Group (U.S.) Inc.(“Arch-U.S.”), Arch Insurance Company, Arch Specialty Insurance Company, Arch Excess & SurplusProperty Casualty Insurance Company (“Arch P&C”), Arch Indemnity Insurance Company (“Arch Indemnity Insurance”), Arch Insurance Canada Ltd. (“Arch Insurance Canada”), Arch Reinsurance Europe Underwriting Designated Activity Company (“Arch Re Europe”), Arch Mortgage Insurance Company (“AMIC”), Arch Mortgage Guaranty Company (“AMG”), United Guaranty Residential Insurance Company (“UGRIC”), Arch Indemnity, Arch Insurance (EU) Designated Activity Company (formerly, Arch Mortgage Insurance Designated Activity Company) (“Arch Insurance (EU)”), Arch Insurance (UK)(U.K.) Limited (formerly Arch Insurance Company (Europe) Limited)(“(“Arch Insurance (U.K.)”), and the Company’s participation on Lloyd’s of London syndicatesyndicates: 2012 and related companies (“Arch Syndicate 2012”), Barbican and Watford.1955 (“Arch Syndicate 1955” and together with Arch Syndicate 2012, the Company’s “Lloyd’s Syndicates”). All significant intercompany transactions and balances have been eliminated in consolidation.
The preparation of financial statements in conformity with GAAP requires management to make estimates and assumptions that affect the reported amounts of assets and liabilities and disclosure of contingent assets and liabilities at the date of the financial statements and the reported amounts of revenues and expenses during the reporting period. Actual results could differ materially from those estimates and assumptions. The Company’s principal estimates include:
The reserve for losses and loss adjustment expenses;
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses, including the provision for uncollectible amounts;
Estimates of written and earned premiums;
The valuation of the investment portfolio and assessment of other-than-temporary impairments (“OTTI”);
The valuation of purchased intangible assets;
The assessment of goodwill and intangible assets for impairment; and
the valuation of deferred tax assets.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation. Such reclassifications had no effect on the Company’s net income, shareholders’ equity or cash flows.
In 2018, the shareholders approved a 3-for-one stock split of the Company's common shares. All historical share and per share amounts reflect the effect of the stock split.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Estimates of written and earned premiums;
The valuation of the investment portfolio and assessment of allowance for credit losses;
The valuation of purchased intangible assets;
The assessment of goodwill and intangible assets for impairment; and
The valuation of deferred tax assets.
(b) Premium Revenues and Related Expenses
Insurance. Insurance premiums written are generally recorded at the policy inception and are primarily earned on a pro rata basis over the terms of the policies for all products, usually 12 months. Premiums written include estimates in the Company’s programs, specialty lines, lenders products business and for participation in involuntary pools. Such premium estimatesthat are derived from multiple sources which include the historical experience of the underlying business, similar business and available industry information. Unearned premium reserves represent the portion of premiums written that relates to the unexpired terms of in-force insurance policies.
Reinsurance. Reinsurance premiums written include amounts reported by brokers and ceding companies, supplemented by the Company’s own estimates of premiums where reports have not been received. The determination of premium estimates requires a review of the Company’s experience with the ceding companies, familiarity with each market, the timing of the reported information, an analysis and understanding of the characteristics of each line of business, and management’s judgment of the impact of various factors, including premium or loss trends, on the volume of business written and ceded to the Company. On an ongoing basis, the Company’s underwriters review the amounts reported by these third parties for reasonableness based on their experience and knowledge of the subject class of business, taking into account the Company’s historical experience with the brokers or ceding companies. In addition, reinsurance contracts under which the Company assumes business generally contain specific provisions which allow the Company to perform audits of the ceding company to ensure compliance with the terms and conditions of the contract, including accurate and timely reporting of information. Based on a review of all available information, management establishes premium estimates where reports have not been received. Premium estimates are updated when new information is received and differences between such estimates and actual amounts are recorded in the period in which estimates are changed or the actual amounts are determined.
Reinsurance premiums written are recorded based on the type of contracts the Company writes. Premiums on the Company’s excess of loss and pro rata reinsurance contracts are estimated when the business is underwritten. For excess of loss contracts, premiums are recorded as written based on
the terms of the contract. Estimates of premiums written under pro rata contracts are recorded in the period in which the underlying risks are expected to incept and are based on information provided by the brokers and the ceding companies. For multi-year reinsurance treaties which are payable in annual installments, generally, only the initial annual installment is included as premiums written at policy inception due to the ability of the reinsured to commute or cancel coverage during the term of the policy. The remaining annual installments are included as
premiums written at each successive anniversary date within the multi-year term.
Reinstatement premiums for the Company’s insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment.
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned. A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts.
Reinsurance premiums written, irrespective of the class of business, are generally earned on a pro rata basis over the terms of the underlying policies or reinsurance contracts. Contracts and policies written on a “losses occurring” basis cover claims that may occur during the term of the contract or policy, which is typically 12 months. Accordingly, the premium is earned evenly over the term. Contracts which are written on a “risks attaching” basis cover claims which attach to the underlying insurance policies written during the terms of such contracts. Premiums earned on such contracts usually extend beyond the original term of the reinsurance contract, typically resulting in recognition of premiums earned over a 24-month period. Certain of the Company’s reinsurance contracts include provisions that adjust premiums or acquisition expenses based upon the experience under the contracts. Premiums written and earned, as well as related acquisition expenses, are recorded based upon the projected experience under such contracts.
The Company also writes certain reinsurance business that is intended to provide insurers with risk management solutions that complement traditional reinsurance. Under these contracts, the Company assumes a measured amount of insurance risk in exchange for an anticipated margin, which is typically lower than on traditional reinsurance contracts. The terms and conditions of these contracts may include additional or return premiums based on loss experience, loss corridors, sublimits and caps. Examples of such business include aggregate stop-loss coverages, financial quota share coverages and multi-year


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



retrospectively rated excess of loss coverages. If these contracts are deemed to transfer risk, they are accounted for as reinsurance. Otherwise, such contracts are accounted for under the deposit method.
Mortgage. Mortgage guaranty insurance policies are contracts that are generally non-cancelable by the insurer, are renewable at a fixed price, and provide for payment of premiums on a monthly, annual or single basis. Upon renewal, the Company is not able to re-underwrite or re-price its policies. Consistent with industry accounting practices, premiums written on a monthly basis are earned as coverage is provided. Premiums written on an annual basis are amortized on a monthly pro rata basis over the year of coverage. Primary mortgage insurance premiums written on

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policies covering more than one year are referred to as single premiums. A portion of the revenue from single premiums is recognized in premiums earned in the current period, and the remaining portion is deferred as unearned premiums and earned over the estimated expiration of risk of the policy. If single premium policies related to insured loans are canceled due to repayment by the borrower and the policy is a non-refundable product, the remaining unearned premium related to each canceled policy is recognized as earned premium upon notification of the cancellation.
Reinstatement premiums for the Company’s insurance and reinsurance operations are recognized at the time a loss event occurs, where coverage limits for the remaining life of the contract are reinstated under pre-defined contract terms. Reinstatement premiums, if obligatory, are fully earned when recognized. The accrual of reinstatement premiums is based on an estimate of losses and loss adjustment expenses, which reflects management’s judgment.
Premium estimates are reviewed by management at least quarterly. Such review includes a comparison of actual reported premiums to expected ultimate premiums along with a review of the aging and collection of premium estimates. Based on management’s review, the appropriateness of the premium estimates is evaluated, and any adjustment to these estimates is recorded in the period in which it becomes known. Adjustments to premium estimates could be material and such adjustments could directly and significantly impact earnings favorably or unfavorably in the period they are determined because the estimated premium may be fully or substantially earned. A significant portion of amounts included as premiums receivable, which represent estimated premiums written, net of commissions, are not currently due based on the terms of the underlying contracts.
Unearned premiums represent the portion of premiums written that is applicable to the estimated unexpired risk of insured loans. A portion of premium payments may be refundable if the insured cancels coverage, which generally occurs when the loan is repaid, the loan amortizes to a sufficiently low amount to trigger a lender permitted or legally required cancellation, or the value of the property has increased sufficiently in accordance with the terms of the contract. Premium refunds reduce premiums earned in the consolidated statements of income. Generally, only unearned premiums are refundable.
Premiums receivable include amounts receivable from agents, brokers and insured that are both currently due and amounts not yet due on insurance, reinsurance and mortgage insurance policies. Premiums receivable balances are reported net of an allowance for expected credit losses. The Company monitors credit risk associated with premiums receivable through its ongoing review of amounts outstanding, aging of the receivable, historical loss data, and
counterparty financial strength measures. The allowance also includes estimated uncollectible amounts related to dispute risk. In certain instances, credit risk may be reduced by the Company’s right to offset loss obligations or unearned premiums against premiums receivable. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
Acquisition Costs. Acquisition costs that are directly related and incremental to the successful acquisition or renewal of business are deferred and amortized based on the type of contract. The Company’s insurance and reinsurance operations capitalize incremental direct external costs that result from acquiring a contract but do not capitalize salaries, benefits and other internal underwriting costs. For the Company’s mortgage insurance operations, which include a substantial direct sales force, both external and certain internal direct costs are deferred and amortized. For property and casualty insurance and reinsurance contracts, deferred acquisition costs are amortized over the period in which the related premiums are earned. Consistent with mortgage insurance industry accounting practice, amortization of acquisition costs related to the mortgage insurance contracts for each underwriting year’s book of business is recorded in proportion to estimated gross profits. Estimated gross profits are comprised of earned premiums and losses and loss adjustment expenses. For each underwriting year, the Company estimates the rate of amortization to reflect
actual experience and any changes to persistency or loss development.
Deferred acquisition costs are carried at their estimated realizable value and take into account anticipated losses and loss adjustment expenses, based on historical and current experience, and anticipated investment income.
A premium deficiency occurs if the sum of anticipated losses and loss adjustment expenses, unamortized acquisition costs and maintenance costs exceed unearned premiums (including expected future premiums) and anticipated investment income. A premium deficiency reserve (“PDR”) is recorded by charging any unamortized acquisition costs to expense to the extent required in order to eliminate the deficiency. If the premium deficiency exceeds unamortized acquisition costs then a liability is accrued for the excess deficiency.
To assess the need for a PDR on mortgage exposures, the Company develops loss projections based on modeled loan defaults related to its current policies in force. This projection is based on recent trends in default experience, severity and rates of defaulted loans moving to claim, as well as recent trends in the rate at which loans are prepaid, and incorporates anticipated interest income. Evaluating the expected

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profitability of the Company’s existing mortgage insurance business and the need for a PDR for its mortgage business involves significant reliance upon assumptions and estimates with regard to the likelihood, magnitude and timing of potential losses and premium revenues.
No premium deficiency charges were recorded by the Company during 2019, 20182022, 2021 or 2017.2020.
(c) Deposit Accounting
Certain assumed reinsurance contracts that are deemed not to transfer insurance risk, are accounted for using the deposit method of accounting. However, it is possible that the Company could incur financial losses on such contracts. Management exercises significant judgment in the assumptions used in determining whether assumed contracts should be accounted for as reinsurance contracts or deposit contracts. For those contracts that contain only significant underwriting risk, the estimated profit margin is deferred and amortized over the contract period and such amount is included in the Company’s underwriting results. When the estimated profit margin is explicit, the margin is reflected as other underwriting income and any adverse financial results on such contracts are reflected as incurred losses. When the estimated profit margin is implicit, the margin is reflected as an offset to paid losses and any adverse financial results on such contracts are reflected as incurred losses. Additional judgments are required when applying the accounting guidance with respect to the revenue recognition criteria for contracts deemed to transfer only significant underwriting risk. For those contracts that contain only


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significant timing risk, an accretion rate is established at inception of the contract based on actuarial estimates whereby the deposit accounting liability is increased to the estimated amount payable over the contract term. The accretion on the deposit is based on the expected rate of return required to fund the expected future payment obligations. Periodically the Company reassesses the estimated ultimate liability and the related expected rate of return. The accretion of the deposit accounting liability as well as changes to the estimated ultimate liability and the accretion rate would be reflected as part of interest expense in the Company’s results of operations. Any negative accretion in a deposit accounting liability is shown in other underwriting income in the Company’s results of operations.
Under some of these contracts, the ceding company retains the related assets on a funds-heldfunds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Interest income produced by those assets are recorded as part of net investment income in the Company's results of operations.
(d) Retroactive Reinsurance
Retroactive reinsurance reimburses a ceding company for liabilities incurred as a result of past insurable events covered by the underlying policies reinsured. In certain instances, reinsurance contracts cover losses both on a prospective basis and on a retroactive basis and, accordingly, the Company bifurcates the prospective and retrospective elements of these reinsurance contracts and accounts for each element separately where practical. Underwriting income generated in connection with retroactive reinsurance contracts is deferred and amortized into income over the settlement period while losses are charged to income immediately. Subsequent changes in estimated amount or timing of cash flows under such retroactive reinsurance contracts are accounted for by adjusting the previously deferred amount to the balance that would have existed had the revised estimate been available at the inception of the reinsurance transaction, with a corresponding charge or credit to income.
(e) Reinsurance Ceded
In the normal course of business, the Company purchases reinsurance to increase capacity and to limit the impact of individual losses and events on its underwriting results by reinsuring certain levels of risk with other insurance enterprises or reinsurers. The Company uses pro rata, excess of loss and facultative reinsurance contracts. Reinsurance ceding commissions that represent a recovery of acquisition costs are recognized as a reduction to acquisition costs while the remaining portion is deferred. The accompanying consolidated statement of income reflects premiums and losses and loss adjustment expenses and acquisition costs, net of reinsurance ceded. See note 7,8, “Reinsurance” for information on the Company's reinsurance usage. Reinsurance premiums ceded
and unpaid losses and loss adjustment expenses recoverable are estimated in a manner consistent with that of the original policies issued and the terms of the reinsurance contracts. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. In certain instances, the Company obtains collateral, including letters of credit and trust accounts to further reduce the credit exposure on its reinsurance recoverables. The Company reports its reinsurance recoverables net of an allowance for expected credit loss. The allowance is based upon the Company’s ongoing review of amounts outstanding, the financial condition of its reinsurers, amounts and form of collateral obtained and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit loss. Any

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allowance for credit losses is charged to net realized gains (losses) in the period the recoverable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(f) Cash
Cash includes cash equivalents, which are investments with original maturities of three months or less which are not part of the investment portfolio.
(g) Restricted Cash
Restricted cash represents amounts held for the benefit of third parties andor is legally or contractually restricted as to withdrawal or usage by the Company. Such amounts are included in “Other assets” on the Company’s balance sheet.
(h) Investments
The Company currently classifies substantially all of its fixed maturity investments and short-term investments as “available for sale” and, accordingly, they are carried at estimated fair value (also known as fair value) with the changes in fair value recorded as an unrealized gain or loss component of accumulated other comprehensive income in shareholders’ equity. The fair value of fixed maturity securities and equity securities is generally determined from quotations received from nationally recognized pricing services, or when such prices are not available, by reference to broker or underwriter bid indications. Short-term investments comprise securities due to mature within one year of the date of issue. Short-term investments include certain cash equivalents which are part of investment portfolios under the management of external and internal investment managers.
The Company enters into securities lending agreements with financial institutions to enhance investment income whereby it loans certain of its securities to third parties, primarily major brokerage firms, for short periods of time through a lending agent. Such securities have been reclassified as “Securities pledged under securities lending, at fair value.” The Company maintains legal control over the securities it lends, retains the earnings and cash flows associated with the loaned securities and receives a fee from the borrower for the temporary use of the securities. Collateral received is required at a rate of 102% or greater of the fair value of the loaned securities including accrued investment income and is monitored and maintained by the lending agent. Such collateral is reflected as “Collateral received under securities lending, at fair value.”
The Company’s investment portfolio includes certain funds that, due to their ownership structure, are accounted for by the Company using the equity method. In applying the equity method, these investments are initially recorded at cost and are


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subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Changes in the carrying value of such investments are recorded in net income as “Equity in net income (loss) of investments accounted for using the equity method.” As such, fluctuations in the carrying value of the investments accounted for using the equity method may increase the volatility of the Company’s reported results of operations.
The Company’s investment portfolio includes equity securities that are accounted for at fair value. Such holdings primarily include publicly traded common stocks. Dividend income on equities is reflected in net investment income. Changes in fair value on equity securities are included in “Net realized gains (losses)” in the consolidated statement of income.
The Company elected to carry certain fixed maturity securities, equity securities, short-term investments and other investments at fair value under the fair value option afforded by accounting guidance regarding the fair value option for financial assets and liabilities. The fair value for certain of the Company’s other investments are determined using net asset values (“NAVs”) as advised by external fund managers. The NAV is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents.
Changes in fair value of investments accounted for using the fair value option are included in “Net realized gains (losses).” The primary reasons for electing the fair value option were to address simplification and cost-benefit considerations.
The Company invests in reverse repurchase agreements that are generally treated as collateralized receivables. Receivables for reverse repurchase agreements are reflected in “Other investments” or “Short-term investments” in the Company's consolidated balance sheet depending on their terms. These agreements are recorded at their contracted resale amount plus accrued interest, other than those that are accounted for at fair value. In reverse repurchase transactions, the Company obtains an interest in the purchased assets that are received as collateral.
The Company invests in limited partner interests and shares of limited liability companies. Such amounts are included in investments accounted for using the equity method and other investments available for sale and investments accounted for using the fair value option.investments. These investments can often have characteristics of a variable interest entity (“VIE”). A VIE refers to entities that have characteristics such as (i) insufficient equity at risk to allow the entity to finance its activities without additional financial support or (ii) instances where the equity investors, as a group, do not have the characteristic of a controlling financial interest. If the Company is determined to be the primary beneficiary, it is required to consolidate the VIE. The primary beneficiary is defined as the variable interest holder that is determined to have the controlling financial interest as a result of having both (i) the power to direct the activities of a VIE that most significantly impact the economic performance of the VIE and (ii) the obligation to absorb losses or right to receive benefits from the VIE that could potentially be significant to the VIE. At inception of the VIE as well as on an ongoing basis, the Company determines whether it is the primary beneficiary based on an analysis of the Company’s level of involvement in the VIE, the

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contractual terms, and the
overall structure of the VIE. The Company's maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company's consolidated balance sheet and any unfunded commitment.
The Company performs quarterly reviews of its investmentsconducts a periodic review to determine whether declines in fair value below the cost basis are considered other-than-temporary in accordance with applicable accounting guidance regarding the recognitionidentify and presentation of OTTI. The process of determining whether a security is other-than-temporarily impaired requires judgment and involves analyzing many factors. These factors include (i) an analysis of the liquidity, business prospects and overall financial condition of the issuer, (ii) the time period in which there was a significant decline in value, (iii) the significance of the decline and (iv) the analysis of specificevaluate credit events.
When there are credit-related losses associated with debt securities for which the Company does not have an intent to sell and it is more likely than not that it will not be required to sell the security before recovery of its cost basis, the amount of the OTTIbased impairments related to athe Company’s available for sale investments. The Company derives estimated credit loss is recognized in earnings and the amount of the OTTI relatedlosses by comparing expected future cash flows to other factors (e.g., interest rates, market conditions, etc.) is recorded as a component of other comprehensive income (loss). The amount of the credit loss of an impaired debt security is the difference betweenbe collected to the amortized cost andof the greater of (i) the present valuesecurity. Estimates of expected future cash flows consider among other things, macroeconomic conditions as well as the financial condition, near-term and (ii)long-term prospects for the fair valueissuer, and the likelihood of the security. In instances where norecoverability of principal and interest. Effective January 1, 2020, credit losses are recognized through an allowance account subject to reversal, rather than a reduction in amortized cost. Declines in value attributable to factors other than credit are reported as an unrealized loss in other comprehensive income while the allowance for credit loss exists butis charged to net realized gains (losses) in the consolidated statement of income.
For available for sale investments that the Company intends to sell or for which it is more likely than not that the Company will havewould be required to sell the debt security prior to thebefore an anticipated recovery in value, the decline in fair value below amortized cost is recognized as an OTTI in earnings. In periods after the recognition of an OTTI on debt securities, the Company accounts for such securities as if they had been purchased on the measurement datefull amount of the OTTI at an amortizedimpairment is included in net realized gains (losses). The new cost basis equal toof the investment is the previous amortized cost basis lessreduced by the OTTIimpairment recognized in earnings. For debt securities for which OTTI were recognized in earnings, the difference between thenet realized gains (losses). The new amortized cost basis is not adjusted for any subsequent recoveries in fair value.
The Company reports accrued investment income separately from investment balances and has elected not to measure an allowance for credit losses for accrued investment income. Any uncollectible accrued interest income is written off in the cash flows expected to be collected will be accreted or amortized into net investment income. See note 8, “Investment Information” for additional information.period it is deemed uncollectible.
Net investment income includes interest and dividend income together with amortization of market premiums and discounts and is net of investment management and custody fees. Anticipated prepayments and expected maturities are used in applying the interest method for certain investments such as mortgage and other asset-backed securities. When actual prepayments differ significantly from anticipated prepayments, the effective yield is recalculated to reflect actual payments to date and anticipated future payments. The net investment in such securities is adjusted to the amount that would have existed had the new effective yield been applied since the acquisition of the security. Such adjustments, if any, are included in net investment income when determined.


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Investment gains or losses realized on the sale of investments, except for certain fund investments, are determined on a first-in, first-out basis and are reflected in net income. Investment gains or losses realized on the sale of certain fund investments are determined on an average cost basis. Unrealized appreciation or decline in the value of available for sale securities, which are carried at fair value, is excluded from net income and recorded as a separate component of accumulated other comprehensive income, net of applicable deferred income tax.
(i) Derivative Instruments
The Company recognizes all derivative instruments, including embedded derivative instruments, at fair value in its consolidated balance sheets. The Company employs the use of derivative instruments within its operations to mitigate risks arising from assets and liabilities held in foreign currencies as well as part of its overall investment strategy. For such instruments, changes in assets and liabilities measured at fair value are recorded as “Net realized gains”gains (losses)” in the consolidated statements of income. In addition, the Company’s derivative instruments include amounts related to underwriting activities where an insurance or reinsurance contract meets the accounting definition of a derivative instrument. For such contracts, changes in fair value are reflected in “Other underwriting income” in the consolidated statements of income as the underlying contract originates from the Company’s underwriting operations. For the periods ended 2019, 2018,2022, 2021, and 2017,2020, the Company did not designate any derivative instruments as hedges under the relevant accounting guidance. See note 10,11, “Derivative Instruments” for additional information.
(j) Reserves for Losses and Loss Adjustment Expenses
Insurance and Reinsurance. The reserve for losses and loss adjustment expenses consists of estimates of unpaid reported losses and loss adjustment expenses and estimates for losses incurred but not reported. The reserve for unpaid reported losses and loss adjustment expenses, established by management based on reports from ceding companies and claims from insureds, excludes estimates of amounts related to losses under high deductible policies, and represents the estimated ultimate cost of events or conditions that have been reported to or specifically identified by the Company. Such reserves are supplemented by management’s estimates of reserves for losses incurred for which reports or claims have not been received. The Company’s reserves are based on a combination of reserving methods, incorporating both Company and industry loss development patterns. The Company selects the initial expected loss and loss adjustment expense ratios based on information derived by its underwriters and actuaries during the initial pricing of the business, supplemented by industry data where appropriate. Such ratios consider, among other things, rate changes and

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changes in terms and conditions that
have been observed in the market. These estimates are reviewed regularly and, as experience develops and new information becomes known, the reserves are adjusted as necessary. Such adjustments, if any, are reflected in income in the period in which they are determined. As actual loss information has been reported, the Company has developed its own loss experience and its reserving methods include other actuarial techniques. Over time, such techniques have been given further weight in its reserving process based on the continuing maturation of the Company’s reserves. Inherent in the estimates of ultimate losses and loss adjustment expenses are expected trends in claims severity and frequency and other factors which may vary significantly as claims are settled. Accordingly, ultimate losses and loss adjustment expenses may differ materially from the amounts recorded in the accompanying consolidated financial statements. Losses and loss adjustment expenses are recorded on an undiscounted basis, except for excess workers’ compensation and employers’ liability business written by the Company’s insurance operations.
Mortgage. The reserves for mortgage guaranty insurance losses and loss adjustment expenses are the estimated claim settlement costs on notices of delinquency that have been received by the Company, as well as loan delinquencies that have been incurred but have not been reported by the lenders. Consistent with primary mortgage insurance industry accounting practice, the Company does not establish loss reserves for future claims on insured loans that are not currently delinquent (defined as two consecutive missed payments)or more payments in arrears). The Company establishes loss reserves on a case-by-case basis when insured loans are reported delinquent using estimated claim rates and average claim sizes for each cohort, net of any salvage recoverable. The Company also reserves for delinquencies that have occurred but have not yet been reported to the Company prior to the close of an accounting period. To determine this reserve, the Company estimates the number of delinquencies not yet reported using historical information regarding late reported delinquencies and applies estimated claim rates and claim sizes for the estimated delinquencies not yet reported.
The establishment of reserves across the Company’s segments is an inherently uncertain process, are necessarily based on estimates, and the ultimate net cost may vary from such estimates. The methods for making such estimates and for establishing the resulting liability are reviewed and updated using the most current information available. Any resulting adjustments, which may be material, are reflected in current operations.
(k) Contractholder Receivables and Payables and Collateral Held for Insured Obligations
Certain insurance policies written by the Company’s U.S. insurance operations feature large deductibles, primarily in its construction and national accounts linesline of business. Under such contracts, the Company is obligated to pay the claimant


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for the full amount of the claim. The Company is subsequently reimbursed by the policyholderpolicy holder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet inas contractholder payables and contractholder receivables, respectively.receivables. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the Company receives collateral in the form of cash, the Company reflects it in “Collateral held for insured obligations.”
Contractholder receivables are reported net of an allowance for expected credit losses. The allowance is based upon the Company’s ongoing review of amounts outstanding, changes in policyholder credit standing, amounts and form of collateral obtained, and other relevant factors. A ratings based probability-of-default and loss-given-default methodology is used to estimate the allowance for expected credit losses. Any allowance for credit losses is charged to net realized gains (losses) in the period the receivable is recorded and revised in subsequent periods to reflect changes in the Company’s estimate of expected credit losses. See note 7, “Allowance for Expected Credit Losses” for additional information.
(l) Foreign Exchange
Assets and liabilities of foreign operations whose functional currency is not the U.S. Dollar are translated at the prevailing exchange rates at each balance sheet date. Revenues and expenses of such foreign operations are translated at average exchange rates during the year. The net effect of the translation adjustments for foreign operations is included in accumulated other comprehensive income, net of applicable deferred income tax. Monetary assets and liabilities, such as premiums receivable and the reserve for losses and loss adjustment expenses, denominated in foreign currencies are revalued at the exchange rate in effect at the balance sheet date with the resulting foreign exchange gains and losses included in net income. Accounts that are classified as non-monetary, such as deferred acquisition costs and the unearned premium reserves, are not revalued. In the case of foreign currency denominated fixed maturity securities which are classified as “available for sale,” the change in exchange rates between the local currency in which the investments are denominated and the Company’s functional currency at each balance sheet date is included in unrealized appreciation or

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decline in value of securities, a component of accumulated other comprehensive income, net of applicable deferred income tax.
(m) Income Taxes
Deferred income taxes reflect the expected future tax consequences of temporary differences between the carrying amounts of assets and liabilities for financial reporting purposes and amounts used for income tax purposes. A valuation allowance is recorded if it is more likely than not that some or all of a deferred tax asset may not be realized. The Company considers future taxable income and feasible tax planning strategies in assessing the need for a valuation allowance. In the event the Company determines that it will not be able to realize all or part of its deferred income tax assets in the future, an adjustment to the deferred income tax assets would be charged to income in the period in which such determination is made. In addition, if the Company subsequently assesses that the valuation allowance is no longer needed, a benefit would be recorded to income in the period in which such determination
is made. See note 14,15, “Income Taxes” for additional information.
The Company recognizes a tax benefit where it concludes that it is more likely than not that the tax benefit will be sustained on audit by the taxing authority based solely on the technical merits of the associated tax position. If the recognition threshold is met, the Company recognizes a tax benefit measured at the largest amount of the tax benefit that, in the Company’s judgment, is greater than 50% likely to be realized. The Company records interest and penalties related to unrecognized tax benefits in the provision for income taxes.
(n) Share-Based Payment Arrangements
The Company applies a fair value based measurement method in accounting for its share-based payment arrangements with eligible employees and directors. Compensation expense is estimated based on the fair value of the award at the grant date and is recognized in net income over the requisite service period with a corresponding increase in shareholders’ equity. No value is attributed to awards that employees forfeit because they fail to satisfy vesting conditions. The Company’s (i) time-based awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date and (ii) performance-based awards cliff vest after each three year performance period based on achievement of the specified performance criteria. The share-based compensation expense associated with awards that have graded vesting features and vest based on service conditions only is calculated on a straight-line basis over the requisite service period for the entire award. Compensation expense recognized in connection with performance awards is based
on the achievement of the specified performance and service conditions. The final measure of compensation expense recognized over the requisite service period reflects the final performance outcome. During the recognition period compensation expense is accrued based on the performance condition that is probable of achievement. For awards granted to retirement-eligible employees where no service is required for the employee to retain the award, the grant date fair value is immediately recognized as compensation expense at the grant date because the employee is able to retain the award without continuing to provide service. For employees near retirement eligibility, attribution of compensation cost is over the period from the grant date to the retirement eligibility date. These charges had no impact on the Company’s cash flows or total shareholders’ equity. See note 21,22, “Share-Based Compensation” for information relating to the Company’s share-based payment awards.
(o) Guaranty Fund and Other Related Assessments
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payable, or earlier if a reasonable estimate of the assessment can be made.
(p) Treasury Shares
Treasury shares are common shares purchased by the Company and not subsequently canceled. These shares are recorded at cost and result in a reduction of the Company’s shareholders’ equity in its Consolidated Balance Sheets.
(q) Goodwill and Intangible Assets
Goodwill represents the excess of the purchase price of an acquisitionbusiness combination over the fair value of the net assets acquired and is assigned to the applicable reporting unit at acquisition. Goodwill is evaluated for impairment on an annual basis. Impairment tests may be performed more frequently if the facts and circumstances indicate a possible impairment. In performing impairment tests, the Company may first assess qualitative factors to determine whether it is more likely than not (that is, more than a 50% probability) that the fair value of a reporting unit exceeds its carrying amount as a basis for determining whether it is necessary to perform the two-step goodwill impairment test described in the accounting guidance.
Indefinite-lived intangible assets, such as insurance licenses are evaluated for impairment similar to goodwill. Finite-lived intangible assets and liabilities include the value of acquired insurance and reinsurance contracts, which are estimated based on the present value of future expected cash flows and amortized in proportion to the estimated profits expected to be realized. Other finite-lived intangible assets, or liabilities, including favorable or unfavorable contracts,

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customer lists, trade name and IT platforms, are amortized over their useful lives. Finite-lived intangible assets and liabilities are periodically reviewed for indicators of impairment. An impairment is recognized when the carrying amount is not recoverable from its undiscounted cash flows and is measured as the difference between the carrying amount and fair value.
If goodwill or intangible assets are impaired, such assets are written down to their fair values with the related expense recorded in the Company’s results of operations.
(r) Investment in Operating Affiliates
Investment in operating affiliates primarily represent the Company’s investments in which it has significant influence and which are accounted for under the equity method of accounting. In applying the equity method of accounting, investments in operating affiliates are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of net income or loss of the operating affiliate. The Company records its proportionate share of other comprehensive income or loss of the operating affiliate as a component of other comprehensive income. Adjustments are based on the most recently available financial information from the operating affiliate. Changes in the carrying value of these investments are recorded in income (loss) from operating affiliates.
(s) Funds Held Arrangements
Funds held arrangements are agreements with a third party reinsurance company, where the reinsured retains the related assets on a funds held basis. Such amounts are included in “Other assets” on the Company’s balance sheet. Investment returns produced by those assets are recorded as part of net investment income and net realized gains (losses) in the Company's consolidated results of operations. Funds held as collateral by the Company are included in “Other liabilities” and changes to the funds held liability are reflected as part of interest expense in the Company’s consolidated results of operations.

(t) Recent Accounting Pronouncements
Recently Issued Accounting Standards Adopted
The Company adopted ASU 2016-02, “Leases (Topic 842)”, which provides a new comprehensive model2019-12, “Simplifying the Accounting for lease accounting. Topic 842 requires a lessee to recognize a liability to make lease payments (the lease liability)Income Taxes.” This ASU eliminates certain exceptions for recognizing deferred taxes for investments, performing intraperiod tax allocations and a right-of-use asset representing its right to use the underlying asset for the lease term.calculating income taxes in interim periods. The Company adopted the modified retrospective approach of this standard, that resulted in the recognition of a right-of-use asset of $147.9 million as part of other assets and a lease liability of $163.6 million as part of other liabilities in the consolidated balance sheet as of January 1, 2019. The
Company de-recognized the liability for deferred rent that was required under the previous guidance.
In addition, the Company adopted ASU 2018-11, “Leases: Targeted Improvements (Topic 842),” which provides an additional (optional) transition method to adopt the new lease standard. The Company adopted the alternative transition method and elected to utilize a cumulative-effect adjustment to the opening balance of the retained earnings for the year of adoption. As such, the Company’s reporting for the comparative periods prior to the adoption continue to be presented in the financial statements in accordance with previous lease accounting guidance. The Company also adopted the practical expedients as a package which allows the Company to not reassess (1) whether any expired or existing contracts are or contain leases (2) the lease classification for any expired or existing leases (3) initial direct costs for any existing leases and (4) to account for the lease and non-lease components as a single lease component. In addition to electing the practical expedients as a package, the Company elected to include hindsight to determine the lease term of existing leases, and made an accounting policy election to not apply the recognition requirements to short-term leases (lease term of less than twelve months). The cumulative effect adjustment to the opening balance of retained earnings was zero. The adoption of the updated guidance did not have a material effect on the Company’s results of operations or liquidity.
The Company adopted ASU 2018-07 “Improvements to Nonemployee Share-Based Payment Accounting,” which was issued in June 2018 to simplifyclarifies the accounting for share-based payments granted to nonemployees for goods and services. Under this ASU, most of the guidance on such payments to nonemployees would be aligned with the requirements for share-based payments granted to employees. The ASU is effective for reporting periods beginning after December 15, 2018. This guidance and the adoption of this provision did not havetransactions that result in a material effect on the Company's financial position, results of operations or cash flows.
The Company adopted ASU 2018-02 “Income Statement Reporting Comprehensive Income (Topic 220) - Reclassification of Certain Tax Effects from Accumulated Other Comprehensive Income,” which was issued in February 2018 to allow the reclassification of the stranded tax effects in accumulated other comprehensive income (“AOCI”) resulting from the Tax Cuts and Jobs Act of 2017 (“Tax Cuts Act”). Current guidance requires the effect of a change in tax laws or rates on deferred tax balances to be reported in income from continuing operationsstep-up in the accounting period that includes the periodtax basis of enactment, even if the related income tax effects were originally charged or credited directly to AOCI. The amount of the reclassification would include the effect of the change in the U.S. federal corporate income tax rate on the gross deferred tax amounts and related valuation allowances, if any, at the date of the enactment of the Tax Cuts Act related to items in AOCI.


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The updated guidance is effective for reporting periods beginning after December 15, 2018 and is to be applied retrospectively to each period in which the effect of the Tax Cuts Act related to items remaining in AOCI are recognized or at the beginning of the period of adoption.goodwill. The adoption of this ASU did not have a material effect on the Company’s results of operations, financial position or liquidity.
The Company adopted ASU 2017-08 “Receivables - Nonrefundable Fees and Other Costs (Subtopic 310-20), Premium Amortization on Purchased Callable Debt Securities,” which was issued in March 2017. This ASU shortens the amortization period for certain callable debt securities held at a premium and requires the premium to be amortized to the earliest call date. However, the new guidance does not require an accounting change for securities held at a discount whose discount continues to be amortized to maturity. The standard is effective for financial statements issued for fiscal years, and interim periods within those fiscal years, beginning after December 15, 2018, with early adoption permitted. The adoption of the guidance requires a modified retrospective approach with a cumulative-effect adjustment to retained earnings. The adoption of this ASU did not have a material effect on the Company’s consolidated financial statements.
Recently Issued Accounting Standards Not Yet Adopted
ASU 2016-13, “Financial Instruments - Credit Losses (Topic 326),2020-04, “Facilitation of the Effects of Reference Rate Reform on Financial Reporting,” was issued in June 2016. TheMarch 2020 and amended in December 2022 with ASU changes how entities will measure credit losses2022-06, “Reference Rate Reform (Topic 848)”. This ASU provides optional expedients and exceptions for most financial assets and certainapplying GAAP to investments, derivatives, or other instrumentstransactions that aren’t measured at fair value through net income. The ASU requiresreference the London Interbank Offered Rate (“LIBOR”) or another reference rate expected to be discontinued because of reference rate reform. Along with the optional expedients, the amendments include a general principle that permits an entity to estimate its lifetime “expected credit loss” and record an allowance that, when deducted from the amortized cost basis of the financial asset, presents the net amount expectedconsider contract modifications due to reference reform to be collected on the financial asset. The ASU is effective for the 2020 first quarter, and should be applied on a modified retrospective basis for the majority of the provisions with a cumulative-effect adjustment to retained earningsan event that does not require contract re-measurement at the beginningmodification date or reassessment of a previous accounting determination. The amendment deferred the year of adoption. Upon adoption, the Company expects the newsunset date from December 31, 2022 to December 31, 2024. As a result, this standard to have an impact on certain type of investment securities, reinsurance recoverables and contractholder receivables. The Company will adopt the ASU on January 1, 2020 by applying the modified retrospective approach. The Company anticipates recording a cumulative-effect adjustment to the opening balance of retained earnings, which is not expected to have a material effect on the consolidated financial statements.
ASU 2018-13, “Fair Value Measurement (Topic 820): Disclosure Framework - Changes to the Disclosure Requirements for Fair Value Measurement,” was issued in August, 2018. The ASU modifies the disclosure requirements on fair value measurement as part of the disclosure framework project with the objective to improve the effectiveness of disclosures in the notes to the financial statements. The amendments in this update allow for removal of (1) the amount
and reasons for transfer between Level 1 and Level 2 of the fair value hierarchy; (2) the policy for transfers between levels; and (3) the valuation processes for Level 3 fair value measurements. The ASU is effective for fiscal years beginning aftercan be adopted no later than December 15, 2019 and interim periods within those fiscal years. The Company is currently evaluating the impact of the new guidance on its consolidated financial statements and does not expect this guidance to have a material effect on the Company’s consolidated financial statements.
ASU 2018-15, “Intangibles - Goodwill and Other - Internal-Use Software (Subtopic 350-40),” was issued in the 2018 third quarter. This ASU aligns the requirements for capitalizing certain implementation costs incurred in a cloud computing arrangement that is a service contract with the requirements for capitalizing implementation costs incurred to develop or obtain internal-use software.The standard is effective for financial statements issued for fiscal years, and interim periods within those fiscal years, beginning after December 15, 2019,31, 2024, with early adoption permitted. The guidance provides flexibility in adoption, allowing for either retrospective adjustment or prospective adjustment for all implementation costs incurred afterBased on its current analysis, the date of adoption. The Company is currently evaluating the impact ofdoes not expect that the new guidance on the consolidated financial statements. The Company is currently evaluating the impact of the new guidance on its consolidated financial statements and does not expect this guidance towill have a material effect on the Company’s consolidated financial statements.

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4.    Segment Information
The Company classifies its businesses into 3three underwriting segments insurance, reinsurance and mortgage and 2 othertwo operating segments — ‘other’– corporate and corporate (non-underwriting).‘other.’ The Company determined its reportable segments using the management approach described in accounting guidance regarding disclosures about segments of an enterprise and related information. The accounting policies of the segments are the same as those used for the preparation of the Company’s consolidated financial statements. Intersegment business is allocated to the segment accountable for the underwriting results.
The Company’s insurance, reinsurance and mortgage segments each have managers who are responsible for the overall profitability of their respective segments and who are directly accountable to the Company’s chief operating decision makers, the President and Chief Executive Officer of Arch Capital, Chief Financial Officer and Treasurer of Arch Capital and the President and Chief FinancialUnderwriting Officer of Arch Capital. The chief operating decision makers do not assess performance, measure return on equity or make resource allocation decisions on a line of business basis. Management measures segment performance for its three underwriting segments based on underwriting income or loss. The Company does not manage its assets by underwriting segment, with the exception of goodwill and


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intangible assets, and, accordingly, investment income is not allocated to each underwriting segment.
The insurance segment consists of the Company’s insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
•    Construction and national accounts: primary and excess casualty coverages for middle market and national accounts: primary and excess casualty coverages to middle and large accounts in the construction industry and a wide range of products for middle and large national accounts, specializing in loss sensitive primary casualty insurance programs (including large construction accounts, a comprehensive range of products for middle market accounts in specialty industries and casualty solutions for large national accounts, including loss sensitive primary insurance programs (large deductible, self-insured retention and retrospectively rated programs).
•    Excess and surplus casualty: primary and excess casualty insurance coverages written on a non-admitted basis.
•    Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes, cyber insurance, and medical professional and general liability
insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
•    Programs: primarily targeting program managers with unique expertise and niche products offering some combination of general liability, commercial automobile, property, inland marine, umbrella and workers’ compensation.
•    Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, cargo, war, specie and liability. Aviation, stand-alone terrorism and political risks are also offered. Coverage may be provided for operational and construction risk.
•    Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
•    Warranty and lenders solutions: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
•    Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract, commercial and transactional surety coverages.
Excess and surplus casualty: primary and excess casualty insurance coverages, including middle market energy business, and contract binding, which primarily provides casualty coverage through a network of appointed agents to small and medium risks.
Lenders products: collateral protection, debt cancellation and service contract reimbursement products to banks, credit unions, automotive dealerships and original equipment manufacturers and other specialty programs that pertain to automotive lending and leasing.
Professional lines: directors’ and officers’ liability, errors and omissions liability, employment practices liability, fiduciary liability, crime, professional indemnity and other financial related coverages for corporate, private equity, venture capital, real estate investment trust, limited partnership, financial institution and not-for-profit clients of all sizes and medical professional and general liability insurance coverages for the healthcare industry. The business is predominately written on a claims-made basis.
Programs: primarily package policies, underwriting workers’ compensation and umbrella liability business in support of desirable package programs, targeting program managers with unique expertise and niche products offering general liability, commercial automobile, inland marine and property business with minimal catastrophe exposure.
Property, energy, marine and aviation: primary and excess general property insurance coverages, including catastrophe-exposed property coverage, for commercial clients. Coverages for marine include hull, war, specie and liability. Aviation and stand-alone terrorism are also offered.
Travel, accident and health: specialty travel and accident and related insurance products for individual, group travelers, travel agents and suppliers, as well as accident and health, which provides accident, disability and medical plan insurance coverages for employer groups, medical plan members, students and other participant groups.
Other: includes alternative market risks (including captive insurance programs), excess workers’ compensation and employer’s liability insurance coverages for qualified self-insured groups, associations and trusts, and contract and commercial surety coverages, including contract bonds (payment and performance bonds) primarily for medium and large contractors and commercial surety bonds for Fortune 1000 companies and smaller transaction business programs.
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Reinsurance agreements are typically offered on a proportional and/or excess of loss basis and provide coverage to ceding company clients for specific underlying written policies. Product lines include:
Casualty: provides coverage on third party liability exposures including, among others, executive assurance, professional liability, excess and umbrella liability, excess motor and healthcare business, and workers’ compensation. Business is assumed primarily on a treaty basis, with some facultative coverages also offered.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which

Casualty: provides coverage to ceding company clients on third party liability and workers’ compensation exposures from ceding company clients, primarily on a treaty basis. Exposures include, among others, executive assurance, professional liability, workers’ compensation, excess and umbrella liability, excess motor and healthcare business.
Marine and aviation: provides coverage for energy, hull, cargo, specie, liability and transit, and aviation business, including airline and general aviation risks. Business written may also include space business, which includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage to ceding company clients for proportional motor and other lines including surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and political risk.
Property catastrophe: provides protection for most catastrophic losses that are covered in the underlying policies written by reinsureds, including hurricane, earthquake, flood, tornado, hail and fire, and coverage for other perils on a case-by-case basis. Property catastrophe reinsurance provides coverage on an excess of loss basis when aggregate losses and loss adjustment expense from a single occurrence of a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for both personal lines and commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on both a proportional and excess of loss basis. In addition, facultative business is written which focuses on commercial property risks on an excess of loss basis.
Other. includes life reinsurance business on both a proportional and non-proportional basis, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk


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includes coverages for satellite assembly, launch and operation for commercial space programs.
Other specialty: provides coverage for proportional motor reinsurance, whole account multi-line treaties, cyber, trade credit and surety, accident and health, workers’ compensation catastrophe, agriculture and political risk, among others.
Property catastrophe: provides protection for most types of catastrophic losses, including hurricane, earthquake, flood, tornado, hail and fire, and for other perils on a case-by-case basis. Excess of loss coverages are triggered when aggregate losses and loss adjustment expense from a single occurrence of a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for personal lines and/or commercial property exposures and principally covers buildings, structures, equipment and contents. The primary perils in this business include fire, explosion, collapse, riot, vandalism, wind, tornado, flood and earthquake. Business is assumed on either a treaty or facultative basis.
Other: includes life reinsurance business, casualty clash business and, in limited instances, non-traditional business which is intended to provide insurers with risk management solutions that complement traditional reinsurance.

The mortgage segment includes the Company’s U.S. and internationalunderwriting units which offer mortgage insurance and reinsurance operations as well asproducts on a worldwide basis. Underwriting units include:
U.S. primary mortgage insurance: offers private mortgage insurance through Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”), both approved eligible mortgage insurers by Fannie Mae and Freddie Mac. Arch MI U.S. also includes AMG, which is not a government sponsored enterprise (“GSE”) credit-risk sharing transactions. AMIC and UGRIC (combined “Arch MI U.S.”) are approved as eligible mortgage insurers by Federal National Mortgage Associationentity.
U.S. credit risk transfer (“Fannie Mae”CRT”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a government sponsored enterprise, or “GSE.”other: underwrites CRT transactions, which are predominantly with GSEs, and other U.S. reinsurance transactions.
International mortgage insurance/reinsurance: underwrites mortgage insurance and reinsurance outside of the U.S.
The corporate (non-underwriting) segment results include net investment income, other income (loss), other expenses incurred by the Company, interest expense, net realized gains
or losses (which includes changes in the allowance for credit losses on financial assets and net impairment losses includedrecognized in earnings,earnings), equity in net income or loss of investments accounted for using the equity method, other income (loss), corporate expenses, transaction costs and other, amortization of intangible assets, interest expense, net foreign exchange gains or losses, transaction costs and other, income taxes, income or loss from operating affiliates and items related to the Company’s non-cumulative preferred shares. Such amounts exclude the results of the ‘other’ segment.
TheThrough June 30, 2021, the ‘other’ segment includesincluded the results of Watford (seeSomers. In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge. Based on the governing documents of Greysbridge, the Company has concluded that, while it retains significant influence over Somers, Somers no longer constitutes a variable interest entity. Accordingly, effective July 1, 2021, Arch no longer consolidates the results of Somers in its consolidated financial statements. See note 11,12, “Variable Interest Entity and Noncontrolling Interests”Interests.). Watford has its own management and board of directors that is responsible for the overall profitability of the ‘other’ segment. For the ‘other’ segment, performance is measured based on net income or loss.



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The following tables summarize the Company’s underwriting income or loss by segment, together with a reconciliation of underwriting income or loss to net income available to Arch common shareholders, summary information regarding net premiums written and earned by major line of business and net premiums written by location:
Year Ended December 31, 2022
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$6,930,864 $6,948,438 $1,454,971 $15,326,447 $— $15,326,447 
Premiums ceded(1,910,222)(2,024,462)(322,400)(4,249,258)— (4,249,258)
Net premiums written5,020,642 4,923,976 1,132,571 11,077,189 — 11,077,189 
Change in unearned premiums(461,307)(964,595)26,790 (1,399,112)— (1,399,112)
Net premiums earned4,559,335 3,959,381 1,159,361 9,678,077 — 9,678,077 
Other underwriting income— 4,871 8,356 13,227 — 13,227 
Losses and loss adjustment expenses(2,782,945)(2,568,843)324,271 (5,027,517)— (5,027,517)
Acquisition expenses(885,866)(813,555)(40,159)(1,739,580)— (1,739,580)
Other operating expenses(665,472)(267,531)(195,172)(1,128,175)— (1,128,175)
Underwriting income$225,052 $314,323 $1,256,657 1,796,032 — 1,796,032 
Net investment income496,547 — 496,547 
Net realized gains (losses)(662,734)— (662,734)
Equity in net income (loss) of investments accounted for using the equity method115,856 — 115,856 
Other income (loss)(26,165)— (26,165)
Corporate expenses(94,390)— (94,390)
Transaction costs and other(1,092)— (1,092)
Amortization of intangible assets(106,200)— (106,200)
Interest expense(130,266)— (130,266)
Net foreign exchange gains (losses)100,905 — 100,905 
Income (loss) before income taxes and income (loss) from operating affiliates1,488,493 — 1,488,493 
Income tax expense(79,961)— (79,961)
Income (loss) from operating affiliates73,891 — 73,891 
Net income (loss)1,482,423 — 1,482,423 
Amounts attributable to redeemable noncontrolling interests(5,490)— (5,490)
Net income (loss) available to Arch1,476,933 — 1,476,933 
Preferred dividends(40,736)— (40,736)
Net income (loss) available to Arch common shareholders$1,436,197 $— $1,436,197 
Underwriting Ratios
Loss ratio61.0 %64.9 %-28.0 %51.9 %— %51.9 %
Acquisition expense ratio19.4 %20.5 %3.5 %18.0 %— %18.0 %
Other operating expense ratio14.6 %6.8 %16.8 %11.7 %— %11.7 %
Combined ratio95.0 %92.2 %-7.7 %81.6 %— %81.6 %
Goodwill and intangible assets$228,532 $144,846 $430,911 $804,289 $— $804,289 
Total investable assets$28,065,497 $— $28,065,497 
Total assets47,990,507 — 47,990,507 
Total liabilities35,069,605 — 35,069,605 
 Year Ended December 31, 2019
 Insurance Reinsurance Mortgage Sub-Total Other Total
Gross premiums written (1)$3,907,993
 $2,323,223
 $1,466,265
 $7,695,645
 $754,881
 $8,138,960
Premiums ceded(1,266,267) (720,500) (204,509) (2,189,440) (222,019) (2,099,893)
Net premiums written2,641,726
 1,602,723
 1,261,756
 5,506,205
 532,862
 6,039,067
Change in unearned premiums(244,646) (136,334) 104,584
 (276,396) 23,827
 (252,569)
Net premiums earned2,397,080
 1,466,389
 1,366,340
 5,229,809
 556,689
 5,786,498
Other underwriting income (loss)
 6,444
 16,005
 22,449
 2,412
 24,861
Losses and loss adjustment expenses(1,615,475) (1,011,329) (53,513) (2,680,317) (453,135) (3,133,452)
Acquisition expenses(361,614) (239,032) (134,319) (734,965) (105,980) (840,945)
Other operating expenses(454,770) (141,484) (153,092) (749,346) (51,651) (800,997)
Underwriting income (loss)$(34,779) $80,988
 $1,041,421
 1,087,630
 (51,665) 1,035,965
            
Net investment income      491,067
 136,671
 627,738
Net realized gains (losses)      351,202
 15,161
 366,363
Net impairment losses recognized in earnings      (3,165) 
 (3,165)
Equity in net income (loss) of investments accounted for using the equity method      123,672
 
 123,672
Other income (loss)      2,233
 
 2,233
Corporate expenses      (65,667) 
 (65,667)
Transaction costs and other      (14,444) 
 (14,444)
Amortization of intangible assets      (82,104) 
 (82,104)
Interest expense      (93,735) (27,137) (120,872)
Net foreign exchange gains (losses)      (9,252) (11,357) (20,609)
Income (loss) before income taxes      1,787,437
 61,673
 1,849,110
Income tax expense      (155,790) (20) (155,810)
Net income (loss)      1,631,647
 61,653
 1,693,300
Dividends attributable to redeemable noncontrolling interests      
 (16,909) (16,909)
Amounts attributable to nonredeemable noncontrolling interests      
 (40,072) (40,072)
Net income (loss) available to Arch      1,631,647
 4,672
 1,636,319
Preferred dividends      (41,612) 
 (41,612)
Loss on redemption of preferred shares      
 
 
Net income (loss) available to Arch common shareholders      $1,590,035
 $4,672
 $1,594,707
            
Underwriting Ratios           
Loss ratio67.4% 69.0% 3.9% 51.3% 81.4% 54.2%
Acquisition expense ratio15.1% 16.3% 9.8% 14.1% 19.0% 14.5%
Other operating expense ratio19.0% 9.6% 11.2% 14.3% 9.3% 13.8%
Combined ratio101.5% 94.9% 24.9% 79.7% 109.7% 82.5%
            
Goodwill and intangible assets$289,021
 $2,516
 $438,896
 $730,433
 $7,650
 $738,083
            
Total investable assets      $22,285,676
 $2,704,589
 $24,990,265
Total assets      34,374,468
 3,510,893
 37,885,361
Total liabilities      22,977,636
 2,592,173
 25,569,809
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.

(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.


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Year Ended December 31, 2021
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$5,867,734 $5,093,930 $1,507,825 $12,463,788 $457,465 $12,752,487 
Premiums ceded(1,719,541)(1,839,556)(246,757)(3,800,153)(102,763)(3,734,150)
Net premiums written4,148,193 3,254,374 1,261,068 8,663,635 354,702 9,018,337 
Change in unearned premiums(521,725)(413,931)22,351 (913,305)(22,734)(936,039)
Net premiums earned3,626,468 2,840,443 1,283,419 7,750,330 331,968 8,082,298 
Other underwriting income— 3,669 17,665 21,334 739 22,073 
Losses and loss adjustment expenses(2,344,365)(1,924,719)(56,677)(4,325,761)(259,042)(4,584,803)
Acquisition expenses, net(606,265)(536,754)(97,418)(1,240,437)(62,741)(1,303,178)
Other operating expenses(558,906)(212,810)(194,010)(965,726)(32,869)(998,595)
Underwriting income (loss)$116,932 $169,829 $952,979 1,239,740 (21,945)1,217,795 
Net investment income346,808 42,310 389,118 
Net realized gains (losses)299,207 80,638 379,845 
Equity in net income (loss) of investments accounted for using the equity method366,402 — 366,402 
Other income (loss)10,244 — 10,244 
Corporate expenses(77,119)— (77,119)
Transaction costs and other(1,103)(935)(2,038)
Amortization of intangible assets(82,057)(898)(82,955)
Interest expense(131,060)(8,410)(139,470)
Net foreign exchange gains (losses)42,854 (1,325)41,529 
Income (loss) before income taxes and income (loss) from operating affiliates2,013,916 89,435 2,103,351 
Income tax expense(128,348)(234)(128,582)
Income (loss) from operating affiliates264,693 — 264,693 
Net income (loss)2,150,261 89,201 2,239,462 
Amounts attributable to redeemable noncontrolling interests(2,346)(1,953)(4,299)
Amounts attributable to nonredeemable noncontrolling interests— (78,314)(78,314)
Net income (loss) available to Arch2,147,915 8,934 2,156,849 
Preferred dividends(48,343)— (48,343)
Loss on redemption of preferred shares(15,101)— (15,101)
Net income (loss) available to Arch common shareholders$2,084,471 $8,934 $2,093,405 
Underwriting Ratios
Loss ratio64.6 %67.8 %4.4 %55.8 %78.0 %56.7 %
Acquisition expense ratio16.7 %18.9 %7.6 %16.0 %18.9 %16.1 %
Other operating expense ratio15.4 %7.5 %15.1 %12.5 %9.9 %12.4 %
Combined ratio96.7 %94.2 %27.1 %84.3 %106.8 %85.2 %
Goodwill and intangible assets$256,434 $183,523 $505,026 $944,983 $— $944,983 
Total investable assets$27,442,153 $— $27,442,153 
Total assets45,100,945 — 45,100,945 
Total liabilities31,545,816 — 31,545,816 
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.


 Year Ended December 31, 2018
 Insurance Reinsurance Mortgage Sub-Total Other Total
Gross premiums written (1)$3,262,332
 $1,912,522
 $1,360,708
 $6,534,423
 $735,015
 $6,961,004
Premiums ceded(1,050,207) (539,950) (202,833) (1,791,851) (130,840) (1,614,257)
Net premiums written2,212,125
 1,372,572
 1,157,875
 4,742,572
 604,175
 5,346,747
Change in unearned premiums(6,464) (111,356) 28,361
 (89,459) (25,313) (114,772)
Net premiums earned2,205,661
 1,261,216
 1,186,236
 4,653,113
 578,862
 5,231,975
Other underwriting income
 (682) 13,033
 12,351
 2,722
 15,073
Losses and loss adjustment expenses(1,520,680) (846,882) (81,289) (2,448,851) (441,255) (2,890,106)
Acquisition expenses, net(349,702) (211,280) (118,595) (679,577) (125,558) (805,135)
Other operating expenses(364,138) (133,350) (142,432) (639,920) (37,889) (677,809)
Underwriting income (loss)$(28,859) $69,022
 $856,953
 897,116
 (23,118) 873,998
            
Net investment income      437,958
 125,675
 563,633
Net realized gains (losses)      (284,429) (120,915) (405,344)
Net impairment losses recognized in earnings      (2,829) 
 (2,829)
Equity in net income (loss) of investments accounted for using the equity method      45,641
 
 45,641
Other income (loss)      2,419
 
 2,419
Corporate expenses      (58,608) 
 (58,608)
Transaction costs and other      (11,386) (9,000) (20,386)
Amortization of intangible assets      (105,670) 
 (105,670)
Interest expense      (101,019) (19,465) (120,484)
Net foreign exchange gains (losses)      58,711
 10,691
 69,402
Income (loss) before income taxes      877,904
 (36,132) 841,772
Income tax (expense) benefit      (113,924) (27) (113,951)
Net income (loss)      763,980
 (36,159) 727,821
Dividends attributable to redeemable noncontrolling interests      
 (18,357) (18,357)
Amounts attributable to nonredeemable noncontrolling interests      
 48,507
 48,507
Net income (loss) available to Arch      763,980
 (6,009) 757,971
Preferred dividends      (41,645) 
 (41,645)
Loss on redemption of preferred shares      (2,710) 
 (2,710)
Net income (loss) available to Arch common shareholders      $719,625
 $(6,009) $713,616
            
Underwriting Ratios           
Loss ratio68.9% 67.1% 6.9% 52.6% 76.2% 55.2%
Acquisition expense ratio15.9% 16.8% 10.0% 14.6% 21.7% 15.4%
Other operating expense ratio16.5% 10.6% 12.0% 13.8% 6.5% 13.0%
Combined ratio101.3% 94.5% 28.9% 81.0% 104.4% 83.6%
            
Goodwill and intangible assets$114,012
 $
 $513,258
 $627,270
 $7,650
 $634,920
            
Total investable assets      $19,566,861
 $2,757,663
 $22,324,524
Total assets      28,845,473
 3,372,856
 32,218,329
Total liabilities      19,518,395
 2,262,255
 21,780,650
(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.



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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS


Year Ended December 31, 2020
InsuranceReinsuranceMortgageSub-TotalOtherTotal
Gross premiums written (1)$4,688,562 $3,472,086 $1,473,999 $9,632,691 $728,546 $10,088,068 
Premiums ceded(1,525,655)(1,014,716)(194,149)(2,732,564)(190,957)(2,650,352)
Net premiums written3,162,907 2,457,370 1,279,850 6,900,127 537,589 7,437,716 
Change in unearned premiums(291,487)(295,141)118,085 (468,543)22,762 (445,781)
Net premiums earned2,871,420 2,162,229 1,397,935 6,431,584 560,351 6,991,935 
Other underwriting income(31)4,454 20,316 24,739 2,045 26,784 
Losses and loss adjustment expenses(2,092,453)(1,628,320)(528,344)(4,249,117)(440,482)(4,689,599)
Acquisition expenses, net(418,483)(354,048)(134,240)(906,771)(98,071)(1,004,842)
Other operating expenses(489,153)(168,011)(162,202)(819,366)(55,810)(875,176)
Underwriting income (loss)$(128,700)$16,304 $593,465 481,069 (31,967)449,102 
Net investment income401,908 117,700 519,608 
Net realized gains (losses)813,781 9,679 823,460 
Equity in net income (loss) of investments accounted for using the equity method146,693 — 146,693 
Other income (loss)29 — 29 
Corporate expenses(68,492)— (68,492)
Transaction costs and other(9,456)(4,040)(13,496)
Amortization of intangible assets(69,031)— (69,031)
Interest expense(120,214)(23,242)(143,456)
Net foreign exchange gains (losses)(80,161)(3,473)(83,634)
Income (loss) before income taxes and income (loss) from operating affiliates1,496,126 64,657 1,560,783 
Income tax expense(111,812)(26)(111,838)
Income (loss) from operating affiliates16,766 — 16,766 
Net income1,401,080 64,631 1,465,711 
Amounts attributable to redeemable noncontrolling interests(2,997)(4,117)(7,114)
Amounts attributable to nonredeemable noncontrolling interests— (53,076)(53,076)
Net income (loss) available to Arch1,398,083 7,438 1,405,521 
Preferred dividends(41,612)— (41,612)
Net income (loss) available to Arch common shareholders$1,356,471 $7,438 $1,363,909 
Underwriting Ratios
Loss ratio72.9 %75.3 %37.8 %66.1 %78.6 %67.1 %
Acquisition expense ratio14.6 %16.4 %9.6 %14.1 %17.5 %14.4 %
Other operating expense ratio17.0 %7.8 %11.6 %12.7 %10.0 %12.5 %
Combined ratio104.5 %99.5 %59.0 %92.9 %106.1 %94.0 %
Goodwill and intangible assets$280,978 $18,963 $385,272 $685,213 $7,650 $692,863 
Total investable assets$26,856,295 $2,657,612 $29,513,907 
Total assets39,791,983 3,490,314 43,282,297 
Total liabilities26,789,149 2,505,707 29,294,856 

(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.

 Year Ended December 31, 2017
 Insurance Reinsurance Mortgage Sub-Total Other Total
Gross premiums written (1)$3,081,086
 $1,640,399
 $1,368,138
 $6,088,254
 $600,304
 $6,368,425
Premiums ceded(958,646) (465,925) (256,796) (1,679,998) (47,187) (1,407,052)
Net premiums written2,122,440
 1,174,474
 1,111,342
 4,408,256
 553,117
 4,961,373
Change in unearned premiums(9,422) (31,853) (54,176) (95,451) (21,390) (116,841)
Net premiums earned2,113,018
 1,142,621
 1,057,166
 4,312,805
 531,727
 4,844,532
Other underwriting income
 11,336
 15,737
 27,073
 3,180
 30,253
Losses and loss adjustment expenses(1,622,444) (773,923) (134,677) (2,531,044) (436,402) (2,967,446)
Acquisition expenses, net(323,639) (221,250) (100,598) (645,487) (129,971) (775,458)
Other operating expenses(359,524) (146,663) (146,336) (652,523) (31,928) (684,451)
Underwriting income (loss)$(192,589) $12,121
 $691,292
 510,824
 (63,394) 447,430
            
Net investment income      382,072
 88,800
 470,872
Net realized gains (losses)      148,798
 343
 149,141
Net impairment losses recognized in earnings      (7,138) 
 (7,138)
Equity in net income (loss) of investments accounted for using the equity method      142,286
 
 142,286
Other income (loss)      (2,571) 
 (2,571)
Corporate expenses      (61,602) 
 (61,602)
Transaction costs and other      (22,150) 
 (22,150)
Amortization of intangible assets      (125,778) 
 (125,778)
Interest expense      (103,592) (13,839) (117,431)
Net foreign exchange gains (losses)      (113,345) (2,437) (115,782)
Income (loss) before income taxes      747,804
 9,473
 757,277
Income tax benefit      (127,547) (21) (127,568)
Net income      620,257
 9,452
 629,709
Dividends attributable to redeemable noncontrolling interests      
 (18,344) (18,344)
Amounts attributable to nonredeemable noncontrolling interests      
 7,913
 7,913
Net income (loss) available to Arch      620,257
 (979) 619,278
Preferred dividends      (46,041) 
 (46,041)
Loss on redemption of preferred shares      (6,735) 
 (6,735)
Net income (loss) available to Arch common shareholders      $567,481
 $(979) $566,502
            
Underwriting Ratios           
Loss ratio76.8% 67.7% 12.7% 58.7% 82.1% 61.3%
Acquisition expense ratio15.3% 19.4% 9.5% 15.0% 24.4% 16.0%
Other operating expense ratio17.0% 12.8% 13.8% 15.1% 6.0% 14.1%
Combined ratio109.1% 99.9% 36.0% 88.8% 112.5% 91.4%
            
Goodwill and intangible assets$22,310
 $211
 $622,440
 $644,961
 $7,650
 $652,611
            
Total investable assets      $19,716,421
 $2,440,067
 $22,156,488
Total assets      29,037,004
 3,014,654
 32,051,658
Total liabilities      19,959,574
 1,846,149
 21,805,723
(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following tables provide summary information regarding net premiums earned by major line of business and net premiums written by underwriting location:
INSURANCE SEGMENTYear Ended December 31,
202220212020
Net premiums earned (1)
Professional lines$1,314,236 $942,817 $655,872 
Property, energy, marine and aviation772,388667,892506,182
Programs589,860506,867432,854
Travel, accident and health491,847255,590190,944
Construction and national accounts432,020416,107398,999
Excess and surplus casualty393,353318,027270,620
Warranty and lenders solutions127,222153,958114,687
Other438,409365,210301,262
Total$4,559,335 $3,626,468 $2,871,420 
Net premiums written by underwriting location (1)
United States$3,340,038 $2,813,039 $2,158,415 
Europe1,405,7191,125,192856,572
Other274,885 209,962 147,920 
Total$5,020,642 $4,148,193 $3,162,907 
INSURANCE SEGMENTYear Ended December 31,
2019 2018 2017
Net premiums earned (1)     
Professional lines (2)$499,224
 $458,425
 $444,137
Programs414,103
 389,186
 364,639
Property, energy, marine and aviation298,966
 205,069
 173,779
Construction and national accounts325,687
 322,440
 324,517
Travel, accident and health305,085
 297,147
 257,358
Excess and surplus casualty (3)200,615
 172,424
 195,154
Lenders products66,079
 94,248
 97,043
Other (4)287,321
 266,722
 256,391
Total$2,397,080
 $2,205,661
 $2,113,018
      
Net premiums written by underwriting location (1)     
United States$1,983,476
 $1,736,651
 $1,715,467
Europe559,214
 401,974
 344,836
Other99,036
 73,500
 62,137
Total$2,641,726
 $2,212,125
 $2,122,440
REINSURANCE SEGMENTYear Ended December 31,
202220212020
Net premiums earned (1)
Other specialty$1,377,880 $818,801 $626,409 
Property excluding property catastrophe1,091,440836,573562,208
Casualty854,543666,754549,056
Property catastrophe366,991280,738237,736
Marine and aviation159,401152,955109,624
Other109,12684,62277,196
Total$3,959,381 $2,840,443 $2,162,229 
Net premiums written by underwriting location (1)
United States$1,246,507 $828,504 $687,622 
Bermuda2,561,7711,557,2941,001,990 
Europe and other1,115,698868,576767,758 
Total$4,923,976 $3,254,374 $2,457,370 
MORTGAGE SEGMENTYear Ended December 31,
202220212020
Net premiums earned by underwriting location
United States$815,519 $970,507 $1,158,563 
Other343,842 312,912 239,372 
Total$1,159,361 $1,283,419 $1,397,935 
Net premiums written by underwriting location
United States$780,256 $914,477 $1,021,950 
Other352,315 346,591 257,900 
Total$1,132,571 $1,261,068 $1,279,850 

(1)    Segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.

(1)Insurance segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.
(2)Includes professional liability, executive assurance and healthcare business.
(3)Includes casualty and contract binding business.
(4)Includes alternative markets, excess workers' compensation and surety business.
REINSURANCE SEGMENTYear Ended December 31,
2019
2018
2017
Net premiums earned (1)     
Other specialty (2)$478,517
 $474,568
 $408,566
Casualty (3)429,288
 347,034
 341,122
Property excluding property catastrophe362,841
 287,788
 255,453
Property catastrophe90,934
 75,249
 73,300
Marine and aviation48,274
 39,238
 36,214
Other (4)56,535
 37,339
 27,966
Total$1,466,389
 $1,261,216
 $1,142,621
      
Net premiums written by underwriting location (1)     
United States$529,943
 $413,550
 $399,379
Bermuda578,618
 487,523
 350,681
Europe and other494,162
 471,499
 424,414
Total$1,602,723
 $1,372,572
 $1,174,474
(1)Reinsurance segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.
(2)    Includes proportional motor, surety, accident and health, workers’ compensation catastrophe, agriculture, trade credit and other.
(3)Includes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other.
(4)Includes life, casualty clash and other.



ARCH CAPITAL10811620192022 FORM 10-K


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS


OTHER SEGMENTYear Ended December 31,
202220212020
Net premiums earned (1)
Casualty$— $138,551 $245,272 
Other specialty— 118,356 186,717 
Property catastrophe— 15,235 23,037 
Property excluding property catastrophe— 6,578 1,130 
Marine and aviation— 190 429 
Other— 53,058 103,766 
Total$— $331,968 $560,351 
Net premiums written by underwriting location (1)
United States$— $63,403 $115,471 
Europe— 91,499 97,753 
Bermuda— 199,800 324,365 
Total$— $354,702 $537,589 

(1)    Segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.

MORTGAGE SEGMENTYear Ended December 31,
2019 2018 2017
Net premiums earned by underwriting location     
United States$1,134,849
 $1,009,765
 $901,858
Other231,491
 176,471
 155,308
Total$1,366,340
 $1,186,236
 $1,057,166
      
Net premiums written by underwriting location     
United States$1,032,868
 $948,323
 $903,329
Other228,888
 209,552
 208,013
Total$1,261,756
 $1,157,875
 $1,111,342

OTHER SEGMENTYear Ended December 31,
2019 2018 2017
Net premiums earned (1)     
Casualty (2)$246,894
 $277,589
 $333,275
Other specialty (3)185,547
 204,485
 135,855
Property catastrophe13,399
 10,998
 12,690
Property excluding property catastrophe3,503
 2,802
 1,392
Other (4)107,346
 82,988
 48,515
Total$556,689
 $578,862
 $531,727
      
Net premiums written by underwriting location (1)     
United States$127,176
 $49,800
 $11,750
Europe52,065
 91,635
 91,463
Bermuda353,621
 462,740
 449,904
Total$532,862
 $604,175
 $553,117
(1)Other segment results include premiums assumed through intersegment transactions and exclude premiums ceded through intersegment transactions.
(2)Includes professional liability, excess motor, programs and other.
(3)Includes proportional motor and other.
(4)Includes mortgage and other.



ARCH CAPITAL10911720192022 FORM 10-K


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



5.    Reserve for Losses and Loss Adjustment Expenses


The following table represents an analysis of losses and loss adjustment expenses and a reconciliation of the beginning and ending reserve for losses and loss adjustment expenses:
Year Ended December 31,
202220212020
Reserve for losses and loss adjustment expenses at beginning of year$17,757,156 $16,513,929 $13,891,842 
Unpaid losses and loss adjustment expenses recoverable5,599,231 4,314,855 4,082,650 
Net reserve for losses and loss adjustment expenses at beginning of year12,157,925 12,199,074 9,809,192 
Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year5,798,528 4,940,987 4,851,051 
Prior years(771,011)(356,184)(161,452)
Total net incurred losses and loss adjustment expenses5,027,517 4,584,803 4,689,599 
Net losses and loss adjustment expense reserves of acquired business (1)— 104,176 — 
Retroactive reinsurance transactions (2)— (444,147)182,210 
Impact of deconsolidation of Somers (3)— (1,460,611)— 
Foreign exchange (gains) losses and other(290,376)1,181 179,190 
Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year(887,464)(734,846)(661,529)
Prior years(2,254,484)(2,091,705)(1,999,588)
Total net paid losses and loss adjustment expenses(3,141,948)(2,826,551)(2,661,117)
Net reserve for losses and loss adjustment expenses at end of year13,753,118 12,157,925 12,199,074 
Unpaid losses and loss adjustment expenses recoverable6,278,825 5,599,231 4,314,855 
Reserve for losses and loss adjustment expenses at end of year$20,031,943 $17,757,156 $16,513,929 
 Year Ended December 31,
 2019 2018 2017
Reserve for losses and loss adjustment expenses at beginning of year$11,853,297
 $11,383,792
 $10,200,960
Unpaid losses and loss adjustment expenses recoverable2,814,291
 2,464,910
 2,083,575
Net reserve for losses and loss adjustment expenses at beginning of year9,039,006
 8,918,882
 8,117,385
      
Net incurred losses and loss adjustment expenses relating to losses occurring in:     
Current year3,297,037
 3,162,818
 3,205,428
Prior years(163,585) (272,712) (237,982)
Total net incurred losses and loss adjustment expenses3,133,452
 2,890,106
 2,967,446
      
Net losses and loss adjustment expense reserves of acquired business (1)209,486
 
 
      
Retroactive reinsurance transactions (2)(225,500) (420,404) 
      
Foreign exchange (gains) losses36,003
 (143,414) 186,963
      
Net paid losses and loss adjustment expenses relating to losses occurring in:     
Current year(621,202) (524,048) (505,424)
Prior years(1,762,053) (1,682,116) (1,847,488)
Total net paid losses and loss adjustment expenses(2,383,255) (2,206,164) (2,352,912)
      
Net reserve for losses and loss adjustment expenses at end of year9,809,192
 9,039,006
 8,918,882
Unpaid losses and loss adjustment expenses recoverable4,082,650
 2,814,291
 2,464,910
Reserve for losses and loss adjustment expenses at end of year$13,891,842
 $11,853,297
 $11,383,792

(1)    Represents activity related to the Company’s acquisitions in the 2021 period. See
note 2, Acquisitions.
(1)The 2019 amount primarily related to the acquisition of Barbican.
(2)During the 2019 first quarter and 2018 second quarter, a subsidiary of the Company entered into two separate retroactive reinsurance transactions with third party reinsurers to reinsure run-off liabilities associated with certain U.S. insurance exposures.

(2)    See ‘Retroactive Reinsurance Transactions’ section.
2019Development on Prior Year Reserve DevelopmentLoss Reserves
Year Ended December 31, 2022
During 2019,2022, the Company recorded estimated net favorable development on prior year loss reserves of $163.6$771.0 million, which consisted of net favorable development of $15.8$25.3 million from the insurance segment, $46.4$191.6 million from the reinsurance segment and $125.2$554.1 million from the mortgage segment, partially offset by $23.8 million of net adverse development from the ‘other’ segment.
The insurance segment’s net favorable development of $15.8$25.3 million, or 7.00.6 points of net earned premium, consisted of $54.9$55.3 million of net favorable development fromin short-tailed lines and $39.1partially offset by $29.9 million of net adverse development from medium-tailed and long-tailed lines. Net favorable development in short-tailed lines reflected $37.4 million of favorable development in warranty and lenders solutions, primarily resulted from lenders products and property (including special risk other than marine) reserves across allthe 2021 accident years, (i.e.year (i.e., the year in which a loss occurred) partially offset by net adverse, and $14.8 million of favorable development inrelated to travel and accident
business, primarily from the 20182020 and 2021 accident year.years. Net adverse development in medium-tailed and long-tailed lines of $39.1
reflected $24.7 million was primarily due to netof adverse development of $33.6 million in contract binding business, primarily from the 2013 to 2017 accident years, and $30.1 million in programs, primarily from the 2014 and 2018 accident years. Such amounts were partially offset by net favorable development of $19.3 million in professional liability business, primarily from the 2013 to 20162015 and 2018 to 2020 accident years, and $15.8$6.4 million of adverse development in suretycontract binding business, across most accident years, partially offset by $12.9 million of favorable development in marine business, across most accident years. Net adverse development in long-tail lines reflected $18.5 million of adverse development related to casualty business, primarily from the 2014 to 20162020 and 2021 accident years, and $7.3 million of adverse development on construction and national accounts, primarily from the 2017, 2020 and 2021 accident years. This is partially offset by $21.5 million of favorable development in other business, including alternative markets and excess workers’ compensation, primarily from the 2019 and prior accident years.

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The reinsurance segment’s net favorable development of $46.4$191.6 million, or 3.24.8 points of net earned premium, consisted of $70.5$196.2 million of net favorable development from short-tailed lines and $16.0 million of net favorable development from medium-tailed lines, partially offset by $40.1$4.6 million of net adverse development from long-tailed lines. FavorableNet favorable development in short-tailed lines included $33.7reflected $109.4 million of favorable development from property catastrophe and property other than property catastrophe reserves,business, primarily from the 2017 and 2018 to 2021 underwriting years (i.e., all premiums and losses attributable to contracts having an inception or renewal date within the given twelve-month period), $24.0 million of favorable development from property catastrophe business, primarily from the 2018 to 2020 underwriting years, and $40.8$35.0 million from other specialty business, primarily from the 2016 and 2021 underwriting years. Net favorable development in medium-tailed lines reflected $28.0 million in marine and aviation lines, across most underwriting years. Net adverse development in long-tailed lines primarily reflected $4.6 million in casualty, spread across many prior underwriting years.
The mortgage segment experienced net favorable development of $554.1 million, or 47.8 points of net earned premium, with the majority of reserve releases being on COVID-related delinquencies associated with the U.S. first lien portfolio from the 2020 and 2021 accident years. The Company’s credit risk transfer, international, second lien and student loan businesses also contributed to the favorable development.
Year Ended December 31, 2021
During 2021, the Company recorded estimated net favorable development on prior year loss reserves of $356.2 million, which consisted of net favorable development of $16.2 million from the insurance segment, $178.8 million from the reinsurance segment, $169.6 million from the mortgage segment, partially offset by $8.4 million of adverse development from the ‘other’ segment (activity prior to the deconsolidation of Somers).
The insurance segment’s net favorable development of $16.2 million, or 0.4 points of net earned premium, consisted of $109.8 million of net favorable development in short-tailed and long-tailed lines mostly offset by $93.5 million of net adverse development from medium-tailed lines. Net favorable development of $81.7 million in short-tailed lines reflected $38.9 million of favorable development from property (excluding marine), primarily from the 2018 to 2020 accident years, $26.7 million of favorable development in warranty and lenders solutions, primarily from the 2020 accident year, and $16.2 million of favorable development on travel and accident, primarily from the 2016 to 2020 accident years. Net favorable development of $28.1 million in long-tailed lines reflected favorable development in construction, national accounts and alternative markets, primarily from the
2016 to 2019 accident years, partially offset by adverse development in executive assurance, primarily from the 2015, 2017 and 2018 accident years. Net adverse development in medium-tailed lines reflected $57.6 million of adverse development in contract binding, primarily from the 2013 to 2019 accident years and $30.8 million of adverse development in professional liability, primarily from the 2018 to 2020 accident years.
The reinsurance segment’s net favorable development of $178.8 million, or 6.3 points of net earned premium, consisted of $184.1 million of net favorable development from short-tailed and medium-tailed lines, partially offset by $5.3 million of net adverse development from long-tailed lines. Net favorable development of $175.5 million in short-tailed lines reflected $123.3 million from other specialty lines, primarily from 2016the 2014 to 2019 underwriting years, and $88.6 million of favorable development from property other than property catastrophe business, primarily from the 2015 to 2020 underwriting years. Such amounts were partially offset by adverse development of $36.4 million from property catastrophe, primarily from the 2020 underwriting year. Adverse development in long-tailed lines reflected an increase in casualty, primarily from the 2018 underwriting year.
The mortgage segment experienced net favorable development of $169.6 million, or 13.2 points of net earned premium. Approximately a third of this development came from the U.S. first lien portfolio, which benefited from improving economic conditions and rising home prices, resulting in reduced claim rate assumptions primarily associated with pre-pandemic delinquencies. Various vintage CRT contracts also experienced similar effects and contributed to the favorable development, including the effect of contracts called by the GSEs. Subrogation recoveries on second lien and student loan business and international business also contributed to the favorable development.
Year Ended December 31, 2020
During 2020, the Company recorded estimated net favorable development on prior year loss reserves of $161.5 million, which consisted of net favorable development of $7.8 million from the insurance segment, $134.0 million from the reinsurance segment, $19.0 million from the mortgage segment, and $0.7 million from the ‘other’ segment.

The insurance segment’s net favorable development of $7.8 million, or 0.3 points of net earned premium, consisted of $83.0 million of net favorable development in short-tailed and long-tailed lines partially offset by $75.2 million of net adverse development from medium-tailed lines. Net favorable development of $33.6 million in short-tailed lines reflected $21.6 million of favorable development from property (excluding marine), primarily from the 2015 to 2018


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underwriting years.The net reduction of loss estimates for the reinsurance segment’s short-tailed lines primarily resulted from varying levels of reportedaccident years, and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during 2019. Net favorable development of $16.0 million in medium-tailed lines included reductions in marine and aviation reserves, primarily from the 2011 to 2017 underwriting years. Net adverse development in long-tailed lines of $40.1 million was primarily due to net adverse development of $44.5 million in casualty business, primarily from the 2013 to 2018 underwriting years.
The mortgage segment’s net favorable development of $125.2 million, or 9.2 points of net earned premium, included $117.1$8.4 million of favorable development on U.S. primary mortgage business. Such development wastravel and accident, primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business.
2018 Prior Year Reserve Development
During 2018, the Company recorded estimated net favorable development on prior year loss reserves of $272.7 million, which consisted of $24.4 million from the insurance segment, $138.5 million from the reinsurance segment, $107.6 million from the mortgage segment and $2.2 million from the ‘other’ segment.
The insurance segment’s net2019 accident year. Net favorable development of $24.4$49.4 million or 1.1 points of net earned premium, consisted of $48.4in long-tailed lines included $38.8 million of net favorable development from short-tailed linesrelated to other business, including alternative markets and $26.3excess workers’ compensation, across all accident years, and $9.3 million of net favorable development from long-tailed lines, partially offset by $50.3 million of netrelated to construction business. Net adverse development fromin medium-tailed lines. Favorable development in short-tailed lines predominantly consisted of $50.1 million of net favorable development in property lines, primarily from the 2010 to 2017 accident years, partially offset by $5.0reflected $37.9 million of adverse development on travel, accident and health business from the 2013 to 2017 accident years. Net favorable development in long-tailed lines of $26.3 million included $19.7 million of net favorable development on executive assurancesurety business, primarily from the 20152019 accident year, and $1.4$23.1 million of net favorable development in casualtycontract binding business, primarily from the 20092016 to 2015 accident years. Net adverse development in medium tailed lines of $50.3 million was primarily due to net adverse development in contract binding business for2019 accident years, 2013and $16.0 million in program business, primarily from the 2016 to 2017.2019 accident years.

The reinsurance segment’s net favorable development of $138.5$134.0 million, or 11.06.2 points of net earned premium, consisted of $110.4$155.9 million of net favorable development from short-tailed and medium-tailed lines, and $28.1partially offset by $21.9 million of net adverse development from medium-tailed and long-tailed lines. FavorableNet favorable development of $144.0 million in short-tailed lines included $80.8reflected $87.7 million fromrelated to property catastrophe and property other than property catastrophe reserves, primarily from the 2008 to 2017 underwriting years. The net reduction of loss estimates for the reinsurance
segment’s short-tailed lines primarily resulted from varying levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during 2018. Net favorable development of $28.1 million in medium-tailed and long-tailed lines included reductions in casualty reserves of $12.5 million, primarily from the 2002 to 2010 underwriting years, and in marine and aviation reserves of $15.6 million, spread across most underwriting years.
The mortgage segment’s net favorable development of $107.6 million, or 9.1 points of net earned premium, included $103.4 million of favorable development on U.S. primary mortgage business. Such development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business.
2017 Prior Year Reserve Development
During 2017, the Company recorded estimated net favorable development on prior year loss reserves of $238.0 million, which consisted of $8.6 million from the insurance segment,$165.4 million from the reinsurance segment, and $95.0 million from the mortgage segment, less adverse development of $31.0 million from the ‘other’ segment.
The insurance segment’s net favorable development of $8.6 million, or 4.0 points of net earned premium, consisted of $14.9 million of net favorable development from short-tailed lines and $11.8 million of net favorable development from long-tailed lines, partially offset by $18.1 million of net adverse development from medium-tailed lines. Favorable development in short-tailed lines predominantly consisted of $22.8 million of net favorable development in property lines, primarily from the 2011 to 2016 accident years, partially offset by $11.8 million of adverse development on travel, accident and health business from the 2014 to 2016 accident years. Net favorable development in long-tailed lines of $11.8 million included $10.0 million of net favorable development on executive assurance business, primarily from the 2013 accident year, and $8.3 million of net favorable development in casualty business, primarily from the 20072015 to 2013 accident years. Net adverse development in medium-tailed lines of $18.1 million included $56.3 million of net adverse development in program business, primarily from the 2013 to 2015 accident2019 underwriting years, and primarily driven by a few inactive programs that were non-renewed in 2015 and early in 2016, partially offset by $36.2 million of net favorable development in professional liability business, primarily from the 2010 to 2016 accident years.
The reinsurance segment’s net favorable development of $165.4 million, or 14.5 points of net earned premium, consisted of $101.0$53.6 million from short-tailedother specialty lines, and $64.4 million from medium-tailed and long-tailed lines. Favorable development in short-tailed lines included $82.6 million from property catastrophe and property other than property catastrophe reserves, primarily from the 2009 to 2016across most underwriting years.


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The net reduction of loss estimates for the reinsurance segment’s short-tailed lines primarily resulted from varying levels of reported and paid claims activity than previously anticipated which led to decreases in
certain loss ratio selections during 2017. Net favorable2020. Adverse development of $64.4 million in medium-tailed and long-tailed lines included reductionsreflected an increase in casualty, reserves of $43.7 million, primarily from the 20022012 to 20132015 underwriting years, and in marine and aviation reserves of $19.6 million, spread across most underwriting years.

The mortgage segment’s net favorable development of $95.0$19.0 million, or 9.01.4 points of net earned premium, for 2017, included $89.3$16.2 million of favorable development on U.S. primary mortgage insurance business. Such development was primarily driven by continued lower than expected claim rates on first lien business and subrogation recoveries on second lien business and student loan business.
Retroactive Reinsurance Transactions
In 2021, the Company entered into a retroactive reinsurance transaction with third party reinsurer to reinsure run-off liabilities associated with certain U.S. insurance exposures.
In 2021, the Company entered into a reinsurance to close with the related party, in connection with the 2018 and prior years of account for certain London syndicate business. See note 16,Transactions with Related Parties.
In 2020, the Company entered into a reinsurance-to-close agreement related to a third party arrangement covering the 2017 and prior years of account for certain London syndicate business.
6.    Short Duration Contracts

The Company’s reserves for losses and loss adjustment expenses primarily relate to short-duration contracts with various characteristics (e.g., type of coverage, geography, claims duration). The Company considered such information in determining the level of disaggregation for disclosures related to its short-duration contracts, as detailed in the table below:
Reportable segmentLevel of disaggregationIncluded lines of business
InsuranceProperty energy, marine and aviationProperty energy, marine and aviation
Third party occurrence business
Excess and surplus casualty (excluding contract binding); construction and national accounts; and other (including alternative market risks, excess workers’ compensation and employer’s liability insurance coverages)
Third party claims-made businessProfessional lines
Multi-line and other specialty
Programs; contract binding (part of excess and surplus casualty); travel, accident and health; warranty and lenders products;solutions; and other (contract and commercial surety coverages)
ReinsuranceCasualtyCasualty
Property catastropheProperty catastrophe
Property excluding property catastropheProperty excluding property catastrophe
Marine and aviationMarine and aviation
Other specialtyOther specialty
MortgageDirect mortgage insurance in the U.S.Mortgage insurance on U.S. primary exposures

The Company determined the following to be insignificant for disclosure purposes: (i) amounts included in the ‘other’ segment
(i.e., Watford) as described in note 11, “Variable Interest Entity and Noncontrolling Interests”; (ii)(i) certain mortgage business, including non-U.S. primary business, second lien and student loan exposures, global mortgage reinsurance and participation in various GSE credit risk-sharing products; (iii)products and (ii) certain reinsurance business, including casualty clash and non-traditional lines, and (iv) amounts associated with the Barbican acquisition.lines. Such amounts are included as reconciling items.
The Company is required to establish reserves for losses and loss adjustment expenses (“Loss Reserves”) that arise from the business the Company underwrites. Loss Reserves for the insurance, reinsurance and mortgage segments represent estimates of future amounts required to pay losses and loss adjustment expenses for insured or reinsured events which have occurred at or before the balance sheet date. Loss Reserves do not reflect contingency reserve allowances to account for future loss occurrences. Losses arising from future events will be estimated and recognized at the time the losses are incurred and could be substantial.

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Insurance Segment
Loss Reserves for the insurance segment are comprised of estimated amounts for (1) reported losses (“case reserves”) and (2) incurred but not reported losses (“IBNR reserves”). Generally, claims personnel determine whether to establish a case reserve for the estimated amount of the ultimate settlement of individual claims. The estimate reflects the judgment of claims personnel based on general corporate reserving practices, the experience and knowledge of such personnel regarding the nature and value of the specific type of claim and, where appropriate, advice of counsel. The Company also contracts with a number of outside third party administrators in the claims process who, in certain cases, have limited authority to establish case reserves. The work of such administrators is reviewed and monitored by our claims personnel. Loss Reserves are also established to provide for loss adjustment expenses and represent the estimated expense of settling claims, including legal and other fees and the general expenses of administering the claims adjustment process. Periodically, adjustments to the case reserves may be made as additional information is reported or payments are made. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
Ultimate losses and loss adjustment expenses are generally determined by extrapolationprojection of claim emergence and settlement


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patterns observed in the past that can reasonably be expected to persist into the future. In forecasting ultimate losses and loss adjustment expenses with respect to any line of business, past experience with respect to that line of business is the primary resource, developed through both industry and company experience, but cannot be relied upon in isolation. Uncertainties in estimating ultimate losses and loss adjustment expenses are magnified by the length of the time lag between when a claim actually occurs and when it is reported and settled. This time lag is sometimes referred to as the “claim-tail.” During this period additional facts regarding coverages written in prior accident years, as well as about actual claims and trends, may become known and, as a result, may lead to adjustments of the related Loss Reserves. If the Company determines that an adjustment is appropriate, the adjustment is recorded in the accounting period in which such determination is made. Accordingly, should Loss Reserves need to be increased or decreased in the future from amounts currently established, future results of operations would be negatively or positively impacted respectively. The
Company authorizes managing general agents, general agents and other producers to write program business on the Company’s behalf within prescribed underwriting authorities. This delegated authority process introduces additional complexity to the actuarial determination of unpaid future losses and loss adjustment expenses. In order to monitor adherence to the underwriting guidelines given to such parties, the Company periodically performs underwriting and claims due diligence reviews.
In determining ultimate losses and loss adjustment expenses, the cost to indemnify claimants, provide needed legal defense and other services for insureds and administer the investigation and adjustment of claims are considered. These claim costs are influenced by many factors that change over time, such as expanded coverage definitions as a result of new court decisions, inflation in costs to repair or replace damaged property, inflation in the cost of medical services and legislated changes in statutory benefits, as well as by the particular, unique facts that pertain to each claim. As a result, the rate at which claims arose in the past and the costs to settle them may not always be representative of what will occur in the future. The factors influencing changes in claim costs are often difficult to isolate or quantify and developments in paid and incurred losses from historical trends are frequently subject to multiple and conflicting interpretations. Changes in coverage terms or claims handling practices may also cause future experience and/or development patterns to vary from the past. A key objective of actuaries in developing estimates of ultimate losses and loss adjustment expenses, and resulting IBNR reserves, is to identify aberrations and systemic changes occurring within historical experience and adjust for them so that the future can be projected more reliably. Because of the factors previously discussed, this process requires the substantial use of informed judgment and is inherently uncertain.
Although Loss Reserves are initially determined based on underwriting and pricing analyses, the Company’s insurance segment applies several generally accepted actuarial methods, as discussed below, on a quarterly basis to evaluate the Loss Reserves, in addition to the expected loss method, in particular for Loss Reserves from more mature accident years (the year in which a loss occurred). Each quarter, as part of the reserving process, the segments’ actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for the projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.

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These methods generally fall into one of the following categories or are hybrids of one or more of the following categories:
Expected loss methods - these methods are based on the assumption that ultimate losses vary proportionately with premiums. Expected loss and loss adjustment expense ratios are typically developed based upon the information derived by underwriters and actuaries during the initial pricing of the business, supplemented by industry data available from organizations, such as statistical bureaus and consulting firms, where appropriate. These ratios consider, among other things, rate increases and changes in terms and conditions that have been observed in the market. Expected loss methods are useful for estimating ultimate losses and loss adjustment expenses in the early years of long-tailed lines of business, when little or no paid or incurred loss information is available, and is commonly applied when limited loss experience exists for a company.
- these methods are based on the assumption that ultimate losses vary proportionately with premiums. Expected loss and loss adjustment expense ratios are typically developed based upon the information derived by underwriters and actuaries during the initial pricing of the business, supplemented by industry data available from organizations, such as statistical bureaus and consulting firms, where appropriate. These ratios consider, among other things, rate increases and changes in terms and conditions that have been observed in the market. Expected loss methods are useful for estimating ultimate losses and loss adjustment expenses in the early years of long-tailed lines of business, when little or no paid or incurred loss information is available, and is commonly applied when limited loss experience exists for a company.
Historical incurred loss development methods - these methods assume that the ratio of losses in one period to losses in an earlier period will remain constant in the future. These methods use incurred losses (i.e., the sum of cumulative historical loss payments plus outstanding case reserves) over discrete periods of time to estimate future losses. Historical incurred loss development methods may be preferable to historical paid loss development methods because they explicitly take into account open cases and the claims adjusters’ evaluations of the cost to settle all known claims. However, historical incurred loss development methods necessarily assume that case reserving practices are consistently applied over time. Therefore, when there have been significant changes in how case reserves are established, using incurred loss data to project ultimate losses may be less reliable than other methods.
Historical paid loss development methods - these methods, like historical incurred loss development methods, assume that the ratio of losses in one period to losses in an earlier period will remain constant in the future. These methods use incurred losses (i.e., the sum of cumulative historical loss payments plus outstanding case reserves) over discrete periods of time to estimate future losses. Historical incurred loss development methods may be preferable to historical paid loss development methods because they explicitly take into account open cases and the claims adjusters’ evaluations of the cost to settle all known claims. However, historical incurred loss development methods necessarily assume that case reserving practices are consistently applied over time. Therefore, when there have been significant changes in how case reserves are established, using incurred loss data to project ultimate losses may be less reliable than other methods.
Historical paid loss development methods - these methods, like historical incurred loss development methods, assume


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that the ratio of losses in one period to losses in an earlier period will remain constant. These methods use historical loss payments over discrete periods of time to estimate future losses and necessarily assume that factors that have affected paid losses in the past, such as inflation or the effects of litigation, will remain constant in the future. Because historical paid loss development methods do not use incurred losses to estimate ultimate losses, they may be more reliable than the other methods that use incurred losses in situations where there are significant changes in how incurred losses are established by a company’s claims adjusters. However, historical paid loss development methods are more leveraged (meaning that small changes in payments have a larger impact on estimates of ultimate losses) than
actuarial methods that use incurred losses because cumulative loss payments take much longer to equal the expected ultimate losses than cumulative incurred amounts. In addition, and for similar reasons, historical paid loss development methods are often slow to react to situations when new or different factors arise than those that have affected paid losses in the past.
Adjusted historical paid and incurred loss development methods - these methods take traditional historical paid and incurred loss development methods and adjust them for the estimated impact of changes from the past in factors such as inflation, the speed of claim payments or the adequacy of case reserves. Adjusted historical paid and incurred loss development methods are often more reliable methods of predicting ultimate losses in periods of significant change, provided the actuaries can develop methods to reasonably quantify the impact of changes. As such, these methods utilize more judgment than historical paid and incurred loss development methods.
Bornhuetter-Ferguson (“B-F”) paid and incurred loss methods - these methods utilize actual paid and incurred losses and expected patterns of paid and incurred losses, taking the initial expected ultimate losses into account to determine an estimate of expected ultimate losses. The B-F paid and incurred loss methods are useful when there are few reported claims and a relatively less stable pattern of reported losses.
Frequency-Severity methods - These methods utilize actual paid and incurred claim experience, but break the data down into its component pieces: claim counts, often expressed as a ratio to exposure or premium (frequency), and average claim size (severity). The component pieces are projected to an ultimate level and multiplied together to result in an estimate of ultimate loss. These methods are especially useful when the severity of claims can be confined to a relatively stable range of estimated ultimate average claim value.
Bornhuetter-Ferguson (“B-F”) paid and incurred loss methods - these methods utilize actual paid and incurred losses and expected patterns of paid and incurred losses, taking the initial expected ultimate losses into account to determine an estimate of expected ultimate losses. The B-F paid and incurred loss methods are useful when there are few reported claims and a relatively less stable pattern of reported losses.
Frequency-Severity methods - These methods utilize actual paid and incurred claim experience, but break the data down into its component pieces: claim counts, often expressed as a ratio to exposure or premium (frequency), and average claim size (severity). The component pieces are projected to an ultimate level and multiplied together to result in an estimate of ultimate loss. These methods are especially useful when the severity of claims can be confined to a relatively stable range of estimated ultimate average claim value.
Additional analyses - other methodologies are often used in the reserving process for specific types of claims or events, such as catastrophic or other specific major events. These include vendor catastrophe models, which are typically used in the estimation of Loss Reserves at the early stage of known catastrophic events before information has been reported to an insurer or reinsurer.
In the initial reserving process for short-tail insurance lines (consisting of property, energy, marine and aviation and other exposures including travel, accident and health, and warranty and lenders products)solutions), the Company relies on a combination of the reserving methods discussed above. For catastrophe-exposed business, the reserving process also includes the usage of catastrophe models for known events

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and a heavy reliance on analysis of individual catastrophic events and management judgment. The development of losses on short-tail business can be unstable, especially for policies characterized by high severity, low frequency losses. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions in their reserving process, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and underwriters’ judgment as to potential loss exposures can be relied on. The expected loss ratios used in the initial reserving process for short-tail business have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, policy changes (such as attachment points, class and limits) and geographical distribution. As losses in short-tail lines are reported relatively quickly, expected loss ratios are selected for the current accident year based upon actual attritional loss ratios for earlier accident years, adjusted for rate changes, inflation, changes in reinsurance programs and expected attritional losses based on modeling. Furthermore, ultimate losses for short-tail business are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail insurance lines (consisting of third party occurrence business, third party claims made business, and other exposures including surety, programs and contract binding exposures), the Company primarily relies on the expected loss method. The development of the Company’s medium-tail and long-tail business may be unstable, especially if there are high severity major events, as a portion of the Company’s casualty business is in high excess layers. As time passes, for a given accident year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development methods in the reserving process. The Company makes a number of key assumptions
in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the policy is entered into, that the loss development patterns, which are based on a


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combination of company and industry loss development patterns and adjusted to reflect differences in the insurance segment’s mix of business, are reasonable and that claims personnel and underwriters analyses of our exposure to major events are assumed to be the best estimate of exposure to the known claims on those events. The expected loss ratios used in the initial reserving process for medium-tail and long-tail business for recent accident years have varied over time, in some cases significantly, from earlier accident years. As the credibility of historical experience for earlier accident years increases, the experience from these accident years will be given a greater weighting in the actuarial analysis to determine future accident year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
In 2019 and 2018,From time to time, the Company enteredenters into two separate loss portfolio transferstransfer and adverse development cover reinsurance
agreements accounted for as retroactive reinsurance. These agreements transfer Loss Reserves and future favorable or adverse development on certain runoff programs and other exposurescertain third party occurrence business, within multi-line and other specialty business, and certain third party occurrence business (the “Covered Lines”). As incurred losses and allocated loss adjustment expenses for the Covered Lines are ceded to the reinsurer, the Company is not exposed to changes in the amount, timing and uncertainty of cash flows arising from the Covered Lines. To avoid distortion, the incurred losses and allocated loss adjustment expenses and cumulative paid losses and loss adjustment expenses for the Covered Lines are excluded entirely from the tables below. Reinsurance recoverablesUnpaid loss and loss adjustment expenses recoverable at December 31, 20192022 included $319.3$280.2 million related to thesesuch reinsurance agreements.


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The following tables present information on the insurance segment’s short-duration insurance contracts:
Property, energy, marine and aviation ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$158,548 $156,147 $148,622 $142,889 $134,473 $133,400 $128,157 $126,825 $125,813 $124,868 $27 3,982 
2014148,104 145,679 147,248 136,050 132,166 134,192 134,895 134,803 133,605 1,674 3,557 
2015112,299 109,769 103,921 102,449 97,789 91,770 91,833 90,816 2,654 4,244 
2016104,002 100,843 105,184 100,003 95,989 92,108 87,618 61 5,704 
2017280,686 246,264 235,924 230,413 231,199 225,298 3,268 6,287 
2018180,981 186,030 173,693 170,057 170,411 7,177 5,048 
2019179,056 178,564 165,477 161,156 4,162 5,942 
2020359,394 329,362 335,747 28,330 8,546 
2021426,870 428,719 54,746 7,566 
2022521,750 208,080 8,965 
Total$2,279,988 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$32,216 $84,680 $110,432 $119,649 $121,779 $125,014 $122,894 $124,227 $124,381 $124,402 
201425,849 53,632 77,764 84,061 87,681 98,423 115,253 122,165 122,792 
201523,561 64,900 76,282 86,196 87,870 86,190 87,260 87,564 
201624,684 83,218 98,303 97,089 94,570 90,808 87,232 
201730,215 139,849 195,512 211,688 215,874 217,764 
201830,026 102,285 134,858 142,838 149,663 
201926,130 105,380 133,911 139,141 
202055,619 194,487 251,055 
202190,423 267,677 
2022100,476 
Total1,547,766 
All outstanding liabilities before 2013, net of reinsurance18,239 
Liabilities for losses and loss adjustment expenses, net of reinsurance$750,461 
Property, energy, marine and aviation ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $197,399
 $187,305
 $151,937
 $139,757
 $128,475
 $128,799
 $127,530
 $124,974
 $120,813
 $118,570
 $1,310
 3,676
2011   266,725
 269,790
 229,244
 217,753
 208,494
 205,344
 198,763
 198,956
 198,370
 868
 4,219
2012     230,399
 229,820
 203,408
 197,187
 194,746
 190,930
 188,649
 178,394
 2,487
 4,266
2013       156,936
 154,313
 146,777
 140,967
 132,839
 132,211
 128,247
 752
 4,279
2014         146,391
 143,825
 145,065
 134,055
 133,482
 129,973
 6,769
 3,930
2015           110,867
 108,260
 102,535
 102,221
 97,361
 5,669
 4,613
2016             102,910
 99,899
 104,246
 100,542
 560
 6,388
2017               278,549
 247,072
 235,152
 14,830
 6,744
2018                 185,486
 179,262
 29,117
 5,333
2019                   161,850
 59,863
 5,688
                  Total $1,527,721
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $28,433
 $65,846
 $87,476
 $105,887
 $110,892
 $117,737
 $119,953
 $118,437
 $119,276
 $116,822
    
2011   34,002
 98,616
 140,555
 165,950
 198,128
 199,943
 195,613
 196,272
 196,056
    
2012     20,301
 92,034
 137,179
 159,862
 165,488
 177,945
 179,138
 173,058
    
2013       31,874
 83,689
 109,088
 118,131
 120,385
 123,392
 123,696
    
2014         25,620
 53,060
 76,774
 83,080
 86,518
 99,041
    
2015           23,271
 63,990
 75,340
 84,964
 88,433
    
2016             24,442
 82,357
 97,147
 97,674
    
2017               29,915
 138,525
 196,290
    
2018                 29,641
 102,798
    
2019                   26,014
    
          Total  1,219,882
    
          All outstanding liabilities before 2010, net of reinsurance  32,875
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $340,714
    

Third party occurrence business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$282,852 $296,668 $306,572 $301,622 $281,637 $274,246 $272,385 $269,297 $270,110 $263,430 $43,148 66,118 
2014329,718 335,587 338,505 342,759 339,403 343,904 342,641 343,286 345,024 60,263 75,557 
2015358,769 391,570 398,565 391,797 391,132 382,427 386,465 379,226 75,540 78,507 
2016389,530 394,190 405,803 399,315 374,654 367,586 363,453 93,800 78,576 
2017417,097 417,662 422,360 412,231 406,857 406,165 114,603 84,418 
2018430,128 452,879 450,647 451,164 458,050 156,700 77,685 
2019455,928 487,080 480,535 471,279 195,283 84,985 
2020606,640 616,314 640,231 309,019 90,795 
2021621,972 662,716 431,302 89,718 
2022688,082 614,366 70,380 
Total$4,677,656 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$6,840 $29,215 $71,335 $101,153 $122,045 $149,012 $164,090 $174,591 $184,444 $192,159 
20149,200 40,226 71,473 112,541 161,935 191,108 211,440 223,895 237,135 
201511,110 44,514 88,411 139,364 181,505 211,510 227,439 249,399 
201611,679 41,920 87,543 136,759 164,534 194,637 215,481 
201713,391 52,309 99,806 134,988 165,468 220,660 
201816,991 63,776 115,049 154,138 198,502 
201918,375 73,075 121,646 172,948 
202024,407 76,567 154,902 
202126,235 90,791 
202223,981 
Total1,755,958 
All outstanding liabilities before 2013, net of reinsurance263,297 
Liabilities for losses and loss adjustment expenses, net of reinsurance$3,184,995 

ARCH CAPITAL11512420192022 FORM 10-K


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS


Third party claims-made business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$301,608 $320,266 $324,044 $320,177 $294,372 $290,852 $281,642 $271,156 $273,607 $281,584 $14,639 14,953 
2014264,273 279,410 298,541 278,556 281,271 297,248 291,498 287,573 296,153 21,206 15,482 
2015258,740 277,358 276,256 259,830 255,207 252,263 267,725 266,758 18,198 14,392 
2016274,996 291,258 308,080 314,412 321,764 326,960 329,534 29,356 15,083 
2017270,272 285,738 311,724 308,172 323,128 316,673 45,042 15,198 
2018272,543 314,112 319,646 336,106 347,449 61,612 15,934 
2019289,128 317,312 317,363 322,178 93,422 15,858 
2020383,497 413,156 423,375 187,245 15,438 
2021514,676 517,975 351,736 15,751 
2022657,664 575,484 18,190 
Total$3,759,343 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$19,007 $87,386 $137,857 $179,261 $197,861 $216,984 $238,730 $245,423 $246,813 $253,570 
201413,814 63,288 129,409 172,722 207,447 229,314 243,137 249,307 260,333 
20159,059 52,007 100,030 126,431 174,084 193,105 216,892 220,871 
201610,537 68,157 127,203 158,127 205,478 242,300 256,705 
20179,281 67,529 112,975 143,064 195,788 232,508 
201812,241 68,244 118,105 158,389 208,063 
201912,373 65,286 122,046 154,630 
202017,070 87,248 151,750 
202123,253 90,487 
202225,244 
Total1,854,161 
All outstanding liabilities before 2013, net of reinsurance86,120 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,991,302 
Multi-line and other specialty ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$264,243 $272,335 $263,631 $263,928 $251,894 $253,271 $248,634 $245,825 $245,069 $244,191 $2,761 86,371 
2014301,548 325,705 318,453 318,268 317,197 313,221 310,051 309,061 310,977 3,968 130,844 
2015334,684 357,939 356,777 364,815 356,657 349,432 347,206 344,974 5,632 170,579 
2016408,686 430,976 427,829 416,108 409,987 408,004 408,716 8,616 189,406 
2017482,436 501,026 491,347 500,947 504,322 512,717 12,776 229,570 
2018512,406 564,563 562,848 565,116 564,693 21,722 256,621 
2019566,864 612,179 640,262 651,004 38,672 250,441 
2020618,340 569,123 515,016 87,261 162,214 
2021635,186 618,581 153,336 113,165 
2022678,479 425,107 89,859 
Total$4,849,348 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$86,680 $150,925 $180,428 $213,461 $225,324 $234,330 $236,375 $237,293 $238,321 $238,257 
2014107,726 196,899 234,267 267,079 281,195 291,727 293,131 294,630 295,896 
2015138,153 236,108 277,850 305,895 320,971 326,652 330,431 331,320 
2016175,948 304,743 341,789 362,823 379,305 385,314 390,350 
2017181,102 342,385 380,696 423,480 446,002 471,978 
2018211,711 389,047 442,643 479,824 508,649 
2019211,970 385,794 486,882 548,844 
2020171,994 309,106 358,967 
2021156,992 334,549 
2022177,092 
Total3,655,902 
All outstanding liabilities before 2013, net of reinsurance22,275 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,215,721 

Third party occurrence business ($000’s except claim count)
  Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $217,431
 $235,241
 $230,710
 $230,859
 $233,204
 $229,534
 $223,618
 $215,332
 $218,374
 $211,046
 $33,176
 62,757
2011   233,958
 240,406
 253,691
 258,348
 252,227
 253,598
 246,721
 239,395
 233,563
 44,601
 71,101
2012     240,917
 262,373
 267,980
 270,603
 257,059
 252,497
 242,648
 242,454
 60,258
 65,806
2013       282,629
 296,492
 306,358
 301,403
 281,437
 275,101
 271,116
 74,749
 66,990
2014         329,448
 335,281
 338,194
 342,455
 340,408
 341,595
 98,049
 75,526
2015           358,478
 391,198
 398,185
 394,268
 388,744
 146,656
 77,727
2016             389,333
 393,991
 406,785
 397,914
 193,182
 77,100
2017               416,856
 419,456
 421,414
 254,057
 82,458
2018                 434,854
 450,950
 315,814
 74,221
2019                   454,723
 390,054
 62,988
                  Total $3,413,519
    
     
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $6,753
 $25,511
 $45,550
 $72,696
 $102,391
 $117,250
 $132,818
 $142,380
 $148,140
 $158,370
    
2011   7,006
 25,142
 43,309
 73,268
 113,283
 134,342
 152,472
 160,326
 171,744
    
2012     6,962
 30,799
 58,387
 83,193
 108,087
 129,369
 142,932
 153,263
    
2013       6,842
 29,214
 71,328
 101,148
 122,043
 148,951
 162,910
    
2014         9,204
 40,232
 71,397
 112,434
 161,780
 188,871
    
2015           11,112
 44,522
 88,383
 139,283
 179,435
    
2016             11,684
 41,893
 87,424
 135,617
    
2017               13,392
 52,283
 99,225
    
2018                 16,994
 62,762
    
2019                   18,202
    
          Total  1,330,399
    
          All outstanding liabilities before 2010, net of reinsurance  181,719
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $2,264,839
    
Third party claims-made business ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $286,202
 $311,709
 $332,779
 $338,238
 $331,006
 $314,388
 $298,444
 $280,497
 $283,530
 $284,427
 $8,775
 12,335
2011   281,448
 323,369
 314,961
 309,684
 315,118
 294,367
 281,487
 284,242
 279,909
 14,003
 11,762
2012     309,654
 312,143
 310,359
 305,362
 283,903
 268,765
 271,663
 272,826
 17,820
 14,759
2013       295,759
 313,601
 317,165
 313,738
 288,506
 286,280
 271,290
 29,604
 14,542
2014         260,698
 275,172
 293,467
 273,876
 278,182
 287,424
 42,805
 13,935
2015           254,540
 272,413
 271,343
 257,902
 246,366
 43,026
 13,815
2016             270,537
 286,677
 306,837
 304,266
 81,707
 15,716
2017               266,526
 284,875
 300,710
 131,795
 15,904
2018                 272,655
 301,247
 177,552
 14,934
2019                   271,824
 224,119
 9,698
                  Total $2,820,289
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $13,811
 $70,583
 $127,531
 $162,490
 $197,142
 $213,530
 $229,824
 $233,085
 $241,887
 $252,119
    
2011   13,510
 71,038
 128,011
 171,354
 204,215
 223,458
 235,181
 248,524
 259,416
    
2012     17,307
 67,314
 117,891
 160,480
 185,656
 204,240
 221,391
 240,281
    
2013       18,557
 85,442
 134,509
 175,328
 193,704
 212,488
 230,377
    
2014         13,572
 62,308
 127,683
 170,331
 204,330
 223,907
    
2015           8,845
 51,064
 98,371
 124,381
 168,664
    
2016             10,371
 67,446
 125,740
 156,030
    
2017               9,180
 66,582
 111,532
    
2018                 12,123
 67,567
    
2019                   11,443
    
          Total  1,721,336
    
          All outstanding liabilities before 2010, net of reinsurance  126,168
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $1,225,121
    


ARCH CAPITAL11612520192022 FORM 10-K


Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Multi-line and other specialty ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $173,984
 $176,796
 $169,307
 $166,892
 $158,092
 $154,716
 $153,526
 $153,598
 $151,951
 $150,342
 $2,508
 37,891
2011   182,372
 187,924
 182,213
 175,794
 171,923
 171,691
 168,243
 169,851
 169,467
 3,097
 44,881
2012     252,699
 263,326
 257,420
 255,055
 254,155
 246,077
 246,482
 243,042
 4,255
 55,403
2013       263,349
 271,603
 262,837
 263,097
 251,187
 252,713
 247,659
 7,096
 71,701
2014         300,962
 324,736
 317,210
 317,161
 316,047
 312,400
 11,578
 109,295
2015           333,519
 356,543
 355,484
 363,627
 355,095
 17,097
 147,950
2016             406,309
 428,530
 425,281
 413,668
 25,881
 173,735
2017               479,694
 498,860
 488,276
 46,435
 217,360
2018                 573,827
 621,724
 123,652
 243,725
2019                   604,356
 299,028
 169,915
                  Total $3,606,029
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $49,906
 $91,265
 $111,143
 $125,897
 $135,981
 $140,372
 $143,459
 $146,357
 $146,482
 $146,413
    
2011   51,145
 102,910
 117,372
 136,078
 147,466
 151,126
 156,619
 158,902
 161,887
    
2012     78,178
 165,305
 189,330
 208,372
 222,024
 230,929
 232,064
 235,461
    
2013       86,403
 150,432
 179,785
 212,713
 224,665
 233,572
 235,784
    
2014         107,529
 196,081
 232,950
 265,927
 279,950
 290,702
    
2015           137,561
 235,193
 276,608
 304,464
 319,788
    
2016             174,366
 302,470
 339,125
 360,602
    
2017               179,777
 339,753
 378,500
    
2018                 213,065
 399,443
    
2019                   213,559
    
          Total  2,742,139
    
          All outstanding liabilities before 2010, net of reinsurance  23,337
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $887,227
    

The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2019:2022:
  Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
  Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10
Property, energy, marine and aviation 19.1% 39.1% 19.2% 9.1% 5.3% 5.1% 0.1% (1.5)% 0.3% (2.1)%
Third party occurrence business 3.1% 8.8% 10.9% 12.0% 12.3% 8.5% 6.5% 4.1 % 3.8% 4.8 %
Third party claims-made business 4.6% 19.3% 19.1% 13.4% 11.6% 6.6% 5.7% 4.3 % 3.5% 3.6 %
Multi-line and other specialty 35.2% 29.9% 10.5% 9.4% 5.4% 3.2% 1.7% 1.6 % 0.9%  %

Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Property, energy, marine and aviation20.3 %44.2 %18.4 %5.2 %1.5 %1.1 %2.0 %2.2 %0.3 %— %
Third party occurrence business3.4 %9.3 %11.8 %11.2 %9.7 %9.7 %5.4 %4.5 %3.8 %2.9 %
Third party claims-made business4.1 %17.2 %17.2 %11.4 %13.6 %8.8 %6.4 %2.0 %2.1 %2.4 %
Multi-line and other specialty34.3 %28.9 %10.9 %8.8 %4.5 %3.1 %0.9 %0.4 %0.4 %— %
Reinsurance Segment
Loss Reserves for the Company’s reinsurance segment are comprised of (1) case reserves, (2) additional case reserves (“ACRs”) and (3) IBNR reserves. The Company receives reports of claims notices from ceding companies and records case reserves based upon the amount of reserves recommended by the ceding company. Case reserves may be supplemented by ACRs, which may be estimated by the Company’s claims personnel ahead of official notification from the ceding company, or when judgment regarding the size or severity of the known event differs from the ceding company. In certain instances, the Company establishes ACRs even when the ceding company does not report any liability on a known event. In addition, specific claim information reported by ceding companies or obtained through claim audits can alert the Company to emerging trends such as changing legal interpretations of coverage and liability, claims from unexpected sources or classes of business, and significant changes in the frequency or severity of individual claims. Such information is often used in the process of estimating IBNR
reserves. IBNR reserves are established to provide for incurred claims which have not yet been reported at the balance sheet date as well as to adjust for any projected variance in case reserving. Actuaries estimate ultimate losses and loss adjustment expenses using various generally accepted actuarial methods applied to known losses and other relevant information. Like case reserves, IBNR reserves are adjusted as additional information becomes known or payments are made. The process of estimating Loss Reserves involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain.
The estimation of Loss Reserves for the reinsurance segment is subject to the same risk factors as the estimation of Loss Reserves for the insurance segment. In addition, the inherent uncertainties of estimating such reserves are even greater for reinsurers, due primarily to the following factors: (1) the claim-tail for reinsurers is generally longer because claims are first reported to the ceding company and then to the reinsurer through one or more intermediaries, (2) the reliance on premium estimates, where reports have not been received from the ceding


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company, in the reserving process, (3) the potential for writing a number of reinsurance contracts with different ceding companies with the same exposure to a single loss event, (4) the diversity of loss development
patterns among different types of reinsurance contracts, (5) the necessary reliance on the ceding companies for information regarding reported claims and (6) the differing reserving practices among ceding companies.
Ultimate losses and loss adjustment expenses are generally determined by extrapolationprojection of claim emergence and settlement patterns observed in the past that can reasonably be expected to persist into the future.Asfuture. As with the insurance segment, the process of estimating Loss Reserves for the reinsurance segment involves a considerable degree of judgment by management and, as of any given date, is inherently uncertain. As discussed above, such uncertainty is greater for reinsurers compared to insurers. As a result, our reinsurance operations obtain information from numerous sources to assist in the process. Pricing actuaries from the reinsurance segment devote considerable effort to understanding and analyzing a ceding company’s operations and loss history during the underwriting of the business, using a combination of ceding company and industry statistics. Such statistics normally include historical premium and loss data by class of business, individual claim information for larger claims, distributions of insurance limits provided, loss reporting and payment patterns, and rate change history. This analysis is used to project expected loss ratios for each treaty during the upcoming contract period.
As mentioned above, there can be a considerable time lag from the time a claim is reported to a ceding company to the time it is reported to the reinsurer. The lag can be several years in some cases and may be attributed to a number of reasons, including the time it takes to investigate a claim, delays associated with the litigation process, the deterioration in a claimant’s physical condition many years after an accident occurs, the case reserving approach of the ceding company, etc. In the reserving process, the Company assumes that such lags are predictable, on average, over time and therefore the lags are contemplated in the loss reporting patterns used in their actuarial methods. This means that the reinsurance segment must rely on estimates for a longer period of time than does an insurance company. Backlogs in the recording of assumed reinsurance can also complicate the accuracy of loss reserve estimation. As of December 31, 20192022 there were no significant backlogs related to the processing of assumed reinsurance information at our reinsurance operations.

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The reinsurance segment relies heavily on information reported by ceding companies, as discussed above. In order to determine the accuracy and completeness of such information, underwriters, actuaries, and claims personnel often perform audits of ceding companies and regularly review information received from ceding companies for unusual or unexpected results. Material findings are usually discussed with the ceding
companies. The Company sometimes encounters situations where they determine that a claim presentation from a ceding company is not in accordance with contract terms. In these situations, the Company attempts to resolve the dispute with the ceding company. Most situations are resolved amicably and without the need for litigation or arbitration. However, in the infrequent situations where a resolution is not possible, the Company will vigorously defend its position in such disputes.
Although Loss Reserves are initially determined based on underwriting and pricing analysis, the Company applies several generally accepted actuarial methods, as discussed above, on a quarterly basis to evaluate its Loss Reserves in addition to the expected loss method, in particular for reserves from more mature underwriting years (the year in which business is underwritten). Each quarter, as part of the reserving process, the Company’s actuaries reaffirm that the assumptions used in the reserving process continue to form a sound basis for projection of liabilities. If actual loss activity differs substantially from expectations based on historical information, an adjustment to Loss Reserves may be supported. Estimated Loss Reserves for more mature underwriting years are now based more on actual loss activity and historical patterns than on the initial assumptions based on pricing indications. More recent underwriting years rely more heavily on internal pricing assumptions. The Company places more or less reliance on a particular actuarial method based on the facts and circumstances at the time the estimates of Loss Reserves are made.
In the initial reserving process for short-tail reinsurance lines (consisting of property excluding property catastrophe and property catastrophe exposures), the Company relies on a combination of the reserving methods discussed above. For known catastrophic events, the reserving process also includes the usage of catastrophe models and a heavy reliance on analysis which includes ceding company inquiries and management judgment. The development of property losses may be unstable, especially where there is high catastrophic exposure, may be characterized by high severity, low frequency losses for excess and catastrophe-exposed business and may be highly correlated across contracts. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and historical paid and incurred loss development
methods in the reserving process. The Company makes a number of key assumptions in reserving for short-tail lines, including that historical paid and reported development patterns are stable, catastrophe models provide useful information about our exposure to catastrophic events that have occurred and our underwriters’ judgment and guidance received from ceding companies as to potential loss exposures may be relied on. The expected loss ratios used in the initial reserving process for property exposures have varied over time due to changes in pricing, reinsurance structure, estimates of catastrophe losses, terms and conditions and geographical distribution. As losses in property lines are reported relatively


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quickly, expected loss ratios are selected for the current underwriting year incorporating the experience for earlier underwriting years, adjusted for rate changes, inflation, changes in reinsurance programs, expectations about present and future market conditions and expected attritional losses based on modeling. Due to the short-tail nature of property business, reported loss experience emerges quickly and ultimate losses are known in a reasonably short period of time.
In the initial reserving process for medium-tail and long-tail reinsurance lines (consisting of casualty, other specialty, marine and aviation and other exposures), the Company primarily relies on the expected loss method. The development of medium-tail and long-tail business may be unstable, especially if there are high severity major events, with business written on an excess of loss basis typically having a longer tail than business written on a pro rata basis. As time passes, for a given underwriting year, additional weight is given to the paid and incurred B-F loss development methods and eventually to the historical paid
and incurred loss development methods in the reserving process. Our reinsurance operations make a number of key assumptions in reserving for medium-tail and long-tail lines, including that the pricing loss ratio is the best estimate of the ultimate loss ratio at the time the contract is entered into, historical paid and reported development patterns are stable and claims personnel and underwriters’ analyses of our exposure to major events are our best estimate of our exposure to the known claims on those events. The expected loss ratios used in our reinsurance operations’ initial reserving process for medium-tail and long-tail contracts have varied over time due to changes in pricing, terms and conditions and reinsurance structure. As the credibility of historical experience for earlier underwriting years increases, the experience from these underwriting years is used in the actuarial analysis to determine future underwriting year expected loss ratios, adjusted for changes in pricing, loss trends, terms and conditions and reinsurance structure.
The following tables present information on the reinsurance segment’s short-duration insurance contracts:
Casualty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $189,406
 $190,639
 $193,935
 $185,429
 $175,107
 $164,530
 $158,797
 $154,969
 $149,360
 $145,012
 $22,988
 N/A
2011   149,186
 152,793
 146,786
 141,854
 137,580
 134,486
 128,535
 125,712
 127,056
 23,269
 N/A
2012     142,523
 140,694
 136,540
 124,626
 114,660
 109,376
 118,026
 121,306
 32,311
 N/A
2013       165,465
 158,693
 154,478
 148,223
 136,163
 134,615
 130,954
 39,769
 N/A
2014         216,073
 221,252
 218,392
 232,303
 228,802
 238,510
 52,506
 N/A
2015           222,008
 220,835
 229,481
 236,743
 240,762
 65,978
 N/A
2016             213,803
 226,214
 249,540
 264,406
 73,050
 N/A
2017               264,219
 250,550
 265,751
 78,119
 N/A
2018                 278,129
 292,526
 167,212
 N/A
2019                   326,258
 254,304
 N/A
                  Total $2,152,541
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $2,135
 $20,781
 $37,608
 $51,467
 $69,362
 $79,732
 $90,611
 $98,414
 $106,944
 $108,584
    
2011   2,300
 11,403
 21,541
 38,315
 54,298
 63,712
 70,578
 75,747
 81,596
    
2012     1,294
 8,458
 14,648
 25,468
 36,497
 47,732
 59,423
 69,776
    
2013       2,466
 9,902
 22,998
 43,009
 54,496
 63,035
 70,674
    
2014         3,912
 16,038
 40,763
 63,376
 90,965
 114,226
    
2015           4,457
 20,254
 47,198
 70,956
 96,592
    
2016             5,735
 25,643
 51,641
 86,681
    
2017               6,425
 29,376
 59,262
    
2018                 7,579
 31,572
    
2019                   16,101
    
          Total  735,064
    
          All outstanding liabilities before 2010, net of reinsurance  290,219
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $1,707,696
    



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The following tables present information on the reinsurance segment’s short-duration insurance contracts:
Casualty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$163,425 $156,619 $152,392 $146,230 $134,204 $132,701 $129,120 $133,401 $133,687 $133,094 $26,542 N/A
2014212,923 217,991 214,724 227,485 224,105 233,922 234,293 230,944 231,175 33,255 N/A
2015217,343 216,759 224,385 231,473 235,637 242,554 245,756 247,419 44,753 N/A
2016208,192 221,004 242,089 257,214 264,573 264,475 268,079 46,122 N/A
2017262,894 251,827 267,173 293,381 304,194 310,858 52,415 N/A
2018270,621 284,405 276,802 281,852 293,320 56,325 N/A
2019325,359 334,755 361,549 372,669 93,310 N/A
2020378,668 367,595 349,831 169,909 N/A
2021434,187 431,165 292,696 N/A
2022541,941 482,552 N/A
Total$3,179,551 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$2,421 $9,822 $22,886 $42,861 $54,323 $62,751 $70,289 $76,141 $81,167 $87,485 
20143,885 15,973 40,651 63,214 90,530 113,596 133,263 143,929 152,586 
20154,440 20,208 46,933 70,523 95,988 119,096 136,138 151,119 
20165,720 25,626 51,494 86,362 112,818 131,341 155,584 
20176,417 30,316 63,922 112,474 136,489 163,243 
20187,576 31,240 106,443 128,728 154,173 
201915,798 57,568 96,593 129,766 
202017,646 50,383 90,156 
202114,633 53,264 
202217,638 
Total1,155,014 
All outstanding liabilities before 2013, net of reinsurance299,288 
Liabilities for losses and loss adjustment expenses, net of reinsurance$2,323,825 

Property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$65,372 $45,962 $34,959 $30,518 $27,974 $27,248 $26,415 $26,543 $26,344 $26,221 $(138)N/A
201443,800 29,801 24,500 21,764 20,026 19,326 19,229 19,004 19,045 (10)N/A
201532,748 17,558 11,425 5,531 3,779 3,133 2,932 2,569 68 N/A
201623,224 16,582 12,749 9,190 6,886 5,987 5,181 877 N/A
201786,410 53,699 49,507 35,893 24,239 21,026 (803)N/A
201873,041 52,001 33,425 19,831 10,722 3,039 N/A
201925,526 14,252 13,093 4,590 4,576 N/A
2020260,244 322,680 326,262 33,413 N/A
2021308,014 302,124 29,963 N/A
2022299,636 73,474 N/A
Total$1,017,376 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$12,035 $18,496 $23,001 $24,697 $26,329 $26,549 $26,549 $27,233 $26,998 $27,023 
201413,619 19,544 17,902 18,679 18,244 18,421 18,550 18,629 18,592 
2015(3,141)(2,109)1,843 2,103 1,659 1,745 1,817 1,874 
2016(7,039)1,759 1,870 2,932 2,086 2,433 2,594 
201730,625 31,621 37,084 27,060 14,215 16,034 
201827,424 7,344 18,253 (10,934)(8,100)
20194,374 8,845 12,895 (11,472)
202052,592 152,075 200,510 
202164,408 167,806 
202269,969 
Total484,830 
All outstanding liabilities before 2013, net of reinsurance2,612 
Liabilities for losses and loss adjustment expenses, net of reinsurance$535,158 
Property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $92,632
 $47,218
 $38,916
 $38,823
 $42,333
 $42,732
 $42,535
 $42,738
 $42,544
 $43,500
 $
 N/A
2011   203,903
 183,897
 165,402
 152,784
 148,956
 148,230
 146,028
 141,950
 140,905
 
 N/A
2012     149,918
 122,948
 108,624
 102,158
 99,931
 99,118
 97,084
 97,192
 164
 N/A
2013       66,695
 47,409
 36,133
 31,664
 29,119
 28,400
 27,532
 (125) N/A
2014         44,896
 30,625
 25,114
 22,263
 20,527
 19,822
 (10) N/A
2015           32,159
 16,787
 10,497
 4,546
 2,715
 184
 N/A
2016             23,411
 16,786
 13,044
 9,370
 639
 N/A
2017               78,418
 45,467
 42,594
 (3,620) N/A
2018                 72,769
 59,033
 4,671
 N/A
2019                   43,497
 15,329
 N/A
                  Total $486,160
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $8,464
 $23,406
 $31,371
 $37,332
 $38,527
 $40,092
 $41,357
 $41,411
 $41,593
 $41,901
    
2011   59,545
 82,065
 113,275
 127,960
 133,439
 135,928
 137,967
 138,355
 138,911
    
2012     25,850
 70,836
 83,869
 90,774
 92,933
 94,062
 94,672
 95,359
    
2013       12,126
 19,095
 23,872
 25,704
 27,450
 27,690
 27,694
    
2014         13,657
 19,823
 18,280
 19,108
 18,699
 18,892
    
2015           (3,689) (3,422) 784
 1,044
 569
    
2016             (7,324) 1,331
 1,593
 2,778
    
2017               28,735
 27,463
 31,558
    
2018                 25,481
 11,872
    
2019                   3,903
    
          Total  373,437
    
          All outstanding liabilities before 2010, net of reinsurance  330
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $113,053
    
Property excluding property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $142,466
 $128,147
 $117,919
 $112,249
 $110,319
 $108,188
 $104,403
 $101,224
 $100,442
 $99,299
 $821
 N/A
2011   206,803
 179,479
 166,987
 163,262
 159,117
 157,811
 155,539
 154,519
 153,198
 1,531
 N/A
2012     156,087
 121,698
 123,613
 119,040
 114,617
 112,398
 110,927
 108,374
 850
 N/A
2013       115,375
 76,856
 70,499
 66,121
 64,397
 63,616
 62,423
 787
 N/A
2014         143,307
 117,304
 99,198
 90,708
 88,436
 84,134
 3,430
 N/A
2015           213,740
 188,293
 183,977
 188,219
 187,493
 13,082
 N/A
2016             176,017
 145,251
 137,493
 136,298
 19,522
 N/A
2017               256,757
 239,608
 226,555
 21,691
 N/A
2018                 222,345
 240,094
 31,217
 N/A
2019                   213,206
 94,880
 N/A
                  Total $1,511,074
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $37,776
 $76,429
 $88,196
 $93,354
 $95,571
 $96,718
 $97,363
 $97,793
 $97,733
 $97,842
    
2011   47,605
 121,234
 141,120
 145,621
 147,675
 148,777
 149,019
 149,291
 150,305
    
2012     26,109
 77,957
 93,165
 101,831
 102,801
 103,435
 102,612
 102,552
    
2013       25,955
 42,669
 49,753
 52,931
 53,730
 55,609
 61,118
    
2014         23,500
 62,790
 71,691
 76,632
 78,271
 78,659
    
2015           75,325
 118,655
 149,122
 160,029
 165,186
    
2016             33,282
 94,875
 98,708
 104,085
    
2017               25,258
 116,304
 145,172
    
2018                 29,478
 107,496
    
2019                   45,380
    
          Total  1,057,795
    
          All outstanding liabilities before 2010, net of reinsurance  5,302
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $458,581
    



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Property excluding property catastrophe ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$114,775 $76,290 $69,981 $65,734 $64,013 $63,247 $62,070 $62,774 $62,288 $63,390 $29 N/A
2014142,092 116,331 98,263 90,031 87,768 83,476 81,812 80,348 79,307 443 N/A
2015213,681 187,932 183,709 187,569 186,861 175,812 172,189 166,580 3,909 N/A
2016174,506 144,323 136,367 134,362 138,216 135,116 128,941 6,208 N/A
2017266,628 247,462 235,310 227,891 212,133 204,128 8,794 N/A
2018222,932 238,876 234,794 211,852 201,429 7,370 N/A
2019214,513 204,620 194,164 189,456 8,407 N/A
2020366,726 338,712 319,097 36,912 N/A
2021545,101 497,059 83,934 N/A
2022742,703 360,528 N/A
Total$2,592,090 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$25,943 $42,418 $49,433 $52,614 $53,400 $55,272 $60,777 $61,640 $61,665 $63,228 
201423,342 62,414 71,144 76,060 77,687 78,067 78,029 77,728 77,894 
201575,458 118,396 148,887 159,482 164,637 158,293 158,537 159,054 
201633,236 94,121 97,918 103,202 111,039 113,300 114,432 
201727,456 124,220 155,139 162,933 177,737 181,029 
201829,654 107,172 151,632 166,598 174,778 
201942,919 123,293 149,377 161,573 
2020100,927 207,061 242,844 
2021135,815 269,481 
2022142,938 
Total1,587,251 
All outstanding liabilities before 2013, net of reinsurance5,765 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,010,604 

Marine and aviation ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $40,973
 $42,297
 $38,520
 $35,428
 $33,524
 $31,910
 $31,160
 $30,331
 $28,521
 $28,347
 $32
 N/A
2011   39,323
 32,910
 35,848
 32,405
 28,785
 27,188
 27,253
 24,863
 23,783
 1,541
 N/A
2012     59,013
 58,857
 55,027
 52,261
 51,053
 49,697
 46,019
 43,000
 4,052
 N/A
2013       39,025
 37,841
 36,796
 35,364
 35,265
 34,528
 34,084
 8,204
 N/A
2014         30,949
 29,140
 27,334
 25,633
 23,635
 23,270
 6,819
 N/A
2015           33,831
 37,614
 31,831
 31,770
 30,822
 5,769
 N/A
2016             27,366
 22,752
 23,569
 19,279
 10,917
 N/A
2017               28,796
 26,342
 23,806
 10,283
 N/A
2018                 28,164
 26,206
 13,754
 N/A
2019                   39,801
 23,090
 N/A
                  Total $292,398
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $8,523
 $13,402
 $16,752
 $18,478
 $20,220
 $26,535
 $27,182
 $27,544
 $27,119
 $27,118
    
2011   4,420
 12,121
 16,529
 19,231
 15,952
 16,626
 21,979
 21,903
 21,965
    
2012     2,657
 11,434
 27,518
 33,294
 35,033
 36,232
 37,719
 38,010
    
2013       4,932
 13,845
 18,511
 21,500
 22,510
 23,778
 24,155
    
2014         4,151
 7,946
 11,538
 12,410
 14,583
 15,016
    
2015           5
 13,436
 19,052
 20,888
 22,663
    
2016             (7,317) (1,676) 523
 3,258
    
2017               1,657
 6,516
 9,339
    
2018                 2,001
 7,015
    
2019                   9,074
    
          Total  177,613
    
          All outstanding liabilities before 2010, net of reinsurance  17,110
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $131,895
    
Other specialty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of reported claims
  Year ended December 31,  
Accident year 2010
unaudited
 2011
unaudited
 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2010 $43,160
 $32,881
 $26,070
 $23,827
 $22,821
 $22,461
 $22,222
 $21,990
 $21,382
 $21,171
 $670
 N/A
2011   112,256
 97,229
 93,206
 91,553
 89,670
 88,313
 87,708
 85,812
 86,232
 2,679
 N/A
2012     221,101
 210,448
 200,482
 194,895
 192,692
 195,632
 193,811
 188,044
 12,317
 N/A
2013       251,978
 225,620
 215,711
 212,088
 213,089
 210,698
 210,201
 15,212
 N/A
2014         275,419
 256,819
 258,738
 251,960
 246,896
 248,573
 19,791
 N/A
2015           210,183
 201,558
 199,726
 196,972
 197,337
 24,609
 N/A
2016             223,625
 221,177
 215,354
 210,053
 26,895
 N/A
2017               275,721
 265,098
 255,873
 44,453
 N/A
2018                 333,228
 328,750
 80,916
 N/A
2019                   372,747
 170,179
 N/A
                  Total $2,118,981
    
                         
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2010 $4,049
 $13,424
 $16,559
 $17,584
 $18,366
 $18,943
 $19,165
 $19,783
 $19,802
 $19,818
    
2011   28,875
 57,832
 69,981
 74,604
 78,073
 79,803
 81,984
 83,080
 82,787
    
2012     45,128
 120,600
 143,106
 154,202
 161,902
 166,066
 170,374
 172,137
    
2013       56,857
 118,642
 144,491
 160,651
 170,279
 175,474
 182,911
    
2014         68,948
 146,900
 182,625
 195,903
 202,401
 213,450
    
2015           54,762
 114,768
 138,794
 145,820
 154,816
    
2016             64,928
 138,782
 162,836
 174,625
    
2017               74,926
 167,782
 197,699
    
2018                 74,550
 208,755
    
2019                   83,456
    
          Total  1,490,454
    
          All outstanding liabilities before 2010, net of reinsurance  9,262
    
        Liabilities for losses and loss adjustment expenses, net of reinsurance  $637,789
    


Marine and aviation ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$38,167 $36,765 $35,669 $34,293 $34,207 $33,453 $33,001 $29,434 $26,728 $25,695 $1,012 N/A
201430,566 28,757 26,995 25,297 23,302 22,919 21,698 21,651 18,511 800 N/A
201533,134 37,019 31,499 31,373 30,423 28,120 27,299 25,008 1,514 N/A
201627,258 22,625 23,448 19,122 16,834 14,896 11,952 4,080 N/A
201728,590 26,165 23,613 20,749 19,842 17,329 4,178 N/A
201827,613 25,680 24,058 24,192 21,052 3,738 N/A
201948,383 54,684 60,321 60,635 5,574 N/A
202082,716 75,695 79,338 28,621 N/A
2021110,129 95,586 51,391 N/A
2022125,685 99,917 N/A
Total$480,791 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$4,751 $13,054 $17,678 $20,580 $21,557 $22,803 $23,176 $22,941 $22,912 $23,648 
20144,005 7,795 11,335 12,209 14,368 14,794 15,650 15,729 17,084 
2015(6)13,321 18,852 20,623 22,318 21,971 22,114 22,297 
2016(7,371)(1,739)445 3,169 5,764 6,656 7,028 
20171,650 6,433 9,249 10,897 11,488 11,817 
20181,993 6,817 11,021 13,332 13,923 
201910,537 21,261 28,680 34,637 
20209,096 26,129 42,203 
20218,407 24,108 
202212,101 
Total208,846 
All outstanding liabilities before 2013, net of reinsurance17,999 
Liabilities for losses and loss adjustment expenses, net of reinsurance$289,944 

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Other specialty ($000’s)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of reported claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$304,905 $280,398 $269,105 $267,106 $266,970 $264,418 $263,713 $257,960 $255,453 $254,380 $4,327 N/A
2014328,056 308,074 310,153 303,589 298,357 299,789 295,270 289,460 287,941 6,034 N/A
2015271,235 269,237 267,079 263,826 263,985 261,158 250,103 248,848 6,340 N/A
2016313,982 310,907 303,432 295,116 301,277 296,251 293,571 8,371 N/A
2017382,884 375,347 357,762 357,212 355,763 351,478 22,234 N/A
2018402,372 395,484 390,135 413,116 408,905 32,668 N/A
2019414,049 393,864 387,810 383,491 38,889 N/A
2020579,367 511,136 506,164 57,946 N/A
2021589,452 590,091 148,264 N/A
2022924,130 601,334 N/A
Total$4,248,999 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
2013$81,609 $155,936 $188,651 $209,775 $222,292 $229,228 $237,023 $237,559 $240,669 $243,881 
201492,743 181,222 223,243 240,680 250,427 263,123 266,898 270,529 271,712 
201580,453 157,176 190,699 204,444 216,683 227,879 230,640 231,384 
2016103,649 196,496 231,761 249,699 265,763 271,609 277,028 
2017130,150 245,165 285,299 299,405 312,273 322,863 
2018124,996 265,000 303,141 323,868 340,061 
2019116,762 204,625 267,972 293,260 
2020129,621 285,729 361,031 
2021146,503 300,025 
2022175,834 
Total2,817,079 
All outstanding liabilities before 2013, net of reinsurance13,001 
Liabilities for losses and loss adjustment expenses, net of reinsurance$1,444,921 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2019:2022:
  Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
  Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8 Year 9 Year 10
Casualty 2.2% 7.5% 9.7% 11.4% 10.8 % 8.0% 7.1% 6.0% 5.2 % 1.1%
Property catastrophe 10.7% 25.5% 28.8% 9.2% (0.7)% 1.7% 1.2% 0.4% 0.4 % 0.7%
Property excluding property catastrophe 27.2% 38.8% 11.6% 5.3% 1.7 % 1.2% 2.2% 0.2% 0.3 % 0.1%
Marine and aviation 8.7% 25.0% 17.3% 9.1% 2.4 % 6.7% 7.3% 0.5% (0.6)% %
Other specialty 26.4% 35.7% 12.9% 5.5% 3.9 % 2.8% 2.4% 1.7% (0.1)% 0.1%

Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
Casualty2.8 %7.8 %12.4 %11.3 %9.5 %8.2 %7.5 %5.0 %3.8 %4.7 %
Property catastrophe41.7 %27.3 %49.4 %(115.6)%(10.7)%4.1 %1.7 %1.7 %(0.5)%0.1 %
Property excluding property catastrophe27.0 %37.4 %13.2 %5.6 %4.0 %0.6 %2.4 %0.4 %0.1 %2.5 %
Marine and aviation4.5 %28.8 %18.3 %10.9 %8.4 %3.0 %2.4 %0.1 %3.6 %2.9 %
Other specialty29.9 %29.9 %13.1 %6.0 %4.4 %3.3 %1.8 %0.6 %0.8 %1.3 %
Mortgage Segment
The Company’s mortgage segment includes (1) directU.S. primary mortgage insurance in the(2) U.S., (2) direct credit risk transfer and other, and (3) international mortgage insurance in Europe, (3) global mortgage reinsurance and (4) participation in various GSE credit risk-sharing products, with thereinsurance. The latter threetwo categories along with second lien and student loan exposures are excluded on the basis of insignificance for the purposes of presenting disclosures related to short duration contracts.
For directprimary mortgage insurance business, the Company establishes case reserves for loans that have been reported as delinquent by loan servicers as well as those that are delinquent but not reported (IBNR reserves). The Company’s U.S. mortgage insurance operationsCompany also reservereserves for the expenses of adjusting claims related to these delinquencies. The trigger that creates a case reserve estimate is that an insured loan is reported to us as being two payments in arrears. The actuarial reviews and documentation created in the reserving process are completed in accordance with generally accepted actuarial standards.
The selected assumptions reflect the actuary’sactuarial judgment based on the analysis of historical data and experience combined with information concerning current underwriting, economic, judicial, regulatory and other influences on ultimate claim settlements.
Because the reserving process requires the Company to forecast future conditions, it is inherently uncertain and requires significant judgment and estimation. The use of different estimates would result in the establishment of different reserve levels. Additionally, changes in estimates are likely to occur from period to period as economic conditions change, and the ultimate liability may vary significantly from the estimates used. Major risk factors include (but are not limited to) changes in home prices and borrower equity, which can limit the borrower’s ability to sell the property and satisfy the outstanding loan balance, and changes in unemployment, which can affect the borrower’s income and ability to make mortgage payments. The unique nature of the COVID-19 pandemic, with no historical

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
precedent, adds further uncertainty to current reserve estimates.
The lead actuarial methodology used by the Company is a frequency-severity method based on the inventory of pending delinquencies. Each month the loan servicers report the delinquency status of each insured loan. Using the frequency-severity method allows the Company to take advantage of its knowledge of the number of delinquent loans and the coverage
provided (“risk size”) on those loans by directly relating the reserves to these amounts. The delinquencies are grouped into homogeneous cohorts for analysis, reflecting product type andthe age of delinquency. A claim rate is then developed for each cohort which represents the frequency with which the delinquencies become claims. The claim frequency rates are based on an analysis of the patterns of emerging cure counts and claim counts, the foreclosure status of the pending delinquencies, the product and geographical mix of the delinquencies and our view of future economic and claim conditions, which include trends in home prices and unemployment. Claim rates can vary materially by age of delinquency, depending on the mix of delinquencies and economic conditions.
Claim size severity estimates are determined by examining the risk sizes on the delinquent loans and estimating the portion of risk that will be paid, as well as any expenses. This is done based on a review of historical development patterns, an assessment of economic conditions and the level of equity the borrowers may have in their homes, as well as considering economic conditions and loss mitigation opportunities. Mortgage insurance is generally not subject to large claim sizes, as with some other lines of insurance. A claim size over $250,000 is rare, and this helps reduce the volatility of claim size estimates.
The claim rate and claim size assumptions generate case reserves for the population of reported delinquencies. The reserve for unreported delinquencies (included in IBNR reserves) is estimated by looking at historical patterns of reporting. Claim rates and claim sizes can then be assigned to estimated unreported delinquencies using assumptions made in the establishment of case reserves.
Mortgage insurance Loss Reserves are short-tail, in the sense that the vast majority of delinquencies are resolved within two years of being reported. Due to the forbearances and foreclosure moratoriums associated with COVID-19, settlement timelines have been extended. While reserves are initially analyzed by reserve cohort, as described above, they are also rolled up by underwriting year to ensure that reserve assumptions are consistent with the performance of the underwriting year. The accuracy of prior reserve assumptions is also checked in hindsight to determine if adjustments to the assumptions are needed.
Loss Reserves for the Company’s mortgage reinsurance business and GSE credit-riskcredit risk sharing transactions are comprised of case reserves and IBNR reserves. The Company’s


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



mortgage reinsurance operations receive reports of delinquent loans and claims notices from ceding companies and record case reserves based upon the amount of reserves recommended
by the ceding company. In addition, specific claim and delinquency information reported by ceding companies is used in the process of estimating IBNR reserves.
The tables below include the acquired business
ARCH CAPITAL1312022 FORM 10-K


Table of ContentsUnited Guaranty Corporation (“UGC”) (including United Guaranty Residential Insurance Company), across all periods presented. Due to the length of time for which claims incurred typically remain outstanding prior to payment and the Company’s formation of the mortgage segment in 2014, the Company determined that eight accident years was sufficient for its current disclosures.
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
The following table presents information on the mortgage segment’s short-duration insurance contracts:
Direct mortgage insurance business in the U.S. ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsurance December 31, 2019
    Total of IBNR liabilities plus expected development on reported claims 
Cumulative
number of paid claims
Year ended December 31,    
Accident year 2012
unaudited
 2013
unaudited
 2014
unaudited
 2015
unaudited
 2016
unaudited
 2017
unaudited
 2018
unaudited
 2019  
2012 520,835
 480,592
 475,317
 469,238
 467,296
 459,467
 458,065
 456,286
 46
 15,052
2013   469,311
 419,668
 411,793
 405,809
 395,693
 393,149
 390,987
 38
 9,445
2014     316,095
 297,151
 279,434
 266,027
 265,992
 261,091
 68
 6,250
2015     
 222,790
 197,238
 198,001
 194,677
 189,235
 67
 4,490
2016       
 183,556
 170,532
 148,715
 140,608
 111
 3,334
2017         
 179,376
 132,220
 107,255
 212
 2,241
2018           
 132,318
 96,357
 616
 1,006
2019             
 108,424
 11,315
 87
            
 Total $1,750,243
    
                     
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance    
2012 (106,065) 186,605
 327,605
 395,695
 426,024
 441,577
 448,151
 452,348
    
2013 
 41,447
 203,957
 308,956
 353,189
 373,909
 382,200
 386,853
    
2014   

 20,099
 129,159
 201,925
 233,879
 247,038
 254,175
    
2015     
 16,159
 92,431
 151,222
 171,337
 180,321
    
2016       
 11,462
 72,201
 113,357
 127,286
    
2017         

 8,622
 48,112
 78,650
    
2018           

 3,966
 31,478
    
2019             

 2,899
    
          1,514,010
    
        All outstanding liabilities before 2012, net of reinsurance  19,005
    
      Liabilities for losses and loss adjustment expenses, net of reinsurance  $255,238
    

U.S. primary mortgage insurance ($000’s except claim count)
Incurred losses and allocated loss adjustment expenses, net of reinsuranceDecember 31, 2022
Total of IBNR liabilities plus expected development on reported claimsCumulative
number of paid claims
Year ended December 31,
Accident year2013
unaudited
2014
unaudited
2015
unaudited
2016
unaudited
2017
unaudited
2018
unaudited
2019
unaudited
2020
unaudited
2021
unaudited
2022
2013$469,311 $419,668 $411,793 $405,809 $395,693 $393,149 $390,987 $391,062 $391,324 $390,299 9,474 
2014316,095 297,151 279,434 266,027 265,992 261,091 262,682 262,829 260,554 6,311 
2015222,790 197,238 198,001 194,677 189,235 190,913 190,560 188,649 4,573 
2016183,556 170,532 148,715 140,608 142,392 141,657 137,415 — 3,445 
2017179,376 132,220 107,255 108,181 109,242 102,005 (1)2,516 
2018132,318 96,357 89,120 87,962 71,976 (4)1,718 
2019108,424 119,253 110,362 63,485 74 1,002 
2020420,003 373,533 78,334 476 299 
2021144,375 77,212 379 72 
2022173,327 2,147 
Total$1,543,256 
Cumulative paid losses and allocated loss adjustment expenses, net of reinsurance
201341,447 203,957 308,956 353,189 373,909 382,200 386,853 387,894 387,879 388,036 
201420,099 129,159 201,925 233,879 247,038 254,175 256,285 256,875 257,232 
201516,159 92,431 151,222 171,337 180,321 183,472 184,025 184,955 
201611,462 72,201 113,357 127,286 131,161 131,717 132,387 
20178,622 48,112 78,650 87,317 89,756 91,645 
20183,966 31,478 50,135 55,853 58,687 
20192,899 20,105 29,102 34,178 
20201,040 4,144 7,740 
2021469 1,687 
2022176 
1,156,723 
All outstanding liabilities before 2013, net of reinsurance10,585 
Liabilities for losses and loss adjustment expenses, net of reinsurance$397,118 
The following table presents the average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance, as of December 31, 2019:2022:
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance
Year 1Year 2Year 3Year 4Year 5Year 6Year 7Year 8Year 9Year 10
U.S. Primary5.6 %30.9 %23.8 %9.8 %4.0 %1.8 %0.7 %0.3 %0.1 %— %
Average annual percentage payout of incurred losses and allocated loss adjustment expenses by age, net of reinsurance    
  Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Year 7 Year 8
U.S. Primary 3.3% 42.3% 29.1% 11.8% 5.4% 2.8% 1.3% 0.9%

Other Segment
Loss Reserves for the ‘other’ segment (
i.e., Watford) are comprised of case reserves, ACRs and IBNR reserves. For all business assumed by Watford, the Company acts as reinsurance underwriting manager, provides actuarial and risk management services and recommends a level of Loss Reserves to Watford. The Company does not guarantee or provide credit support for Watford, and the Company’s financial exposure to Watford is limited to its investment in Watford’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. The estimation of Loss Reserves for Watford is subject to the same risk factors as the estimation of Loss Reserves for the Company’s insurance, reinsurance and mortgage segments as described earlier.
Watford performs its own reserve reviews and sets its reserves independently. As noted previously, the Company determined that amounts in the ‘other’ segment are insignificant for the purposes of these footnote disclosures.
For the year ended December 31, 2019, the Company did not make any significant changes in its methodologies or assumptions as described above (a) to determine the presented amounts of IBNR reserves, (b) for expected development on case reserves.
The Company measures claim frequency information on an individual claim count basis. Claim counts are provided for the insurance and mortgage segments, where reliable information is available. For insurance business, any claim which is reported to the Company is included in the count, even if it is


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



subsequently settled without liability to the Company. The Company does not include claim count information for losses from U.S. insurance pool business where individual loss information is unavailable and impracticable to obtain. For mortgage business, only delinquencies which subsequently become claims are included in the claim count. For reinsurance business, claim counts are not provided. A significant amount of the Company’s reinsurance business is written on a proportional basis, for which individual loss information is typically unavailable and impracticable to obtain.
For the year ended December 31, 2019, the Company did not make any significant changes in its methodologies or assumptions as described above to calculate the cumulative claim frequency.
The following table represents a reconciliation of the disclosures of net incurred and paid loss development tables to the reserve for losses and loss adjustment expenses at December 31, 2019:2022:
 December 31, 2019
Net outstanding liabilities 
Insurance 
Property, energy, marine and aviation$340,714
Third party occurrence business2,264,839
Third party claims-made business1,225,121
Multi-line and other specialty887,227
Reinsurance 
Casualty1,707,696
Property catastrophe113,053
Property excluding property catastrophe458,581
Marine and aviation131,895
Other specialty637,789
Mortgage 
U.S. primary255,238
Other short duration lines not included in disclosures (1)1,514,373
Total for short duration lines9,536,526
  
Unpaid losses and loss adjustment expenses recoverable 
Insurance 
Property, energy, marine and aviation213,004
Third party occurrence business1,105,669
Third party claims-made business728,511
Multi-line and other specialty189,613
Reinsurance 
Casualty532,387
Property catastrophe282,910
Property excluding property catastrophe48,554
Marine and aviation28,893
Other specialty206,022
Mortgage 
U.S. primary21,875
Other short duration lines not included in disclosures (2)1,472,777
Intercompany eliminations(696,931)
Total for short duration lines4,133,284
  
Lines other than short duration55,989
Discounting(22,012)
Unallocated claims adjustment expenses188,055
 222,032
  
Total gross reserves for losses and loss adjustment expenses$13,891,842

December 31, 2022
Net outstanding liabilities
Insurance
Property, energy, marine and aviation$750,461 
Third party occurrence business3,184,995 
Third party claims-made business1,991,302 
Multi-line and other specialty1,215,721 
Reinsurance
Casualty2,323,825 
Property catastrophe535,158 
Property excluding property catastrophe1,010,604 
Marine and aviation289,944 
Other specialty1,444,921 
Mortgage
U.S. primary397,118 
Other short duration lines not included in disclosures301,222 
Total for short duration lines13,445,271
(1)Includes net outstanding liabilities of $1.1 billion for the ‘other’ segment.
(2)Includes unpaid lossUnpaid losses and loss adjustment expenses recoverable related to the acquisition of Barbican
Insurance
Property, energy, marine and $319.3 million related to theaviation423,740 
Third party occurrence business1,761,871 
Third party claims-made business995,921 
Multi-line and other specialty173,051 
Reinsurance
Casualty684,663 
Property catastrophe595,740 
Property excluding property catastrophe206,867 
Marine and aviation186,416 
Other specialty656,130 
Mortgage
U.S. primary37,531 
Other short duration lines not included in disclosures (1)560,642 
Intercompany eliminations(3,747)
Total for short duration lines6,278,825
Lines other than short duration102,283 
Discounting(60,536)
Unallocated claims adjustment expenses266,100 
307,847
Total gross reserves for losses and loss portfolio transfer reinsurance agreement.adjustment expenses$20,031,943
(1)    Includes unpaid loss and loss adjustment expenses recoverable of $280.2 million related to the loss portfolio transfer reinsurance agreements.












7.    Allowance for Expected Credit Losses
ARCH CAPITAL1242019 FORM 10-K
Premiums Receivable
The following table provides a roll forward of the allowance for expected credit losses of the Company’s premium receivables:
Year Ended December 31, 2022Premium Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$2,633,280 $39,958 
Change for provision of expected credit losses (1)(4,556)
Balance at end of period$3,624,777 $35,402 
Year Ended December 31, 2021
Balance at beginning of period$2,064,586 $37,781 
Change for provision of expected credit losses (1)2,177 
Balance at end of period$2,633,280 $39,958 
(1) Amounts deemed uncollectible are written-off in operating expenses. For the 2022 and 2021 periods, amounts written off totaled $11.4 million and $3.8 million, respectively.
Reinsurance Recoverables
The Company monitors the financial condition of its reinsurers and attempts to place coverages only with substantial, financially sound carriers. Although the Company has not experienced any material credit losses to date, an inability of its reinsurers or retrocessionaires to meet their obligations to it over the relevant exposure periods for any reason could have a material adverse effect on its financial condition and results of operations.
The following table provides a roll forward of the allowance for expected credit losses of the Company’s reinsurance recoverables:
Year Ended December 31, 2022Reinsurance Recoverables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$5,880,735 $13,230 
Change for provision of expected credit losses8,314 
Balance at end of period$6,563,654 $21,544 
Year Ended December 31, 2021
Balance at beginning of period$4,500,802 $11,636 
Change for provision of expected credit losses1,594 
Balance at end of period5,880,735 $13,230 


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at December 31, 2022 and 2021:
December 31,
20222021
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$6,563,654$5,880,735
% due from carriers with A.M. Best rating of “A-” or better68.8 %69.7 %
% due from all other rated carriers0.1 %0.1 %
% due from all other carriers with no A.M. Best rating (1)31.1 %30.2 %
Largest balance due from any one carrier as % of total shareholders’ equity9.0 %6.7 %
(1)    At December 31, 2022 and 2021 period, over 95% and 91% of such amount is collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other, respectively.
Contractholder Receivables
7.The following table provides a roll forward of the allowance for expected credit losses of the Company’s contractholder receivables:
Year Ended December 31, 2022Contractholder Receivables, Net of AllowanceAllowance for Expected Credit Losses
Balance at beginning of period$1,828,691 $3,437 
Change for provision of expected credit losses(746)
Balance at end of period$1,731,293 $2,691 
Year Ended December 31, 2021
Balance at beginning of period$1,986,924 $8,638 
Change for provision of expected credit losses(5,201)
Balance at end of period1,828,691 $3,437 

8.    Reinsurance
In the normal course of business, the Company’s insurance subsidiaries cede a portion of their premium through pro rata and excess of loss reinsurance agreements on a treaty or facultative basis.basis to third parties. The Company’s reinsurance subsidiaries participate in “common account” retrocessional arrangements for certain pro rata treaties. Such arrangements reduce the effect of individual or aggregate losses to all companies participating on such treaties, including the reinsurers, such as the Company’s reinsurance subsidiaries, and the ceding company. In addition, the Company’s reinsurance subsidiaries may purchase retrocessional coverage as part of their risk management program. The Company’s mortgage subsidiaries cede a portion of their premium through quota share arrangements and enter into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies. Reinsurance recoverables are recorded as assets, predicated on the reinsurers’ ability to meet their obligations under the reinsurance agreements. If the reinsurers are unable to satisfy their obligations under the agreements, the Company’s insurance or reinsurance subsidiaries would be liable for such defaulted amounts.
The effects of reinsurance on the Company’s written and earned premiums and losses and loss adjustment expenses with unaffiliated reinsurers were as follows:
Year Ended December 31,
202220212020
Premiums Written
Direct$8,540,787 $7,706,832 $6,553,910 
Assumed6,785,660 5,045,655 3,534,158 
Ceded(4,249,258)(3,734,150)(2,650,352)
Net$11,077,189 $9,018,337 $7,437,716 
Premiums Earned
Direct$8,057,635 $7,149,794 $6,361,451 
Assumed5,767,738 4,333,873 3,213,873 
Ceded(4,147,296)(3,401,369)(2,583,389)
Net$9,678,077 $8,082,298 $6,991,935 
Losses and Loss Adjustment Expenses
Direct$3,990,768 $4,266,758 $4,392,392 
Assumed3,559,133 2,826,820 2,204,323 
Ceded(2,522,384)(2,508,775)(1,907,116)
Net$5,027,517 $4,584,803 $4,689,599 
 Year Ended December 31,
 2019 2018 2017
Premiums Written     
Direct$5,681,523
 $4,838,902
 $4,447,457
Assumed2,457,437
 2,122,102
 1,920,968
Ceded(2,099,893) (1,614,257) (1,407,052)
Net$6,039,067
 $5,346,747
 $4,961,373
      
Premiums Earned     
Direct$5,447,829
 $4,799,842
 $4,379,131
Assumed2,337,950
 1,988,038
 1,856,573
Ceded(1,999,281) (1,555,905) (1,391,172)
Net$5,786,498
 $5,231,975
 $4,844,532
      
Losses and Loss Adjustment Expenses     
Direct$2,953,072
 $2,472,133
 $2,568,327
Assumed1,602,528
 1,307,317
 1,442,077
Ceded(1,422,148) (889,344) (1,042,958)
Net$3,133,452
 $2,890,106
 $2,967,446

Reinsurance Recoverables
The Company monitors the financial condition of its reinsurers and attempts to place coverages only with substantial, financially sound carriers. Although the Company has not experienced any material credit losses to date, an inability of its reinsurers or retrocessionaires to meet their obligations to it over the relevant exposure periods for any reason could have a material adverse effect on its financial condition and results of operations.
The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) at December 31, 2019 and 2018:
 December 31,
 2019 2018
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$4,346,816
 $2,919,372
% due from carriers with A.M. Best rating of “A-” or better61.2% 63.0%
% due from unrated fully collateralized reinsurers (1)13.5% 12.9%
% due from all other carriers with no A.M. Best rating (2)25.3% 24.1%
Largest balance due from any one carrier as % of total shareholders’ equity1.7% 2.7%
(1)Such amount is fully collateralized through reinsurance trusts.
(2)Over 90% of such amount is collateralized through reinsurance trusts or letters of credit.


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Bellemeade Re
The Company has entered into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). For the respective coverage periods, the Company will retain the first layer of the respective aggregate losses and the special purpose reinsurance companies will provide second layer coverage up to the outstanding coverage amount. The Company will then retain losses in excess of the outstanding coverage limit. The aggregate excess of loss reinsurance coverage decreases over a ten-yearten-year period as the underlying covered mortgages amortize. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
The following table summarizes the respective coverages and retentions at December 31, 2019:2022:
December 31, 2022
Bellemeade Entities
(Issue Date)
Initial Coverage at IssuanceCurrent
Coverage
Remaining Retention, Net
2017-1 Ltd. (1)$368,114 $36,679 $142,461 
2018-1 Ltd. (2)374,460 89,698 143,592 
2018-3 Ltd. (3)506,110 199,237 152,861 
2019-1 Ltd. (4)341,790 107,880 118,908 
2019-2 Ltd. (5)621,022 325,462 191,550 
2019-3 Ltd. (6)700,920 222,977 208,931 
2019-4 Ltd. (7)577,267 266,124 142,564 
2020-2 Ltd. (8)449,167 105,110 237,709 
2020-3 Ltd. (9)451,816 250,971 161,544 
2020-4 Ltd. (10)337,013 101,729 138,131 
2021-1 Ltd. (11)643,577 503,267 153,525 
2021-2 Ltd. (12)616,017 535,461 138,524 
2021-3 Ltd. (13)639,391 616,959 132,492 
2022-1 Ltd. (14)316,760 316,760 143,577 
2022-2 Ltd. (15)327,165 327,165 217,436 
Total$7,270,589 $4,005,479 $2,423,805 
 Initial Coverage at Issuance Coverage at Dec. 31, 2019 First Layer Retention
Bellemeade 2017-1 Ltd. (1)368,114
 216,429
 165,652
Bellemeade 2018-1 Ltd. (2)374,460
 328,482
 168,510
Bellemeade 2018-2 Ltd. (3)653,278
 437,009
 352,258
Bellemeade 2018-3 Ltd. (4)506,110
 426,806
 179,331
Bellemeade 2019-1 Ltd. (5)341,790
 257,358
 208,046
Bellemeade 2019-2 Ltd. (6)621,022
 525,959
 221,794
Bellemeade 2019-3 Ltd. (7)700,920
 656,523
 232,093
Bellemeade 2019-4 Ltd. (8)577,267
 577,267
 162,357
Total$4,142,961
 $3,425,833
 $1,690,041

(1)    Issued in October 2017, covering in-force policies issued between January 1, 2017 and June 30, 2017.
(2)    Issued in April 2018, covering in-force policies issued between July 1, 2017 and December 31, 2017.
(3)    Issued in October 2018, covering in-force policies issued between January 1, 2018 and June 30, 2018.
(4)    Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(5)    Issued in April 2019, covering in-force policies issued between July 1, 2018 and December 31, 2018.
(6)    Issued in July 2019, covering in-force policies issued in 2016.
(7)    Issued in October 2019, covering in-force policies issued between January 1, 2019 and June 30, 2019.
(8)    Issued in September 2020, covering in-force policies issued between January 1, 2020 and May 31, 2020. $423 million was directly funded by Bellemeade 2020-2 Ltd. with an additional $26 million of capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(9)    Issued in November 2020, covering in-force policies issued between June 1, 2020 and August 31, 2020. $418 million was directly funded by Bellemeade 2020-3 Ltd. with an additional $34 million of capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(10)    Issued in December 2020, covering in-force policies issued between July 1, 2019 and December 31, 2019. $321 million was directly funded by Bellemeade 2020-4 Ltd. with an additional $16 million of capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(11) Issued in March 2021, covering in-force policies issued between September 1, 2020 and November 30, 2020. $580 million was directly funded by Bellemeade Re 2021-1 Ltd. with an additional $64 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(12) Issued in June 2021, covering in-force policies issued between December 1, 2020 and March 31, 2021. $523 million was directly funded by Bellemeade Re 2021-2 Ltd. via insurance-linked notes, with an additional $93 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(13) Issued in September 2021, covering in-force policies issued between April 1, 2021 and June 30, 2021. $508 million was directly funded by Bellemeade Re 2021-3 Ltd. via insurance-linked notes, with an additional $131 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(14) Issued in January 2022, covering in-force policies issued between July 1, 2021 and November 30, 2021. $284 million was directly funded by Bellemeade Re 2022-1 Ltd. via insurance-linked notes, with an additional $33 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.
(15) Issued in September 2022, covering in-force policies issued between November 1, 2021 and June 30, 2022. $201 million was directly funded by Bellemeade Re 2022-2 Ltd. via insurance-linked notes, with an additional $126 million capacity provided directly to Arch MI U.S. by a separate panel of reinsurers.

(1)Issued in October 2017, covering in-force policies issued between January 1, 2017 and June 30, 2017.
(2)Issued in April 2018, covering in-force policies issued between July 1, 2017 and December 31, 2017.
(3)Issued in August 2018, covering in-force policies issued between April 1, 2013 and December 31, 2015.
(4)Issued in October 2018, covering in-force policies issued between January 1, 2018 and June 30, 2018.
(5)Issued in March 2019, covering in-force policies primarily issued between 2005 to 2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(6)Issued in April 2019, covering in-force policies issued between July 1, 2018 and December 31, 2018.
(7)Issued in July 2019, covering in-force policies issued in 2016.
(8)Issued in October 2019, covering in-force policies issued between January 1, 2019 and June 30, 2019.


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



8.9.    Investment Information
At December 31, 2019, total investable assets of $24.99 billion included $22.29 billion held by the Company and $2.70 billion attributable to Watford.
Available For Sale Investments
The following table summarizes the fair value and cost or amortized cost of the Company’s securities classified as available for sale:
Estimated
Fair
Value
Gross Unrealized GainsGross Unrealized LossesAllowance for Expected Credit LossesCost or
Amortized
Cost
December 31, 2022
Fixed maturities:
Corporate bonds$8,020,128 $55,468 $(781,353)$(29,950)$8,775,963 
Mortgage backed securities795,391 4,933 (86,587)877,043 
Municipal bonds419,166 3,149 (33,360)(100)449,477 
Commercial mortgage backed securities1,047,275 608 (57,667)(3,415)1,107,749 
U.S. government and government agencies5,161,193 14,891 (342,963)— 5,489,265 
Non-U.S. government securities2,312,819 8,870 (237,846)(1,882)2,543,677 
Asset backed securities1,926,817 761 (106,623)(6,010)2,038,689 
Total19,682,789 88,680 (1,646,399)(41,355)21,281,863 
Short-term investments1,331,662 554 (1,888)— 1,332,996 
Total$21,014,451 $89,234 $(1,648,287)$(41,355)$22,614,859 
December 31, 2021
Fixed maturities:
Corporate bonds$6,553,333 $104,170 $(69,194)$(2,037)$6,520,394 
Mortgage backed securities408,477 2,825 (5,410)(48)411,110 
Municipal bonds404,666 18,724 (1,409)(2)387,353 
Commercial mortgage backed securities1,046,484 1,740 (3,117)(6)1,047,867 
U.S. government and government agencies4,772,764 10,076 (45,967)— 4,808,655 
Non-U.S. government securities2,120,294 54,048 (34,749)(82)2,101,077 
Asset backed securities2,692,091 6,540 (11,108)(708)2,697,367 
Total17,998,109 198,123 (170,954)(2,883)17,973,823 
Short-term investments1,734,716 568 (590)— 1,734,738 
Total$19,732,825 $198,691 $(171,544)$(2,883)$19,708,561 
 
Estimated
Fair
Value
 Gross Unrealized Gains Gross Unrealized Losses 
Cost or Amortized
Cost
 OTTI Unrealized Losses (2)
December 31, 2019         
Fixed maturities (1):         
Corporate bonds$6,406,591
 $191,889
 $(12,793) $6,227,495
 $
Mortgage backed securities562,309
 9,669
 (931) 553,571
 (6)
Municipal bonds881,926
 24,628
 (2,213) 859,511
 
Commercial mortgage backed securities733,108
 14,951
 (2,330) 720,487
 
U.S. government and government agencies4,916,592
 36,600
 (10,134) 4,890,126
 
Non-U.S. government securities2,078,757
 48,549
 (20,330) 2,050,538
 
Asset backed securities1,683,753
 24,017
 (4,724) 1,664,460
 
Total17,263,036
 350,303
 (53,455) 16,966,188
 (6)
Short-term investments956,546
 811
 (1,548) 957,283
 
Total$18,219,582
 $351,114
 $(55,003) $17,923,471
 $(6)
          
December 31, 2018         
Fixed maturities (1):         
Corporate bonds$5,537,548
 $14,476
 $(105,428) $5,628,500
 $(69)
Mortgage backed securities541,193
 3,991
 (3,216) 540,418
 (6)
Municipal bonds1,013,395
 5,380
 (11,891) 1,019,906
 
Commercial mortgage backed securities729,442
 2,650
 (10,751) 737,543
 
U.S. government and government agencies3,758,698
 27,189
 (8,474) 3,739,983
 
Non-U.S. government securities1,771,338
 14,477
 (50,948) 1,807,809
 
Asset backed securities1,600,896
 8,060
 (14,798) 1,607,634
 
Total14,952,510
 76,223
 (205,506) 15,081,793
 (75)
Short-term investments955,880
 36
 (394) 956,238
 
Total$15,908,390
 $76,259
 $(205,900) $16,038,031
 $(75)


(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See “—Securities Lending Agreements.”
(2)Represents the total OTTI recognized in accumulated other comprehensive income (“AOCI”). It does not include the change in fair value subsequent to the impairment measurement date. At December 31, 2019 and 2018, the net unrealized gain related to securities for which a non-credit OTTI was recognized in AOCI was NaN.




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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following table summarizes, for all available for sale securities in an unrealized loss position, the fair value and gross unrealized loss by length of time the security has been in a continual unrealized loss position:
 Less than 12 Months 12 Months or More Total
 
Estimated Fair
Value
 Gross Unrealized Losses 
Estimated Fair
Value
 Gross Unrealized Losses 
Estimated Fair
Value
 Gross Unrealized Losses
December 31, 2019           
Fixed maturities (1):           
Corporate bonds$675,131
 $(12,350) $37,671
 $(443) $712,802
 $(12,793)
Mortgage backed securities102,887
 (927) 203
 (4) 103,090
 (931)
Municipal bonds220,296
 (2,213) 
 
 220,296
 (2,213)
Commercial mortgage backed securities147,290
 (2,302) 2,683
 (28) 149,973
 (2,330)
U.S. government and government agencies1,373,127
 (10,089) 32,058
 (45) 1,405,185
 (10,134)
Non-U.S. government securities1,224,243
 (20,163) 37,610
 (167) 1,261,853
 (20,330)
Asset backed securities441,522
 (3,334) 48,313
 (1,390) 489,835
 (4,724)
Total4,184,496
 (51,378) 158,538
 (2,077) 4,343,034
 (53,455)
Short-term investments95,777
 (1,548) 
 
 95,777
 (1,548)
Total$4,280,273
 $(52,926) $158,538
 $(2,077) $4,438,811
 $(55,003)
            
December 31, 2018           
Fixed maturities (1):           
Corporate bonds$2,983,195
 $(68,910) $1,234,865
 $(36,518) $4,218,060
 $(105,428)
Mortgage backed securities84,296
 (695) 109,009
 (2,521) 193,305
 (3,216)
Municipal bonds233,081
 (2,074) 408,155
 (9,817) 641,236
 (11,891)
Commercial mortgage backed securities223,341
 (2,831) 193,956
 (7,920) 417,297
 (10,751)
U.S. government and government agencies635,049
 (1,354) 391,102
 (7,120) 1,026,151
 (8,474)
Non-U.S. government securities1,028,340
 (35,524) 389,671
 (15,424) 1,418,011
 (50,948)
Asset backed securities533,592
 (8,832) 368,095
 (5,966) 901,687
 (14,798)
Total5,720,894
 (120,220) 3,094,853
 (85,286) 8,815,747
 (205,506)
Short-term investments122,878
 (394) 
 
 122,878
 (394)
Total$5,843,772
 $(120,614) $3,094,853
 $(85,286) $8,938,625
 $(205,900)
(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received and reinvested and included the fixed maturities pledged. See “—Securities Lending Agreements.”

Less than 12 Months12 Months or MoreTotal
Estimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized LossesEstimated Fair
Value
Gross Unrealized Losses
December 31, 2022
Fixed maturities:
Corporate bonds$4,822,624 $(393,112)$2,559,399 $(388,241)$7,382,023 $(781,353)
Mortgage backed securities545,844 (51,673)154,154 (34,914)699,998 (86,587)
Municipal bonds363,936 (29,924)16,282 (3,436)380,218 (33,360)
Commercial mortgage backed securities598,392 (34,899)445,175 (22,768)1,043,567 (57,667)
U.S. government and government agencies3,556,676 (197,259)1,442,542 (145,704)4,999,218 (342,963)
Non-U.S. government securities1,702,973 (153,587)541,652 (84,259)2,244,625 (237,846)
Asset backed securities1,148,220 (65,189)512,376 (41,434)1,660,596 (106,623)
Total12,738,665 (925,643)5,671,580 (720,756)18,410,245 (1,646,399)
Short-term investments236,735 (1,888)— — 236,735 (1,888)
Total$12,975,400 $(927,531)$5,671,580 $(720,756)$18,646,980 $(1,648,287)
December 31, 2021
Fixed maturities:
Corporate bonds$3,639,582 $(63,938)$98,867 $(5,256)$3,738,449 $(69,194)
Mortgage backed securities222,176 (3,545)46,809 (1,865)268,985 (5,410)
Municipal bonds26,665 (385)16,361 (1,024)43,026 (1,409)
Commercial mortgage backed securities675,603 (2,805)5,908 (312)681,511 (3,117)
U.S. government and government agencies4,211,621 (44,180)33,373 (1,787)4,244,994 (45,967)
Non-U.S. government securities1,511,301 (31,983)62,957 (2,766)1,574,258 (34,749)
Asset backed securities1,667,002 (9,853)33,082 (1,255)1,700,084 (11,108)
Total11,953,950 (156,689)297,357 (14,265)12,251,307 (170,954)
Short-term investments284,733 (590)— — 284,733 (590)
Total$12,238,683 $(157,279)$297,357 $(14,265)$12,536,040 $(171,544)
At December 31, 2019,2022, on a lot level basis, approximately 2,2309,810 security lots out of a total of approximately 9,59012,590 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $0.9$7.2 million. The Company believes that such securities were temporarily impaired at December 31, 2019.2022. At December 31, 2018,2021, on a lot level basis, approximately 5,8704,700 security lots out of a total of approximately 8,45010,240 security lots were in an unrealized loss position and the largest single unrealized loss from a single lot in the Company’s fixed maturity portfolio was $2.6$1.1 million.


ARCH CAPITAL12813720192022 FORM 10-K


Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The contractual maturities of the Company’s fixed maturities and fixed maturities pledged under securities lending agreements are shown in the following table. Expected maturities, which are management’s best estimates, will differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.
December 31, 2022December 31, 2021
MaturityEstimated Fair ValueAmortized CostEstimated Fair ValueAmortized Cost
Due in one year or less$510,669 $536,962 $300,889 $299,772 
Due after one year through five years11,014,753 11,714,427 8,355,255 8,339,387 
Due after five years through 10 years3,984,497 4,527,447 4,689,155 4,684,393 
Due after 10 years403,387 479,546 505,758 493,927 
15,913,306 17,258,382 13,851,057 13,817,479 
Mortgage backed securities795,391 877,043 408,477 411,110 
Commercial mortgage backed securities1,047,275 1,107,749 1,046,484 1,047,867 
Asset backed securities1,926,817 2,038,689 2,692,091 2,697,367 
Total$19,682,789 $21,281,863 $17,998,109 $17,973,823 
  December 31, 2019 December 31, 2018
Maturity Estimated Fair Value Amortized Cost Estimated Fair Value Amortized Cost
Due in one year or less $428,659
 $423,617
 $276,682
 $279,135
Due after one year through five years 10,126,403
 9,996,206
 8,666,297
 8,738,944
Due after five years through 10 years 3,317,535
 3,219,567
 2,919,232
 2,951,582
Due after 10 years 411,269
 388,280
 218,768
 226,537
  14,283,866
 14,027,670
 12,080,979
 12,196,198
Mortgage backed securities 562,309
 553,571
 541,193
 540,418
Commercial mortgage backed securities 733,108
 720,487
 729,442
 737,543
Asset backed securities 1,683,753
 1,664,460
 1,600,896
 1,607,634
Total (1) $17,263,036
 $16,966,188
 $14,952,510
 $15,081,793

Equity Securities, at Fair Value
At December 31, 2022, the Company held $860.0 million of equity securities, at fair value, compared to $1.8 billion at December 31, 2021.
Net Investment Income
The components of net investment income were derived from the following sources:
Year Ended December 31,
202220212020
Fixed maturities$468,659 $330,061 $412,481 
Term loans2,038 34,843 84,149 
Equity securities22,497 42,396 28,958 
Short-term investments29,519 6,928 10,840 
Other (1)44,609 62,895 72,395 
Gross investment income567,322 477,123 608,823 
Investment expenses(70,775)(88,005)(89,215)
Net investment income$496,547 $389,118 $519,608 
(1)    Includes income distributions from investment funds and other items

Net Realized Gains (Losses)

Net realized gains (losses) were as follows:
Year Ended December 31,
202220212020
Available for sale securities:
Gross gains on investment sales$81,161 $313,886 $595,941 
Gross losses on investment sales(317,150)(156,791)(117,282)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities(70,951)7,953 15,881 
Other investments(19,498)116,781 13,656 
Equity securities(4,520)13,028 14,629 
Short-term investments(3,012)601 2,279 
Equity securities, at fair value :
Net realized gains (losses) on securities sold74,922 122,606 26,849 
Net unrealized gains (losses) on equity securities still held at reporting date(267,927)48,746 102,394 
Allowance for credit losses:
Investments related(43,909)(2,100)(3,597)
Underwriting related(13,274)1,062 (10,007)
Net impairment losses— — (533)
Derivative instruments (1)(75,023)(32,390)179,675 
Other (2)(3,553)(53,537)3,575 
Net realized gains (losses)$(662,734)$379,845 $823,460 
(1)    See note 11, Derivative Instruments for information on the Company’s derivative instruments.
(2)    2021 period reflected $33.1 million of losses related to the Company’s
deconsolidation of Somers.


(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the fixed maturities pledged. For purposes of this table, the Company has excluded the collateral received and reinvested and included the fixed maturities pledged. See “—Securities Lending Agreements.”
Securities Lending Agreements
The Company enters into securities lending agreements with financial institutions to enhance investment income whereby it loans certain of its securities to third parties, primarily major brokerage firms, for short periods of time through a lending agent. The Company maintains legal control over the securities it lends, retains the earnings and cash flows associated with the loaned securities and receives a fee from the borrower for the temporary use of the securities. An indemnification agreement with the lending agent protects the Company in the event a borrower becomes insolvent or fails to return any of the securities on loan to the Company.
The Company receives collateral in the form of cash or securities. Cash collateral primarily consists of short-term investments. At December 31, 2019, the fair value of the cash collateral received on securities lending was $81.2 million and the fair value of security collateral received was $307.2 million. At December 31, 2018, the fair value of the cash collateral received on securities lending was $19.0 million and the fair value of security collateral received was $255.1 million. 
The Company’s securities lending transactions were accounted for as secured borrowings with significant investment categories as follows:
  Remaining Contractual Maturity of the Agreements
  Overnight and Continuous Less than 30 Days 30-90 Days 90 Days or More Total
December 31, 2019          
U.S. government and government agencies $240,332
 $
 $115,973
 $
 $356,305
Corporate bonds 2,570
 
 
 
 2,570
Equity securities 29,491
 
 
 
 29,491
Total $272,393
 $
 $115,973
 $
 $388,366
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 10 
Amounts related to securities lending not included in offsetting disclosure in Note 10 $388,366
December 31, 2018          
U.S. government and government agencies $219,276
 $
 $32,583
 $
 $251,859
Corporate bonds 7,129
 
 
 
 7,129
Equity securities 15,137
 
 
 
 15,137
Total $241,542
 $
 $32,583
 $
 $274,125
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 10 
Amounts related to securities lending not included in offsetting disclosure in Note 10 $274,125




ARCH CAPITAL12913820192022 FORM 10-K


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Equity Securities, at Fair Value
At December 31, 2019, the Company held $838.9 million of equity securities, at fair value, compared to $338.9 million at December 31, 2018. Pursuant to applicable accounting guidance, changes in fair value on equity securities are recorded through net income effective January 1, 2018.
Other Investments
The following table summarizes the Company’s other investments which are includedand other investable assets:
December 31,
20222021
Fixed maturities$554,120 $416,698 
Other investments1,043,184 1,432,553 
Short-term investments33,101 97,806 
Equity securities13,792 26,493 
Total other investments$1,644,197 $1,973,550 

The following table summarizes the Company’s other investments, as detailed in investments accounted for using the fair value option,previous table, by strategy:

December 31,

2019
2018
Term loan investments1,326,018

1,282,287
Lending602,841

524,112
Credit related funds123,020

202,123
Energy97,402

117,509
Investment grade fixed income151,594

101,902
Infrastructure61,786

45,371
Private equity49,376

24,383
Real estate17,279

14,252
Total$2,429,316

$2,311,939


December 31,

2022

2021
Lending405,871 536,345 
Investment grade fixed income271,143 147,810 
Term loan investments163,941 484,950 
Private equity123,266 91,126 
Energy22,627 81,692 
Credit related funds56,336 70,278 
Infrastructure— 20,352 
Total$1,043,184 $1,432,553 
Investments Accounted For Using the Equity Method
The following table summarizes the Company’s investments accounted for using the equity method, by strategy:

December 31,

20222021
Credit related funds$1,135,818 $1,022,334 
Private equity916,534 436,042 
Real estate535,238 396,395 
Lending531,339 376,649 
Infrastructure245,246 230,070 
Equities169,156 395,090 
Fixed income130,062 101,890 
Energy110,917 119,141 
Total$3,774,310 $3,077,611 

December 31,

2019 2018
Credit related funds$428,437
 $429,402
Equities293,686
 375,273
Real estate246,851
 232,647
Lending202,690
 125,041
Private equity144,983
 114,019
Infrastructure235,033
 113,748
Energy108,716
 103,661
Total$1,660,396
 $1,493,791
In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the fair value of the underlying securities in the funds). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.
Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method
The Company recorded equity in net income related to investments accounted for using the equity method of $115.9 million for 2022, compared to $366.4 million for 2021 and $146.7 million for 2020. In applying the equity method, investments are initially recorded at cost and are subsequently adjusted based on the Company’s proportionate share of the net income or loss of the funds (which include changes in the market value of the underlying securities in the funds).
A summary of financial information for the Company’s investment funds and operating affiliates accounted for using the equity method is as follows:
December 31,
20222021
Invested assets$74,960,738 $58,508,009 
Total assets88,062,991 69,648,905 
Total liabilities27,553,307 17,944,325 
Net assets$60,509,684 $51,704,580 
 December 31,
 2019 2018
Invested assets$26,383,370
 $28,299,386
Total assets28,039,181
 29,833,681
Total liabilities3,595,695
 3,406,612
Net assets$24,443,486
 $26,427,069
 Year Ended December 31,
 2019 2018 2017
Total revenues$164,669
 $4,565,354
 $3,867,874
Total expenses528,762
 1,135,602
 782,773
Net income (loss)$(364,093) $3,429,752
 $3,085,101

Year Ended December 31,
202220212020
Total revenues$12,305,082 $11,785,949 $5,762,098 
Total expenses5,374,047 3,238,606 1,656,029 
Net income (loss)$6,931,035 $8,547,343 $4,106,069 
Certain of the Company’s other investments and investments accounted for using the equity method are in investment funds for which the Company has the option to redeem at agreed upon values as described in each investment fund’s subscription agreement. Depending on the terms of the various subscription agreements, investments in investment funds may be redeemed daily, monthly, quarterly or on other terms. Two common redemption restrictions which may impact the Company’s ability to redeem these investment funds are gates and lockups. A gate is a suspension of redemptions which may be implemented by the general partner or investment manager of the fund in order to defer, in whole or in part, the redemption request in the event the aggregate amount of redemption requests exceeds a predetermined percentage of the investment fund's net assets which may otherwise hinder the general partner or investment manager's ability to liquidate holdings in an orderly fashion in order to generate the cash necessary to fund extraordinarily large redemption payouts. A lockup period is the initial amount of time an investor is contractually required to hold the security before having the ability to redeem. If the investment funds are eligible to be redeemed, the time to redeem such fund can take weeks or months following the notification.
Fair Value Option
The following table summarizes the Company’s assets which are accounted for using the fair value option:
 December 31,
 2019 2018
Fixed maturities$754,452
 $1,245,562
Other investments2,429,316
 2,311,939
Short-term investments377,014
 322,177
Equity securities102,695
 103,893
Investments accounted for using the fair value option$3,663,477
 $3,983,571



ARCH CAPITAL13013920192022 FORM 10-K


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Limited Partnership Interests
In the normal course of its activities, the Company invests in limited partnerships as part of its overall investment strategy. Such amounts are included in ‘investments accounted for using the equity method’ and ‘investments accounted for using the fair value option.’ The Company determined that these limited partnership interests represented variable interests in the funds because the general partner did not have a significant interest in the funds. The Company’s maximum exposure to loss with respect to these investments is limited to the investment carrying amounts reported in the Company’s consolidated balance sheet and any unfunded commitment.
The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet item:
December 31,
20222021
Investments accounted for using the equity method (1)$3,774,310 $3,077,611 
Investments accounted for using the fair value option (2)130,466 170,595 
Total$3,904,776 $3,248,206 
(1)     Aggregate unfunded commitments were $2.6 billion at December 31, 2022, consistent with $2.6 billion at December 31, 2021.
(2)    Aggregate unfunded commitments were $16.7 million at December 31, 2022, compared to $18.8 million at December 31, 2021.

Investments in Operating Affiliates
Investments in which the Company has significant influence over the operating and financial policies are classified as ‘investments in operating affiliates’ on the Company’s balance sheets and are accounted for under the equity method. Such investments primarily include the Company’s investment in Coface SA (“Coface”), Greysbridge and Premia. Investments in Coface and Premia are generally recorded on a three month lag, while the Company’s investment in Greysbridge is not recorded on a lag.
In 2021, the Company completed the share purchase agreement with Natixis to purchase 29.5% of the common
 December 31,
 2019 2018
Investments accounted for using the equity method (1)$1,660,396
 $1,493,791
Investments accounted for using the fair value option (2)188,283
 162,398
Total$1,848,679
 $1,656,189
(1)Aggregate unfunded commitments were $1.36 billion at December 31, 2019, compared to $1.22 billion at December 31, 2018.
(2)Aggregate unfunded commitments were $41.7 million at December 31, 2019, compared to $117.5 million at December 31, 2018.
Net Investment Income
equity of Coface, a France-based leader in the global trade credit insurance market. The componentsconsideration paid was €9.95 per share, or an aggregate €453 million (approximately $546 million) including related fees. Income (loss) from operating affiliates reflected a one-time gain of net investment income were derived$74.5 million realized from the following sources:acquisition. As a result of equity method accounting rules, approximately $36 million of additional gain was deferred and will generally be recognized over the next five years. As of December 31, 2022, the Company owned approximately 29.9% of the issued shares of Coface, or 30.1% excluding treasury shares, with a carrying value of $562.9 million, compared to $630.5 million at December 31, 2021.
In July 2021, the Company announced the completion of the previously disclosed acquisition of Somers by Greysbridge for a cash purchase price of $35.00 per common share.
 Year Ended December 31,
 2019 2018 2017
Fixed maturities$505,399
 $470,912
 $385,919
Term loans98,949
 87,926
 86,017
Equity securities15,857
 13,154
 11,752
Short-term investments15,820
 18,793
 10,964
Other (1)80,618
 64,942
 68,249
Gross investment income716,643
 655,727
 562,901
Investment expenses(88,905) (92,094) (92,029)
Net investment income$627,738
 $563,633
 $470,872

(1)Includes income distributions from investment funds and other items.

Net Realized Gains (Losses)
NetEffective July 1, 2021, Somers is wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, 30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by Warburg. At December 31, 2022 the Company’s carrying value in Greysbridge was $305.6 million, compared to $375.7 million at December 31, 2021. The Company’s carrying value in Greysbridge at December 31, 2021 reflected aggregate purchase price of $278.9 million along with income (loss) from operating affiliates, which included a one-time gain of $95.7 million recognized from the acquisition. In addition, the ‘net realized gains (losses) were’ line on the Company’s consolidated statements of income included a $33.1 million loss as follows, excludinga result of deconsolidation of Somers in the other-than-temporary impairment provisions:Company’s financial statements following the close of the transaction. See note 12, “Variable Interest Entity and Noncontrolling Interests.”
 Year Ended December 31,
 2019 2018 2017
Available for sale securities:     
Gross gains on investment sales$235,655
 $69,299
 $286,415
Gross losses on investment sales(104,612) (223,123) (203,873)
Change in fair value of assets and liabilities accounted for using the fair value option:     
Fixed maturities41,910
 (90,898) 29,451
Other investments(35,734) (90,778) 51,124
Equity securities15,869
 (5,984) 18,707
Short-term investments3,801
 (461) 272
Equity securities, at fair value (1):     
Net realized gains (losses) on securities sold11,313
 (40,117) 
Net unrealized gains (losses) on equity securities still held at reporting date97,768
 (22,828) 
Derivative instruments (2)119,741
 15,636
 (7,356)
Other (3)(19,348) (16,090) (25,599)
Net realized gains (losses)$366,363
 $(405,344) $149,141

(1)Effective January 1, 2018, changes in fair value on equity securities are recorded through net income.
(2)See Note 10 for information on the Company’s derivative instruments.
(3)Includes the re-measurement of contingent consideration liability amounts.

Equity in Net Income (Loss) of Investments Accounted For Using the Equity Method
The Company recorded equity in net income related to investments accounted for using the equity methodfrom operating affiliates of $123.7$73.9 million for 2019,2022, compared to $45.6income of $264.7 million for 20182021 and $142.3$16.8 million for 2017.
Other-Than-Temporary Impairments
The Company performs quarterly reviews of its available for sale investments in order to determine whether declines in fair value below the amortized cost basis were considered other-than-temporary in accordance with applicable guidance.2020.


ARCH CAPITAL13114020192022 FORM 10-K


Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following table details the net impairment losses recognized in earnings by asset class:
 Year Ended December 31,
 2019 2018 2017
Fixed maturities:     
Mortgage backed securities$(915) $(437) $(1,488)
Corporate bonds(1,256) (1,232) (2,884)
Non-U.S. government securities
 (290) (376)
Asset backed securities(994) (811) 
U.S. government and government agencies
 
 (426)
Municipal bonds
 
 (375)
Total(3,165) (2,770) (5,549)
Short-term investments
 (59) 
Equity securities
 
 (1,422)
Other investments
 
 (167)
Net impairment losses recognized in earnings$(3,165) $(2,829) $(7,138)

A description of the methodology and significant inputs used to measure the amount of net impairment losses recognized in earnings in 2019 is as follows:
Corporate bonds – the Company reviewed the business prospects, credit ratings, estimated loss given default factors, foreign currency impacts and information received from asset managers and rating agenciesAllowance for certain corporate bonds. Impairment losses were primarily from foreign currency impacts;Expected Credit Losses
Mortgage backed and asset backed securities – the Company utilized underlying data provided by asset managers, cash flow projections and additional information from credit agencies in order to determine an expected recovery value for each security.
The Company believes that the OTTI included in accumulated other comprehensive income at December 31, 2019 on the securities which were considered by the Company to be impaired was due to market and sector-related factors (i.e., not credit losses). At December 31, 2019, the Company did not intend to sell these securities, or any other securities which were in an unrealized loss position, and determined that it is more likely than not that the Company will not be required to sell such securities before recovery of their cost basis.
The following table provides a roll forward of the amountallowance for expected credit losses of the Company’s securities classified as available for sale:
Year Ended December 31, 2022Structured Securities (1)Municipal
Bonds
Non-U.S. Government SecuritiesCorporate
Bonds
Total
Balance at beginning of period$802 $$82 $1,997 $2,883 
Additions for current-period provision for expected credit losses14,184 359 1,616 39,477 55,636 
Additions (reductions) for previously recognized expected credit losses(3,184)(261)275 (8,619)(11,789)
Reductions due to disposals(2,379)— (91)(2,905)(5,375)
Balance at end of period$9,423 $100 $1,882 $29,950 $41,355 
Year Ended December 31, 2021
Balance at beginning of period$1,490 $11 $— $896 $2,397 
Additions for current-period provision for expected credit losses602 — 82 2,858 3,542 
Additions (reductions) for previously recognized expected credit losses(847)(9)— (402)(1,258)
Reductions due to disposals (2)(443)— — (1,355)(1,798)
Balance at end of period$802 $$82 $1,997 $2,883 
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed
(2)    Reduction for the 2021 periods primarily related to credit losses recognized in earnings for which a portionthe Company’s deconsolidation of an OTTI was recognized in accumulated other comprehensive income:Somers.
 Year Ended December 31,
 2019 2018 2017
Balance at start of year$637
 $767
 $13,138
Credit loss impairments recognized on securities not previously impaired
 
 31
Credit loss impairments recognized on securities previously impaired
 
 210
Reductions for increases in cash flows expected to be collected that are recognized over the remaining life of the security
 
 
Reductions for securities sold during the period(291) (130) (12,612)
Balance at end of year$346
 $637
 $767

Restricted Assets
The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its underwriting operations. The Company’s subsidiaries maintain assets in trust accounts as collateral for transactions with affiliated companies and also have investments in segregated portfolios primarily to provide collateral or guarantees for letters of credit to third parties
The following table details the value of the Company’s restricted assets:
 December 31,
 2019 2018
Assets used for collateral or guarantees:   
Affiliated transactions$4,526,761
 $4,623,483
Third party agreements2,278,248
 2,181,682
Deposits with U.S. regulatory authorities797,371
 689,114
Deposits with non-U.S. regulatory authorities119,238
 59,624
Total restricted assets$7,721,618
 $7,553,903

December 31,
20222021
Assets used for collateral or guarantees:
Affiliated transactions$4,254,398 $4,223,955 
Third party agreements2,632,892 2,289,631 
Deposits with U.S. regulatory authorities776,342 798,100 
Other (1)1,037,848 938,046 
Total restricted assets$8,701,480 $8,249,732 
In addition, Watford maintains a secured credit facility to provide borrowing capacity for investment purposes(1) Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and a total return swap agreement and maintains assets pledged as collateral for such purposes. The Company does not guarantee or provide credit support for Watford, and the Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions. As of December 31, 2019 and December 31, 2018, Watford held $1.0 billion and $1.3 billion, respectively, in pledged assets to collateralize the credit facility mentioned above.
other restricted assets.


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
December 31,
202220212020
Cash$855,118 $858,668 $906,448 
Restricted cash (included in ‘other assets’)418,210 456,103 384,096 
Cash and restricted cash$1,273,328 $1,314,771 $1,290,544 
 December 31,
 2019 2018 2017
Cash$726,230
 $646,556
 $606,199
Restricted cash (included in ‘other assets’)177,468
 78,087
 121,085
Cash and restricted cash$903,698
 $724,643
 $727,284

ARCH CAPITAL1412022 FORM 10-K
9.

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
10.    Fair Value
Accounting guidance regarding fair value measurements addresses how companies should measure fair value when they are required to use a fair value measure for recognition or disclosure purposes under GAAP and provides a common definition of fair value to be used throughout GAAP. It defines fair value as the price that would be received to sell an asset or paid to transfer a liability in an orderly fashion between market participants at the measurement date. In addition, it establishes a three-level valuation hierarchy for the disclosure of fair value measurements. The valuation hierarchy is based upon the transparency of inputs to the valuation of an asset or liability as of the measurement date. The level in the hierarchy within which a given fair value measurement falls is determined based on the lowest level input that is significant to the measurement (Level 1 being the highest priority and Level 3 being the lowest priority).
The levels in the hierarchy are defined as follows:
Level 1:
Inputs to the valuation methodology are observable inputs that reflect quoted prices (unadjusted) for identical assets or liabilities in active markets
Level 2:Inputs to the valuation methodology include quoted prices for similar assets and liabilities in active markets, and inputs that are observable for the asset or liability, either directly or indirectly, for substantially the full term of the financial instrument
Level 3:Inputs to the valuation methodology are unobservable and significant to the fair value measurement
Following is a description of the valuation methodologies used for securities measured at fair value, as well as the general classification of such securities pursuant to the valuation hierarchy. The Company reviews its securities measured at fair value and discusses the proper classification of such investments with investment advisers and others.
The Company determines the existence of an active market based on its judgment as to whether transactions for the financial
instrument occur in such market with sufficient frequency and volume to provide reliable pricing information. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. The Company uses quoted values and other data provided by nationally recognized independent pricing sources as inputs into its process for determining fair values of its fixed maturity investments. To validate the techniques or models used by pricing sources, the Company's review process includes, but is not limited to: (i) quantitative analysis (e.g.(e.g., comparing the quarterly return for each managed portfolio to its target
benchmark, with significant differences identified and investigated); (ii) a review of the prices obtained in the pricing process and the range of resulting fair values; (iii) initial and ongoing evaluation of methodologies used by outside parties to calculate fair value; (iv) a comparison of the fair value estimates to the Company’s knowledge of the current market; (v) a comparison of the pricing services' fair values to other pricing services' fair values for the same investments; and (vi) periodic back-testing, which includes randomly selecting purchased or sold securities and comparing the executed prices to the fair value estimates from the pricing service. A price source hierarchy was maintained in order to determine which price source would be used (i.e., a price obtained from a pricing service with more seniority in the hierarchy will be used over a less senior one in all cases). The hierarchy prioritizes pricing services based on availability and reliability and assigns the highest priority to index providers. Based on the above review, the Company will challenge any prices for a security or portfolio which are considered not to be representative of fair value.
In certain circumstances, when fair values are unavailable from these independent pricing sources, quotes are obtained directly from broker-dealers who are active in the corresponding markets. Such quotes are subject to the validation procedures noted above. Of the $22.9$23.8 billion of financial assets and liabilities measured at fair value at December 31, 2019,2022, approximately $179.6$12.6 million, or 0.8%0.1%, were priced using non-binding broker-dealer quotes. Of the $20.4$23.8 billion of financial assets and liabilities measured at fair value at December 31, 2018,2021, approximately $217.9$7.7 million, or 1.1%0.0%, were priced using non-binding broker-dealer quotes.
Fixed maturities
The Company uses the market approach valuation technique to estimate the fair value of its fixed maturity securities, when possible. The market approach includes obtaining prices from independent pricing services, such as index providers and pricing vendors, as well as to a lesser extent quotes from broker-dealers. The independent pricing sources obtain market quotations and actual transaction prices for securities that have quoted prices in active markets. Each source has its own proprietary method for determining the fair value of securities that are not actively traded. In general, these methods involve the use of “matrix pricing” in which the independent pricing


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



source uses observable market inputs including, but not limited to, investment yields, credit risks and spreads, benchmarking of like securities, broker-dealer quotes, reported trades and sector groupings to determine a reasonable fair value. The following describes the significant inputs generally used to determine the fair value of the Company’s fixed maturity securities by asset class:

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
U.S. government and government agencies valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The Company determined that all U.S. Treasuries would be classified as Level 1 securities due to observed levels of trading activity, the high number of strongly correlated pricing quotes received on U.S. Treasuries and other factors. The fair values of U.S. government agency securities are generally determined using the spread above the risk-free yield curve. As the yields for the risk-free yield curve and the spreads for these securities are observable market inputs, the fair values of U.S. government agency securities are classified within Level 2.
Corporate bonds valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined using the spread above the risk-free yield curve. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for corporate bonds are observable market inputs, the fair value of these securities are classified within Level 2. During 2019, the Company transferred $25.8 millionA small number of corporate bonds from Level 2 tosecurities are included in Level 3 based on a reviewdue to the lack of an available independent price source for such securities. As the pricingsignificant inputs used to price these securities are unobservable, the fair value of such securities are classified as described above.Level 3.
Mortgage-backed securities valuations provided by independent pricing services, substantially all through pricing vendors and index providers with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the expected average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. The pricing services also review prepayment speeds and other indicators, when applicable. As the significant inputs used in the pricing process for mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.
Municipal bonds Municipal bonds — valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally determined using spreads obtained from broker-dealers who trade in the relevant security market, trade prices and the new issue market. As the significant inputs used in the pricing process for municipal bonds are observable market
inputs, the fair value of these securities are classified within Level 2.

Commercial mortgage-backed securities valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for commercial mortgage-backed securities are observable market inputs, the fair value of these securities are classified within Level 2.
Non-U.S. government securities valuations provided by independent pricing services, with all prices provided through index providers and pricing vendors. The fair values of these securities are generally based on international indices or valuation models which include daily observed yield curves, cross-currency basis index spreads and country credit spreads. As the significant inputs used in the pricing process for non-U.S. government securities are observable market inputs, the fair value of these securities are classified within Level 2.
Asset-backed securities valuations provided by independent pricing services, substantially all through index providers and pricing vendors with a small amount through broker-dealers. The fair values of these securities are generally determined through the use of pricing models (including Option Adjusted Spread) which use spreads to determine the appropriate average life of the securities. These spreads are generally obtained from the new issue market, secondary trading and from broker-dealers who trade in the relevant security market. As the significant inputs used in the pricing process for asset-backed securities are observable market inputs, the fair value of these securities are classified within Level 2. A small number of securities are included in Level 3 due to a low level of transparency on the inputs used in the pricing process.
Equity securities
The Company determined that exchange-traded equity securities would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other equity securities are included in Level 2 of the valuation hierarchy. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. As the significant inputs used to price these securities are unobservable, the fair value of such securities are classified as Level 3. During the 2019 second quarter, the Company transferred $107.4 million of equity securities from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Other investments
The Company determined that exchange-traded investments would be included in Level 1 as their fair values are based on quoted market prices in active markets. Other investments also include term loan investments for which fair values are estimated by using quoted prices of term loan investments with similar characteristics, pricing models or matrix pricing. Such investments are generally classified within Level 2. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. During 2019, the Company transferred $31.6 million of other investments from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.
Derivative instruments
The Company’s futures contracts, foreign currency forward contracts, interest rate swaps and other derivatives trade in the over-the-counter derivative market. The Company uses the market approach valuation technique to estimate the fair value for these derivatives based on significant observable market inputs from third party pricing vendors, non-binding broker-dealer quotes and/or recent trading activity. As the significant inputs used in the pricing process for these derivative instruments are observable market inputs, the fair value of these securities are classified within Level 2.
Short-term investments
The Company determined that certain of its short-term investments held in highly liquid money market-type funds, Treasury bills and commercial paper would be included in Level 1 as their fair values are based on quoted market prices in active markets. The fair values of other short-term investments are generally determined using the spread above the risk-free yield curve and are classified within Level 2.
Contingent consideration liabilities
Contingent consideration liabilities
Residential mortgage loans
The Company’s residential mortgage loans (included in ‘other liabilities’assets’ in the consolidated balance sheets) include amounts related to the Company’s 2014 acquisitionwhole mortgage loan purchase and sell program. Fair values of CMG Mortgage Insurance Companyresidential mortgage loans are generally determined based on market prices. As significant inputs used in pricing process for these residential mortgage loans are observable market inputs, the fair value of these securities are classified within Level 2.
Other liabilities
The Company’s other liabilities include contingent and its affiliated mortgage insurance companies (the “CMG Entities”) and otherdeferred consideration liabilities related to the Company’s acquisitions. Such amountsContingent consideration liabilities are remeasured at fair value at each balance sheet date with changes in fair value recognized in ‘net realized gains (losses). To determine the fair value of contingent consideration liabilities, the Company estimates the future payments using an income approach based on modeled inputs which include a weighted average cost of capital. Deferred consideration liabilities are measured at fair value on the transaction date. The Company determined that contingent and deferred consideration liabilities would be included within Level 3.




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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2019:2022:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$8,020,128 $— $7,898,901 $121,227 
Mortgage backed securities795,391 — 795,391 — 
Municipal bonds419,166 — 419,166 — 
Commercial mortgage backed securities1,047,275 — 1,047,275 — 
U.S. government and government agencies5,161,193 5,144,467 16,726 — 
Non-U.S. government securities2,312,819 — 2,312,819 — 
Asset backed securities1,926,817 — 1,926,817 — 
Total19,682,789 5,144,467 14,417,095 121,227 
Short-term investments1,331,662 1,197,304 134,358 — 
Equity securities, at fair value859,969 828,513 28,042 3,414 
Derivative instruments (2)148,301 — 148,301 — 
Residential mortgage loans2,283 — 2,283 — 
Fair value option:
Corporate bonds542,755 — 542,755 — 
Non-U.S. government bonds4,315 — 4,315 — 
Asset backed securities1,652 — 1,652 — 
U.S. government and government agencies5,398 5,398 — — 
Short-term investments33,101 699 32,402 — 
Equity securities13,792 9,619 — 4,173 
Other investments196,215 — 162,956 33,259 
Other investments measured at net asset value (1)846,969 
Total1,644,197 15,716 744,080 37,432 
Total assets measured at fair value$23,669,201 $7,186,000 $15,474,159 $162,073 
Liabilities measured at fair value:
Contingent consideration liabilities$(14,246)$— $— $(14,246)
Derivative instruments (2)(75,961)— (75,961)— 
Total liabilities measured at fair value$(90,207)$— $(75,961)$(14,246)
   Fair Value Measurement Using:
 
Estimated
Fair Value
 
Quoted Prices in Active Markets for Identical Assets
(Level 1)
 
Significant Other Observable Inputs
(Level 2)
 
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value (1):       
Available for sale securities:       
Fixed maturities:       
Corporate bonds$6,406,591
 $
 $6,397,740
 $8,851
Mortgage backed securities562,309
 
 562,055
 254
Municipal bonds881,926
 
 881,926
 
Commercial mortgage backed securities733,108
 
 733,108
 
U.S. government and government agencies4,916,592
 4,805,581
 111,011
 
Non-U.S. government securities2,078,757
 
 2,078,757
 
Asset backed securities1,683,753
 
 1,678,791
 4,962
Total17,263,036
 4,805,581
 12,443,388
 14,067
        
Short-term investments956,546
 904,804
 51,742
 
        
Equity securities, at fair value850,283
 789,596
 4,798
 55,889
        
Derivative instruments (4)48,946
 
 48,946
 
        
Fair value option:       
Corporate bonds488,402
 
 487,470
 932
Non-U.S. government bonds50,465
 
 50,465
 
Mortgage backed securities11,947
 
 11,947
 
Municipal bonds377
 
 377
 
Commercial mortgage backed securities1,134
 
 1,134
 
Asset backed securities200,163
 
 200,163
 
U.S. government and government agencies1,962
 1,852
 110
 
Short-term investments377,014
 333,320
 43,694
 
Equity securities102,697
 43,962
 641
 58,094
Other investments1,418,273
 53,287
 1,296,169
 68,817
Other investments measured at net asset value (2)1,011,043
      
Total3,663,477
 432,421
 2,092,170
 127,843
        
Total assets measured at fair value$22,782,288
 $6,932,402
 $14,641,044
 $197,799
        
Liabilities measured at fair value:       
Contingent consideration liabilities$(7,998) $
 $
 $(7,998)
Securities sold but not yet purchased (3)(66,257) 
 (66,257) 
Derivative instruments (4)(39,750) 
 (39,750) 
Total liabilities measured at fair value$(114,005) $
 $(106,007) $(7,998)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(2)    See note 11, “Derivative Instruments.


(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 8.
(2)In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)See Note 10.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2018:2021:
Fair Value Measurement Using:
Estimated
Fair Value
Quoted Prices in Active Markets for Identical Assets
(Level 1)
Significant Other Observable Inputs
(Level 2)
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value:
Available for sale securities:
Fixed maturities:
Corporate bonds$6,553,333 $— $6,553,320 $13 
Mortgage backed securities408,477 — 408,477 — 
Municipal bonds404,666 — 404,666 — 
Commercial mortgage backed securities1,046,484 — 1,046,484 — 
U.S. government and government agencies4,772,764 4,744,517 28,247 — 
Non-U.S. government securities2,120,294 — 2,120,294 — 
Asset backed securities2,692,091 — 2,688,744 3,347 
Total17,998,109 4,744,517 13,250,232 3,360 
Equity securities, at fair value1,804,170 1,762,864 38,388 2,918 
Short-term investments1,734,716 1,052,822 681,894 — 
Derivative instruments (2)127,121 — 127,121 — 
Residential mortgage loans49,847 — 49,847 — 
Fair value option:
Corporate bonds388,546 — 388,546 — 
Non-U.S. government bonds23,785 — 23,785 — 
Asset backed securities4,367 — 4,367 — 
U.S. government and government agencies— — — — 
Short-term investments97,806 528 97,278 — 
Equity securities26,493 21,745 — 4,748 
Other investments310,798 20,352 262,465 27,981 
Other investments measured at net asset value (1)1,121,755 
Total1,973,550 42,625 776,441 32,729 
Total assets measured at fair value$23,687,513 $7,602,828 $14,923,923 $39,007 
Liabilities measured at fair value:
Contingent consideration liabilities$(16,960)$— $— $(16,960)
Derivative instruments (2)(54,224)— (54,224)— 
Total liabilities measured at fair value$(71,184)$— $(54,224)$(16,960)
(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.

   Fair Value Measurement Using:
 
Estimated
Fair Value
 
Quoted Prices in Active Markets for Identical Assets
(Level 1)
 
Significant Other Observable Inputs
(Level 2)
 
Significant Unobservable Inputs
(Level 3)
Assets measured at fair value (1):       
Available for sale securities:       
Fixed maturities:       
Corporate bonds$5,537,548
 $
 $5,529,407
 $8,141
Mortgage backed securities541,193
 
 540,884
 309
Municipal bonds1,013,395
 
 1,013,395
 
Commercial mortgage backed securities729,442
 
 729,438
 4
U.S. government and government agencies3,758,698
 3,657,181
 101,517
 
Non-U.S. government securities1,771,338
 
 1,771,338
 
Asset backed securities1,600,896
 
 1,600,896
 
Total14,952,510
 3,657,181
 11,286,875
 8,454
        
Equity securities353,794
 321,927
 31,867
 
        
Short-term investments955,880
 875,881
 79,999
 
        
Derivative instruments (4)73,893
 
 73,893
 
        
Fair value option:       
Corporate bonds852,585
 
 846,827
 5,758
Non-U.S. government bonds79,066
 
 79,066
 
Mortgage backed securities16,731
 
 16,731
 
Municipal bonds7,144
 
 7,144
 
Commercial mortgage backed securities
 
 
 
Asset backed securities178,790
 
 178,790
 
U.S. government and government agencies111,246
 111,138
 108
 
Short-term investments322,177
 278,579
 43,598
 
Equity securities103,893
 48,827
 55,066
 
Other investments1,254,220
 39,107
 1,152,408
 62,705
Other investments measured at net asset value (2)1,057,719
      
Total3,983,571
 477,651
 2,379,738
 68,463
        
Total assets measured at fair value$20,319,648
 $5,332,640
 $13,852,372
 $76,917
        
Liabilities measured at fair value:       
Contingent consideration liabilities$(66,665) $
 $
 $(66,665)
Securities sold but not yet purchased (3)(7,790) 
 (7,790) 
Derivative instruments (4)(20,664) 
 (20,664) 
Total liabilities measured at fair value$(95,119) $
 $(28,454) $(66,665)
(1)In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See Note 8.
(2)In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)See Note 10.



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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs for 20192022 and 2018:2021:
AssetsLiabilities
Available For SaleFair Value OptionFair Value
Structured Securities (1)Corporate BondsCorporate BondsOther InvestmentsEquity SecuritiesEquity SecuritiesOther
Liabilities
Year Ended December 31, 2022
Balance at beginning of year$3,347 $13 $— $27,981 $4,748 $2,918 $(16,960)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(592)352 — (781)(575)(470)(364)
Included in other comprehensive income(1)(1,095)— — — — 1,170 
Purchases, issuances, sales and settlements
Purchases— 150,013 — 12,381 — 969 — 
Issuances— — — — — — — 
Sales(2,051)(5,363)— (3,339)— (3)— 
Settlements(703)(26,250)— (2,983)— — 1,908 
Transfers in and/or out of Level 3— 3,557 — — — — — 
Balance at end of year$— $121,227 $— $33,259 $4,173 $3,414 $(14,246)
Year Ended December 31, 2021
Balance at beginning of year$3,426 $13 $985 $67,103 $68,988 $42,015 $(461)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(135)— 13 868 4,941 1,958 — 
Included in other comprehensive income133 — — — — — — 
Purchases, issuances, sales and settlements
Purchases— — — 13,213 — 5,718 (16,494)
Issuances— — — — — — — 
Sales (3)— — (998)(53,203)(69,181)(46,773)— 
Settlements(77)— — — — — (5)
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of year$3,347 $13 $— $27,981 $4,748 $2,918 $(16,960)
   AssetsLiabilities
 Available For Sale Fair Value Option Fair Value  
 Structured Securities (1) Corporate Bonds Corporate Bonds Other Investments Equity Securities Equity Securities 
Contingent
Consideration
Liabilities
Year Ended December 31, 2019             
Balance at beginning of year$313
 $8,141
 $5,758
 $62,705
 $
 $
 $(66,665)
Total gains or (losses) (realized/unrealized)             
Included in earnings (2)1,760
 2
 (162) (8,119) 1,949
 (3,418) (1,478)
Included in other comprehensive income3
 (267) 
 
 
 
 
Purchases, issuances, sales and settlements             
Purchases
 881
 
 3,746
 
 36,077
 
Issuances
 
 
 
 
 
 (548)
Sales(1,757) 
 (28,583) (20,495) 
 (27,982) 
Settlements(552) (1,766) 
 (600) 
 
 60,693
Transfers in and/or out of Level 35,449
 1,860
 23,919
 31,580
 56,145
 51,212
 
Balance at end of year$5,216
 $8,851
 $932
 $68,817
 $58,094
 $55,889
 $(7,998)
              
Year Ended December 31, 2018             
Balance at beginning of year$5,927
 $9,460
 $12,217
 $59,167
 $
 $
 $(60,996)
Total gains or (losses) (realized/unrealized)             
Included in earnings (2)4
 (1) (334) (1,416) 
 
 (5,669)
Included in other comprehensive income(11) (296) 
 
 
 
 
Purchases, issuances, sales and settlements          

  
Purchases
 802
 
 6,250
 
 
 
Issuances
 
 
 
 
 
 
Sales(5,003) 
 
 (296) 
 
 
Settlements(604) (1,824) (6,125) (1,000) 
 
 
Transfers in and/or out of Level 3
 
 
 
 
 
 
Balance at end of year$313
 $8,141
 $5,758
 $62,705
 $
 $
 $(66,665)
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)    Gains or losses were included in net realized gains (losses).
(3)     Sales for the 2021 period primarily relates to the Company’s deconsolidation of Somers.

(1)Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)Gains or losses were included in net realized gains (losses).

Financial Instruments Disclosed, But Not Carried, At Fair Value
The Company uses various financial instruments in the normal course of its business. The carrying values of cash, accrued investment income, receivable for securities sold, certain other assets, payable for securities purchased and certain other liabilities approximated their fair values at December 31, 2019,2022, due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.
At December 31, 2019,2022, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.87$2.7 billion and had a fair value of $2.34$2.4 billion. At December 31, 2018,2021, the Company’s senior notes were carried at their cost, net of debt issuance costs, of $1.73$2.7 billion and had a fair value of $1.88$3.3 billion. The fair values of the senior notes were obtained from
from a third party pricing service and are based on observable market inputs. As such, the fair value of the senior notes is classified within Level 2.
Fair Value Measurements on a Non-Recurring Basis
The Company measures the fair value of certain assets on a non-recurring basis, generally quarterly, annually, or when events or changes in circumstances indicate that the carrying amount of the assets may not be recoverable. These assets include investments accounted for using the equity method, certain other investments, goodwill and intangible assets, and long-lived assets. The Company uses a variety of techniques to measure the fair value of these assets when appropriate, as described below:

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not be recoverable, the Company records the assets at fair value with the loss recognized in income. In such cases, the Company measures the fair value of these assets using the techniques discussed above in “—Fair Value Measurements on a Recurring Basis.”
Goodwill and Intangible Assets. The Company tests goodwill and intangible assets annually for impairment whenever events or changes in circumstances indicate the carrying amount may not be recoverable. When the Company determines goodwill and intangible assets may be impaired, the Company uses techniques including discounted expected future cash flows, to measure fair value.
Long-Lived Assets. The Company tests its long-lived assets for impairment whenever events or changes in circumstances indicate the carrying amount of a long-lived asset may not be recoverable.
10.11.    Derivative Instruments
The Company’s investment strategy allows for the use of derivative instruments. The Company’s derivative instruments are recorded on its consolidated balance sheets at fair value. The Company utilizes exchange traded U.S. Treasury note, Eurodollar and other futures contracts and commodity futures to manage portfolio duration or replicate investment positions in its portfolios and the Company routinely utilizes foreign currency forward contracts, currency options, index futures contracts and other derivatives as part of its total return objective. In addition, certain of the Company’s investments are managed in portfolios which incorporate the use of foreign currency forward contracts which are intended to provide an economic hedge against foreign currency movements.
In addition, the Company purchases to-be-announced mortgage backed securities (“TBAs”) as part of its investment strategy. TBAs represent commitments to purchase a future issuance of agency mortgage backed securities. For the period between purchase of a TBA and issuance of the underlying security, the Company’s position is accounted for as a derivative. The Company purchases TBAs in both long and short positions to enhance investment performance and as part of its overall investment strategy.
The following table summarizes information on the fair values and notional values of the Company’s derivative instruments:
Estimated Fair Value
 Asset
Derivatives (1)
Liability Derivatives (1)Notional
Value (2)
December 31, 2022   
Futures contracts$50,629 $(16,963)$3,138,446 
Foreign currency forward contracts38,891 (35,446)1,136,126 
Other58,781 (23,552)3,591,793 
Total$148,301 $(75,961)
December 31, 2021   
Futures contracts$34,999 $(9,808)$2,826,564 
Foreign currency forward contracts7,734 (11,390)915,962 
TBAs11,227 — 11,227 
Other73,161 (33,026)3,736,773 
Total$127,121 $(54,224)
 Estimated Fair Value  
 Asset
Derivatives
 Liability Derivatives 
Notional
Value (1)
December 31, 2019 
  
  
Futures contracts (2)$10,065
 $(13,722) $4,104,559
Foreign currency forward contracts (2)5,352
 (5,327) 686,878
TBAs (3)55,010
 
 53,229
Other (2)33,529
 (20,701) 4,356,300
Total$103,956
 $(39,750)  
      
December 31, 2018 
  
  
Futures contracts (2)$51,800
 $(2,115) $3,153,518
Foreign currency forward contracts (2)8,147
 (7,796) 1,008,907
TBAs (3)8,292
 
 8,132
Other (2)13,946
 (10,753) 2,213,981
Total$82,185
 $(20,664)  

(1)Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(2)The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’ Such amounts include risk in force on GSE credit-risk sharing transactions that are accounted for as derivatives.
(3)The fair value of TBAs are included in ‘fixed maturities available for sale, at fair value.’
(1)    The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
(2)    Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.

The Company did not hold any derivatives which were designated as hedging instruments at December 31, 20192022 or 2018.2021.
The Company’s derivative instruments can be traded under master netting agreements, which establish terms that apply to all derivative transactions with a counterparty. In the event of a bankruptcy or other stipulated event of default, such agreements provide that the non-defaulting party may elect to terminate all outstanding derivative transactions, in which case all individual derivative positions (loss or gain) with a counterparty are closed out and netted and replaced with a single amount, usually referred to as the termination amount, which is expressed in a single currency. The resulting single net amount, where positive, is payable to the party “in-the-money” regardless of whether or not it is the defaulting party, unless the parties have agreed that only the non-defaulting party is entitled to receive a termination payment where the net amount is positive and is in its favor. Effectively, contractual close-out netting reduces the derivatives credit exposure from a gross to a net exposure.
At December 31, 2019, $97.82022, $147.4 million and $37.8$73.2 million, respectively, of asset derivatives and liability derivatives were subject to a master netting agreement compared to $80.4$122.3 million and $18.9$53.9 million, respectively, at December 31, 2018.2021. The remaining derivatives included in the table above were not subject to a master netting agreement.


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included in the table above were not subject to a master netting agreement.
All realizedRealized and unrealized contract gains and losses on the Company’s derivative instruments are reflected in net‘net realized gains (losses) in the consolidated statements of income, as summarized in the following table:
Derivatives not designated as hedging instruments Year Ended December 31,
 2019 2018 2017
Net realized gains (losses):      
Futures contracts $114,123
 $48,443
 $9,318
Foreign currency forward contracts (9,499) (21,770) (14,495)
TBAs 463
 (133) 9
Other 14,654
 (10,904) (2,188)
Total $119,741
 $15,636
 $(7,356)

Derivatives not designated as hedging instrumentsYear Ended December 31,
202220212020
Net realized gains (losses):
Futures contracts$(86,634)$(15,262)$114,987 
Foreign currency forward contracts6,144 (39,755)49,974 
TBAs(51)(233)1,129 
Other5,518 22,860 13,585 
Total$(75,023)$(32,390)$179,675 

12. Variable Interest Entity and Noncontrolling Interests
11. Variable Interest Entity and Noncontrolling Interests

WatfordSomers Holdings Ltd.
In March 2014, Watford raised approximately $1.1 billion of capital consisting of $907.3 million in common equity ($895.6 million net of issuance costs) and $226.6 million in preference equity ($219.2 million net of issuance costs and discount). Thethe Company invested $100.0 million and acquired 2,500,000 common shares andof Somers. Somers was considered a warrant to purchase up to 975,503 additional common shares. The warrants expire on March 31, 2020, and are exercisable at any time. The exercise price of the warrants is determined on the date of exercise based on certain targeted returns for existing common shareholders. Watford’s common shares are listed on the Nasdaq Select Global Market under the ticker symbol “WTRE”. As of December 31, 2019, the Company owns approximately 13% of Watford’s outstanding common equity.
Subsidiaries of the Company act as Watford’s reinsurance and insurance underwriting managers. HPS Investment Partners, LLC (“HPS”) manages Watford’s non-investment grade credit portfolios,VIE and the Company manages Watford’s investment grade portfolios, each under separate long term services agreements. John Rathgeber, previously Vice Chairmanconcluded that it was the primary beneficiary of Somers. In the 2020 fourth quarter, Arch Capital, Somers and Greysbridge, a wholly-owned subsidiary of Arch Worldwide Reinsurance Group,Capital, entered into an Agreement and Plan of Merger (as amended, the “Merger Agreement”). The merger and the related Greysbridge equity financing closed on July 1, 2021. Effective July 1, 2021, Somers is CEO of Watford. In addition, Maamoun Rajehwholly owned by Greysbridge, and Nicolas Papadopoulo, both officers ofGreysbridge is owned 40% by the Company, serve30% by certain investment funds managed by Kelso and 30% by certain investment funds managed by Warburg. Based on the boardgoverning documents of directors of Watford.
TheGreysbridge, the Company concluded that, Watford iswhile it retains significant influence over Somers, Somers no longer constitutes a VIE and thatvariable interest entity. Accordingly, effective July 1, 2021, the Company is the primary beneficiary. The Company includesno longer consolidates the results of WatfordSomers in its consolidated financial statements.statements and footnotes. The Company concluded that Watford should be reflected in a separate operating segment (‘other’) and provides the income
statement and total investable assets, total assets and total liabilities of Watford within Note 4.
Because Watford is an independent company, the assets of Watford can be used only to settle obligations of Watford and Watford is solely responsible for its own liabilities and commitments. The Company’s financial exposure to Watford is limited toclassifies its investment as ‘investments in Watford’s senior notes, common sharesoperating affiliates’ on the Company’s balance sheets and preferred shares and counterparty credit risk (mitigated by collateral) arising fromis accounted for under the reinsurance transactions.
The following table provides the carrying amount and balance sheet caption in which the assets and liabilities of Watford are reported:
 December 31,
 2019
2018
Assets   
Investments accounted for using the fair value option$1,898,091
 $2,312,003
Fixed maturities available for sale, at fair value745,708
 393,351
Equity securities, at fair value65,338
 32,206
Cash102,437
 63,529
Accrued investment income14,025
 19,461
Premiums receivable273,657
 227,301
Reinsurance recoverable on unpaid and paid losses and LAE170,973
 86,445
Ceded unearned premiums132,577
 61,587
Deferred acquisition costs, net64,044
 80,858
Receivable for securities sold16,287
 24,507
Goodwill and intangible assets7,650
 7,650
Other assets60,070
 63,959
Total assets of consolidated VIE$3,550,857
 $3,372,857
    
Liabilities   
Reserves for losses and loss adjustment expenses$1,263,628
 $1,032,760
Unearned premiums438,907
 390,114
Reinsurance balances payable77,066
 21,034
Revolving credit agreement borrowings484,287
 455,682
Senior notes172,418
 
Payable for securities purchased18,180
 60,142
Other liabilities171,714
 302,524
Total liabilities of consolidated VIE$2,626,200
 $2,262,256
    
Redeemable noncontrolling interests$52,305
 $220,992

equity method.
The following table summarizes Watford’sSomers’ cash flow from operating, investing and financing activities.
 Year Ended December 31,
 2019 2018 2017
Total cash provided by (used for):     
Operating activities239,284
 229,315
 286,558
Investing activities(140,620) (285,281) (467,418)
Financing activities(61,433) (2,406) 162,152

Year Ended December 31,
202220212020
Total cash provided by (used for):
Operating activities— 46,991 181,736 
Investing activities— 96,325 258,589 
Financing activities— (2,042)(335,776)


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Non-redeemable noncontrolling interests
The Company accounts for the portion of Watford’s common equity attributable to third party investors in the shareholders’ equity section of its consolidated balance sheets. The noncontrolling ownership in Watford’s senior notes, common shares was approximately 87% at December 31, 2019. The portion of Watford’s income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests.’
The following table sets forth activity in the non-redeemable noncontrolling interests:
 December 31,
 2019
2018
Balance, beginning of year$791,560
 $843,411
Additional paid in capital attributable to non-redeemable noncontrolling interests(2,929) 
Repurchases attributable to non-redeemable noncontrolling interests (1)(75,056) 
Amounts attributable to non-redeemable noncontrolling interests40,072
 (48,507)
Other comprehensive (income) loss attributable to non-redeemable noncontrolling interests9,130
 (3,344)
Balance, end of year$762,777
 $791,560

(1) During 2019, Watford’s board of directors authorized the investment in Watford’s common shares through a share repurchase program.
December 31,
 2022

2021
Balance, beginning of year$— $823,007 
Impact of deconsolidation of Somers— (918,874)
Additional paid in capital attributable to noncontrolling interests— 22,113 
Amounts attributable to noncontrolling interests— 78,314 
Other comprehensive (income) loss attributable to noncontrolling interests— (4,560)
Balance, end of year$— $— 
Redeemable noncontrolling interests
The Company accounts for redeemable noncontrolling interests in the mezzanine section of its consolidated balance sheets in accordance with applicable accounting guidance. Such redeemable noncontrolling interests primarily relate to the Watford Preference Shares issued in late March 2014 with a par value of $0.01 per share and a liquidation preference of $25.00 per share. The Watford Preference Shares were issued at a discounted amount of $24.50 per share. Holders of the Watford Preference Shares will be entitled to receive, if declared by Watford’s board, quarterly cash dividends on the last day of March, June, September, and December. Dividends accrued from the closing date to June 30, 2019 at a fixed rate of 8.5% per annum. From June 30, 2019 and subsequent, dividends will accrue based on a floating rate equal to the 3 month U.S. dollar LIBOR (with a 1% floor) plus a margin based on the difference between the fixed rate and the 5 year mid swap rate to the floating rate. Preferred dividends, including the accretion of the discount and issuance costs, are included in ‘net (income) loss attributable to noncontrolling interests’ in the Company’s consolidated statements of income. Because the redemption features are not solely within the control of Watford, the Company accounts for the redeemable noncontrolling interests in the Watford Preference Shares in the mezzanine section of its consolidated balance sheets.

On August 1, 2019, Watford redeemed 6,919,998 of its 9,065,200 issued and outstanding preference shares (“Watford Preference Shares”) at a total redemption price of $25.19748 per share, inclusive of all declared and unpaid dividends. The Company received $11.5 million pursuant to the redemption of Watford Preference Shares.
Preferred dividends on the Watford Preference Shares, including the accretion of the discount and issuance costs, was $17.8 million for 2019, compared to $19.6 million for 2018 and 2017.
The following table sets forth activity in the redeemable noncontrolling interests:
 December 31,
 2019
2018 2017
Balance, beginning of year$206,292
 $205,922
 $205,553
Redemption of redeemable noncontrolling interests(157,709) 
 
Accretion of preference share issuance costs244
 370
 369
Other6,577
 
 
Balance, end of year$55,404
 $206,292
 $205,922

December 31,
 2022

20212020
Balance, beginning of year$9,233 $58,548 $55,404 
Impact of deconsolidation of Somers— (48,919)— 
Other1,596 (396)3,144 
Balance, end of year$10,829 $9,233 $58,548 
The portion of income or loss attributable to third party investors is recorded in the consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests’ as summarized in the table below:
December 31,
 202220212020
Amounts attributable to non-redeemable noncontrolling interests$— $(78,314)$(53,076)
Amounts attributable to redeemable noncontrolling interests(5,490)(4,299)(7,114)
Net (income) loss attributable to noncontrolling interests$(5,490)$(82,613)$(60,190)
 December 31,
 2019 2018 2017
Amounts attributable to non-redeemable noncontrolling interests$(40,072) $48,507
 $7,913
Dividends attributable to redeemable noncontrolling interests(16,909) (18,357) (18,344)
Net (income) loss attributable to noncontrolling interests$(56,981) $30,150
 $(10,431)


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Bellemeade Re
The Company has entered into various aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the Bellemeade Agreements)“Bellemeade Agreements”). At the time the Bellemeade Agreements were entered into, the applicability of the accounting guidance that addresses VIEs was evaluated. As a result of the evaluation of the Bellemeade Agreements, the Company concluded that these entities are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to their economic performance, the Company does not consolidate such entities in its consolidated financial statements.


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The following table presents the total assets of the Bellemeade entities, as well as the Company’s maximum exposure to loss associated with these VIEs, calculated as the maximum historical observable spread between the one month LIBOR, the basisbenchmark index for the contractual payments to bond holders,each respective transaction and short term invested trust asset yields. The benchmark index for agreements effective prior to 2021 is based on one-month LIBOR, while the 2021 and later agreements benchmark index is based on the Secured Overnight Financing Rate (“SOFR”). SOFR is a measure of the cost of borrowing cash overnight, collateralized by U.S. Treasury securities, and is based on directly observable U.S. Treasury-backed repurchase transactions.
   Maximum Exposure to Loss
 Total VIE Assets 
On-Balance Sheet
(Asset)
Liabilities
 Off-Balance Sheet Total
December 31, 2019       
Bellemeade 2017-1 Ltd. (Oct-17)$216,429
 $(442) $2,794
 $2,352
Bellemeade 2018-1 Ltd. (Apr-18)328,482
 (1,574) 5,757
 4,183
Bellemeade 2018-2 Ltd. (Aug-18)437,009
 (877) 2,524
 1,647
Bellemeade 2018-3 Ltd. (Oct-18)426,806
 (1,113) 3,937
 2,824
Bellemeade 2019-1 Ltd. (Mar-19)257,358
 (226) 3,027
 2,801
Bellemeade 2019-2 Ltd. (Apr-19)525,959
 (78) 2,579
 2,501
Bellemeade 2019-3 Ltd. (Jul-19)656,523
 (585) 9,273
 8,688
Bellemeade 2019-4 Ltd. (Oct-19)577,267
 (302) 12,193
 11,891
Total$3,425,833
 $(5,197) $42,084
 $36,887
        
December 31, 2018       
Bellemeade 2015-1 Ltd. (Jul-15)$43,246
 $112
 $498
 $610
Bellemeade 2017-1 Ltd. (Oct-17)304,373
 165
 1,312
 1,477
Bellemeade 2018-1 Ltd. (Apr-18)374,460
 132
 3,539
 3,671
Bellemeade 2018-2 Ltd. (Aug-18)653,278
 874
 4,005
 4,879
Bellemeade 2018-3 Ltd. (Oct-18)506,110
 469
 1,836
 2,305
Total$1,881,467
 $1,752
 $11,190
 $12,942


December 31, 2022December 31, 2021
Maximum Exposure to LossMaximum Exposure to Loss
Bellemeade Entities (Issue Date)Total VIE AssetsOn-Balance Sheet (Asset) LiabilityOff-Balance SheetTotalCoverage
Remaining from
Reinsurers (1)
Total VIE AssetsOn-Balance Sheet (Asset) LiabilityOff-Balance SheetTotal
2017-1 Ltd. (Oct-17)$36,679 $(6)$14 $$— $108,368 $(159)$424 $265 
2018-1 Ltd. (Apr-18)89,698 (153)508 355 — 181,136 (528)1,268 740 
2018-3 Ltd. (Oct-18)199,237 (250)771 521 — 302,563 (1,018)2,496 1,478 
2019-1 Ltd. (Mar-19)107,880 (48)593 545 — 181,324 (380)5,807 5,427 
2019-2 Ltd. (Apr-19)325,462 (206)4,356 4,150 — 398,316 (515)3,998 3,483 
2019-3 Ltd. (Jul-19)222,977 (104)1,229 1,125 — 409,859 (584)3,190 2,606 
2019-4 Ltd. (Oct-19)266,124 (142)3,640 3,498 — 411,954 (462)4,759 4,297 
2020-2 Ltd. (Sep-20)105,110 (8)492 484 — 217,766 (177)1,984 1,807 
2020-3 Ltd. (Nov-20)243,891 53 2,872 2,925 7,079 348,818 (128)5,793 5,665 
2020-4 Ltd. (Dec-20)97,563 32 642 674 4,165 176,826 (50)1,630 1,580 
2021-1 Ltd. (Mar-21)467,469 239 2,743 2,982 35,798 568,986 (303)3,283 2,980 
2021-2 Ltd. (Jun-21)458,362 581 2,855 3,436 77,099 522,807 281 4,124 4,405 
2021-3 Ltd. (Sep-21)489,927 217 2,704 2,921 127,032 507,873 (411)3,446 3,035 
2022-1 Ltd. (Jan-22)283,500 399 1,765 2,164 33,260 
2022-2 Ltd. (Sep-22)201,005 1,172 1,616 2,788 126,160 
Total$3,594,884 $1,776 $26,800 $28,576 $410,593 $4,336,596 $(4,434)$42,202 $37,768 

(1) Coverage from a separate panel of reinsurers remaining at December 31, 2022.

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12.13.     Other Comprehensive Income (Loss)


The following table presents the changes in each component of AOCI, net of noncontrolling interests:
 Unrealized Appreciation on Available-For-Sale Investments Foreign Currency Translation Adjustments Total
Year Ended December 31, 2019     
Beginning balance$(114,178) $(64,542) $(178,720)
Other comprehensive income (loss) before reclassifications491,605
 18,147
 509,752
Amounts reclassified from accumulated other comprehensive income(118,941) 
 (118,941)
Net current period other comprehensive income (loss)372,664
 18,147
 390,811
Ending balance$258,486
 $(46,395) $212,091
      
Year Ended December 31, 2018     
Beginning balance$157,400
 $(39,356) $118,044
Cumulative effect of an accounting change(149,794) 
 (149,794)
Other comprehensive income (loss) before reclassifications(266,357) (25,186) (291,543)
Amounts reclassified from accumulated other comprehensive income144,573
 
 144,573
Net current period other comprehensive income (loss)(121,784) (25,186) (146,970)
Ending balance$(114,178) $(64,542) $(178,720)
      
Year Ended December 31, 2017     
Beginning balance$(27,641) $(86,900) $(114,541)
Other comprehensive income (loss) before reclassifications252,904
 47,544
 300,448
Amounts reclassified from accumulated other comprehensive income(67,863) 
 (67,863)
Net current period other comprehensive income (loss)185,041
 47,544
 232,585
Ending balance$157,400
 $(39,356) $118,044

Unrealized Appreciation on Available-For-Sale InvestmentsForeign Currency Translation AdjustmentsTotal
Year Ended December 31, 2022
Beginning balance$13,486 $(78,086)$(64,600)
Other comprehensive income (loss) before reclassifications(1,772,649)(56,720)(1,829,369)
Amounts reclassified from accumulated other comprehensive income247,799 — 247,799 
Net current period other comprehensive income (loss)(1,524,850)(56,720)(1,581,570)
Ending balance$(1,511,364)$(134,806)$(1,646,170)
Year Ended December 31, 2021
Beginning balance$501,295 $(12,400)$488,895 
Other comprehensive income (loss) before reclassifications(371,741)(65,686)(437,427)
Amounts reclassified from accumulated other comprehensive income(116,068)— (116,068)
Net current period other comprehensive income (loss)(487,809)(65,686)(553,495)
Ending balance$13,486 $(78,086)$(64,600)
Year Ended December 31, 2020
Beginning balance$258,486 $(46,395)$212,091 
Other comprehensive income (loss) before reclassifications668,996 33,995 702,991 
Amounts reclassified from accumulated other comprehensive income(426,187)— (426,187)
Net current period other comprehensive income (loss)242,809 33,995 276,804 
Ending balance$501,295 $(12,400)$488,895 
The following tables present details about amounts reclassified from accumulated other comprehensive income and the tax effects allocated to each component of other comprehensive income (loss):
Consolidated Statement of IncomeAmounts Reclassified from AOCI
Details AboutLine Item That IncludesYear Ended December 31,
 AOCI ComponentsReclassification202220212020
Unrealized appreciation on available-for-sale investments
Net realized gains (losses)$(235,989)$157,095 $478,659 
Provision for credit losses(43,909)(2,099)(3,597)
Other-than-temporary impairment losses— — (533)
Total before tax(279,898)154,996 474,529 
Income tax (expense) benefit32,099 (38,928)(48,342)
Net of tax$(247,799)$116,068 $426,187 
  Consolidated Statement of Income Amounts Reclassified from AOCI
Details About Line Item That Includes Year Ended December 31,
 AOCI Components Reclassification 2019 2018 2017
Unrealized appreciation on available-for-sale investments      
  Net realized gains (losses) $131,043
 $(153,822) $82,542
  Other-than-temporary impairment losses (3,165) (2,829) (7,138)
  Total before tax 127,878
 (156,651) 75,404
  Income tax (expense) benefit (8,937) 12,078
 (7,541)
  Net of tax $118,941
 $(144,573) $67,863



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Following are the related tax effects allocated to each component of other comprehensive income (loss):
Before TaxTax ExpenseNet of Tax
Amount(Benefit)Amount
Year Ended December 31, 2022
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(2,010,443)$(237,794)$(1,772,649)
Less reclassification of net realized gains (losses) included in net income(279,898)(32,099)(247,799)
Foreign currency translation adjustments(56,554)166 (56,720)
Other comprehensive income (loss)$(1,787,099)$(205,529)$(1,581,570)
Year Ended December 31, 2021
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$(406,774)$(19,845)$(386,929)
Less reclassification of net realized gains (losses) included in net income154,996 38,928 116,068 
Foreign currency translation adjustments(64,423)59 (64,482)
Other comprehensive income (loss)$(626,193)$(58,714)$(567,479)
Year Ended December 31, 2020
Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$754,572 $75,855 $678,717 
Less reclassification of net realized gains (losses) included in net income474,529 48,342 426,187 
Foreign currency translation adjustments33,706 370 33,336 
Other comprehensive income (loss)$313,749 $27,883 $285,866 
 Before Tax Tax Expense Net of Tax
 Amount (Benefit) Amount
Year Ended December 31, 2019     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$562,576
 $61,805
 $500,771
Less reclassification of net realized gains (losses) included in net income127,878
 8,937
 118,941
Foreign currency translation adjustments18,463
 353
 18,110
Other comprehensive income (loss)$453,161
 $53,221
 $399,940
      
Year Ended December 31, 2018     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$(294,267) $(24,210) $(270,057)
Less reclassification of net realized gains (losses) included in net income(156,651) (12,078) (144,573)
Foreign currency translation adjustments(25,006) (176) (24,830)
Other comprehensive income (loss)$(162,622) $(12,308) $(150,314)
      
Year Ended December 31, 2017     
Unrealized appreciation (decline) in value of investments:     
Unrealized holding gains (losses) arising during period$266,559
 $13,655
 $252,904
Less reclassification of net realized gains (losses) included in net income75,404
 7,541
 67,863
Foreign currency translation adjustments47,549
 535
 47,014
Other comprehensive income (loss)$238,704
 $6,649
 $232,055




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13.14.    Earnings Per Common Share
The calculation of basic earnings per common share is computed by dividing income available to Arch common shareholders by the weighted average number of Common Shares and common share equivalents outstanding. The following table sets forth the computation of basic and diluted earnings per common share:
Year Ended December 31,
202220212020
Numerator:
Net income$1,482,423 $2,239,462 $1,465,711 
Amounts attributable to noncontrolling interests(5,490)(82,613)(60,190)
Net income available to Arch1,476,933 2,156,849 1,405,521 
Preferred dividends(40,736)(48,343)(41,612)
Loss on redemption of preferred shares— (15,101)— 
Net income available to Arch common shareholders$1,436,197 $2,093,405 $1,363,909 
Denominator:
Weighted average common shares outstanding368,612,197 391,748,715 403,062,179 
Effect of dilutive common share equivalents:
Nonvested restricted shares2,103,036 1,996,524 1,682,309 
Stock options (1)6,894,534 6,600,697 5,514,967 
Weighted average common shares and common share equivalents outstanding – diluted377,609,767 400,345,936 410,259,455 
Earnings per common share:
Basic$3.90 $5.34 $3.38 
Diluted$3.80 $5.23 $3.32 
(1)    Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2022, 2021 and 2020, the number of stock options excluded were 798,053, 2,398,608 and 2,249,821, respectively.
 Year Ended December 31,
 2019 2018 2017
Numerator:     
Net income$1,693,300
 $727,821
 $629,709
Amounts attributable to noncontrolling interests(56,981) 30,150
 (10,431)
Net income available to Arch1,636,319
 757,971
 619,278
Preferred dividends(41,612) (41,645) (46,041)
Loss on redemption of preferred shares
 (2,710) (6,735)
Net income available to Arch common shareholders$1,594,707
 $713,616
 $566,502
      
Denominator:     
Weighted average common shares outstanding401,802,815
 401,036,376
 377,531,628
Series D preferred securities (1)
 3,311,245
 26,606,736
Weighted average common shares outstanding – basic401,802,815
 404,347,621
 404,138,364
Effect of dilutive common share equivalents:     
Nonvested restricted shares1,673,770
 1,474,207
 3,936,594
Stock options (2)8,132,893
 7,084,650
 9,710,067
Weighted average common shares and common share equivalents outstanding – diluted411,609,478
 412,906,478
 417,785,025
      
Earnings per common share:     
Basic$3.97
 $1.76
 $1.40
Diluted$3.87
 $1.73
 $1.36
15.     Income Taxes
(1)The company has determined that, based on a review of the terms, features and rights of the Company’s non-voting common equivalent preferred shares compared to the rights of the Company’s common shareholders, the underlying common shares that the convertible securities convert to were common share equivalents at the time of their issuance.
(2)Certain stock options were not included in the computation of diluted earnings per share where the exercise price of the stock options exceeded the average market price and would have been anti-dilutive or where, when applying the treasury stock method to in-the-money options, the sum of the proceeds, including unrecognized compensation, exceeded the average market price and would have been anti-dilutive. For 2019, 2018 and 2017, the number of stock options excluded were 1,302,017, 5,673,821 and 2,603,451, respectively.
14.     Income Taxes
Arch Capital is incorporated under the laws of Bermuda and, under current Bermuda law, is not obligated to pay any taxes in Bermuda based upon income or capital gains. The Company has received a written undertaking from the Minister of Finance in Bermuda under the Exempted Undertakings Tax Protection Act 1966 that, in the event that any legislation is enacted in Bermuda imposing any tax computed on profits, income, gain or appreciation on any capital asset, or any tax in the nature of estate duty or inheritance tax, such tax will not be applicable to Arch Capital or any of its operations until March 31, 2035. This undertaking does not, however, prevent the imposition of taxes on any person ordinarily resident in Bermuda or any company in respect of its ownership of real property or leasehold interests in Bermuda.
Arch Capital and its non-U.S. subsidiaries will be subject to U.S. federal income tax only to the extent that they derive U.S.
source income that is subject to U.S. withholding tax, or income that is effectively connected with the conduct of a trade or business within the U.S. and is not exempt from U.S.
tax under an applicable income tax treaty with the U.S., or because a non-U.S. subsidiary has elected to be treated as a U.S. taxpayer. Arch Capital and its non-U.S. subsidiaries will be subject to a withholding tax on dividends from U.S. investments and interest from certain U.S. payors (subject to reduction by any applicable income tax treaty). Arch Capital and its non-U.S. subsidiaries intend to conduct their operations in a manner that will not cause them to be treated as engaged in a trade or business in the United States and, therefore, will not be required to pay U.S. federal income taxes (other than U.S. excise taxes on insurance and reinsurance premium and withholding taxes on dividends and certain other U.S. source investment income). However, because there is uncertainty as to the activities which constitute being engaged in a trade or business within the United States, there can be no assurances that the U.S. Internal Revenue Service will not contend successfully that Arch Capital, or its non-U.S. subsidiaries that do not elect to become U.S. taxpayers, are engaged in a trade or business in the United States. If Arch Capital or any of its non-U.S. subsidiaries


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were subject to U.S. income tax, Arch Capital’s shareholders’ equity and earnings could be materially adversely affected. Arch Capital has subsidiaries and branches that operate in various jurisdictions around the world that are subject to tax in the jurisdictions in which they

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operate. The significant jurisdictions in which Arch Capital’s subsidiaries and branches are subject to tax are the United States, United Kingdom, Ireland, Canada, Switzerland, Australia and Denmark.
The components of income taxes attributable to operations were as follows:
 Year Ended December 31,
 2019 2018 2017
Current expense (benefit):     
United States$139,407
 $73,078
 $(51,705)
Non-U.S.4,954
 12,785
 5,969
 144,361
 85,863
 (45,736)
Deferred expense (benefit):     
United States11,849
 19,544
 169,093
Non-U.S.(400) 8,544
 4,211
 11,449
 28,088
 173,304
Income tax expense$155,810
 $113,951
 $127,568

Year Ended December 31,
202220212020
Current expense (benefit):
United States$195,588 $284,274 $181,571 
Non-U.S.5,628 11,259 16,091 
201,216 295,533 197,662 
Deferred expense (benefit):
United States(96,599)(123,261)(89,170)
Non-U.S.(24,656)(43,690)3,346 
(121,255)(166,951)(85,824)
Income tax expense$79,961 $128,582 $111,838 
The Company’s income or loss before income taxes was earned in the following jurisdictions:
 Year Ended December 31,
 2019 2018 2017
Income (Loss) Before Income Taxes:  
Bermuda$1,122,952
 $388,492
 $406,054
United States701,480
 440,823
 381,157
Other24,678
 12,457
 (29,934)
Total$1,849,110
 $841,772
 $757,277

Year Ended December 31,
202220212020
Income (Loss) Before Income Taxes:
Bermuda$985,828 $1,518,616 $1,114,117 
United States400,865 643,239 409,893 
Other175,691 206,187 53,539 
Total$1,562,384 $2,368,042 $1,577,549 
The expected tax provision computed on pre-tax income or loss at the weighted average tax rate has been calculated as the sum of the pre-tax income in each jurisdiction multiplied by that jurisdiction’s applicable statutory tax rate. The 20192022 applicable statutory tax rates by jurisdiction were as follows: Bermuda (0.0%), United States (21.0%), United Kingdom (19.0%), Ireland (12.5%), Denmark (22.0%), Canada (26.5%), Gibraltar (10.0%(12.5%), Australia (30.0%), Hong Kong (16.5%) and the Netherlands (19.0%(25.8%). The United States rate was 35% in 2017.
A reconciliation of the difference between the provision for income taxes and the expected tax provision at the weighted average tax rate follows:
 Year Ended December 31,
 2019 2018 2017
Expected income tax expense (benefit) computed on pre-tax income
at weighted average income tax rate
$149,799
 $91,529
 $126,262
Addition (reduction) in income tax expense (benefit) resulting from:     
Tax-exempt investment income(3,091) (4,790) (13,330)
Meals and entertainment1,134
 1,060
 1,063
State taxes, net of U.S. federal tax benefit3,314
 2,086
 732
Foreign branch taxes1,231
 5,428
 5,752
Prior year adjustment632
 (2,522) (559)
Foreign exchange gains & losses436
 1,293
 (572)
Changes in applicable tax rate
 (128) 7,745
Dividend withholding taxes6,510
 6,594
 232
Change in valuation allowance1,628
 18,396
 14,798
Contingent consideration190
 740
 3,785
Share based compensation(6,592) (5,356) (18,733)
Other619
 (379) 393
Income tax expense (benefit)$155,810
 $113,951
 $127,568

Year Ended December 31,
202220212020
Expected income tax expense (benefit) computed on pre-tax income at weighted average income tax rate$110,337 $158,269 $111,947 
Addition (reduction) in income tax expense (benefit) resulting from:
Investment income(12,762)(23,572)(1,824)
State taxes, net of U.S. federal tax benefit10,650 20,978 5,027 
Dividend withholding taxes10,559 12,211 7,105 
Change in valuation allowance(22,726)(40,425)13,190 
Base eroding tax7,694 — — 
Share based compensation(9,159)(5,339)(2,533)
Tax credits(9,736)— — 
Intercompany loan write-off(3,544)— (22,083)
Other(1,352)6,460 1,009 
Income tax expense (benefit)$79,961 $128,582 $111,838 
The effect of a change in tax laws or rates on deferred taxestax assets and liabilities is recognized in income in the period in which such change is enacted.
On December 22, 2017, the Tax Cuts Act was signed into law which significantly changed the U.S. tax laws in many ways including a reduction of the U.S. federal income tax rate from 35% to 21% effective January 1, 2018. Also on December 22, 2017, the Securities and Exchange Commission issued Staff Accounting Bulletin No. 118 (“SAB 118”) which provided guidance on accounting for tax effects of the Tax Cuts Act. SAB 118 provided a measurement period of up to one year from the enactment date to complete the accounting. During 2018, the Company finalized its accounting for the income tax impact of the Tax Cuts Act resulting in a tax expense of $1.2 million, primarily attributable to the write down of temporary differences identified following the filing of the Company’s 2017 corporate tax return offset by AMT credits that were currently recoverable.


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Deferred income tax assets and liabilities reflect temporary differences based on enacted tax rates between the carrying amounts of assets and liabilities for financial reporting and income tax purposes.


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Significant components of the Company’s deferred income tax assets and liabilities were as follows:
 December 31,
 2019 2018
Deferred income tax assets:   
Net operating loss$30,836
 $24,089
Uncrystallized losses

1,565
 7,960
AMT credit carryforward1,323
 2,652
Discounting of net loss reserves52,582
 43,130
Net unearned premium reserve64,269
 68,305
Compensation liabilities21,693
 20,492
Foreign tax credit carryforward9,521
 9,116
Interest expense
 1,387
Goodwill and intangible assets11,644
 17,127
Bad debt reserves5,983
 5,626
Lease liability26,438
 
Net unrealized foreign exchange losses598
 949
Net unrealized decline of investments
 13,453
Other, net206
 3,418
Deferred tax assets before valuation allowance226,658
 217,704
Valuation allowance(48,219) (44,659)
Deferred tax assets net of valuation allowance178,439
 173,045
Deferred income tax liabilities:   
Depreciation and amortization(1,215) (2,559)
Deposit accounting liability(2,169) (2,292)
Contingency reserve(132,831) (112,852)
Deferred policy acquisition costs(29,847) (32,105)
Net unrealized appreciation of investments(38,764) 
Right-of-use asset(23,416) 
Other, net(3,680) (735)
Total deferred tax liabilities(231,922) (150,543)
Net deferred income tax assets (liabilities)$(53,483) $22,502

December 31,
20222021
Deferred income tax assets:
Net operating loss$76,665 $87,960 
Discounting of net loss reserves77,556 72,001 
Net unearned premium reserve96,581 75,483 
Compensation liabilities55,269 28,062 
Foreign tax credit carryforward16,738 20,058 
Bad debt reserves17,365 10,252 
Depreciation and amortization141,409 115,041 
Lease liability26,681 21,453 
Net unrealized decline of investments192,949 — 
Lloyds year of account deferral1,385 — 
Other, net14,450 703 
Deferred tax assets before valuation allowance717,048 431,013 
Valuation allowance(6,968)(43,953)
Deferred tax assets net of valuation allowance710,080 387,060 
Deferred income tax liabilities:
Deposit accounting liability(2,658)(1,578)
Goodwill and intangibles(38,905)(70,549)
Lloyds year of account deferral— (12,514)
Contingency reserve(43,870)(49,486)
Deferred policy acquisition costs(63,708)(25,612)
Investment related(9,225)(7,492)
Net unrealized appreciation of investments— (8,377)
Right-of-use asset(20,781)(17,406)
Total deferred tax liabilities(179,147)(193,014)
Net deferred income tax assets$530,933 $194,046 
The Company provides a valuation allowance to reduce the net value of certain deferred tax assets to an amount which management expects to more likely than not be realized. As of December 31, 2019,2022, the Company’s valuation allowance was $48.2$7.0 million, compared to $44.7$44.0 million at December 31, 2018.2021. The valuation allowance in both periodsat December 31, 2022, was primarily attributable to valuation allowanceallowances on the Company’s U.K. CanadianIreland and AustralianHong Kong operations and certain other deferred tax assets relating to loss carryforwardstax attributes that have a limited use.
At December 31, 2019,2022, the Company’s net operating loss carryforwards and tax credits were as follows:
 Year Ended December 31,
 2019 Expiration
Operating Loss Carryforwards   
United Kingdom$89,000
 No expiration
Ireland10,200
 No expiration
Australia22,000
 No expiration
Hong Kong17,600
 No expiration
Denmark400
 No expiration
United States (1) (2)23,100
 2029 - 2038
    
Tax Credits   
U.K. foreign tax credits9,521
 No expiration
U.S. refundable AMT credits1,323
 No expiration
Year Ended December 31,
2022Expiration
Operating Loss Carryforwards
United Kingdom$198,571 No expiration
Ireland61,685 No expiration
Australia32,333 No expiration
Hong Kong28,080 No expiration
Netherlands60 No expiration
United States (1)23,766 2029 - 2038
Tax Credits
U.K. foreign tax credits13,907 No expiration
U.S. foreign tax credits2,830 2029 - 2032
(1) Includes $0.6 million net operating loss carryforwards from Watford.
(2) On January 30, 2014, the Company’s U.S. mortgage operations underwent an ownership change for U.S. federal income tax purposes as a result of the Company’s acquisition of the CMG Entities. As a result of this ownership change, a limitation has been imposed upon the utilization of approximately $8.9$7.0 million of the Company’s existing U.S. net operating loss carryforwards. Utilization is limited to approximately $0.6 million per year in accordance with Section 382 of the Internal Revenue Code of 1986 as amended (“the Code”).
The Company’s U.S. mortgage operations are eligible for a tax deduction, subject to certain limitations, under Section 832(e) of the Code for amounts required by state law or regulation to be set aside in statutory contingency reserves. The deduction is allowed only to the extent that the Company purchases non-interest bearing U.S. Mortgage Guaranty Tax and Loss Bonds (“T&L Bonds”) issued by the U.S. Treasury Department in an amount equal to the tax benefit derived from deducting any portion of the statutory contingency reserves. T&L Bonds are reflected in ‘other assets’ on the Company’s balance sheet and totaled approximately $207.0$12.4 million at December 31, 2019,2022, compared to $183.0$31.6 million at December 31, 2018.2021.
Deferred income tax liabilities have not been accrued with respect to the undistributed earnings of the Company's U.S., U.K. and Ireland subsidiaries as it is the Company’s intention that all such earnings will be indefinitely reinvested. If the earnings were to be distributed, as dividends or otherwise, such amounts may be subject to withholding tax in the jurisdiction of the paying entity. The Company no longer intends to indefinitely reinvest earnings from the Company's Canada subsidiary, however, no income or withholding taxes have been accrued as the Canada subsidiary does not have positive cumulative earnings and profits and therefore a distribution from this particular subsidiary would not be subject to income taxes or withholding taxes. Potential tax implications of repatriation from the Company’s unremitted earnings that are indefinitely reinvested are driven by facts at the time of distribution. Therefore, it is not practicable to estimate the income tax liabilities that might be incurred if such earnings were remitted. Distributions from the U.K. or Ireland would not


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such earnings were remitted. Distributions from the U.K. or Ireland would not be subject to withholding tax and no deferred income tax liability would need to be accrued.
The Company recognizes interest and penalties relating to unrecognized tax benefits in the provision for income taxes. As of December 31, 2019,2022, the Company’s total unrecognized tax benefits, including interest and penalties, were $2.0 million. If recognized, the full amount of the unrecognized tax benefit would impact the consolidated effective tax rate. A reconciliation of the beginning and ending amount of unrecognized tax benefits is as follows:
 December 31,
 2019 2018
Balance at beginning of year$2,008
 $2,008
Additions based on tax positions related to the current year
 
Additions for tax positions of prior years
 
Reductions for tax positions of prior years
 
Settlements
 
Balance at end of year$2,008
 $2,008

December 31,
20222021
Balance at beginning of year$2,008 $2,008 
Additions based on tax positions related to the current year— — 
Additions for tax positions of prior years— — 
Reductions for tax positions of prior years— — 
Settlements— — 
Balance at end of year$2,008 $2,008 
The Company, or its subsidiaries orand branches filesfile income tax returns in the U.S.various federal, jurisdictionstate and various state, local and foreign jurisdictions.Thejurisdictions. The following table details open tax years that are potentially subject to examination by local tax authorities, in the following major jurisdictions:
JurisdictionTax Years
United States2015-2022
United Kingdom2020-2022
Ireland2018-2022
Canada2018-2022
Switzerland2018-2022
Denmark2018-2022
Australia2018-2022
JurisdictionTax Years
United States2016-2019
United Kingdom2018-2019
Ireland2015-2019
Canada2016-2019
Switzerland2017-2019
Denmark2015-2019

As of December 31, 2019,2022, the Company’s current income tax payable (included in “Other liabilities”) was $13.5$40.6 million.
Inflation Reduction Act of 2022.
On August 16, 2022, the U.S. government enacted the Inflation Reduction Act of 2022, which among other things implements a 15% minimum tax on book income of certain large corporations, a 1% excise tax on net stock repurchases and several tax incentives to promote clean energy. The effective date of these provisions is January 1, 2023. Based on its current analysis of the provisions, the Company does not expect that this legislation will have a material effect on the Company’s consolidated financial statements.
15.
16.    Transactions with Related Parties
InIn 2017, the Company acquired approximately 25% of Premia Holdings Ltd. Premia Holdings Ltd. is the parent of Premia Reinsurance Ltd., a multi-line Bermuda reinsurance company (together with Premia Holdings Ltd., “Premia”). Premia’s strategy is to reinsure or acquire companies or reserve portfolios in the non-life property and casualty insurance and reinsurance run-off market. Arch Re Bermuda and certain Arch co-investors invested $100.0 million and acquired approximately 25% of Premia as well as warrants to purchase additional common equity. Arch has appointed two directors to serve on the seven person board of directors of Premia. Arch Re Bermuda is providing a 25% quota share reinsurance treaty on certain business written by Premia.
In the 2019 fourth quarter, Barbican During 2022, Arch Re Bermuda entered into certain reinsurance and related transactions with Premia pursuantwhich generated net premiums written and earned of $121.1 million and $119.9 million, respectively, compared to which$40.4 million of net premiums written and earned in 2021. At December 31, 2022, Arch Re Bermuda recorded a funds held asset from Premia assumed a transfer of liability$118.7 million, compared to $53.5 million at December 31, 2021.
In the 2021 first quarter, as part of the Company’s acquisition of Barbican, the Company entered into an agreement with Premia Managing Agency Limited for the reinsurance to close of Syndicate 1955’s 2018 underwriting year of account into Premia Syndicate 1884’s 2021 underwriting year of account. The reinsurance to close covers legacy business underwritten by Syndicate 1955 on the underwriting 2018 and prior years of account and under the agreement, approximately $380 million of Barbican asnet liabilities was transferred to Syndicate 1884, with an effective date of JulyJanuary 1, 2019. Barbicanrecorded2021. The Company had no reinsurance recoverable on unpaid and paid losses andor funds held liability of $177.7 million and $180.0 million, respectively, at December 31, 2019.2022 and December 31, 2021.
Certain directors and executive officersIn July 2021, following consummation of the Merger Agreement and the related Greysbridge equity financing, pursuant to which Somers became wholly owned by Greysbridge, and Greysbridge is owned 40% by the Company, own common30% by certain funds managed by Kelso and preference shares30% by certain funds managed by Warburg. During the 2022 and 2021 period, the Company entered into certain reinsurance transactions with Somers. The Company’s net premiums written was reduced by $519.4 million and $379.1 million, for the 2022 and 2021 periods, respectively (which included reinsurance transactions as well as those entered into in conjunction with the Merger Agreement). In addition, Somers paid certain acquisition costs and administrative fees to the Company. At December 31, 2022, the Company recorded a reinsurance recoverable on unpaid and paid losses from Somers of Watford.$1.2 billion and a reinsurance balance payable to Somers of $413.8 million. At December 31, 2021,

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
reinsurance recoverable on unpaid and paid losses from Somers was $902.8 million, with a reinsurance balance payable to Somers of $258.4 million. See note 11,12, “Variable Interest Entity and Noncontrolling Interests,Interests.
The Company has a put/call option that was entered into in connection with the Greysbridge equity financing, whereby beginning January 1, 2024 the Company will have a call right (but not the obligation) and Warburg and Kelso will each have a put right (but not the obligation) to buy/sell one third of their initial shares annually at the tangible book value per share of Greysbridge for information about Watford.the most recently ended fiscal quarter.
As of December 31, 2022, the Company owns $35.0 million in aggregate principal amount of Somers 6.5% senior notes, due July 2, 2029.
16.17.    Leases
In the ordinary course of business, the Company renews and enters into new leases for office property and equipment. At the lease inception date, the Company determines whether a contract contains a lease and its classification as a finance or operating lease. Primarily all of the Company’s leases are classified as operating leases. The Company’s operating leases have remaining lease terms of up to 1110 years, some of which include options to extend the lease term. The Company considers these options when determining the lease term and measuring its lease liability and right-of-use asset. In addition, the Company’s lease agreements do not contain any material residual value guarantees or material restrictive covenants.

Short-term operating leases with an initial term of twelve months or less were excluded on the Company's consolidated balance sheet and represent an inconsequential amount of operating lease expense.

As most leases do not provide an implicit rate, the Company uses its incremental borrowing rate based on the information available at the lease commencement date in determining the present value of lease payments.

Additional information regarding the Company’s operating leases is as follows:
December 31, 2019  
Operating lease costs

 $30,478
Cash payments included in the measurement of lease liabilities reported in operating cash flows $27,521
Right-of-use assets obtained in exchange for new lease liabilities $7,445
Right-of-use assets (1) $131,661
Operating lease liability (1) $150,519
Weighted average discount rate 3.9%
Weighted average remaining lease term 6.4 years
(1)The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’



December 31,
20222021
Operating lease costs$33,571 $31,691 
Sublease income (1)$(988)$— 
Cash payments included in the measurement of lease liabilities reported in operating cash flows$26,051 $32,094 
Right-of-use assets obtained in exchange for new lease liabilities$42,841 $22,686 
Right-of-use assets (2)$123,083 $106,836 
Operating lease liability (2)$151,890 $126,711 
Weighted average discount rate4.2 %3.9 %
Weighted average remaining lease term6.6 years5.9 years
(1)    The sublease income primarily relates to office property in Raleigh, North Carolina.
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Table of Contents(2)    The right-of-use assets are included in ‘other assets’ while the operating lease liability is included in ‘other liabilities.’
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



The following table presents the contractual maturities of the Company's operating lease liabilities at December 31, 2019:2022:
Years Ending December 31,
2023$31,861 
202430,091 
202524,651 
202621,939 
202717,859 
2028 and thereafter48,522 
Total undiscounted lease liability$174,923 
Less: present value adjustment(23,033)
Operating lease liability$151,890 
Years Ending December 31,  
2020 $31,907
2021 30,842
2022 27,597
2023 23,027
2024 16,913
2025 and thereafter 40,167
Total undiscounted lease liability 170,453
Less: present value adjustment (19,934)
Operating lease liability $150,519


At December 31, 2018, the future minimum rental commitments, exclusive of escalation clauses and maintenance costs and net of rental income, for all of the Company’s operating leases was as follows:
Years Ending December 31,  
2019 $31,088
2020 30,491
2021 29,351
2022 26,068
2023 21,408
2024 and thereafter 54,745
Total $193,151


All of these leases are for the rental of office space, with expiration terms that range from 2020 to 2030. Rental expense was approximately $30.5$38.9 million, $27.6$39.1 million and $31.1$37.4 million for 2019, 20182022, 2021 and 2017,2020, respectively.
At December 31, 2019, the Company has entered into certain financing lease agreements. The future lease payments for the Company’s financing leases are expected to be $4.8 million and $2.1 million for 2020 and 2021, respectively.
17.18.    Commitments and Contingencies
Concentrations of Credit Risk
The creditworthiness of a counterparty is evaluated by the Company, taking into account credit ratings assigned by independent agencies. The credit approval process involves an assessment of factors, including, among others, the counterparty, country and industry credit exposure limits. Collateral may be required, at the discretion of the Company, on certain transactions based on the creditworthiness of the counterparty.
The areas where significant concentrations of credit risk may exist include unpaid losses and loss adjustment expenses recoverable, contractholder receivables, ceded unearned premiums, paid losses and loss adjustment expenses recoverable net of reinsurance balances payable, investments and cash and cash equivalent balances. A credit exposure exists
with respect to reinsurance recoverables as they may

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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS
become uncollectible. The Company manages its credit risk in its reinsurance relationships by transacting with reinsurers that it considers financially sound and, if necessary, the Company may hold collateral in the form of funds, trust accounts and/or irrevocable letters of credit. This collateral can be drawn on for amounts that remain unpaid beyond specified time periods on an individual reinsurer basis. In addition, certain insurance policies written by the Company’s insurance operations feature large deductibles, primarily in its construction and national accounts lines of business. Under such contracts, the Company is obligated to pay the claimant for the full amount of the claim. The Company is subsequently reimbursed by the policyholder for the deductible amount. These amounts are included on a gross basis in the consolidated balance sheet in contractholder payables and contractholder receivables, respectively. In the event that the Company is unable to collect from the policyholder, the Company would be liable for such defaulted amounts. Collateral, primarily in the form of letters of credit, cash and trusts, is obtained from the policyholder to mitigate the Company’s credit risk. In the instances where the company receives collateral in the form of cash, the Company records a related liability in “Collateral held for insured obligations.”
In addition, the Company underwrites a significant amount of its business through brokers and a credit risk exists should any of these brokers be unable to fulfill their contractual obligations with respect to the payments of insurance and reinsurance balances owed to the Company. The following table summarizes the percentage of the Company’s gross premiums written generated from or placed by the largest brokers:
Broker
Year Ended December 31,

2019
2018
2017
Aon Corporation and its subsidiaries
12.2%
11.4%
11.3%
Marsh & McLennan Companies and its subsidiaries
9.6%
9.3%
10.7%

Broker

Year Ended December 31,

202220212020
Marsh & McLennan Companies and its subsidiaries17.3 %18.3 %13.3 %
Aon Corporation and its subsidiaries13.8 %12.2 %12.0 %
No other broker and no one insured or reinsured accounted for more than 10% of gross premiums written for 2019, 20182022, 2021 and 2017.2020.
The Company’s available for sale investment portfolio is managed in accordance with guidelines that have been tailored to meet specific investment strategies, including standards of diversification, which limit the allowable holdings of any single issue. There were no investments in any entity in excess of 10% of the Company’s shareholders’ equity at December 31, 20192022 other than investments issued or guaranteed by the United States government or its agencies.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Investment Commitments
The Company’s investment commitments, which are primarily related to agreements entered into by the Company to invest in funds and separately managed accounts when called upon, were approximately $1.69$2.9 billion and $1.77$3.0 billion at December 31, 20192022 and 2018,2021, respectively.
Contingent Consideration Liability
Pursuant to the Company’s 2014 acquisition of the CMG Entities, the Company made a contingent consideration payment of $61.5 million in April 2019 and $71.7 million in April 2017. The maximum remaining amount of contingent consideration payments is $6.7 million over the remaining earn-out period. To the extent that the adjusted book value of the CMG Entities drops below the cumulative amount paid by the Company, no additional payments would be due.
Purchase Obligations
The Company has also entered into certain agreements which commit the Company to purchase goods or services, primarily related to software and computerized systems. Such purchase obligations were approximately $55.6$150.1 million and $39.5$114.1 million at December 31, 20192022 and 2018,2021, respectively.
Employment and Other Arrangements
At December 31, 2019,2022, the Company has entered into employment agreements with certain of its executive officers. Such employment arrangements provide for compensation in the form of base salary, annual bonus, share-based awards, participation in the Company’s employee benefit programs and the reimbursements of expenses.
18.19.    Debt and Financing Arrangements
The Company’s senior notes payable at December 31, 20192022 and 20182021 were as follows:
     Carrying Amount atCarrying Amount at
 Interest Principal December 31,InterestPrincipalDecember 31,
 (Fixed) Amount 2019 2018(Fixed)Amount20222021
2034 notes (1) 7.350% 300,000
 297,254
 297,150
2034 notes (1)7.350 %300,000 297,618 297,488 
2043 notes (2) 5.144% 500,000
 494,831
 494,723
2043 notes (2)5.144 %500,000 495,188 495,063 
2026 notes (3) 4.011% 500,000
 496,806
 496,417
2026 notes (3)4.011 %500,000 498,073 497,633 
2046 notes (4) 5.031% 450,000
 445,317
 445,238
2046 notes (4)5.031 %450,000 445,582 445,490 
Watford notes (5) 6.500% 140,000
 137,418
 
2050 notes (5)2050 notes (5)3.635 %1,000,000 988,949 988,720 
   $1,890,000
 $1,871,626
 $1,733,528
$2,750,000 $2,725,410 $2,724,394 
(1) Senior notes of Arch Capital issued on May 4, 2004 and due May 1, 2034 (“2034 notes”).
(2) Senior notes of Arch-U.S., a wholly-owned subsidiary of Arch Capital, issued on December 13, 2013 and due November 1, 2043 (“2043 notes”), fully and unconditionally guaranteed by Arch Capital.
(3) Senior notes of Arch Capital Finance LLC (“Arch Finance”), a wholly-owned finance subsidiary of Arch Capital, issued on December 8, 2016 and due December 15, 2026 (“2026 notes”), fully and unconditionally guaranteed by Arch Capital.
(4) Senior notes of Arch Finance issued on December 8, 2016 and due December 15, 2046 (“2046 notes”), fully and unconditionally guaranteed by Arch Capital
(5) Senior notes of WatfordArch Capital issued on July 2, 2019June 30, 2020 and due July 2, 2029, reflecting the elimination of amounts owned by Arch-U.S.June 30, 2050 (“2050 notes”).
The 2034 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its existing and future senior unsecured indebtedness. Interest payments on the 2034 notes are due on May 1st and November 1st of each year.

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Arch Capital may redeem the 2034 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2043 notes are unsecured and unsubordinated obligations of Arch-U.S. and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch-U.S. and Arch Capital, respectively. Interest payments on the 2043 notes are due on May 1st and November 1st of each year. Arch-U.S. may redeem the 2043 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2026 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2026 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2026 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
The 2046 notes are unsecured and unsubordinated obligations of Arch Finance and Arch Capital, respectively, and rank equally and ratably with the other unsecured and unsubordinated indebtedness of Arch Finance and Arch Capital, respectively. Interest payments on the 2046 notes are due on June 15th and December 15th of each year. Arch Finance may redeem the 2046 notes at any time and from time to time, in whole or in part, at a “make-whole” redemption price.
On July 2, 2019, Watford completed an offering of $175.0 million in aggregate principal amountThe 2050 notes are Arch Capital’s senior unsecured obligations and rank equally with all of its 6.5%existing and future senior notes, due July 2, 2029 (“Watford Senior Notes”).unsecured indebtedness. Interest payments on the Watford Senior Notes will be paid semi-annually2050 notes are due on June 30 and December 30 of each year. Arch Capital may redeem the 2050 notes at any time and from time to time, in arrears on each January 2 and July 2, commencing January 2, 2020. The $172.4 million net proceeds from the offering were used to redeemwhole or in part, at a portion of Watford Preference Shares. The Company purchased $35.0 million in aggregate principal amount of the Watford Senior Notes.“make-whole” redemption price.
Letter of Credit and Revolving Credit Facilities
In the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities.


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On December 17, 2019,April 7, 2022, Arch Capital and certain of its subsidiaries enteredamended its existing credit agreement into a $750.0$925.0 million five-year credit facility (the “Credit Facility”) with a syndication of lenders. The Credit Facility, as amended, consists of a $250.0$425.0 million secured facility for letters of credit (the “Secured Facility”) and a $500.0 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). Obligations of each borrower under the Secured Facility for letters of credit are secured by cash and eligible securities of such borrower held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.25 billion. Arch Capital has a one-time option to convert
any or all outstanding revolving loans of Arch Capital and/or Arch-U.S. to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital guarantees the obligations of Arch-U.S. Borrowings of revolving loans may be made at a variable rate based on LIBOR or an alternative base rate at the option of Arch Capital. Arch Capital and its lenders may agree on a LIBOR successor rate at the appropriate time to address the replacement of LIBOR.SOFR. Secured letters of credit are available for issuance on behalf of certain Arch Capital subsidiaries. The CreditAt December 31, 2022, the Secured Facility is structured such that each party that requests a letterhad $323.1 million of letters of credit outstanding and remaining capacity of $101.9 million, and the Unsecured Facility had no outstanding revolving loans or borrowing does so only for itself and its own obligations.letters of credit, with remaining capacity of $500.0 million.
The Credit Facility contains certain restrictive and maintenance covenants customary for facilities of this type, including restrictions on indebtedness, minimum consolidated tangible net worth, minimum shareholders’ equitymaximum leverage levels and minimum financial strength ratings. Arch Capital and its subsidiaries which are party to the agreement were in compliance with all covenants contained therein at December 31, 2019.2022.
Commitments under the Credit Facility will expire on December 17, 2024, and all loans then outstanding must be repaid. Letters of credit issued under the Unsecured Facility will not have an expiration date later than December 17, 2025.
Under the $250.0 million secured letter of credit facility, Arch Capital’s subsidiaries had $225.4 million of letters of credit outstanding and remaining capacity of $24.6 million at December 31, 2019. In addition, certain of Arch Capital’s subsidiaries had outstanding secured and unsecured letters of credit through other facilities of $18.1$24.6 million and $195.0$400.0 million respectively, which were issued in the normal course of business (“LOC Facilities”). The principal purpose of the LOC Facilities is to issue, as required, evergreen standby letters of credit in favor of primary insurance or reinsurance counterparties with which certain of Arch Capital’s subsidiaries has entered into reinsurance arrangements. This is required to ensure that such counterparties are permitted to take credit for reinsurance obtained in United States jurisdictions where such subsidiaries are not licensed or otherwise admitted as an insurer, as required under insurance regulations in the United States, and to comply with requirements of Lloyd’s of London in connection with qualifying quota share and other arrangements. The amount of letters of credit issued is driven by, among other things, the timing and payment of catastrophe losses, loss development of existing reserves, the payment pattern of such reserves, the further expansion of business and the loss experience of such business.
When issued, all secured letters of credit are secured by a portion of the investment portfolio. At December 31, 2019,2022, these letters of credit were secured by investments with a fair value of $255.4$465.2 million.
Watford has access to a $100 million secured letter of credit facility expiring on May 16, 2020, a $100 million unsecured letter of credit facility which auto extends on September 20, 2020 and an $800 million secured credit facility expiring on
November 30, 2021 that provides for borrowings and the issuance of letters of credit not to exceed $400 million. Borrowings of revolving loans may be made by Watford at a variable rate based on LIBOR or an alternative base rate at the option of Watford. At December 31, 2019, Watford had $122.9 million in outstanding letters of credit under the two facilities and $484.3 million of borrowings outstanding under the secured credit facility, backed by Watford’s investment portfolio. Watford was in compliance with all covenants contained in these credit facilities at December 31, 2019. The Company does not guarantee or provide credit support for Watford, and the Company’s financial exposure to Watford is limited to its investment in Watford’s senior notes, common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions.
The Company’shad no outstanding revolving credit agreement borrowings were as follows:
  Year Ended December 31,
 2019 2018
Arch Capital $
 $
Watford 484,287
 455,682
Total $484,287
 $455,682

at December 31, 2022 and 2021.


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NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



Federal Home Loan Bank Membership
Certain subsidiaries of the Company are members of Federal Home Loan Banks (“FHLBs”). Members may borrow from the FHLBs at competitive rates subject to certain conditions. Conditions include maintaining sufficient collateral deposits for funding and a requirement to hold stock in the FHLBs related to both membership and outstanding advances. At December 31, 2022 the Company had no advances outstanding under the FHLB program, compared to $80.0 million of advances outstanding under the FHLB program, which was secured by investments with a fair value of $80.2 million at December 31, 2021. Advances outstanding under the FHLB program are included in ‘other liabilities’ on the Company’s balance sheet.
19.20.    Goodwill and Intangible Assets
The following table shows an analysis of goodwill and intangible assets:
GoodwillIntangible assets (indefinite life)Intangible assets (finite life)Total
Net balance at Dec. 31, 2020$314,629 $79,219 $299,015 $692,863 
Acquisitions (1)31,677 — 318,459 350,136 
Amortization— — (82,955)(82,955)
Impact of deconsolidation of Somers (2)— (7,650)— (7,650)
Foreign currency movements and other adjustments(1,441)(212)(5,758)(7,411)
Net balance at Dec. 31, 2021344,865 71,357 528,761 944,983 
Acquisitions (1)8,389 — — 8,389 
Amortization— — (106,200)(106,200)
Foreign currency movements and other adjustments(11,181)(2,576)(29,126)(42,883)
Net balance at Dec. 31, 2022$342,073 $68,781 $393,435 $804,289 
Gross balance at Dec. 31, 2022$351,231 $70,246 $1,102,298 $1,523,775 
Accumulated amortization— — (678,020)(678,020)
Foreign currency movements and other adjustments(9,158)(1,465)(30,843)(41,466)
Net balance at Dec. 31, 2022$342,073 $68,781 $393,435 $804,289 
 Goodwill Intangible assets (indefinite life) Intangible assets (finite life) Total
Net balance at Dec. 31, 2017$198,236
 $68,174
 $386,201
 $652,611
Acquisitions51,476
 
 43,000
 94,476
Amortization
 
 (105,670) (105,670)
Impairment (1)
 (6,300) 
 (6,300)
Foreign currency movements and other adjustments(92) 
 (105) (197)
Net balance at Dec. 31, 2018249,620
 61,874
 323,426
 634,920
Acquisitions (2)74,780
 24,431
 82,482
 181,693
Amortization
 
 (82,104) (82,104)
Impairment (1)
 (1,000) 
 (1,000)
Foreign currency movements and other adjustments
2,151
 605
 1,817
 4,574
Net balance at Dec. 31, 2019$326,551
 $85,910
 $325,621
 $738,083
        
Gross balance at Dec. 31, 2019$331,448
 $85,305
 $744,583
 $1,161,336
Accumulated amortization
 
 (419,294) (419,294)
Foreign currency movements and other adjustments
(4,897) 605
 332
 (3,959)
Net balance at Dec. 31, 2019$326,551
 $85,910
 $325,621
 $738,083

(1)    See
note 2, “Acquisitions.”
(1)The impairment to the indefinite-lived intangible assets during the year ended December 31, 2019 and 2018 of $1.0 million and $6.3 million related to insurance licenses from the acquisition of UGC.
(2)Certain amounts for the Company’s 2019 acquisitions are considered provisional.
The following table presents the components of goodwill and intangible assets:
 Gross Balance Accumulated
Amortization
 Foreign Currency Translation Adjustment and Other 
Net
Balance
Dec. 31, 2019       
Acquired insurance contracts$452,470
 $(336,559) $310
 $116,221
Operating platform52,674
 (39,571) (259) 12,844
Distribution relationships243,838
 (50,542) 212
 193,508
Goodwill331,448
 
 (4,897) 326,551
Insurance licenses63,390
 
 
 63,390
Syndicate capacity21,915
 
 605
 22,520
Unfavorable service contract(9,533) 8,657
 
 (876)
Other5,134
 (1,279) 70
 3,925
Total$1,161,336
 $(419,294) $(3,959) $738,083
        
Dec. 31, 2018       
Acquired insurance contracts$435,067
 $(271,981) $(150) $162,936
Operating platform47,400
 (35,402) 
 11,998
Distribution relationships186,611
 (36,718) (1,335) 148,558
Goodwill256,668
 
 (7,048) 249,620
Insurance licenses61,874
 
 
 61,874
Syndicate capacity
 
 
 
Unfavorable service contract(9,533) 7,949
 
 (1,584)
Other2,556
 (1,038) 
 1,518
Total$980,643
 $(337,190) $(8,533) $634,920

Gross BalanceAccumulated
Amortization
Foreign Currency Translation Adjustment and OtherNet
Balance
Dec. 31, 2022
Acquired insurance contracts$451,505 $(426,202)$339 $25,642 
Operating platform52,674 (50,302)2,374 
Distribution relationships602,518 (207,908)(31,110)363,500 
Goodwill351,231 — (9,158)342,073 
Insurance licenses48,331 — — 48,331 
Syndicate capacity21,915 — (1,465)20,450 
Unfavorable service contract(9,533)9,533 — — 
Other5,134 (3,141)(74)1,919 
Total$1,523,775 $(678,020)$(41,466)$804,289 
Dec. 31, 2021
Acquired insurance contracts$451,505 $(409,592)$339 $42,252 
Operating platform52,674 (48,838)56 3,892 
Distribution relationships602,518 (120,302)(2,207)480,009 
Goodwill342,842 — 2,023 344,865 
Insurance licenses48,331 — — 48,331 
Syndicate capacity21,915 — 1,111 23,026 
Unfavorable service contract(9,533)9,435 — (98)
Other5,134 (2,542)114 2,706 
Total$1,515,386 $(571,839)$1,436 $944,983 
The estimated remaining amortization expense for the Company’s intangible assets with finite lives is as follows:
2020$65,958
202148,063
202233,972
202331,731
202427,566
2025 and thereafter118,331
Total$325,621

2023$91,605 
202473,366 
202541,060 
202632,091 
202729,268 
2028 and thereafter126,045 
Total$393,435 
The estimated remaining useful lives of these assets range from one to seventeenfourteen years at December 31, 2019.2022.


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Other than the impairments described above, the Company’s annual impairment reviews for goodwill and intangible assets did not result in the recognition of impairment losses for 2019, 2018 and 2017.
20.21.    Shareholders’ Equity
Authorized and Issued
The authorized share capital of Arch Capital consists of 1.8 billion Common Shares, par value of $0.0011 per share, and 50 million Preferred Shares, par value of $0.01 per share.
Common Shares
The following table presents a roll-forward of changes in Arch Capital’s issued and outstanding Common Shares:
Year Ended December 31,
202220212020
Common Shares:
Shares issued and outstanding, beginning of year583,289,850 579,000,841 574,617,195 
Shares issued (1)3,517,399 2,669,229 2,646,164 
Restricted shares issued, net of cancellations1,443,513 1,619,780 1,737,482 
Shares issued and outstanding, end of year588,250,762 583,289,850 579,000,841 
Common shares in treasury, end of year(217,904,765)(204,365,956)(172,280,199)
Shares issued and outstanding, end of year370,345,997 378,923,894 406,720,642 
 Year Ended December 31,
 2019 2018 2017
Common Shares:     
Shares issued and outstanding, beginning of year570,737,283
 549,872,226
 523,932,303
Shares issued (1)2,835,994
 2,757,506
 3,388,344
Conversion of Series D preferred shares (2)
 17,022,600
 21,265,860
Restricted shares issued, net of cancellations1,043,918
 1,084,951
 1,285,719
Shares issued and outstanding, end of year574,617,195
 570,737,283
 549,872,226
Common shares in treasury, end of year(168,997,994) (168,282,449) (156,938,409)
Shares issued and outstanding, end of year405,619,201
 402,454,834
 392,933,817
(1)(1)    Includes shares issued from the exercise of stock options and stock appreciation rights, and shares issued from the employee share purchase plan.
(2)Such shares represent common shares that were issued upon conversion of the non-voting common equivalent preference shares issued in connection with the AIG acquisition.
Three-For-One Common Share Split
In May 2018, shareholders approved a proposal to amend the memorandumexercise of association by sub-dividingstock options and stock appreciation rights, the authorized commonvesting of restricted share units and shares of Arch Capital to effect a 3-for-one split of Arch Capital’s common shares. Theissued from the employee share split changed the Company’s authorized common shares to 1.8 billion common shares (600 million previously), with a par value of $.0011 per share ($.0033 previously). Information pertaining to the composition of the Company’s shareholders’ equity accounts, shares and earnings per share has been retroactively restated in the accompanying financial statements and notes to the consolidated financial statements to reflect the share split.purchase plan.
Share Repurchase Program
The boardBoard of directorsDirectors of Arch Capital (the “Board”) has authorized the investment in Arch Capital’s common shares through a share repurchase program. At December 31, 2019,2022, $1.0 billion of share repurchases were available under the program. Repurchases under the program may be effected from time to time in open market or privately negotiated transactions through December 31, 2021.2024. The timing and amount of the repurchase transactions under this program will depend on a variety of factors, including market conditions and corporate and regulatory considerations.
Repurchases of Arch Capital’s common shares in connection with the share repurchase plan and other share-based transactions were held in the treasury under the cost method, and the cost of the common shares acquired is included in ‘Common shares held in treasury, at cost.’ At December 31, 2019,2022, Arch Capital held 169.0217.9 million shares for an aggregate cost of $2.41$4.4 billion in treasury, at cost.
The Company’s repurchases under the share repurchase program were as follows:
 Year Ended December 31,
 2019 2018 2017
Aggregate cost of shares repurchased$2,871
 $282,762
 $
Shares repurchased110,598
 10,559,850
 
Average price per share repurchased$25.96
 $26.78
 $

Year Ended December 31,
202220212020
Aggregate cost of shares repurchased$585,823 $1,234,294 $83,472 
Shares repurchased12,891,405 31,486,830 2,850,102 
Average price per share repurchased$45.44 $39.20 $29.29 
Since the inception of the share repurchase program through December 31, 2019,2022, Arch Capital has repurchased approximately 386.3433.6 million common shares for an aggregate purchase price of $3.97$5.9 billion.
Convertible Non-Voting Common EquivalentSeries G Preferred Shares
On December 31, 2016, In June 2021, Arch Capital completed a $500 million underwritten public offering of 20.0 million depositary shares
(the Company completed the acquisition“Depositary Shares”), each of allwhich represents a 1/1,000th interest in a share of the outstanding shares of capital stock of UGC. Based upon a formula set forth in the Stock Purchase Agreement, AIG received 1,276,282 of Arch Capital’sits 4.55% Non-Cumulative Preferred Shares, Series D convertible non-voting common equivalent preferred shares (“Series DG, $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Depositary Share) (the “Series G Preferred Shares”). Each Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary,
to a proportional fractional interest in all rights and preferences of the Series DG Preferred Share converts to 10 shares of Arch Capital fully paid non-assessable common stock.Shares represented thereby (including any dividend, liquidation, redemption and voting rights).

Holders of Series G Preferred Shares will be entitled to receive dividend payments only when, as and if declared by the Board or a duly authorized committee of the Board. Any such dividends will be payable from, and including, the date of original issue on a noncumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 4.55%. Dividends on the Series G Preferred Shares are not cumulative. The Company determined, basedwill be restricted from paying dividends on a review of the terms features and rights of the series D preferred shares compared to the rights of the Company’s common shareholders, the underlying 38,288,460or repurchasing its common shares thatunless certain dividend payments are made on the convertible securities convertSeries G Preferred Shares. The Company may not declare or pay a dividend on the Series G Preferred Shares under certain circumstances, including if the Company is or, after giving effect to were common share equivalentssuch payment, would be in breach of applicable individual or group solvency and liquidity requirements or applicable individual or group enhanced capital requirements (“ECR”). The Series G Preferred Shares may not be redeemed at any time if the time of their issuanceECR would be breached immediately before or after giving effect to such redemption, unless the Company replaces the capital represented by preference shares to be redeemed with capital having equal or better capital treatment.
.


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InExcept in specified circumstances relating to certain tax or corporate events, the Series G Preferred Shares are not redeemable prior to June 2017, Arch Capital completed an underwritten public secondary offering11, 2026. On and after that date, the
Series G Preferred Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of 21,265,860 common shares$25,000 per share of the Series G Preferred Shares (equivalent to $25 per depositary share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Depositary Shares will be redeemed if and to the extent the related Series G Preferred Shares are redeemed by AIG following transfer of 708,862the Company. Neither the Depositary Shares nor the Series DG Preferred Shares. In March 2018, Arch Capital completed an underwritten public secondary offering of 17,022,600 common shares by AIG following transfer of 567,420Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series DG Preferred Shares. ProceedsShares are not convertible into any other securities. The Series G Preferred Shares do not have voting rights, except under limited circumstances. The net proceeds from the sale of common shares pursuantSeries G Preferred Share offerings were used to redeem the public offering were received by AIG. At December 31, 2019 and 2018, 0Company’s outstanding 5.25% Series DE Non-Cumulative Preferred Shares were outstanding.Shares.
Series F Preferred Shares
In August 2017 and November 2017, Arch Capital completed combined $330 million of underwritten public offerings ($230 million in August 2017 and $100 million in November 2017) of 13.2 million depositary shares (the “Series F Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 5.45% Non-Cumulative Preferred Shares, Series F, with a $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Series F Depositary Share) (the “Series F Preferred Shares”). Each Series F Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary, to a proportional fractional interest in all rights and preferences of the Series F Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).
Holders of Series F Preferred Shares will be entitled to receive dividend payments only when, as and if declared by our board of directorsthe Board or a duly authorized committee of the board. Any such dividends will be payable from, and including, the date of original issue on a noncumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 5.45%. Dividends on the Series F Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series F Preferred Shares.
Except in specified circumstances relating to certain tax or corporate events, the Series F Preferred Shares are not redeemable prior to August 17, 2022 (the fifth anniversary of the issue date). On and after that date, the Series F Preferred
Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series F Preferred Shares (equivalent to $25 per depositary share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Series F Depositary Shares will be redeemed if and to the extent the related Series F Preferred Shares are redeemed by the Company. Neither the Series F Depositary Shares nor the Series F Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series F Preferred Shares are not convertible into any other securities. The Series F Preferred Shares will not have voting rights, except under limited
circumstances. The net proceeds from the Series F Preferred Share offerings were used to redeem the Company’s outstanding 6.75% Series C Non-Cumulative Preferred Shares.
Series E Preferred Shares
OnIn September, 29, 2016, Arch Capital completed a $450 million underwritten public offering of 18.0 million depositary shares (the “Series E Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 5.25% Non-Cumulative Preferred Shares, Series E, with a $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Series E Depositary Share) (the “Series E Preferred Shares”). Each Series E Depositary Share, evidenced by a depositary receipt, entitles the holder, through the depositary, to a proportional fractional interest in all rights and preferences of the Series E Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).
Holders of Series E Preferred Shares will be entitled to receive dividend payments only when, as and if declared by our board of directors or a duly authorized committee of the board. Any such dividends will be payable from, and including, the date of original issue on a non-cumulative basis, quarterly in arrears on the last day of March, June, September and December of each year, at an annual rate of 5.25%. Dividends on the Series E Preferred Shares are not cumulative. The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made on the Series E preferred shares.
Except in specified circumstances relating to certain tax or corporate events, the Series E Preferred Shares are not redeemable prior to September 29, 2021, (the fifth anniversary of the issue date). On and after that date, the Series E Preferred Shares will be redeemable at the Company’s option, in whole or in part, at a redemption price of $25,000 per share of the Series E Preferred Shares (equivalent to $25 per Series E Depositary Share), plus any declared and unpaid dividends, without accumulation of any undeclared dividends to, but excluding, the redemption date. The Series E Depositary Shares will be redeemed if and to the extent the related Series E Preferred Shares are redeemed by the Company. Neither the Series E Depositary Shares nor the Series E Preferred Shares have a stated maturity, nor will they be subject to any sinking fund or mandatory redemption. The Series E Preferred Shares are not convertible into any other securities. The Series E Preferred Shares will not have voting rights, except under limited circumstances.
Series C Preferred Shares
On January 2, 2018, Arch Capital redeemed all outstanding 6.75%5.25% Series CE non-cumulative preferred shares. The preferred shares were redeemed at a redemption price equal to $25 per share, plus all declared and unpaid dividends to (but excluding)


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the redemption date. In accordance with GAAP, following the redemption, original issuance costs related to such shares have been removed from additional paid-in capital and recorded as a “loss on redemption of preferred shares.” Such adjustment had no impact on total shareholders’ equity or cash flows.
21.22.    Share-Based Compensation
Long Term Incentive and Share Award Plans
The Company utilizes share-based compensation plans for officers, other employees and directors of Arch Capital and its subsidiaries to provide competitive compensation opportunities, to encourage long-term service, to recognize individual contributions and reward achievement of performance goals and to promote the creation of long-term value for shareholders by aligning the interests of such persons with those of shareholders.
The 2022 Long-Term Incentive and Share Award Plan (“the 2022 Plan”) became effective as of May 4, 2022 following approval by shareholders of the Company. The 2022 Plan provides for the issuance of stock options, stock appreciation rights, restricted shares, restricted share units payable in common shares or cash, dividend equivalents, performance shares and performance units and other share-based awards to Arch Capital’s eligible employees and directors. The number of common shares reserved for grants under the 2022 Plan, subject to anti-dilution adjustments in the event of certain changes in Arch Capital’s capital structure, is 9,000,000; provided that no more than 6,000,000 common

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shares may be issued as incentive stock options under Section 422 of the Code. The 2022 Plan will terminate as to future awards on February 25, 2032. At December 31, 2022, 9,000,000 shares are available for future issuance.
The 2018 Long-Term Incentive and Share Award Plan (the “2018 Plan”) became effective as of May 9, 2018 following approval by shareholders of the Company. The 2018 Plan provides for the issuance of restricted stock units, performance units, restricted shares, performance shares, stock options and stock appreciation rights and other equity-based awards to our employees and directors. The 2018 Plan authorizes the issuance of 34,500,000 common shares and will terminate as to future awards on February 28, 2028. At December 31, 2019, 25,201,1432022, 4,577,991 shares are available for future issuance.
The 2015 Long Term Incentive and Share Award Plan (the (“2015 Plan”) authorizes the issuance of 12,900,000 common shares and became effective as of May 7, 2015 following approval by shareholders of the Company. The 2015 Plan provides for the issuance of share-based awards to our employees and directors and will terminate as to future awards on February 26, 2025. At December 31, 2019, 390,1562022, 504,872 shares are available for future issuance.
The 2012 Long Term Incentive and Share Award Plan (the “2012 Plan”) became effective as of May 9, 2012 following approval by shareholders of the Company. The 2012 Plan authorizes the issuance of 22,301,772 common shares and will terminate as to future awards on February 28, 2022. At December 31, 2019, 606,589 shares are available for grant under the 2012 Plan.
Upon shareholder approval on May 6, 2016, the Amended and Restated Arch Capital Group Ltd. 2007 Employee Share Purchase Plan (the “ESPP”) became effective and a total of 4,689,777 common shares were reserved for issuance. The purpose of the ESPP is to give employees of Arch Capital and its subsidiaries an opportunity to purchase common shares through payroll deductions, thereby encouraging employees to share in the economic growth and success of Arch Capital and its subsidiaries. The ESPP is designed to qualify as an “employee share purchase plan” under Section 423 of the Code.
At December 31, 2019, approximately 2,729,7212022, 1,041,837 shares remain available for issuance.
Stock Options and Stock Appreciation Rights
The Company generally issues stock options and SARs to eligible employees, with exercise prices equal to the fair market values of the Company’s Common Shares on the grant dates. Such grants generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.
The grant date fair value is determined using the Black-Scholes option valuation model. The expected life assumption is based on an expected term analysis, which incorporates the Company’s historical exercise experience. Expected volatility is based on the Company’s daily historical trading data of its common shares. The table below summarizes the assumptions used.
 Year Ended December 31,
 2019
2018
2017
Dividend yield% % %
Expected volatility18.1% 21.3% 21.3%
Risk free interest rate2.5% 2.8% 2.0%
Expected option life6.0 years
 6.0 years
 6.0 years

Year Ended December 31,
202220212020
Dividend yield— %— %— %
Expected volatility24.0 %24.2 %16.6 %
Risk free interest rate2.0 %1.0 %1.2 %
Expected option life6.0 years6.0 years6.0 years
A summary of stock option and SAR activity under the Company’s Long Term Incentive and Share Award Plans during 20192022 is presented below:
 Year Ended December 31, 2019
 
Number of
Options / SARs
 Weighted Average Exercise Price Weighted Average Contractual Term Aggregate Intrinsic Value
Outstanding, beginning of year20,076,593
 $19.37
    
Granted1,228,280
 $32.86
    
Exercised(2,355,216) $13.45
    
Forfeited or expired(96,639) $29.19
    
Outstanding, end of year18,853,018
 $20.94
 5.03 $413,842
Exercisable, end of year15,517,508
 $19.05
 4.28 $369,917

Year Ended December 31, 2022
Number of
Options / SARs
Weighted Average Exercise PriceWeighted Average Contractual TermAggregate Intrinsic Value
Outstanding, beginning of year17,083,160 $25.06 
Granted784,963 $47.46 
Exercised(3,412,371)$16.91 
Forfeited or expired(34,851)$39.96 
Outstanding, end of year14,420,901 $28.17 4.37$499,051 
Exercisable, end of year12,433,470 $26.20 3.77$454,769 


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The aggregate intrinsic value of stock options and SARs exercised represents the difference between the exercise price of the stock options and SARs and the closing market price of the Company’s common shares on the exercise dates. During 2019,2022, the Company received proceeds of $13.1$17.2 million from the exercise of stock options and recognized a tax benefit of $6.9$8.7 million from the exercise of stock options and SARs.
Year Ended December 31,Year Ended December 31,
2019 2018 2017202220212020
Weighted average grant date fair value$7.90
 $7.50
 $8.15
Weighted average grant date fair value$13.26 $9.22 $8.14 
Aggregate intrinsic value of Options/SARs exercised$51,350
 $43,468
 $64,173
Aggregate intrinsic value of Options/SARs exercised$113,409 $47,074 $59,723 

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Restricted Common Shares and Restricted Units
The Company also issues restricted share and unit awards to eligible employees and directors, for which the fair value is equal to the fair market values of the Company’s Common Shares on the grant dates. Restricted share and unit awards generally vest over a three year period with one-third vesting on the first, second and third anniversaries of the grant date.
A summary of restricted share and restricted unit activity under the Company’s Long Term Incentive and Share Award Plans for 20192022 is presented below:
Restricted
Common
Shares
 
Restricted
Unit
Awards
Restricted
Common
Shares
Restricted
Unit
Awards
Unvested Shares:   Unvested Shares:
Unvested balance, beginning of year1,619,285
 1,254,558
Unvested balance, beginning of year2,070,837 699,866 
Granted384,926
 810,815
Granted914,694 174,699 
Vested(931,696) (422,021)Vested(744,096)(330,144)
Forfeited(26,594) (80,340)Forfeited(75,881)(27,128)
Unvested balance, end of year1,045,921
 1,563,012
Unvested balance, end of year2,165,554 517,293 
   
Weighted Average Grant Date Fair Value:   Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$28.88
 $27.58
Unvested balance, beginning of year$36.35 $33.29 
Granted$33.43
 $32.64
Granted$47.45 $47.50 
Vested$28.31
 $27.75
Vested$38.21 $34.38 
Forfeited$30.15
 $29.36
Forfeited$41.13 $37.51 
Unvested balance, end of year$31.02
 $30.07
Unvested balance, end of year$40.23 $37.17 

The following table presents the weighted average grant date fair value of restricted shares and restricted unit awards granted and the aggregate fair value of restricted shares and unit awards vesting in each year.
 Year Ended December 31,
 2019 2018 2017
Restricted shares and restricted unit awards granted1,195,741
 1,563,287
 1,747,176
Weighted average grant date fair value$32.89
 $26.86
 $32.02
Aggregate fair value of vested restricted share and unit awards$46,262
 $39,898
 $133,848

Year Ended December 31,
202220212020
Restricted shares and restricted unit awards granted1,089,393 1,261,773 1,535,330 
Weighted average grant date fair value$47.45 $36.12 $37.55 
Aggregate fair value of vested restricted share and unit awards$78,129 $65,477 $39,703 
The aggregate intrinsic value of restricted units outstanding at December 31, 20192022 was $67.0$32.5 million.
Performance Awards
The Company also issues performance share and unit awards (“performance awards”) to eligible employees, which are earned based on the achievement of pre-established threshold, target and maximum goals over three-yearthree-year performance periods. Final payouts depend on the level of achievement along with each employees continued service through the vest date.date, and can vary between 0% and 200%. The grant date fair value of the performance awards is measured using a Monte Carlo simulation model, which incorporated the assumptions summarized in the table below. Expected volatility is based on the Company’s daily historical trading data of its common shares. The cumulative compensation expense recognized and unrecognized as of any reporting period date represents the adjusted estimate of performance shares and units that will ultimately be awarded, valued at their original grant date fair values.
Year Ended December 31,
202220212020
Expected volatility38.1 %37.5 %18.1 %
Risk free interest rate1.7 %0.3 %1.1 %
 Year Ended December 31,
 2019 2018 2017
Expected volatility17.1% 16.2% %
Risk free interest rate2.5% 2.6% %
Performance
Shares
Performance
Units
Unvested Shares:
Unvested balance, beginning of year1,861,760 29,770 
Granted669,742 21,030 
Performance adjustment (1) (2)(54,904)8,921 
Vested(583,544)(19,695)
Forfeited(10,138)(316)
Unvested balance, end of year1,882,916 39,710 
Weighted Average Grant Date Fair Value:
Unvested balance, beginning of year$38.93 $38.71 
Granted$49.91 $49.91 
Performance adjustment (1) (2)$36.07 $35.83 
Vested$36.07 $35.83 
Forfeited$49.91 $49.91 
Unvested balance, end of year$43.75 $45.33 

(1)    The performance adjustment represents the difference between the number of performance shares granted and earned, which vested following the end of the performance period. The performance shares were granted at the maximum level of achievement.
(2)    The performance adjustment represents the change in PSUs, which vested following the end of the performance period. The performance units were granted at the target level of achievement.


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Performance
Shares
 
Performance
Units
Unvested Shares:   
Unvested balance, beginning of year715,328
 12,993
Granted685,586
 10,774
Vested
 
Forfeited
 
Unvested balance, end of year1,400,914
 23,767
    
Weighted Average Grant Date Fair Value:   
Unvested balance, beginning of year$24.77
 $24.71
Granted$36.05
 $35.83
Vested$
 $
Forfeited$
 $
Unvested balance, end of year$30.29
 $29.75

The following table presents the weighted average grant date fair values of performance awards granted.
 Year Ended December 31,
 2019 2018 2017
Performance awards696,360
 743,513
 
Weighted average grant date fair value$36.05
 $24.77
 $

Year Ended December 31,
202220212020
Performance awards690,772 685,104 557,204 
Weighted average grant date fair value$49.91 $37.38 $44.17 
The issuance of share-based awards and amortization thereon has no effect on the Company’s consolidated shareholders’ equity.
Share-Based Compensation Expense
The following tables present pre-tax and after-tax share-based compensation expense recognized as well as the unrecognized compensation cost associated with unvested awards and the weighted average period over which it is expected to be recognized.
 Year Ended December 31,
 2019 2018 2017
Pre-Tax     
Stock options and SARs$12,866
 $16,272
 $18,536
Restricted share and unit awards38,988
 34,025
 46,884
Performance awards8,949
 4,414
 
ESPP3,045
 1,224
 2,443
Total$63,848
 $55,935
 $67,863
      
After-Tax     
Stock options and SARs$11,450
 $14,894
 $16,219
Restricted share and unit awards32,999
 29,044
 37,708
Performance awards8,295
 4,127
 
ESPP2,758
 1,114
 2,171
Total$55,502
 $49,179
 $56,098

Year Ended December 31,
202220212020
Pre-Tax
Stock options and SARs$11,891 $12,316 $11,744 
Restricted share and unit awards50,278 46,817 41,284 
Performance awards21,510 23,696 14,729 
ESPP3,993 3,751 2,135 
Total$87,672 $86,580 $69,892 
After-Tax
Stock options and SARs$10,726 $10,927 $10,388 
Restricted share and unit awards42,346 39,349 34,599 
Performance awards19,794 21,920 13,380 
ESPP3,660 3,471 1,978 
Total$76,526 $75,667 $60,345 
 December 31, 2019
 Stock Options and SARs 
Restricted Common
Shares and Units
 Performance Common Shares and Units
Unrecognized compensation cost related to unvested awards$12,823
 $39,606
 $8,893
Weighted average recognition period (years)1.23
 1.31
 1.06

December 31, 2022
Stock Options and SARsRestricted Common
Shares and Units
Performance Common Shares and Units
Unrecognized compensation cost related to unvested awards$6,357 $42,096 $7,520 
Weighted average recognition period (years)0.751.000.48
22.23.    Retirement Plans
For purposes of providing employees with retirement benefits, the Company maintains defined contribution retirement plans. Contributions are based on the participants’ eligible compensation. For 2019, 20182022, 2021 and 2017,2020, the Company expensed $44.8$67.0 million, $40.8$60.4 million and $40.7$52.0 million, respectively, related to these retirement plans.
23.24.    Legal Proceedings
The Company, in common with the insurance industry in general, is subject to litigation and arbitration in the normal course of its business. As of December 31, 2019,2022, the Company was not a party to any litigation or arbitration which is expected by management to have a material adverse effect on the Company’s results of operations and financial condition and liquidity.



25.    Statutory Information
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24.    Statutory Information
The Company’s insurance and reinsurance subsidiaries are subject to insurance and/or reinsurance laws and regulations in the jurisdictions in which they operate. These regulations include certain restrictions on the amount of dividends or other distributions available to shareholders without prior approval of the insurance regulatory authorities.
The actual and required statutory capital and surplus for the Company’s principal operating subsidiaries at December 31, 20192022 and 2018:2021:
December 31,
20222021
Actual capital and surplus (1):
Bermuda$19,546,128 $17,528,510 
Ireland968,443 958,200 
United States6,194,954 5,600,652 
United Kingdom1,018,092 902,002 
Canada68,637 70,063 
Australia284,998 283,693 
Required capital and surplus:
Bermuda$6,449,878 $5,661,301 
Ireland815,194 794,933 
United States1,748,543 1,717,646 
United Kingdom543,104 563,164 
Canada47,825 42,513 
Australia175,885 214,022 
(1)Such amounts include ownership interests in affiliated insurance and reinsurance subsidiaries.

 December 31,
 2019 2018
Actual capital and surplus (1):   
Bermuda$13,511,729
 $11,605,652
Ireland721,439
 653,055
United States4,440,848
 4,195,477
United Kingdom748,276
 386,892
Canada61,351
 59,096
    
Required capital and surplus:   
Bermuda$5,492,968
 $4,718,345
Ireland542,703
 429,117
United States1,697,640
 1,783,268
United Kingdom349,328
 271,864
Canada32,763
 33,189
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There were no state-prescribed or permitted regulatory accounting practices for any of the Company’s insurance or reinsurance entities that resulted in reported statutory surplus that differed from that which would have been reported under the prescribed practices of the respective regulatory authorities, including the National Association of Insurance Commissioners. The differences between statutory financial statements and statements prepared in accordance with GAAP vary by jurisdiction, however, with the primary differences being that statutory financial statements may not reflect deferred acquisition costs, certain net deferred tax assets, goodwill and intangible assets, unrealized appreciation or depreciation on debt securities and certain unauthorized reinsurance recoverables and include contingency reserves.
The statutory net income (loss) for the Company’s principal operating subsidiaries for 2019, 20182022, 2021 and 20172020 was as follows:
 Year Ended December 31,
 2019 2018 2017
Statutory net income (loss):     
Bermuda$1,876,416
 $919,554
 $881,665
Ireland26,367
 29,223
 (14,438)
United States481,188
 292,831
 500,412
United Kingdom(17,423) (18,467) (33,257)
Canada(1,023) 2,525
 158

Year Ended December 31,
202220212020
Statutory net income (loss):
Bermuda$1,729,925 $2,370,746 $1,579,889 
Ireland(52,757)25,191 18,397 
United States219,524 345,790 143,271 
United Kingdom56,818 35,286 4,078 
Canada9,215 6,985 (1,049)
Australia38,538 11,874 (8,601)
Bermuda
The Company has twoCompany’s Bermuda based subsidiaries:insurance and reinsurance subsidiaries are subject to the Bermuda Insurance Act 1978 and related regulations, each as amended (the “Insurance Act”). Arch Re Bermuda, the Company’s principal reinsurance and insurance subsidiary, is registered as a Class 4 insurer and long-term insurer and Watford,while Arch Group Reinsurance Ltd. (“AGRL”) is registered as a Class 4 insurer. Under the Bermuda3A general business insurer and provides affiliated quota share reinsurance covering certain U.S. business. The Insurance Act 1978 (the “Insurance Act”), these subsidiaries are required torequires that both entities maintain minimum statutory capital and surplus equal to the greater of a minimum solvency margin and the enhanced capital requirement (“ECR”) as determined by the Bermuda Monetary Authority (“BMA”). The enhanced capital requirementECR is calculated based on the Bermuda Solvency Capital Requirement model, a risk-based model that takes into account the risk characteristics of different aspects of the company’s business. At December 31, 20192022 and 2018, all such requirements2021, the actual and required capital and surplus were met.based on the economic balance sheet requirements.

The ability of these subsidiaries to pay dividends is limited under Bermuda law and regulations. Under the Insurance Act, Arch Re Bermuda isand AGRL are restricted with respect to the payment of dividends. Arch Re BermudaEach entity is prohibited from declaring or paying in any financial year dividends of more than 25% of its total statutory capital and surplus (as shown on its previous financial year’s
statutory balance sheet) unless it files, at least seven days before payment of such dividends, with the Bermuda Monetary AuthorityBMA an affidavit stating that it will continue to meet the required margins following the declaration of those dividends. Accordingly, Arch Re Bermuda can pay approximately $3.10$3.7 billion to Arch Capital during 20202023 without providing an affidavit to the BMA. Dividends or distributions, if any, made by AGRL would result in an increase in available capital at Arch-U.S.
Ireland
The Company has 2three Irish subsidiaries: Arch Re Europe, an authorized life and non-life reinsurer, and Arch Insurance (EU), an authorized non-life insurer.insurer and Arch Underwriting Europe, a registered insurance and reinsurance intermediary. Irish authorized reinsurers and insurers, such as Arch Re Europe, and Arch Insurance (EU), and Irish intermediaries, such as Arch Underwriters Europe, are also subject to the general body of Irish laws and regulations including the provisions of the Companies Act 2014. As part of the Company’s Brexit plan, Arch Insurance (EU) received approval from the Central Bank of Ireland (“CBI”) to expand the nature of its business in 2019 commenced writing insurance lines in the European Economic Area in 2020, and the Part VII Transfer was completed at the end of December 2020. Arch Re Europe, and Arch Insurance (EU) and Arch Underwriters Europe are subject to the supervision of the Central Bank of Ireland (“CBOI”)CBI and must comply with Irish insurance acts and regulations as well as with directions and guidance issued by the CBOI. These subsidiariesCBI. Arch Re Europe and Arch Insurance (EU) are


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required to maintain a minimum level of capital. At December 31, 20192022 and 2018,2021, these requirements were met.

The amount of dividends these subsidiaries are permitted to declare is limited to accumulated, realized profits, so far as not previously utilized by distribution or capitalization, less its accumulated, realized losses, so far as not previously written off in a reduction or reorganization of capital duly made. The solvency and capital requirements must still be met following any distribution. Dividends or distributions, if any, made by Arch Re Europe would result in an increase in available capital at Arch Re Bermuda.

United States
The Company’s U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulations in the jurisdictions in which they operate. The ability of the Company’s regulated insurance subsidiaries to pay dividends or make distributions is dependent on their ability to meet applicable regulatory standards. These regulations include restrictions that limit the amount of dividends or other distributions, such as loans or cash advances, available to shareholders without prior approval of the insurance regulatory authorities.


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Dividends or distributions, if any, made by Arch Re U.S. would result in an increase in available capital at Arch-U.S., the Company’s U.S. holding company. Arch Re U.S. can declare a maximum of approximately $130.2$255.4 million of dividends during 20202023 subject to the approval of the Commissioner of the Delaware Department of Insurance.
Arch Mortgage Insurance CompanyAMIC and United Guaranty Residential Insurance Company have each beenUGRIC are approved as an eligible mortgage insurerinsurers by Fannie Mae and Freddie Mac, subject to maintaining certain ongoing requirements (“eligible mortgage insurers”). In April 2015, the GSEs published their original comprehensive, revised requirements, known as the Private Mortgage Insurer Eligibility Requirements or “PMIERs.” AsRevised and restated in September 2018, and clarified and revisedthereafter by the Guidance Letters 2020-1 and 2021-1 issued by the GSEs in December 20162020 and March 2017,2021, respectively, the PMIERs apply to the Company’s eligible mortgage insurers, but do not apply to Arch Mortgage Guaranty Company,AMG, which is not GSE-approved.
The amount of assets required to satisfy the revised financial requirements of the PMIERs at any point in time willmay be affected by many factors, including macro-economic conditions, the size and composition of our eligible mortgage insurers’ mortgage insurance portfolio, at the point in time, and the amount of risk ceded to reinsurers that may be deducted in our calculation of “minimum required assets.”
The Company’s U.S. mortgage insurance subsidiaries are subject to detailed regulation by their domiciliary and primary regulators, the Wisconsin Office of the Commissioner of Insurance (“Wisconsin OCI”) for Arch Mortgage Insurance
CompanyAMIC and Arch Mortgage Guaranty Company,AMG, the North Carolina Department of Insurance (“NC DOI”) for United Guaranty Residential Insurance Company,UGRIC, and by state insurance departments in each state in which they are licensed. As mandated by state insurance laws, mortgage insurers are generally mono-line companies restricted to writing a single type of insurance business, such as mortgage insurance business.companies. Each company is subject to either Wisconsin or North Carolinathe statutory requirements of their domiciliary regulator as to payment of dividends. Generally, both Wisconsindividends and North Carolina law precludes any dividend before giving at least 30 days’ notice to the Wisconsin OCI or NC DOI, as applicable, and prohibits paying any dividend unless it is fair and reasonable to do so. In addition, the state regulators andreturn of capital; the GSEs limit or restrict ourmay also impartlimitations on the Company’s eligible mortgage insurers’ ability to pay stockholder dividends or otherwise return capital to shareholders.insurers, such as required minimum assets. Under respective statesstate law, ourthe Company’s U.S. mortgage subsidiaries can declare a maximum of approximately $338.9$156.5 million of ordinary dividends in 2020,2023, however, dividend capacity is limited by the respective companies unassigned surplus amounts. As of December 31, 2019,Such dividends would increase the combined unassigned surplus amount of our U.S. mortgage insurance entities would limit the dividend capacity to $177.8 million. In certain instances, approval by the GSEs would be required for dividends or other forms of return of capital to shareholders due to the requirements under PMIERs, including the minimum required assets imposed on our eligible mortgage insurers by the GSEs. Such dividend would result in an increase in available capital at Arch U.S. MI Holdings Inc., a subsidiary of Arch-U.S.
Mortgage insurance companies licensed in Wisconsin or North Carolina are required to establish contingency loss reserves for purposes of statutory accounting in an amount equal to at least 50% of net earned premiums. These amounts generally cannot be withdrawn for a period of 10 years and are separate liabilities for statutory accounting purposes, which affects the ability to pay dividends. However, with prior regulatory approval, a mortgage insurance company may make early withdrawals from the contingency reserve
when incurred losses exceed 35% of net premiums earned in a calendar year.
Under Wisconsin and North Carolina law, as well as that of 14 other states, a mortgage insurer must maintain a minimum amount of statutory capital relative to its risk in force in order for the mortgage insurer to continue to write new business. While formulations of minimum capital vary in certain jurisdictions, the most common measure applied allows for a maximum risk-to-capital ratio of 25 to 1. Wisconsin and North Carolina both require a mortgage insurerinsurers to maintain a “minimum policyholder position” calculated in accordance with their respective regulations. Policyholders' position consists primarily of statutory policyholders' surplus plus the statutory contingency reserve, less ceded reinsurance. While the statutory contingency reserve is reported as a liability on the statutory balance sheet, for risk-to-capital ratio calculations, it is included as capital for purposes of statutory capital.loss reserves.


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United Kingdom
The Prudential Regulation Authority (“PRA”) and the Financial Conduct Authority (“FCA”) regulate insurance and reinsurance companies and the FCA regulates firms carrying on insurance mediation activities operating in the U.K., both under the Financial Services and Markets Act 2000. The Company’s European insurance operations are conducted throughIn May 2004, Arch Insurance (U.K.), was granted the relevant permissions for the classes of insurance business which it underwrites in the U.K. AMAL currently manages Arch Syndicate 2012 and Barbican Syndicate 1955. Arch Syndicate 2012 has one corporate member, Arch Syndicate Investments Ltd. (“ASIL”),1955 pursuant to its authorizations by the U.K. regulators and is managed by Arch Underwriting at Lloyd’s Ltd (“AUAL”). The syndicates managed by BMAL have 11 corporate members. BMAL is the managing agent of Barbican Syndicate 1955. Arch Syndicate 2012 and Barbican Syndicate 1955 provide access to Lloyd’s extensive distribution network and worldwide licenses.Lloyd’s. All U.K. companies are also subject to a range of statutory provisions, including the laws and regulations of the Companies ActsAct 2006 (as amended) (the “U.K. Companies Acts”Act”).
Arch Insurance (U.K.), AUAL (on behalf of itself, Arch Syndicate 2012 and ASIL) and BMALAMAL must maintain a margin of solvency at all times under the Solvency II Directive from the European Insurance and Occupational Pensions Authority. The regulations stipulate that insurers are required to maintain the minimum capital requirement and solvency capital requirement at all times. The capital requirements are calculated by reference to standard formulae defined in Solvency II. At December 31, 20192022 and 2018, our subsidiaries2021, these requirements were in compliance with these requirements.

met.
As corporate members of Lloyd’s, ASILAMAL (as managing agent of the Company’s Lloyd’s Syndicates) and otherseach syndicate’s respective corporate members are subject to the oversight of the Council of Lloyd’s. The capital required to support a Syndicate’s underwriting capacity, or funds at Lloyd’s, is assessed annually and is determined by Lloyd’s in accordance with the capital adequacy rules established by the PRA. The Company has provided capital to support the underwriting of Arch Syndicate 2012 and BarbicanArch Syndicate 1955 in the form of pledged assets and letters of credit provided by Arch Re Bermuda. The amount which the Company provides as funds at Lloyd’s is not available for distribution to the Company for the payment of dividends. Lloyd’s is supervised by the PRA and required to implement certain rules prescribed by the PRA under the Lloyd’s Act of 1982 regarding the operation of the Lloyd’s market. With

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respect to managing agents and corporate members, Lloyd’s prescribes certain minimum standards relating to management and control, solvency and other
requirements and monitors managing agents’ compliance with such standards.
Under U.K. law, all U.K. companies are restricted from declaring a dividend to their shareholders unless they have “profits available for distribution.” The calculation as to whether a company has sufficient profits is based on its accumulated realized profits minus its accumulated realized losses. U.K. insurance regulatory laws do not prohibit the payment of dividends, but the PRA or FCA, as applicable, requires that insurance companies and insurance intermediaries maintain certain solvency margins and may restrict the payment of a dividend by Arch Insurance (U.K.), AUAL, ASIL and BMAL.AMAL.
Canada
Arch Insurance Canada and the Canadian branch of Arch Re U.S. (“Arch Re Canada”) are subject to federal, as well as provincial and territorial, regulation in Canada. The Office of the Superintendent of Financial Institutions (“OSFI”) is the federal regulatory body that, under the Insurance Companies Act (Canada), regulates federal Canadian and non-Canadian insurance companies operating in Canada. Arch Insurance Canada and Arch Re Canada are subject to regulation in the provinces and territories in which they underwrite insurance/reinsurance, and the primary goal of insurance/reinsurance regulation at the provincial and territorial levels is to govern the market conduct of insurance/reinsurance companies. Arch Insurance Canada is licensed to carry on insurance business by OSFI and in each province and territory. Arch Re Canada is licensed to carry-on reinsurance business by OSFI and in the provinces of Ontario and Quebec.
Under the Insurance Companies Act (Canada), Arch Insurance Canada is required to maintain an adequate amount of capital in Canada, calculated in accordance with a test promulgated by OSFI called the Minimum Capital Test (“MCT”), and Arch Re Canada is required to maintain an adequate margin of assets over liabilities in Canada, calculated in accordance with a test promulgated by OSFI called the Branch Adequacy of Assets Test. DividendsUnder the Insurance Companies Act (Canada), approval of the Minister of Finance (Canada) is required in connection with certain acquisitions of shares of, or distributions, if any, made bycontrol of, Canadian insurance companies such as Arch Insurance Canada, would resultand notice to and/or approval of OSFI is required in an increase in available capital atconnection with the payment of dividends by or redemption of shares by Canadian insurance companies such as Arch Insurance Company (see “—United States” section).Canada.

Australia
The Australian Prudential Regulation Authority (“APRA”) is an independent statutory authority responsible for prudential supervision of institutions across banking, insurance and superannuation and promotes financial stability in Australia. Arch Indemnity has been authorized to conduct monoline lenders’ mortgage insurance business in Australia since June 2002 and was acquired by Arch Capital on August 30, 2021 and since that date is the primary provider of lenders’ mortgage insurance for the group. Arch Indemnity has also been licensed by the Australian Securities and Investments Commission (“ASIC”) since March 2011 to engage in credit activities in Australia. Arch LMI Pty Ltd. (“Arch LMI”) was formerly authorized by APRA in January 2019 to conduct monoline lenders’ mortgage insurance business in Australia; however, in December 2022, we converted Arch LMI to a services company for our Australian lenders mortgage insurance operations and the company relinquished its APRA authorization. Major regulatory requirements that are applicable to Arch Indemnity in general as an insurance provider and financial institution in Australia include requirements and compliance with minimum capital levels; risk management strategy; corporate governance standards, privacy legislation on the collection, use and storage of personal information; cyber security obligations imposed by APRA and ASIC; modern slavery legislation; anti-money laundering and counter-terrorism legislation. At December 31, 2022 and 2021, these requirements were met.
Arch Capital also conducts property and casualty insurance business in Australia through the Company’s Lloyd’s platform. This insurance business is managed by and distributed through local coverholders and is subject to Lloyd’s Supervision. In addition, the business is subject to local Australian prudential regulatory oversight by APRA, and additional separate financial services market conduct regulation by the Australian Securities and Investments Commission.


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25.    Unaudited Condensed Quarterly Financial Information
The following table summarizes the 2019 and 2018 unaudited condensed quarterly financial information:
 
Fourth
Quarter
 
Third
Quarter
 
Second
Quarter
 
First
Quarter
Year Ended December 31, 2019       
Net premiums written$1,455,453
 $1,613,457
 $1,444,898
 $1,525,259
Net premiums earned1,515,882
 1,438,023
 1,463,727
 1,368,866
Net investment income154,263
 161,488
 155,038
 156,949
Net realized gains (losses)41,474
 62,518
 120,806
 141,565
Net impairment losses recognized in earnings(644) (1,163) (49) (1,309)
Underwriting income (loss)251,421
 231,262
 293,134
 260,148
Net income (loss) attributable to Arch326,384
 392,453
 468,954
 448,528
Preferred dividends(10,403) (10,403) (10,403) (10,403)
Net income (loss) available to Arch common shareholders315,981
 382,050
 458,551
 438,125
Net income (loss) per common share -- basic$0.78
 $0.95
 $1.14
 $1.09
Net income (loss) per common share -- diluted$0.76
 $0.92
 $1.12
 $1.07
        
Year Ended December 31, 2018       
Net premiums written$1,301,754
 $1,333,553
 $1,298,896
 $1,412,544
Net premiums earned1,369,435
 1,290,878
 1,336,763
 1,234,899
Net investment income157,217
 144,024
 135,668
 126,724
Net realized gains (losses)(166,030) (51,705) (76,611) (110,998)
Net impairment losses recognized in earnings(1,705) (492) (470) (162)
Underwriting income (loss)166,955
 234,581
 235,465
 236,997
Net income (loss) attributable to Arch136,494
 227,408
 243,646
 150,423
Preferred dividends(10,403) (10,402) (10,403) (10,437)
Net income (loss) available to Arch common shareholders126,091
 217,006
 233,243
 137,276
Net income (loss) per common share -- basic$0.31
 $0.54
 $0.58
 $0.34
Net income (loss) per common share -- diluted$0.31
 $0.53
 $0.56
 $0.33



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26.    Guarantor Financial Information
The following tables present condensed consolidating balance sheets at December 31, 2019 and 2018 and condensed consolidating statements of income, comprehensive income and cash flows for 2019, 2018 and 2017 for Arch Capital, Arch-U.S., a 100% owned subsidiary of Arch Capital, and Arch Capital's other subsidiaries.
 December 31, 2019
Condensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Assets         
Total investments$42
 $692,606
 $23,748,432
 $(38,834) $24,402,246
Cash18,113
 54,518
 653,599
 
 726,230
Investments in subsidiaries11,786,861
 4,347,806
 
 (16,134,667) 
Due from subsidiaries and affiliates17
 200,635
 1,901,865
 (2,102,517) 
Premiums receivable
 
 2,547,130
 (768,413) 1,778,717
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 9,711,773
 (5,364,957) 4,346,816
Contractholder receivables
 
 2,119,460
 
 2,119,460
Ceded unearned premiums
 
 2,230,164
 (995,481) 1,234,683
Deferred acquisition costs
 
 675,917
 (42,517) 633,400
Goodwill and intangible assets
 
 738,083
 
 738,083
Other assets20,461
 32,187
 1,981,598
 (128,520) 1,905,726
Total assets$11,825,494
 $5,327,752
 $46,308,021
 $(25,575,906) $37,885,361
          
Liabilities         
Reserve for losses and loss adjustment expenses$
 $
 $19,028,538
 $(5,136,696) $13,891,842
Unearned premiums
 
 5,335,030
 (995,481) 4,339,549
Reinsurance balances payable
 
 1,435,485
 (768,413) 667,072
Contractholder payables
 
 2,119,460
 
 2,119,460
Collateral held for insured obligations
 
 206,698
 

 206,698
Senior notes297,254
 494,831
 1,114,541
 (35,000) 1,871,626
Revolving credit agreement borrowings
 
 484,287
 
 484,287
Due to subsidiaries and affiliates
 536,805
 1,565,712
 (2,102,517) 
Other liabilities30,869
 33,267
 2,324,793
 (399,654) 1,989,275
Total liabilities328,123
 1,064,903
 33,614,544
 (9,437,761) 25,569,809
          
Redeemable noncontrolling interests
 
 58,882
 (3,478) 55,404
          
Shareholders' Equity         
Total shareholders' equity available to Arch11,497,371
 4,262,849
 11,871,818
 (16,134,667) 11,497,371
Non-redeemable noncontrolling interests
 
 762,777
 
 762,777
Total shareholders' equity11,497,371
 4,262,849
 12,634,595
 (16,134,667) 12,260,148
          
Total liabilities, noncontrolling interests and shareholders' equity$11,825,494
 $5,327,752
 $46,308,021
 $(25,575,906) $37,885,361



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 December 31, 2018
Condensed Consolidating Balance SheetArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Assets         
Total investments$104
 $452,674
 $21,307,206
 $(14,700) $21,745,284
Cash6,125
 5,940
 634,491
 
 646,556
Investments in subsidiaries9,735,256
 3,999,243
 
 (13,734,499) 
Due from subsidiaries and affiliates9
 2
 1,802,686
 (1,802,697) 
Premiums receivable
 
 1,834,389
 (535,239) 1,299,150
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 8,618,660
 (5,699,288) 2,919,372
Contractholder receivables
 
 2,079,111
 
 2,079,111
Ceded unearned premiums
 
 1,730,262
 (754,793) 975,469
Deferred acquisition costs
 
 618,535
 (48,961) 569,574
Goodwill and intangible assets
 
 634,920
 
 634,920
Other assets12,588
 80,949
 1,466,438
 (211,082) 1,348,893
Total assets$9,754,082
 $4,538,808
 $40,726,698
 $(22,801,259) $32,218,329
          
Liabilities         
Reserve for losses and loss adjustment expenses$
 $
 $17,345,142
 $(5,491,845) $11,853,297
Unearned premiums
 
 4,508,429
 (754,793) 3,753,636
Reinsurance balances payable
 
 928,346
 (535,239) 393,107
Contractholder payables
 
 2,079,111
 
 2,079,111
Collateral held for insured obligations
 
 236,630
 
 236,630
Senior notes297,150
 494,723
 941,655
 
 1,733,528
Revolving credit agreement borrowings
 
 455,682
 
 455,682
Due to subsidiaries and affiliates
 536,805
 1,265,892
 (1,802,697) 
Other liabilities17,105
 26,270
 1,699,768
 (467,484) 1,275,659
Total liabilities314,255
 1,057,798
 29,460,655
 (9,052,058) 21,780,650
          
Redeemable noncontrolling interests
 
 220,992
 (14,700) 206,292
          
Shareholders' Equity         
Total shareholders' equity available to Arch9,439,827
 3,481,010
 10,253,491
 (13,734,501) 9,439,827
Non-redeemable noncontrolling interests
 
 791,560
 
 791,560
Total shareholders' equity9,439,827
 3,481,010
 11,045,051
 (13,734,501) 10,231,387
          
Total liabilities, noncontrolling interests and shareholders' equity$9,754,082
 $4,538,808
 $40,726,698
 $(22,801,259) $32,218,329




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 Year Ended December 31, 2019
Condensed Consolidating Statement of Income and Comprehensive IncomeArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Revenues         
Net premiums earned$
 $
 $5,786,498
 $
 $5,786,498
Net investment income212
 14,270
 706,038
 (92,782) 627,738
Net realized gains (losses)
 25,313
 352,771
 (11,721) 366,363
Net impairment losses recognized in earnings
 
 (3,165) 
 (3,165)
Other underwriting income
 
 24,861
 
 24,861
Equity in net income (loss) of investments accounted for using the equity method
 779
 122,893
 
 123,672
Other income (loss)(762) 
 2,995
 
 2,233
Total revenues(550) 40,362
 6,992,891
 (104,503) 6,928,200
          
Expenses         
Losses and loss adjustment expenses
 
 3,133,452
 
 3,133,452
Acquisition expenses
 
 840,945
 
 840,945
Other operating expenses
 
 800,997
 
 800,997
Corporate expenses62,701
 7,221
 10,189
 
 80,111
Amortization of intangible assets
 
 82,104
 
 82,104
Interest expense22,154
 47,951
 142,662
 (91,895) 120,872
Net foreign exchange (gains) losses1
 
 22,188
 (1,580) 20,609
Total expenses84,856
 55,172
 5,032,537
 (93,475) 5,079,090
          
Income (loss) before income taxes(85,406) (14,810) 1,960,354
 (11,028) 1,849,110
Income tax (expense) benefit
 3,696
 (159,506) 
 (155,810)
Income (loss) before equity in net income of subsidiaries(85,406) (11,114) 1,800,848
 (11,028) 1,693,300
Equity in net income of subsidiaries1,721,725
 564,657
 
 (2,286,382) 
Net income1,636,319
 553,543
 1,800,848
 (2,297,410) 1,693,300
Net (income) loss attributable to noncontrolling interests
 
 (57,868) 887
 (56,981)
Net income available to Arch1,636,319
 553,543
 1,742,980
 (2,296,523) 1,636,319
Preferred dividends(41,612) 
 
 
 (41,612)
Net income available to Arch common shareholders$1,594,707
 $553,543
 $1,742,980
 $(2,296,523) $1,594,707
          
Comprehensive income (loss) available to Arch$2,027,129
 $751,210
 $2,124,455
 $(2,875,665) $2,027,129


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 Year Ended December 31, 2018
Condensed Consolidating Statement of Income and Comprehensive IncomeArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Revenues         
Net premiums earned$
 $
 $5,231,975
 $
 $5,231,975
Net investment income49
 3,902
 649,394
 (89,712) 563,633
Net realized gains (losses)29
 (2,676) (410,014) 7,317
 (405,344)
Net impairment losses recognized in earnings
 
 (2,829) 
 (2,829)
Other underwriting income
 
 15,073
 
 15,073
Equity in net income (loss) of investments accounted for using the equity method
 
 45,641
 
 45,641
Other income (loss)1,918
 
 501
 
 2,419
Total revenues1,996
 1,226
 5,529,741
 (82,395) 5,450,568
          
Expenses         
Losses and loss adjustment expenses
 
 2,890,106
 
 2,890,106
Acquisition expenses
 
 805,135
 
 805,135
Other operating expenses
 
 677,809
 
 677,809
Corporate expenses64,279
 2,422
 12,293
 
 78,994
Amortization of intangible assets
 
 105,670
 
 105,670
Interest expense22,147
 48,103
 138,672
 (88,438) 120,484
Net foreign exchange (gains) losses30
 
 (59,607) (9,825) (69,402)
Total expenses86,456
 50,525
 4,570,078
 (98,263) 4,608,796
          
Income (loss) before income taxes(84,460) (49,299) 959,663
 15,868
 841,772
Income tax (expense) benefit
 13,314
 (127,265) 
 (113,951)
Income (loss) before equity in net income of subsidiaries(84,460) (35,985) 832,398
 15,868
 727,821
Equity in net income of subsidiaries842,431
 388,260
 
 (1,230,691) 
Net income757,971
 352,275
 832,398
 (1,214,823) 727,821
Net (income) loss attributable to noncontrolling interests
 
 28,875
 1,275
 30,150
Net income available to Arch757,971
 352,275
 861,273
 (1,213,548) 757,971
Preferred dividends(41,645) 
 
 
 (41,645)
Loss on repurchase of preferred shares(2,710) 
 
 
 (2,710)
Net income available to Arch common shareholders$713,616
 $352,275
 $861,273
 $(1,213,548) $713,616
          
Comprehensive income (loss) available to Arch$611,003
 $292,973
 $730,828
 $(1,023,801) $611,003


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2017
Condensed Consolidating Statement of Income and Comprehensive IncomeArch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Revenues         
Net premiums earned$
 $
 $4,844,532
 $
 $4,844,532
Net investment income243
 1,420
 559,963
 (90,754) 470,872
Net realized gains (losses)
 
 149,141
 
 149,141
Net impairment losses recognized in earnings
 
 (7,138) 
 (7,138)
Other underwriting income
 
 30,253
 
 30,253
Equity in net income (loss) of investments accounted for using the equity method
 
 142,286
 
 142,286
Other income (loss)(482) 
 (2,089) 
 (2,571)
Total revenues(239) 1,420
 5,716,948
 (90,754) 5,627,375
          
Expenses         
Losses and loss adjustment expenses
 
 2,967,446
 
 2,967,446
Acquisition expenses
 
 775,458
 
 775,458
Other operating expenses
 
 684,451
 
 684,451
Corporate expenses67,450
 4,152
 12,150
 
 83,752
Amortization of intangible assets
 
 125,778
 
 125,778
Interest expense23,560
 47,993
 135,342
 (89,464) 117,431
Net foreign exchange (gains) losses2
 
 68,900
 46,880
 115,782
Total expenses91,012
 52,145
 4,769,525
 (42,584) 4,870,098
          
Income (loss) before income taxes(91,251) (50,725) 947,423
 (48,170) 757,277
Income tax (expense) benefit
 10,333
 (137,901) 
 (127,568)
Income (loss) before equity in net income of subsidiaries(91,251) (40,392) 809,522
 (48,170) 629,709
Equity in net income of subsidiaries710,529
 303,991
 
 (1,014,520) 
Net income619,278
 263,599
 809,522
 (1,062,690) 629,709
Net (income) loss attributable to noncontrolling interests
 
 (11,721) 1,290
 (10,431)
Net income available to Arch619,278
 263,599
 797,801
 (1,061,400) 619,278
Preferred dividends(46,041) 
 
 
 (46,041)
Loss on repurchase of preferred shares(6,735) 
 
 
 (6,735)
Net income available to Arch common shareholders$566,502
 $263,599
 $797,801
 $(1,061,400) $566,502
          
Comprehensive income (loss) available to Arch$851,863
 $288,752
 $983,475
 $(1,272,227) $851,863



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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2019
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
Net Cash Provided By (Used For)
Operating Activities
$52,487
 $486,252
 $2,138,195
 $(628,475) $2,048,459
Investing Activities         
Purchases of fixed maturity investments
 (878,577) (29,347,333) 172,133
 (30,053,777)
Purchases of equity securities
 (155,890) (726,820) 70,743
 (811,967)
Purchases of other investments
 (28,490) (1,442,055) 
 (1,470,545)
Proceeds from the sales of fixed maturity investments
 806,603
 27,937,616
 (148,354) 28,595,865
Proceeds from the sales of equity securities
 7,441
 493,120
 (70,743) 429,818
Proceeds from the sales, redemptions and maturities of other investments
 1,634
 1,207,925
 
 1,209,559
Proceeds from redemptions and maturities of fixed maturity investments
 
 643,265
 
 643,265
Net settlements of derivative instruments
 
 59,982
 
 59,982
Net (purchases) sales of short-term investments61
 34,372
 5,400
 
 39,833
Change in cash collateral related to securities lending
 
 (62,193) 
 (62,193)
Contributions to subsidiaries(2,121) (6,000) (57,039) 65,160
 
Issuance of intercompany loans
 (200,000) (87,783) 287,783
 
Purchases of fixed assets(162) 
 (37,675) 
 (37,837)
Other
 (18,767) (329,719) 
 (348,486)
Net Cash Provided By (Used For)
Investing Activities
(2,222) (437,674) (1,743,309) 376,722
 (1,806,483)
Financing Activities         
Purchases of common shares under share repurchase program(2,871) 
 
 
 (2,871)
Proceeds from common shares issued, net6,203
 
 65,160
 (65,160) 6,203
Proceeds from intercompany borrowings
 
 287,783
 (287,783) 
Proceeds from borrowings
 
 235,083
 (35,000) 200,083
Repayments of borrowings
 
 (49,182) 
 (49,182)
Change in cash collateral related to securities lending
 
 62,193
 
 62,193
Change in third party investment in non-redeemable noncontrolling interests
 
 (75,056) 
 (75,056)
Change in third party investment in redeemable noncontrolling interests
 
 (173,103) 11,221
 (161,882)
Dividends paid to redeemable noncontrolling interests
 
 (13,402) 887
 (12,515)
Dividends paid to parent (1)
 
 (627,588) 627,588
 
Other
 
 (6,023) 
 (6,023)
Preferred dividends paid(41,612) 
 
 
 (41,612)
Net Cash Provided By (Used For)
Financing Activities
(38,280) 
 (294,135) 251,753
 (80,662)
Effects of exchange rate changes on foreign currency cash and restricted cash
 
 17,741
 
 17,741
Increase (decrease) in cash and restricted cash11,985
 48,578
 118,492
 
 179,055
Cash and restricted cash, beginning of year6,159
 5,940
 712,544
 
 724,643
Cash and restricted cash, end of period$18,144
 $54,518
 $831,036
 $
 $903,698
(1)Included in net cash provided by (used for) operating activities in the Arch Capital (Parent Guarantor) and/or Arch-U.S. (Subsidiary Issuer) columns.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2018
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
Net Cash Provided By (Used For)
Operating Activities
$324,319
 $481,751
 $1,703,181
 $(949,929) $1,559,322
Investing Activities         
Purchases of fixed maturity investments
 (906,482) (33,662,541) 1,241,363
 (33,327,660)
Purchases of equity securities
 (44,830) (956,319) 
 (1,001,149)
Purchases of other investments
 
 (2,014,622) 
 (2,014,622)
Proceeds from the sales of fixed maturity investments
 535,947
 32,218,687
 (1,241,363) 31,513,271
Proceeds from the sales of equity securities
 
 1,118,445
 
 1,118,445
Proceeds from the sales, redemptions and maturities of other investments
 
 1,561,958
 
 1,561,958
Proceeds from redemptions and maturities of fixed maturity investments
 
 892,755
 
 892,755
Net settlements of derivative instruments
 
 44,699
 
 44,699
Net (purchases) sales of short-term investments96,476
 7,674
 381,323
 
 485,473
Change in cash collateral related to securities lending
 
 180,883
 
 180,883
Contributions to subsidiaries
 (98,500) 98,500
 
 
Purchases of fixed assets(110) 
 (29,699) 
 (29,809)
Other(4) 
 21,740
 
 21,736
Net Cash Provided By (Used For)
Investing Activities
96,362
 (506,191) (144,191) 
 (554,020)
Financing Activities         
Redemption of preferred shares(92,555) 
 
 
 (92,555)
Purchases of common shares under share repurchase program(282,762) 
 
 
 (282,762)
Proceeds from common shares issued, net(7,608) 
 
 
 (7,608)
Proceeds from borrowings
 
 218,259
 
 218,259
Repayments of borrowings
 
 (576,401) 
 (576,401)
Change in cash collateral related to securities lending
 
 (180,883) 
 (180,883)
Dividends paid to redeemable noncontrolling interests
 
 (19,264) 1,275
 (17,989)
Dividends paid to parent (1)
 
 (948,654) 948,654
 
Other
 
 (7,226) 
 (7,226)
Preferred dividends paid(41,645) 
 
 
 (41,645)
Net Cash Provided By (Used For)
Financing Activities
(424,570) 
 (1,514,169) 949,929
 (988,810)
Effects of exchange rate changes on foreign currency cash and restricted cash
 
 (19,133) 
 (19,133)
Increase (decrease) in cash and restricted cash(3,889) (24,440) 25,688
 
 (2,641)
Cash and restricted cash, beginning of year10,048
 30,380
 686,856
 
 727,284
Cash and restricted cash, end of period$6,159
 $5,940
 $712,544
 $
 $724,643

(1)Included in net cash provided by (used for) operating activities in the Arch Capital (Parent Guarantor) and/or Arch-U.S. (Subsidiary Issuer) columns.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



 Year Ended December 31, 2017
Condensed Consolidating Statement
of Cash Flows
Arch Capital (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other Arch Capital Subsidiaries Consolidating Adjustments and Eliminations Arch Capital Consolidated
Operating Activities         
Net Cash Provided By (Used For)
Operating Activities
$159,130
 $(10,289) $1,649,751
 $(703,714) $1,094,878
Investing Activities         
Purchases of fixed maturity investments
 
 (36,806,913) 
 (36,806,913)
Purchases of equity securities
 
 (1,021,016) 
 (1,021,016)
Purchases of other investments
 
 (2,020,624) 
 (2,020,624)
Proceeds from the sales of fixed maturity investments
 
 35,686,779
 
 35,686,779
Proceeds from the sales of equity securities
 
 1,056,401
 
 1,056,401
Proceeds from the sales, redemptions and maturities of other investments
 
 1,528,617
 
 1,528,617
Proceeds from redemptions and maturities of fixed maturity investments
 
 907,417
 
 907,417
Net settlements of derivative instruments
 
 (28,563) 
 (28,563)
Proceeds from investment in joint venture
 
 
 
 
Net (purchases) sales of short-term investments(93,864) (4,586) (636,104) 
 (734,554)
Change in cash collateral related to securities lending
 
 12,540
 
 12,540
Contributions to subsidiaries20,457
 (73,700) (423,998) 477,241
 
Issuance of intercompany loans
 
 (47,000) 47,000
 
Repayment of intercompany loans
 47,000
 80,840
 (127,840) 
Purchases of fixed assets(18) 
 (22,823) 
 (22,841)
Other
 
 111,516
 (20,641) 90,875
Net Cash Provided By (Used For)
Investing Activities
(73,425) (31,286) (1,622,931) 375,760
 (1,351,882)
Financing Activities         
Proceeds from issuance of Series C preferred shares issued, net319,694
 
 
 
 319,694
Redemption of preferred shares(230,000) 
 
 
 (230,000)
Purchases of common shares under share repurchase program
 
 
 
 
Proceeds from common shares issued, net(21,048) 
 477,244
 (477,244) (21,048)
Proceeds from intercompany borrowings
 
 47,000
 (47,000) 
Proceeds from borrowings
 
 253,415
 
 253,415
Repayments of intercompany borrowings
 
 (127,840) 127,840
 
Repayments of borrowings(100,000) 
 (97,000) 
 (197,000)
Change in cash collateral relating to securities lending
 
 (12,540) 
 (12,540)
Dividends paid to redeemable noncontrolling
 
 (19,264) 1,275
 (17,989)
Dividends paid to parent (1)
 
 (702,442) 702,442
 
Other
 
 (72,537) 20,641
 (51,896)
Preferred dividends paid(46,041) 
 
 
 (46,041)
Net Cash Provided By (Used For)
Financing Activities
(77,395) 
 (253,964) 327,954
 (3,405)
Effects of exchange rate changes on foreign currency cash and restricted cash
 
 18,124
 
 18,124
Increase (decrease) in cash and restricted cash8,310
 (41,575) (209,020) 
 (242,285)
Cash and restricted cash, beginning of year1,738
 71,955
 895,876
 
 969,569
Cash and restricted cash, end of period$10,048
 $30,380
 $686,856
 $
 $727,284

(1)Included in net cash provided by (used for) operating activities in the Arch Capital (Parent Guarantor) and/or Arch-U.S. (Subsidiary Issuer) columns.


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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS



27.    Subsequent Event

On February 25, 2020, the Company announced that it has entered into a share purchase agreement with Natixis to purchase a 29.5% stake in Coface, a France-based leader in the global trade credit insurance market. The transaction will be completed at a price of €10.70 per share (dividend until closing attached), corresponding to a transaction value of approximately €480 million based on the current number of shares. As part of the transaction, Natixis’ seven representatives on Coface’s board of directors will resign and be replaced by four Arch nominees. Among other things, this transaction remains subject to antitrust and regulatory approvals, including in particular, approval by the French prudential regulator, the Autorité de Controle Prudentiel et de Résolution.


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ITEM 9. CHANGES IN AND DISAGREEMENTS WITH ACCOUNTANTS ON ACCOUNTING AND FINANCIAL DISCLOSURE
None.

ITEM 9A. CONTROLS AND PROCEDURES
Evaluation of Disclosure Controls and Procedures
In connection with the filing of this Form 10-K, our management, including the Chief Executive Officer and Chief Financial Officer, conducted an evaluation, as of December 31, 2019,2022, for the purposes set forth in the applicable rules under the Securities and Exchange Act of 1934, as amended (the “Exchange Act”). Based on that evaluation, the Chief Executive Officer and Chief Financial Officer concluded that the disclosure controls and procedures are effective.
We continue to enhance our operating procedures and internal controls (including information technology initiatives and controls over financial reporting) to effectively support our business and our regulatory and reporting requirements. Our management does not expect that our disclosure controls or our internal controls will prevent all errors and all fraud. A control system, no matter how well conceived and operated, can provide only reasonable, not absolute, assurance that the objectives of the control system are met. Further, the design of a control system must reflect the fact that there are resource constraints, and the benefits of controls must be considered relative to their costs. As a result of the inherent limitations in all control systems, no evaluation of controls can provide absolute assurance that all control issues and instances of fraud, if any, within the company have been detected. These inherent limitations include the realities that judgments in decision making can be faulty, and that breakdowns can occur because of simple error or mistake. Additionally, controls can be circumvented by the individual acts of some persons or by collusion of two or more people.
The design of any system of controls also is based in part upon certain assumptions about the likelihood of future events, and there can be no assurance that any design will succeed in achieving its stated goals under all potential future conditions; over time, controls may become inadequate because of changes in conditions, or the degree of
compliance with the policies or procedures may deteriorate. As a result of the inherent limitations in a cost-effective control system, misstatement due to error or fraud may occur and not be detected. Accordingly, our disclosure controls and procedures are designed to provide reasonable, not absolute, assurance that the disclosure controls and procedures are met.
Management’s Annual Report on Internal Control Over Financial Reporting
Our management is responsible for establishing and maintaining adequate internal control over financial reporting, as defined in Rules 13a-15(f) and 15d-15(f) under the Exchange Act. Our management assessed the effectiveness of our internal control over financial reporting as of December 31, 2019.2022. In making this assessment, management used the criteria set forth by the Committee of Sponsoring Organizations (COSO) of the Treadway Commission in Internal Control-Integrated Framework (2013).
Based on our assessment, management determined that, as of December 31, 2019,2022, our internal control over financial reporting was effective. The effectiveness of our internal control over financial reporting as of December 31, 20192022 has been audited by PricewaterhouseCoopers LLP, an independent registered public accounting firm, as stated in their report included in Item 8.
Changes in Internal Control Over Financial Reporting
There have been no changes in internal control over financial reporting that occurred in connection with our evaluation required pursuant to Rules 13a-15 and 15d-15 under the Exchange Act during the fiscal quarter ended December 31, 20192022 that have materially affected, or are reasonably likely to materially affect, internal control over financial reporting.


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ARCH CAPITAL1712019 FORM 10-K





ITEM 9B. OTHER INFORMATION
Disclosure of Certain Activities Under Section 13(r) of the Securities Exchange Act of 1934None.

Section 13(r) of the Securities Exchange Act of 1934, as amended, requires an issuer to disclose in its annual or quarterly reports whether it or an affiliate knowingly engaged in certain activities described in that section, including certain activities related to Iran during the period covered by the report.
Certain of our non-U.S. subsidiaries underwrite insurance and facultative reinsurance on a global basis to non-U.S. insureds and insurers, including for liability, marine, aviation and energy risks. Coverage provided to non-Iranian business may indirectly cover an exposure in Iran. For example, certain of our operations underwrite global marine hull and cargo policies that provide coverage for vessels navigating into and out of ports worldwide, including Iran. For the year ended December 31, 2019, there has been no material amount of premium allocated or apportioned to activities relating to Iran, and we are unable to attribute gross revenues or net profits from any
ITEM 9C. DISCLOSURE REGARDING FOREIGN JURISDICTIONS THAT PREVENT INSPECTIONS
Not applicable.
such policies because they insure multiple voyages and fleets containing multiple ships. Such non-U.S. subsidiaries will continue to provide such coverage only to the extent permitted by applicable law.
Subsequent Event

On February 25, 2020, the Company announced that it has entered into a share purchase agreement with Natixis to purchase a 29.5% stake in Coface, a France-based leader in the global trade credit insurance market. The transaction will be completed at a price of €10.70 per share (dividend until closing attached), corresponding to a transaction value of approximately €480 million based on the current number of shares. As part of the transaction, Natixis’ seven representatives on Coface’s board of directors will resign and be replaced by four Arch nominees. Among other things, this transaction remains subject to antitrust and regulatory approvals, including in particular, approval by the French prudential regulator, the Autorité de Controle Prudentiel et de Résolution.
PART III

ITEM 10. DIRECTORS, EXECUTIVE OFFICERS AND CORPORATE GOVERNANCE
The information required by this item is incorporated by reference from the information to be included in our definitive proxy statement (“Proxy Statement”) for our annual meeting of shareholders to be held in 2020,2023, which we intend to file with the SEC pursuant to Regulation 14A before May 1, 2020.no later than 120 days after the end of the Company’s fiscal year which ended on December 31, 2022. Copies of our code of ethics applicable to our chief executive officer, chief financial officer and principal accounting officer or controller are available free of charge to investors upon written request addressed to the attention of Arch Capital’s corporate secretary, Waterloo House, 100 Pitts Bay Road, Pembroke HM 08, Bermuda. In addition, our code of ethics and certain other basic corporate documents, including the charters of our audit committee, compensation committee and nominating committee are posted on our website.website located at www.archgroup.com.
If any substantive amendments are made to the code of ethics or if there is a grant of a waiver, including any implicit waiver, we will disclose the nature of such amendment or waiver on our website or in a report on Form 8-K, to the extent required by applicable law or the rules and regulations of any exchange applicable to us. Our website address is intended to be an inactive, textual reference only and none of the material on our website is incorporated by reference into this report.


ARCH CAPITAL1722019 FORM 10-K





ITEM 11. EXECUTIVE COMPENSATION
The information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A
with the SEC before May 1, 2020,no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2022, which Proxy Statement is incorporated by reference.

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Table of Contents
ITEM 12. SECURITY OWNERSHIP OF CERTAIN BENEFICIAL OWNERS AND MANAGEMENT AND RELATED STOCKHOLDER MATTERS
Other than the information set forth below, the information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A with the SEC before May 1, 2020,no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2022, which Proxy Statement is incorporated by reference.
The following information is as of December 31, 2019:2022:
Column A Column B Column C Column AColumn BColumn C
Plan CategoryNumber of Securities to be Issued Upon Exercise of Outstanding Stock Options(1), Warrants and Rights 
Weighted-Average Exercise Price of Outstanding
Stock Options(1), Warrants and Rights ($)
 Number of Securities Remaining Available for Future Issuance Under Equity Compensation Plans (Excluding Securities Reflected in Column A) Plan CategoryNumber of Securities to be Issued Upon Exercise of Outstanding Stock Options(1), Warrants and RightsWeighted-Average Exercise Price of Outstanding
Stock Options(1), Warrants and Rights ($)
Number of Securities Remaining Available for Future Issuance Under Equity Compensation Plans (Excluding Securities Reflected in Column A)
Equity compensation plans approved by security holders20,439,797
 $20.94
 28,927,609
 Equity compensation plans approved by security holders14,977,904  $28.17  15,124,700  
Equity compensation plans not approved by security holders
 
 
 Equity compensation plans not approved by security holders—  —  —  
Total20,439,797
 $20.94
 28,927,609
(2)Total14,977,904  $28.17  15,124,700 (2)
________________________
(1)Includes all vested and unvested stock options outstanding of 18,853,018 and restricted stock and performance units outstanding of 1,586,779. The weighted average exercise price does not take into account restricted stock units. In addition, the weighted average remaining contractual life of the Company's outstanding exercisable stock options and SARs at December 31, 2019 was 5.0
(1)    Includes all vested and unvested stock options outstanding of 14,420,901 and restricted stock and performance units outstanding of 557,003. The weighted average exercise price does not take into account restricted stock units. In addition, the weighted average remaining contractual life of the Company's outstanding exercisable stock options and SARs at December 31, 2022 was 4.4 years.
(2)Includes 2,729,721 common shares remaining available for future issuance under our Employee Share Purchase Plan and 26,197,888 common shares remaining available for future issuance under our equity compensation plans. Shares available for future issuance under our equity compensation plans may be issued in the form of stock options, SARs, restricted shares, restricted share units payable in common shares or cash, share awards in lieu of cash awards, dividend equivalents, performance shares and performance units and other share-based awards. In addition, 7,608,674 common shares, or 26.3% of the 28,927,609 common shares remaining available for future issuance may be issued in connection with full value awards (i.e., awards other than stock options or SARs).


(2)    Includes 1,041,837 common shares remaining available for future issuance under our Employee Share Purchase Plan and 14,082,863 common shares remaining available for future issuance under our equity compensation plans. Shares available for future issuance under our equity compensation plans may be issued in the form of stock options, SARs, restricted shares, restricted share units payable in common shares or cash, share awards in lieu of cash awards, dividend equivalents, performance shares and performance units and other share-based awards. In addition, 10,476,836 common shares, or 69.3% of the 15,124,700 common shares remaining available for future issuance may be issued in connection with full value awards (i.e., awards other than stock options or SARs).
ARCH CAPITAL1732019 FORM 10-K




ITEM 13. CERTAIN RELATIONSHIPS AND RELATED TRANSACTIONS, AND DIRECTOR INDEPENDENCE
The information required by this item is incorporated by reference from the information to be included in the Proxy Statement which we intend to file pursuant to Regulation 14A
with the SEC before May 1, 2020,no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2022, which Proxy Statement is incorporated by reference.

ITEM 14. PRINCIPAL ACCOUNTANT FEES AND SERVICES
The information required by this item is incorporated by reference from the information to be included in our Proxy Statement which we intend to file pursuant to Regulation 14A
with the SEC before May 1, 2020,no later than 120 days after the end of the Company’s fiscal year ended on December 31, 2022, which Proxy Statement is incorporated by reference.

ARCH CAPITAL1712022 FORM 10-K

PART IV

ITEM 15. EXHIBITS AND FINANCIAL STATEMENT SCHEDULES
(a) Financial Statements, Financial Statement Schedules and Exhibits.
(a) Financial Statements, Financial Statement Schedules and Exhibits.
1.Financial Statements
Included in Part II – see Item 8 of this report.
2.Financial Statement Schedules
Included in Part II – see Item 8 of this report.
Page No.
2. Financial Statement Schedules
Page No.
As of December 31, 2022 and 2021, and for the years ended December 31, 2022, 2021 and 2020
For the years ended December 31, 2019, 20182022, 2021 and 20172020
For the years ended December 31, 2019, 20182022, 2021 and 20172020
For the years ended December 31, 2019, 20182022, 2021 and 20172020
Schedules other than those listed above are omitted for the reason that they are not applicable or the information is provided in Item 8 of this report.


ARCH CAPITAL17417220192022 FORM 10-K



3. Exhibits
    Incorporated by Reference  
Exhibit Number Exhibit Description Form Original Number Date Filed Filed Herewith
3.1  S-4 3.1 September 8, 2000  
3.2  10-Q 3 August 5, 2016  
3.3  10-K 3.3 February 28, 2011  
4.1.1  8-K 4.1 September 29, 2016  
4.1.2  8-K 4.1 August 17, 2017  
4.2.1  10-K405 4.1 April 2, 2001  
4.2.2  8-K 4.2 September 29, 2016  
4.2.3  8-K 4.2 August 17, 2017  
4.3.1  8-K 99.2 May 7, 2004  
4.3.2  8-K 99.3 May 7, 2004  
4.3.3  8-K 4.1 December 13, 2013  
4.3.4  8-K 4.2 December 13, 2013  
4.3.5 

 8-K 4.1 May 15, 2018  
4.4.1  8-K 4.3 September 29, 2016  
4.4.2  8-K 4.3 August 17, 2017  
4.5.1  8-K 4.4 September 29, 2016  
4.5.2  8-K 4.4 August 17, 2017  
4.6.1  8-K 4.1 December 9, 2016  
4.6.2  8-K 4.2 December 9, 2016  
4.7        X
10.1.1  10-Q 10.1 August 14, 2002  
10.1.2  10-Q 10.4 November 12, 2003  
10.1.3  10-K 10.6 March 2, 2009  
10.2.1  10-Q 10.7 August 5, 2016  
10.2.2  10-Q 10.1 May 5, 2017  
10.3.1  DEF 14A   April 3, 2007  
10.3.2  DEF 14A   March 27, 2012  
10.3.3  DEF 14A   March 26, 2015  
10.3.4  DEF 14A   March 28, 2018  
10.3.5  DEF 14A   March 23, 2016  
10.4.1  10-K 10.7.15 March 10, 2004  
10.4.2  10-K 10.10.9 March 2, 2009  
10.4.3  10-Q 10.1 November 9, 2009  
10.4.4  10-Q 10.2 August 7, 2015  
10.4.5  10-Q 10.2 August 5, 2016  
10.4.6  10-Q 10.3 August 4, 2017  

Incorporated by Reference
Exhibit NumberExhibit DescriptionFormOriginal NumberDate FiledFiled Herewith
2.1S-43.1September 8, 2000
2.210-Q3August 5, 2016
2.310-K3.3February 28, 2011
3.18-K4.1August 17, 2017
3.28-K4.1June 11, 2021
3.310-K4.1April 2, 2001
3.48-K4.2August 17, 2017
3.58-K4.2June 11, 2021
4.18-K4.1June 30, 2020
4.28-K99.3May 7, 2004
4.38-K4.2June 30, 2020
4.4.18-K4.1December 13, 2013
4.4.28-K4.2December 13, 2013
4.4.3

8-K4.1May 15, 2018
4.5.18-K4.3August 17, 2017
4.5.28-K4.3June 11, 2021
4.6.18-K4.4August 17, 2017
4.6.28-K4.4June 11, 2021
4.7.18-K4.1December 9, 2016
4.7.28-K4.2December 9, 2016
4.810-K4.8February 25, 2022
10.2.110-Q10.7August 5, 2016
10.2.210-Q10.1May 5, 2017
10.2.310-K4.8February 25, 2022
10.3.1DEF 14AApril 3, 2007
10.3.2DEF 14AMarch 27, 2012
10.3.3DEF 14AMarch 26, 2015
10.3.4DEF 14AMarch 28, 2018
10.3.5DEF 14AMarch 23, 2016
10.3.68-K10.1May 4, 2022
10.4.110-Q10.2August 7, 2015
10.4.210-Q10.2August 5, 2016
10.4.310-Q10.3August 4, 2017

ARCH CAPITAL17517320192022 FORM 10-K



10.4.410-Q10.4August 4, 2017
10.4.510-K10.4.13February 28, 2018
10.4.610-Q10.3August 8, 2018
10.4.710-Q10.6August 8, 2018
10.510-Q10.5August 8, 2018
10.6.110-Q10.3August 7, 2015
10.6.210-Q10.3August 5, 2016
10.6.310-Q10.5August 4, 2017
10.6.410-K10.5.6February 28, 2018
10.6.510-K10.5.7February 28, 2018
10.6.610-Q10.4August 8, 2018
10.6.710-Q10.5May 9, 2018
10.7.110-Q10.2November 8, 2013
10.7.210-Q10.3August 8, 2014
10.7.310-Q10.15November 3, 2017
10.7.410-Q10.2May 8, 2015
10.8.18-K10.1October 28, 2008
10.8.210-Q10.1May 8, 2015
10.8.310-Q10.1May 9, 2018
10.1010-Q10.26November 3, 2017
10.1110-Q10.27November 3, 2017
10.128-K/A10.1July 26, 2018
10.138-K/A10.1April 11, 2018
10.1410-K10.16February 28, 2019
10.1510-K10.16February 28, 2020
10.1610-Q10.1August 5, 2021
10.1710-K10.24March 2, 2009
10.18.18-K10.1December 18, 2019
10.18.210-Q10.1November 4, 2021
10.4.7  10-Q 10.4 August 4, 2017  
10.4.8  10-K 10.4.13 February 28, 2018  
10.4.9  10-Q 10.3 August 8, 2018  
10.4.10  10-Q 10.6 August 8, 2018  
10.4.11  10-Q 10.7 August 8, 2018  
10.5  10-Q 10.5 August 8, 2018  
10.6.1  10-Q 10.3 August 7, 2015  
10.6.2  10-Q 10.6 August 5, 2016  
10.6.3  10-Q 10.3 August 5, 2016  
10.6.4  10-Q 10.22 November 3, 2017  
10.6.5  10-Q 10.5 August 4, 2017  
10.6.6  10-K 10.5.6 February 28, 2018  
10.6.7  10-K 10.5.7 February 28, 2018  
10.6.8  10-Q 10.4 August 8, 2018  
10.6.9  10-Q 10.8 August 8, 2018  
10.6.10  10-Q 10.4 May 9, 2018  
10.6.11  10-Q 10.5 May 9, 2018  
10.7.1  10-Q 10.1 November 10, 2008  
10.7.2  10-K 10.12.4 February 26, 2010  
10.7.3  10-Q 10.4 November 9, 2012  
10.7.4  10-Q 10.4 November 8, 2010  
10.7.5  10-Q 10.7 November 8, 2011  
10.7.6  10-Q 10.9 November 8, 2011  
10.7.7  10-Q 10.10 November 8, 2011  
10.7.8  10-Q 10.12 November 8, 2011  
10.7.9  10-Q 10.1 November 3, 2017  
10.7.10  10-Q 10.5 November 9, 2012  
10.7.11  10-Q 10.2 November 3, 2017  
10.7.12  10-Q 10.3 November 9, 2012  
10.7.13  10-Q 10.4 November 3, 2017  


ARCH CAPITAL17617420192022 FORM 10-K



10.7.14  10-Q 10.3 August 9, 2013  
10.7.15  10-Q 10.2 November 8, 2013  
10.7.16  10-Q 10.6 August 8, 2014  
10.7.17  10-Q 10.3 August 8, 2014  
10.7.18  10-Q 10.15 November 3, 2017  
10.7.19  10-Q 10.2 May 8, 2015  
10.7.20  10-Q 10.5 August 5, 2016  
10.8.1  8-K 10.1 October 28, 2008  
10.8.2  10-Q 10.1 May 8, 2015  
10.8.3  10-Q 10.1 May 9, 2018  
10.9  10-Q 10.2 August 8, 2018  
10.10.1  8-K 10.1 September 22, 2017  
10.10.2  8-K 10.1 March 21, 2019  
10.11  10-Q 10.26 November 3, 2017  
10.12  10-Q 10.27 November 3, 2017  
10.13  8-K/A 10.1 July 26, 2018  
10.14  8-K/A 10.1 April 11, 2018  
10.15  10-K 10.16 February 28, 2019  
10.16  10-K     X
10.17  10-K 10.24 March 2, 2009  
10.18  8-K 10.1 December 18, 2019  
21        X
23        X
24        X
31.1        X
31.2        X
32.1        X
32.2        X
101 The following financial information from ACGL’s Annual Report on Form 10-K for the year ended December 31, 2019 formatted in XBRL: (i) Consolidated Balance Sheets at December 31, 2019 and 2018; (ii) Consolidated Statements of Income for the years ended December 31, 2019, 2018 and 2017; (iii) Consolidated Statements of Comprehensive Income for the years ended December 31, 2019, 2018 and 2017; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the years ended December 31, 2019, 2018 and 2017; (v) Consolidated Statements of Cash Flows for the years ended December 31, 2019, 2018 and 2017; and (vi) Notes to Consolidated Financial Statements       X
10.18.310-Q10.2November 4, 2021
10.18.48-K10.1April 12, 2022
21X
23X
24X
31.1X
31.2X
32.1X
32.2X
101The following financial information from ACGL’s Annual Report on Form 10-K for the year ended December 31, 2022 formatted in Inline XBRL: (i) Consolidated Balance Sheets at December 31, 2022 and 2021; (ii) Consolidated Statements of Income for the years ended December 31, 2022, 2021 and 2020; (iii) Consolidated Statements of Comprehensive Income for the years ended December 31, 2022, 2021 and 2020; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the years ended December 31, 2022, 2021 and 2020; (v) Consolidated Statements of Cash Flows for the years ended December 31, 2022, 2021 and 2020; and (vi) Notes to Consolidated Financial StatementsX
104Cove Page Interactive Data File (embedded within the Inline XBRL document)
    Management contract or compensatory plan or arrangement.


ARCH CAPITAL17717520192022 FORM 10-K



SIGNATURES
Pursuant to the requirements of Section 13 or 15(d) of the Securities Exchange Act of 1934, the Registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.
ARCH CAPITAL GROUP LTD.
(Registrant)
By:/s/ Marc Grandisson
Name:Marc Grandisson
Title:
President and Chief Executive Officer (Principal Executive Officer)

February 28, 202024, 2023
Pursuant to the requirements of the Securities Exchange Act of 1934, this report has been signed below by the following persons on behalf of the Registrant and in the capacities and on the dates indicated.
NameTitleDate
NameTitleDate
/s/ Marc Grandisson
Marc Grandisson
President and Chief Executive Officer (Principal Executive Officer)

February 28, 202024, 2023
/s/ François Morin
François MorinExecutive Vice President and Chief Financial Officer (Principal Financial Officer and Principal Accounting Officer) and TreasurerFebruary 28, 2020
*
John M. Pasquesi
Chairman of the Board

February 28, 2020
*
John L. Bunce. Jr.DirectorFebruary 28, 2020
*
Eric W. DoppstadtDirectorFebruary 28, 2020
*
Laurie S. GoodmanDirectorFebruary 28, 2020


24, 2023
ARCH CAPITAL*1782019 FORM 10-K



John M. PasquesiChairman of the Board
February 24, 2023
Name*TitleDate
John L. Bunce, Jr.DirectorFebruary 24, 2023
*
Moira KilcoyneEric W. DoppstadtDirectorFebruary 28, 202024, 2023
*
Louis J. PagliaFrancis EbongDirectorFebruary 28, 202024, 2023
*
Laurie S. GoodmanDirectorFebruary 24, 2023

ARCH CAPITAL1762022 FORM 10-K

NameTitleDate
*
Moira KilcoyneDirectorFebruary 24, 2023
*
Eileen MalleschDirectorFebruary 24, 2023
*
Louis J. PagliaDirectorFebruary 24, 2023
*
Brian S. PosnerDirectorFebruary 28, 202024, 2023
*
Eugene S. SunshineDirectorFebruary 28, 2020
*
John D. VollaroDirectorFebruary 28, 2020
*
Thomas R. WatjenDirectorFebruary 28, 2020

___________________
*By François Morin, as attorney-in-fact and agent, pursuant to a power of attorney, a copy of which has been filed with the Securities and Exchange Commission as Exhibit
Eugene S. SunshineDirectorFebruary 24, to this report.2023
*
John D. VollaroDirectorFebruary 24, 2023
*
Thomas R. WatjenDirectorFebruary 24, 2023

___________________
*    By François Morin, as attorney-in-fact and agent, pursuant to a power of attorney, a copy of which has been filed with the Securities and Exchange Commission as Exhibit 24 to this report.

/s/ François Morin

Name:
François Morin
Attorney-in-Fact



ARCH CAPITAL1772022 FORM 10-K

SCHEDULE II


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Balance Sheet
(Parent Company Only)


December 31,
20222021
Assets
Total investments$7,282 $2,038 
Cash11,393 16,317 
Investments in subsidiaries14,191,188 14,822,024 
Investment in operating affiliates5,259 6,877 
Due from subsidiaries and affiliates1,554 11 
Other assets17,203 9,604 
Total assets$14,233,879 $14,856,871 
Liabilities
Senior notes$1,286,567 $1,286,208 
Other liabilities37,239 24,767 
Total liabilities1,323,806 1,310,975 
Shareholders' Equity
Non-cumulative preferred shares830,000 830,000 
Common shares ($0.0011 par, shares issued: 588,250,762 and 583,289,850)654 648 
Additional paid-in capital2,211,444 2,085,075 
Retained earnings15,892,065 14,455,868 
Accumulated other comprehensive income (loss), net of deferred income tax(1,646,170)(64,600)
Common shares held in treasury, at cost (shares: 217,904,765 and 204,365,956)(4,377,920)(3,761,095)
Total shareholders' equity$12,910,073 $13,545,896 
Total liabilities and shareholders' equity$14,233,879 $14,856,871 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.

ARCH CAPITAL1782022 FORM 10-K

SCHEDULE II
(continued)

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Statement of Income
(Parent Company Only)


Year Ended
December 31,
202220212020
Revenues
Net investment income$2,058 $1,524 $53 
Net realized gains (losses)29 — (2,110)
Total revenues2,087 1,524 (2,057)
Expenses
Corporate expenses85,997 71,818 65,566 
Interest expense58,759 58,741 40,445 
Net foreign exchange (gains) losses(1)
Total expenses144,755 130,566 106,014 
Income (loss) before income taxes and income (loss) from operating affiliates(142,668)(129,042)(108,071)
Income (loss) from operating affiliates(1,047)(590)(437)
Income (loss) before equity in net income of subsidiaries(143,715)(129,632)(108,508)
Equity in net income of subsidiaries1,592,929 2,286,481 1,514,029 
Net income available to Arch1,449,214 2,156,849 1,405,521 
Preferred dividends(40,736)(48,343)(41,612)
Loss on redemption of preferred shares— (15,101)— 
Net income available to Arch common shareholders$1,408,478 $2,093,405 $1,363,909 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.


ARCH CAPITAL17920192022 FORM 10-K







SCHEDULE II
(continued)


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONDENSED FINANCIAL INFORMATION OF REGISTRANT
(U.S. dollars in thousands)

Statement of Cash Flows
(Parent Company Only)



Year Ended
December 31,
202220212020
Operating Activities:
Net Cash Provided By Operating Activities$621,307 $1,727,529 $124,751 
Investing Activities:
Net (purchases) sales of short-term investments(4,838)(1,866)(130)
Capital contributed to subsidiaries— (487,161)(988,975)
Purchase of fixed assets(22)(783)(15)
Other(1,462)— — 
Net Cash Used For Investing Activities(6,322)(489,810)(989,120)
Financing Activities:
Purchases of common shares under share repurchase program(585,823)(1,234,294)(83,472)
Proceeds from common shares issued, net6,660 6,418 1,876 
Proceeds from issuance of preferred shares, net— 485,821 — 
Redemption of preferred shares— (450,000)— 
Proceeds from borrowings— — 988,393 
Preferred dividends paid(40,736)(48,280)(41,612)
Net Cash Used For Financing Activities(619,899)(1,240,335)865,185 
Increase (decrease) in cash and restricted cash(4,914)(2,616)816 
Cash and restricted cash, beginning of year16,344 18,960 18,144 
Cash and restricted cash, end of period$11,430 $16,344 $18,960 


The financial information for the parent company (Arch Capital Group Ltd.) should be read in conjunction with the Consolidated Financial Statements and Notes thereto.

ARCH CAPITAL1802022 FORM 10-K

SCHEDULE III


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INSURANCE INFORMATION
(U.S. dollars in thousands)
Deferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesUnearned PremiumsNet Premiums EarnedNet Investment Income (1)Net Losses and Loss Adjustment Expenses IncurredAmortization of Deferred Acquisition CostsOther Operating Expenses (2)Net Premiums Written
December 31, 2022
Insurance$301,398 $11,017,327 $3,381,810 $4,559,335 NM$2,782,945 $885,866 $665,472 $5,020,642 
Reinsurance992,339 8,305,854 3,206,284 3,959,381 NM2,568,843 813,555 267,531 4,923,976 
Mortgage(29,867)708,762 748,908 1,159,361 NM(324,271)40,159 195,172 1,132,571 
Other
Total$1,263,870 $20,031,943 $7,337,002 $9,678,077 NM$5,027,517 $1,739,580 $1,128,175 $11,077,189 
December 31, 2021
Insurance$378,265 $9,810,622 $2,937,664 $3,626,468 NM$2,344,365 $606,265 $558,906 $4,148,193 
Reinsurance424,390 6,878,721 2,263,264 2,840,443 NM1,924,719 536,754 212,810 3,254,374 
Mortgage99,186 1,067,813 811,014 1,283,419 NM56,677 97,418 194,010 1,261,068 
Other331,968 NM259,042 62,741 32,869 354,702 
Total$901,841 $17,757,156 $6,011,942 $8,082,298 NM$4,584,803 $1,303,178 $998,595 $9,018,337 
December 31, 2020
Insurance$254,833 $8,989,930 $2,334,225 $2,871,420 NM$2,092,453 $418,483 $489,153 $3,162,907 
Reinsurance278,422 5,027,742 1,356,983 2,162,229 NM1,628,320 354,048 168,011 2,457,370 
Mortgage203,748 976,673 740,043 1,397,935 NM528,344 134,240 162,202 1,279,850 
Other53,705 1,519,583 407,714 560,351 NM440,482 98,071 55,810 537,589 
Total$790,708 $16,513,928 $4,838,965 $6,991,935 NM$4,689,599 $1,004,842 $875,176 $7,437,716 
 Deferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesUnearned PremiumsNet Premiums EarnedNet Investment Income (1)Net Losses and Loss Adjustment Expenses IncurredAmortization of Deferred Acquisition CostsOther Operating Expenses (2)Net Premiums Written
December 31, 2019         
Insurance
$188,684

$7,900,328

$1,991,496

$2,397,080
NM
$1,615,475

$361,614

$454,770

$2,641,726
Reinsurance197,856
4,270,013
971,776
1,466,389
NM1,011,329
239,032
141,484
1,602,723
Mortgage182,816
457,872
937,370
1,366,340
NM53,513
134,319
153,092
1,261,756
Other64,044
1,263,629
438,907
556,689
NM453,135
105,980
51,651
532,862
Total
$633,400

$13,891,842

$4,339,549

$5,786,498
NM
$3,133,452

$840,945

$800,997

$6,039,067
December 31, 2018         
Insurance
$152,360

$7,093,018

$1,549,183

$2,205,661
NM
$1,520,680

$349,702

$364,138

$2,212,125
Reinsurance166,276
3,215,909
710,774
1,261,216
NM846,882
211,280
133,350
1,372,572
Mortgage170,080
511,610
1,103,565
1,186,236
NM81,289
118,595
142,432
1,157,875
Other80,858
1,032,760
390,114
578,862
NM441,255
125,558
37,889
604,175
Total
$569,574

$11,853,297

$3,753,636

$5,231,975
NM
$2,890,106

$805,135

$677,809

$5,346,747
December 31, 2017         
Insurance
$159,224

$6,952,676

$1,451,390

$2,113,018
NM
$1,622,444

$323,639

$359,524

$2,122,440
Reinsurance150,582
3,053,694
633,810
1,142,621
NM773,923
221,250
146,663
1,174,474
Mortgage140,057
579,160
1,206,470
1,057,166
NM134,677
100,598
146,336
1,111,342
Other85,961
798,262
330,644
531,727
NM436,402
129,971
31,928
553,117
Total
$535,824

$11,383,792

$3,622,314

$4,844,532
NM
$2,967,446

$775,458

$684,451

$4,961,373
(1)    The Company does not manage its assets by segment and, accordingly, net investment income is not allocated to each underwriting segment. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the ‘other’ segment.
(2)    Certain other operating expenses relate to the Company’s corporate segment. Such amounts are not reflected in the table above. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.

(1)
The Company does not manage its assets by segment and, accordingly, net investment income is not allocated to each underwriting segment. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the ‘other’ segment.
(2)
Certain other operating expenses relate to the Company’s corporate segment (non-underwriting). Such amounts are not reflected in the table above. See note 4, “Segment Information,” to our consolidated financial statements in Item 8 for information related to the corporate segment.





ARCH CAPITAL18018120192022 FORM 10-K




SCHEDULE IV
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
REINSURANCE
(U.S. dollars in thousands)
Gross AmountCeded to Other Companies (1)Assumed From Other Companies (1)Net
Amount
Percentage of Amount Assumed to Net
Year Ended December 31, 2022
Premiums Written:
Insurance$6,889,358 $(1,910,222)$41,506 $5,020,642 0.8 %
Reinsurance395,063 (2,024,462)6,553,375 4,923,976 133.1 %
Mortgage1,256,366 (322,400)198,605 1,132,571 17.5 %
Total$8,540,787 $(4,249,258)$6,785,660 $11,077,189 61.3 %
Year Ended December 31, 2021
Premiums Written:
Insurance$5,833,873 $(1,719,541)$33,861 $4,148,193 0.8 %
Reinsurance408,520 (1,839,556)4,685,410 3,254,374 144.0 %
Mortgage1,213,333 (246,757)294,492 1,261,068 23.4 %
Other251,106 (102,763)206,359 354,702 58.2 %
Total$7,706,832 $(3,734,150)$5,045,655 $9,018,337 55.9 %
Year Ended December 31, 2020
Premiums Written:
Insurance$4,659,416 $(1,525,655)$29,146 $3,162,907 0.9 %
Reinsurance305,435 (1,014,716)3,166,651 2,457,370 128.9 %
Mortgage1,192,316 (194,149)281,683 1,279,850 22.0 %
Other396,743 (190,957)331,803 537,589 61.7 %
Total$6,553,910 $(2,650,352)$3,534,158 $7,437,716 47.5 %
 Gross Amount Ceded to Other Companies (1) Assumed From Other Companies (1) Net
Amount
 Percentage of Amount Assumed to Net
Year Ended December 31, 2019         
Premiums Written:         
Insurance$3,879,752
 $(1,266,267) $28,241
 $2,641,726
 1.1%
Reinsurance238,229
 (720,500) 2,084,994
 1,602,723
 130.1%
Mortgage1,224,373
 (204,509) 241,892
 1,261,756
 19.2%
Other339,169
 (222,019) 415,712
 532,862
 78.0%
Total$5,681,523
 $(2,099,893) $2,457,437
 $6,039,067
 40.7%
Year Ended December 31, 2018         
Premiums Written:         
Insurance$3,232,234
 $(1,050,207) $30,098
 $2,212,125
 1.4%
Reinsurance213,809
 (539,950) 1,698,713
 1,372,572
 123.8%
Mortgage1,139,099
 (202,833) 221,609
 1,157,875
 19.1%
Other253,760
 (130,840) 481,255
 604,175
 79.7%
Total$4,838,902
 $(1,614,257) $2,122,102
 $5,346,747
 39.7%
Year Ended December 31, 2017         
Premiums Written:         
Insurance$3,050,876
 $(958,646) $30,210
 $2,122,440
 1.4%
Reinsurance152,404
 (465,925) 1,487,995
 1,174,474
 126.7%
Mortgage1,110,319
 (256,796) 257,819
 1,111,342
 23.2%
Other133,858
 (47,187) 466,446
 553,117
 84.3%
Total$4,447,457
 $(1,407,052) $1,920,968
 $4,961,373
 38.7%
(1)    Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.


(1)Certain amounts included in the gross premiums written of each segment are related to intersegment transactions and are included in the gross premiums written of each segment. Accordingly, the sum of gross premiums written for each segment does not agree to the total gross premiums written as shown in the table above due to the elimination of intersegment transactions in the total.



ARCH CAPITAL18118220192022 FORM 10-K




SCHEDULE VI
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
SUPPLEMENTARY INFORMATION FOR PROPERTY AND CASUALTY INSURANCE UNDERWRITERS
(U.S. dollars in thousands)
Column AColumn BColumn CColumn DColumn EColumn FColumn GColumn HColumn IColumn JColumn K
Affiliation with RegistrantDeferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesDiscount, if any, deducted in Column CUnearned PremiumsNet
Premiums Earned
Net Investment IncomeNet Losses and Loss Adjustment Expenses Incurred Related toAmortization
of Deferred Acquisition Costs
Net Paid Losses and Loss Adjustment ExpensesNet
Premiums Written
(a) Current Year
(b)
Prior Years
Consolidated Subsidiaries           
2019$633,400
$13,891,842
$22,012
$4,339,549
$5,786,498
$627,738
$3,297,037
$(163,585)$840,945
$2,383,255
$6,039,067
2018569,574
11,853,297
21,145
3,753,636
5,231,975
563,633
3,162,818
(272,712)805,135
2,206,164
5,346,747
2017535,824
11,383,792
20,016
3,622,314
4,844,532
470,872
3,205,428
(237,982)775,458
2,352,912
4,961,373

Column AColumn BColumn CColumn DColumn EColumn FColumn GColumn HColumn IColumn JColumn K
Affiliation with RegistrantDeferred Acquisition CostsReserves for Losses and Loss Adjustment ExpensesDiscount, if any, deducted in Column CUnearned PremiumsNet
Premiums Earned
Net Investment IncomeNet Losses and Loss Adjustment Expenses Incurred Related toAmortization
of Deferred Acquisition Costs
Net Paid Losses and Loss Adjustment ExpensesNet
Premiums Written
(a) Current Year(b)
Prior Years
Consolidated Subsidiaries
2022$1,263,870 $20,031,943 $60,536 $7,337,002 $9,678,077 $496,547 $5,798,528 $(771,011)$1,739,580 $3,141,948 $11,077,189 
2021901,841 17,757,156 55,575 6,011,942 8,082,298 389,118 4,940,987 (356,184)1,303,178 2,826,551 9,018,337 
2020790,708 16,513,929 23,326 4,838,965 6,991,935 519,608 4,851,051 (161,452)1,004,842 2,661,117 7,437,716 



ITEM 16.
FORM 10-K SUMMARY
Not applicable.



ARCH CAPITAL1822019 FORM 10-K
ITEM 16.     FORM 10-K SUMMARY
Not applicable.


ARCH CAPITAL1832022 FORM 10-K