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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
WASHINGTON, D.C. 20549
 
FORM 10-Q
xQUARTERLY REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934
For the quarterly period endedSeptember 30, 20172023
Or
oTRANSITION REPORT PURSUANT TO SECTION 13 OR 15(d) OF THE SECURITIES EXCHANGE ACT OF 1934

Commission file number: 001-16209


 archnewlogo11a20.jpgarchlogorgbsolida36.jpg
ARCH CAPITAL GROUP LTD.
(Exact name of registrant as specified in its charter)

BermudaNot applicable98-0374481
(State or other jurisdiction of incorporation or organization)(I.R.S. Employer Identification No.)
Waterloo House, Ground Floor
100 Pitts Bay Road,PembrokeHM 08, BermudaBermuda(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 shareACGLNASDAQ Stock Market
Depositary shares, each representing a 1/1000th interest in a 5.45% Series F preferred share
ACGLONASDAQ Stock Market
Depositary shares, each representing a 1/1000th interest in a 4.55% Series G preferred shareACGLNNASDAQ Stock Market
Indicate by check mark whether the registrant (1) has filed all reports required to be filed by Section 13 or 15(d) of the Securities Exchange Act of 1934 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 þNoo
Indicate by check mark whether the registrant has submitted electronically and posted on its corporate Web site, if any, every Interactive Data File required to be submitted and posted 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 and post such files). Yes þ☑     Noo
Indicate by check mark whether the registrant is a large accelerated filer, an accelerated filer, a non-accelerated filer, or 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 þAccelerated Filer oAccelerated Filer Non-accelerated Filer oSmaller reporting
company oEmerging growth company o
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 is a shell company (as defined in Rule 12b-2 of the Exchange Act). Yes oNo þ

As of October 31, 2017,November 6, 2023, there were 130,874,024373,171,909 common shares, $0.0033$0.0011 par value per share, of the registrant outstanding.




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ARCH CAPITAL GROUP LTD.
 
INDEX TO FORM 10-Q
 
Page No.
PART I
Item 1.
Item 2.
Item 3.
Item 4.
PART II
Item 1.
Item 1A.
Item 2.
Item 3.
Item 4.
Item 5.
Item 6.

ARCH CAPITALACGL 2017 12023 THIRD QUARTER FORM 10-Q1

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PART I. FINANCIAL INFORMATION
Cautionary Note Regarding Forward-Looking Statements
The Private Securities Litigation Reform Act of 1995 (“PSLRA”) provides a “safe harbor” for forward-looking statements. This releasereport 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 releasereport 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 releasereport and in our periodic reports filed with the Securities and Exchange Commission (the “SEC”(“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 United Guaranty and any other 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 formssources 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, which for a relatively new insurance and reinsurance company, like our company, are even more difficult to make than those made in a mature company since relatively limited historical information has been reported to us through September 30, 2017;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, reinsurance and reinsurancemortgage 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 COVID-19) on our business;
acts of terrorism, political unrest and other hostilities or other unforecasted and unpredictable events;
ARCH CAPITAL 22023 THIRD QUARTER FORM 10-Q

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availability to us of reinsurance to manage our gross and net exposures and the cost of such reinsurance;
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;

ACGL 2017 THIRD QUARTER FORM 10-Q2

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changes in general economic conditions, including new or continued sovereign debt concerns in Eurozone countries or downgrades of U.S. securities by credit rating agencies, which could affect our business, financial condition and results of operations;
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;
losses relating to aviation business and business produced by a certain managing underwriting agency for which we may be liable to the purchaser of our prior reinsurance business or to others in connection with the May 5, 2000 asset sale described in our periodic reports filed with the SEC;
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 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 policy and 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;customers, including the implementation of the Organization for Economic Cooperation and Development (“OECD”) Pillar I and Pillar II initiatives and the possible enactment of a recently proposed Bermuda corporate income tax; and
the other matters set forth under Item 1A “Risk Factors”,Factors,” Item 7 “Management’s Discussion and Analysis of Financial Condition and Results of Operations” and other sections of our Annual Report on Form 10-K for the year ended December 31, 2016,2022, as well as the other factors set forth in our 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 CAPITAL 32023 THIRD QUARTER FORM 10-Q

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ITEM 1. CONSOLIDATED FINANCIAL STATEMENTS
Page No.
ACGL 2017 THIRD QUARTER FORM 10-Q3

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ITEM 1. CONSOLIDATED FINANCIAL STATEMENTS
September 30, 2023 and December 31, 2022 (unaudited)
Page No.
September 30, 2017 (unaudited) and December 31, 2016
For the three and nine month periods ended September 30, 20172023 and 20162022 (unaudited)
For the three and nine month periods ended September 30, 20172023 and 20162022 (unaudited)
For the three and nine month periods ended September 30, 2023 and 2022 (unaudited)
For the nine month periods ended September 30, 20172023 and 20162022 (unaudited)
For the nine month periods ended September 30, 2017 and 2016 (unaudited)
Notes to Consolidated Financial Statements (unaudited)



ARCH CAPITALACGL 2017 42023 THIRD QUARTER FORM 10-Q4

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
Report of Independent Registered Public Accounting FirmCONSOLIDATED BALANCE SHEETS
(U.S. dollars and shares in millions)
To the Board of Directors and Shareholders of Arch Capital Group Ltd.:
(Unaudited)
September 30,
2023
December 31,
2022
Assets  
Investments:  
Fixed maturities available for sale, at fair value (amortized cost: $23,882 and $21,282; net of allowance for credit losses: $57 and $41)$22,485 $19,683 
Short-term investments available for sale, at fair value (amortized cost: $1,680 and $1,333; net of allowance for credit losses: $0 and $0)1,682 1,332 
Equity securities, at fair value894 860 
Other investments, at fair value2,068 1,644 
Investments accounted for using the equity method4,251 3,774 
Total investments31,380 27,293 
Cash859 855 
Accrued investment income217 159 
Investment in operating affiliates1,000 965 
Premiums receivable (net of allowance for credit losses: $34 and $35)4,937 3,625 
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses (net of allowance for credit losses: $23 and $22)6,821 6,564 
Contractholder receivables (net of allowance for credit losses: $3 and $3)1,805 1,731 
Ceded unearned premiums2,444 1,799 
Deferred acquisition costs1,483 1,264 
Receivable for securities sold59 12 
Goodwill and intangible assets739 804 
Other assets3,483 2,919 
Total assets$55,227 $47,990 
Liabilities
Reserve for losses and loss adjustment expenses$21,836 $20,032 
Unearned premiums9,074 7,337 
Reinsurance balances payable2,215 1,530 
Contractholder payables1,807 1,734 
Collateral held for insured obligations274 249 
Senior notes2,726 2,725 
Payable for securities purchased417 95 
Other liabilities1,637 1,367 
Total liabilities39,986 35,069 
Commitments and contingencies (refer to Note 10)
Redeemable noncontrolling interests11 
Shareholders' Equity
Non-cumulative preferred shares830 830 
Common shares ($0.0011 par, shares issued: 591.4 and 588.3)
Additional paid-in capital2,297 2,211 
Retained earnings17,971 15,892 
Accumulated other comprehensive income (loss), net of deferred income tax(1,453)(1,646)
Common shares held in treasury, at cost (shares: 218.3 and 217.9)(4,407)(4,378)
Total shareholders' equity available to Arch15,239 12,910 
Total liabilities, noncontrolling interests and shareholders' equity$55,227 $47,990 
We have reviewed the accompanying consolidated balance sheet of Arch Capital Group Ltd. and its subsidiaries (the “Company”) as of September 30, 2017, and the related consolidated statements of income and comprehensive income for the three-month and nine-month periods ended September 30, 2017 and September 30, 2016 and the consolidated statements of changes in shareholders’ equity and cash flows for the nine-month periods ended September 30, 2017 and September 30, 2016. These interim financial statements are the responsibility of the Company’s management.
We conducted our review in accordance with the standards of the Public Company Accounting Oversight Board (United States). A review of interim financial information consists principally of applying analytical procedures and making inquiries of persons responsible for financial and accounting matters. It is substantially less in scope than an audit conducted in accordance with the standards of the Public Company Accounting Oversight Board (United States), the objective of which is the expression of an opinion regarding the financial statements taken as a whole. Accordingly, we do not express such an opinion.
Based on our review, we are not aware of any material modifications that should be made to the accompanying consolidated interim financial statements for them to be in conformity with accounting principles generally accepted in the United States of America.
We previously audited, in accordance with the standards of the Public Company Accounting Oversight Board (United States), the consolidated balance sheet as of December 31, 2016, and the related consolidated statements of income, comprehensive income, changes in shareholders’ equity, and cash flows for the year then ended (not presented herein), and in our report dated March 1, 2017, we expressed an unqualified opinion on those consolidated financial statements. In our opinion, the information set forth in the accompanying consolidated balance sheet as of December 31, 2016, is fairly stated, in all material respects in relation to the consolidated balance sheet from which it has been derived.
/s/ PricewaterhouseCoopers LLP
November 3, 2017

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED BALANCE SHEETS
(U.S. dollars in thousands, except share data)
 (Unaudited)  
 September 30,
2017
 December 31,
2016
Assets 
  
Investments: 
  
Fixed maturities available for sale, at fair value (amortized cost: $13,722,581 and $13,522,671)$13,792,903
 $13,426,577
Short-term investments available for sale, at fair value (amortized cost: $1,645,873 and $611,878)1,646,036
 612,005
Collateral received under securities lending, at fair value (amortized cost: $543,243 and $762,554)543,252
 762,565
Equity securities available for sale, at fair value (cost: $401,674 and $475,085)477,143
 518,041
Other investments available for sale, at fair value (cost: $205,828 and $149,077)260,339
 167,970
Investments accounted for using the fair value option4,249,634
 3,421,220
Investments accounted for using the equity method962,574
 811,273
Total investments21,931,881
 19,719,651
    
Cash862,361
 842,942
Accrued investment income101,104
 124,483
Securities pledged under securities lending, at fair value (amortized cost: $529,700 and $746,409)528,212
 744,980
Premiums receivable1,269,678
 1,072,435
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses2,506,015
 2,114,138
Contractholder receivables1,864,348
 1,717,436
Ceded unearned premiums947,135
 859,567
Deferred acquisition costs531,196
 447,560
Receivable for securities sold385,952
 58,284
Goodwill and intangible assets684,405
 781,553
Other assets1,012,510
 889,080
Total assets$32,624,797
 $29,372,109
    
Liabilities   
Reserve for losses and loss adjustment expenses$11,351,267
 $10,200,960
Unearned premiums3,751,550
 3,406,870
Reinsurance balances payable352,006
 300,407
Contractholder payables1,864,348
 1,717,436
Collateral held for insured obligations345,726
 301,406
Senior notes1,732,726
 1,732,258
Revolving credit agreement borrowings826,242
 756,650
Securities lending payable543,243
 762,554
Payable for securities purchased1,091,464
 76,183
Other liabilities788,354
 806,260
Total liabilities22,646,926
 20,060,984
    
Commitments and Contingencies

 

Redeemable noncontrolling interests205,829
 205,553
    
Shareholders' Equity   
Non-cumulative preferred shares772,555
 772,555
Convertible non-voting common equivalent preferred shares489,627
 1,101,304
Common shares ($0.0033 par, shares issued: 182,924,882 and 174,644,101)610
 582
Additional paid-in capital1,212,960
 531,687
Retained earnings8,359,354
 7,996,701
Accumulated other comprehensive income (loss), net of deferred income tax129,682
 (114,541)
Common shares held in treasury, at cost (shares: 52,058,509 and 51,856,584)(2,053,644) (2,034,570)
Total shareholders' equity available to Arch8,911,144
 8,253,718
Non-redeemable noncontrolling interests860,898
 851,854
Total shareholders' equity9,772,042
 9,105,572
Total liabilities, noncontrolling interests and shareholders' equity$32,624,797
 $29,372,109

See Notes to Consolidated Financial Statements


ARCH CAPITALACGL 201752023 THIRD QUARTER FORM 10-Q6

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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF INCOME
(U.S. dollars in thousands, except share data)
 (Unaudited) (Unaudited)
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Revenues 
  
  
  
Net premiums written$1,325,403
 $1,014,278
 $3,850,358
 $3,159,076
Change in unearned premiums(63,517) (55,875) (230,581) (243,109)
Net premiums earned1,261,886
 958,403
 3,619,777
 2,915,967
Net investment income116,459
 93,618
 345,457
 275,691
Net realized gains (losses)66,275
 125,105
 122,163
 230,647
        
Other-than-temporary impairment losses(1,878) (3,867) (5,415) (16,999)
Less investment impairments recognized in other comprehensive income, before taxes
 
 
 150
Net impairment losses recognized in earnings(1,878) (3,867) (5,415) (16,849)
        
Other underwriting income6,064
 7,980
 15,519
 38,251
Equity in net income (loss) of investment funds accounted for using the equity method31,090
 16,662
 111,884
 32,054
Other income (loss)(342) (400) (3,118) (432)
Total revenues1,479,554
 1,197,501
 4,206,267
 3,475,329
        
Expenses       
Losses and loss adjustment expenses1,046,141
 524,183
 2,288,571
 1,631,724
Acquisition expenses193,854
 161,267
 566,579
 501,782
Other operating expenses170,127
 153,286
 514,827
 460,748
Corporate expenses17,098
 18,485
 69,766
 45,068
Amortization of intangible assets31,824
 4,865
 93,942
 14,493
Interest expense29,510
 15,943
 86,935
 47,713
Net foreign exchange losses (gains)28,028
 2,621
 86,975
 1,525
Total expenses1,516,582
 880,650
 3,707,595
 2,703,053
        
Income (loss) before income taxes(37,028) 316,851
 498,672
 772,276
Income tax expense(8,189) (13,231) (70,755) (43,672)
Net income (loss)$(45,217) $303,620
 $427,917
 $728,604
Net (income) loss attributable to noncontrolling interests11,561
 (50,748) (23,279) (109,879)
Net income (loss) available to Arch(33,656) 252,872
 404,638
 618,725
Preferred dividends(12,369) (5,484) (34,936) (16,453)
Loss on redemption of preferred shares(6,735) 
 (6,735) 
Net income (loss) available to Arch common shareholders$(52,760) $247,388
 $362,967
 $602,272
        
Net income (loss) per common share and common share equivalent 
  
  
  
Basic$(0.39) $2.05
 $2.70
 $4.99
Diluted$(0.39) $1.98
 $2.61
 $4.84
        
Weighted average common shares and common share equivalents outstanding     
  
Basic134,885,451
 120,938,916
 134,472,129
 120,656,420
Diluted134,885,451
 124,931,653
 139,222,324
 124,528,174
CONSOLIDATED STATEMENTS OF INCOME

(U.S. dollars and shares in millions, except per share data)

(Unaudited)(Unaudited)
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Revenues    
Net premiums earned$3,248 $2,471 9,096 6,918 
Net investment income269 129 710 315 
Net realized gains (losses)(248)(184)(354)(743)
Other underwriting income21 12 
Equity in net income (loss) of investment funds accounted for using the equity method59 (19)176 75 
Other income (loss)(4)(14)10 (35)
Total revenues3,329 2,386 9,659 6,542 
Expenses
Losses and loss adjustment expenses1,647 1,683 4,609 3,787 
Acquisition expenses575 448 1,669 1,239 
Other operating expenses310 275 942 842 
Corporate expenses20 18 71 78 
Amortization of intangible assets24 26 71 80 
Interest expense34 33 99 99 
Net foreign exchange (gains) losses(22)(91)(183)
Total expenses2,588 2,392 7,462 5,942 
Income (loss) before income taxes and income (loss) from operating affiliates741 (6)2,197 600 
Income tax (expense) benefit(72)15 (203)(19)
Income (loss) from operating affiliates54 115 39 
Net income (loss)$723 $18 $2,109 $620 
Net (income) loss attributable to noncontrolling interests— (1)— (3)
Net income (loss) available to Arch723 17 2,109 617 
Preferred dividends(10)(10)(30)(30)
Net income (loss) available to Arch common shareholders$713 $$2,079 $587 
Net income per common share and common share equivalent    
Basic$1.93 $0.02 $5.64 $1.59 
Diluted$1.88 $0.02 $5.50 $1.55 
Weighted average common shares and common share equivalents outstanding  
Basic369.2 365.2 368.4 369.5 
Diluted379.4 373.7 378.3 378.4 





See Notes to Consolidated Financial Statements


ARCH CAPITALACGL 201762023 THIRD QUARTER FORM 10-Q7



ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME
(U.S. dollars in thousands)
 (Unaudited) (Unaudited)
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Comprehensive Income     
  
Net income (loss)$(45,217) $303,620
 $427,917
 $728,604
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 period66,462
 16,281
 260,223
 251,722
Portion of other-than-temporary impairment losses recognized in other comprehensive income, net of deferred income tax
 
 
 (150)
Reclassification of net realized (gains) losses, net of income taxes, included in net income (loss)(23,912) (54,992) (46,180) (109,309)
Foreign currency translation adjustments8,280
 (5,312) 29,701
 (6,150)
Comprehensive income5,613
 259,597
 671,661
 864,717
Net (income) loss attributable to noncontrolling interests11,561
 (50,748) (23,279) (109,879)
Foreign currency translation adjustments attributable to noncontrolling interests411
 (59) 479
 141
Comprehensive income available to Arch$17,585
 $208,790
 $648,861
 $754,979
CONSOLIDATED STATEMENTS OF COMPREHENSIVE INCOME

(U.S. dollars in millions)

(Unaudited)(Unaudited)
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Comprehensive Income  
Net income (loss)$723 $18 $2,109 $620 
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 period(190)(610)(118)(1,892)
Reclassification of net realized (gains) losses, included in net income (loss)96 46 344 206 
Foreign currency translation adjustments(40)(70)(33)(141)
Comprehensive income (loss)589 (616)2,302 (1,207)
Net (income) loss attributable to noncontrolling interests— (1)— (3)
Comprehensive income (loss) available to Arch$589 $(617)$2,302 $(1,210)


See Notes to Consolidated Financial Statements


ARCH CAPITALACGL 201772023 THIRD QUARTER FORM 10-Q8



ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY
(U.S. dollars in thousands)
 (Unaudited)
 Nine Months Ended
 September 30,
 2017 2016
Non-cumulative preferred shares 
  
Balance at beginning of year$772,555
 $325,000
Preferred shares issued230,000
 450,000
Preferred shares redeemed(230,000) 
Balance at end of period772,555
 775,000
    
Convertible non-voting common equivalent preferred shares   
Balance at beginning of year1,101,304
 
Preferred shares converted to common shares(611,677) 
Balance at end of period489,627
 
    
Common shares   
Balance at beginning of year582
 577
Common shares issued, net28
 5
Balance at end of period610
 582
    
Additional paid-in capital 
  
Balance at beginning of year531,687
 467,339
Preferred shares converted to common shares611,653
 
Issue costs on preferred shares(7,946) (15,101)
Reversal of original issue costs on redeemed preferred shares6,735
 
All other70,831
 63,966
Balance at end of period1,212,960
 516,204
    
Retained earnings 
  
Balance at beginning of year7,996,701
 7,332,032
Cumulative effect of an accounting change(314) 
Balance at beginning of year, as adjusted7,996,387
 7,332,032
Net income427,917
 728,604
Net (income) loss attributable to noncontrolling interests(23,279) (109,879)
Preferred share dividends(34,936) (16,453)
Loss on redemption of preferred shares(6,735) 
Balance at end of period8,359,354
 7,934,304
    
Accumulated other comprehensive income (loss), net of deferred income tax   
Balance at beginning of year(114,541) (16,502)
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:   
Balance at beginning of year(27,641) 50,085
Unrealized holding gains (losses) arising during period, net of reclassification adjustment214,043
 142,413
Portion of other-than-temporary impairment losses recognized in other comprehensive income, net of deferred income tax
 (150)
Balance at end of period186,402
 192,348
Foreign currency translation adjustments:   
Balance at beginning of year(86,900) (66,587)
Foreign currency translation adjustments29,701
 (6,150)
Foreign currency translation adjustments attributable to noncontrolling interests479
 141
Balance at end of period(56,720) (72,596)
Balance at end of period129,682
 119,752
    
Common shares held in treasury, at cost   
Balance at beginning of year(2,034,570) (1,941,904)
Shares repurchased for treasury(19,074) (89,955)
Balance at end of period(2,053,644) (2,031,859)
    
Total shareholders’ equity available to Arch8,911,144
 7,313,983
Non-redeemable noncontrolling interests860,898
 834,808
Total shareholders’ equity$9,772,042
 $8,148,791
CONSOLIDATED STATEMENTS OF CHANGES IN SHAREHOLDERS’ EQUITY

(U.S. dollars in millions)

(Unaudited)(Unaudited)
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Non-cumulative preferred shares  
Balance at beginning and end of period$830 $830 $830 $830 
Common shares
Balance at beginning and end of period
Additional paid-in capital  
Balance at beginning of period2,278 2,170 2,211 2,085 
Amortization of share-based compensation15 14 73 80 
Other changes13 22 
Balance at end of period2,297 2,187 2,297 2,187 
Retained earnings  
Balance at beginning of period17,258 15,036 15,892 14,456 
Net income (loss)723 18 2,109 620 
Net (income) loss attributable to noncontrolling interests— (1)— (3)
Preferred share dividends(10)(10)(30)(30)
Balance at end of period17,971 15,043 17,971 15,043 
Accumulated other comprehensive income (loss), net of deferred income tax
Balance at beginning of period(1,319)(1,258)(1,646)(65)
Unrealized appreciation (decline) in value of available-for-sale investments, net of deferred income tax:
Balance at beginning of period(1,192)(1,109)(1,512)13 
Unrealized holding gains (losses) during period, net of reclassification adjustment(94)(564)226 (1,686)
Balance at end of period(1,286)(1,673)(1,286)(1,673)
Foreign currency translation adjustments, net of deferred income tax:
Balance at beginning of period(127)(149)(134)(78)
Foreign currency translation adjustments(40)(70)(33)(141)
Balance at end of period(167)(219)(167)(219)
Balance at end of period(1,453)(1,892)(1,453)(1,892)
Common shares held in treasury, at cost
Balance at beginning of period(4,407)(4,361)(4,378)(3,761)
Shares repurchased for treasury— (12)(29)(612)
Balance at end of period(4,407)(4,373)(4,407)(4,373)
Total shareholders’ equity$15,239 $11,796 $15,239 $11,796 
See Notes to Consolidated Financial Statements


ARCH CAPITALACGL 201782023 THIRD QUARTER FORM 10-Q9


ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
CONSOLIDATED STATEMENTS OF CASH FLOWS
(U.S. dollars in thousands)
 (Unaudited)
 Nine Months Ended
 September 30,
 2017 2016
Operating Activities 
  
Net income$427,917
 $728,604
Adjustments to reconcile net income to net cash provided by operating activities:   
Net realized (gains) losses(141,944) (262,112)
Net impairment losses recognized in earnings5,415
 16,849
Equity in net income or loss of investment funds accounted for using the equity method and other income or loss(63,784) 8,157
Amortization of intangible assets93,942
 14,493
Share-based compensation58,308
 46,311
Changes in:   
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable602,652
 277,277
Unearned premiums, net of ceded unearned premiums230,581
 243,109
Premiums receivable(167,143) (198,909)
Deferred acquisition costs(73,631) (40,906)
Reinsurance balances payable37,528
 49,198
Other items, net71,293
 155,068
Net Cash Provided By Operating Activities1,081,134
 1,037,139
Investing Activities 
  
Purchases of fixed maturity investments(28,079,129) (27,840,555)
Purchases of equity securities(667,135) (377,767)
Purchases of other investments(1,406,528) (1,008,774)
Proceeds from sales of fixed maturity investments27,629,474
 26,731,924
Proceeds from sales of equity securities751,873
 464,904
Proceeds from sales, redemptions and maturities of other investments938,581
 879,330
Proceeds from redemptions and maturities of fixed maturity investments747,621
 540,823
Net settlements of derivative instruments(20,952) 23,396
Net (purchases) sales of short-term investments(964,653) (604,162)
Change in cash collateral related to securities lending148,692
 (27,935)
Acquisitions, net of cash(27,709) (20,911)
Purchases of fixed assets(16,862) (11,565)
Other86,145
 (3,816)
Net Cash Provided By (Used For) Investing Activities(880,582) (1,255,108)
Financing Activities 
  
Proceeds from issuance of preferred shares, net222,054
 434,899
Redemption of preferred shares(230,000) 
Purchases of common shares under share repurchase program
 (75,256)
Proceeds from common shares issued, net(7,484) (3,785)
Proceeds from borrowings238,915
 46,000
Repayments of borrowings(172,000) (179,171)
Change in cash collateral related to securities lending(148,692) 27,935
Dividends paid to redeemable noncontrolling interests(13,491) (13,491)
Other(49,280) 33,113
Preferred dividends paid(34,936) (16,453)
Net Cash Provided By (Used For) Financing Activities(194,914) 253,791
    
Effects of exchange rate changes on foreign currency cash13,781
 (10,332)
    
Increase (decrease) in cash19,419
 25,490
Cash beginning of year842,942
 553,326
Cash end of period$862,361
 $578,816
    
Income taxes paid$47,907
 $40,742
Interest paid$64,613
 $35,234
(U.S. dollars in millions)

(Unaudited)
Nine Months Ended
September 30,
 20232022
Operating Activities  
Net income (loss)$2,109 $620 
Adjustments to reconcile net income (loss) to net cash provided by operating activities:
Net realized (gains) losses367 742 
Equity in net (income) or loss of investment funds accounted for using the equity method and other income or loss(104)107 
Amortization of intangible assets71 80 
Share-based compensation73 80 
Changes in:
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable1,604 1,554 
Unearned premiums, net of ceded unearned premiums1,111 1,125 
Premiums receivable(1,333)(1,096)
Deferred acquisition costs(190)(242)
Reinsurance balances payable692 128 
Other items, net(316)(264)
Net cash provided by operating activities4,084 2,834 
Investing Activities  
Purchases of fixed maturity investments(13,024)(13,065)
Purchases of equity securities(176)(787)
Purchases of other investments(1,112)(1,270)
Proceeds from sales of fixed maturity investments9,655 9,990 
Proceeds from sales of equity securities216 1,540 
Proceeds from sales, redemptions and maturities of other investments345 1,075 
Proceeds from redemptions and maturities of fixed maturity investments589 578 
Net settlements of derivative instruments(69)(106)
Net (purchases) sales of short-term investments(323)(152)
Purchases of fixed assets(37)(37)
Other— 128 
Net cash used for investing activities(3,936)(2,106)
Financing Activities  
Purchases of common shares under share repurchase program— (586)
Proceeds from common shares issued, net(3)
Change in third party investment in redeemable noncontrolling interests(22)— 
Other(5)(85)
Preferred dividends paid(30)(30)
Net cash used for financing activities(52)(704)
Effects of exchange rate changes on foreign currency cash and restricted cash(14)(80)
Increase (decrease) in cash and restricted cash82 (56)
Cash and restricted cash, beginning of year1,273 1,314 
Cash and restricted cash, end of period$1,355 $1,258 

See Notes to Consolidated Financial Statements


ARCH CAPITALACGL 201792023 THIRD QUARTER FORM 10-Q10

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



1.    GeneralBasis of Presentation and Recent Accounting Pronouncements

General
Arch Capital Group Ltd. (“ACGL”Arch Capital”) 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 ACGLArch Capital and its subsidiaries. The Company’s consolidated financial statements include the results
Basis of Watford Holdings Ltd. and its wholly owned subsidiaries. See Note 3.
On December 31, 2016, the Company completed the acquisition of United Guaranty Corporation, a North Carolina corporation (“UGC”) pursuant to a stock purchase agreement with American International Group, Inc. (“AIG”). The acquisition of UGC (“UGC acquisition”) expanded the scale of Arch’s existing mortgage insurance businesses by combining UGC’s position as the market leader in the U.S. private mortgage insurance industry with Arch’s financial strength and history of innovation, further diversifying the Company’s business profile and customer base.Presentation
The interim consolidated financial statements have been prepared in conformity with accounting principles generally accepted in the United States of America (“GAAP”). 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. In the opinion of management, the accompanying unaudited interim consolidated financial statements reflect all adjustments (consisting of normally recurring accruals) necessary for a fair statement of results on an interim basis. The results of any interim period are not necessarily indicative of the results for a full year or any future periods.
Certain information and footnote disclosures normally included in financial statements prepared in accordance with GAAP have been condensed or omitted; however, management believes that the disclosures are adequate to make the information presented not misleading. This report should be read in conjunction with the Company’s Annual Report on Form 10-K for the year ended December 31, 20162022 (“20162022 Form 10-K”), including the Company’s audited consolidated financial statements and related notes.
The Company has reclassified the presentation of certain prior year information to conform to the current presentation, including the presentation of ‘amortization of intangible assets’ on its consolidated statements of income to split out such item
(previously reflected in acquisition expenses and/or other operating expenses).presentation. Such reclassifications had no effect on the Company’s net income, comprehensive income, shareholders’ equity or cash flows. TabularAll amounts are in U.S. Dollars in thousands,millions, except per share amounts, unless otherwise noted.
2.    Recent Accounting Pronouncements

Recently Issued Accounting Standards Adopted
The Company adopted Financial Accounting Standards Board (“FASB”) Accounting Standard Update (“ASU”) 2016-09, “Compensation - Stock Compensation (Topic 718) - Improvements to Employee Share-Based Payment Accounting,” effective January 1, 2017. This ASU was issued in the 2016 first quarter to improve and simplify theFor information regarding additional accounting for employee share-based payment transactions. This ASU provides simplifications with respect to income tax consequences, classification of awards as either equity or liabilities, and classification on the statement of cash flows for these types of transactions. With respect to the forfeiture accounting policy election,standards that the Company has elected to account for forfeitures as they occur, which did not result in a material cumulative effect adjustment. With respect to the change in presentation in the statement of cash flows related to excess tax benefits, the Company has applied the guidance prospectively and prior periods have not been adjusted.
Recently Issuedyet adopted, see note 3(t), “Significant Accounting Standards Not Yet Adopted
ASU 2014-09, “Revenue from Contracts with Customers (Topic 606),Policies—Recent Accounting Pronouncements, was issued in the 2014 second quarter and updated through various ASUs in 2016. This ASU (and as updated in 2016) creates a new comprehensive revenue recognition standard that will serve as a single source of revenue guidance for all companies in all industries. The guidance applies to all companies that either enter into contracts with customers to transfer goods or services or enter into contracts for the transfer of non-financial assets, unless those contracts are within the scope of other standards, such as insurance contracts or financial instruments.The ASU also requires enhanced disclosures about revenue. The ASU is effective in the 2018 first quarter and the Company intends on adopting the ASU using the modified retrospective method, whereby the cumulative effect of adoption will be recognized as an adjustment to retained earnings at the date of initial application. The adoption of this ASU will not impact the Company's insurance premium revenues or revenues from its investment portfolio, which represent a substantial portion of consolidated revenues, but may have an impact on the Company's other revenues. Based on the Company’s evaluation of the impacted revenue streams, the ASU is not expectednotes to have a material effect on the Company’s consolidated financial statements andin the cumulative effect adjustment to retained earnings at the date of initial application is not expected to be material.
Company’s 2022 Form 10-K.

2.    Share Transactions
Share Repurchases
The Board of Directors of Arch Capital has authorized the investment in Arch Capital’s common shares through a share repurchase program. At September 30, 2023, $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, 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.
Employee Share Purchase Plan
Upon shareholder approval on May 4, 2023, the Amended and Restated Arch Capital Group Ltd. 2007 Employee Share Purchase Plan (the “ESPP”) became effective. The total common shares that may be purchased under the ESPP was increased by 3.0 million shares for a total of 12.75 million shares authorized. The purpose of the ESPP is to give employees of the Company an opportunity to purchase common shares through payroll deductions, thereby encouraging employees to share in the economic growth and success of the Company. The ESPP is designed to qualify as an “employee share purchase plan” under Section 423 of the Internal Revenue Code of 1986, as amended. At September 30, 2023, 3.7 million shares remain available for issuance.
ARCH CAPITALACGL 2017 102023 THIRD QUARTER FORM 10-Q11

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

3.    Earnings Per Common Share

ASU 2016-01, “Financial Instruments - Overall (Subtopic 825-10) - Recognition and Measurement of Financial Assetsand Financial Liabilities,” was issued in the 2016 first quarter to enhance the reporting model for financial instruments and to provide improved financial information to readers of the financial statements. Among other provisions focused on improving the recognition and measurement of financial instruments, the ASU requires that equity investments be measured at fair value on the balance sheet with changes in fair value reported in the income statement and that an exit price notion be used when measuring the fair value of financial instruments for disclosure purposes. The ASU is effective in the 2018 first quarter and, aside from limited situations, cannot be early adopted. The Company is currently assessing the impact the implementation of this ASU will have on its consolidated financial statements. The adoption of this ASU is not expected to have a material impact on the Company's financial position, cash flows, or total comprehensive income, but will have a material impact on the Company's results of operations as changes in fair value of equity instruments will be presented in net income rather than other comprehensive income.

ASU 2016-18, "Statement of Cash Flows (Topic 230) - Restricted Cash " was issued in the 2016 fourth quarter. The ASU requires that restricted cash and restricted cash equivalents be included with cash and cash equivalents in the reconciliation of beginning and ending cash on the statements of cash flows. As a result, transfers between cash and cash equivalents and restricted cash and restricted cash equivalents will no longer be presented on the statement of cash flows. The ASU is effective, with retrospective adoption, for interim and annual periods beginning after December 15, 2017, with early adoption permitted. The Company is currently assessing the impact the implementation of this ASU will have on its consolidated financial statements. The adoption of this ASU is not expected to have a material effect on the Company’s results of operations, financial position, comprehensive income or net cash provided from operating activities.

ASU 2017-08, “Receivables - Nonrefundable Fees and Other Costs (Subtopic 310-20): Premium Amortization on Purchased Callable Debt Securities,” was issued in the 2017 first quarter.The ASU amends the amortization period for certain purchased callable debt securities held at a premium by shortening the amortization period for the premium to the earliest call date. The ASU will be effective for the Company on January 1, 2019 and is required to be applied using a modified retrospective approach through a cumulative-effect adjustment to retained earnings as of the beginning of the first reporting period in which the guidance is effective. The Company is currently assessing the impact the implementation of this ASU will have on its consolidated financial statements. The adoption of this
ASU is not expected to have a material effect on the Company’s results of operations, financial position or cash flows.

ASU 2017-09, “Compensation - Stock Compensation (Topic 718) - Scope of Modification Accounting” was issued in the 2017 second quarter. The ASU provides updated guidance to clarify when to account for a change to the terms or conditions of a share-based payment award as a modification. Under the new guidance, modification accounting is required only if the fair value, the vesting conditions, or the classification of the award (as equity or liability) changes as a result of the change in terms or conditions. The ASU is effective prospectively for all companies for annual periods beginning on or after December 15, 2017, with early adoption permitted. The adoption of this ASU is not expected to have a material effect on the Company’s results of operations, financial position or cash flows.

3.Variable Interest Entities and Noncontrolling Interests

A variable interest entity (“VIE”) refers to an entity that has characteristics such as (i) insufficient equity at risk to allowThe following table sets forth the entity to finance its activities without additional financial support or (ii) instances where the equity investors, as a group, docomputation of basic and diluted earnings per common share:
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Numerator:
Net income (loss)$723 $18 $2,109 $620 
Net (income) loss attributable to noncontrolling interests— (1)— (3)
Net income (loss) available to Arch723 17 2,109 617 
Preferred dividends(10)(10)(30)(30)
Net income (loss) available to Arch common shareholders$713 $$2,079 $587 
Denominator:
Weighted average common shares and common share equivalents outstanding — basic369.2 365.2 368.4 369.5 
Effect of dilutive common share equivalents:
Nonvested restricted shares2.6 2.3 2.4 2.2 
Stock options (1)7.6 6.2 7.5 6.7 
Weighted average common shares and common share equivalents outstanding — diluted379.4 373.7 378.3 378.4 
Earnings per common share:
Basic$1.93 $0.02 $5.64 $1.59 
Diluted$1.88 $0.02 $5.50 $1.55 
(1)    Certain stock options were not have characteristics of a controlling financial interest. The primary beneficiary of a VIE 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. If a company is determined to be the primary beneficiary, it is required to consolidate the VIE in its financial statements.
Watford Holdings Ltd.
In March 2014, the Company invested $100.0 million and acquired approximately 11% of Watford Holdings Ltd.’s common equity and a warrant to purchase additional common equity. Watford Holdings Ltd. is the parent of Watford Re Ltd., a multi-line Bermuda reinsurance company (together with Watford Holdings Ltd., “Watford Re”). Watford Re is considered a VIE and the Company concluded that it is the primary beneficiary of Watford Re. As such, the results of Watford Re are included in the Company’s consolidated financial statements.
The Company does not guaranteecomputation 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 provide credit support for Watford Re,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 the Company’s financial exposure to Watford Re is limited to its investment in Watford Re’s common2023 third quarter and preferred shares2022 third quarter, the number of stock options excluded were 0.3 million and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.

0.8 million, respectively. For the nine months ended September 30, 2023 and 2022, the number of stock options excluded were 0.5 million and 0.8 million, respectively.
ARCH CAPITALACGL 2017 112023 THIRD QUARTER FORM 10-Q12

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

The following table provides the carrying amount and balance sheet caption in which the assets and liabilities of Watford Re are reported:
 September 30, December 31,
 2017 2016
Assets   
Investments accounted for using the fair value option$2,457,365
 $1,857,623
Cash57,151
 74,893
Accrued investment income13,718
 17,017
Premiums receivable209,985
 189,911
Reinsurance recoverable on unpaid and paid losses and LAE37,575
 24,420
Ceded unearned premiums23,538
 12,145
Deferred acquisition costs87,692
 86,379
Receivable for securities sold74,051
 1,326
Goodwill and intangible assets7,650
 7,650
Other assets132,796
 111,386
Total assets of consolidated VIE$3,101,521
 $2,382,750
    
Liabilities   
Reserves for losses and loss adjustment expenses$735,132
 $510,809
Unearned premiums344,060
 293,480
Reinsurance balances payable22,487
 12,289
Revolving credit agreement borrowings426,242
 256,650
Payable for securities purchased211,065
 42,922
Other liabilities174,472
 88,976
Total liabilities of consolidated VIE$1,913,458
 $1,205,126
    
Redeemable noncontrolling interests$220,529
 $220,253
For the nine months ended September 30, 2017, Watford Re generated $221.9 million of cash provided by operating activities, $394.4 million of cash used for investing activities and $152.5 million of cash provided by financing activities, compared to $207.0 million of cash provided by operating activities, $124.0 million of cash used for investing activities and $119.6 million of cash used for financing activities for the nine months ended September 30, 2016.
Non-redeemable noncontrolling interests
The Company accounts for the portion of Watford Re’s common equity attributable to third party investors in the shareholders’ equity section of its consolidated balance sheets. The noncontrolling ownership in Watford Re’s common shares was approximately 89% at September 30, 2017. The portion of Watford Re’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:
 September 30,
 2017 2016
Three Months Ended   
Balance, beginning of period$877,456
 $788,589
Amounts attributable to noncontrolling interests(16,147) 46,160
Foreign currency translation adjustments attributable to noncontrolling interests(411) 59
Balance, end of period$860,898
 $834,808
    
Nine Months Ended   
Balance, beginning of year$851,854
 $738,831
Amounts attributable to noncontrolling interests9,523
 96,118
Foreign currency translation adjustments attributable to noncontrolling interests(479) (141)
Balance, end of period$860,898
 $834,808
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 relate to the 9,065,200 cumulative redeemable preference shares (“Watford Preference Shares”) issued in March 2014 with a par value of $0.01 per share and a liquidation preference of $25.00 per share. 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.
The following table sets forth activity in the redeemable non-controlling interests:
 September 30,
 2017 2016
Three Months Ended   
Balance, beginning of period$205,736
 $205,366
Accretion of preference share issuance costs93
 93
Balance, end of period$205,829
 $205,459
    
Nine Months Ended   
Balance, beginning of year$205,553
 $205,182
Accretion of preference share issuance costs276
 277
Balance, end of period$205,829
 $205,459

4.    Segment Information
ACGL 2017 THIRD QUARTER FORM 10-Q13

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

The portion of Watford Re’s income or loss attributable to third party investors, recorded in the Company’s consolidated statements of income in ‘net (income) loss attributable to noncontrolling interests,’ are summarized in the table below:
 September 30,
 2017 2016
Three Months Ended   
Amounts attributable to non-redeemable noncontrolling interests$16,147
 $(46,160)
Dividends attributable to redeemable noncontrolling interests(4,586) (4,588)
Net (income) loss attributable to noncontrolling interests$11,561
 $(50,748)
    
Nine Months Ended   
Amounts attributable to non-redeemable noncontrolling interests$(9,523) $(96,118)
Dividends attributable to redeemable noncontrolling interests(13,756) (13,761)
Net (income) loss attributable to noncontrolling interests$(23,279) $(109,879)
Bellemeade Re I and II
Upon closing of the UGC acquisition, the Company acquired the rights and obligations related to aggregate excess of loss reinsurance agreements with Bellemeade Re I Ltd. (“Bellemeade I”), entered into in July 2015, and with Bellemeade Re II Ltd. (“Bellemeade II”), entered into in May 2016 (the “Bellemeade Agreements”). Bellemeade I and Bellemeade II are special purpose reinsurance companies domiciled in Bermuda, each of which provided for up to approximately $300 million of aggregate excess of loss reinsurance coverage at inception for new delinquencies on portfolios of in-force policies issued.
As a result of the evaluation of the Bellemeade Agreements, the Company concluded that both Bellemeade I and Bellemeade II are VIEs. However, given that the ceding insurers do not have the unilateral power to direct those activities that are significant to the economic performance of Bellemeade I and Bellemeade II, the Company does not consolidate Bellemeade I and Bellemeade II in its consolidated financial statements.
The following table presents total assets of Bellemeade I and Bellemeade II as well as the Company’s maximum exposure to loss associated with these VIEs:
   Maximum Exposure to Loss
 Total VIE Assets On-Balance Sheet Off-Balance Sheet Total
Bellemeade I$112,090
 $533
 $1,009
 $1,542
Bellemeade II191,387
 (53) 746
 693
Total$303,477
 $480
 $1,755
 $2,235
See note 18, “Subsequent Event.”
Irving Partners Limited Partnership
Upon closing of the UGC acquisition, the Company acquired a limited partnership interest in Irving Partners Limited Partnership (“Irving Partners”), which owns and operates an office building in Greensboro, North Carolina in which the Company is the main tenant. The Company concluded that Irving Partners is a VIE but that it is not the primary beneficiary. During the 2017 third quarter, the Company’s ownership in Irving Partners was sold to a third party for approximately $14.5 million.

ACGL 2017 THIRD QUARTER FORM 10-Q14

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

4.    Earnings (Loss) Per Common Share

Due to the net loss recorded in the 2017 third quarter, diluted weighted average common shares and common share equivalents outstanding for the 2017 third quarter do not include the effect of 4.7 million otherwise dilutive securities since the inclusion of such securities is anti-dilutive to per share results. Since the Company reported net income for the other periods presented, the computation of diluted average shares outstanding includes dilutive securities for such periods.
The following table sets forth the computation of basic and diluted earnings (loss) per common share:
 Three Months Ended
Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Numerator:       
Net income (loss)$(45,217) $303,620
 $427,917
 $728,604
Amounts attributable to noncontrolling interests11,561
 (50,748) (23,279) (109,879)
Net income (loss) available to Arch(33,656) 252,872
 404,638
 618,725
Preferred dividends(12,369) (5,484) (34,936) (16,453)
Loss on redemption of preferred shares(6,735) 
 (6,735) 
Net income (loss) available to Arch common shareholders$(52,760) $247,388
 $362,967
 $602,272
        
Denominator:       
Weighted average common shares outstanding129,211,251
 120,938,916
 124,526,611
 120,656,420
Series D preferred shares (1)5,674,200
 
 9,945,518
 
Weighted average common shares and common share equivalents outstanding — basic134,885,451
 120,938,916
 134,472,129
 120,656,420
Effect of dilutive common share equivalents:       
Nonvested restricted shares
 1,313,025
 1,459,879
 1,295,825
Stock options (2)
 2,679,712
 3,290,316
 2,575,929
Weighted average common shares and common share equivalents outstanding — diluted (3)134,885,451
 124,931,653
 139,222,324
 124,528,174
        
Earnings (loss) per common share:       
Basic$(0.39) $2.05
 $2.70
 $4.99
Diluted$(0.39) $1.98
 $2.61
 $4.84
(1)Such shares are convertible non-voting common equivalent preferred shares issued in connection with the UGC acquisition.
(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 the 2017 third quarter and 2016 third quarter, the number of stock options excluded were nil and 334,203, respectively. For the nine months ended September 30, 2017 and 2016, the number of stock options excluded were 838,868 and 842,105, respectively.


ACGL 2017 THIRD QUARTER FORM 10-Q15

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

5.    Segment Information

The Company classifies its businesses into three underwriting segments — insurance, reinsurance and mortgage — and two other operating segments — ‘other’ and corporate (non-underwriting). 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 Chairman andmakers. The Chief Executive Officer, the Chief Financial Officer and Treasurer and the President and Chief OperatingUnderwriting Officer andare the Chief Financial Officer of ACGL. TheCompany’s chief operating decision makersmakers. They 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 intangible assets, and accordingly, investment income is not allocated to each underwriting segment.
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 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; excess and surplus casualty; lenders products; professional lines; programs; property, energy, marine and aviation; travel, accident and health; warranty and lenders solutions; and other (consisting of alternative markets, excess workers' compensation and surety business).
The reinsurance segment consists of the Company’s reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include: casualty; marine and aviation; other specialty; property catastrophe; property excluding property catastrophe (losses on a single risk, both excess of loss and pro rata); and other (consisting of life reinsurance, casualty clash and other).
The mortgage segment includes the Company’s U.S. primary mortgage insurance business, investment and services related to U.S. credit-risk transfer (“CRT”) which are predominately with government sponsored enterprises (“GSEs”) and international mortgage insurance and reinsurance operations as well as government sponsored enterprise (“GSE”) credit-risk sharing transactions.operations. Arch Mortgage Insurance Company, United Guaranty Residential Insurance Company and United Guaranty Mortgage IndemnityResidential Insurance Company (combined “Arch MI U.S.”) are approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE. Arch MI U.S. also includes Arch Mortgage Guaranty Company, which is not a GSE-approved entity.
The corporate (non-underwriting) segment results include net investment income, other income (loss), corporate expenses, UGC transaction costs and other, interest expense, items related to the Company’s non-cumulative preferred shares, net realized gains or losses net impairment(which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses includedon derivative instruments and changes in earnings,the allowance for credit losses on financial assets), equity in net income or loss of investment funds 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, and income taxes. Such amounts exclude the results of the ‘other’ segment.
The ‘other’ segment includes the results of Watford Re (see Note 3). Watford Re 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 nettaxes items, income or loss.loss from operating affiliates and items related to the Company’s non cumulative preferred shares.


ARCH CAPITALACGL 2017 122023 THIRD QUARTER FORM 10-Q16

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

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:
Three Months Ended
September 30, 2023
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$2,043 $2,138 $347 $4,527 
Premiums ceded(521)(576)(76)(1,172)
Net premiums written1,522 1,562 271 3,355 
Change in unearned premiums(110)(19)22 (107)
Net premiums earned1,412 1,543 293 3,248 
Other underwriting income (loss)— 
Losses and loss adjustment expenses(812)(870)35 (1,647)
Acquisition expenses(269)(304)(2)(575)
Other operating expenses(202)(61)(47)(310)
Underwriting income (loss)$129 $310 $282 721 
Net investment income269 
Net realized gains (losses)(248)
Equity in net income (loss) of investment funds accounted for using the equity method59 
Other income (loss)(4)
Corporate expenses (2)(20)
Transaction costs and other (2)— 
Amortization of intangible assets(24)
Interest expense(34)
Net foreign exchange gains (losses)22 
Income (loss) before income taxes and income (loss) from operating affiliates741 
Income tax (expense) benefit(72)
Income (loss) from operating affiliates54 
Net income (loss)723 
Net (income) loss attributable to noncontrolling interests— 
Net income (loss) available to Arch723 
Preferred dividends(10)
Net income (loss) available to Arch common shareholders$713 
Underwriting Ratios
Loss ratio57.5 %56.4 %(12.1)%50.7 %
Acquisition expense ratio19.1 %19.7 %0.6 %17.7 %
Other operating expense ratio14.3 %3.9 %16.2 %9.5 %
Combined ratio90.9 %80.0 %4.7 %77.9 %
Goodwill and intangible assets$220 $132 $387 $739 
 Three Months Ended
 September 30, 2017
 Insurance Reinsurance Mortgage Sub-Total Other Total
            
Gross premiums written (1)$787,447
 $422,083
 $347,951
 $1,557,179
 $166,198
 $1,648,246
Premiums ceded(222,516) (105,389) (57,900) (385,503) (12,471) (322,843)
Net premiums written564,931
 316,694
 290,051
 1,171,676
 153,727
 1,325,403
Change in unearned premiums(29,766) 6,879
 (15,533) (38,420) (25,097) (63,517)
Net premiums earned535,165
 323,573
 274,518
 1,133,256
 128,630
 1,261,886
Other underwriting income (loss)
 1,728
 3,599
 5,327
 737
 6,064
Losses and loss adjustment expenses(568,795) (318,609) (35,156) (922,560) (123,581) (1,046,141)
Acquisition expenses(82,638) (57,340) (21,803) (161,781) (32,073) (193,854)
Other operating expenses(90,875) (36,214) (34,770) (161,859) (8,268) (170,127)
Underwriting income (loss)$(207,143) $(86,862) $186,388
 (107,617) (34,555) (142,172)
            
Net investment income      94,127
 22,332
 116,459
Net realized gains (losses)      64,104
 2,171
 66,275
Net impairment losses recognized in earnings      (1,878) 
 (1,878)
Equity in net income (loss) of investment funds accounted for using the equity method      31,090
 
 31,090
Other income (loss)      (342) 
 (342)
Corporate expenses (2)      (14,108) 
 (14,108)
UGC transaction costs and other (2)      (2,990) 
 (2,990)
Amortization of intangible assets      (31,824) 
 (31,824)
Interest expense      (26,264) (3,246) (29,510)
Net foreign exchange gains (losses)      (27,785) (243) (28,028)
Income (loss) before income taxes      (23,487) (13,541) (37,028)
Income tax (expense) benefit      (8,168) (21) (8,189)
Net income (loss)      (31,655) (13,562) (45,217)
Dividends attributable to redeemable noncontrolling interests      
 (4,586) (4,586)
Amounts attributable to nonredeemable noncontrolling interests      
 16,147
 16,147
Net income (loss) available to Arch      (31,655) (2,001) (33,656)
Preferred dividends      (12,369) 
 (12,369)
Loss on redemption of preferred shares      (6,735) 
 (6,735)
Net income (loss) available to Arch common shareholders      $(50,759) $(2,001) $(52,760)
            
Underwriting Ratios 
  
  
    
  
Loss ratio106.3% 98.5% 12.8% 81.4% 96.1% 82.9%
Acquisition expense ratio15.4% 17.7% 7.9% 14.3% 24.9% 15.4%
Other operating expense ratio17.0% 11.2% 12.7% 14.3% 6.4% 13.5%
Combined ratio138.7% 127.4% 33.4% 110.0% 127.4% 111.8%
            
Goodwill and intangible assets$23,445
 $417
 $652,893
 $676,755
 $7,650
 $684,405
(1)(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.
(2)Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘UGC transaction costs and other.’


(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

ARCH CAPITALACGL 2017 132023 THIRD QUARTER FORM 10-Q17

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

Three Months Ended
September 30, 2022
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$1,862 $1,639 $362 $3,861 
Premiums ceded(493)(560)(86)(1,137)
Net premiums written1,369 1,079 276 2,724 
Change in unearned premiums(182)(77)(253)
Net premiums earned1,187 1,002 282 2,471 
Other underwriting income (loss)— — 
Losses and loss adjustment expenses(823)(928)68 (1,683)
Acquisition expenses(233)(208)(7)(448)
Other operating expenses(165)(63)(47)(275)
Underwriting income (loss)$(34)$(197)$299 68 
Net investment income129 
Net realized gains (losses)(184)
Equity in net income (loss) of investment funds accounted for using the equity method(19)
Other income (loss)(14)
Corporate expenses (2)(18)
Transaction costs and other (2)— 
Amortization of intangible assets(26)
Interest expense(33)
Net foreign exchange gains (losses)91 
Income (loss) before income taxes and income (loss) from operating affiliates(6)
Income tax (expense) benefit15 
Income (loss) from operating affiliates
Net income (loss)18 
Net (income) loss attributable to noncontrolling interests(1)
Net income (loss) available to Arch17 
Preferred dividends(10)
Net income (loss) available to Arch common shareholders$
Underwriting Ratios    
Loss ratio69.3 %92.6 %(24.1)%68.1 %
Acquisition expense ratio19.6 %20.8 %2.4 %18.1 %
Other operating expense ratio13.9 %6.3 %16.5 %11.1 %
Combined ratio102.8 %119.7 %(5.2)%97.3 %
Goodwill and intangible assets$225 $141 $441 $807 

 Three Months Ended
 September 30, 2016
 Insurance Reinsurance Mortgage Sub-Total Other Total
            
Gross premiums written (1)$758,934
 $324,361
 $131,726
 $1,214,765
 $163,736
 $1,278,765
Premiums ceded(217,446) (89,551) (51,182) (357,923) (6,300) (264,487)
Net premiums written541,488
 234,810
 80,544
 856,842
 157,436
 1,014,278
Change in unearned premiums(22,410) 17,117
 (3,582) (8,875) (47,000) (55,875)
Net premiums earned519,078
 251,927
 76,962
 847,967
 110,436
 958,403
Other underwriting income (loss)
 2,216
 4,740
 6,956
 1,024
 7,980
Losses and loss adjustment expenses(332,845) (105,924) (11,107) (449,876) (74,307) (524,183)
Acquisition expenses(77,146) (50,192) (5,190) (132,528) (28,739) (161,267)
Other operating expenses(86,613) (35,389) (24,249) (146,251) (7,035) (153,286)
Underwriting income (loss)$22,474
 $62,638
 $41,156
 126,268
 1,379
 127,647
            
Net investment income      66,282
 27,336
 93,618
Net realized gains (losses)      95,946
 29,159
 125,105
Net impairment losses recognized in earnings      (3,867) 
 (3,867)
Equity in net income (loss) of investment funds accounted for using the equity method      16,662
 
 16,662
Other income (loss)      (400) 
 (400)
Corporate expenses (2)      (11,343) 
 (11,343)
UGC transaction costs and other (2)      (7,142) 
 (7,142)
Amortization of intangible assets      (4,865) 
 (4,865)
Interest expense      (12,924) (3,019) (15,943)
Net foreign exchange gains (losses)      (4,232) 1,611
 (2,621)
Income (loss) before income taxes      260,385
 56,466
 316,851
Income tax (expense) benefit      (13,232) 1
 (13,231)
Net income (loss)      247,153
 56,467
 303,620
Dividends attributable to redeemable noncontrolling interests      
 (4,588) (4,588)
Amounts attributable to nonredeemable noncontrolling interests      
 (46,160) (46,160)
Net income (loss) available to Arch      247,153
 5,719
 252,872
Preferred dividends      (5,484) 
 (5,484)
Net income (loss) available to Arch common shareholders      $241,669
 $5,719
 $247,388
            
Underwriting Ratios 
  
  
    
  
Loss ratio64.1% 42.0% 14.4% 53.1% 67.3% 54.7%
Acquisition expense ratio14.9% 19.9% 6.7% 15.6% 26.0% 16.8%
Other operating expense ratio16.7% 14.0% 31.5% 17.2% 6.4% 16.0%
Combined ratio95.7% 75.9% 52.6% 85.9% 99.7% 87.5%
            
Goodwill and intangible assets$26,367
 $1,228
 $55,696
 $83,291
 $7,650
 $90,941
(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.
(2)Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘UGC transaction(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’




ARCH CAPITALACGL 2017 142023 THIRD QUARTER FORM 10-Q18

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

Nine Months Ended
September 30, 2023
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$5,977 $7,142 $1,037 $14,152 
Premiums ceded(1,564)(2,145)(240)(3,945)
Net premiums written4,413 4,997 797 10,207 
Change in unearned premiums(416)(781)86 (1,111)
Net premiums earned3,997 4,216 883 9,096 
Other underwriting income (loss)— 12 21 
Losses and loss adjustment expenses(2,276)(2,379)46 (4,609)
Acquisition expenses(778)(875)(16)(1,669)
Other operating expenses(592)(203)(147)(942)
Underwriting income (loss)$351 $768 $778 1,897 
Net investment income710 
Net realized gains (losses)(354)
Equity in net income (loss) of investment funds accounted for using the equity method176 
Other income (loss)10 
Corporate expenses (2)(69)
Transaction costs and other (2)(2)
Amortization of intangible assets(71)
Interest expense(99)
Net foreign exchange gains (losses)(1)
Income (loss) before income taxes and income (loss) from operating affiliates2,197 
Income tax (expense) benefit(203)
Income (loss) from operating affiliates115 
Net income (loss)2,109 
Net (income) loss attributable to noncontrolling interests— 
Net income (loss) available to Arch2,109 
Preferred dividends(30)
Net income (loss) available to Arch common shareholders$2,079 
Underwriting Ratios
Loss ratio57.0 %56.4 %(5.3)%50.7 %
Acquisition expense ratio19.5 %20.7 %1.8 %18.3 %
Other operating expense ratio14.8 %4.8 %16.7 %10.4 %
Combined ratio91.3 %81.9 %13.2 %79.4 %
(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.
 Nine Months Ended
 September 30, 2017
 Insurance Reinsurance Mortgage Sub-Total Other Total
            
Gross premiums written (1)$2,313,630
 $1,351,051
 $1,032,800
 $4,697,007
 $473,131
 $4,915,895
Premiums ceded(704,057) (386,743) (194,139) (1,284,465) (35,315) (1,065,537)
Net premiums written1,609,573
 964,308
 838,661
 3,412,542
 437,816
 3,850,358
Change in unearned premiums(51,188) (81,182) (61,776) (194,146) (36,435) (230,581)
Net premiums earned1,558,385
 883,126
 776,885
 3,218,396
 401,381
 3,619,777
Other underwriting income (loss)
 1,143
 11,999
 13,142
 2,377
 15,519
Losses and loss adjustment expenses(1,252,375) (631,669) (84,915) (1,968,959) (319,612) (2,288,571)
Acquisition expenses(236,378) (154,638) (76,235) (467,251) (99,328) (566,579)
Other operating expenses(271,268) (110,458) (108,790) (490,516) (24,311) (514,827)
Underwriting income (loss)$(201,636) $(12,496) $518,944
 304,812
 (39,493) 265,319
            
Net investment income      282,459
 62,998
 345,457
Net realized gains (losses)      110,662
 11,501
 122,163
Net impairment losses recognized in earnings      (5,415) 
 (5,415)
Equity in net income (loss) of investment funds accounted for using the equity method      111,884
 
 111,884
Other income (loss)      (3,118) 
 (3,118)
Corporate expenses (2)      (48,517) 
 (48,517)
UGC transaction costs and other (2)      (21,249) 
 (21,249)
Amortization of intangible assets      (93,942) 
 (93,942)
Interest expense      (77,932) (9,003) (86,935)
Net foreign exchange gains (losses)      (85,451) (1,524) (86,975)
Income (loss) before income taxes      474,193
 24,479
 498,672
Income tax (expense) benefit      (70,734) (21) (70,755)
Net income (loss)      403,459
 24,458
 427,917
Dividends attributable to redeemable noncontrolling interests      
 (13,756) (13,756)
Amounts attributable to nonredeemable noncontrolling interests      
 (9,523) (9,523)
Net income (loss) available to Arch      403,459
 1,179
 404,638
Preferred dividends      (34,936) 
 (34,936)
Loss on redemption of preferred shares      (6,735) 
 (6,735)
Net income (loss) available to Arch common shareholders      $361,788
 $1,179
 $362,967
            
Underwriting Ratios           
Loss ratio80.4% 71.5% 10.9% 61.2% 79.6% 63.2%
Acquisition expense ratio15.2% 17.5% 9.8% 14.5% 24.7% 15.7%
Other operating expense ratio17.4% 12.5% 14.0% 15.2% 6.1% 14.2%
Combined ratio113.0% 101.5% 34.7% 90.9% 110.4% 93.1%
(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’

(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.
(2)Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘UGC transaction costs and other.’



ARCH CAPITALACGL 2017 152023 THIRD QUARTER FORM 10-Q19

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

Nine Months Ended
September 30, 2022
 InsuranceReinsuranceMortgageTotal
Gross premiums written (1)$5,287 $5,151 $1,099 $11,532 
Premiums ceded(1,483)(1,770)(241)(3,489)
Net premiums written3,804 3,381 858 8,043 
Change in unearned premiums(488)(647)10 (1,125)
Net premiums earned3,316 2,734 868 6,918 
Other underwriting income (loss)— 12 
Losses and loss adjustment expenses(2,054)(1,920)187 (3,787)
Acquisition expenses(643)(569)(27)(1,239)
Other operating expenses(493)(199)(150)(842)
Underwriting income (loss)$126 $52 $884 1,062 
Net investment income315 
Net realized gains (losses)(743)
Equity in net income (loss) of investment funds accounted for using the equity method75 
Other income (loss)(35)
Corporate expenses (2)(78)
Transaction costs and other (2)— 
Amortization of intangible assets(80)
Interest expense(99)
Net foreign exchange gains (losses)183 
Income (loss) before income taxes and income (loss) from operating affiliates600 
Income tax (expense) benefit(19)
Income (loss) from operating affiliates39 
Net income (loss)620 
Net (income) loss attributable to noncontrolling interests(3)
Net income (loss) available to Arch617 
Preferred dividends(30)
Net income (loss) available to Arch common shareholders$587 
Underwriting Ratios
Loss ratio61.9 %70.2 %(21.6)%54.7 %
Acquisition expense ratio19.4 %20.8 %3.2 %17.9 %
Other operating expense ratio14.9 %7.3 %17.3 %12.2 %
Combined ratio96.2 %98.3 %(1.1)%84.8 %
(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.
 Nine Months Ended
 September 30, 2016
 Insurance Reinsurance Mortgage Sub-Total Other Total
            
Gross premiums written (1)$2,319,530
 $1,217,804
 $361,440
 $3,898,025
 $421,627
 $4,046,667
Premiums ceded(713,110) (370,068) (62,918) (1,145,347) (15,229) (887,591)
Net premiums written1,606,420
 847,736
 298,522
 2,752,678
 406,398
 3,159,076
Change in unearned premiums(46,603) (43,345) (93,283) (183,231) (59,878) (243,109)
Net premiums earned1,559,817
 804,391
 205,239
 2,569,447
 346,520
 2,915,967
Other underwriting income (loss)
 22,659
 12,670
 35,329
 2,922
 38,251
Losses and loss adjustment expenses(1,011,087) (363,613) (20,102) (1,394,802) (236,922) (1,631,724)
Acquisition expenses(228,806) (160,706) (16,947) (406,459) (95,323) (501,782)
Other operating expenses(263,111) (108,561) (70,590) (442,262) (18,486) (460,748)
Underwriting income (loss)$56,813
 $194,170
 $110,270
 361,253
 (1,289) 359,964
            
Net investment income      207,088
 68,603
 275,691
Net realized gains (losses)      168,735
 61,912
 230,647
Net impairment losses recognized in earnings      (16,849) 
 (16,849)
Equity in net income (loss) of investment funds accounted for using the equity method      32,054
 
 32,054
Other income (loss)      (432) 
 (432)
Corporate expenses (2)      (37,926) 
 (37,926)
UGC transaction costs and other (2)      (7,142) 
 (7,142)
Amortization of intangible assets      (14,493) 
 (14,493)
Interest expense      (37,983) (9,730) (47,713)
Net foreign exchange gains (losses)      (3,812) 2,287
 (1,525)
Income (loss) before income taxes      650,493
 121,783
 772,276
Income tax (expense) benefit      (43,673) 1
 (43,672)
Net income (loss)      606,820
 121,784
 728,604
Dividends attributable to redeemable noncontrolling interests      
 (13,761) (13,761)
Amounts attributable to nonredeemable noncontrolling interests      
 (96,118) (96,118)
Net income (loss) available to Arch      606,820
 11,905
 618,725
Preferred dividends      (16,453) 
 (16,453)
Net income (loss) available to Arch common shareholders      $590,367
 $11,905
 $602,272
            
Underwriting Ratios           
Loss ratio64.8% 45.2% 9.8% 54.3% 68.4% 56.0%
Acquisition expense ratio14.7% 20.0% 8.3% 15.8% 27.5% 17.2%
Other operating expense ratio16.9% 13.5% 34.4% 17.2% 5.3% 15.8%
Combined ratio96.4% 78.7% 52.5% 87.3% 101.2% 89.0%

(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.
(2)Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘UGC transaction(2)    Certain expenses have been excluded from ‘corporate expenses’ and reflected in ‘transaction costs and other.’


ARCH CAPITALACGL 2017 162023 THIRD QUARTER FORM 10-Q20

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

6.5.    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:
Three Months EndedNine Months Ended
September 30,September 30,
2023202220232022
Reserve for losses and loss adjustment expenses at beginning of period$21,268 $18,194 $20,032 $17,757 
Unpaid losses and loss adjustment expenses recoverable6,394 5,686 6,280 5,599 
Net reserve for losses and loss adjustment expenses at beginning of period14,874 12,508 13,752 12,158 
Net incurred losses and loss adjustment expenses relating to losses occurring in:
Current year1,793 1,863 5,012 4,279 
Prior years(146)(180)(403)(492)
Total net incurred losses and loss adjustment expenses1,647 1,683 4,609 3,787 
Net foreign exchange (gains) losses and other(123)(245)(24)(527)
Net paid losses and loss adjustment expenses relating to losses occurring in:
Current year(345)(227)(700)(464)
Prior years(713)(538)(2,297)(1,773)
Total net paid losses and loss adjustment expenses(1,058)(765)(2,997)(2,237)
Net reserve for losses and loss adjustment expenses at end of period15,340 13,181 15,340 13,181 
Unpaid losses and loss adjustment expenses recoverable6,496 6,107 6,496 6,107 
Reserve for losses and loss adjustment expenses at end of period$21,836 $19,288 $21,836 $19,288 
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Reserve for losses and loss adjustment expenses at beginning of period$10,520,511
 $9,471,647
 $10,200,960
 $9,125,250
Unpaid losses and loss adjustment expenses recoverable and deferred charges2,116,210
 2,003,768
 2,083,575
 1,828,837
Net reserve for losses and loss adjustment expenses at beginning of period8,404,301
 7,467,879
 8,117,385
 7,296,413
        
Net incurred losses and loss adjustment expenses relating to losses occurring in:       
Current year1,092,175
 598,940
 2,487,212
 1,848,299
Prior years(45,232) (74,757) (197,839) (216,575)
Discount and accretion on retroactive reinsurance(802) 
 (802) 
Total net incurred losses and loss adjustment expenses1,046,141
 524,183
 2,288,571
 1,631,724
        
Net foreign exchange losses (gains)61,919
 1,463
 168,493
 (13,270)
        
Net paid losses and loss adjustment expenses relating to losses occurring in:       
Current year(167,450) (128,432) (282,952) (285,468)
Prior years(457,183) (304,673) (1,403,769) (1,068,979)
Total net paid losses and loss adjustment expenses(624,633) (433,105) (1,686,721) (1,354,447)
        
Net reserve for losses and loss adjustment expenses at end of period8,887,728
 7,560,420
 8,887,728
 7,560,420
Unpaid losses and loss adjustment expenses recoverable and deferred charges2,463,539
 2,049,769
 2,463,539
 2,049,769
Reserve for losses and loss adjustment expenses at end of period$11,351,267
 $9,610,189
 $11,351,267
 $9,610,189


2017 Third Quarter Catastrophe Losses

The Company’s 2017 third quarter results reflect estimated net losses from current accident year catastrophic events of $347.8 million, net of reinsurance and reinstatement premiums, which consisted of $133.4 million from the reinsurance segment and $214.5 million from the insurance segment. Such amounts were primarily related to Hurricanes Harvey, Irma and Maria, along with the Mexican earthquakes and other more minor global events. In addition, estimated net losses from current accident year catastrophic events for the 2017 third quarter in the ‘other’ segment were $19.8 million.
Development on Prior Year Loss Reserves

20172023 Third Quarter

During the 20172023 third quarter, the Company recorded net favorable development on prior year loss reserves of $45.2$146 million, which consisted of $36.5$10 million from the insurance segment, $44 million from the reinsurance segment $3.0 million from the insurance segment, $21.5and $92 million from the mortgage segmentsegment.
The insurance segment’s net favorable development of $10 million, or 0.7 loss ratio points, for the 2023 third quarter consisted of $30 million of net favorable development in short-tailed and long-tailed lines and $20 million of net adverse development in medium-tailed lines. Net favorable development in short-tailed lines included $8 million of $15.8 millionfavorable development in property (excluding marine), primarily from the ‘other’ segment.2021 and 2022 accident years (i.e., the year in which a loss occurred), $6 million of favorable development in warranty and lenders solutions and $6 million favorable development related to travel and accident business, both primarily from the 2022 accident year. Net favorable development in long-tailed lines included $7 million of favorable development in executive assurance business, primarily from the 2019, 2021 and 2022 accident years, and $7 million of favorable development in alternative markets business, spread across most prior accident years. Net adverse development in medium-tailed lines included
$25 million of adverse development in professional liability, primarily from 2019 and 2020 accident years.
The reinsurance segment’s net favorable development of $36.5$44 million, or 11.32.8 loss ratio points, for the 20172023 third quarter consisted of $16.9$69 million fromof net favorable development in short-tailed lines and $19.6$25 million fromof net adverse development in medium and long-tailed and medium-tailed lines. FavorableNet favorable development in
short-tailed lines included $11.8$29 million from property catastrophe andof favorable development related to property other than property catastrophe reserves, across mostbusiness, primarily from the 2020 to 2022 underwriting years (i.e., all premiums and losses attributable to contracts having an inception or renewal date within the given twelve-month period), reflecting lower levels$22 million of reported and paid claims activity than previously anticipated which ledfavorable development related to decreases in certain loss ratio selections during the period. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $13.4 million based on varying levels of reported and paid claims activity,property catastrophe business, primarily from the 2002 to 20092021 and 2022 underwriting years, and $19 million of favorable development in marine reserves of $4.3 million across mostrelated to other specialty lines, primarily from the 2021 and prior underwriting years.
The insurance segment’s net favorable development of $3.0 million, or 0.6 points, for the 2017 third quarter consisted of $1.8 million of net favorable development in short-tailed lines and $1.2 million of net favorable development in long-tailed and medium-tailed lines. Net favorable development in short-tailed lines primarily resulted from property (including special risk other than marine) reserves from the 2011 to 2016 accident years (i.e., the year in which a loss occurred). Net favorableadverse development in medium-tailed lines included $4 million in marine and aviation lines, primarily from the 2021 underwriting year, while net adverse development in long-tailed lines reflected $11.9 million from professional liability reserves across most accident years and in surety reserves with $4.2 million of favorable development. Such amounts were partially offset by $12.9$21 million of adverse development on a small number of programs in casualty business, primarily from the 20142016 to 2016 accident2020 underwriting years.

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

The mortgage segment’s net favorable development was $21.5$92 million, or 7.831.4 loss ratio points, for the 20172023 third quarter. The 2017 third quarter development wasSuch amounts were primarily driven by continued lower than expected claim emergence across most origination years and also reflected $6.1 million related to secondreductions on reserves for delinquent loans associated with the U.S. first lien portfolio from the 2020 through 2022 accident years. The Company’s credit risk transfer and other portfolios, primarily dueinternational businesses also contributed to subrogation recoveries.the favorable development.
20162022 Third Quarter
During the 20162022 third quarter, the Company recorded net favorable development on prior year loss reserves of $74.8$180 million, which consisted of $59.5$5 million from the insurance segment, $49 million from the reinsurance segment $13.7 million from the insurance segment, $2.5and $126 million from the mortgage segmentsegment.
The insurance segment’s net favorable development of $5 million, or 0.5 loss ratio points, for the 2022 third quarter consisted of $16 million of net favorable development in short-tailed lines and $11 million of net adverse development in medium-tailed and long-tailed lines. Net favorable development in short-tailed lines reflected $9 million of $0.9favorable development in property (excluding marine), primarily from 2020 and 2021 accident years and $6 million of favorable development in warranty and lenders solutions products, primarily from the ‘other’ segment.2021 accident year. Net adverse development in medium-tailed lines included $11 million of adverse development in professional liability business, primarily from the 2013 to 2016 and 2020 accident years, partially offset by favorable development in marine business of $6 million, across most accident years. Net adverse development in long-tailed lines reflected $12 million related to casualty business, primarily from the 2014 and 2020 accident years, partially offset by favorable development in construction, executive assurance and other lines of business.
The reinsurance segment’s net favorable development of $59.5$49 million, or 23.64.9 loss ratio points, for the 20162022 third quarter consisted of $27.7 million from short-tailed lines and $31.8 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $23.2 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years, reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period. Favorable development in long-tailed lines reflected reductions in casualty reserves of $29.3 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2010 underwriting years and 2012 to 2013 underwriting years.
The insurance segment’s net favorable development of $13.7 million, or 2.6 points, for the 2016 third quarter consisted of $18.2$58 million of net favorable development in long-tailedshort-tailed and medium-tailed lines partially offset by $2.4and $9 million of net adverse development in short-tailed lines and $2.0 million of net adverse development in medium-tailedlong-tailed lines. Net favorable development in long-tailedshort-tailed lines reflected net reductions in executive assurance reserves$36 million of favorable development related to property other than property catastrophe business, primarily from 2015 to 2021 underwriting years and $13 million of favorable development related to property catastrophe business, primarily from the 20082014 to 2015 accident years,2017 underwriting years. Net favorable development in medium-tailed lines included $8 million in marine and net reductions in casualty reserves from the 2007 and 2008 accidentaviation lines, across most underwriting years. Net adverse development in short-tailedlong-tailed lines reflected $10 million related to casualty business, primarily resulted from property (including special risk other than marine) reserves from the 2015 accident year, primarily due2014 to a small number of attritional losses. Net adverse development in medium-tailed lines primarily resulted from an increase in programs of $6.2 million stemming in part from terminated programs, partially offset by favorable development of $4.2 million in other medium-tailed lines, primarily in professional liability and surety.2017 underwriting years.
The mortgage segment’s net favorable development was $2.5$126 million, or 3.244.7 loss ratio points, for the 2016 third quarter. The 20162022 third quarter, development was primarily driven by lower than expected claim rates across most originationwith the largest contributor being reserve releases 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.
Nine Months Ended September 30, 20172023
During the nine months ended September 30, 2017,2023, the Company recorded net favorable development on prior year loss reserves of $197.8$403 million, which consisted of $133.3$34 million from the insurance segment, $126 million from the reinsurance segment $7.2 million from the insurance segment, $74.9and $243 million from the mortgage segment and adverse development of $17.5 million from the ‘other’ segment.
The reinsurance segment’s net favorable development of $133.3 million, or 15.1 points, for the 2017 period consisted of $85.8 million from short-tailed lines and $47.5 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $62.7 million from property catastrophe and property other than property catastrophe reserves, across most underwriting years, reflecting lower levels of reported and paid claims activity than previously anticipated which led to decreases in certain loss ratio selections during the period. Favorable development in long-tailed and medium-tailed lines reflected reductions in casualty reserves of $28.0 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2013 underwriting years, and favorable development in marine reserves of $16.6 million across most underwriting years.
The insurance segment’s net favorable development of $7.2$34 million, or 0.50.8 loss ratio points, for the 20172023 period consisted of $9.0$86 million of net favorable development in short-tailedshort and long-tailed lines and $7.4 million of net favorable development in long-tailed lines, partially offset by $9.2$52 million of net adverse development in medium-tailed lines. Net favorable development in short-tailed lines primarily resulted fromreflected $33 million of favorable development in property (including special risk other than(excluding marine) reserves, primarily from the 20112022 accident year, $20 million of favorable development related to 2016warranty and lenders solutions business, primarily from the 2022 accident year and $11 million of favorable development related to travel and accident business, primarily from the 2020 and 2022 accident years. Net favorable development in long-tailed lines reflected net reductionsincluded $24 million of favorable development in executive assurance reservesbusiness, primarily from the 2008 to 20142019 and 2021 accident years, and reductions in healthcare reserves across various accident years, partially offset by $17.2$13 million of adversefavorable development on construction reserves across variousin alternative markets business, from 2021 and prior accident years. Net adverse development in medium-tailed lines included $48 million of adverse development in professional liability business, primarily resulted from an increase in programs of $39.3 million stemming in part from development on a small number of programs in the 20132017 to 20152020 accident years, and $11 million of adverse development in contract binding business, primarily from the 2014 to 2017 accident years. Such amounts were partially offset by $11 million of favorable development in marine business, primarily from 2021 and 2022 accident years.
The reinsurance segment’s net favorable development of $30.1$126 million, in other medium-tailed lines, primarily in professional liability and surety.
The mortgage segment’sor 3.0 loss ratio points, for the 2023 period consisted of $168 million of net favorable development was $74.9from short and medium-tailed lines, partially offset by $42 million or 9.6 points, forof net adverse development from long-tailed lines. Net favorable development in short-tailed lines reflected $75 million of favorable development from property other than property catastrophe business, primarily from the 2017 period. The2021 and 2022 underwriting years, $29 million of favorable development wasfrom property catastrophe, primarily driven by continued lower than expected claim emergence across most originationfrom the 2019 and 2022 underwriting years, $46 million from other specialty business, primarily from the 2021 underwriting year, and also reflected $19.2$12 million related to second lien andof favorable development from other portfolios,lines of business, primarily due to subrogation recoveries.from the 2020 underwriting year.

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

Net favorable development in medium-tailed lines included $5 million in marine and aviation lines, primarily from the 2019 and prior underwriting years. Net adverse development in long-tailed lines primarily reflected $39 million in casualty, primarily from the 2014 to 2020 underwriting years.
The mortgage segment’s net favorable development was $243 million, or 27.5 loss ratio points, for the 2023 period, with the largest contributor being reserve releases associated with the U.S. first lien portfolio from the 2020 to 2022 accident years. The Company’s credit risk transfer and international businesses also contributed to the favorable development.
Nine Months Ended September 30, 20162022
During the nine months ended September 30, 2016,2022, the Company recorded net favorable development on prior year loss reserves of $216.6$492 million, which consisted of $176.7$19 million from the insurance segment, $127 million from the reinsurance segment, $24.8 million from the insurance segment, $16.3$346 million from the mortgage segmentsegment.
The insurance segment’s net favorable development of $19 million, or 0.6 loss ratio points, for the 2022 period consisted of $49 million of net favorable development in short-tailed and $30 million of net adverse development in medium and long-tailed lines. Net favorable development in short-tailed lines reflected $37 million of $1.2 millionfavorable development in warranty and lenders solutions business, primarily from the ‘other’ segment.2021 accident year, and $14 million of favorable development related to travel and accident business, primarily from the 2019 to 2021 accident years. Net adverse development in medium-tailed lines included $25 million of adverse development in professional liability business, primarily from the 2013 to 2015 and 2018 to 2020 accident years, and $6 million of adverse development in contract binding business, across most accident years, partially offset by $11 million of favorable development in marine business, across most accident years. Net adverse development in long-tailed lines reflected $18 million of adverse development related to casualty business, primarily from the 2020 and 2021 accident years, partially offset by $17 million of favorable development in other business, including alternative markets and excess workers’ compensation, primarily from the 2019 and prior accident years.
The reinsurance segment’s net favorable development of $176.7$127 million, or 22.04.7 loss ratio points, for the 20162022 period consisted of $113.1 million from short-tailed lines and $63.6 million from long-tailed and medium-tailed lines. Favorable development in short-tailed lines included $92.6 million from property catastrophe and property other than property catastrophe reserves, across most 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 the period. Favorable development in long-tailed lines reflected reductions in casualty reserves of $66.4 million based on varying levels of reported and paid claims activity, primarily from the 2002 to 2013 underwriting years. Such amounts were partially offset by net adverse development on marine reserves, primarily from the 2002 and 2015 underwriting years, partially offset by favorable development from most other underwriting years.
The insurance segment’s net favorable development of $24.8 million, or 1.6 points, for the 2016 period consisted of $36.2$148 million of net favorable development in long-tailed linesfrom short and $7.7 million of net favorable development in short-tailedmedium-tailed lines, partially offset by $19.1$20 million of net adverse development in medium-tailedfrom long-tailed lines. Net favorable development in long-tailed lines reflected net reductions in executive assurance reserves from the 2008 to 2009 accident years and 2011 to 2013 accident years, and net reductions in casualty reserves across most accident years, partially offset by a large energy casualty claim from the 2015 accident year. Net favorable development in short-tailed lines primarily resultedreflected $83 million of favorable development from reductions in property (including special risk other than marine) reservesproperty catastrophe business, primarily from the 20092015 to 2014 accident2021 underwriting years, $22 million of favorable development from property catastrophe, primarily duefrom the
2018 to varying levels of reported claims activity.2020 underwriting years, and $20 million from other specialty business, primarily from the 2021 underwriting year. Net favorable development in medium-tailed lines included $23 million in marine and aviation lines, across most underwriting years. Net adverse development in medium-tailedlong-tailed lines primarily resulted from an increase in programs of $28.6 million stemming in part from terminated programs, partially offset by favorable development of $9.5reflected $19 million in other medium-tailed lines,casualty reserves, primarily in professional liability and surety.from the 2021 underwriting year.
The mortgage segment’s net favorable development was $16.3$346 million, or 7.939.9 loss ratio points, for the 2016 period.2022 period, with the largest contributor being reserve releases associated with the U.S. first lien portfolio from the 2020 and 2021 accident years. The development was primarily driven by lower thanCompany’s credit risk transfer, international, second lien and student loan businesses also contributed to the favorable development.
6.    Allowance for Expected Credit Losses
Premiums Receivable
The following table provides a roll forward of the allowance for expected claim rates across most origination years.credit losses of the Company’s premium receivables:
Premium Receivables, Net of AllowanceAllowance for Expected Credit Losses
Three Months Ended September 30, 2023
Balance at beginning of period$5,296 $34 
Change for provision of expected credit losses (1)$— 
Balance at end of period$4,937 $34 
Three Months Ended September 30, 2022
Balance at beginning of period$3,634 $38 
Change for provision of expected credit losses (1)$— 
Balance at end of period$3,579 $38 
Nine Months Ended September 30, 2023
Balance at beginning of period$3,625 $35 
Change for provision of expected credit losses (1)(1)
Balance at end of period$4,937 $34 
Nine Months Ended September 30, 2022
Balance at beginning of period$2,633 $40 
Change for provision of expected credit losses (1)(2)
Balance at end of period$3,579 $38 
(1)Amounts deemed uncollectible are written-off in operating expenses. For the 2023 third quarter and 2022 third quarter, amounts written off were nil and $2 million, respectively. For the nine months ended September 30, 2023 and 2022 period, amounts written off were $2 million and $7 million, respectively.


ARCH CAPITALACGL 2017 192023 THIRD QUARTER FORM 10-Q23

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

Reinsurance Recoverables
The following table provides a roll forward of the allowance for expected credit losses of the Company’s reinsurance recoverables:
Reinsurance Recoverables, Net of AllowanceAllowance for Expected Credit Losses
Three Months Ended September 30, 2023
Balance at beginning of period$6,717 $22 
Change for provision of expected credit losses
Balance at end of period$6,821 $23 
Three Months Ended September 30, 2022
Balance at beginning of period$5,939 $15 
Change for provision of expected credit losses
Balance at end of period$6,356 $17 
Nine Months Ended September 30, 2023
Balance at beginning of period$6,564 $22 
Change for provision of expected credit losses
Balance at end of period$6,821 $23 
Nine Months Ended September 30, 2022
Balance at beginning of period$5,881 $13 
Change for provision of expected credit losses
Balance at end of period$6,356 $17 
The following table summarizes the Company’s reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums):
September 30,December 31
20232022
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses$6,821$6,564
% due from carriers with A.M. Best rating of “A-” or better66.7 %68.8 %
% due from all other rated carriers0.2 %0.1 %
% due from all other carriers with no A.M. Best rating (1)33.1 %31.1 %
Largest balance due from any one carrier as % of total shareholders’ equity8.3 %9.0 %
(1)    At September 30, 2023 and December 31, 2022 over 95% of such amount were collateralized through reinsurance trusts, funds withheld arrangements, letters of credit or other, respectively.
Contractholder Receivables
The following table provides a roll forward of the allowance for expected credit losses of the Company’s contractholder receivables:
Contract-holder Receivables, Net of AllowanceAllowance for Expected Credit Losses
Three Months Ended September 30, 2023
Balance at beginning of period$1,761 $
Change for provision of expected credit losses— 
Balance at end of period$1,805 $
Three Months Ended September 30, 2022
Balance at beginning of period$1,758 $
Change for provision of expected credit losses(1)
Balance at end of period1,736 $
Nine Months Ended September 30, 2023
Balance at beginning of period$1,731 $
Change for provision of expected credit losses— 
Balance at end of period$1,805 $
Nine Months Ended September 30, 2022
Balance at beginning of period$1,829 $
Change for provision of expected credit losses(1)
Balance at end of period1,736 $

ARCH CAPITAL 202023 THIRD QUARTER FORM 10-Q

Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
7.    Investment Information



At September 30, 2017, total investable assets of $22.00 billion included $19.70 billion managed by the Company and $2.30 billion attributable to Watford Re.
Available For Sale Investments
The following table summarizes the fair value and cost or amortized cost of the Company’s investmentssecurities classified as available for sale:
Estimated
Fair
Value
Gross
Unrealized
Gains
Gross
Unrealized
Losses
Allowance for Expected Credit LossesCost or
Amortized
Cost
September 30, 2023
Fixed maturities:
Corporate bonds$10,064 $33 $(747)$(47)$10,825 
U.S. government and government agencies5,662 15 (240)— 5,887 
Asset backed securities2,342 10 (76)(5)2,413 
Non-U.S. government securities2,052 (173)(2)2,218 
Commercial mortgage backed securities1,102 — (46)(3)1,151 
Residential mortgage backed securities965 (100)— 1,060 
Municipal bonds298 (32)— 328 
Total22,485 74 (1,414)(57)23,882 
Short-term investments1,682 (1)— 1,680 
Total$24,167 $77 $(1,415)$(57)$25,562 
December 31, 2022
Fixed maturities:
Corporate bonds$8,020 $55 $(781)$(30)$8,776 
U.S. government and government agencies5,162 15 (343)— 5,490 
Asset backed securities1,927 (107)(6)2,039 
Non-U.S. government securities2,313 (238)(2)2,544 
Commercial mortgage backed securities1,047 (58)(3)1,107 
Residential mortgage backed securities795 (87)— 877 
Municipal bonds419 (33)— 449 
Total19,683 89 (1,647)(41)21,282 
Short-term investments1,332 (2)— 1,333 
Total$21,015 $90 $(1,649)$(41)$22,615 
 
Estimated
Fair
Value
 
Gross
Unrealized
Gains
 
Gross
Unrealized
Losses
 
Cost or
Amortized
Cost
 
OTTI
Unrealized
Losses (2)
September 30, 2017         
Fixed maturities (1):         
Corporate bonds$4,275,437
 $49,576
 $(22,303) $4,248,164
 $(73)
Mortgage backed securities323,900
 5,078
 (2,540) 321,362
 (2,146)
Municipal bonds2,353,234
 31,202
 (7,614) 2,329,646
 
Commercial mortgage backed securities584,730
 3,114
 (4,377) 585,993
 
U.S. government and government agencies3,761,612
 3,303
 (20,246) 3,778,555
 
Non-U.S. government securities1,473,819
 49,570
 (21,647) 1,445,896
 
Asset backed securities1,544,919
 9,053
 (4,748) 1,540,614
 (22)
Total14,317,651
 150,896
 (83,475) 14,250,230
 (2,241)
Equity securities480,607
 84,755
 (7,873) 403,725
 
Other investments260,339
 54,512
 (1) 205,828
 
Short-term investments1,646,036
 667
 (504) 1,645,873
 
Total$16,704,633
 $290,830
 $(91,853) $16,505,656
 $(2,241)
          
December 31, 2016         
Fixed maturities (1):         
Corporate bonds$4,392,373
 $27,606
 $(46,905) $4,411,672
 $(2,285)
Mortgage backed securities490,093
 4,794
 (8,357) 493,656
 (3,323)
Municipal bonds3,713,434
 8,554
 (29,154) 3,734,034
 (201)
Commercial mortgage backed securities536,051
 2,876
 (6,508) 539,683
 
U.S. government and government agencies2,804,540
 9,319
 (24,437) 2,819,658
 
Non-U.S. government securities1,096,440
 19,036
 (56,872) 1,134,276
 
Asset backed securities1,123,987
 6,897
 (6,526) 1,123,616
 (22)
Total14,156,918
 79,082
 (178,759) 14,256,595
 (5,831)
Equity securities532,680
 62,627
 (17,517) 487,570
 
Other investments167,970
 21,358
 (2,465) 149,077
 
Short-term investments612,005
 272
 (145) 611,878
 
Total$15,469,573
 $163,339
 $(198,886) $15,505,120
 $(5,831)
(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 “—Securities Lending Agreements.”
(2)Represents the total other-than-temporary impairments (“OTTI”) recognized in accumulated other comprehensive income (“AOCI”). It does not include the change in fair value subsequent to the impairment measurement date. At September 30, 2017, the net unrealized gain related to securities for which a non-credit OTTI was recognized in AOCI was $0.9 million, compared to a net unrealized gain of $2.8 million at December 31, 2016.



ARCH CAPITALACGL 2017 212023 THIRD QUARTER FORM 10-Q24

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

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
September 30, 2017           
Fixed maturities (1):           
Corporate bonds$1,173,096
 $(18,315) $191,382
 $(3,988) $1,364,478
 $(22,303)
Mortgage backed securities146,352
 (2,477) 1,511
 (63) 147,863
 (2,540)
Municipal bonds745,410
 (5,958) 110,752
 (1,656) 856,162
 (7,614)
Commercial mortgage backed securities282,901
 (3,579) 17,570
 (798) 300,471
 (4,377)
U.S. government and government agencies3,083,239
 (19,736) 25,894
 (510) 3,109,133
 (20,246)
Non-U.S. government securities1,149,528
 (20,741) 37,655
 (906) 1,187,183
 (21,647)
Asset backed securities587,561
 (4,404) 22,051
 (344) 609,612
 (4,748)
Total7,168,087
 (75,210) 406,815
 (8,265) 7,574,902
 (83,475)
Equity securities170,937
 (7,873) 
 
 170,937
 (7,873)
Other investments725
 (1) 
 
 725
 (1)
Short-term investments110,444
 (504) 
 
 110,444
 (504)
Total$7,450,193
 $(83,588) $406,815
 $(8,265) $7,857,008
 $(91,853)
            
December 31, 2016           
Fixed maturities (1):           
Corporate bonds$1,700,813
 $(43,011) $46,902
 $(3,894) $1,747,715
 $(46,905)
Mortgage backed securities402,699
 (8,134) 6,105
 (223) 408,804
 (8,357)
Municipal bonds1,513,308
 (28,504) 29,636
 (650) 1,542,944
 (29,154)
Commercial mortgage backed securities231,374
 (6,331) 5,635
 (177) 237,009
 (6,508)
U.S. government and government agencies1,888,018
 (24,437) 
 
 1,888,018
 (24,437)
Non-U.S. government securities807,598
 (56,872) 
 
 807,598
 (56,872)
Asset backed securities627,557
 (5,465) 65,723
 (1,061) 693,280
 (6,526)
Total7,171,367
 (172,754) 154,001
 (6,005) 7,325,368
 (178,759)
Equity securities269,381
 (17,517) 
 
 269,381
 (17,517)
Other investments39,299
 (2,465) 
 
 39,299
 (2,465)
Short-term investments29,146
 (145) 
 
 29,146
 (145)
Total$7,509,193
 $(192,881) $154,001
 $(6,005) $7,663,194
 $(198,886)
(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 “—Securities Lending Agreements.”

 Less than 12 Months12 Months or MoreTotal
Estimated
Fair
Value
Gross
Unrealized
Losses
Estimated
Fair
Value
Gross
Unrealized
Losses
Estimated
Fair
Value
Gross
Unrealized
Losses
September 30, 2023
Fixed maturities:
Corporate bonds$4,813 $(141)$5,272 $(606)$10,085 $(747)
U.S. government and government agencies3,922 (93)1,294 (147)5,216 (240)
Non-U.S. government securities1,002 (25)956 (148)1,958 (173)
Residential mortgage backed securities420 (15)521 (85)941 (100)
Asset backed securities190 (4)1,287 (72)1,477 (76)
Commercial mortgage backed securities153 (3)907 (43)1,060 (46)
Municipal bonds84 (5)212 (27)296 (32)
Total10,584 (286)10,449 (1,128)21,033 (1,414)
Short-term investments192 (1)— — 192 (1)
Total$10,776 $(287)$10,449 $(1,128)$21,225 $(1,415)
December 31, 2022
Fixed maturities:
Corporate bonds$4,823 $(393)$2,559 $(388)$7,382 $(781)
U.S. government and government agencies3,557 (197)1,443 (146)5,000 (343)
Non-U.S. government securities1,703 (154)542 (84)2,245 (238)
Residential mortgage backed securities546 (52)154 (35)700 (87)
Asset backed securities1,148 (66)512 (41)1,660 (107)
Commercial mortgage backed securities598 (35)445 (23)1,043 (58)
Municipal bonds364 (30)16 (3)380 (33)
Total12,739 (927)5,671 (720)18,410 (1,647)
Short-term investments237 (2)— — 237 (2)
Total$12,976 $(929)$5,671 $(720)$18,647 $(1,649)
At September 30, 2017,2023, on a lot level basis, approximately 2,87011,140 security lots out of a total of approximately 7,41014,320 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 $1.6$6 million. At December 31, 2016,2022, on a lot level basis, approximately 3,5409,810 security lots out of a total of approximately 7,24012,590 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 $4.6$7 million.

ACGL 2017 THIRD QUARTER FORM 10-Q25

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

The contractual maturities of the Company’s fixed maturities 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.
September 30, 2023December 31, 2022
MaturityEstimated
Fair
Value
Amortized
Cost
Estimated
Fair
Value
Amortized
Cost
Due in one year or less$683 $708 $511 $537 
Due after one year through five years12,561 13,123 11,016 11,715 
Due after five years through 10 years4,515 5,035 3,984 4,527 
Due after 10 years317 392 403 480 
 18,076 19,258 15,914 17,259 
Residential mortgage backed securities965 1,060 795 877 
Commercial mortgage backed securities1,102 1,151 1,047 1,107 
Asset backed securities2,342 2,413 1,927 2,039 
Total$22,485 $23,882 $19,683 $21,282 

  September 30, 2017 December 31, 2016
Maturity 
Estimated
Fair
Value
 
Amortized
Cost
 Estimated
Fair
Value
 
Amortized
Cost
Due in one year or less $537,043
 $534,513
 $560,830
 $557,675
Due after one year through five years 7,547,002
 7,508,674
 6,158,148
 6,211,099
Due after five years through 10 years 3,495,424
 3,480,251
 4,676,847
 4,710,017
Due after 10 years 284,633
 278,823
 610,962
 620,849
  11,864,102
 11,802,261
 12,006,787
 12,099,640
Mortgage backed securities 323,900
 321,362
 490,093
 493,656
Commercial mortgage backed securities 584,730
 585,993
 536,051
 539,683
Asset backed securities 1,544,919
 1,540,614
 1,123,987
 1,123,616
Total (1) $14,317,651
 $14,250,230
 $14,156,918
 $14,256,595
(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 “—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 from the Company.
The Company receives collateral in the form of cash or securities. At September 30, 2017, the fair value of the cash collateral received on securities lending was $63.8 million and the fair value of security collateral received was $479.5 million. At December 31, 2016, the fair value of the cash collateral received on securities lending was $212.5 million, and the fair value of security collateral received was $550.1 million. Cash collateral is reinvested in short-term investments.
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
September 30, 2017          
U.S. government and government agencies $424,838
 $8,186
 $74,930
 $
 $507,954
Corporate bonds 31,305
 
 
 
 31,305
Equity securities 3,984
 
 
 
 3,984
Total $460,127
 $8,186
 $74,930
 $
 $543,243
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 9 $
Amounts related to securities lending not included in offsetting disclosure in Note 9 $543,243
           
December 31, 2016          
U.S. government and government agencies $556,015
 $31,244
 $126,093
 $5,140
 $718,492
Corporate bonds 29,078
 
 
 
 29,078
Equity securities 14,984
 
 
 
 14,984
Total $600,077
 $31,244
 $126,093
 $5,140
 $762,554
Gross amount of recognized liabilities for securities lending in offsetting disclosure in Note 9 $
Amounts related to securities lending not included in offsetting disclosure in Note 9 $762,554

ARCH CAPITALACGL 2017 222023 THIRD QUARTER FORM 10-Q26

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

Equity Securities, at Fair Value
At September 30, 2023, the Company held $894 million of equity securities, at fair value, compared to $860 million at December 31, 2022. Such holdings include publicly traded common stocks primarily in the consumer cyclical and non-cyclical, technology, communication and financial sectors and exchange-traded funds in fixed income, equity and other sectors.
Other Investments, at Fair Value
The following table summarizes the Company’s other investments including availableand other investable assets:
September 30,
2023
December 31,
2022
Other investments$1,404 $1,043 
Fixed maturities644 554 
Equity securities14 
Short-term investments13 33 
Total$2,068 $1,644 
The following table summarizes the Company’s other investments, as detailed in the previous table, by strategy:
September 30,
2023
December 31,
2022
Lending$460 $406 
Investment grade fixed income418 271 
Term loan investments242 164 
Private equity182 123 
Credit related funds84 56 
Energy18 23 
Total$1,404 $1,043 
Investments Accounted For Using the Equity Method
The following table summarizes the Company’s investments accounted for sale and fair value option components:using the equity method, by strategy:
September 30,
2023
December 31,
2022
Credit related funds$1,165 $1,136 
Private equity1,083 917 
Real estate620 535 
Lending555 531 
Infrastructure298 245 
Fixed income258 130 
Equities171 169 
Energy101 111 
Total$4,251 $3,774 

 September 30,
2017
 December 31,
2016
Available for sale:   
Asian and emerging markets$123,225
 $84,778
Investment grade fixed income53,325
 33,923
Credit related funds20,752
 7,469
Other63,037
 41,800
Total available for sale260,339
 167,970
Fair value option:   
Term loan investments (par value: $1,378,797 and $1,208,537)1,387,663
 1,190,799
Mezzanine debt funds172,000
 127,943
Credit related funds194,200
 218,298
Investment grade fixed income95,151
 75,468
Asian and emerging markets300,552
 178,568
Other (1)147,639
 129,717
Total fair value option2,297,205
 1,920,793
Total$2,557,544
 $2,088,763
(1)Includes fund investments with strategies in mortgage servicing rights, transportation, infrastructure and other.

Certain of the Company’s other investments 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 and liabilities which are accounted for using the fair value option:
 September 30,
2017
 December 31,
2016
Fixed maturities$1,508,204
 $1,099,116
Other investments2,297,205
 1,920,793
Short-term investments349,540
 373,669
Equity securities94,685
 27,642
Investments accounted for using the fair value option$4,249,634
 $3,421,220
Limited partnership interestsPartnership 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 has determined that it is not required to consolidate these investments because it is not the primary beneficiary of 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 unfundedcommitment.
The following table summarizes investments in limited partnership interests where the Company has a variable interest by balance sheet line item:
September 30,
2023
December 31,
2022
Investments accounted for using the equity method (1)$4,251 $3,774 
Investments accounted for using the fair value option (2)128 131 
Total$4,379 $3,905 
(1)    Aggregate unfunded commitments were $3.0 billion at September 30, 2023, compared with $2.6 billion at December 31, 2022.
(2)    Aggregate unfunded commitments were $32 million at September 30, 2023, compared to $17 million at December 31, 2022.
 September 30,
2017
 December 31,
2016
Investments accounted for using the equity method (1)$962,574
 $800,970
Investments accounted for using the fair value option (2)109,157
 90,804
Total$1,071,731
 $891,774
(1)Aggregate unfunded commitments were $850.4 million at September 30, 2017, compared to $776.6 million at December 31, 2016.
(2)Aggregate unfunded commitments were $162.3 million at September 30, 2017, compared to $16.7 million at December 31, 2016.

ARCH CAPITALACGL 2017 232023 THIRD QUARTER FORM 10-Q27

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

Net Investment Income
The components of net investment income were derived from the following sources:
September 30,
 20232022
Three Months Ended
Fixed maturities$243 $124 
Equity securities
Short-term investments19 
Other (1)22 
Gross investment income289 146 
Investment expenses(20)(17)
Net investment income$269 $129 
Nine Months Ended
Fixed maturities$645 $311 
Equity securities15 16 
Short-term investments48 16 
Other (1)60 29 
Gross investment income768 372 
Investment expenses(58)(57)
Net investment income$710 $315 
(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items.

 September 30,
 2017 2016
Three Months Ended   
Fixed maturities$96,144
 $71,366
Equity securities2,887
 3,311
Short-term investments2,957
 1,703
Other (1)37,957
 37,466
Gross investment income139,945
 113,846
Investment expenses(23,486) (20,228)
Net investment income$116,459
 $93,618
    
Nine Months Ended   
Fixed maturities$284,807
 $223,033
Equity securities9,184
 10,409
Short-term investments6,732
 3,015
Other (1)111,613
 98,089
Gross investment income412,336
 334,546
Investment expenses(66,879) (58,855)
Net investment income$345,457
 $275,691
(1)Includes income distributions from investment funds, term loan investments and other items.
Net Realized Gains (Losses)
Net realized gains (losses), which include changes in the allowance for credit losses on financial assets and net impairment losses recognized in earnings were as follows, excluding other than-temporary impairment provision.follows:
September 30,
 20232022
Three Months Ended
Available for sale securities:  
Gross gains on investment sales$12 $18 
Gross losses on investment sales(116)(74)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities(16)(19)
Other investments(18)
Equity securities— (1)
Short-term investments— (1)
Equity securities, at fair value:
Net realized gains (losses) on sales during the period14 (6)
Net unrealized gains (losses) on equity securities still held at reporting date(46)(36)
Allowance for credit losses:
Investments related— 
Underwriting related(1)(4)
Derivative instruments (1)(102)(48)
Other(4)
Net realized gains (losses)$(248)$(184)
Nine Months Ended
Available for sale securities:
Gross gains on investment sales$51 $53 
Gross losses on investment sales(396)(239)
Change in fair value of assets and liabilities accounted for using the fair value option:
Fixed maturities(12)(89)
Other investments17 (37)
Equity securities(6)
Short-term investments— (3)
Equity securities, at fair value:
Net realized gains (losses) on sales during the period50 76 
Net unrealized gains (losses) on equity securities still held at reporting date17 (318)
Allowance for credit losses:
Investments related(23)(48)
Underwriting related(2)(7)
Derivative instruments (1)(61)(118)
Other(7)
Net realized gains (losses)$(354)$(743)
 September 30,
 2017 2016
Three Months Ended   
Available for sale securities: 
  
Gross gains on investment sales$66,565
 $84,451
Gross losses on investment sales(39,015) (22,985)
Change in fair value of assets and liabilities accounted for using the fair value option:   
Fixed maturities4,035
 43,935
Other investments24,264
 46,428
Equity securities10,230
 (52)
Short-term investments(3,320) 1,150
Derivative instruments (1)4,298
 (16,964)
Other (2)(782) (10,858)
Net realized gains (losses)$66,275
 $125,105
    
Nine Months Ended   
Available for sale securities:   
Gross gains on investment sales$212,470
 $266,965
Gross losses on investment sales(152,996) (129,409)
Change in fair value of assets and liabilities accounted for using the fair value option:   
Fixed maturities34,232
 62,234
Other investments42,149
 38,016
Equity securities16,604
 385
Short-term investments12
 107
Derivative instruments (1)(9,653) 24,102
Other (2)(20,655) (31,753)
Net realized gains (losses)$122,163
 $230,647
(1)See Note 9 for information on the Company’s derivative instruments.
(2)Includes the re-measurement of contingent consideration liability amounts.

(1)    See note 9 for information on the Company’s derivative instruments.
Equity in Net Income (Loss) of Investment Funds Accounted for Using the Equity Method
The Company recorded $31.1income of $59 million of equity in net income related to investment funds accounted for using the equity method in the 20172023 third quarter, compared to $16.7a loss of $19 million for
ARCH CAPITAL 242023 THIRD QUARTER FORM 10-Q

Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
the 20162022 third quarter and $111.9income of $176 million for the nine months ended September 30, 2017,2023, compared to $32.1income of $75 million for the 2016 period.nine months ended September 30, 2022. 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). Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds.
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 Holdings Ltd., (“Greysbridge”) and Premia Holdings Ltd. Investments in Coface and Premia Holdings Ltd. are generally recorded on a three month lag, while the Company’s investment in
Greysbridge is not recorded on a lag.
As of September 30, 2023, the Company owned approximately 29.9% of the issued shares of Coface, or 30% excluding treasury shares, with a carrying value of $521 million, compared to $563 million at December 31, 2022.
As of September 30, 2023, the Company owned 40% of Greysbridge with a carrying value of $362 million, compared to $306 million at December 31, 2022.
Income from operating affiliates for the 2023 third quarter was $54 million, compared to $9 million, for the 2022 third quarter, and income of $115 million for the nine months ended September 30, 2023, compared to income of $39 million for nine months ended September 30, 2022.
See note 15 for information on Company’s transactions with related parties.

Allowance for Expected Credit Losses
The following table provides a roll forward of the allowance for expected credit losses of the Company’s securities classified as available for sale:
Structured Securities (1)Corporate
Bonds
Non-U.S.
Government
Securities
Total
Three Months Ended September 30, 2023
Balance at beginning of period$$50 $$61 
Additions for current-period provision for expected credit losses— 
Additions (reductions) for previously recognized expected credit losses— (3)— (3)
Reductions due to disposals(2)(4)(1)(7)
Balance at end of period$$47 $$57 
Three Months Ended September 30, 2022
Balance at beginning of period$19 $40 $— $59 
Additions for current-period provision for expected credit losses— 
Additions (reductions) for previously recognized expected credit losses(10)(3)— (13)
Reductions due to disposals(2)(2)— (4)
Balance at end of period$$37 $— $46 
Nine Months Ended September 30, 2023
Balance at beginning of period$$30 $$41 
Additions for current-period provision for expected credit losses— 
Additions (reductions) for previously recognized expected credit losses(1)18 18 
Reductions due to disposals(2)(6)(1)(9)
Balance at end of period$$47 $$57 
Nine Months Ended September 30, 2022
Balance at beginning of period$$$— $
Additions for current-period provision for expected credit losses13 40 — 53 
Additions (reductions) for previously recognized expected credit losses(3)(3)— (6)
Reductions due to disposals(2)(2)— (4)
Balance at end of period$$37 $— $46 
(1)    Includes asset backed securities, residential mortgage backed securities and commercial mortgage backed securities.
ARCH CAPITALACGL 2017 252023 THIRD QUARTER FORM 10-Q28

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

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.
The following table details the net impairment losses recognized in earnings by asset class:
 September 30,
 2017 2016
Three Months Ended   
Fixed maturities: 
  
Mortgage backed securities$(50) $(233)
Corporate bonds(82) 
Non-U.S. government securities(178) (545)
U.S. government and government agencies(426) 
Municipal bonds(202) 
Total(938) (778)
Equity securities(940) (557)
Other investments
 (2,532)
Net impairment losses recognized in earnings$(1,878) $(3,867)
    
Nine Months Ended   
Fixed maturities:   
Mortgage backed securities$(1,461) $(788)
Corporate bonds(1,484) (5,655)
Non-U.S. government securities(376) (777)
Asset backed securities
 (2,506)
U.S. government and government agencies(426) 
Municipal bonds(375) 
Total(4,122) (9,726)
Equity securities(1,126) (3,594)
Other investments(167) (3,529)
Net impairment losses recognized in earnings$(5,415) $(16,849)
Net impairment losses recognized in earnings in the 2017 third quarter were primarily related to equities and on fixed maturities with foreign currency fluctuations. For the nine months ended September 30, 2017, net impairment losses recognized in earnings reflected the Company’s decision to liquidate a portfolio of mortgage backed securities in April 2017. The Company recorded impairment losses on securities in such portfolio that were in an unrealized loss position at March 31, 2017.
The Company believes that the $2.2 million of OTTI included in accumulated other comprehensive income at September 30, 2017 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 September 30, 2017, 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 amount related to credit losses recognized in earnings for which a portion of an OTTI was recognized in accumulated other comprehensive income:
 September 30,
 2017 2016
Three Months Ended   
Balance at start of period$4,437
 $14,847
Credit loss impairments recognized on securities not previously impaired
 38
Credit loss impairments recognized on securities previously impaired15
 60
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(689) (1,166)
Balance at end of period$3,763
 $13,779
    
Nine Months Ended   
Balance at start of year$13,138
 $26,875
Credit loss impairments recognized on securities not previously impaired31
 1,388
Credit loss impairments recognized on securities previously impaired210
 582
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(9,616) (15,066)
Balance at end of period$3,763
 $13,779
Restricted Assets
The Company is required to maintain assets on deposit, which primarily consist of fixed maturities, with various regulatory authorities to support its insurance and reinsuranceunderwriting operations. The Company’s 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. See Note 10 for further details. note 18, “Commitments and Contingencies,” of the notes to consolidated financial statements in the Company’s 2022 Form 10-K.
The following table details the value of the Company’s restricted assets:
 September 30,
2017
 December 31,
2016
Assets used for collateral or guarantees: 
  
Affiliated transactions$4,264,131
 $3,871,971
Third party agreements1,689,104
 1,513,079
Deposits with U.S. regulatory authorities618,136
 472,890
Deposits with non-U.S. regulatory authorities56,753
 44,399
Total restricted assets$6,628,124
 $5,902,339
September 30,
2023
December 31,
2022
Assets used for collateral or guarantees:  
Affiliated transactions$4,572 $4,254 
Third party agreements2,849 2,633 
Deposits with U.S. regulatory authorities788 776 
Other (1)1,250 1,038 
Total restricted assets$9,459 $8,701 

(1)    Primarily includes Funds at Lloyds, deposits with non-U.S. regulatory authorities and other restricted assets.
Reconciliation of Cash and Restricted Cash
The following table details reconciliation of cash and restricted cash within the Consolidated Balance Sheets:
September 30,
2023
December 31,
2022
Cash$859 $855 
Restricted cash (included in ‘other assets’)496 418 
Cash and restricted cash$1,355 $1,273 
8.    Fair Value
ACGL 2017 THIRD QUARTER FORM 10-Q29

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

8.    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 average number of 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
ARCH CAPITAL 262023 THIRD QUARTER FORM 10-Q

ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
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. The Company did not adjust any of the prices obtained from the independent pricing sources at September 30, 2017.2023.
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. Where quotes are unavailable, fair value is determined by the Investment Manager using quantitative and qualitative assessments such as internally modeled values. Of the $21.14$27.5 billion of financial assets and liabilities measured at fair value at September 30, 2017,2023, approximately $242.9$15 million, or 1.2%0.1%, were priced using non-binding broker-dealer quotes.quotes or modeled valuations. Of the $19.10$23.8 billion of financial assets and liabilities measured at fair value at December 31, 2016,2022, approximately $234.0$13 million, or 1.2%0.1%, were priced using non-binding broker-dealer quotes.quotes or modeled valuations.
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 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.

ACGL 2017 THIRD QUARTER FORM 10-Q30

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

The following describes the significant inputs generally used to determine the fair value of the Company’s fixed maturity securities by asset class:
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. 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.
Mortgage-backedMunicipal bondsvaluations 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.
Residential 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. 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.
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. The pricing services also review prepayment speeds
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ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
and other indicators, when applicable. 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. 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.
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. The pricing services also review prepayment speeds and other indicators, when applicable. 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.
During the 2017 third quarter, the Company transferred $17.6 million of fixed maturities from Level 2 to Level 3 based on a review of the pricing of such securities, as described above.
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. OtherCertain equity securities are included in Level 2 of the valuation hierarchy.

ACGL 2017 THIRD QUARTER FORM 10-Q31

Tablehierarchy as the significant inputs used in the pricing process for such securities are observable market inputs. Other equity securities are included in Level 3 due to the lack of Contentsan 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.
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)

Other investments
The Company determined that exchange-tradedCompany’s other investments in mutual funds 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. The fair values for certain of the Company’s other investments are determined using net asset values as advised by external fund managers. The net asset value is based on the fund manager’s valuation of the underlying holdings in accordance with the fund’s governing documents. 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. A small number of securities are included in Level 3 due to the lack of an available independent price source for such securities. During the 2017 third quarter, the Company transferred $4.8 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 othercertain short-term investments are generally determined using the spread above the risk-free yield curve and are classified within Level 2. Other short-term investments 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 short-term securities are unobservable, the fair value of such securities are classified as Level 3.
Contingent consideration liabilitiesResidential mortgage loans
Contingent consideration liabilitiesThe Company’s residential mortgage loans (included in ‘other liabilities’assets’ in the consolidated balance sheets) include amounts related to the acquisitionCompany’s whole 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 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 (UNAUDITED)

The following table presents the Company’s financial assets and liabilities measured at fair value by level at September 30, 2017:
2023:
 Estimated Fair Value Measurements 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:Assets measured at fair value:    
Available for sale securities:Available for sale securities:    
Fixed maturities:Fixed maturities:    
Corporate bondsCorporate bonds$10,064 $— $9,940 $124 
U.S. government and government agenciesU.S. government and government agencies5,662 5,640 22 — 
Asset backed securitiesAsset backed securities2,342 — 2,342 — 
Non-U.S. government securitiesNon-U.S. government securities2,052 — 2,052 — 
Commercial mortgage backed securitiesCommercial mortgage backed securities1,102 — 1,102 — 
Residential mortgage backed securitiesResidential mortgage backed securities965 — 965 — 
Municipal bondsMunicipal bonds298 — 298 — 
TotalTotal22,485 5,640 16,721 124 
Short-term investmentsShort-term investments1,682 1,635 47 — 
Equity securities, at fair valueEquity securities, at fair value894 860 29 
  Estimated Fair Value Measurements 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$4,275,437
 $
 $4,263,446
 $11,991
Mortgage backed securities323,900
 
 323,496
 404
Municipal bonds2,353,234
 
 2,353,234
 
Commercial mortgage backed securities584,730
 
 584,185
 545
U.S. government and government agencies3,761,612
 3,687,126
 74,486
 
Non-U.S. government securities1,473,819
 
 1,473,819
 
Asset backed securities1,544,919
 
 1,539,919
 5,000
Total14,317,651
 3,687,126
 10,612,585
 17,940
       
Equity securities480,607
 473,908
 6,699
 
Derivative instruments (2)Derivative instruments (2)192 — 192 — 
       
Short-term investments1,646,036
 1,600,885
 45,151
 
       
Other investments84,671
 83,254
 1,417
 
Other investments measured at net asset value (2)175,668
      
Total other investments260,339
 83,254
 1,417
 
       
Derivative instruments (4)33,141
 
 33,141
 
Residential mortgage loansResidential mortgage loans— — 
       
Fair value option:       Fair value option:
Corporate bonds823,181
 
 811,710
 11,471
Corporate bonds620 — 620 — 
Non-U.S. government bonds97,614
 
 97,614
 
Non-U.S. government bonds15 — 15 — 
Mortgage backed securities21,218
 
 21,218
 
Municipal bonds2,740
 
 2,740
 
Commercial mortgage backed securities12,539
 
 12,539
 
Asset backed securities63,437
 
 63,437
 
Asset backed securities— — 
U.S. government and government agencies487,475
 487,475
 
 
U.S. government and government agencies— — 
Short-term investments349,540
 343,620
 5,920
 
Short-term investments13 
Equity securities94,685
 59,332
 35,353
 
Equity securities— 
Other investments1,298,198
 120,212
 1,146,840
 31,146
Other investments341 — 241 100 
Other investments measured at net asset value (2)999,007
      
Other investments measured at net asset value (1)Other investments measured at net asset value (1)1,063 
Total4,249,634
 1,010,639
 2,197,371
 42,617
Total2,068 11 886 108 
       
Total assets measured at fair value$20,987,408
 $6,855,812
 $12,896,364
 $60,557
Total assets measured at fair value$27,323 $8,146 $17,877 $237 
       
Liabilities measured at fair value: 
  
  
  
Liabilities measured at fair value:    
Contingent consideration liabilities$(59,248) $
 $
 $(59,248)
Securities sold but not yet purchased (3)(72,682) 
 (72,682) 
Derivative instruments (4)(23,037) 
 (23,037) 
Other liabilitiesOther liabilities$(21)$— $— $(21)
Derivative instruments (2)Derivative instruments (2)(114)— (114)— 
Total liabilities measured at fair value$(154,967) $
 $(95,719) $(59,248)Total liabilities measured at fair value$(135)$— $(114)$(21)


(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 7, “Investment Information—Securities Lending Agreements.”
(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 9, “Derivative Instruments.”

(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 9.

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

The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2016:2022:
  Estimated Fair Value Measurements 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 $— $7,899 $121 
U.S. government and government agencies5,162 5,145 17 — 
Asset backed securities1,927 — 1,927 — 
Non-U.S. government securities2,313 — 2,313 — 
Commercial mortgage backed securities1,047 — 1,047 — 
Residential mortgage backed securities795 — 795 — 
Municipal bonds419 — 419 — 
Total19,683 5,145 14,417 121 
Short-term investments1,332 1,198 134 — 
Equity securities, at fair value860 829 28 
Derivative instruments (2)149 — 149 — 
Residential mortgage loans— — 
Fair value option:
Corporate bonds543 — 543 — 
Non-U.S. government bonds— — 
Asset backed securities— — 
U.S. government and government agencies— — 
Short-term investments33 32 — 
Equity securities14 10 — 
Other investments196 — 163 33 
Other investments measured at net asset value (1)847 
Total1,644 16 744 37 
Total assets measured at fair value$23,670 $7,188 $15,474 $161 
Liabilities measured at fair value:
Other liabilities$(14)$— $— $(14)
Derivative instruments (2)(76)— (76)— 
Total liabilities measured at fair value$(90)$— $(76)$(14)
   Estimated Fair Value Measurements 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$4,392,373
 $
 $4,374,029
 $18,344
Mortgage backed securities490,093
 
 490,093
 
Municipal bonds3,713,434
 
 3,713,434
 
Commercial mortgage backed securities536,051
 
 536,051
 
U.S. government and government agencies2,804,540
 2,691,575
 112,965
 
Non-U.S. government securities1,096,440
 
 1,096,440
 
Asset backed securities1,123,987
 
 1,112,698
 11,289
Total14,156,918
 2,691,575
 11,435,710
 29,633
        
Equity securities532,680
 529,695
 2,985
 
        
Short-term investments612,005
 608,862
 3,143
 
        
Other investments112,313
 112,313
 
 
Other investments measured at net asset value (2)55,657
      
Total other investments167,970
 112,313
 
 
        
Derivative instruments (4)28,410
 
 28,410
 
        
Fair value option:       
Corporate bonds790,935
 
 790,935
 
Non-U.S. government bonds61,747
 
 61,747
 
Mortgage backed securities18,624
 
 18,624
 
Asset backed securities30,324
 
 30,324
 
U.S. government and government agencies197,486
 197,486
 
 
Short-term investments373,669
 309,127
 64,542
 
Equity securities27,642
 25,328
 2,314
 
Other investments1,226,242
 80,706
 1,120,536
 25,000
Other investments measured at net asset value (2)694,551
      
Total3,421,220
 612,647
 2,089,022
 25,000
        
Total assets measured at fair value$18,919,203
 $4,555,092
 $13,559,270
 $54,633
        
Liabilities measured at fair value: 
  
  
  
Contingent consideration liabilities$(122,350) $
 $
 $(122,350)
Securities sold but not yet purchased (3)(33,157) 
 (33,157) 
Derivative instruments (4)(26,049) 
 (26,049) 
Total liabilities measured at fair value$(181,556) $
 $(59,206) $(122,350)


(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 7, “Investment Information—Securities Lending Agreements.”
(2)(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.
(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 9, “Derivative Instruments.”


(2)    See note 9.

ARCH CAPITALACGL 2017 302023 THIRD QUARTER FORM 10-Q34

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

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:
AssetsLiabilities
sAvailable For SaleFair Value OptionFair Value
 Structured Securities (1)Corporate
Bonds
Other
Investments
Short-tem
Investments
Equity
Securities
Equity
Securities
Other Liabilities
Three Months Ended September 30, 2023  
Balance at beginning of period$— $100 $86 $— $$$(19)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)— — — — — — — 
Included in other comprehensive income— (1)— — — — — 
Purchases, issuances, sales and settlements
Purchases— 25 29 — — — 
Issuances— — — — — — (4)
Sales— — (6)— — — — 
Settlements— — (9)— — — 
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$— $124 $100 $$$$(21)
Three Months Ended September 30, 2022  
Balance at beginning of period$$$34 $— $$$(17)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(1)— — — — — — 
Included in other comprehensive income— — — — — — 
Purchases, issuances, sales and settlements
Purchases— — — — — — 
Issuances— — — — — — — 
Sales(2)(4)(1)— — — — 
Settlements— — — — — — 
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$— $— $34 $— $$$(14)
Nine Months Ended September 30, 2023  
Balance at beginning of year$— $121 $33 $— $$$(14)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)— (1)— — — — 
Included in other comprehensive income— (1)— — — — — 
Purchases, issuances, sales and settlements
Purchases— 68 87 — — 
Issuances— — — — — — (9)
Sales— — (10)— — — — 
Settlements— (65)(9)— — — 
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$— $124 $100 $$$$(21)
Nine Months Ended September 30, 2022  
Balance at beginning of year$$— $28 $— $$$(17)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(1)— — — — — — 
Included in other comprehensive income— — — — — — 
Purchases, issuances, sales and settlements
Purchases— — 12 — — — — 
Issuances— — — — — — — 
Sales(2)(4)(3)— — — — 
Settlements— — (3)— — — 
Transfers in and/or out of Level 3— — — — — — 
Balance at end of period$— $— $34 $— $$$(14)
(1)    Includes asset backed securities, residential mortgage backed securities and commercial mortgage backed securities.
(2)    Gains or losses were included in net realized gains (losses).

 Assets Liabilities
sAvailable For Sale Fair Value Option    
 Structured Securities (1) Corporate
Bonds
 Corporate
Bonds
 
Other
Investments
 Total Contingent Consideration Liabilities
Three Months Ended September 30, 2017   
    
    
Balance at beginning of period$
 $11,570
 $
 $25,000
 $36,570
 $(57,246)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)
 
 
 
 
 (2,002)
Included in other comprehensive income
 289
 
 
 289
 
Purchases, issuances, sales and settlements           
Purchases
 
 
 1,348
 1,348
 
Issuances
 
 
 
 
 
Sales
 
 
 
 
 
Settlements
 
 
 
 
 
Transfers in and/or out of Level 35,949
 132
 11,471
 4,798
 22,350
 
Balance at end of period$5,949
 $11,991
 $11,471
 $31,146
 $60,557
 $(59,248)
            
Three Months Ended September 30, 2016   
    
  
  
Balance at beginning of period$49,211
 $17,305
 $
 $
 $66,516
 $(111,670)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)
 1,667
 
 
 1,667
 (4,795)
Included in other comprehensive income
 
 
 
 
 88
Purchases, issuances, sales and settlements           
Purchases
 
 
 
 
 
Issuances
 
 
 
 
 
Sales
 
 
 
 
 
Settlements(22,435) 
 
 
 (22,435) 
Transfers in and/or out of Level 3
 
 
 
 
 
Balance at end of period$26,776
 $18,972
 $
 $
 $45,748
 $(116,377)
            
Nine Months Ended September 30, 2017   
    
    
Balance at beginning of year$11,289
 $18,344
 $
 $25,000
 $54,633
 $(122,350)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)3,779
 893
 
 
 4,672
 (9,089)
Included in other comprehensive income
 289
 
 
 289
 
Purchases, issuances, sales and settlements           
Purchases
 4,935
 
 1,348
 6,283
 
Issuances
 
 
 
 
 
Sales(13,640) (12,602) 
 
 (26,242) 
Settlements(1,428) 
 
 
 (1,428) 72,191
Transfers in and/or out of Level 35,949
 132
 11,471
 4,798
 22,350
 
Balance at end of period$5,949
 $11,991
 $11,471
 $31,146
 $60,557
 $(59,248)
            
Nine Months Ended September 30, 2016   
    
  
  
Balance at beginning of year$57,500
 $16,368
 $
 $
 $73,868
 $(96,048)
Total gains or (losses) (realized/unrealized)           
Included in earnings (2)(2,500) 1,828
 
 
 (672) (20,916)
Included in other comprehensive income
 
 
 
 
 51
Purchases, issuances, sales and settlements           
Purchases
 776
 
 
 776
 
Issuances
 
 
 
 
 
Sales
 
 
 
 
 
Settlements(28,224) 
 
 
 (28,224) 536
Transfers in and/or out of Level 3
 
 
 
 
 
Balance at end of period$26,776
 $18,972
 $
 $
 $45,748
 $(116,377)

(1)Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)For the 2017 periods, gains or losses were included in net realized gains (losses). For the 2016 periods, losses on structured securities were included in net impairment losses recognized in earnings gains or losses while gains or losses on corporate bonds and contingent consideration liabilities were included in net realized gains (losses).


ARCH CAPITALACGL 2017 312023 THIRD QUARTER FORM 10-Q35

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

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 September 30, 2017,2023, due to their respective short maturities. As these financial instruments are not actively traded, their respective fair values are classified within Level 2.
At September 30, 2017,2023, the Company’s senior notes of ACGL were carried at their cost, net of debt issuance costs, of $297.0 million$2.7 billion and had a fair value of $406.0 million, while$2.3 billion. At December 31, 2022, the Company’s senior notes of Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) were carried at their cost, net of debt issuance costs, of $494.6 million$2.7 billion and had a fair value of $566.2 million. The senior notes of Arch Capital Finance LLC due in 2026 were carried at their cost, net of debt issuance costs, of $496.0 million and had a fair value of $519.8 million, while the senior notes due in 2046 were carried at their cost, net of debt issuance costs, of $445.1 million and had a fair value of $503.5 million.$2.4 billion. The fair values of the senior notes were obtained from a third party pricing service and are based on observable market inputs. As such, the fair values of the senior notes are classified within Level 2.
9.    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,From time to time, 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)
September 30, 2023
Futures contracts$129 $(62)$4,515 
Foreign currency forward contracts32 (35)1,481 
Other (3)31 (17)275 
Total$192 $(114)
December 31, 2022
Futures contracts$51 $(17)$3,138 
Foreign currency forward contracts39 (35)1,136 
Other (3)59 (24)3,592 
Total$149 $(76)
 Estimated Fair Value  
 Asset Derivatives Liability Derivatives 
Notional
Value (1)
September 30, 2017     
Futures contracts (2)$5,351
 $(6,722) $1,524,985
Foreign currency forward contracts (2)19,376
 (5,348) 805,201
TBAs (3)18,331
 
 18,143
Other (2)8,414
 (10,967) 2,032,922
Total$51,472
 $(23,037)  
      
December 31, 2016     
Futures contracts (2)$360
 $(9,398) $1,655,530
Foreign currency forward contracts (2)9,354
 (12,941) 1,186,386
TBAs (3)
 
 
Other (2)20,287
 (3,710) 1,014,863
Total$30,001
 $(26,049)  
(1)    The fair value of asset derivatives are included in ‘other assets’ and the fair value of liability derivatives are included in ‘other liabilities.’
(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.’
(3)The fair value of TBAs are included in ‘fixed maturities available for sale, at fair value.’
(2)    Represents the absolute notional value of all outstanding contracts, consisting of long and short positions.
(3)    Includes swaps, options and other derivatives contracts.

The Company did not hold any derivatives which were designated as hedging instruments at September 30, 20172023 or December 31, 2016.2022.
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. Contractual close-out netting reduces derivatives credit exposure from gross to net exposure.
At September 30, 2017,2023, asset derivatives and liability derivatives of $49.4$192 million and $22.5$114 million, respectively, were subject to a master netting agreement, compared to $28.4$147 million and $26.0$73 million, respectively, at December 31, 2016.2022. The remaining derivatives included in the preceding table were not subject to a master netting agreement.
All realized
ARCH CAPITAL 322023 THIRD QUARTER FORM 10-Q

Table of Contents
ARCH CAPITAL GROUP LTD. AND SUBSIDIARIES
NOTES TO CONSOLIDATED FINANCIAL STATEMENTS (UNAUDITED)
Realized and unrealized contract gains and losses on the Company’s derivative instruments are reflected in net‘net realized

ACGL 2017 THIRD QUARTER FORM 10-Q36

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

gains (losses) in the consolidated statements of income, as summarized in the following table:
Derivatives not designated asSeptember 30,
hedging instruments:20232022
Three Months Ended
Net realized gains (losses):
Futures contracts$(87)$(26)
Foreign currency forward contracts(20)(18)
Other (1)(4)
Total$(102)$(48)
Nine Months Ended
Net realized gains (losses):
Futures contracts$(73)$(112)
Foreign currency forward contracts(46)
Other (1)40 
Total$(61)$(118)
Derivatives not designated as September 30,
hedging instruments: 2017 2016
     
Three Months Ended    
Net realized gains (losses):    
Futures contracts $4,899
 $(15,368)
Foreign currency forward contracts (228) 4,583
TBAs 122
 (23)
Other (495) (6,156)
Total $4,298
 $(16,964)
     
Nine Months Ended    
Net realized gains (losses):    
Futures contracts $7,309
 $45,954
Foreign currency forward contracts (12,266) (13,951)
TBAs 143
 311
Other (4,839) (8,212)
Total $(9,653) $24,102
(1)    Includes realized gains and losses on swaps, options and other derivatives contracts.

10.    Commitments and Contingencies

Letter of Credit and Revolving Credit Facilities
ACGLIn the normal course of its operations, the Company enters into agreements with financial institutions to obtain secured and unsecured credit facilities. On August 23, 2023, Arch Capital and certain of its subsidiaries amended the existing credit agreement (the “Credit Facility”). The Credit Facility, as amended, consists of a $425 million secured facility for letters of credit (the “Secured Facility”) and a $500 million unsecured facility for revolving loans and letters of credit (the “Unsecured Facility”). Obligations of each borrower for letters of credit under the Secured Facility are secured by cash and eligible securities of such borrower and held in collateral accounts. Commitments under the Credit Facility may be increased up to, but not exceeding, an aggregate of $1.5 billion. Arch Capital has a one-time option to convert any or all outstanding revolving loans of Arch Capital and/or Arch Capital Group (U.S.) Inc. (“Arch-U.S.”) to term loans with the same terms as the revolving loans except that any prepayments may not be re-borrowed. Borrowings of revolving loans may be made at a variable rate based on Secured Overnight Financing Rate (“SOFR”). Secured letters of credit are available for issuance on behalf of certain Arch Capital subsidiaries. Arch Capital guarantees the obligations of Arch-U.S. and Arch U.S. MI Holdings Inc., Arch-U.S. guarantees the obligations of Arch Capital, and Arch Capital Finance LLC guarantees the obligations of Arch Capital and Arch-U.S.
The commitments under the Credit Agreement will expire on August 23, 2028, and all loans then outstanding under the Credit Facility must be repaid $100.0at such time. Letters of credit issued under the Credit Facility will not have an expiration date later than August 23, 2029.
On September 27, 2023, Arch Reinsurance Ltd., (“Arch Re Bermuda”) a wholly-owned subsidiary of Arch Capital, entered as the borrower into a Letter of Credit Facility Agreement (the “LOC Agreement”) with Lloyds Bank Corporate Markets plc (“Lloyds Bank”). The LOC Agreement provides for a $175 million unsecured facility for letters of borrowingscredit. The commitments under its unsecured revolving loan andthe LOC Agreement will expire on September 27, 2025.
At September 30, 2023, the $425 million secured letter of credit facility had $355 million of letters of credit outstanding and remaining capacity of $70 million. In addition, certain of Arch Capital’s subsidiaries had outstanding secured and unsecured letters of credit through other facilities of $35 million and $400 million respectively, which were issued in the 2017 third quarter, offset by an increase in borrowings in the Company’s ‘other’ segment.normal course of business.
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 $1.58$3.1 billion at September 30, 2017,2023, compared to $1.29$2.9 billion at December 31, 2016.2022.
Interest Paid

11.    Share Transactions

Share Repurchases
The board of directors of ACGL has authorizedInterest paid on the investment in ACGL’s common shares through a share repurchase program. Since the inception of the share repurchase program, ACGL has repurchased approximately 125.2Company’s senior notes and other borrowings was $63 million common shares for an aggregate purchase price of $3.68 billion. For the nine months ended September 30, 2017, the Company did not repurchase any shares under the share repurchase program, compared to 1.1 million common shares repurchased for the nine months ended September 30, 2016 with an aggregate purchase price of $75.32023, compared to $65 million (no repurchases in the 2016 third quarter). At September 30, 2017, $446.5 million of share
repurchases were available under the program, which may be effected from time to time in open market or privately negotiated transactions through December 31, 2019. 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.
Conversion of Convertible Non-Voting Common Equivalent Preferred Shares
On June 8, 2017, ACGL and AIG entered into Amendment No. 1 (the “Amendment”) to the Investor Rights Agreement (the “Investor Rights Agreement”) dated as of December 31, 2016 to amend the restrictions on transfers of the 1,276,282 shares of ACGL’s convertible non-voting common-equivalent preference shares owned by AIG (the “Convertible Preferred Shares”). The Convertible Preferred Shares were issued to AIG as part of the consideration in UGC acquisition. Pursuant to the certificate of designations for the Convertible Preferred Shares and in accordance with the terms and conditions set forth therein, each Convertible Preferred Share is convertible into ten common shares of ACGL.
Pursuant to the Amendment, ACGL permitted AIG to transfer: (i) 638,141 Convertible Preferred Shares from and after June 8, 2017, and up to an additional 95,721 of the Convertible Preferred Shares to the extent that the several underwriters exercise the option to purchase additional securities expected to be granted pursuant to an underwritten secondary offering of ACGL common shares issuable upon conversion of the Convertible Preferred Shares by AIG and (ii) any and all of the Convertible Preferred Shares from and after January 15, 2018, subject to certain exceptions, and in each case subject to the terms and conditions of the Investor Rights Agreement. All other terms of the Investor Rights Agreement remain in effect.
In June 2017, ACGL completed an underwritten public secondary offering of 7,088,620 common shares by AIG following transfer of 708,862 Convertible Preferred Shares. Proceeds from the sale of common shares pursuant to the public offering were received by AIG. At September 30, 2017, 567,420 Convertible Preferred Shares were outstanding.
Series F Preferred Shares
In August 2017, ACGL completed a $230 million underwritten public offering of 9.2 million depositary shares (the “Depositary Shares”), each of which represents a 1/1,000th interest in a share of its 5.45% Non-Cumulative Preferred Shares, Series F, have a $0.01 par value and $25,000 liquidation preference per share (equivalent to $25 liquidation preference per Depositary Share) (the “Series F 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 F Preferred Shares represented thereby (including any dividend, liquidation, redemption and voting rights).2022 period.

ARCH CAPITALACGL 2017 332023 THIRD QUARTER FORM 10-Q37

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

11.    Variable Interest Entities
Bellemeade Re
HoldersThe Company has entered into aggregate excess of Series F Preferred Shares will be entitled to receive dividend payments only when, as and if declared by our board of directors or a duly authorized committeeloss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). At the time the Bellemeade Agreements were entered into, the applicability of the board. Anyaccounting 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 dividends will be payable from, and including,entities in its consolidated financial statements. The reinsurance premium paid in regard to the dateBellemeade Agreements is calculated by multiplying the outstanding reinsurance coverage amount at the beginning of original issue onthe period by the coupon rate, which is the SOFR plus a noncumulative basis, quarterly in arrearscontractual risk margin, less the actual investment income collected during the preceding month on the last dayassets included in the underlying reinsurance trusts. In the event the assets included in the underlying reinsurance trusts (became severely impaired or worthless and the special purpose reinsurance companies were unable to meet their future obligations, the Company’s mortgage insurance subsidiaries would be liable to fulfill claim payments to policyholders. The Company’s maximum exposure to loss associated with these VIEs is determined as the amount of March, June, September and December of each year, at an annual rate of 5.45%. Dividendsmortgage insurance claim payments on the Series F Preferred Shares are not cumulative. insured policies, net of aggregate reinsurance payments previously received, up to the full aggregate excess of loss reinsurance coverage amounts. See note 16, “Subsequent Events.”
The Company will be restricted from paying dividends on or repurchasing its common shares unless certain dividend payments are made onfollowing table summarizes 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 anniversarytotal assets of the issue date). On and after that date, the Series F Preferred Shares will be redeemableBellemeade entities:
September 30,
2023
December 31, 2022
Bellemeade Entities
(Issue Date)
Total VIE AssetsCoverage Remaining from Reinsurers (1)Total VIE
Assets
2017-1 Ltd. (Oct-17)$— $— $37 
2018-1 Ltd. (Apr-18)51 — 90 
2018-3 Ltd. (Oct-18)154 — 199 
2019-1 Ltd. (Mar-19)80 — 108 
2019-2 Ltd. (Apr-19)265 — 325 
2019-3 Ltd. (Jul-19)120 — 223 
2019-4 Ltd. (Oct-19)218 — 266 
2020-2 Ltd. (Sep-20)54 — 105 
2020-3 Ltd. (Nov-20)183 244 
2020-4 Ltd. (Dec-20)67 98 
2021-1 Ltd. (Mar-21)388 17 467 
2021-2 Ltd. (Jun-21)380 58 458 
2021-3 Ltd. (Sep-21)444 116 490 
2022-1 Ltd. (Jan-22)269 30 284 
2022-2 Ltd. (Sep-22)201 126 201 
Total$2,874 $353 $3,595 
(1) Coverage from a separate panel of reinsurers remaining 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 Depositary Shares will be redeemed if and to the extent the related Series F Preferred Shares are redeemed by the Company. Neither the 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 offering of $222.1 million and other available funds were used to redeem in part its outstanding 6.75% Series C 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) 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.September 30, 2023.

ARCH CAPITALACGL 2017 342023 THIRD QUARTER FORM 10-Q38

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

12.    Other Comprehensive Income (Loss)

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):
Amounts Reclassified from AOCI
Consolidated Statement of IncomeThree Months EndedNine Months Ended
Details AboutLine Item That IncludesSeptember 30,September 30,
AOCI ComponentsReclassification2023202220232022
Unrealized appreciation (decline) on available-for-sale investments
Net realized gains (losses)$(104)$(56)$(345)$(186)
Provision for credit losses— (23)(48)
Total before tax(104)(47)(368)(234)
Income tax (expense) benefit24 28 
Net of tax$(96)$(46)$(344)$(206)
    Amounts Reclassified from AOCI
  Consolidated Statement of Income Three Months Ended Nine Months Ended
Details About Line Item That Includes September 30, September 30,
AOCI Components Reclassification 2017 2016 2017 2016
           
Unrealized appreciation on available-for-sale investments        
  Net realized gains (losses) $27,550
 $61,464
 $59,474
 $137,555
  Other-than-temporary impairment losses (1,878) (3,867) (5,415) (16,999)
  Total before tax 25,672
 57,597
 54,059
 120,556
  Income tax (expense) benefit (1,760) (2,605) (7,879) (11,247)
  Net of tax $23,912
 $54,992
 $46,180
 $109,309
Before Tax AmountTax Expense (Benefit)Net of Tax Amount
Before Tax Amount Tax Expense (Benefit) Net of Tax Amount
Three Months Ended September 30, 2017     
Three Months Ended September 30, 2023Three Months Ended September 30, 2023
Unrealized appreciation (decline) in value of investments:     Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$69,330
 $2,868
 $66,462
Unrealized holding gains (losses) arising during period$(208)$(18)$(190)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 
Less reclassification of net realized gains (losses) included in net income25,672
 1,760
 23,912
Less reclassification of net realized gains (losses) included in net income(104)(8)(96)
Foreign currency translation adjustments8,590
 310
 8,280
Foreign currency translation adjustments(40)— (40)
Other comprehensive income (loss)$52,248
 $1,418
 $50,830
Other comprehensive income (loss)$(144)$(10)$(134)
     
Three Months Ended September 30, 2016     
Three Months Ended September 30, 2022Three Months Ended September 30, 2022
Unrealized appreciation (decline) in value of investments:     Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$11,692
 $(4,589) $16,281
Unrealized holding gains (losses) arising during period$(672)$(62)$(610)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 
Less reclassification of net realized gains (losses) included in net income57,597
 2,605
 54,992
Less reclassification of net realized gains (losses) included in net income(47)(1)(46)
Foreign currency translation adjustments(5,407) (95) (5,312)Foreign currency translation adjustments(70)— (70)
Other comprehensive income (loss)$(51,312) $(7,289) $(44,023)Other comprehensive income (loss)$(695)$(61)$(634)
     
Nine Months Ended September 30, 2017     
Nine Months Ended September 30, 2023Nine Months Ended September 30, 2023
Unrealized appreciation (decline) in value of investments:     Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$288,813
 $28,590
 $260,223
Unrealized holding gains (losses) arising during period$(131)$(13)$(118)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)
 
 
Less reclassification of net realized gains (losses) included in net income54,059
 7,879
 46,180
Less reclassification of net realized gains (losses) included in net income(368)(24)(344)
Foreign currency translation adjustments30,264
 563
 29,701
Foreign currency translation adjustments(33)— (33)
Other comprehensive income (loss)$265,018
 $21,274
 $243,744
Other comprehensive income (loss)$204 $11 $193 
     
Nine Months Ended September 30, 2016     
Nine Months Ended September 30, 2022Nine Months Ended September 30, 2022
Unrealized appreciation (decline) in value of investments:     Unrealized appreciation (decline) in value of investments:
Unrealized holding gains (losses) arising during period$281,770
 $30,048
 $251,722
Unrealized holding gains (losses) arising during period$(2,132)$(240)$(1,892)
Portion of other-than-temporary impairment losses recognized in other comprehensive income (loss)(150) 
 (150)
Less reclassification of net realized gains (losses) included in net income120,556
 11,247
 109,309
Less reclassification of net realized gains (losses) included in net income(234)(28)(206)
Foreign currency translation adjustments(5,733) 417
 (6,150)Foreign currency translation adjustments(141)— (141)
Other comprehensive income (loss)$155,331
 $19,218
 $136,113
Other comprehensive income (loss)$(2,039)$(212)$(1,827)
ARCH CAPITALACGL 2017 352023 THIRD QUARTER FORM 10-Q39

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

13.    Guarantor Financial Information

The following tables present condensed financial information for ACGL, Arch-U.S., a 100% owned subsidiary of ACGL, and ACGL’s other subsidiaries.
 
September 30, 2017
Condensed Consolidating Balance SheetACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Assets         
Total investments$402
 $69,671
 $21,876,508
 $(14,700) $21,931,881
Cash4,868
 88,818
 768,675
 
 862,361
Investments in subsidiaries9,214,178
 4,028,493
 
 (13,242,671) 
Due from subsidiaries and affiliates81
 117
 1,923,941
 (1,924,139) 
Premiums receivable
 
 1,863,203
 (593,525) 1,269,678
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 7,023,836
 (4,517,821) 2,506,015
Contractholder receivables
 
 1,864,348
 
 1,864,348
Ceded unearned premiums
 
 2,240,129
 (1,292,994) 947,135
Deferred acquisition costs
 
 677,567
 (146,371) 531,196
Goodwill and intangible assets
 
 684,405
 
 684,405
Other assets13,357
 59,734
 2,146,993
 (192,306) 2,027,778
 Total assets$9,232,886
 $4,246,833
 $41,069,605
 $(21,924,527) $32,624,797
           
Liabilities         
Reserve for losses and loss adjustment expenses$
 $
 $15,836,263
 $(4,484,996) $11,351,267
Unearned premiums
 
 5,044,544
 (1,292,994) 3,751,550
Reinsurance balances payable
 
 945,530
 (593,524) 352,006
Contractholder payables
 
��1,864,348
 
 1,864,348
Collateral held for insured obligations
 
 345,726
 
 345,726
Senior notes297,030
 494,596
 941,100
 
 1,732,726
Revolving credit agreement borrowings
 
 826,242
 
 826,242
Due to subsidiaries and affiliates41
 542,103
 1,381,996
 (1,924,140) 
Other liabilities24,671
 100,278
 2,669,614
 (371,502) 2,423,061
 Total liabilities321,742
 1,136,977
 29,855,363
 (8,667,156) 22,646,926
           
Redeemable noncontrolling interests
 
 220,529
 (14,700) 205,829
           
Shareholders’ Equity         
Total shareholders’ equity available to Arch8,911,144
 3,109,856
 10,132,815
 (13,242,671) 8,911,144
Non-redeemable noncontrolling interests
 
 860,898
 
 860,898
 Total shareholders’ equity8,911,144
 3,109,856
 10,993,713
 (13,242,671) 9,772,042
          
 Total liabilities, noncontrolling interests and shareholders’ equity$9,232,886
 $4,246,833
 $41,069,605
 $(21,924,527) $32,624,797






Income Taxes
ACGL 2017 THIRD QUARTER FORM 10-Q40

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


  December 31, 2016
Condensed Consolidating Balance SheetACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Assets         
Total investments$2,612
 $41,672
 $19,690,067
 $(14,700) $19,719,651
Cash1,687
 71,955
 769,300
 
 842,942
Investments in subsidiaries8,660,586
 3,716,681
 
 (12,377,267) 
Due from subsidiaries and affiliates14,297
 51,298
 1,866,681
 (1,932,276) 
Premiums receivable
 
 1,579,865
 (507,430) 1,072,435
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses
 
 6,114,518
 (4,000,380) 2,114,138
Contractholder receivables
 
 1,717,436
 
 1,717,436
Ceded unearned premiums
 
 1,985,311
 (1,125,744) 859,567
Deferred acquisition costs
 
 577,461
 (129,901) 447,560
Goodwill and intangible assets
 
 781,553
 
 781,553
Other assets15,725
 49,244
 1,901,786
 (149,928) 1,816,827
 Total assets$8,694,907
 $3,930,850
 $36,983,978
 $(20,237,626) $29,372,109
           
Liabilities         
Reserve for losses and loss adjustment expenses$
 $
 $14,164,191
 $(3,963,231) $10,200,960
Unearned premiums
 
 4,532,614
 (1,125,744) 3,406,870
Reinsurance balances payable
 
 807,837
 (507,430) 300,407
Contractholder payables
 
 1,717,436
 
 1,717,436
Collateral held for insured obligations
 
 301,406
 
 301,406
Deposit accounting liabilities
 
 22,150
 
 22,150
Senior notes296,957
 494,525
 940,776
 
 1,732,258
Revolving credit agreement borrowings100,000
 
 656,650
 
 756,650
Due to subsidiaries and affiliates26,270
 535,584
 1,370,422
 (1,932,276) 
Other liabilities17,962
 54,823
 1,867,040
 (316,978) 1,622,847
 Total liabilities441,189
 1,084,932
 26,380,522
 (7,845,659) 20,060,984
           
Redeemable noncontrolling interests
 
 220,253
 (14,700) 205,553
           
Shareholders’ Equity         
Total shareholders’ equity available to Arch8,253,718
 2,845,918
 9,531,349
 (12,377,267) 8,253,718
Non-redeemable noncontrolling interests
 
 851,854
 
 851,854
 Total shareholders’ equity8,253,718
 2,845,918
 10,383,203
 (12,377,267) 9,105,572
          
 Total liabilities, noncontrolling interests and shareholders’ equity$8,694,907
 $3,930,850
 $36,983,978
 $(20,237,626) $29,372,109


ACGL 2017 THIRD QUARTER FORM 10-Q41

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


  Three Months Ended September 30, 2017
Condensed Consolidating Statement of Income and Comprehensive IncomeACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Revenues         
Net premiums earned$
 $
 $1,261,886
 $
 $1,261,886
Net investment income117
 151
 138,784
 (22,593) 116,459
Net realized gains (losses)
 
 66,275
 
 66,275
Net impairment losses recognized in earnings
 
 (1,878) 
 (1,878)
Other underwriting income
 
 6,064
 
 6,064
Equity in net income (loss) of investment funds accounted for using the equity method
 
 31,090
 
 31,090
Other income (loss)(102) 
 (240) 
 (342)
 Total revenues15
 151
 1,501,981
 (22,593) 1,479,554
           
Expenses         
Losses and loss adjustment expenses
 
 1,046,141
 
 1,046,141
Acquisition expenses
 
 193,854
 
 193,854
Other operating expenses
 
 170,127
 
 170,127
Corporate expenses14,576
 410
 2,112
 
 17,098
Amortization of intangible assets
 
 31,824
 
 31,824
Interest expense5,934
 12,037
 33,811
 (22,272) 29,510
Net foreign exchange (gains) losses
 
 20,510
 7,518
 28,028
 Total expenses20,510
 12,447
 1,498,379
 (14,754) 1,516,582
           
Income (loss) before income taxes(20,495) (12,296) 3,602
 (7,839) (37,028)
Income tax (expense) benefit
 4,432
 (12,621) 
 (8,189)
Income (loss) before equity in net income of subsidiaries(20,495) (7,864) (9,019) (7,839) (45,217)
Equity in net income (loss) of subsidiaries(13,161) 50,057
 
 (36,896) 
Net income (loss)(33,656) 42,193
 (9,019) (44,735) (45,217)
Net (income) loss attributable to noncontrolling interests
 
 11,238
 323
 11,561
Net income (loss) available to Arch(33,656) 42,193
 2,219
 (44,412) (33,656)
Preferred dividends(12,369) 
 
 
 (12,369)
Loss on redemption of preferred shares(6,735) 
 
 
 (6,735)
Net income (loss) available to Arch common shareholders$(52,760) $42,193
 $2,219
 $(44,412) $(52,760)
           
Comprehensive income (loss) available to Arch$17,585
 $47,676
 $45,936
 $(93,612) $17,585


ACGL 2017 THIRD QUARTER FORM 10-Q42

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


  Three Months Ended September 30, 2016
Condensed Consolidating Statement of Income and Comprehensive IncomeACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Revenues         
Net premiums earned$
 $
 $958,403
 $
 $958,403
Net investment income6
 803
 99,654
 (6,845) 93,618
Net realized gains (losses)
 
 125,105
 
 125,105
Net impairment losses recognized in earnings
 
 (3,867) 
 (3,867)
Other underwriting income
 
 7,980
 
 7,980
Equity in net income (loss) of investment funds accounted for using the equity method
 
 16,662
 
 16,662
Other income (loss)71
 
 (471) 
 (400)
 Total revenues77
 803
 1,203,466
 (6,845) 1,197,501
           
Expenses         
Losses and loss adjustment expenses
 
 524,183
 
 524,183
Acquisition expenses
 
 161,267
 
 161,267
Other operating expenses
 
 153,286
 
 153,286
Corporate expenses18,488
 608
 (611) 
 18,485
Amortization of intangible assets
 
 4,865
 
 4,865
Interest expense5,948
 6,627
 9,890
 (6,522) 15,943
Net foreign exchange (gains) losses
 
 2,723
 (102) 2,621
 Total expenses24,436
 7,235
 855,603
 (6,624) 880,650
           
Income (loss) before income taxes(24,359) (6,432) 347,863
 (221) 316,851
Income tax (expense) benefit
 2,116
 (15,347) 
 (13,231)
Income (loss) before equity in net income of subsidiaries(24,359) (4,316) 332,516
 (221) 303,620
Equity in net income of subsidiaries277,231
 21,945
 
 (299,176) 
Net income252,872
 17,629
 332,516
 (299,397) 303,620
Net (income) loss attributable to noncontrolling interests
 
 (51,071) 323
 (50,748)
Net income available to Arch252,872
 17,629
 281,445
 (299,074) 252,872
Preferred dividends(5,484) 
 
 
 (5,484)
Net income available to Arch common shareholders$247,388
 $17,629
 $281,445
 $(299,074) $247,388
           
Comprehensive income (loss) available to Arch$208,790
 $2,019
 $237,555
 $(239,574) $208,790

ACGL 2017 THIRD QUARTER FORM 10-Q43

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


  Nine Months Ended September 30, 2017
Condensed Consolidating Statement of Income and Comprehensive IncomeACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Revenues         
Net premiums earned$
 $
 $3,619,777
 $
 $3,619,777
Net investment income123
 1,151
 410,392
 (66,209) 345,457
Net realized gains (losses)
 
 122,163
 
 122,163
Net impairment losses recognized in earnings
 
 (5,415) 
 (5,415)
Other underwriting income
 
 15,519
 
 15,519
Equity in net income of investment funds accounted for using the equity method
 
 111,884
 
 111,884
Other income (loss)(368) 
 (2,750) 
 (3,118)
 Total revenues(245) 1,151
 4,271,570
 (66,209) 4,206,267
           
Expenses         
Losses and loss adjustment expenses
 
 2,288,571
 
 2,288,571
Acquisition expenses
 
 566,579
 
 566,579
Other operating expenses
 
 514,827
 
 514,827
Corporate expenses53,639
 3,727
 12,400
 
 69,766
Amortization of intangible assets
 
 93,942
 
 93,942
Interest expense18,024
 35,956
 98,197
 (65,242) 86,935
Net foreign exchange losses (gains)
 
 65,701
 21,274
 86,975
 Total expenses71,663
 39,683
 3,640,217
 (43,968) 3,707,595
           
Income (loss) before income taxes(71,908) (38,532) 631,353
 (22,241) 498,672
Income tax (expense) benefit
 13,374
 (84,129) 
 (70,755)
Income (loss) before equity in net income of subsidiaries(71,908) (25,158) 547,224
 (22,241) 427,917
Equity in net income of subsidiaries476,546
 213,586
 
 (690,132) 
Net income404,638
 188,428
 547,224
 (712,373) 427,917
Amounts attributable to noncontrolling interests
 
 (24,247) 968
 (23,279)
Net income available to Arch404,638
 188,428
 522,977
 (711,405) 404,638
Preferred dividends(34,936) 
 
 
 (34,936)
Loss on redemption of preferred shares(6,735) 
 
 
 (6,735)
Net income available to Arch common shareholders$362,967
 $188,428
 $522,977
 $(711,405) $362,967
           
Comprehensive income (loss) available to Arch$648,861
 $240,759
 $745,856
 $(986,615) $648,861


ACGL 2017 THIRD QUARTER FORM 10-Q44

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


  Nine Months Ended September 30, 2016
Condensed Consolidating Statement of Income and Comprehensive IncomeACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Revenues         
Net premiums earned$
 $
 $2,915,967
 $
 $2,915,967
Net investment income7
 2,351
 294,012
 (20,679) 275,691
Net realized gains (losses)
 
 230,647
 
 230,647
Net impairment losses recognized in earnings
 
 (16,849) 
 (16,849)
Other underwriting income
 
 54,749
 (16,498) 38,251
Equity in net income of investment funds accounted for using the equity method
 
 32,054
 
 32,054
Other income (loss)270
 
 (702) 
 (432)
 Total revenues277
 2,351
 3,509,878
 (37,177) 3,475,329
           
Expenses         
Losses and loss adjustment expenses
 
 1,631,724
 
 1,631,724
Acquisition expenses
 
 501,782
 
 501,782
Other operating expenses
 
 460,748
 
 460,748
Corporate expenses45,284
 1,549
 (1,765) 
 45,068
Amortization of intangible assets
 
 14,493
 
 14,493
Interest expense17,811
 19,946
 46,169
 (36,213) 47,713
Net foreign exchange losses (gains)
 
 5,093
 (3,568) 1,525
 Total expenses63,095
 21,495
 2,658,244
 (39,781) 2,703,053
           
Income (loss) before income taxes(62,818) (19,144) 851,634
 2,604
 772,276
Income tax (expense) benefit
 6,446
 (50,118) 
 (43,672)
Income (loss) before equity in net income of subsidiaries(62,818) (12,698) 801,516
 2,604
 728,604
Equity in net income of subsidiaries681,543
 64,684
 
 (746,227) 
Net income618,725
 51,986
 801,516
 (743,623) 728,604
Amounts attributable to noncontrolling interests
 
 (110,844) 965
 (109,879)
Net income available to Arch618,725
 51,986
 690,672
 (742,658) 618,725
Preferred dividends(16,453) 
 
 
 (16,453)
Net income available to Arch common shareholders$602,272
 $51,986
 $690,672
 $(742,658) $602,272
           
Comprehensive income (loss) available to Arch$754,979
 $89,204
 $830,348
 $(919,552) $754,979



ACGL 2017 THIRD QUARTER FORM 10-Q45

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


  Nine Months Ended September 30, 2017
Condensed Consolidating Statement
of Cash Flows
ACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Operating Activities         
 Net Cash Provided By (Used For) Operating Activities$130,715
 $70,761
 $1,464,701
 $(585,043) $1,081,134
Investing Activities         
Purchases of fixed maturity investments
 
 (28,079,129) 
 (28,079,129)
Purchases of equity securities
 
 (667,135) 
 (667,135)
Purchases of other investments
 
 (1,406,528) 
 (1,406,528)
Proceeds from the sales of fixed maturity investments
 
 27,629,474
 
 27,629,474
Proceeds from the sales of equity securities
 
 751,873
 
 751,873
Proceeds from the sales, redemptions and maturities of other investments
 
 938,581
 
 938,581
Proceeds from redemptions and maturities of fixed maturity investments
 
 747,621
 
 747,621
Net settlements of derivative instruments
 
 (20,952) 
 (20,952)
Net (purchases) sales of short-term investments2,209
 (27,998) (938,864) 
 (964,653)
Change in cash collateral related to securities lending
 
 148,692
 
 148,692
Contributions to subsidiaries20,641
 (72,900) (353,588) 405,847
 
Issuance of intercompany loans
 
 (47,000) 47,000
 
Repayment of intercompany loans
 47,000
 
 (47,000) 
Acquisitions, net of cash
 
 (27,709) 
 (27,709)
Purchases of fixed assets(18) 
 (16,844) 
 (16,862)
Other
 
 106,786
 (20,641) 86,145
 Net Cash Provided By (Used For) Investing Activities22,832
 (53,898) (1,234,722) 385,206
 (880,582)
Financing Activities         
Proceeds from issuance of preferred shares, net222,054
 
 
 
 222,054
Redemption of preferred shares(230,000) 
 
 
 (230,000)
Proceeds from common shares issued, net(7,484) 
 405,847
 (405,847) (7,484)
Proceeds from intercompany borrowings
 
 47,000
 (47,000) 
Proceeds from borrowings
 
 238,915
 
 238,915
Repayments of intercompany borrowings
 
 (47,000) 47,000
 
Repayments of borrowings(100,000) 
 (72,000) 
 (172,000)
Change in cash collateral related to securities lending
 
 (148,692) 
 (148,692)
Dividends paid to redeemable noncontrolling interests
 
 (14,447) 956
 (13,491)
Dividends paid to parent (1)
 
 (584,087) 584,087
 
Other
 
 (69,921) 20,641
 (49,280)
Preferred dividends paid(34,936) 
 
 
 (34,936)
 Net Cash Provided By (Used For) Financing Activities(150,366) 
 (244,385) 199,837
 (194,914)
Effects of exchange rates changes on foreign currency cash
 
 13,781
 
 13,781
Increase (decrease) in cash3,181
 16,863
 (625) 
 19,419
Cash beginning of year1,687
 71,955
 769,300
 
 842,942
Cash end of period$4,868
 $88,818
 $768,675
 $
 $862,361

(1)     Dividends received by parent are included in net cash provided by (used for) operating activities.


ACGL 2017 THIRD QUARTER FORM 10-Q46

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


  Nine Months Ended September 30, 2016
Condensed Consolidating Statement
of Cash Flows
ACGL (Parent Guarantor) Arch-U.S. (Subsidiary Issuer) Other ACGL Subsidiaries Consolidating Adjustments and Eliminations ACGL Consolidated
Operating Activities         
 Net Cash Provided By (Used For) Operating Activities$94,250
 $14,448
 $1,096,443
 $(168,002) $1,037,139
Investing Activities         
Purchases of fixed maturity investments
 
 (27,840,555) 
 (27,840,555)
Purchases of equity securities
 
 (377,767) 
 (377,767)
Purchases of other investments
 
 (1,008,774) 
 (1,008,774)
Proceeds from the sales of fixed maturity investments
 
 26,731,924
 
 26,731,924
Proceeds from the sales of equity securities
 
 464,904
 
 464,904
Proceeds from the sales, redemptions and maturities of other investments
 
 879,330
 
 879,330
Proceeds from redemptions and maturities of fixed maturity investments
 41,500
 499,323
 
 540,823
Net settlements of derivative instruments
 
 23,396
 
 23,396
Net (purchases) sales of short-term investments(436,830) (53,779) (113,553) 
 (604,162)
Change in cash collateral related to securities lending
 
 (27,935) 
 (27,935)
Contributions to subsidiaries(3,585) 
 (9,247) 12,832
 
Acquisitions, net of cash
 
 (20,911) 
 (20,911)
Purchases of fixed assets(8) 
 (11,557) 
 (11,565)
Other2,000
 
 (5,816) 
 (3,816)
 Net Cash Provided By (Used For) Investing Activities(438,423) (12,279) (817,238) 12,832
 (1,255,108)
Financing Activities         
Proceeds from issuance of preferred shares, net434,899
 
 
 
 434,899
Purchases of common shares under share repurchase program(75,256) 
 
 
 (75,256)
Proceeds from common shares issued, net(3,785) 
 12,832
 (12,832) (3,785)
Proceeds from borrowings
 
 46,000
 
 46,000
Repayments of borrowings
 
 (179,171) 
 (179,171)
Change in cash collateral related to securities lending
 
 27,935
 
 27,935
Dividends paid to redeemable noncontrolling interests
 
 (14,448) 957
 (13,491)
Dividends paid to parent (1)
 
 (167,045) 167,045
 
Other
 200
 32,913
 
 33,113
Preferred dividends paid(16,453) 
 
 
 (16,453)
 Net Cash Provided By (Used For) Financing Activities339,405
 200
 (240,984) 155,170
 253,791
Effects of exchange rates changes on foreign currency cash
 
 (10,332) 
 (10,332)
Increase (decrease) in cash(4,768) 2,369
 27,889
 
 25,490
Cash beginning of year6,809
 17,023
 529,494
 
 553,326
Cash end of period$2,041
 $19,392
 $557,383
 $
 $578,816

(1)     Dividends received by parent are included in net cash provided by (used for) operating activities.


ACGL 2017 THIRD QUARTER FORM 10-Q47

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

14.    Income Taxes

The Company’s income tax provision on income before income taxes, including income (loss) from operating affiliates, resulted in an expenseeffective tax rate of 14.2%8.8% for the nine months ended September 30, 2017,2023, compared to an expense of 5.7%3.0% for the 2016 period.nine months ended September 30, 2022. The Company’s effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from period to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction. For interim reporting purposes, the Company has calculated itsThe effective tax rate for the full year of 2017 by treating any excess tax benefits that arise from the accounting for stock based compensation as a discrete item. As such, this amount is not included when projecting the Company’s full year effective tax rate but rather is accounted for at the U.S. Federal statutory rate of 35% after applying the projected full year effective tax rate to actual nine-month results before the discrete item. The impact of the discrete item resulted in a benefit of 1.5% for the nine months ended September 30, 2017.2023 and 2022, included discrete income tax benefits of $6 million and $37 million, which had the effect of decreasing the effective tax rate on net income available to Arch common shareholders by 0.3% and 5.7%, respectively. The discrete tax items in the 2023 and 2022 periods were primarily related to equity compensation windfall benefits and the release of a valuation allowance on certain U.K. deferred tax assets, respectively.
The Company had a net deferred tax asset of $248.3$496 million at September 30, 2017,2023, compared to $221.2a net deferred tax asset of $531 million at December 31, 2016.2022. The change is primarily a result of market value fluctuations in the Company’s investment portfolio. In addition, the Company paid $47.9$127 million and $40.7$202 million of income taxes for the nine months ended September 30, 20172023 and 2016,2022, respectively.
15.14.    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 September 30, 2017,2023, 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.
16.15.    Transactions with Related Parties

Kewsong Lee, a director of ACGL,Premia Reinsurance Ltd. is a Managing Director and Deputy Chief Investment Officer for Corporate Private Equity of Carlyle Group LP (“Carlyle”multi-line Bermuda reinsurance company (and its affiliates together with Premia Holdings Ltd., “Premia”). As part of its investment philosophy, the Company invests a portion of its investment portfolio in alternative investment funds. As of September 30, 2017, the total value of the Company’s investments in funds or other investments managed by Carlyle was approximately $248.5 million, and the Company had aggregate unfunded commitments to funds managed by Carlyle of $471.6 million. The Company may make additional commitments to funds managed by Carlyle from time to time. Duringhas entered into certain reinsurance transactions with Premia. For the nine months ended September 30, 2017 and 2016,2023, the Company made aggregate capital contributionsrecorded net premiums written and earned of approximately $80 million, compared to a de minimis amount for the nine months ended September 30, 2022. At September 30, 2023, the Company recorded a funds managedheld asset from Premia of $176 million, compared to $119 million at December 31, 2022.
Somers Group Holdings Ltd. and its wholly owned subsidiaries (collectively, “Somers”) are wholly owned by CarlyleGreysbridge. The Company has entered into certain reinsurance transactions with Somers. For the nine months ended September 30, 2023, the Company’s net premiums written was reduced by $457 million, compared to $552 million for the nine months ended September 30, 2022. In addition, Somers paid certain acquisition costs and administrative fees to the Company. At September 30, 2023, the Company recorded a reinsurance recoverable on unpaid and paid losses from Somers of $86.0$1.3 billion and a reinsurance balance payable to Somers of $499 million, compared to $1.2 billion and $50.1$414 million, respectively, and received aggregate cash distributions from funds managed by Carlyle of $48.7 million and $17.9 million, respectively. Effective November 2, 2017, Mr. Lee resigned from ACGL’s Board of Directors because of the expansion of his duties at Carlyle following his recent promotion to co-CEO effective January 1, 2018.
17.    Acquisition

On July 1, 2017, the Company completed its previously announced acquisition of AIG United Guaranty Insurance (Asia) Limited (renamed “Arch MI Asia Limited”) following the payment of $40.0 million to AIG. Arch MI Asia Limited compliments the Company’s existing private mortgage insurance businesses, which have operations in the United States, Europe and Australia.
The purchase price was allocated to the acquired assets and liabilities of Arch MI Asia Limited based on estimated fair values on the acquisition date. The Company recognized other intangible assets of $2.3 million and goodwill of $0.8 million. The goodwill balance is primarily attributed to Arch MI Asia Limited’s assembled workforce and access to the mortgage insurance market. None of the goodwill recognized is expected to be deductible for income tax purposes.December 31, 2022.

ARCH CAPITALACGL 2017 362023 THIRD QUARTER FORM 10-Q48

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

18.16.    Subsequent Events

OnBellemeade Re 2023-1 Ltd.
In October 25, 2017,2023, the Company’s first-lien U.S. mortgage insurance subsidiaries entered into an aggregate excess of loss reinsurance agreement with Bellemeade Re 2017-12023-1 Ltd. (“Bellemeade III”2023-1”), a special purpose reinsurance company domiciled in Bermuda. The Bellemeade III2023-1 agreement provides for up to $368.1$233 million of aggregate excess of loss reinsurance coverage at inception in excess of $62 million of aggregate losses for new delinquencies on a portfolio of in-force policies primarily issued betweenfrom January 1, 2017 and June 30, 2017. For the coverage period, Bellemeade III will cover $368.1 million in excess of $165.7 million of aggregate losses.2023 through September 2023. The coverage amount decreases over a ten-year period as the underlying covered mortgages amortize.
Bellemeade III2023-1 financed the coverage through the issuance of mortgage insurance-linked notes in an aggregate amount of approximately $368.1$187 million to unrelated investors (the “Notes”). and an additional $46 million capacity was provided directly to Arch MI U.S. by a separate panel of reinsurers. The maturity date of the Notes is October 25, 2027.2033. The Notes will be redeemed prior to maturity upon the occurrence of a mandatory termination event or if the ceding insurers trigger a termination of the reinsurance agreement following the occurrence of an optional termination event. All of the proceeds paid to Bellemeade III2023-1 from the sale of the Notes were deposited into a reinsurance trust for the sole benefit of the ceding insurers as security for Bellemeade III’s2023-1’s obligations. At all times, funds in the reinsurance trust account are required to be invested in high credit quality money market funds.
In
Letter of Credit Facility Agreement
On October 2017, a series of wildfires burned across several California counties. With the information available, the Company has established a preliminary range of pre-tax losses of $30 million to $55 million for these wildfires, net of reinsurance25, 2023, Arch Re Bermuda entered into Amendment No. 3 and reinstatement premiums. At this time, there are significant uncertainties surrounding the numbers of claims and scope of damage for these wildfires. The Company’s preliminary estimate for the wildfires is based on currently available information derived from modeling techniques, industry assessments of exposure, preliminary claims information obtained from the Company’s clients and brokers to date and a review of in-force contracts. Actual losses from these wildfires may vary materially from the estimates dueJoinder to the inherent uncertaintiesLetter of Credit Facility Agreement with Lloyds Bank, which amends the Letter of Credit Facility Agreement, dated as of November 3, 2020, as amended by Amendment No. 1 to Letter of Credit Facility Agreement dated as of October 29, 2021 and as further amended by Amendment No. 2 and Joinder to Letter of Credit Facility Agreement dated as of October 27, 2022 (the “Existing LOC Agreement”). The Existing LOC Agreement, as amended by Amendment No. 3 (the “Amended LOC Agreement”), provides for a $530 million facility for letters of credit in making such determinations.

respect of Tier 2 Funds at Lloyds. As of October 25, 2023, $530 million face amount of letters of credit had been issued under this facility. The availability period ends on May 31, 2024.

ARCH CAPITAL 372023 THIRD QUARTER FORM 10-Q

ACGL 2017 THIRD QUARTER FORM 10-Q49



ITEM 2.     MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS
ITEM 2.
MANAGEMENT’S DISCUSSION AND ANALYSIS OF FINANCIAL CONDITION AND RESULTS OF OPERATIONS
The following is a discussion and analysis of our financial condition and results of operations. This should be read in conjunction with our consolidated financial statements included in Item 1 of this report and also our Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our Annual Report on Form 10-K for the year ended December 31, 20162022 (“20162022 Form 10-K”). In addition, readers should review “Risk Factors” set forth in Item 1A of Part I of our 20162022 Form 10-K. Tabular10-K and “ITEM 1A—Risk Factors” of this Form 10-Q. All amounts are in U.S. Dollars in thousands,millions, except per share amounts, unless otherwise noted.
Arch Capital Group Ltd. (“ACGL”Arch Capital” and, together with its subsidiaries, “Arch”, “we”, “our” or “us”) is a publicly listed Bermuda public limited liabilityexempted company with approximately $11.04$18.0 billion in capital at September 30, 20172023 and, through operations in Bermuda, the United States, Europe, Canada and Australia, writes insurance, reinsurance and mortgage insurance on a worldwide basis.
Page No.
Current Outlook
Financial Measures
Comments on Non-GAAP Measures
Results of Operations
Insurance Segment
Reinsurance Segment
Mortgage Segment
Corporate Segment
Critical Accounting Policies, Estimates and Recent Accounting Pronouncements
Financial Condition
Liquidity
Capital Resources
Catastrophic and Severe Economic Events
Market Sensitive Instruments and Risk Management
ARCH CAPITAL 382023 THIRD QUARTER FORM 10-Q

CURRENT OUTLOOK

As we near the end of 2023 and look ahead to 2024, our objective to deliver long term value for our shareholders remains the same. With our commitment to underwriting acumen, prudent reserving and cycle-focused capital allocation, we were able to deliver another profitable quarter. The 2023 third quarter net income available to Arch common shareholder was $713 million, primarily reflecting strong underwriting returns. Our underwriting teams capitalized on good market conditions and relatively light catastrophe losses to produce an outstanding $721 million of underwriting income in the 2023 third quarter. Financial highlights for the quarter included book value per share growth of 4.3% and annualized net income and operating returns on average common equity of 20.2% and 24.8%, respectively. See “Comment on Non-GAAP Financial Measures.”
Our property and casualty underwriting teams continued to lean into attractive market conditions where excellent risk-adjusted returns remain available resulting in $3.1 billion of net premium written in the 2023 third quarter, up 26% from one year ago. Broadly, we continue to achieve rate increases above loss trend in most sectors of the property and casualty market. Although rate increases are slowing in some lines, they are re-accelerating in others, which is a good reminder that there is not a single insurance cycle, but many. We continue to execute our cycle management strategy by actively allocating capital to the segments with the best risk-adjusted returns.
In our insurance segment, we continue to take advantage of favorable global market conditions. Growth in net premiums written in the insurance segment was over 11% in the 2023 third quarter. Such growth was more broad-based because of our focus on small and medium-sized specialty accounts. Although pricing has declined in some lines, such as large public directors’ and officers’ liability insurance, the property and casualty markets in which our insurance segment operates generally continue to provide adequate returns.
As underwriting opportunities arise, our reinsurance segment is able to react quickly and significantly when markets pivot. In the reinsurance property market, our overall exposure to property catastrophe risk remains well below our self-imposed threshold (see Catastrophic and Severe Economic Events) and, because of our diversified portfolio and broad set of opportunities, we retain the flexibility to pursue the most attractive returns across lines and geographies. Our expectation is that we will continue to see hard property casualty insurance market environmentconditions through next year’s renewal cycle as loss activity remains elevated.
Inflation continues to be competitivea focus 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 our business, consistent with our view in prior quarters, reflecting slight deterioration in rates across certain sectors. As in prior quarters, this has led to flat or lower writings in certain property casualty lines in the 2017 third quarter. However, with the continued low interest rate environment, additional price increases are needed in many lines in order forfuture investment returns and prudent reserving, allows us to achievemaximize the capabilities of our return requirements. Recent catastrophic loss activity, including Hurricanes Harvey, Irma and Maria and the California wildfires, may result in improvements in rates and provide opportunities for growth. Our underwriting teams continue to execute a disciplined strategy by emphasizing small and medium-sized accounts over large accounts and by utilizing reinsurance purchases to reduce volatility on large account, high capacity business.diversified platform.
Our mortgage segment continues to experience favorable market conditions. The mortgage segment includesdeliver a steady level of earnings for our shareholders. Higher persistency of our in force U.S. primary mortgage insurance operations, internationalportfolio helped offset the slight decrease in new insurance written, which has been affected by a lower volume of mortgage insurance and reinsurance operationsoriginations primarily as well as government sponsored enterprise (“GSE”) credit-risk sharing transactions. On December 31, 2016, we completed the acquisitiona result of United Guaranty Corporation, a North Carolina corporation (“UGC”) from American International Group, Inc. (“AIG”). The acquisition of UGC expanded our U.S. primaryhigher mortgage insurance operations by combining UGC’s position as the market leader in the U.S. private mortgage insurance industry with Arch’s financial strength and history of innovation. On July 1, 2017, we completed our previously announced
acquisition of AIG United Guaranty Insurance (Asia) Limited from AIG (renamed “Arch MI Asia Limited”).
We insure mortgages for homes in areas that have been impacted by catastrophic events, such as Hurricanes Harvey and Irma and the California wildfires. We anticipate that we will experience an increase in delinquency notices on insured loans impacted by such events, principally in the 2017 fourth quarter. 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. The 2017 third quarter results do not include a reserve for claims associated with future notices not yet reported as, in accordance with GAAP, no reserves are recorded until we are notified of the delinquencies. Management anticipates that subsequent quarters may experience some loss activity from the impacted areas, but does not expect this to be material.
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.rates. We continue to looksee meaningful opportunities 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.
Changing economic conditions could have a material impact on the frequency and severity of claims and, therefore, could negatively impact our underwriting returns. In addition, volatility in the financial markets could continue to significantly affect our investment returns, reported results and shareholders’ equity. We consider the potential impact of economic trends in the estimation process for establishing unpaid losses and loss adjustment expenses and in determining our investment strategies. In addition, weaknessmortgage segment outside of the U.S., European countries and other key economies, projected budget deficits for the U.S., European countries and other governments and the consequences associated with potential downgrades of securities of the U.S., European countries and other governments by credit rating agenciesour strategic decision to diversify our mortgage operations is inherently unpredictable and could have a material adverse effect on financial markets and economic conditions in the U.S. and
yielding positive results.

FINANCIAL MEASURES
ACGL 2017 THIRD QUARTER FORM 10-Q50


throughout the world. In turn, this could have a material adverse effect on our business, financial condition and results of operations and, in particular, this could have a material adverse effect on the value and liquidity of securities in our investment portfolio.
NATURAL CATASTROPHE RISK

We monitor our natural catastrophe risk globally for all perils and regions, in each case, where we believe there is significant exposure. 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. Currently, we seek to limit our 1-in-250 year return period net probable maximum pre-tax loss from a severe catastrophic event in any geographic zone to approximately 25% of total shareholders’ equity available to Arch. We reserve the right to change this threshold at any time.
Based on in-force exposure estimated as of October 1, 2017, our modeled peak zone catastrophe exposure was a windstorm affecting the Northeastern U.S., with a net probable maximum pre-tax loss of $493 million, followed by windstorms affecting the Gulf of Mexico and Florida Tri-County regions with net probable maximum pre-tax losses of $442 million and $383 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. As of October 1, 2017, our modeled peak zone earthquake exposure (Los Angeles earthquake) represented approximately 60% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (Japan earthquake) was substantially less than both our peak zone windstorm and earthquake exposures.
Net probable maximum pre-tax loss estimates are net of expected reinsurance recoveries, before income tax and before excess reinsurance reinstatement premiums. 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 loss estimates include clash estimates from other zones. The loss estimates shown above 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 a net loss greater than 25% of total shareholders’ equity available to Arch from one or more catastrophic 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. Actual losses may also 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 “Risk Factors—Risks Relating to Our Industry” and “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Natural and Man-Made Catastrophic Events” in our 2016 Form 10-K.
FINANCIAL MEASURES

Management uses the following three key financial indicators in evaluating our performance and measuring the overall growth in value generated for ACGL’sArch Capital’s common shareholders:
Book Value per Common Share
Book value per common share represents total common shareholders’ equity available to Arch divided by the number of common shares outstanding. Management uses growth in book value per common share as a key measure of the value generated for our common shareholders each period and believes that book value per common share is the key driver of ACGL’sArch Capital’s share price over time. Book value per common 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 common share depending on the purchase price.
Book value per common share was $59.61$38.62 at September 30, 2017,2023, compared to $59.60$37.04 at June 30, 20172023, and $53.30$29.69 at September 30, 2016.2022. The 11.8% 4.3% increase over in book value per share for the trailing twelve months2023 third quarter reflected strong investment and underwriting results, albeit impacted by the 2017 third quarter catastrophic event activity.results.
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 the average of beginning and ending common shareholders’ equity available to Arch during the period. After-tax operating income available to Arch common shareholders, a non-GAAP financial measure as defined in Regulation G, 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 investment funds accounted for using the equity method, net foreign exchange gains or losses, UGC transaction costs and other, loss on repurchaseredemption of preferred shares and income taxes. Management uses Operating ROAE as a key measure of the
ARCH CAPITAL 392023 THIRD QUARTER FORM 10-Q

return generated to common shareholders. See “Comment“Comment on Non-GAAP Financial Measures.”
Our Operating ROAEannualized net income return on average common equity was (5.3)%20.2% for the 20172023 third quarter, compared to 9.3%0.2% for the 20162022 third quarter, and 4.4%20.9% for the nine months ended September 30, 2017,2023, compared to 9.4%6.6% for

ACGL 2017 THIRD QUARTER FORM 10-Q51


the 20162022 period. Our Operating ROAE was 24.8% for the 2023 third quarter, compared to 3.8% for the 2022 third quarter, and 22.7% for the nine months ended September 30, 2023, compared to 11.6% for the 2022 period. The 20172023 periods reflected strong underwriting and investment results, while the 2022 periods reflected lower underwriting returns, reflect the highdue in part to a higher level of catastrophic loss activity in the 2017 third quarter, partially offset by strong mortgage insurance underwriting performance and favorable investment returns.activity.
Total Return on Investments
Total return on investments includes investment income, equity in net income or loss of investment funds accounted for using the equity method, net realized gains and losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains and 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. The following table summarizes our total return compared to the benchmark return against which we measured our portfolio during the periods. See “Comment“Comment on Non-GAAP Financial Measures.”
Arch
Portfolio
Benchmark
Return
Pre-tax total return (before investment expenses):
2023 Third Quarter(0.40)%(0.36)%
2022 Third Quarter(3.01)%(4.01)%
Nine Months Ended September 30, 20232.68 %2.97 %
Nine Months Ended September 30, 2022(8.83)%(12.78)%
 
Arch
Portfolio
 
Benchmark
Return
2017 Third Quarter1.60% 1.24%
2016 Third Quarter0.88% 0.83%
    
Nine Months Ended September 30, 20175.05% 4.33%
Nine Months Ended September 30, 20164.03% 4.43%
Excluding the effects of foreign exchange, total return was 1.26% for the 2017 third quarter and 4.24% for the nine months ended September 30, 2017, reflecting strong returns on equity and alternative strategies. Total return for the 20172023 third quarter reflectedwas negative as our fixed income portfolio was impacted by the weakeningincrease in interest rates. We continue to maintain a relatively short duration on our portfolio of the U.S. Dollar against the Euro, British Pound Sterling and other major currencies on non-U.S. Dollar denominated investments.
The benchmark return index included weightings to the following indices, which are primarily from The Bank of America Merrill Lynch (“BoAML”):
%
BoAML 1-10 Year U.S. Corporate & All Yankees, A - AAA Rated Index20.00%
BoAML 1-10 Year U.S. Municipal Securities Index17.00
BoAML 1-5 Year U.S. Treasury Index13.00
BoAML 3-5 Year Fixed Rate Asset Backed Securities Index7.00
BoAML 5-10 Year U.S. Treasury Index5.00
Barclays CMBS Inv. Grade, AAA Rated Index5.00
MSCI All Country World Gross Total Return Index5.00
BoAML German Government Index4.50
BoAML U.S. Mortgage Backed Securities Index4.00
BoAML 1-5 Year U.K. Gilt Index3.00
Hedge Fund Research HFRX Fixed Income Credit Index2.50
Hedge Fund Research HFRX Equal Weighted Strategies2.50
BoAML U.S. High Yield Constrained Index2.50
BoAML 1-5 Year Australian Governments Index2.50
S&P Leveraged Loan Index2.50
BoAML 0-3 Month U.S. Treasury Bill Index2.00
BoAML 1-5 Year Canada Government Index1.50
BoAML 20+ Year Canada Government Index0.50
Total100.00%
2.97 years at September 30, 2023.
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 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 September 30, 2017,2023, the benchmark return index had an average credit quality of “Aa2”“A1” by Moody’s Investors Service (“Moody’s”), and an estimated duration of 3.552.72 years.

The benchmark return index included weightings to the following indices:
ACGL 2017 THIRD QUARTER FORM 10-Q%
ICE BofA 1-10 Year U.S. Corporate Index5228.50 
Yield on 3-5 Year U.S. Treasury Index plus 6%16.50 
ICE BofA 1-10 Year U.S. Treasury Index15.75 
ICE BofA U.S. High Yield Constrained Index8.00 
ICE BofA 1-5 Year U.K. Gilt Index5.50 
JPM CLOIE Investment Grade4.50 
ICE BofA German Government 1-10 Year Index4.00 
S&P 500 Total Return Index4.00 
ICE BofA 0-3 Month U.S. Treasury Index3.00 
ICE BofA U.S. ABS & CMBS Index3.00 
ICE BofA 1-5 Year Canada Government Index2.50 
ICE BofA 1-5 Year Australia Government Index2.50 
ICE BofA U.S. Mortgage Backed Securities Index1.50 
ICE BofA 15+ Year Canada Government Index0.50 
ICE BofA 1-5 Year Japan Government Index0.25 
Total100.00 %


COMMENT ON NON-GAAP FINANCIAL MEASURES

Throughout this filing, we present our operations in the way that 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 investment funds accounted for using the equity method, net foreign exchange gains or losses, UGC 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 shareholders and annualized net income return on average common equity (the most directly comparable
ARCH CAPITAL 402023 THIRD QUARTER FORM 10-Q

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 investment funds accounted for using the equity method, net foreign exchange gains or losses, UGC transaction costs and other and loss on repurchase 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 investment funds 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 investment funds 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 our 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 that we account for our other fixed maturity securitiesinvestments and the timing of the recognition of equity in net income or loss of investment funds accounted for using the equity method may differ from gains or losses in the future upon sale or maturity of such investments. UGC transaction
Transaction costs and other include advisory, financing, legal, severance, incentive compensation and other transaction costs related to the UGC acquisition. The Company believesacquisitions. We believe that UGC transaction costs and other, due to their non-recurring nature, are not indicative of the performance of, or trends in, the Company’sour business performance. The loss on redemption of preferred shares related to the redemption of our Series C preferred shares in September 2017 and had no impact on shareholders' equity or cash flows.
Due to these reasons, we exclude net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses UGCand 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 the 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 which 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.loss. 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 5,note 4, “Segment Information,” of the notes accompanying our consolidated financial statements, they are considered non-GAAP financial measures when presented elsewhere on a consolidated basis. The

ACGL 2017 THIRD QUARTER FORM 10-Q53


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 5,note 4, “Segment Information” of the notes accompanying our consolidated financial statements.

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 intangibles and, accordingly, investment income 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. Pursuant to generally accepted accounting principles, Watford Re is considered a variable interest entity and we concluded that we are the primary beneficiary of Watford Re. As such, we consolidate the results of Watford Re in our consolidated financial statements, although we only own approximately 11% of Watford Re’s common equity. Watford Re has its own management and board of directors that is responsible for its overall profitability. In addition, we do not guarantee or provide credit support for Watford Re. Since Watford Re is an independent company, the assets of Watford Re can be used only to settle obligations of Watford Re and Watford Re is solely responsible for its own liabilities and commitments. Our financial exposure to Watford Re is limited to our investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from the reinsurance transactions. We believe that presenting certain 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

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 investment funds accounted for using the equity method, net realized gains and losses (excluding changes in the allowance for credit losses on non-investment related financial assets) and the change in unrealized gains and 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
ARCH CAPITAL 412023 THIRD QUARTER FORM 10-Q

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

The following table summarizes our consolidated financial data, including a reconciliation of net income or loss available to Arch common shareholders to after-tax operating income or loss available to Arch common shareholders. Each line itemSee “Comment on Non-GAAP Financial Measures.”
Three Months EndedNine Months Ended
September 30,September 30,
2023202220232022
Net income available to Arch common shareholders$713 $$2,079 $587 
Net realized (gains) losses (1)248 184 354 743 
Equity in net (income) loss of investment funds accounted for using the equity method(59)19 (176)(75)
Net foreign exchange
(gains) losses
(22)(91)(183)
Transaction costs and other— — 
Income tax expense (benefit) (2)(5)(13)(5)(38)
After-tax operating income available to Arch common shareholders$876 $106 $2,256 $1,034 
Beginning common shareholders’ equity$13,811 $11,588 $12,080 $12,716 
Ending common shareholders’ equity14,409 10,966 $14,409 $10,966 
Average common shareholders’ equity$14,110 $11,277 $13,245 $11,841 
Annualized net income return on average common equity %20.2 0.2 20.9 6.6 
Annualized operating return on average common equity %24.8 3.8 22.7 11.6 
(1) Net realized gains or losses include realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets.
(2) Income tax expense on net realized gains or losses, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses and transaction costs and other reflects the impact of our approximate 11% ownership of Watford Re’s common equity.
relative mix reported by jurisdiction and the varying tax rates in each jurisdiction.
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Net income (loss) available to Arch common shareholders$(52,760) $247,388
 $362,967
 $602,272
Net realized (gains) losses(64,344) (99,159) (111,930) (175,558)
Net impairment losses recognized in earnings1,878
 3,867
 5,415
 16,849
Equity in net (income) loss of investment funds accounted for using the equity method(31,090) (16,662) (111,884) (32,054)
Net foreign exchange (gains) losses27,811
 4,054
 85,619
 3,560
UGC transaction costs and other2,990
 7,142
 21,249
 7,142
Loss on redemption of preferred shares6,735
 
 6,735
 
Income tax expense (benefit) (1)1,647
 2,970
 1,580
 13,705
After-tax operating income (loss) available to Arch common shareholders$(107,133) $149,600
 $259,751
 $435,916
        
Beginning common shareholders’ equity$8,126,332
 $6,340,583
 $7,481,163
 $5,841,542
Ending common shareholders’ equity8,138,589
 6,538,983
 8,138,589
 6,538,983
Average common shareholders’ equity$8,132,461
 $6,439,783
 $7,809,876
 $6,190,263
        
Annualized return on average common equity %(2.6) 15.4
 6.2
 13.0
Annualized operating return on average
common equity %
(5.3) 9.3
 4.4
 9.4
(1)Income tax on net realized gains or losses, net impairment losses recognized in earnings, equity in net income or loss of investment funds accounted for using the equity method, net foreign exchange gains or losses, UGC 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.

ACGL 2017 THIRD QUARTER FORM 10-Q54


Segment Information
We classify our businesses into three underwriting segments —segments: insurance, reinsurance and mortgage — and two other operating segments — corporate (non-underwriting) and ‘other.’mortgage. 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 Chairman andmakers. The Chief Executive Officer, the Chief Financial Officer and Treasurer and the President and Chief OperatingUnderwriting Officer andare the Chief Financial Officer of ACGL. TheCompany’s chief operating decision makersmakers. They 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.
ARCH CAPITAL 422023 THIRD QUARTER FORM 10-Q

Insurance Segment
The following tables set forth our insurance segment’s underwriting results:
 Three Months Ended September 30,
 2017 2016 % Change
Gross premiums written$787,447
 $758,934
 3.8
Premiums ceded(222,516) (217,446)  
Net premiums written564,931
 541,488
 4.3
Change in unearned premiums(29,766) (22,410)  
Net premiums earned535,165
 519,078
 3.1
Losses and loss adjustment expenses(568,795) (332,845)  
Acquisition expenses(82,638) (77,146)  
Other operating expenses(90,875) (86,613)  
Underwriting income (loss)$(207,143) $22,474
 (1,021.7)
      
Underwriting Ratios 
  
 % Point
Change
Loss ratio106.3% 64.1% 42.2
Acquisition expense ratio15.4% 14.9% 0.5
Other operating expense ratio17.0% 16.7% 0.3
Combined ratio138.7% 95.7% 43.0
 Three Months Ended September 30,
 20232022% Change
Gross premiums written$2,043 $1,862 9.7 
Premiums ceded(521)(493)
Net premiums written1,522 1,369 11.2 
Change in unearned premiums(110)(182)
Net premiums earned1,412 1,187 19.0 
Losses and loss adjustment expenses(812)(823)
Acquisition expenses(269)(233)
Other operating expenses(202)(165)
Underwriting income (loss)$129 $(34)479.4 
Underwriting Ratios  % Point
Change
Loss ratio57.5 %69.3 %(11.8)
Acquisition expense ratio19.1 %19.6 %(0.5)
Other operating expense ratio14.3 %13.9 %0.4 
Combined ratio90.9 %102.8 %(11.9)
Nine Months Ended September 30, Nine Months Ended September 30,
2017 2016 % Change 20232022% Change
Gross premiums written$2,313,630
 $2,319,530
 (0.3)Gross premiums written$5,977 $5,287 13.1 
Premiums ceded(704,057) (713,110)  Premiums ceded(1,564)(1,483)
Net premiums written1,609,573
 1,606,420
 0.2
Net premiums written4,413 3,804 16.0 
Change in unearned premiums(51,188) (46,603)  Change in unearned premiums(416)(488)
Net premiums earned1,558,385
 1,559,817
 (0.1)Net premiums earned3,997 3,316 20.5 
Losses and loss adjustment expenses(1,252,375) (1,011,087)  Losses and loss adjustment expenses(2,276)(2,054) 
Acquisition expenses(236,378) (228,806)  Acquisition expenses(778)(643) 
Other operating expenses(271,268) (263,111)  Other operating expenses(592)(493) 
Underwriting income (loss)$(201,636) $56,813
 (454.9)Underwriting income (loss)$351 $126 178.6 
     
Underwriting Ratios    % Point
Change
Underwriting Ratios  % Point
Change
Loss ratio80.4% 64.8% 15.6
Loss ratio57.0 %61.9 %(4.9)
Acquisition expense ratio15.2% 14.7% 0.5
Acquisition expense ratio19.5 %19.4 %0.1 
Other operating expense ratio17.4% 16.9% 0.5
Other operating expense ratio14.8 %14.9 %(0.1)
Combined ratio113.0% 96.4% 16.6
Combined ratio91.3 %96.2 %(4.9)
The insurance segment consists of our insurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
Construction and national accounts: primary and excess casualty coverages tofor middle market and large construction accounts, in the construction industry and a widecomprehensive range of products for middle market accounts in specialty industries and casualty solutions for large national accounts, specializing inincluding loss sensitive primary casualty insurance programs (including large(large deductible, self-insured retention and retrospectively rated programs).
Excess and surplus casualty: primary and excess casualty insurance coverages including middle market energy business, and contract binding, which primarily provides casualty coverage throughwritten on a network of appointed agents to small and medium risks.non-admitted basis.
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, 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 package policies, underwriting workers’ compensation and umbrella liability business in support of desirable package programs, targeting program

ACGL 2017 THIRD QUARTER FORM 10-Q55


managers with unique expertise and niche products offering some combination of general liability, commercial automobile, property, inland marine, umbrella and property business with minimal catastrophe exposure.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 stand alone terrorismpolitical 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 commercialtransactional surety coverages, including contract bonds (payment and performance bonds) primarily for medium and large contractors and commercial surety bonds for Fortune 1,000 companies and smaller transaction business programs.coverages.
ARCH CAPITAL 432023 THIRD QUARTER FORM 10-Q

Premiums Written.
The following table setstables set forth our insurance segment’s net premiums written by major line of business:
 Three Months Ended September 30,
 20232022
 Amount%Amount%
Professional lines$375 24.6 $412 30.1 
Property, energy, marine and aviation342 22.5 241 17.6 
Programs202 13.3 189 13.8 
Excess and surplus casualty130 8.5 111 8.1 
Construction and national accounts129 8.5 98 7.2 
Travel, accident and health126 8.3 107 7.8 
Warranty and lenders solutions51 3.4 42 3.1 
Other167 11.0 169 12.3 
Total$1,522 100.0 $1,369 100.0 
 Three Months Ended September 30,
 2017 2016
 Amount % Amount %
Professional lines$120,509
 21.3
 $119,198
 22.0
Programs109,805
 19.4
 91,165
 16.8
Construction and national accounts66,053
 11.7
 65,105
 12.0
Travel, accident and health71,386
 12.6
 63,453
 11.7
Excess and surplus casualty43,853
 7.8
 54,075
 10.0
Property, energy, marine and aviation48,396
 8.6
 42,092
 7.8
Lenders products25,732
 4.6
 28,633
 5.3
Other79,197
 14.0
 77,767
 14.4
Total$564,931
 100.0
 $541,488
 100.0
20172023 Third Quarter versus 2016 Third Quarter. 2022 Period. Gross premiums written by the insurance segment in the 20172023 third quarter were 3.8%9.7% higher than in the 20162022 third quarter, while net premiums written were 4.3% higher than in the 2016 third quarter. The increase11.2% higher. Growth in net premiums written reflected growthincreases in programmost lines of business, due in part to new business opportunities, increases in existing accounts and rate changes. In addition, the continued effectsinsurance segment retained a higher portion of two newer programs, andbusiness written in travel business. Such amounts were partially offset by a decreasethe 2023 third quarter than in excess and surplus casualty business which reflected a lower level of project-related premiums, primarily due to the fact that the 2016 period included a
2022 third quarter.
 Nine Months Ended September 30,
 20232022
 Amount%Amount%
Professional lines$1,045 23.7 $1,109 29.2 
Property, energy, marine and aviation937 21.2 688 18.1 
Programs553 12.5 481 12.6 
Excess and surplus casualty396 9.0 332 8.7 
Construction and national accounts446 10.1 335 8.8 
Travel, accident and health432 9.8 378 9.9 
Warranty and lenders solutions182 4.1 103 2.7 
Other422 9.6 378 9.9 
Total$4,413 100.0 $3,804 100.0 
significant amount of premium from one large construction project, along with a targeted reduction in certain exposures.
 Nine Months Ended September 30,
 2017 2016
 Amount % Amount %
Professional lines$339,761
 21.1
 $336,184
 20.9
Programs303,190
 18.8
 256,369
 16.0
Construction and national accounts239,504
 14.9
 254,839
 15.9
Travel, accident and health189,604
 11.8
 175,172
 10.9
Excess and surplus casualty134,907
 8.4
 168,144
 10.5
Property, energy, marine and aviation134,531
 8.4
 142,261
 8.9
Lenders products71,896
 4.5
 78,671
 4.9
Other196,180
 12.2
 194,780
 12.1
Total$1,609,573
 100.0
 $1,606,420
 100.0
Nine Months Ended September 30, 20172023 versus 20162022 period. Gross premiums written by the insurance segment for the nine months ended September 30, 20172023 were 0.3% lower13.1% higher than in the 20162022 period, while net premiums written were 0.2%16.0% higher than in the 20162022 period. The changeincrease in net premiums written largely reflected our response to weaker market conditions, with reductions in excess and surplus casualty, construction and property lines, partially offset by growth in programs and travel, accident and health. The lower levelmost lines of excess and surplus casualty reflected a targeted reduction in certain exposures, increased use of reinsurance and other factors while the decrease in construction premiums reflected non-renewals as well as lower audit and project premiums. The reduction in property lines reflected continued weak market conditions. Growth in program business, primarily reflected the continued impact of two newer programs while the increase in travel, accidentdue to rate increases, new business opportunities and health reflected continued expansiongrowth in existing travel accounts.

In addition, the insurance segment retained more business in the 2023 period than in the 2022 period.

ACGL 2017 THIRD QUARTER FORM 10-Q56


Net Premiums Earned.
The following tables set forth our insurance segment’s net premiums earned by major line of business:
 Three Months Ended September 30,
 20232022
 Amount%Amount%
Professional lines$363 25.7 $342 28.8 
Property, energy, marine and aviation288 20.4 202 17.0 
Programs167 11.8 150 12.6 
Excess and surplus casualty126 8.9 100 8.4 
Construction and national accounts147 10.4 110 9.3 
Travel, accident and health148 10.5 133 11.2 
Warranty and lenders solutions43 3.0 33 2.8 
Other130 9.2 117 9.9 
Total$1,412 100.0 $1,187 100.0 
 Three Months Ended September 30,
 2017 2016
 Amount % Amount %
Professional lines$113,146
 21.1
 $110,614
 21.3
Programs94,353
 17.6
 84,889
 16.4
Construction and national accounts77,779
 14.5
 80,090
 15.4
Travel, accident and health66,136
 12.4
 57,097
 11.0
Excess and surplus casualty47,852
 8.9
 54,687
 10.5
Property, energy, marine and aviation46,906
 8.8
 45,304
 8.7
Lenders products23,499
 4.4
 25,090
 4.8
Other65,494
 12.2
 61,307
 11.8
Total$535,165
 100.0
 $519,078
 100.0
Nine Months Ended September 30, Nine Months Ended September 30,
2017 2016 20232022
Amount % Amount % Amount%Amount%
Professional lines$330,159
 21.2
 $324,114
 20.8
Professional lines$1,067 26.7 $946 28.5 
Property, energy, marine and aviationProperty, energy, marine and aviation752 18.8 557 16.8 
Programs267,115
 17.1
 273,985
 17.6
Programs473 11.8 439 13.2 
Excess and surplus casualtyExcess and surplus casualty353 8.8 289 8.7 
Construction and national accounts236,050
 15.1
 241,547
 15.5
Construction and national accounts406 10.2 306 9.2 
Travel, accident and health188,053
 12.1
 164,463
 10.5
Travel, accident and health423 10.6 368 11.1 
Excess and surplus casualty147,709
 9.5
 166,807
 10.7
Property, energy, marine and aviation126,407
 8.1
 141,417
 9.1
Lenders products72,160
 4.6
 72,499
 4.6
Warranty and lenders solutionsWarranty and lenders solutions142 3.6 92 2.8 
Other190,732
 12.2
 174,985
 11.2
Other381 9.5 319 9.6 
Total$1,558,385
 100.0
 $1,559,817
 100.0
Total$3,997 100.0 $3,316 100.0 
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 reflect changes in net premiums written over the previous five quarters. NetFor the 2023 third quarter, net premiums earned in the 2017 third quarter were 3.1%19.0% higher than in the 20162022 third quarter, and 0.1% lowerquarter. Net premiums earned for the nine months ended September 30, 20172023 were 20.5% higher than in the 20162022 period.

ARCH CAPITAL 442023 THIRD QUARTER FORM 10-Q

Losses and Loss Adjustment Expenses.
The table below shows the components of the insurance segment’s loss ratio:
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Current year106.9 % 66.7 % 80.9 % 66.4 %
Prior period reserve development(0.6)% (2.6)% (0.5)% (1.6)%
Loss ratio106.3 % 64.1 % 80.4 % 64.8 %
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Current year58.2 %69.8 %57.8 %62.5 %
Prior period reserve development(0.7)%(0.5)%(0.8)%(0.6)%
Loss ratio57.5 %69.3 %57.0 %61.9 %
Current Year Loss Ratio.
2023 Third Quarter versus 2022 Period. The insurance segment’s current year loss ratio in the 20172023 third quarter was 40.211.6 points higherlower than in the 20162022 third quarter. The 2023 third quarter andloss ratio reflected 40.12.6 points of current year catastrophic activity, spread across a series of global events, compared to 13.4 points of catastrophic activity for the 2022 third quarter, primarily related to Hurricanes Harvey, Irma and Maria, compared to 0.3 pointsHurricane Ian. The balance of the change in the 2016 third quarter. current year loss ratio resulted, in part, from changes in mix of business.
Nine Months Ended September 30, 2023 versus 2022 Period. The insurance segment’s current year loss ratio for the nine months ended September 30, 20172023 was 14.54.7 points higherlower than in the 20162022 period and reflected 14.52.3 points of current year catastrophic activity, spread across series of global events, compared to 1.56.1 points in the 20162022 period. The balance of the change in the current year loss ratios for the 2017 periods reflectedratio resulted, in part, from changes in the mix of business and loss cost trends.business.
Prior Period Reserve Development.
The insurance segment’s net favorable development was $3.0$10 million, or 0.60.7 points, for the 20172023 third quarter, compared to $13.7$5 million, or 2.60.5 points, for the 20162022 third quarter, and $7.2$34 million, or 0.50.8 points, for the nine months ended September 30, 2017,2023, compared to $24.8$19 million, or 1.60.6 points, for the 20162022 period. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” of the notes accompanying to our consolidated financial statements for information about the insurance segment’s prior year reserve development.
Underwriting Expenses.
20172023 Third Quarter versus 2016 Third Quarter:2022 Period. The insurance segment’s underwriting expense ratio was 32.4%33.4% in the 20172023 third quarter, compared to 31.6%33.5% in the 20162022 third quarter. The comparison of the underwriting expense ratios reflects changes in the level of reinsurance ceded on a quota share basis and changes in the mix of business.
Nine Months Ended September 30, 20172023 versus 2016 period:2022 period. The insurance segment’s underwriting expense ratio was 32.6%34.3% for the nine months ended September 30, 2017, compared to 31.6%2023, consistent with 34.3% for the 20162022 period. The comparison of the underwriting expense ratios reflects changes in the level of reinsurance ceded on a quota share basis and changes in the mix of business.

ACGL 2017 THIRD QUARTER FORM 10-Q57


Reinsurance Segment
The following tables set forth our reinsurance segment’s underwriting results:
 Three Months Ended September 30,
 20232022
Change
Gross premiums written$2,138 $1,639 30.4 
Premiums ceded(576)(560)
Net premiums written1,562 1,079 44.8 
Change in unearned premiums(19)(77)
Net premiums earned1,543 1,002 54.0 
Other underwriting income (loss)—  
Losses and loss adjustment expenses(870)(928) 
Acquisition expenses(304)(208) 
Other operating expenses(61)(63) 
Underwriting income (loss)$310 $(197)257.4 
Underwriting Ratios% Point
Change
Loss ratio56.4 %92.6 %(36.2)
Acquisition expense ratio19.7 %20.8 %(1.1)
Other operating expense ratio3.9 %6.3 %(2.4)
Combined ratio80.0 %119.7 %(39.7)
 Three Months Ended September 30,
 2017 2016 % Change
Gross premiums written$422,083
 $324,361
 30.1
Premiums ceded(105,389) (89,551)  
Net premiums written316,694
 234,810
 34.9
Change in unearned premiums6,879
 17,117
  
Net premiums earned323,573
 251,927
 28.4
Other underwriting income1,728
 2,216
  
Losses and loss adjustment expenses(318,609) (105,924)  
Acquisition expenses(57,340) (50,192)  
Other operating expenses(36,214) (35,389)  
Underwriting income (loss)$(86,862) $62,638
 (238.7)
      
Underwriting Ratios    % Point
Change
Loss ratio98.5% 42.0% 56.5
Acquisition expense ratio17.7% 19.9% (2.2)
Other operating expense ratio11.2% 14.0% (2.8)
Combined ratio127.4% 75.9% 51.5
Nine Months Ended September 30, Nine Months Ended September 30,
2017 2016 % Change 20232022% Change
Gross premiums written$1,351,051
 $1,217,804
 10.9
Gross premiums written$7,142 $5,151 38.7 
Premiums ceded(386,743) (370,068)  Premiums ceded(2,145)(1,770)
Net premiums written964,308
 847,736
 13.8
Net premiums written4,997 3,381 47.8 
Change in unearned premiums(81,182) (43,345)  Change in unearned premiums(781)(647)
Net premiums earned883,126
 804,391
 9.8
Net premiums earned4,216 2,734 54.2 
Other underwriting income1,143
 22,659
  
Other underwriting income 
Losses and loss adjustment expenses(631,669) (363,613)  
Losses and loss adjustment expenses(2,379)(1,920) 
Acquisition expenses(154,638) (160,706)  
Acquisition expenses(875)(569) 
Other operating expenses(110,458) (108,561)  
Other operating expenses(203)(199) 
Underwriting income (loss)$(12,496) $194,170
 (106.4)Underwriting income (loss)$768 $52 1,376.9 
     
Underwriting Ratios    % Point
Change
Underwriting Ratios% Point
Change
Loss ratio71.5% 45.2% 26.3
Loss ratio56.4 %70.2 %(13.8)
Acquisition expense ratio17.5% 20.0% (2.5)Acquisition expense ratio20.7 %20.8 %(0.1)
Other operating expense ratio12.5% 13.5% (1.0)Other operating expense ratio4.8 %7.3 %(2.5)
Combined ratio101.5% 78.7% 22.8
Combined ratio81.9 %98.3 %(16.4)
The reinsurance segment consists of our reinsurance underwriting units which offer specialty product lines on a worldwide basis. Product lines include:
Casualty: providesReinsurance 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 and workers’ compensation exposures from ceding company clients, primarily on a treaty basis. Exposures include,including, among others, executive assurance, professional liability, workers’ compensation, excess and umbrella liability, excess motor and healthcare business.business, and workers’ compensation. Business is assumed primarily on a treaty basis, with some facultative coverages also offered.
ARCH CAPITAL 452023 THIRD QUARTER FORM 10-Q

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 reinsurance, whole account multi-line treaties, cyber, trade credit and other lines including surety, accident and health, workers’ compensation catastrophe, agriculture trade credit and political risk.risk, among others.
Property catastrophe: provides protection for most types of 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 excessExcess of loss basiscoverages are triggered when aggregate losses and loss adjustment expense from a single occurrence or aggregation of losses from a covered peril exceed the retention specified in the contract.
Property excluding property catastrophe: provides coverage for both personal lines andand/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 botheither a proportional and excess of losstreaty basis or facultative basis. In addition, facultative business is written which focuses on commercial property risks on an excess of loss basis.
Other. 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 management solutions that complement traditional reinsurance.

ACGL 2017 THIRD QUARTER FORM 10-Q58


Premiums Written.
The following table setstables set forth our reinsurance segment’s net premiums written by major line of business:
 Three Months Ended September 30,
 20232022
 Amount%Amount%
Property excluding property catastrophe$593 38.0 $342 31.7 
Other specialty527 33.7 381 35.3 
Casualty273 17.5 230 21.3 
Property catastrophe76 4.9 78 7.2 
Marine and aviation54 3.5 29 2.7 
Other39 2.5 19 1.8 
Total$1,562 100.0 $1,079 100.0 
 Three Months Ended September 30,
 2017 2016
 Amount % Amount %
Other specialty$101,400
 32.0
 $74,169
 31.6
Casualty113,446
 35.8
 59,242
 25.2
Property excluding property catastrophe63,943
 20.2
 70,733
 30.1
Property catastrophe28,123
 8.9
 19,793
 8.4
Marine and aviation2,037
 0.6
 5,435
 2.3
Other7,745
 2.4
 5,438
 2.3
Total$316,694
 100.0
 $234,810
 100.0
        
Pro rata$206,948
 65.3
 $147,280
 62.7
Excess of loss109,746
 34.7
 87,530
 37.3
Total$316,694
 100.0
 $234,810
 100.0
20172023 Third Quarter versus 2016 Third Quarter. 2022 Period. Gross premiums written by the reinsurance segment in the 20172023 third quarter were 30.1%30.4% higher than in the 20162022 third quarter, while net premiums written were 34.9% higher than in the 2016 third quarter. Gross and net premiums written for the 2017 third quarter reflected an increase of $45.4 million in casualty business related to a retroactive reinsurance contract which was substantially earned in the period and resulted in a corresponding increase to losses and loss adjustment expenses. In addition, reinstatement premiums related to Hurricanes Harvey, Irma and Maria contributed $25.0 million to gross premiums written and $15.8 million to net premiums written in the 2017 third quarter. The increase44.8% higher. Growth in net premiums written primarily reflected increases in property excluding property catastrophe and other specialty lines, due in part to rate increases, new business opportunities and growth in existing accounts. In addition, the reinsurance
segment retained a higher portion of business written in the 20172023 third quarter also reflected growththan in other specialty business, primarily in international motor quota share contracts.the 2022 third quarter.
 Nine Months Ended September 30,
 20232022
 Amount%Amount%
Property excluding property catastrophe$1,496 29.9 $936 27.7 
Other specialty1,625 32.5 1,180 34.9 
Casualty787 15.7 709 21.0 
Property catastrophe802 16.0 361 10.7 
Marine and aviation208 4.2 116 3.4 
Other79 1.6 79 2.3 
Total$4,997 100.0 $3,381 100.0 
 Nine Months Ended September 30,
 2017 2016
 Amount % Amount %
Other specialty$371,146
 38.5
 $288,932
 34.1
Casualty287,120
 29.8
 247,280
 29.2
Property excluding property catastrophe208,445
 21.6
 214,287
 25.3
Property catastrophe57,773
 6.0
 59,269
 7.0
Marine and aviation20,510
 2.1
 24,438
 2.9
Other19,314
 2.0
 13,530
 1.6
Total$964,308
 100.0
 $847,736
 100.0
        
Pro rata$536,857
 55.7
 $405,720
 47.9
Excess of loss427,451
 44.3
 442,016
 52.1
Total$964,308
 100.0
 $847,736
 100.0
Nine Months Ended September 30, 20172023 versus 20162022 period. Gross premiums written by the reinsurance segment for the nine months ended September 30, 20172023 were 10.9%38.7% higher than in the 20162022 period, while net premiums written were 13.8%47.8% higher than in the 20162022 period. Gross and net premiums written for the
nine months ended September 30, 2017 reflected the casualty retroactive reinsurance contract from the 2017 third quarter noted above and reinstatement premiums from Hurricanes Harvey, Irma and Maria. Gross and net premiums written in both periods also reflected an increase in other specialty business related to certain other retroactive reinsurance contracts written in the second quarter of each period. In addition to the retroactive reinsurance contracts noted above, theThe increase in net premiums written in the nine months ended September 30, 2017 reflected growth in other specialtymost lines of business, primarily due to new business, rate increases and growth in international motor quota share contracts.existing accounts. In addition, the reinsurance segment retained a higher portion of business written in the 2023 period than in the 2022 period.
Net Premiums Earned.
The following tables set forth our reinsurance segment’s net premiums earned by major line of business:
 Three Months Ended September 30,
 20232022
 Amount%Amount%
Property excluding property catastrophe$449 29.1 $282 28.1 
Other specialty505 32.7 330 32.9 
Casualty264 17.1 222 22.2 
Property catastrophe219 14.2 118 11.8 
Marine and aviation66 4.3 25 2.5 
Other40 2.6 25 2.5 
Total$1,543 100.0 $1,002 100.0 
 Three Months Ended September 30,
 2017 2016
 Amount % Amount %
Other specialty$96,090
 29.7
 $76,686
 30.4
Casualty117,255
 36.2
 69,414
 27.6
Property excluding property catastrophe65,049
 20.1
 72,550
 28.8
Property catastrophe30,039
 9.3
 17,582
 7.0
Marine and aviation6,801
 2.1
 10,336
 4.1
Other8,339
 2.6
 5,359
 2.1
Total$323,573
 100.0
 $251,927
 100.0
        
Pro rata$188,874
 58.4
 $132,649
 52.7
Excess of loss134,699
 41.6
 119,278
 47.3
Total$323,573
 100.0
 $251,927
 100.0
 Nine Months Ended September 30,
 2017 2016
 Amount % Amount %
Other specialty$307,620
 34.8
 $260,428
 32.4
Casualty270,126
 30.6
 225,624
 28.0
Property excluding property catastrophe197,785
 22.4
 209,990
 26.1
Property catastrophe61,975
 7.0
 55,358
 6.9
Marine and aviation26,277
 3.0
 40,773
 5.1
Other19,343
 2.2
 12,218
 1.5
Total$883,126
 100.0
 $804,391
 100.0
        
Pro rata$503,954
 57.1
 $426,275
 53.0
Excess of loss379,172
 42.9
 378,116
 47.0
Total$883,126
 100.0
 $804,391
 100.0
ARCH CAPITAL 462023 THIRD QUARTER FORM 10-Q

 Nine Months Ended September 30,
 20232022
 Amount%Amount%
Property excluding property catastrophe$1,161 27.5 $780 28.5 
Other specialty1,499 35.6 846 30.9 
Casualty775 18.4 635 23.2 
Property catastrophe527 12.5 290 10.6 
Marine and aviation173 4.1 109 4.0 
Other81 1.9 74 2.7 
Total$4,216 100.0 $2,734 100.0 
Net 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. ForNet premiums earned by the 2017reinsurance segment in the 2023 third quarter net premiums earned were 28.4%54.0% higher than in the 20162022 third quarter, and reflect the retroactive reinsurance contract and reinstatement premium impacts discussed above as well aschanges in net premiums written over the previous five quarters. Net premiums earned for the nine months ended September 30, 20172023 were 9.8%54.2% higher than in the 20162022 period.

ACGL 2017 THIRD QUARTER FORM 10-Q59


Other Underwriting Income (Loss).
Other underwriting income (loss) for the 20172023 third quarter was $2 million, compared to nil for the 2022 third quarter, and nine months ended September 30, 2017 was $1.7 million, compared to $2.2 million for the 2016 third quarter, and $1.1$9 million for the nine months ended September 30, 2017,2023, compared to $22.7$6 million for the 20162022 period. The 2016 year-to-date period included $19.1 million related to a contract which was commuted during the 2016 second quarter. This contract had been reflected as a deposit accounting liability (i.e., a contract that, in accordance with GAAP, does not pass risk transfer) prior to the commutation.
Losses and Loss Adjustment Expenses.
The table below shows the components of the reinsurance segment’s loss ratio:
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Current year59.2 %97.5 %59.4 %74.9 %
Prior period reserve development(2.8)%(4.9)%(3.0)%(4.7)%
Loss ratio56.4 %92.6 %56.4 %70.2 %
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Current year109.8 % 65.6 % 86.6 % 67.2 %
Prior period reserve development(11.3)% (23.6)% (15.1)% (22.0)%
Loss ratio98.5 % 42.0 % 71.5 % 45.2 %
Current Year Loss Ratio.
2023 Third Quarter versus 2022 Period. The reinsurance segment’s current year loss ratio in the 20172023 third quarter was 44.238.3 points higherlower than in the 20162022 third quarter. The 2023 third quarter andloss ratio reflected 46.39.7 points of current year catastrophic activity spread across a series of global events. The 2022 third quarter included 42.8 points of current year catastrophic activity, primarily related to Hurricanes Harvey, IrmaHurricane Ian and Maria, compared to 4.1 pointsother global events. The improvement in the 2016 third quarter. current year loss ratio reflected the impact of rate increases and changes in mix of business, while the 2022 period reflected a higher level of catastrophic activity.
Nine Months Ended September 30, 2023 versus 2022 Period. The reinsurance segment’s current year loss ratio for the nine months ended September 30, 20172023 was 19.415.5 points higherlower than in the 20162022 period and reflected 20.07.4 points of current year catastrophic activity, compared to 3.920.1 points in the 2016
2022 period. The balance of the changeimprovement in the 2017 current year loss ratios resulted, in part, fromratio reflected the effectsimpact of market conditionsrate increases and changes in the mix of business.business, while the 2022 period reflected a higher level of catastrophic activity.
Prior Period Reserve Development.
The reinsurance segment’s net favorable development was $36.5$44 million, or 11.32.8 points, for the 20172023 third quarter, compared to $59.5$49 million, or 23.64.9 points, for the 20162022 third quarter, and $133.3$126 million, or 15.13.0 points, for the nine months ended September 30, 2017,2023, compared to $176.7$127 million, or 22.04.7 points, for the 20162022 period. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” of the notes accompanying to our consolidated financial statements for information about the reinsurance segment’s prior year reserve development.
Underwriting Expenses.
20172023 Third Quarter versus 2016 Third Quarter:2022 Period. The underwriting expense ratio for the reinsurance segment was 28.9%23.6% in the 20172023 third quarter, compared to 33.9%27.1% in the 2016
third quarter. The retroactive reinsurance contract noted above improved the reported 20172022 third quarter, underwriting expensewith the decrease primarily due to growth in net premiums earned. The 2022 third quarter ratio by 4.1 points. The comparison of the underwriting expense ratios also reflected changes in the mix and type of business and a higherlower level of net premiums earned in the 2017 third quarter.contingent commissions on ceded business, primarily due to Hurricane Ian.
Nine Months Ended September 30, 20172023 versus 2016 period:2022 period. The underwriting expense ratio for the reinsurance segment was 30.0%25.5% for the nine months ended September 30, 2017,2023, compared to 33.5%28.1% for the 2016 period.2022 period, with the decrease primarily due to growth in net premiums earned. The comparison2022 period ratio also reflected a lower level of the underwriting expense ratioscontingent commissions on ceded business, primarily reflected changesdue to Hurricane Ian.
ARCH CAPITAL 472023 THIRD QUARTER FORM 10-Q

Mortgage Segment
Our mortgage operations include U.S. and international mortgage insurance and reinsurance operations as well as participation in the mix and type of business.
Mortgage SegmentGSE credit risk-sharing transactions.
The following tables set forth our mortgage segment’s underwriting results. On December 31, 2016, we completed the acquisition of UGC. As such, the 2017 results reflect the combination of Arch and UGC while the 2016 periods do not reflect UGC activity.results:
 Three Months Ended September 30,
 20232022% Change
Gross premiums written$347 $362 (4.1)
Premiums ceded(76)(86)
Net premiums written271 276 (1.8)
Change in unearned premiums22 
Net premiums earned293 282 3.9 
Other underwriting income
Losses and loss adjustment expenses35 68 
Acquisition expenses(2)(7)
Other operating expenses(47)(47)
Underwriting income$282 $299 (5.7)
Underwriting Ratios% Point
Change
Loss ratio(12.1)%(24.1)%12.0 
Acquisition expense ratio0.6 %2.4 %(1.8)
Other operating expense ratio16.2 %16.5 %(0.3)
Combined ratio4.7 %(5.2)%9.9 
 Nine Months Ended September 30,
 20232022% Change
Gross premiums written$1,037 $1,099 (5.6)
Premiums ceded(240)(241)
Net premiums written797 858 (7.1)
Change in unearned premiums86 10 
Net premiums earned883 868 1.7 
Other underwriting income12  
Losses and loss adjustment expenses46 187  
Acquisition expenses(16)(27) 
Other operating expenses(147)(150) 
Underwriting income$778 $884 (12.0)
Underwriting Ratios  % Point
Change
Loss ratio(5.3)%(21.6)%16.3 
Acquisition expense ratio1.8 %3.2 %(1.4)
Other operating expense ratio16.7 %17.3 %(0.6)
Combined ratio13.2 %(1.1)%14.3 
 Three Months Ended September 30,
 2017 2016 % Change
Gross premiums written$347,951
 $131,726
 164.1
Premiums ceded(57,900) (51,182)  
Net premiums written290,051
 80,544
 260.1
Change in unearned premiums(15,533) (3,582)  
Net premiums earned274,518
 76,962
 256.7
Other underwriting income3,599
 4,740
  
Losses and loss adjustment expenses(35,156) (11,107)  
Acquisition expenses(21,803) (5,190)  
Other operating expenses(34,770) (24,249)  
Underwriting income$186,388
 $41,156
 352.9
      
Underwriting Ratios 
  
 % Point
Change
Loss ratio12.8% 14.4% (1.6)
Acquisition expense ratio7.9% 6.7% 1.2
Other operating expense ratio12.7% 31.5% (18.8)
Combined ratio33.4% 52.6% (19.2)

ACGL 2017 THIRD QUARTER FORM 10-Q60


 Nine Months Ended September 30,
 2017 2016 % Change
Gross premiums written$1,032,800
 $361,440
 185.7
Premiums ceded(194,139) (62,918)  
Net premiums written838,661
 298,522
 180.9
Change in unearned premiums(61,776) (93,283)  
Net premiums earned776,885
 205,239
 278.5
Other underwriting income11,999
 12,670
  
Losses and loss adjustment expenses(84,915) (20,102)  
Acquisition expenses(76,235) (16,947)  
Other operating expenses(108,790) (70,590)  
Underwriting income$518,944
 $110,270
 370.6
      
Underwriting Ratios    % Point
Change
Loss ratio10.9% 9.8% 1.1
Acquisition expense ratio9.8% 8.3% 1.5
Other operating expense ratio14.0% 34.4% (20.4)
Combined ratio34.7% 52.5% (17.8)
The mortgage segment includes the results of our U.S. primary mortgage insurance operations, including Arch Mortgage Insurance Company and United Guaranty Residential Insurance Company (combined “Arch MI U.S.”), which are approved as eligible mortgage insurers by Federal National Mortgage Association (“Fannie Mae”) and Federal Home Loan Mortgage Corporation (“Freddie Mac”), each a GSE. Arch MI U.S. and Arch Mortgage Insurance Designated Activity Company are leading providers of mortgage insurance products and services to the U.S. and European markets, respectively. The mortgage segment also includes GSE credit risk-sharing transactions and mortgage reinsurance for the U.S. and Australian markets.
Premiums Written.
The following tables set forth our mortgage segment’s net premiums written by client location and underwriting location (i.e., where the business is underwritten):major line of business:
 Three Months Ended September 30,
 20232022
 Amount%Amount%
U.S. primary mortgage insurance$190 70.1 $185 67.0 
U.S. credit risk transfer (CRT) and other57 21.0 51 18.5 
International mortgage insurance/
reinsurance
24 8.9 40 14.5 
Total$271 100.0 $276 100.0 
 Three Months Ended September 30,
 2017 2016
 Amount % Amount %
Client location:       
United States$262,028
 90.3
 $77,488
 96.2
Other28,023
 9.7
 3,056
 3.8
Total$290,051
 100.0
 $80,544
 100.0
        
Underwriting location:       
United States$235,447
 81.2
 $50,236
 62.4
Other54,604
 18.8
 30,308
 37.6
Total$290,051
 100.0
 $80,544
 100.0
 Nine Months Ended September 30,
 2017 2016
 Amount % Amount %
Client location:       
United States756,620
 90.2
 199,552
 66.8
Other82,041
 9.8
 98,970
 33.2
Total$838,661
 100.0
 $298,522
 100.0
        
Underwriting location:       
United States$679,442
 81.0
 $128,008
 42.9
Other159,219
 19.0
 170,514
 57.1
Total$838,661
 100.0
 $298,522
 100.0
20172023 Third Quarter versus 2016 Third Quarter. 2022 Period. Gross premiums written by the mortgage segment in the 20172023 third quarter were 164.1% higher4.1% lower than in the 20162022 third quarter, while net premiums written were 1.8% lower. The reduction in net premiums written primarily reflectingreflected lower levels of mortgage originations in the Australian market than in the 2022 third quarter, partially offset by growth in credit risk transfer business and higher levels of retained premiums in U.S. primary mortgage insurance in force due to the acquisition of UGC. Premiums ceded for the 2017 third quarter were primarily related to the 50% quota share reinsurance agreement to AIG, covering 2014 to 2016 policy years of UGC business on a run-off basis, while the 2016 third quarter reflected the retrocession of $45.4 million of Australian mortgage reinsurance business.
 Nine Months Ended September 30,
 20232022
 Amount%Amount%
U.S. primary mortgage insurance$562 70.5 $582 67.8 
U.S. credit risk transfer (CRT) and other164 20.6 143 16.7 
International mortgage insurance/
reinsurance
71 8.9 133 15.5 
Total$797 100.0 $858 100.0 
Nine Months Ended September 30, 20172023 versus 2016 period2022 Period. Gross premiums written by the mortgage segment for the nine months ended September 30, 2023 were 185.7% higher5.6% lower than in the 20162022 period, while net premiums written for the nine months ended September 30, 2023 were 7.1% lower than in the 2022 period. The reduction in net premiums written primarily reflectingreflected lower levels of mortgage originations in the growthAustralian market and a decrease in U.S. primary mortgage insurance in force due to the acquisitionbusiness, which was partially offset by a higher volume of UGC.credit risk transfer transactions.
The persistency rate, which 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, ofwas 83.9% for the Arch MI U.S. portfolio of mortgage loans was 80.2%insurance policies at September 30, 2017, compared2023. This compares to 78.1% at June 30, 2017. The higher persistency rate75.4% at September 30, 20172022 and reflects changes ina lower level of mortgage refinancerefinancing activity and mortgage interest rates.
in the period.

ACGL 2017 THIRD QUARTER FORM 10-Q61


Arch MI U.S. generated $17.7 billion ofThe following tables provide details on the new insurance written (“NIW”) in the 2017 third quarter, compared to $8.8 billion in the 2016 third quarter.generated by Arch MI U.S. NIW represents the original principal balance of all loans that received coverage during the period. Our NIW for the 2017 third quarter reflected the combination of Arch and UGC, a higher percentage of monthly premium business and an increase in purchase market activity.
The following tables provide details on the NIW generated by Arch MI U.S.:
(U.S. Dollars in millions)Three Months Ended September 30,
2017 2016
 Amount % Amount %
Total new insurance written (NIW) (1)$17,683
   $8,753
  
        
Credit quality (FICO):       
>=740$10,063
 56.9
 $5,187
 59.3
680-7396,357
 35.9
 3,074
 35.1
620-6791,263
 7.1
 492
 5.6
  Total$17,683
 100.0
 $8,753
 100.0
        
Loan-to-value (LTV):       
95.01% and above$1,757
 9.9
 $507
 5.8
90.01% to 95.00%8,406
 47.5
 4,261
 48.7
85.01% to 90.00%5,668
 32.1
 2,883
 32.9
85.01% and below1,852
 10.5
 1,102
 12.6
  Total$17,683
 100.0
 $8,753
 100.0
        
Monthly vs. single:       
Monthly$15,392
 87.0
 $7,765
 88.7
Single2,291
 13.0
 988
 11.3
  Total$17,683
 100.0
 $8,753
 100.0
        
Purchase vs. refinance:       
Purchase$16,460
 93.1
 $7,264
 83.0
Refinance1,223
 6.9
 1,489
 17.0
  Total$17,683
 100.0
 $8,753
 100.0
(1)ARCH CAPITALRepresents the original principal balance of all loans that received coverage during the period. 482023 THIRD QUARTER FORM 10-Q


Table of Contents

Three Months Ended September 30,
(U.S. Dollars in millions)Nine Months Ended September 30,
2017 2016
20232022
Amount % Amount %Amount%Amount%
Total new insurance written (NIW) (1)$47,646
   $18,079
  Total new insurance written (NIW) (1)$11,494 $17,425 
       
Credit quality (FICO):       Credit quality (FICO):
>=740$27,061
 56.8
 $10,945
 60.5
>=740$7,646 66.5 $11,615 66.7 
680-73917,246
 36.2
 6,195
 34.3
680-7393,520 30.6 5,322 30.5 
620-6793,339
 7.0
 938
 5.2
620-679326 2.8 485 2.8 
<620
 
 1
 
<620— — 
Total$47,646
 100.0
 $18,079
 100.0
Total$11,494 100.0 $17,425 100.0 
       
Loan-to-value (LTV):       Loan-to-value (LTV):
95.01% and above$4,429
 9.3
 $1,233
 6.8
95.01% and above$880 7.7 $973 5.6 
90.01% to 95.00%22,763
 47.8
 8,477
 46.9
90.01% to 95.00%6,306 54.9 9,916 56.9 
85.01% to 90.00%15,191
 31.9
 5,982
 33.1
85.01% to 90.00%3,126 27.2 4,839 27.8 
85.01% and below5,263
 11.0
 2,387
 13.2
85.00% and below85.00% and below1,182 10.3 1,697 9.7 
Total$47,646
 100.0
 $18,079
 100.0
Total$11,494 100.0 $17,425 100.0 
       
Monthly vs. single:       Monthly vs. single:
Monthly$40,592
 85.2
 $15,136
 83.7
Monthly$10,712 93.2 $16,911 97.1 
Single7,054
 14.8
 2,943
 16.3
Single782 6.8 514 2.9 
Total$47,646
 100.0
 $18,079
 100.0
Total$11,494 100.0 $17,425 100.0 
       
Purchase vs. refinance:       Purchase vs. refinance:
Purchase$43,243
 90.8
 $14,628
 80.9
Purchase$11,334 98.6 $17,159 98.5 
Refinance4,403
 9.2
 3,451
 19.1
Refinance160 1.4 266 1.5 
Total$47,646
 100.0
 $18,079
 100.0
Total$11,494 100.0 $17,425 100.0 
(1)Represents the original principal balance of all loans that received coverage during the period.
(U.S. Dollars in millions)Nine Months Ended September 30,
20232022
Amount%Amount%
Total new insurance written (NIW) (1)$34,180 $60,939 
Credit quality (FICO):
>=740$22,469 65.7 $40,888 67.1 
680-73910,842 31.7 18,376 30.2 
620-679863 2.5 1,667 2.7 
<620— — 
Total$34,180 100.0 $60,939 100.0 
Loan-to-value (LTV):
95.01% and above$2,034 6.0 $3,264 5.4 
90.01% to 95.00%19,204 56.2 33,984 55.8 
85.01% to 90.00%9,414 27.5 17,163 28.2 
85.01% and below3,528 10.3 6,528 10.7 
Total$34,180 100.0 $60,939 100.0 
Monthly vs. single:
Monthly$32,688 95.6 $58,984 96.8 
Single1,492 4.4 1,955 3.2 
Total$34,180 100.0 $60,939 100.0 
Purchase vs. refinance:
Purchase$33,598 98.3 $59,375 97.4 
Refinance582 1.7 1,564 2.6 
Total$34,180 100.0 $60,939 100.0 
(1)Represents the original principal balance of all loans that received coverage during the period.
(1)Represents the original principal balance of all loans that received coverage during the period.
Net Premiums Earned.
The following tables set forth our mortgage segment’s net premiums earned by client location and underwriting location:major line of business:
 Three Months Ended September 30,
 20232022
 Amount%Amount%
U.S. primary mortgage insurance$192 65.5 $194 68.8 
U.S. credit risk transfer (CRT) and other58 19.8 51 18.1 
International mortgage insurance/
reinsurance
43 14.7 37 13.1 
Total$293 100.0 $282 100.0 
 Three Months Ended September 30,
 2017 2016
 Amount % Amount %
Client Location:       
United States$262,324
 95.6
 $64,616
 84.0
Other12,194
 4.4
 12,346
 16.0
Total$274,518
 100.0
 $76,962
 100.0
        
Underwriting location:       
United States$233,862
 85.2
 $40,498
 52.6
Other40,656
 14.8
 36,464
 47.4
Total$274,518
 100.0
 $76,962
 100.0
 Nine Months Ended September 30,
 2017 2016
 Amount % Amount %
Client Location:       
United States$745,011
 95.9
 $182,794
 89.1
Other31,874
 4.1
 22,445
 10.9
Total$776,885
 100.0
 $205,239
 100.0
        
Underwriting location:       
United States$661,645
 85.2
 $107,142
 52.2
Other115,240
 14.8
 98,097
 47.8
Total$776,885
 100.0
 $205,239
 100.0

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2023 Third Quarter versus 2022 Period. Net premiums earned for the 2017 periods2023 third quarter were 3.9% higher than in the 2016 periods,2022 third quarter, primarily due to the UGC acquisition and growth in credit risk transfer and international business, which was partially offset by a small decrease in U.S. primary mortgage insurance in force for Arch MIforce.
 Nine Months Ended September 30,
 20232022
 Amount%Amount%
U.S. primary mortgage insurance$582 65.9 $607 69.9 
U.S. credit risk transfer (CRT) and other165 18.7 143 16.5 
International mortgage insurance/
reinsurance
136 15.4 118 13.6 
Total$883 100.0 $868 100.0 
Nine Months Ended September 30, 2023 versus 2022 Period. For the nine months ended September 30, 2023, net premiums earned were 1.7% higher than in the 2022 period, primarily due to growth in credit risk transfer and international business, which was partially offset by a decrease in U.S. primary mortgage insurance in force.
Other Underwriting Income (Loss).
Other underwriting income, which is primarily related to older GSE credit risk-sharing transactions receiving derivative accounting treatment,and our whole mortgage loan purchase and sell program was $3.6$3 million for the 20172023 third quarter, compared to $4.7consistent with $3 million for the 20162022 third quarter, and $12.0 million for the nine months ended September 30, 2017, compared to $12.7 million for the 2016 period.quarter.
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Table of Contents
Losses and Loss Adjustment Expenses.
The table below shows the components of the mortgage segment’s loss ratio:
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Current year19.3 %20.6 %22.2 %18.3 %
Prior period reserve development(31.4)%(44.7)%(27.5)%(39.9)%
Loss ratio(12.1)%(24.1)%(5.3)%(21.6)%
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Current year20.6 % 17.6 % 20.5 % 17.7 %
Prior period reserve development(7.8)% (3.2)% (9.6)% (7.9)%
Loss ratio12.8 % 14.4 % 10.9 % 9.8 %
Current Year Loss Ratio.
2023 Third Quarter versus 2022 Period. The mortgage segment’s current year loss ratio was 3.01.3 points higherlower in the 20172023 third quarter than in the 20162022 third quarter. The current year loss ratio for the 2023 third quarter, and 2.8excluding net favorable development, was down slightly, reflecting lower estimated claim rates partially offset by slightly higher new delinquencies than in the comparable 2022 third quarter loss ratio.
Nine Months Ended September 30, 2023 versus 2022 Period. The mortgage segment’s current year loss ratio was 3.9 points higher for the nine months ended September 30, 20172023 than infor the 20162022 period. The higher current year loss ratio for the 2017 third quarter reflects the UGC acquisition and growth in insurance in force along with changes2023 period reflected higher level of new delinquencies than in the mix of business.2022 period.
Prior Period Reserve Development.
The mortgage segment’s net favorable development was $21.5$92 million, or 7.831.4 points, for the 20172023 third quarter, compared to $2.5$126 million, or 3.244.7 points, for the 20162022 third quarter, and $74.9$243 million, or 9.627.5 points, for the nine months ended September 30, 2017,2023, compared to $16.3$346 million, or 7.939.9 points, for the 20162022 period. See note 6,5, “Reserve for Losses and Loss Adjustment Expenses,” of the notes accompanying to our consolidated financial statements for information about the mortgage segment’s prior year reserve development.
Underwriting Expenses.
20172023 Third Quarter versus 2016 Third Quarter2022 Period. The underwriting expense ratio for the mortgage segment was 16.8% in the 2023 third quarter, compared to 18.9% in the 2022 third quarter. The decrease was primarily due to higher level of profit commissions on ceded U.S. primary and Australian mortgage insurance business.
Nine Months Ended September 30, 2023 versus 2022 period. The underwriting expense ratio for the mortgage segment was 20.6% in the 2017 third quarter, compared to 38.2% in the 2016 third quarter. The improvement primarily resulted from a higher level of net premiums earned reflecting the UGC acquisition as Arch MI U.S. has increased its scale of operations.
Nine Months Ended September 30, 2017 versus 2016 period. The underwriting expense ratio for the mortgage segment was
23.8%18.5% for the nine months ended September 30, 2017,2023, compared to 42.7%20.5% for the 20162022 period. The improvementdecrease was primarily resulted from adue to higher level of net premiums earned reflecting the UGC acquisition as Arch MIprofit commissions on ceded U.S. has increased its scale of operations.primary mortgage insurance business.
Corporate (Non-Underwriting) Segment
The corporate (non-underwriting) segment results include net investment income, net realized gains or losses (which includes realized and unrealized changes in the fair value of equity securities and assets accounted for using the fair value option, realized and unrealized gains and losses on derivative instruments and changes in the allowance for credit losses on financial assets), equity in net income or loss of investments accounted for using the equity method, other income (loss),or loss, corporate expenses, UGC 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 investment funds accounted for using the equity method, net foreign exchange gains or losses and income taxes. Such amounts exclude the results of the ‘other’ segment.shares.
Net Investment Income.
The components of net investment income were derived from the following sources:
Three Months EndedNine Months Ended
September 30,September 30,
 2023202220232022
Fixed maturities$243 $124 $645 $311 
Short-term investments19 48 16 
Equity securities15 16 
Other (1)22 60 29 
Gross investment income289 146 768 372 
Investment expenses (2)(20)(17)(58)(57)
Net investment income$269 $129 $710 315 
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Fixed maturities$84,602
 $58,542
 $251,039
 $181,908
Equity securities3,210
 3,633
 10,152
 11,373
Short-term investments2,514
 823
 5,624
 1,899
Other (1)18,238
 15,103
 57,770
 47,454
Gross investment income108,564
 78,101
 324,585
 242,634
Investment expenses (2)(14,437) (11,819) (42,126) (35,546)
Net investment income$94,127
 $66,282
 $282,459
 207,088
(1)    Amounts include dividends and other distributions on investment funds, term loan investments, funds held balances, cash balances and other items.
(1)Amounts include dividends and interest distributions on investment funds, term loan investments and other items.
(2)Investment expenses were approximately 0.32% of average invested assets for the 2017 third quarter, compared to 0.31% for the 2016 third quarter, and 0.30% for the nine months ended September 30, 2017, compared to 0.32% for the 2016 period.
Net(2)    Investment expenses were approximately 0.30% of average invested assets for the 2023 third quarter, compared to 0.29% for the 2022 third quarter, and 0.28% for the nine months ended September 30, 2023, compared to 0.30% for the 2022 period.
The higher level of net investment income for the 2017 periods reflected income on the acquired UGC portfolio and2023 third quarter was primarily related to higher returns on fund investments thanyields available in the 2016 periods.financial market. The pre-tax investment income yield, calculated based on amortized cost and on an annualized basis, was 2.00%3.68% for the 20172023 third quarter, compared to 1.81%2.06% for the 20162022 third quarter, and 2.04%3.41% for the nine months ended September 30, 2017,2023, compared to 1.95%1.72% for the 20162022 period. Net cash flow from operating activities contributed $4.1 billion for the nine months ended September 30, 2023, which has helped to grow our invested asset base by approximately 20% in the last twelve months and contributed to the growth in net investment income.

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Corporate Expenses.
Corporate expenses were $14.1$20 million for the 20172023 third quarter, compared to $11.3$18 million for the 20162022 third quarter, and $48.5$69 million for the nine months ended September 30, 2017,2023, compared to $37.9$78 million for the 20162022 period. The higher levelSuch amounts primarily represent certain holding company costs
ARCH CAPITAL 502023 THIRD QUARTER FORM 10-Q

Table of corporate expenses inContents
necessary to support our worldwide operations and costs associated with operating as a publicly traded company.
Other Income or Losses.
Other income or loss for the 2017 periods2023 third quarter was primarily duea loss of $4 million, compared to higher incentive compensation costs.
UGC Transaction Costs and Other.
UGC transaction costs and other were $3.0a loss of $14 million for the 20172022 third quarter, and $21.2income of $10 million for the nine months ended September 30, 2017. UGC transaction costs and other include advisory, financing, legal and other transaction costs related2023, compared to the UGC acquisition. Amountsa loss of $35 million for the 2017 third quarter2022 period. Amounts in both periods primarily related to severance and related costs, whilereflect changes in the total for the nine months ended September 30, 2017 reflected $13.2 millioncash surrender value of severance and related costs, with the remainder primarily due to incentive compensation paidour investment in conjunction with the UGC acquisition.corporate-owned life insurance.
Amortization of Intangible Assets.
Amortization of intangible assets for the 20172023 third quarter was $31.8$24 million, compared to $4.9$26 million for the 20162022 third quarter, and $93.9$71 million for the nine months ended September 30, 2017,2023, compared to $14.5$80 million for the 20162022 period. During the 2017 first quarter, we reclassified our income statement presentation ofAmounts in both periods primarily attributed to amortization of finite-lived intangible assets to reflect such item separately (previously reflected in acquisition and/or other operating expenses). The higher level of expense for the 2017 periods reflects the amortization of intangible assets included in the UGC acquisition, including intangible assets related to acquired insurance contracts and distribution relationships.assets.
Interest Expense.
Interest expense was $26.3$34 million for the 20172023 third quarter, compared to $12.9$33 million for the 20162022 third quarter, and $77.9$99 million for the nine months ended September 30, 2017, compared to $38.02023, consistent with $99 million for the 20162022 period. The increase in the 2017 periodsInterest expense primarily reflects the impact of the issuance of the Company’s 2026 and 2046 senior notes in December 2016 and the higher level of borrowings outstanding under our revolving credit agreement. The proceeds from the debt offering and additional borrowings under the revolving credit agreement were used to close the UGC acquisition on December 31, 2016.
Loss on Redemption of Preferred Shares.
In September 2017, we redeemed $230 million of 6.75% Series C preferred shares and, in accordance with GAAP, recorded a loss of $6.7 million to remove original issuance costsamounts related to the redeemed shares from additional paid-in capital. Such adjustment had no impact on total shareholders’ equity or cash flows.our outstanding senior notes.
Net Realized Gains or Losses.
We recorded netNet realized gains of $64.1 millionlosses for the 20172023 third quarter were $248 million, compared to net realized gainslosses of $95.9$184 million for the 20162022 third quarter, and netquarter. Net realized gains of $110.7losses were $354 million for the nine months ended September 30, 2017,2023, compared to net realized gainslosses of $168.7$743 million for the 20162022 period. Amounts in both periods reflected sales of investments as well as the impact of financial market movements on the Company’s equity securities and investments accounted for under the fair value option method. 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 and 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.
We recorded $1.9 million ofthe allowance for credit losses on financial assets and net impairment losses for the 2017 third quarter, compared to $3.9 million for the 2016 third quarter, and $5.4 million for the nine months ended September 30, 2017, compared to $16.8 million for the 2016 period.recognized in earnings. See note 7, “Investment Information—Other-Than-Temporary Impairments,Net Realized Gains (Losses) of the notes accompanying and note 7, “Investment Information—
Allowance for Expected Credit Losses,” to our consolidated financial statements for additional information.
Equity in Net Income (Loss)or Losses of Investment Funds Accounted for Using the Equity Method.
We recorded $31.1 million of equityEquity in net income related toof investment funds accounted for using the equity method was $59 million in the 20172023 third quarter, compared to $16.7a loss of $19 million of income for the 20162022 third quarter, and $111.9income of $176 million of income for the nine months ended September 30, 2017,2023, compared to $32.1income of $75 million of income for the 20162022 period. Such investments are generally recorded on a one to three month lag based on the availability of reports from the investment funds. Investment funds accounted for using the equity method totaled $962.6 million$4.3 billion at September 30, 2017,2023, compared to $811.3 million$3.8 billion at December 31, 2016.2022. See note 7, “Investment Information—Investments Accounted For Using the Equity Method,” to our consolidated financial statements for additional information.
Net Foreign Exchange Gains or Losses.
Net foreign exchange lossesgains for the 20172023 third quarter were $27.8$22 million, compared to netgains of $91 million for the 2022 third quarter. Net foreign exchange losses for the 2016 third quarter of $4.2 million, and net foreign exchange losses of $85.5 million for the nine months ended September 30, 2017,2023 were $1 million, compared to net foreign exchange lossesgains of $3.8$183 million for the 20162022 period. Amounts in suchboth 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.

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Income Tax Expense.
Our income tax provision on income (loss)or loss before income taxes, including income or loss from operating affiliates, resulted in an expense of 34.8% for the 2017 third quarter, compared to an expense of 5.1% for the 2016 third quarter, and an expense of 14.9%8.8% for the nine months ended September 30, 2017,2023, compared to 6.7%an expense of 3.0% for the 20162022 period. The effective tax rates for the 2017 third quarter and nine months ended September 30, 2017 included a discrete income tax benefit of $1.3 million and $7.7 million, respectively, arising from the change in accounting for stock based compensation. Our effective tax rate, which is based upon the expected annual effective tax rate, may fluctuate from periodSee note 13, “Income Taxes” to period based on the relative mix of income or loss reported by jurisdiction and the varying tax rates in each jurisdiction.
Other Segment
The ‘other’ segment includes the results of Watford Re. Pursuant to generally accepted accounting principles, Watford Re is considered a variable interest entity and we concluded that we are the primary beneficiary of Watford Re. As such, we consolidate the results of Watford Re in our consolidated financial statements, although we only own approximately 11% of Watford Re’s common equity. See note 3, “Variable Interest Entities and Noncontrolling Interests” and note 5, “Segment Information,” of the notes accompanying our consolidated financial statements for additional information on Watford Re.information.
Income or Losses from Operating Affiliates.
Income from operating affiliates for 2023 third quarter was $54 million, compared to income of $9 million for the 2022 third quarter, and income of $115 million for the nine months ended September 30, 2023, compared to income of $39 million for the 2022 period. See note 7, “Investment Information—Investments in Operating Affiliates,” to our consolidated financial statements for additional information.
ARCH CAPITAL 512023 THIRD QUARTER FORM 10-Q


CRITICAL ACCOUNTING POLICIES,
ESTIMATES AND RECENT ACCOUNTING PRONOUNCEMENTS

Critical accounting policies, estimates and recent accounting pronouncements are discussed in Management’s Discussion and Analysis of Financial Condition and Results of Operations contained in our 20162022 Form 10-K, updated where applicable in the notes accompanying our consolidated financial statements, including note 2, “Recent1, “Basis of Presentation and Recent Accounting Pronouncements.”
FINANCIAL CONDITION LIQUIDITY AND CAPITAL RESOURCES

Financial Condition
Investable Assets
At September 30, 2017, total investable assets of $22.00 billion included $19.70 billion held by Arch and $2.30 billion included in the ‘other’ segment (i.e., attributable to Watford Re).
Investable Assets Held by Arch
The following table summarizes the fair value of the investable assets held by Arch:
Investable assets (1):
Estimated
Fair Value
 
% of
Total
September 30, 2017   
Fixed maturities (2)$14,731,262
 74.8
Short-term investments1,723,081
 8.7
Cash805,210
 4.1
Equity securities (2)546,027
 2.8
Other investments (2)1,496,531
 7.6
Investments accounted for using the equity method962,574
 4.9
Securities transactions entered into but not settled at the balance sheet date(568,498) (2.9)
Total investable assets held by Arch$19,696,187
 100.0
    
December 31, 2016   
Fixed maturities (2)$14,521,774
 77.9
Short-term investments676,547
 3.6
Cash768,049
 4.1
Equity securities (2)558,008
 3.0
Other investments (2)1,276,841
 6.9
Investments accounted for using the equity method811,273
 4.4
Securities transactions entered into but not settled at the balance sheet date23,697
 0.1
Total investable assets held by Arch$18,636,189
 100.0
(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.
At September 30, 2017, our fixed income portfolio, which includes fixed maturity securities and short-term investments, had average credit quality ratings from Standard & Poor’s Rating Services (“S&P”)/Moody’s of “AA/Aa2” and an average yield to maturity (embedded book yield), before investment expenses, of 2.20%. At December 31, 2016, our fixed income portfolio had average credit quality ratings from S&P/Moody’s of “AA-/Aa3” and an average yield to maturity of 2.03%. Our investment portfolio had an average effective duration of 3.14 years at September 30, 2017, compared to 3.64 years at December 31, 2016. At September 30, 2017,2023, approximately $13.59$20.9 billion, or 69%65%, of total investable assets held by Arch were internally managed, compared to $13.90$18.8 billion, or 75%67%, at December 31, 2016.2022. See note 7, “Investment Information” to our consolidated financial statements for additional information.
September 30, 2023December 31, 2022
Average effective duration (in years)2.97 2.89 
Average S&P/Moody’s credit ratings (1)AA-/Aa3AA-/Aa3
(1)Average credit ratings on our investment portfolio on securities with ratings assigned by Standard & Poor’s Rating Services (“S&P”) and Moody’s Investors Service (“Moody’s”).


ACGL 2017 THIRD QUARTER FORM 10-Q65


The following table summarizes our fixed maturities and fixed maturities pledged under securities lending agreements (“Fixed Maturities”) by type:
 
Estimated
Fair Value
 
% of
Total
September 30, 2017 
  
Corporate bonds$4,588,758
 31.1
Mortgage backed securities337,478
 2.3
Municipal bonds2,353,234
 16.0
Commercial mortgage backed securities584,730
 4.0
U.S. government and government agencies3,761,612
 25.5
Non-U.S. government securities1,554,956
 10.6
Asset backed securities1,550,494
 10.5
Total$14,731,262
 100.0
    
December 31, 2016 
  
Corporate bonds$4,696,079
 32.3
Mortgage backed securities504,677
 3.5
Municipal bonds3,713,434
 25.6
Commercial mortgage backed securities536,051
 3.7
U.S. government and government agencies2,804,811
 19.3
Non-U.S. government securities1,142,735
 7.9
Asset backed securities1,123,987
 7.7
Total$14,521,774
 100.0
The following table provides the credit quality distribution of our Fixed Maturities.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
September 30, 2023
U.S. government and gov’t agencies (1)$6,359 27.5 
AAA4,164 18.0 
AA2,061 8.9 
A4,523 19.6 
BBB4,390 19.0 
BB773 3.3 
B352 1.5 
Lower than B16 0.1 
Not rated491 2.1 
Total$23,129 100.0 
December 31, 2022
U.S. government and gov’t agencies (1)$5,831 28.8 
AAA3,617 17.9 
AA2,214 10.9 
A3,993 19.7 
BBB3,324 16.4 
BB560 2.8 
B377 1.9 
Lower than B12 0.1 
Not rated309 1.5 
Total$20,237 100.0 
(1)Includes U.S. government-sponsored agency residential mortgage-backed securities and agency commercial mortgage-backed securities.
 Estimated Fair Value 
% of
Total
September 30, 2017   
U.S. government and gov’t agencies (1)$4,040,392
 27.4
AAA4,048,800
 27.5
AA2,406,692
 16.3
A2,285,336
 15.5
BBB1,110,089
 7.5
BB291,798
 2.0
B231,880
 1.6
Lower than B90,947
 0.6
Not rated225,328
 1.5
Total$14,731,262
 100.0
    
December 31, 2016   
U.S. government and gov’t agencies (1)$3,210,899
 22.1
AAA3,918,739
 27.0
AA3,148,226
 21.7
A2,338,834
 16.1
BBB1,203,942
 8.3
BB226,321
 1.6
B156,405
 1.1
Lower than B90,833
 0.6
Not rated227,574
 1.6
Total$14,521,774
 100.0
(1)ARCH CAPITALIncludes U.S. government-sponsored agency residential mortgage-backed securities and agency commercial mortgage-backed securities. 522023 THIRD QUARTER FORM 10-Q

Table of Contents
The following table provides information on the severity of the unrealized loss position as a percentage of amortized cost for all Fixed Maturitiesfixed 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
September 30, 2017     
September 30, 2023September 30, 2023
0-10%$7,499,372
 $(71,889) 86.1
0-10%$16,607 $(571)40.4 
10-20%73,042
 (10,600) 12.7
10-20%3,510 (555)39.3 
20-30%2,164
 (687) 0.8
20-30%834 (243)17.2 
Greater than 30%324
 (299) 0.4
Greater than 30%82 (45)3.2 
Total$7,574,902
 $(83,475) 100.0
Total$21,033 $(1,414)100.0 
     
December 31, 2016     
December 31, 2022December 31, 2022
0-10%$7,078,582
 $(127,909) 71.6
0-10%$12,343 $(580)35.2 
10-20%155,403
 (24,219) 13.5
10-20%5,331 (844)51.2 
20-30%89,887
 (25,929) 14.5
20-30%692 (199)12.1 
Greater than 30%1,496
 (702) 0.4
Greater than 30%44 (24)1.5 
Total$7,325,368
 $(178,759) 100.0
Total$18,410 $(1,647)100.0 
The following table summarizes our top ten exposures to fixed income corporate issuers by fair value at September 30, 2017,2023, excluding guaranteed amounts and covered bonds:
 Estimated Fair Value 
Credit
Rating (1)
Apple Inc.$144,561
 AA+/Aa1
Microsoft Corporation131,597
 AAA/Aaa
JPMorgan Chase & Co.116,451
 A-/A3
The Bank of New York Mellon Corporation89,245
 A/A1
Citigroup Inc.87,285
 A-/A3
Wells Fargo & Company82,560
 A/A2
New York Life Insurance Company74,684
 AA+/Aaa
Massmutual Global Funding II C72,581
 AA+/Aa2
MetLife, Inc.71,893
 AA-/Aa3
American Express Company69,096
 A-/A2
Total$939,953
  
(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

ACGL 2017 THIRD QUARTER FORM 10-QEstimated Fair Value66Credit
Rating (1)
Bank of America Corporation$360 A-/A1
Morgan Stanley333 A-/A1
JPMorgan Chase & Co.315 A-/A1
The Goldman Sachs Group, Inc.240 BBB+/A2
Citigroup Inc.222 BBB+/A3
HSBC Holdings plc167 A-/A2
Blue Owl Capital Inc.160 BBB-/Baa3
Wells Fargo & Company149 BBB+/A1
Philip Morris International Inc.142 A-/A2
Deere & Company129 A/A2
Total$2,217 

Table of Contents(1)Average credit ratings as assigned by S&P and Moody’s, respectively.

The following table provides information on our structured securities, which includes residential mortgage-backed securities (“RMBS”), commercial mortgage-backed securities (“CMBS”) and asset-backed securities (“ABS”):
AgenciesInvestment GradeBelow Investment GradeTotal
September 30, 2023
RMBS$682 $283 $— $965 
CMBS998 97 1,102 
ABS— 2,205 139 2,344 
Total$689 $3,486 $236 $4,411 
December 31, 2022
RMBS$645 $134 $16 $795 
CMBS18 947 82 1,047 
ABS— 1,788 141 1,929 
Total$663 $2,869 $239 $3,771 
 Agencies Investment Grade Below Investment Grade Total
Sep. 30, 2017       
RMBS$274,710
 $19,940
 $42,828
 $337,478
CMBS4,071
 509,080
 71,579
 584,730
ABS
 1,458,114
 92,380
 1,550,494
Total$278,781
 $1,987,134
 $206,787
 $2,472,702
        
December 31, 2016       
RMBS$393,188
 $60,600
 $50,889
 $504,677
CMBS12,900
 513,266
 9,885
 536,051
ABS
 1,077,614
 46,373
 1,123,987
Total$406,088
 $1,651,480
 $107,147
 $2,164,715
At September 30, 2017, our structured securities included $40.5 million par value in sub-prime securities with a fair value of $34.5 million and average credit quality ratings from S&P/Moody’s of “CCC/Caa3.” At December 31, 2016, our fixed income portfolio included $25.3 million par value in sub-prime securities with a fair value of $23.3 million and average credit quality ratings from S&P/Moody’s of “CCC/Caa3.”
At September 30, 2017, our equity portfolio included $546.0 million of equity securities, compared to $558.0 million at December 31, 2016. Our equity portfolio includes publicly traded common stocks in the natural resources, energy, consumer staples and other sectors.
The following table provides information on the severity of the unrealized loss position as a percentage of cost for all equity securities classified as available for sale which were in an unrealized loss position:
Severity of gross unrealized losses:Estimated Fair Value 
Gross
Unrealized
Losses
 
% of
Total Gross
Unrealized
Losses
September 30, 2017     
0-10%$155,016
 $(3,670) 46.6
10-20%11,219
 (1,804) 22.9
20-30%2,632
 (848) 10.8
Greater than 30%2,070
 (1,551) 19.7
Total$170,937
 $(7,873) 100.0
      
December 31, 2016     
0-10%$214,364
 $(8,776) 50.1
10-20%52,034
 (7,100) 40.5
20-30%1,983
 (607) 3.5
Greater than 30%1,000
 (1,034) 5.9
Total$269,381
 $(17,517) 100.0
The following table provides information on the fair value of our Eurozone investments at September 30, 2017:
Country (1)
Sovereign
(2)
 Corporate Bonds 
Other
(3)
 Total
Netherlands$100,463
 $96,733
 $7,154
 $204,350
Germany103,751
 27,931
 43,928
 175,610
Belgium47,890
 7,522
 
 55,412
Luxembourg
 16,605
 18,624
 35,229
France1,011
 7,017
 23,885
 31,914
Austria16,120
 
 
 16,120
Spain
 1,696
 10,192
 11,889
Ireland
 6,698
 2,670
 9,369
Italy
 1,685
 6,942
 8,626
Finland
 
 4,306
 4,306
Portugal
 
 549
 549
Greece
 
 402
 402
Total$269,236
 $165,887
 $118,653
 $553,777
(1)The country allocations set forth in the table are based on various assumptions made by us in assessing the country in which the underlying credit risk resides, including a review of the jurisdiction of organization, business operations and other factors. Based on such analysis, we do not believe that we have any other Eurozone investments at September 30, 2017.
(2)Includes securities issued and/or guaranteed by Eurozone governments.
(3)Includes bank loans, equities and other.
The following table summarizes our equity securities, which include investments in exchange traded funds:
September 30,
2023
December 31,
2022
Equities (1)$528 $570 
Exchange traded funds
Fixed income (2)277 272 
Equity and other (3)96 32 
Total$901 $874 
(1)Primarily in consumer non-cyclical, communications, technology, financial and consumer cyclical at September 30, 2023.
(2)Primarily in corporate exposure at September 30, 2023.
(3)Primarily in large cap stocks, foreign equities, healthcare, technology and consumer discretionary at September 30, 2023.

For details on our other investments:investments and other investable assets, see note 7, “Investment Information—Other Investments” to our consolidated financial statements.
 September 30,
2017
 December 31,
2016
Available for sale:   
Asian and emerging markets$123,225
 $84,778
Investment grade fixed income53,325
 33,923
Credit related funds20,752
 7,469
Other63,037
 41,800
Total available for sale260,339
 167,970
Fair value option:   
Term loan investments376,721
 378,877
Mezzanine debt funds172,000
 127,943
Credit related funds194,200
 218,298
Investment grade fixed income95,151
 75,468
Asian and emerging markets250,481
 178,568
Other (1)147,639
 129,717
Total fair value option1,236,192
 1,108,871
Total$1,496,531
 $1,276,841
(1)Includes fundFor details on our investments with strategies in mortgage servicing rights, transportation and infrastructure assets and other.
Investable Assets in the ‘Other’ Segment
Investable assets in the ‘other’ segment are managed by Watford Re. The board of directors of Watford Re establishes their investment policies and guidelines. Watford Re’s investments are accounted for using the equity method, see note 7, “Investment Information—Investments Accounted For Using the Equity Method,” to our consolidated financial statements.
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 9, “Derivative Instruments,” to our consolidated financial statements for additional disclosures related to derivatives.
Accounting guidance regarding fair value option with changes in the carryingmeasurements 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 such investments recorded in net realized gains or losses.fair value to be used throughout GAAP. See note 8, “Fair Value,” to our consolidated financial statements

ARCH CAPITALACGL 2017 532023 THIRD QUARTER FORM 10-Q67

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The following table summarizes investablefor a summary of our financial assets and liabilities measured at fair value, segregated by level in the ‘other’ segment:fair value hierarchy.
Reinsurance
 September 30,
2017
 December 31,
2016
Investments accounted for using the fair value option:   
Other investments$1,061,013
 $811,922
Fixed maturities1,094,593
 734,260
Short-term investments272,495
 309,127
Equity securities29,265
 2,314
Total2,457,366
 1,857,623
Cash57,151
 74,893
Securities sold but not yet purchased(72,682) (33,157)
Securities transactions entered into but not settled at the balance sheet date(137,014) (41,596)
Total investable assets included in ‘other’ segment$2,304,821
 $1,857,763
Premiums Receivable and Reinsurance Recoverables
At September 30, 2017, 81.2% of premiums receivable of $1.27 billion represented amounts not yet due, while amounts in excess of 90 days overdue were 4.1% of the total. At December 31, 2016, 81.0% of premiums receivable of $1.07 billion represented amounts not yet due, while amounts in excess of 90 days overdue were 5.2% of the total. Our reserves for doubtful accounts were approximately $24.0 million at September 30, 2017, compared to $21.0 million at December 31, 2016.
At September 30, 2017 and December 31, 2016, approximately 72.5% and 75.7% of reinsurance recoverables on paid and unpaid losses (not including ceded unearned premiums) of $2.51 billion and $2.11 billion, respectively, were due from carriers which had an A.M. Best rating of “A-” or better while 27.5% and 24.3%, 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 September 30, 2017 and December 31, 2016. The largest reinsurance recoverables from any one carrier was approximately 2.2% and 2.4%, respectively, of total shareholders’ equity available to Arch at September 30, 2017 and December 31, 2016.
Approximately 4.1% of the $43.3 million of paid losses and loss adjustment expenses recoverable at September 30, 2017 were more than 90 days overdue, compared to 6.7% of the $30.6 million of paid losses and loss adjustment expenses recoverable at December 31, 2016. No collection issues were indicated on the amount in excess of 90 days overdue at September 30, 2017.
The effects of reinsurance on written and earned premiums and losses and loss adjustment expenses (“LAE”) with unaffiliated reinsurers were as follows:
Three Months EndedNine Months Ended
September 30,September 30,
2023202220232022
Premiums written:
Direct$2,496 $2,248 $7,227 $6,505 
Assumed2,031 1,613 6,925 5,027 
Ceded(1,172)(1,137)(3,945)(3,489)
Net$3,355 $2,724 $10,207 $8,043 
Premiums earned:
Direct$2,338 $2,067 $6,721 $5,926 
Assumed2,084 1,525 5,675 4,038 
Ceded(1,174)(1,121)(3,300)(3,046)
Net$3,248 $2,471 $9,096 $6,918 
Losses and LAE:
Direct$1,206 $1,228 $3,438 $3,017 
Assumed1,084 1,370 3,001 2,661 
Ceded(643)(915)(1,830)(1,891)
Net$1,647 $1,683 $4,609 $3,787 
See note 6, “Allowance for Expected Credit Losses,” to our consolidated financial statements for information about our reinsurance recoverables and related allowance for credit losses.
Bellemeade Re
We have entered into aggregate excess of loss mortgage reinsurance agreements with various special purpose reinsurance companies domiciled in Bermuda (the “Bellemeade Agreements”). For the respective coverage periods, we 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. We will then retain losses in excess of the outstanding coverage limit. The aggregate excess of loss reinsurance coverage generally decreases over a ten-year period as the underlying covered mortgages amortize, unless provisional call options embedded within certain of the Bellemeade Agreements are executed or if pre-defined delinquency triggering events occur.
The following table summarizes the respective coverages and retentions at September 30, 2023:
Bellemeade Entities
(Issue Date)
Initial Coverage at IssuanceCurrent CoverageRemaining Retention, Net
2018-1 Ltd. (1)374 51 149 
2018-3 Ltd. (2)506 154 158 
2019-1 Ltd. (3)342 80 127 
2019-2 Ltd. (4)621 265 198 
2019-3 Ltd. (5)701 120 215 
2019-4 Ltd. (6)577 218 145 
2020-2 Ltd. (7)449 54 241 
2020-3 Ltd. (8)452 187 162 
2020-4 Ltd. (9)337 69 141 
2021-1 Ltd. (10)644 404 154 
2021-2 Ltd. (11)616 438 138 
2021-3 Ltd. (12)639 560 134 
2022-1 Ltd. (13)317 298 139 
2022-2 Ltd. (14)327 327 204 
Total$6,902 $3,225 $2,305 
(1)    Issued in April 2018, covering in-force policies issued between July 1, 2017 and December 31, 2017.
(2)    Issued in October 2018, covering in-force policies issued between January 1, 2018 and June 30, 2018.
(3)    Issued in March 2019, covering in-force policies primarily issued between 2005-2008 under United Guaranty Residential Insurance Company (“UGRIC”); as well as policies issued through 2015 under both UGRIC and Arch Mortgage Insurance Company.
(4)    Issued in April 2019, covering in-force policies issued between July 1, 2018 and December 31, 2018.
(5)    Issued in July 2019, covering in-force policies issued in 2016.
(6)    Issued in October 2019, covering in-force policies issued between January 1, 2019 and June 30, 2019.
(7)    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.
(8)    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.
(9)     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.
(10) 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.
(11) 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.
(12) 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.
 Three Months Ended Nine Months Ended
 September 30, September 30,
 2017 2016 2017 2016
Premiums written:       
Direct$1,147,793
 $841,119
 $3,338,106
 $2,539,073
Assumed500,453
 437,646
 1,577,789
 1,507,594
Ceded(322,843) (264,487) (1,065,537) (887,591)
Net$1,325,403
 $1,014,278
 $3,850,358
 $3,159,076
        
Premiums earned:       
Direct$1,121,168
 $807,656
 $3,216,268
 $2,382,784
Assumed501,587
 413,960
 1,431,746
 1,308,349
Ceded(360,869) (263,213) (1,028,237) (775,166)
Net$1,261,886
 $958,403
 $3,619,777
 $2,915,967
        
Losses and LAE:       
Direct$917,721
 $490,420
 $1,968,900
 $1,471,472
Assumed621,717
 172,490
 1,112,255
 630,271
Ceded(493,297) (138,727) (792,584) (470,019)
Net$1,046,141
 $524,183
 $2,288,571
 $1,631,724
Reserves
ARCH CAPITAL 542023 THIRD QUARTER FORM 10-Q

(13)    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.
(14) 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.
See note 16, “Subsequent Events,” to our consolidated financial statements for information about our Bellemeade Agreements.
Reserve for Losses and Loss Adjustment Expenses
We establish reservesreserve for losses and loss adjustment expenses (“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.

ACGL 2017 THIRD QUARTER FORM 10-Q68


At September 30, 20172023 and December 31, 2016,2022, our Loss Reserves, net of unpaid losses and loss adjustment expenses recoverable, and deferred reinsurance charge asset, by type and by operating segment were as follows:
September 30,
2023
December 31,
2022
Insurance segment:  
Case reserves$2,577 $2,398 
IBNR reserves5,461 4,934 
Total net reserves8,038 7,332 
Reinsurance segment:
Case reserves2,267 1,903 
Additional case reserves511 481 
IBNR reserves3,954 3,403 
Total net reserves6,732 5,787 
Mortgage segment:
Case reserves383 447 
IBNR reserves187 186 
Total net reserves570 633 
Total:  
Case reserves5,227 4,748 
Additional case reserves511 481 
IBNR reserves9,602 8,523 
Total net reserves$15,340 $13,752 
 September 30,
2017
 December 31,
2016
Insurance segment: 
  
Case reserves$1,524,718
 $1,414,603
IBNR reserves3,411,009
 3,187,451
Total net reserves4,935,727
 4,602,054
Reinsurance segment:   
Case reserves1,011,298
 762,730
Additional case reserves162,632
 92,524
IBNR reserves1,534,236
 1,517,983
Deferred reinsurance charge asset(802) 
Total net reserves2,707,364
 2,373,237
Mortgage segment:   
Case reserves458,960
 593,222
IBNR reserves84,926
 59,791
Total net reserves (1)543,886
 653,013
Other segment:   
Case reserves232,345
 125,703
Additional case reserves31,575
 9,513
IBNR reserves436,831
 353,865
Total net reserves700,751
 489,081
Total: 
  
Case reserves3,227,321
 2,896,258
Additional case reserves194,207
 102,037
IBNR reserves5,467,002
 5,119,090
Deferred reinsurance charge asset(802) 
Total net reserves$8,887,728
 $8,117,385
(1)At September 30, 2017, total net reserves include $481.5 million from U.S. primary mortgage insurance business, of which 72.2% represents policy years 2007 and prior, 11.7% from 2008 and the remainder from later policy years.
At September 30, 20172023 and December 31, 2016,2022, the insurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
September 30,
2017
 December 31,
2016
September 30,
2023
December 31,
2022
Insurance segment:   Insurance segment:
Professional lines (1)$1,321,024
 $1,293,667
Professional linesProfessional lines$2,347 $2,070 
Construction and national accounts1,064,949
 976,109
Construction and national accounts1,661 1,558 
Excess and surplus casualty (2)683,852
 687,305
Excess and surplus casualtyExcess and surplus casualty914 786 
Programs677,879
 667,677
Programs911 843 
Property, energy, marine and aviation439,409
 302,057
Property, energy, marine and aviation762 764 
Travel, accident and health80,391
 72,726
Travel, accident and health148 139 
Lenders products53,512
 42,147
Other (3)614,711
 560,366
Warranty and lenders solutionsWarranty and lenders solutions63 47 
OtherOther1,232 1,125 
Total net reserves$4,935,727
 $4,602,054
Total net reserves$8,038 $7,332 
(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 September 30, 20172023 and December 31, 2016,2022, the reinsurance segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, and including deferred reinsurance charge asset, were as follows:
September 30,
2023
December 31,
2022
Reinsurance segment:
Casualty$2,606 $2,342 
Other specialty1,949 1,476 
Property excluding property catastrophe1,123 993 
Property catastrophe559 536 
Marine and aviation350 292 
Other145 148 
Total net reserves$6,732 $5,787 
At September 30, 2023 and December 31, 2022, the mortgage segment’s Loss Reserves by major line of business, net of unpaid losses and loss adjustment expenses recoverable, were as follows:
September 30,
2023
December 31,
2022
Mortgage segment:
U.S. primary mortgage insurance (1)$377 $415 
U.S. credit risk transfer (CRT) and other102 109 
International mortgage insurance/
reinsurance
91 109 
Total net reserves$570 $633 
(1)    At September 30, 2023, 31.8% of total net reserves represents policy years 2013 and prior and the remainder from later policy years. At December 31, 2022, 36.1% of total net reserves represent policy years 2013 and prior and the remainder from later policy years.

 September 30,
2017
 December 31,
2016
Reinsurance segment:   
Casualty (1)$1,482,463
 $1,355,362
Other specialty (2)503,947
 428,205
Property excluding property catastrophe (3)392,002
 297,200
Marine and aviation140,432
 147,700
Property catastrophe128,988
 86,026
Other (4)59,532
 58,744
Total net reserves$2,707,364
 $2,373,237
(1)ARCH CAPITALIncludes executive assurance, professional liability, workers’ compensation, excess motor, healthcare and other. 552023 THIRD QUARTER FORM 10-Q
(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.

Table of Contents
Mortgage Operations Supplemental Information
The mortgage segment’s insurance in force (“IIF”) and risk in force (“RIF”) were as follows at September 30, 2023 and December 31, 2022:
September 30, 2023December 31, 2022
Amount%Amount%
Insurance In Force (IIF) (1):
U.S. primary mortgage insurance$292,903 57.4 $295,651 57.6 
U.S. credit risk transfer (CRT) and other152,453 29.9 145,087 28.3 
International mortgage insurance/reinsurance65,107 12.8 72,315 14.1 
Total$510,463 100.0 $513,053 100.0 
Risk In Force (RIF) (2):
U.S. primary mortgage insurance$75,850 84.9 $75,806 84.8 
U.S. credit risk transfer (CRT) and other6,478 7.2 6,245 7.0 
International mortgage insurance/reinsurance7,034 7.9 7,369 8.2 
Total$89,362 100.0 $89,420 100.0 
(1)Represents the endaggregate dollar amount of each insured mortgage loan’s current principal balance. Such amounts are shown before external reinsurance.
(2)The aggregate dollar amount of each insured mortgage loan’s current principal balance multiplied by the last two quarters: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. Such amounts are shown before external reinsurance.
(U.S. Dollars in millions)September 30, 2017 June 30, 2017
Amount % Amount %
Insurance In Force (IIF) (1):       
U.S. primary mortgage insurance$250,375
 72.3
 $244,235
 73.4
Mortgage reinsurance26,869
 7.8
 26,120
 7.8
Other (2)68,925
 19.9
 62,503
 18.8
Total$346,169
 100.0
 $332,858
 100.0
        
Risk In Force (RIF) (3):       
U.S. primary mortgage insurance$64,005
 92.5
 $62,362
 92.6
Mortgage reinsurance2,433
 3.5
 2,453
 3.6
Other (2)2,742
 4.0
 2,517
 3.7
Total$69,180
 100.0
 $67,332
 100.0
(1)Represents the aggregate dollar amount of each insured mortgage loan’s current principal balance.
(2)Includes GSE credit risk-sharing transactions and international insurance business.
(3)Represents 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 credit risk-sharing or reinsurance transactions.

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The insurance in forceIIF and risk in forceRIF for our U.S. primary mortgage insurance business by policy year were as follows at September 30, 2017:2023:
IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2013 and prior$11,263 3.8 $2,842 3.7 6.52 %
20142,759 0.9 742 1.0 2.43 %
20155,113 1.7 1,366 1.8 1.88 %
20167,970 2.7 2,148 2.8 2.51 %
20178,016 2.7 2,132 2.8 2.96 %
20188,908 3.0 2,302 3.0 3.66 %
201916,572 5.7 4,250 5.6 2.22 %
202054,238 18.5 13,997 18.5 1.06 %
202180,045 27.3 20,567 27.1 1.00 %
202265,065 22.2 17,038 22.5 0.72 %
202332,954 11.3 8,466 11.2 0.15 %
Total$292,903 100.0 $75,850 100.0 1.65 %
(1)Represents the ending percentage of loans in default.
The IIF and RIF for our U.S. primary mortgage insurance business by policy year were as follows at December 31, 2022:
(U.S. Dollars in millions)IIF RIF Delinquency
Amount % Amount % Rate (1)
Policy year:         
2007 and prior$22,206
 8.9
 $5,052
 7.9
 10.30%
20085,192
 2.1
 1,273
 2.0
 6.27%
20091,192
 0.5
 282
 0.4
 2.72%
20101,368
 0.5
 369
 0.6
 1.70%
20114,415
 1.8
 1,205
 1.9
 1.09%
201214,995
 6.0
 4,101
 6.4
 0.60%
201322,719
 9.1
 6,217
 9.7
 0.77%
201424,747
 9.9
 6,582
 10.3
 0.81%
201544,453
 17.8
 11,417
 17.8
 0.47%
201663,805
 25.5
 16,027
 25.0
 0.32%
201745,283
 18.1
 11,480
 17.9
 0.06%
Total$250,375
 100.0
 $64,005
 100.0
 1.98%
IIFRIFDelinquency
Amount%Amount%Rate (1)
Policy year:
2013 and prior$12,931 4.4 $3,222 4.3 7.07 %
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.
(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 the end of the last two quarters:September 30, 2023 and December 31, 2022:
September 30, 2023December 31, 2022
Amount%Amount%
Credit quality (FICO):
>=740$46,990 62.0 $46,812 61.8 
680-73925,055 33.0 24,945 32.9 
620-6793,554 4.7 3,772 5.0 
<620251 0.3 277 0.4 
Total$75,850 100.0 $75,806 100.0 
Weighted average FICO score748 750 
Loan-to-value (LTV):
95.01% and above$7,113 9.4 $7,289 9.6 
90.01% to 95.00%44,675 58.9 43,681 57.6 
85.01% to 90.00%20,565 27.1 20,851 27.5 
85.00% and below3,497 4.6 3,985 5.3 
Total$75,850 100.0 $75,806 100.0 
Weighted average LTV93.0 %92.8 %
Total RIF, net of external reinsurance$56,946 $57,151 
(U.S. Dollars in millions)September 30, 2017 June 30, 2017
Amount % Amount %
Credit quality (FICO):       
>=740$37,297
 58.3
 $36,378
 58.3
680-73920,822
 32.5
 20,122
 32.3
620-6795,178
 8.1
 5,118
 8.2
<620708
 1.1
 744
 1.2
Total$64,005
 100.0
 $62,362
 100.0
Weighted average FICO score743
   743
  
        
Loan-to-value (LTV):       
95.01% and above$6,175
 9.6
 $5,983
 9.6
90.01% to 95.00%35,703
 55.8
 34,718
 55.7
85.01% to 90.00%19,247
 30.1
 18,810
 30.2
85.00% and below2,880
 4.5
 2,851
 4.6
Total$64,005
 100.0
 $62,362
 100.0
Weighted average LTV92.9%   92.8%  
        
Total RIF, net of external reinsurance$47,980
   $45,774
  

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September 30, 2023December 31, 2022
(U.S. Dollars in millions)September 30, 2017 June 30, 2017
Amount % Amount %
Amount%Amount%
       
CaliforniaCalifornia$6,235 8.2 $6,341 8.4 
Texas$5,120
 8.0
 $5,075
 8.1
Texas6,081 8.0 6,151 8.1 
California3,671
 5.7
 3,524
 5.7
North CarolinaNorth Carolina3,258 4.3 3,160 4.2 
GeorgiaGeorgia3,116 4.1 3,169 4.2 
Florida2,764
 4.3
 2,622
 4.2
Florida3,086 4.1 3,268 4.3 
MinnesotaMinnesota3,060 4.0 3,003 4.0 
IllinoisIllinois2,994 3.9 3,081 4.1 
MassachusettsMassachusetts2,841 3.7 2,809 3.7 
MichiganMichigan2,722 3.6 2,618 3.5 
Virginia2,743
 4.3
 2,691
 4.3
Virginia2,605 3.4 2,656 3.5 
North Carolina2,378
 3.7
 2,346
 3.8
Washington2,312
 3.6
 2,311
 3.7
Georgia2,293
 3.6
 2,239
 3.6
Maryland2,209
 3.5
 2,160
 3.5
Illinois2,200
 3.4
 2,157
 3.5
Minnesota2,138
 3.3
 2,072
 3.3
Others36,177
 56.5
 35,165
 56.4
OtherOther39,852 52.5 39,550 52.2 
Total$64,005
 100.0
 $62,362
 100.0
Total$75,850 100.0 $75,806 100.0 
The following table provides supplemental disclosures for our U.S. primary mortgage insurance business related to insured loans and loss metrics:
(U.S. Dollars in thousands, except policy, loan and claim count)Nine Months Ended
September 30,
20232022
Roll-forward of insured loans in default:
Beginning delinquent number of loans20,567 27,645 
New notices28,642 26,328 
Cures(29,903)(33,225)
Paid claims(662)(534)
Ending delinquent number of loans (1)18,644 20,214 
Ending number of policies in force (1)1,129,351 1,168,735 
Delinquency rate (1)1.65 %1.73 %
Losses:
Number of claims paid662 534 
Total paid claims$19,502 $16,865 
Average per claim$29.5 $31.6 
Severity (2)68.8 %74.3 %
Average case reserve per default (1)$21.2 $27.7 
(U.S. Dollars in thousands, except policy, loan and claim count) Three Months Ended
 September 30,
2017
 June 30,
2017
Roll-forward of insured loans in default:    
Beginning delinquent number of loans 23,903
 26,234
New notices 9,028
 8,858
Cures (7,891) (9,078)
Paid claims (1,270) (2,111)
Ending delinquent number of loans (1) 23,770
 23,903
     
Ending number of policies in force (1) 1,202,619
 1,183,659
     
Delinquency rate (1) 1.98% 2.02%
     
Losses:    
Number of claims paid 1,270
 2,111
Total paid claims $59,832
 $85,539
Average per claim $47.1
 $40.5
Severity (2) 103.5% 104.4%
Average reserve per default (in thousands) (1) $19.3
 $20.4
(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-capitalrisk 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 11.26.6 to 1 at September 30, 2017,2023, compared to 12.07.2 to 1 at June 30, 2017.December 31, 2022.
Shareholders’ Equity and Book Value per Share
Total shareholders’ equity available to Arch was $8.91 billion at September 30, 2017, compared to $8.25 billion at December 31, 2016. The increase was primarily attributable to net income, reflecting contributions from both underwriting and investing activities.

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The following table presents the calculation of book value per share:
September 30,
2023
December 31,
2022
Total shareholders’ equity available to Arch$15,239 $12,910 
Less preferred shareholders’ equity830 830 
Common shareholders’ equity available to Arch$14,409 $12,080 
Common shares and common share equivalents outstanding, net of treasury shares (1)373.1 370.3 
Book value per share$38.62 $32.62 
(1)Excludes the effects of 12.7 million and 14.4 million stock options and 0.6 million and 0.6 million restricted stock units outstanding at September 30, 2023 and December 31, 2022, respectively.
LIQUIDITY
(U.S. dollars in thousands, except 
share data)
September 30,
2017
 December 31,
2016
Total shareholders’ equity available to Arch$8,911,144
 $8,253,718
Less preferred shareholders’ equity772,555
 772,555
Common shareholders’ equity available to Arch$8,138,589
 $7,481,163
Common shares and common share equivalents outstanding, net of treasury shares (1)136,540,573
 135,550,337
Book value per share$59.61
 $55.19
(1)Excludes the effects of 6,784,649 and 6,872,494 stock options and 419,908 and 381,461 restricted stock units outstanding at September 30, 2017 and December 31, 2016, respectively.
Liquidity and Capital Resources
Refer to the ‘Liquidity and Capital Resources’ section contained in Item 7is a measure of our 2016 Form 10-K for a general discussionability to access sufficient cash flows to meet the short-term and long-term cash requirements of our liquiditybusiness 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 capital resources. This section does not include information specificdividends or other distributions from its subsidiaries to Watford Re. We do not guaranteemake payments, including the payment of debt service obligations and operating expenses it may incur and any dividends or provide credit support for Watford Re, and our financial exposure to Watford Re is limitedliquidation amounts with respect to our investment in Watford Re’spreferred and common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions with Watford Re.shares.
The following table provided an analysis of our capital structure:
(U.S. dollars in thousands, except 
share data)
September 30,
2017
 December 31,
2016
Debt:   
ACGL senior notes, due May 2034$297,030
 $296,957
Arch-U.S. senior notes, due Nov 2043 (1)494,596
 494,525
ACF senior notes, due Dec 2026 (2)495,955
 495,689
ACF senior notes, due Dec 2046 (2)445,145
 445,087
Revolving credit agreement borrowings due Oct 2021400,000
 500,000
Total$2,132,726
 $2,232,258
    
Shareholders’ equity available to Arch:   
Series C non-cumulative preferred shares$92,555
 $322,555
Series E non-cumulative preferred shares450,000
 450,000
Series F non-cumulative preferred shares230,000
 
Common shareholders’ equity8,138,589
 7,481,163
Total$8,911,144
 $8,253,718
    
Total capital available to Arch$11,043,870
 $10,485,976
    
Debt to total capital (%)19.3
 21.3
Debt and prefered to total capital (%)26.3
 28.7
(1)Issued by Arch Capital Group (U.S.) Inc., a wholly owned subsidiary of ACGL, and fully and unconditionally guaranteed by ACGL.
(2)Issued by Arch Capital Finance LLC (“ACF”), a wholly owned subsidiary of Arch U.S. MI Holdings Inc., and fully and unconditionally guaranteed by ACGL.
For the nine months ended September 30, 2017, ACGL2023, Arch Capital received dividends of $182.5$98 million from Arch Reinsurance Ltd. (“Arch Re Bermuda”), our Bermuda-basedBermuda based reinsurer and insurer, which can pay approximately $1.79$3.6 billion to ACGLArch Capital during the remainder of 20172023 without providing an affidavit to the Bermuda Monetary Authority (“BMA”).Authority.
In August 2017, ACGL completedWe expect that our liquidity needs, including our anticipated (re)insurance obligations and operating and capital expenditure needs, for at least the next twelve months and thereafter for the foreseeable future, 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. During the 2023 third quarter, Arch Capital and certain of its subsidiaries amended the existing credit agreement. For details on our credit agreement, see note 10, “Commitments and Contingencies” and see note 16, Subsequent Events to our consolidated financial statements.

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Cash Flows
The following table summarizes our cash flows from operating, investing and financing activities:
Nine Months Ended
September 30,
 20232022
Total cash provided by (used for):  
Operating activities$4,084 $2,834 
Investing activities(3,936)(2,106)
Financing activities(52)(704)
Effects of exchange rate changes on foreign currency cash and restricted cash(14)(80)
Increase (decrease) in cash and restricted cash$82 $(56)
Cash provided by operating activities for the nine months ended September 30, 2023 was higher than in the 2022 period. Activity for the nine months ended September 30, 2023 primarily reflected a $230.0 million underwritten public offeringhigher level of 5.45% Series F preferred shares and,premiums collected than in the 2022 period.
Cash used for investing activities for the nine months ended September 2017, used30, 2023 was higher than in the 2022 period. Activity for the nine months ended September 30, 2023 reflected higher net proceeds received and other available funds to redeempurchases than in the 2022 period due in part its outstanding 6.75% Series C preferred shares.to strong operating cash flows in 2023.
Our U.S. insurance and reinsurance subsidiaries are subject to insurance laws and regulationsCash used for financing activities for the nine months ended September 30, 2023 was lower than in the jurisdictions in which they operate. 2022 period. Activity for the nine months ended September 30, 2023 reflected no repurchases under our share repurchase program, while the 2022 period included $586 million of share repurchases.
CAPITAL RESOURCES
The abilityfollowing table provides an analysis 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.capital structure:
In addition,
September 30,
2023
December 31,
2022
Senior notes$2,726 $2,725 
Shareholders’ equity available to Arch:
Series F non-cumulative preferred shares$330 $330 
Series G non-cumulative preferred shares500 500 
Common shareholders’ equity14,409 12,080 
Total$15,239 $12,910 
Total capital available to Arch$17,965 $15,635 
Debt to total capital (%)15.2 17.4 
Preferred to total capital (%)4.6 5.3 
Debt and preferred to total capital (%)19.8 22.7 
Arch MI U.S. is required to maintain compliance with the GSEs requirements, known as the Private Mortgage Insurer Eligibility Requirements or “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 September 30, 2017 with an estimated PMIER sufficiency ratio of 122%,245% at September 30, 2023, compared to 122%236% at June 30, 2017.December 31, 2022.
ForArch Capital, through its subsidiaries, provides financial support to certain of its insurance subsidiaries and affiliates, through certain reinsurance arrangements beneficial to the nine months endedratings of such subsidiaries. Historically, our insurance, reinsurance and mortgage insurance subsidiaries have entered into separate reinsurance arrangements with Arch Re Bermuda covering individual lines of business.
GUARANTOR INFORMATION
The below table provides a description of our senior notes payable at September 30, 2017,2023:
InterestPrincipalCarrying
Issuer/Due(Fixed)AmountAmount
Arch Capital:
May 1, 20347.350 %$300 $298 
June 30, 20503.635 %1,000989
Arch-U.S.:
Nov. 1, 2043 (1)5.144 %500495
Arch Finance:
Dec. 15, 2026 (1)4.011 %500498
Dec. 15, 2046 (1)5.031 %450446
Total$2,750 $2,726 
(1)Fully and unconditionally guaranteed by Arch U.S. MI HoldingsCapital.
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-U.S., received $342.0 millionArch Capital and Arch Finance is a wholly-owned finance subsidiary of dividends from subsidiariesArch-U.S. Our 2034 senior notes and 2050 senior notes issued by Arch Capital are unsecured and unsubordinated obligations of United Guaranty Corporation, including United Guaranty Residential Insurance Company (“UGRIC”). Of such amount, $263.0 million was contributed to Arch Mortgage Insurance Company. UGRIC may not pay additional dividends duringCapital 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 remainderother unsecured and unsubordinated indebtedness of 2017.
ForArch-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 nine months ended September 30, 2017, Arch-U.S. received $50.0 millionother unsecured and unsubordinated indebtedness of dividends from Arch Reinsurance Company (“Finance and Arch Re U.S.”), our U.S.-licensed reinsurer. Arch Re U.S. can pay approximately $78.4 million to Arch-U.S. during the remainder of 2017, subject to the approval of the Commissioner of the Delaware Department of Insurance.
Pursuant to our 2014 acquisition of the CMG Entities, we made a contingent consideration payment of $71.7 million in April 2017. The maximum amount of remaining contingentCapital.

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Arch-U.S. and Arch Finance depend on their available cash resources, liquid investments and dividends or other distributions from their subsidiaries or affiliates to make payments, including the payment of debt service obligations and operating expenses they may incur.
The following tables present condensed financial information for Arch Capital (parent guarantor) and Arch-U.S. (subsidiary issuer):
September 30, 2023
Arch CapitalArch-U.S.
Assets
Total investments$$86 
Cash
Investment in operating affiliates— 
Due from subsidiaries and affiliates— — 
Other assets21 32 
Total assets$36 $124 
Liabilities
Senior notes1,287 495 
Due to subsidiaries and affiliates— 1,018 
Other liabilities42 45 
Total liabilities$1,329 $1,558 
Non-cumulative preferred shares$830 — 
December 31, 2022
Arch CapitalArch-U.S.
Assets
Total investments$$79 
Cash11 10 
Investment in operating affiliates— 
Due from subsidiaries and affiliates— 
Other assets18 30 
Total assets$43 $119 
Liabilities
Senior notes1,287 495 
Due to subsidiaries and affiliates— 991 
Other liabilities37 37 
Total liabilities$1,324 $1,523 
Non-cumulative preferred shares$830 — 
Nine Months Ended
September 30, 2023
Arch CapitalArch-U.S.
Revenues
Net investment income$$
Equity in net income (loss) of investments accounted for using the equity method— (3)
Total revenues— 
Expenses
Corporate expenses67 
Interest expense44 57 
Total expenses111 65 
Income (loss) before income taxes and income (loss) from operating affiliates(109)(65)
Income tax (expense) benefit— 15 
Income (loss) from operating affiliates(1)— 
Net income available to Arch(110)(50)
Preferred dividends(30)— 
Net income (loss) available to Arch common shareholders$(140)$(50)
Year Ended
December 31, 2022
Arch CapitalArch-U.S.
Revenues
Net investment income
Equity in net income (loss) of investments accounted for using the equity method— 10 
Total revenues11 
Expenses
Corporate expenses86 13 
Interest expense59 48 
Total expenses145 61 
Income (loss) before income taxes and income (loss) from operating affiliates(143)(50)
Income tax (expense) benefit— 10 
Income (loss) from operating affiliates(1)— 
Net income available to Arch(144)(40)
Preferred dividends(41)— 
Net income (loss) available to Arch common shareholders$(185)$(40)
ARCH CAPITAL 592023 THIRD QUARTER FORM 10-Q

Table of Contents
CATASTROPHIC AND SEVERE ECONOMIC EVENTS
ACGL 2017 THIRD QUARTER FORM 10-Q71


consideration payments over the remaining earn-out period is $68.3 million.
The following table summarizes our cash flows from operating, investingwar, acts of terrorism and financing activities, excluding amounts relatedpolitical instability. Catastrophes can also cause losses in non-property business such as mortgage insurance, workers’ compensation or general liability. In addition to the ‘other’ segment (i.e., Watford Re)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.
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 tangible shareholders’ equity available to Arch (total shareholders’ equity available to Arch less goodwill and intangible assets). See Note 3, “Variable Interest Entities,”We reserve the right to change this threshold at any time.
Based on in-force exposure estimated as of October 1, 2023, our modeled peak zone catastrophe exposure was a windstorm affecting the Florida Tri-County regions, with a net probable maximum pre-tax loss of $1.47 billion, followed by windstorms affecting the Northeastern U.S. regions and the Gulf of Mexico with net probable maximum pre-tax losses of $1.41 billion and $1.35 billion, 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. As of October 1, 2023, our modeled peak zone earthquake exposure (San Francisco earthquake) represented approximately 57% of our peak zone catastrophe exposure, and our modeled peak zone international exposure (UK 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 cash flows related to Watford Re.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.
 Nine Months Ended
 September 30,
 2017 2016
Total cash provided by (used for): 
  
Operating activities$860,197
 $831,086
Investing activities(486,201) (1,131,147)
Financing activities(348,337) 372,393
Effects of exchange rate changes on foreign currency cash11,492
 (5,322)
Increase (decrease) in cash$37,151
 $67,010
Currently, we seek to limit our modeled RDS loss from a severe economic event to approximately 25% of tangible shareholders’ equity available to Arch. We reserve the right to change this threshold at any time. Based on in-force exposure estimated as of October 1, 2023, our modeled RDS loss was approximately 10% of tangible shareholders’ equity available to Arch.
CashNet 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 before 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 tangible shareholders’ equity from one or more catastrophic events or severe economic events due to several factors. These factors include 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 operating activities forclients and brokers, the nine months ended September 30, 2017 was higher than inmodeling techniques and the 2016 period, primarily reflecting higher premiums collected, partially offset byapplication of such techniques or as a higher levelresult of paid losses.
Cash used for investing activities fora decision to change the nine months ended September 30, 2017 was lower than in the 2016 period, reflecting changes in cash collateral relatedpercentage of shareholders' equity exposed to securities lending.a single catastrophic event or severe economic event. In addition, activity foractual losses may increase if our reinsurers fail to meet their obligations to us or the 2017 period reflected higher net sales of investments than in the 2016 period.
Cash used for financing activities for the nine months ended September 30, 2017 was higher than the cash provided in the 2016 period, reflecting changes in cash collateral relatedreinsurance protections purchased by us are exhausted or are otherwise unavailable. See “Risk Factors—Risks Relating to securities lendingOur Industry” and a $100.0 million paydown of revolving credit agreement borrowings. Activity for the 2016 period reflected a $434.9 million inflow from the issuance of preferred shares and $75.3 million of repurchases under our share repurchase program.
At September 30, 2017, our investable assets were $19.70 billion (excluding the $2.30 billion of investable assets related to the ‘other’ segment). Our unfunded investment commitments totaled approximately $1.58 billion at September 30, 2017. Please refer to Item 1A “Risk Factors” of our 2016 Form 10-K for a discussion of other risks relating to our business and investment portfolio.
We expect that our liquidity needs, including our anticipated (re)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.
Off-Balance Sheet Arrangements
Off-balance sheet arrangements are discussed in Management’s“Management’s Discussion and Analysis of Financial Condition and Results of Operations containedOperations—Catastrophic Events and Severe Economic Events” in our 20162022 Form 10-K.
Market Sensitive Instruments and Risk Management
ARCH CAPITAL 602023 THIRD QUARTER FORM 10-Q

Table of Contents
MARKET SENSITIVE INSTRUMENTS AND RISK MANAGEMENT
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 September 30, 2017.2023. Market risk represents the risk of changes in the fair value of a financial instrument and is comprised of several components, including liquidity, basis and price risks. We have not included Watford Re in the following analyses as we do not guarantee or provide credit support for Watford Re, and our financial exposure to Watford Re is limited to our investment in Watford Re’s common and preferred shares and counterparty credit risk (mitigated by collateral) arising from reinsurance transactions.
An analysis of material changes in market risk exposures at September 30, 20172023 that affect the quantitative and qualitative disclosures presented in our 20162022 Form 10-K (see section captioned “Management’s Discussion and Analysis of Financial Condition and Results of Operations—Market Sensitive Instruments and Risk Management”) were as follows: 
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 fair 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 fair 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.

ACGL 2017 THIRD QUARTER FORM 10-Q72


The following table summarizes the effect that an immediate, parallel shift in the interest rate yield curve would have had on our fixed income securities:Fixed Income Securities:
(U.S. dollars in 
billions)
Interest Rate Shift in Basis Points
-100-50+50+100
September 30, 2023    
Total fair value$31.2 $30.7 $30.3 $29.8 $29.4 
Change from base3.0 %1.5 %(1.5)%(2.9)%
Change in unrealized value$0.9 $0.5 $(0.5)$(0.9)
December 31, 2022
Total fair value$27.2 $26.8 $26.4 $26.0 $25.7 
Change from base2.9 %1.4 %(1.4)%(2.7)%
Change in unrealized value$0.8 $0.4 $(0.4)$(0.7)
(U.S. dollars in 
billions)
Interest Rate Shift in Basis Points
-100 -50  +50 +100
Sep. 30, 2017 
  
  
  
  
Total fair value$18.95
 $18.64
 $18.35
 $18.07
 $17.79
Change from base3.3% 1.6%   (1.5)% (3.0)%
Change in unrealized value$0.61
 $0.29
   $(0.28) $(0.55)
          
Dec. 31, 2016         
Total fair value$17.95
 $17.62
 $17.31
 $17.00
 $16.70
Change from base3.7% 1.8%   (1.8)% (3.5)%
Change in unrealized value$0.64
 $0.31
   $(0.31) $(0.61)
In addition, we consider the effect of credit spread movements on the fairmarket value of our 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 our fixed income securities:Fixed Income Securities:
(U.S. dollars in
billions)
Credit Spread Shift in Percentage Points(U.S. dollars in
billions)
Credit Spread Shift in Percentage Points
-100 -50  +50 +100-100-50+50+100
Sep. 30, 2017 
  
  
  
  
September 30, 2023September 30, 2023
Total fair value$18.73
 $18.55
 $18.35
 $18.14
 $17.96
Total fair value$31.5 $30.9 $30.3 $29.7 $29.0 
Change from base2.1% 1.1%   (1.1)% (2.1)%Change from base4.0 %2.0 %(2.0)%(4.0)%
Change in unrealized value$0.39
 $0.20
   $(0.20) $(0.39)Change in unrealized value$1.2 $0.6 $(0.6)$(1.2)
         
Dec. 31, 2016         
December 31, 2022December 31, 2022
Total fair value$17.79
 $17.55
 $17.31
 $17.07
 $16.83
Total fair value$27.5 $26.9 $26.4 $25.9 $25.3 
Change from base2.8% 1.4%   (1.4)% (2.8)%Change from base4.1 %2.0 %(2.0)%(4.1)%
Change in unrealized value$0.48
 $0.24
   $(0.24) $(0.48)Change in unrealized value$1.1 $0.5 $(0.5)$(1.1)
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 percentage of the portfolio’s initial value. In other words,given confidence level. The 1-year 95th 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 September 30, 2017,2023, our portfolio’s 95th percentile VaR was estimated to be 3.76%7.4%, compared to an estimated 3.75%8.8% at December 31, 2016.
2022. 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. At September 30, 20172023 and December 31, 2016,2022, the fair value of our investments in equity securities and certain investments accounted for using the equity method with underlying equity strategies totaled $546.0$766 million and $558.0$791 million, respectively. These investments are exposed to price risk, which is the potential loss arising from decreases in fair value. An immediate hypothetical 10% decline in the value of each position would reduce the fair
ARCH CAPITAL 612023 THIRD QUARTER FORM 10-Q

value of such investments by approximately $54.6$77 million and $55.8$79 million at September 30, 20172023 and December 31, 2016,2022, respectively, and would have decreased book value per common share by approximately $0.40$0.21 and $0.41,$0.21, respectively. An immediate hypothetical 10% increase in the value of each position would increase the fair value of such investments by approximately $54.6$77 million and $55.8$79 million at September 30, 20172023 and December 31, 2016,2022, respectively, and would have increased book value per common share by approximately $0.40$0.21 and $0.41,$0.21, respectively.
Investment-Related Derivatives. At September 30, 2017,2023, 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 $3.06$4.7 billion, compared to $2.12$6.6 billion at December 31, 2016.2022. If the underlying exposure of each investment-related derivative held at September 30, 20172023 depreciated by 100 basis points, it would have resulted in a reduction in net income of approximately $30.6$47 million, and a decrease in book value per common share of approximately $0.22$0.13 per share, compared to $21.2$66 million and $0.16$0.18 per share, respectively, on investment-related derivatives held at December 31, 2016.2022. If the underlying exposure of each investment-related derivative held at September 30, 20172023 appreciated by 100 basis points, it would have resulted in an increase in net income of approximately $30.6$47 million, and an increase in book value per common share of approximately $0.22$0.13 per share, compared to $21.2$66 million and $0.16$0.18 per share, respectively, on investment-related derivatives held at December 31, 2016.2022. See note 9, “Derivative Instruments,” of the notes accompanying to our consolidated financial statements for additional disclosures concerning derivatives.
For further discussion on investment activity, please refer to “Financial Condition—Investable Assets.”
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 andliabilities. We may also utilize foreign currency forward contracts and currency options as part of our investment strategy. From time to time, we may elect to over or underweight one or more currencies, which could increase our exposure to

ACGL 2017 THIRD QUARTER FORM 10-Q73


foreign currency fluctuations and increase the volatility of our shareholders’ equity.
For further discussion on foreign exchange activity, please refer to “—Results of Operations” and note 9, “Derivative Instruments,” of the notes accompanying to our consolidated financial statements.statements for additional information.
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:
September 30,
2023
December 31,
2022
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(409)$(396)
Shareholders’ equity denominated in foreign currencies (1)1,084 1,056 
Net foreign currency forward contracts outstanding (2)312 
Net exposures denominated in foreign currencies$679 $972 
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$(68)$(97)
Book value per share$(0.18)$(0.26)
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies:  
Shareholders’ equity$68 $97 
Book value per share$0.18 $0.26 
(U.S. dollars in thousands, except 
per share data)
September 30,
2017
 December 31,
2016
Net assets (liabilities), denominated in foreign currencies, excluding shareholders’ equity and derivatives$(713,065) $(63,077)
Shareholders’ equity denominated in foreign currencies (1)356,048
 290,752
Net foreign currency forward contracts outstanding (2)(191,878) (250,263)
Net exposures denominated in foreign currencies$(548,895) $(22,588)
    
Pre-tax impact of a hypothetical 10% appreciation of the U.S. Dollar against foreign currencies: 
  
Shareholders’ equity$54,890
 $2,259
Book value per common share$0.40
 $0.02
    
Pre-tax impact of a hypothetical 10% decline of the U.S. Dollar against foreign currencies: 
  
Shareholders’ equity$(54,890) $(2,259)
Book value per common share$(0.40) $(0.02)
(1)    Represents capital contributions held in the foreign currencies of our operating units.
(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.
(2)    Represents the net notional value of outstanding foreign currency forward contracts.
Although we generally attempt to match the currency of our projected liabilities with investments in the same currencies, from time to time we may elect to over or underweight one or more currencies, which could increase our exposure to foreign currency fluctuations and increase the volatility of our 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.”
Other Financial InformationEffects of Inflation
General economic inflation has increased in recent quarters and may continue to remain at elevated levels for an extended period of time. The consolidated financial statements as of September 30, 2017 andpotential also exists, after a catastrophe loss or pandemic events like COVID-19, for the three month and nine month periods ended September 30, 2017 and 2016development of inflationary pressures in a local economy. This may have been reviewed by PricewaterhouseCoopers LLP, the registrant's independent public accountants, whose report is included as an exhibit to this filing. The report of PricewaterhouseCoopers LLP states that they did not audit and they do not express an opinion on that unaudited financial information. Accordingly, the degree of reliance on their report on such information should be restricted in light of the limited nature of the review procedures applied. PricewaterhouseCoopers LLP is not subject to the
liability provisions of Section 11 of the Securities Act of 1933 for their reporta material effect on the unaudited financial information because that report is not a "report" or a "part"adequacy of our reserves for losses and loss adjustment expenses, especially in longer-tailed lines of business, and on the registration statement prepared or certifiedmarket value of our investment portfolio through rising interest rates. The anticipated effects of inflation are considered 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 ultimately settled and will vary by PricewaterhouseCoopers LLP within the meaningspecific type of Sections 7 and 11inflation affecting each line of the Securities Act of 1933.business.

ARCH CAPITAL 622023 THIRD QUARTER FORM 10-Q

Table of Contents
ACGL 2017 THIRD QUARTER FORM 10-Q74



ITEM 3. 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 Operations,” which information is hereby incorporated by reference.

ITEM 4. CONTROLS AND PROCEDURES
Evaluation of Disclosure Controls and Procedures
In connection with the filing of this Form 10-Q, our management, including the Chief Executive Officer and Chief Financial Officer, conducted an evaluation, of the effectiveness of disclosure controls and procedures pursuant to applicable Exchange Act Rules as of the end of the period covered by this report.report, 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 were effective as of the end of and during the period covered by this report with respect to information being recorded, processed, summarized and reported within time periods specified in the SEC’s rules and forms and with respect to timely communication to them and other members of management responsible for preparing periodic reports of all material information required to be disclosed in this report as it relates to ACGLArch Capital and its consolidated subsidiaries.
We continue to enhance our operating procedures and internal controls 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
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.
Changes in Internal Controls Over Financial Reporting
We acquired all of the issued and outstanding capital stock of UGC on December 31, 2016. As allowed under SEC guidance, management’s assessment of and conclusion regarding the design and operating effectiveness of internal control over financial reporting excluded the internal control over financial reporting of UGC, which is relevant to the Company’s consolidated financial statements as of and for the nine months ended September 30, 2017. UGC represents 14% of total assets as of September 30, 2017 and 13% of our total revenues for the nine months ended September 30, 2017. The financial reporting systems of UGC have not yet been fully integrated into our financial reporting systems and, as such, we did not have the practical ability to perform an assessment of UGC’s internal control over financial reporting in time for the current quarter-end. Management expects to complete the process of integrating UGC’s internal control over financial reporting during the 2017 fourth quarter. The UGC acquisition represents a material change in internal control over financial reporting as defined in Exchange Act Rule 13a-15(f) for the nine months ended September 30, 2017.
There have been no changes in internal control over financial reporting that occurred during the quarter ended September 30, 20172023 that have materially affected, or are reasonably likely to materially affect, internal control over financial reporting, other than the UGC acquisition as described in the preceding paragraph.
reporting. We have not experienced any material impact to our internal controls over financial reporting.

ACGL 2017 THIRD QUARTER FORM 10-Q75


PART II. OTHER INFORMATION

ITEM 1. 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 September 30, 2017,2023, 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 1A. RISK FACTORS
There were no material changes from the risk factors previously disclosed in our Annual Report on Form 10-K for the year ended December 31, 2016.2022.

ARCH CAPITAL 632023 THIRD QUARTER FORM 10-Q

ACGL 2017 THIRD QUARTER FORM 10-Q76



ITEM 2. UNREGISTERED SALES OF EQUITY SECURITIES AND USE OF PROCEEDS
Issuer’s Repurchases of Equity Securities
The following table summarizes our purchases of our common shares for the 20172023 third quarter:
PeriodTotal Number of Shares
Purchased (1)
Average Price Paid per ShareTotal 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 ($000’s) (2)
7/1/2023-7/31/20236,197 $77.42 — $1,000,000 
8/1/2023-8/31/2023480 76.55 — $1,000,000 
9/1/2023-9/30/2023636 77.23 — $1,000,000 
Total7,313 $77.35 — 
(1)This column represents (in whole shares) open market share repurchases, including an aggregate of 6,197, 480 and 636 shares repurchased by Arch Capital during July, August and September, respectively, other than through publicly announced plans or programs. We repurchased these shares from employees in order to facilitate the payment of withholding taxes on restricted shares granted and the exercise of stock appreciation rights, in each case at their fair 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)This column represents the remaining approximate dollar amount available at the end of each applicable period under Arch Capital’s $1.0 billion share repurchase authorization, authorized by the Board of Directors of ACGL on December 19, 2022. Repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2024.
  Issuer Purchases of Equity Securities
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)
7/1/2017 - 7/31/2017 4,414
 $94.39
 
 $446,501
8/1/2017 - 8/31/2017 4,074
 96.99
 
 $446,501
9/1/2017 - 9/30/2017 15,618
 95.38
 
 $446,501
Total 24,106
 $95.47
 
 $446,501
(1)Represents repurchases by ACGL 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 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.
ITEM 3. DEFAULTS UPON SENIOR SECURITIES
(2)Remaining amount available at September 30, 2017 under ACGL’s share repurchase authorization, under which repurchases may be effected from time to time in open market or privately negotiated transactions through December 31, 2019.

None.
ITEM 4. MINE SAFETY DISCLOSURES
Not applicable.
ITEM 5. OTHER INFORMATION
In accordance with Section 10a(i)(2)During the three months ended September 30, 2023, none of the Company’s directors or officers (as defined in Rule 16a-1(f) of the Securities Exchange Act of 1934, as amended, we1934) adopted or terminated a Rule 10b5-1 trading arrangement or non-Rule 10b5-1 trading arrangement (as such terms are responsible for disclosing non-audit services to be provided by our independent auditor, PricewaterhouseCoopers LLP, which are approved by the Audit Committeedefined in Item 408 of our board of directors. During the 2017 third quarter, the Audit Committee approved engagements of PricewaterhouseCoopers LLP for permitted non-audit services, which consisted of tax consulting services, tax compliance services and other accounting consulting services.
Disclosure of Certain Activities Under Section 13(r)Regulation S-K of the Securities Exchange Act of 19341933).


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.
Effective January 16, 2016, the Office of Foreign Assets Control of the U.S. Department of the Treasury adopted General License H which authorizes non-U.S. entities that are owned or controlled by a U.S. person to engage in certain activities with Iran so long as they comply with certain specific requirements set forth therein.
Certain of our non-U.S. subsidiaries provide global marine policies that provide coverage for vessels navigating into and out of ports worldwide. In light of European Union and U.S. modifications to Iran sanctions this year, including the issuance of General License H, and consistent with General License H, we have been notified that certain of our policyholders have begun to, or will begin to, ship cargo to and from Iran, and that such cargo may include transporting crude oil from Iran to another country. Since these policies insure multiple voyages and fleets containing multiple ships, we are unable to attribute gross revenues and net profits from such marine policies to these activities involving Iran. We intend for our non-U.S. subsidiaries to continue to provide such coverage to the extent permitted by applicable law.


ARCH CAPITAL 642023 THIRD QUARTER FORM 10-Q

ACGL 2017 THIRD QUARTER FORM 10-Q77



ITEM 6. EXHIBITS
Exhibit No.Incorporated by ReferenceDescription
Exhibit NumberExhibit DescriptionFormOriginal NumberDate FiledFiled Herewith
10.1(1)
X
10.2(1)
8-K10.1October 2, 2023
10.3(1)
8-K10.1October 30, 2023
31.1
X
X
X
X
101The following financial information from Arch Capital Group Ltd.’s Quarterly Report for the quarter ended September 30, 2017 formatted in XBRL: (i) Consolidated Balance Sheets at September 30, 2017 and December 31, 2016; (ii) Consolidated Statements of Income for the three and nine month periods ended September 30, 2017 and 2016; (iii) Consolidated Statements of Comprehensive Income for the three and nine month periods ended September 30, 2017 and 2016; (iv) Consolidated Statements of Changes in Shareholders’ Equity for the nine month periods ended September 30, 2017 and 2016; (v) Consolidated Statements of Cash Flows for the nine month periods ended September 30, 2017 and 2016; and (vi) Notes to Consolidated Financial Statements.
101.INSXBRL Instance Document
101.SCHManagement contract or compensatory plan or arrangement.XBRL Taxonomy Extension Schema Document
101.CALXBRL Taxonomy Extension Calculation Linkbase Document
101.DEFXBRL Taxonomy Extension Definition Linkbase Document
101.LABXBRL Taxonomy Extension Label Linkbase Document
101.PREXBRL Taxonomy Extension Presentation Linkbase Document
104Cover Page Interactive Data File (embedded within the Inline XBRL document)
(1) Certain schedules and exhibits have been omitted pursuant to Item 601(b)(10) of Regulation S-K. The Company hereby undertakes to furnish supplemental copies of any of the omitted schedules and exhibits to the SEC upon request.





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SIGNATURES
Pursuant to the requirements 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)
/s/ Constantine IordanouMarc Grandisson
Date: November 3, 20179, 2023Constantine IordanouMarc Grandisson
Chief Executive Officer (Principal Executive Officer) and Chairman of the Board of Directors
/s/ Mark D. LyonsFrançois Morin
Date: November 3, 20179, 2023Mark D. LyonsFrançois Morin
Executive Vice President, Chief Financial Officer and Treasurer (Principal Financial and Accounting Officer) and Treasurer

ARCH CAPITALACGL 2017 662023 THIRD QUARTER FORM 10-Q79