UNITED STATES

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 10-Q

☒ Quarterly report pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 for the quarterly period ended ~~March 31,~~September 30, 2021

☐ Transition report pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934 for the transition period from _______ to _______

Commission File Number: 001-15811

MARKEL CORPORATION

(Exact name of registrant as specified in its charter)


Virginia						54-1959284
(State or other jurisdiction of incorporation or organization)						(I.R.S. Employer Identification No.)

4521 Highwoods Parkway, Glen Allen, Virginia 23060-6148

(Address of principal executive offices) (Zip Code)

(804) 747-0136

(Registrant's telephone number, including area code)

Securities registered pursuant to Section 12(b) of the Act:

Title of each class

Trading Symbol(s)

Name of exchange on which registered

Common Stock, no par value

MKL

New York Stock Exchange

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 x No ☐

Indicate by check mark whether the registrant has submitted electronically every Interactive Data File required to be submitted pursuant to Rule 405 of Regulation S-T (§232.405 of this chapter) during the preceding 12 months (or for such shorter period that the registrant was required to submit such files). Yes x No ☐

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

Large accelerated filer

Accelerated filer

☐

Non-accelerated filer

☐

Smaller reporting company

☐

Emerging growth company

☐

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

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

Number of shares of the registrant's common stock outstanding at ~~April 21,~~October 26, 2021: ~~13,758,155~~13,668,248

Table of Contents

Markel Corporation

Form 10-Q

Index


		Page Number
PART I. FINANCIAL INFORMATION

Item 1.	Financial Statements

	Consolidated Balance Sheets—~~March~~ 3 1 ~~, 202~~1 September 30, 2021 and December 31, 20 202020	3

	Consolidated Statements of Income (Loss) and Comprehensive Income ~~(Loss)~~—Quarters and —~~Three~~Nine Months Ended ~~March~~September 31 ~~, 202~~1 30, 2021 and 20 202020	4

	Consolidated Statements of Changes in Equity—~~Thre~~eQuarters and Nine Months Ended ~~March 31~~, September 30, 2021 and 2020	5

	Condensed Consolidated Statements of Cash Flows—~~Three~~Nine Months Ended ~~March 31,~~September 30, 2021 and 2020	67

	Notes to Consolidated Financial Statements	78

Item 2.	Management's Discussion and Analysis of Financial Condition and Results of Operations	2430

Item 3.	Quantitative and Qualitative Disclosures About Market Risk	4152

Item 4.	Controls and Procedures	4152

PART II. OTHER INFORMATION

Item 1.	Legal Proceedings	4253

Item 2.	Unregistered Sales of Equity Securities and Use of Proceeds	4254

Item 6.	Exhibits	4355

Signatures		4557

Table of Contents

PART I. FINANCIAL INFORMATION

Item 1. Financial Statements

MARKEL CORPORATION AND SUBSIDIARIES

CONSOLIDATED BALANCE SHEETS


		March 31, 2021		December 31, 2020			September 30, 2021		December 31, 2020
(dollars in thousands)	(dollars in thousands)	(unaudited)				(dollars in thousands)	(unaudited)
ASSETS	ASSETS					ASSETS
Investments, at estimated fair value:	Investments, at estimated fair value:					Investments, at estimated fair value:
Fixed maturity securities, available-for-sale (amortized cost of $10,119,406 in 2021 and $9,655,261 in 2020)		$	10,828,145	$	10,681,734
Equity securities (cost of $2,758,061 in 2021 and $2,732,998 in 2020)		7,528,817		6,994,110
Fixed maturity securities, available-for-sale (amortized cost of $11,324,144 in 2021 and $9,655,261 in 2020)						Fixed maturity securities, available-for-sale (amortized cost of $11,324,144 in 2021 and $9,655,261 in 2020)	$	11,962,587	$	10,681,734
Equity securities (cost of $2,823,310 in 2021 and $2,732,998 in 2020)						Equity securities (cost of $2,823,310 in 2021 and $2,732,998 in 2020)	8,220,874		6,994,110
Short-term investments, available-for-sale (estimated fair value approximates cost)	Short-term investments, available-for-sale (estimated fair value approximates cost)	2,736,982		2,034,099		Short-term investments, available-for-sale (estimated fair value approximates cost)	2,757,798		2,034,099
Total Investments	Total Investments	21,093,944		19,709,943		Total Investments	22,941,259		19,709,943
Cash and cash equivalents	Cash and cash equivalents	3,882,379		4,341,736		Cash and cash equivalents	3,938,626		4,341,736
Restricted cash and cash equivalents	Restricted cash and cash equivalents	615,525		874,913		Restricted cash and cash equivalents	568,385		874,913
Receivables	Receivables	2,254,424		1,930,211		Receivables	2,320,987		1,930,211
Reinsurance recoverables	Reinsurance recoverables	6,188,894		5,989,337		Reinsurance recoverables	6,944,636		5,989,337
Deferred policy acquisition costs	Deferred policy acquisition costs	722,865		630,794		Deferred policy acquisition costs	772,127		630,794
Prepaid reinsurance premiums	Prepaid reinsurance premiums	1,477,997		1,451,858		Prepaid reinsurance premiums	1,920,184		1,451,858
Goodwill	Goodwill	2,604,820		2,604,624		Goodwill	2,695,164		2,604,624
Intangible assets	Intangible assets	1,736,148		1,782,718		Intangible assets	1,719,609		1,782,718
Other assets	Other assets	2,466,033		2,393,920		Other assets	2,875,459		2,393,920
Total Assets	Total Assets	$	43,043,029	$	41,710,054	Total Assets	$	46,696,436	$	41,710,054
LIABILITIES AND EQUITY	LIABILITIES AND EQUITY					LIABILITIES AND EQUITY
Unpaid losses and loss adjustment expenses	Unpaid losses and loss adjustment expenses	$	16,600,500	$	16,222,376	Unpaid losses and loss adjustment expenses	$	17,611,199	$	16,222,376
Life and annuity benefits	Life and annuity benefits	977,647		1,069,986		Life and annuity benefits	925,958		1,069,986
Unearned premiums	Unearned premiums	4,838,032		4,433,245		Unearned premiums	5,511,392		4,433,245
Payables to insurance and reinsurance companies	Payables to insurance and reinsurance companies	561,155		493,470		Payables to insurance and reinsurance companies	579,905		493,470
Senior long-term debt and other debt (estimated fair value of $4,096,000 in 2021 and $4,367,000 in 2020)		3,564,949		3,484,023
Senior long-term debt and other debt (estimated fair value of $4,956,000 in 2021 and $4,367,000 in 2020)						Senior long-term debt and other debt (estimated fair value of $4,956,000 in 2021 and $4,367,000 in 2020)	4,268,290		3,484,023
Other liabilities	Other liabilities	3,080,928		2,946,631		Other liabilities	3,527,555		2,946,631
Total Liabilities	Total Liabilities	29,623,211		28,649,731		Total Liabilities	32,424,299		28,649,731
Redeemable noncontrolling interests	Redeemable noncontrolling interests	234,654		245,642		Redeemable noncontrolling interests	231,912		245,642
Commitments and contingencies	Commitments and contingencies	0		0		Commitments and contingencies	0		0
Shareholders' equity:	Shareholders' equity:					Shareholders' equity:
Preferred stock	Preferred stock	591,891		591,891		Preferred stock	591,891		591,891
Common stock	Common stock	3,447,614		3,428,340		Common stock	3,455,129		3,428,340
Retained earnings	Retained earnings	8,754,760		8,195,182		Retained earnings	9,650,355		8,195,182
Accumulated other comprehensive income	Accumulated other comprehensive income	369,679		584,376		Accumulated other comprehensive income	319,389		584,376
Total Shareholders' Equity	Total Shareholders' Equity	13,163,944		12,799,789		Total Shareholders' Equity	14,016,764		12,799,789
Noncontrolling interests	Noncontrolling interests	21,220		14,892		Noncontrolling interests	23,461		14,892
Total Equity	Total Equity	13,185,164		12,814,681		Total Equity	14,040,225		12,814,681
Total Liabilities and Equity	Total Liabilities and Equity	$	43,043,029	$	41,710,054	Total Liabilities and Equity	$	46,696,436	$	41,710,054

See accompanying notes to consolidated financial statements.

Table o f of Contents

MARKEL CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF INCOME (LOSS) AND COMPREHENSIVE INCOME ~~(LOSS)~~

(Unaudited)


		Three Months Ended March 31,			Quarter Ended September 30,						Nine Months Ended September 30,
			2021			2020			2021		2020		2021		2020
(dollars in thousands, except per share data)	(dollars in thousands, except per share data)							(dollars in thousands, except per share data)
OPERATING REVENUES	OPERATING REVENUES							OPERATING REVENUES
Earned premiums	Earned premiums		$	1,497,695		$	1,330,709	Earned premiums	$	1,630,500	$	1,394,428	$	4,696,232	$	4,085,311
Net investment income	Net investment income		96,570			88,243		Net investment income	91,264		90,384		284,095		274,242
Net investment gains (losses)	Net investment gains (losses)		526,871			(1,681,441)		Net investment gains (losses)	(25,833)		539,302		1,175,791		(230,896)
Products revenues	Products revenues		328,832			352,161		Products revenues	405,711		342,039		1,327,144		1,117,781
Services and other revenues	Services and other revenues		450,226			245,994		Services and other revenues	585,712		545,582		1,605,058		1,132,978
Total Operating Revenues	Total Operating Revenues		2,900,194			335,666		Total Operating Revenues	2,687,354		2,911,735		9,088,320		6,379,416
OPERATING EXPENSES	OPERATING EXPENSES							OPERATING EXPENSES
Losses and loss adjustment expenses	Losses and loss adjustment expenses		879,918			1,076,348		Losses and loss adjustment expenses	948,241		863,247		2,643,114		2,652,811
Underwriting, acquisition and insurance expenses	Underwriting, acquisition and insurance expenses		526,743			495,163		Underwriting, acquisition and insurance expenses	569,756		492,824		1,644,863		1,477,349
Products expenses	Products expenses		296,526			314,071		Products expenses	374,407		296,371		1,173,135		974,925
Services and other expenses	Services and other expenses		412,097			217,556		Services and other expenses	513,994		522,237		1,442,342		1,024,733
Amortization of intangible assets	Amortization of intangible assets		39,553			37,858		Amortization of intangible assets	39,268		44,664		118,550		120,276

Total Operating Expenses	Total Operating Expenses		2,154,837			2,140,996		Total Operating Expenses	2,445,666		2,219,343		7,022,004		6,250,094
Operating Income (Loss)			745,357			(1,805,330)
Operating Income								Operating Income	241,688		692,392		2,066,316		129,322
Interest expense	Interest expense		(42,389)			(45,030)		Interest expense	(46,455)		(42,744)		(135,412)		(133,201)
Net foreign exchange gains			25,084			78,301
Net foreign exchange gains (losses)								Net foreign exchange gains (losses)	48,850		(65,577)		61,677		(8,736)

Income (Loss) Before Income Taxes	Income (Loss) Before Income Taxes		728,052			(1,772,059)		Income (Loss) Before Income Taxes	244,083		584,071		1,992,581		(12,615)
Income tax (expense) benefit			(148,371)			370,683
Income tax expense								Income tax expense	(54,415)		(130,028)		(419,898)		(3,047)
Net Income (Loss)	Net Income (Loss)		579,681			(1,401,376)		Net Income (Loss)	189,668		454,043		1,572,683		(15,662)
Net income attributable to noncontrolling interests	Net income attributable to noncontrolling interests		(5,987)			(4,387)		Net income attributable to noncontrolling interests	(1,598)		(1,317)		(18,809)		(15,607)
Net Income (Loss) to Shareholders	Net Income (Loss) to Shareholders		573,694			(1,405,763)		Net Income (Loss) to Shareholders	188,070		452,726		1,553,874		(31,269)
Preferred stock dividends	Preferred stock dividends		0			0		Preferred stock dividends	—		—		(18,000)		—

Net Income (Loss) to Common Shareholders	Net Income (Loss) to Common Shareholders		$	573,694		$	(1,405,763)	Net Income (Loss) to Common Shareholders	$	188,070	$	452,726	$	1,535,874	$	(31,269)

OTHER COMPREHENSIVE INCOME (LOSS)	OTHER COMPREHENSIVE INCOME (LOSS)							OTHER COMPREHENSIVE INCOME (LOSS)
Change in net unrealized gains on available-for-sale investments, net of taxes:	Change in net unrealized gains on available-for-sale investments, net of taxes:							Change in net unrealized gains on available-for-sale investments, net of taxes:
Net holding gains (losses) arising during the period	Net holding gains (losses) arising during the period		$	(214,376)		$	64,377	Net holding gains (losses) arising during the period	$	(104,238)	$	64,449	$	(262,679)	$	301,487

Reclassification adjustments for net gains (losses) included in net income (loss)	Reclassification adjustments for net gains (losses) included in net income (loss)		(88)			1,187		Reclassification adjustments for net gains (losses) included in net income (loss)	224		(3,362)		(3,807)		(3,560)
Change in net unrealized gains on available-for-sale investments, net of taxes	Change in net unrealized gains on available-for-sale investments, net of taxes		(214,464)			65,564		Change in net unrealized gains on available-for-sale investments, net of taxes	(104,014)		61,087		(266,486)		297,927
Change in foreign currency translation adjustments, net of taxes	Change in foreign currency translation adjustments, net of taxes		(808)			(12,734)		Change in foreign currency translation adjustments, net of taxes	(4,437)		5,756		(330)		(8,383)
Change in net actuarial pension loss, net of taxes	Change in net actuarial pension loss, net of taxes		592			0		Change in net actuarial pension loss, net of taxes	586		538		1,832		1,422
Total Other Comprehensive Income (Loss)	Total Other Comprehensive Income (Loss)		(214,680)			52,830		Total Other Comprehensive Income (Loss)	(107,865)		67,381		(264,984)		290,966
Comprehensive Income (Loss)			365,001			(1,348,546)
Comprehensive Income								Comprehensive Income	81,803		521,424		1,307,699		275,304
Comprehensive income attributable to noncontrolling interests	Comprehensive income attributable to noncontrolling interests		(6,004)			(4,263)		Comprehensive income attributable to noncontrolling interests	(1,567)		(1,335)		(18,812)		(15,631)
Comprehensive Income (Loss) to Shareholders			$	358,997		$	(1,352,809)
Comprehensive Income to Shareholders								Comprehensive Income to Shareholders	$	80,236	$	520,089	$	1,288,887	$	259,673

NET INCOME (LOSS) PER COMMON SHARE	NET INCOME (LOSS) PER COMMON SHARE							NET INCOME (LOSS) PER COMMON SHARE
Basic	Basic		$	42.09		$	(100.60)	Basic	$	15.12	$	31.07	$	114.39	$	(3.76)
Diluted	Diluted		$	42.02		$	(100.60)	Diluted	$	15.09	$	31.03	$	114.20	$	(3.76)

See accompanying notes to consolidated financial statements.

Table o f of Contents

MARKEL CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CHANGES IN EQUITY

(Unaudited)


Three Months Ended March 31, 2021		Preferred Stock		Common Stock		Retained Earnings		Accumulated Other Comprehensive Income		Total Shareholders' Equity		Noncontrolling Interests		Total Equity		Redeemable Noncontrolling Interests
Quarter Ended September 30, 2021																		Quarter Ended September 30, 2021	Preferred Stock		Common Stock		Retained Earnings		Accumulated Other Comprehensive Income		Total Shareholders' Equity		Noncontrolling Interests		Total Equity		Redeemable Noncontrolling Interests
(dollars in thousands)	(dollars in thousands)																	(dollars in thousands)
December 31, 2020		$	591,891	$	3,428,340	$	8,195,182	$	584,376	$	12,799,789	$	14,892	$	12,814,681	$	245,642
Net income (loss)						573,694		0		573,694		6,675		580,369		(688)
Other comprehensive income (loss)						0		(214,697)		(214,697)		0		(214,697)		17
Comprehensive Income (Loss)										358,997		6,675		365,672		(671)

June 30, 2021																		June 30, 2021	$	591,891	$	3,451,968	$	9,503,889	$	427,223	$	13,974,971	$	23,078	$	13,998,049	$	228,401
Net income																		Net income					188,070		—		188,070		558		188,628		1,040
Other comprehensive loss																		Other comprehensive loss					—		(107,834)		(107,834)		—		(107,834)		(31)
Comprehensive Income																		Comprehensive Income									80,236		558		80,794		1,009
Repurchase of common stock	Repurchase of common stock	0		0		(22,023)		0		(22,023)		0		(22,023)		0		Repurchase of common stock	—		—		(61,551)		—		(61,551)		—		(61,551)		—

Restricted stock units expensed	Restricted stock units expensed	0		19,160		0		0		19,160		0		19,160		0		Restricted stock units expensed	—		4,181		—		—		4,181		—		4,181		—

Acquisition of Buckner																		Acquisition of Buckner	—		—		—		—		—		—		—		26,438
Adjustment of redeemable noncontrolling interests	Adjustment of redeemable noncontrolling interests	0		0		7,906		0		7,906		0		7,906		(7,906)		Adjustment of redeemable noncontrolling interests	—		—		19,930		—		19,930		—		19,930		(19,930)
Purchase of noncontrolling interest	Purchase of noncontrolling interest	0		(531)		0		0		(531)		0		(531)		(147)		Purchase of noncontrolling interest	—		(1,020)		—		—		(1,020)		—		(1,020)		(1,032)
Other	Other	0		645		1		0		646		(347)		299		(2,264)		Other	—		—		17		—		17		(175)		(158)		(2,974)
March 31, 2021		$	591,891	$	3,447,614	$	8,754,760	$	369,679	$	13,163,944	$	21,220	$	13,185,164	$	234,654
September 30, 2021																		September 30, 2021	$	591,891	$	3,455,129	$	9,650,355	$	319,389	$	14,016,764	$	23,461	$	14,040,225	$	231,912


Three Months Ended March 31, 2020		Preferred Stock		Common Stock		Retained Earnings		Accumulated Other Comprehensive Income		Total Shareholders' Equity		Noncontrolling Interests		Total Equity		Redeemable Noncontrolling Interests
Nine Months Ended September 30, 2021																		Nine Months Ended September 30, 2021	Preferred Stock		Common Stock		Retained Earnings		Accumulated Other Comprehensive Income		Total Shareholders' Equity		Noncontrolling Interests		Total Equity		Redeemable Noncontrolling Interests
(dollars in thousands)	(dollars in thousands)																	(dollars in thousands)
December 31, 2019		$	0	$	3,404,919	$	7,457,176	$	208,772	$	11,070,867	$	7,549	$	11,078,416	$	177,562
Cumulative effect of adoption of ASU No. 2016-13, net of taxes						(3,827)		0		(3,827)		0		(3,827)		0
January 1, 2020		0		3,404,919		7,453,349		208,772		11,067,040		7,549		11,074,589		177,562
Net income (loss)						(1,405,763)		0		(1,405,763)		3,301		(1,402,462)		1,086
December 31, 2020																		December 31, 2020	$	591,891	$	3,428,340	$	8,195,182	$	584,376	$	12,799,789	$	14,892	$	12,814,681	$	245,642
Net income																		Net income					1,553,874		—		1,553,874		7,960		1,561,834		10,849
Other comprehensive income (loss)	Other comprehensive income (loss)					0		52,954		52,954		0		52,954		(124)		Other comprehensive income (loss)					—		(264,987)		(264,987)		—		(264,987)		3
Comprehensive Income (Loss)										(1,352,809)		3,301		(1,349,508)		962
Comprehensive Income																		Comprehensive Income									1,288,887		7,960		1,296,847		10,852

Repurchase of common stock	Repurchase of common stock	0		0		(23,865)		0		(23,865)		0		(23,865)		0		Repurchase of common stock	—		—		(122,377)		—		(122,377)		—		(122,377)		—
Preferred stock dividends																		Preferred stock dividends	—		—		(18,000)		—		(18,000)		—		(18,000)		—
Restricted stock units expensed	Restricted stock units expensed	0		19,369		0		0		19,369		0		19,369		0		Restricted stock units expensed	—		27,783		—		—		27,783		—		27,783		—
Acquisition of Buckner																		Acquisition of Buckner	—		—		—		—		—		—		—		26,438
Adjustment of redeemable noncontrolling interests	Adjustment of redeemable noncontrolling interests	0		0		16,013		0		16,013		0		16,013		(16,013)		Adjustment of redeemable noncontrolling interests	—		—		41,553		—		41,553		—		41,553		(41,553)
Purchase of noncontrolling interest	Purchase of noncontrolling interest	0		(4,833)		0		0		(4,833)		0		(4,833)		(5,252)		Purchase of noncontrolling interest	—		(1,551)		—		—		(1,551)		—		(1,551)		(1,179)
Other	Other	0		73		(260)		0		(187)		752		565		(1,842)		Other	—		557		123		—		680		609		1,289		(8,288)
March 31, 2020		$	0	$	3,419,528	$	6,039,474	$	261,726	$	9,720,728	$	11,602	$	9,732,330	$	155,417
September 30, 2021																		September 30, 2021	$	591,891	$	3,455,129	$	9,650,355	$	319,389	$	14,016,764	$	23,461	$	14,040,225	$	231,912

See accompanying notes to consolidated financial statements.

Table o f of Contents

MARKEL CORPORATION AND SUBSIDIARIES

CONSOLIDATED STATEMENTS OF CHANGES IN EQUITY (continued)

(Unaudited)


Quarter Ended September 30, 2020	Preferred Stock		Common Stock		Retained Earnings		Accumulated Other Comprehensive Income		Total Shareholders' Equity		Noncontrolling Interests		Total Equity		Redeemable Noncontrolling Interests
(dollars in thousands)
June 30, 2020	$	591,891	$	3,421,845	$	6,948,466	$	432,351	$	11,394,553	$	15,695	$	11,410,248	$	214,653
Net income (loss)					452,726		—		452,726		(2,393)		450,333		3,710
Other comprehensive income					—		67,363		67,363		—		67,363		18
Comprehensive Income (Loss)									520,089		(2,393)		517,696		3,728


Restricted stock units expensed	—		3,402		—		—		3,402		—		3,402		—

Adjustment of redeemable noncontrolling interests	—		—		(23,621)		—		(23,621)		—		(23,621)		23,621

Other	—		—		(476)		—		(476)		509		33		(982)
September 30, 2020	$	591,891	$	3,425,247	$	7,377,095	$	499,714	$	11,893,947	$	13,811	$	11,907,758	$	241,020


Nine Months Ended September 30, 2020	Preferred Stock		Common Stock		Retained Earnings		Accumulated Other Comprehensive Income		Total Shareholders' Equity		Noncontrolling Interests		Total Equity		Redeemable Noncontrolling Interests
(dollars in thousands)
December 31, 2019	$	—	$	3,404,919	$	7,457,176	$	208,772	$	11,070,867	$	7,549	$	11,078,416	$	177,562
Cumulative effect of adoption of ASU No. 2016-13, net of taxes					(3,827)		—		(3,827)		—		(3,827)		—
January 1, 2020	—		3,404,919		7,453,349		208,772		11,067,040		7,549		11,074,589		177,562
Net income (loss)					(31,269)		—		(31,269)		4,201		(27,068)		11,406
Other comprehensive income					—		290,942		290,942		—		290,942		24
Comprehensive Income									259,673		4,201		263,874		11,430
Issuance of preferred stock	591,891		—		—		—		591,891		—		591,891		—
Repurchase of common stock	—		—		(23,943)		—		(23,943)		—		(23,943)		—
Restricted stock units expensed	—		26,386		—		—		26,386		—		26,386		—
Acquisition of Lansing	—		—		—		—		—		—		—		43,566
Adjustment of redeemable noncontrolling interests	—		—		(20,681)		—		(20,681)		—		(20,681)		20,681
Purchase of noncontrolling interest	—		(6,131)		—		—		(6,131)		—		(6,131)		(7,029)
Other	—		73		(361)		—		(288)		2,061		1,773		(5,190)
September 30, 2020	$	591,891	$	3,425,247	$	7,377,095	$	499,714	$	11,893,947	$	13,811	$	11,907,758	$	241,020

See accompanying notes to consolidated financial statements.

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MARKEL CORPORATION AND SUBSIDIARIES

CONDENSED CONSOLIDATED STATEMENTS OF CASH FLOWS

(Unaudited)

Three Months Ended March 31,
2021 2020
(dollars in thousands)
OPERATING ACTIVITIES
Net income (loss) $ 579,681 $ (1,401,376)
Adjustments to reconcile net income (loss) to net cash provided by operating activities (261,557) 1,467,054
Net Cash Provided By Operating Activities 318,124 65,678
INVESTING ACTIVITIES
Proceeds from sales of fixed maturity securities and equity securities 69,118 266,421
Proceeds from maturities, calls and prepayments of fixed maturity securities 100,123 104,226
Cost of fixed maturity securities and equity securities purchased (595,695) (382,415)
Net change in short-term investments (663,120) 942,695
Additions to property and equipment (30,650) (29,907)
Other 42,637 5,599
Net Cash Provided (Used) By Investing Activities (1,077,587) 906,619
FINANCING ACTIVITIES
Additions to senior long-term debt and other debt 152,355 89,428
Repayment of senior long-term debt and other debt (71,586) (30,274)
Repurchases of common stock (22,023) (23,865)
Other (5,039) (14,382)
Net Cash Provided By Financing Activities 53,707 20,907
Effect of foreign currency rate changes on cash, cash equivalents, restricted cash and restricted cash equivalents (12,989) (35,233)
Increase (decrease) in cash, cash equivalents, restricted cash and restricted cash equivalents (718,745) 957,971
Cash, cash equivalents, restricted cash and restricted cash equivalents at beginning of period 5,216,649 3,500,353
CASH, CASH EQUIVALENTS, RESTRICTED CASH AND RESTRICTED CASH EQUIVALENTS AT END OF PERIOD $ 4,497,904 $ 4,458,324


	Nine Months Ended September 30,
	2021		2020
	(dollars in thousands)
OPERATING ACTIVITIES
Net income (loss)	$	1,572,683	$	(15,662)
Adjustments to reconcile net income (loss) to net cash provided by operating activities	49,759		1,277,250
Net Cash Provided By Operating Activities	1,622,442		1,261,588
INVESTING ACTIVITIES
Proceeds from sales of fixed maturity securities and equity securities	182,040		1,544,501
Proceeds from maturities, calls and prepayments of fixed maturity securities	467,170		507,480
Cost of fixed maturity securities and equity securities purchased	(2,379,990)		(764,823)
Net change in short-term investments	(727,366)		(697,580)


Additions to property and equipment	(80,758)		(72,771)

Acquisitions, net of cash acquired	(241,210)		(547,847)

Other	47,623		53,531
Net Cash Provided (Used) By Investing Activities	(2,732,491)		22,491
FINANCING ACTIVITIES
Additions to senior long-term debt and other debt	989,067		189,846
Repayment of senior long-term debt and other debt	(370,157)		(227,692)

Repurchases of common stock	(122,377)		(23,943)
Issuance of preferred stock, net	—		591,891
Dividends paid on preferred stock	(18,000)		—



Other	(39,149)		(54,481)
Net Cash Provided By Financing Activities	439,384		475,621
Effect of foreign currency rate changes on cash, cash equivalents, restricted cash and restricted cash equivalents	(38,973)		2,500
Increase (decrease) in cash, cash equivalents, restricted cash and restricted cash equivalents	(709,638)		1,762,200
Cash, cash equivalents, restricted cash and restricted cash equivalents at beginning of period	5,216,649		3,500,353
CASH, CASH EQUIVALENTS, RESTRICTED CASH AND RESTRICTED CASH EQUIVALENTS AT END OF PERIOD	$	4,507,011	$	5,262,553

See accompanying notes to consolidated financial statements.

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MARKEL CORPORATION AND SUBSIDIARIES

NOTES TO CONSOLIDATED FINANCIAL STATEMENTS

1. Summary of Significant Accounting Policies

Markel Corporation is a diverse financial holding company serving a variety of niche markets. Markel Corporation's principal business markets and underwrites specialty insurance products. Through its wholly owned subsidiary, Markel Ventures, Inc. (Markel Ventures), Markel Corporation also owns interests in various businesses that operate outside of the specialty insurance marketplace. See note 2 for details regarding reportable segments.

a) Basis of Presentation. The consolidated balance sheet as of ~~March 31,~~September 30, 2021 and the related consolidated statements of income (loss) and comprehensive income ~~(loss),~~and changes in equity for the quarters and nine months ended September 30, 2021 and 2020, and the condensed consolidated statements of cash flows for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 and 2020 are unaudited. In the opinion of management, all adjustments necessary for fair presentation of such consolidated financial statements have been included. Such adjustments consist only of normal, recurring items. Interim results are not necessarily indicative of results of operations for the entire year. The consolidated balance sheet as of December 31, 2020 was derived from Markel Corporation's audited annual consolidated financial statements.

The accompanying consolidated financial statements have been prepared in accordance with United States (U.S.) generally accepted accounting principles (GAAP) and include the accounts of Markel Corporation and its consolidated subsidiaries, as well as any variable interest entities (VIEs) that meet the requirements for consolidation (the Company). All significant intercompany balances and transactions have been eliminated in consolidation. The Company consolidates the results of its Markel Ventures subsidiaries on a one-month lag, with the exception of significant transactions or events that occur during the intervening period. Certain prior ~~year~~period amounts have been reclassified to conform to the current period presentation.

The preparation of financial statements in accordance with U.S. GAAP requires management to make estimates and assumptions that affect the reported amounts of assets, liabilities, revenues and expenses and the disclosure of contingent assets and liabilities. Actual results may differ materially from the estimates and assumptions used in preparing the consolidated financial statements.

The consolidated financial statements and notes are presented as permitted by Form 10-Q and do not contain certain information included in the Company's annual consolidated financial statements and notes. Readers are urged to review the Company's 2020 Annual Report on Form 10-K for a more complete description of the Company's business and accounting policies, as well as a description of the risks and uncertainties associated with the COVID-19 pandemic on the Company's businesses and results of operations, financial condition and cash flows, including in note 20 of the notes to consolidated financial statements included under Item 8 Financial Statements and Supplementary Data. There were no material changes in the Company's assessment of the risks and uncertainties associated with the COVID-19 pandemic during the ~~three~~nine months ended ~~March 31,~~September 30, 2021.

b) Recent Accounting Pronouncements

Accounting Standards Adopted in 2021

The Company adopted Financial Accounting Standards Board (FASB) Accounting Standards Update (ASU) No. 2019-12, Income Taxes (Topic 740): Simplifying the Accounting for Income Taxes, effective January 1, 2021. Adoption of this standard did not have a material impact on the Company's financial position, results of operations or cash flows.

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Accounting Standards Not Yet Adopted

In August 2018, the FASB issued ASU No. 2018-12, Financial Services—Insurance (Topic 944): Targeted Improvements to the Accounting for Long-Duration Contracts. The FASB subsequently issued several ASUs as amendments to ASU No. 2018-12. The standard requires insurance entities with long duration contracts to: (1) review and, if there is a change, update the assumptions used to measure expected cash flows at least ~~annually, as well as~~annually; (2) update the discount rate assumption at each reporting date; ~~(2)~~(3) measure all market risk benefits associated with deposit (or account balance) contracts at fair value; and ~~(3)~~(4) disclose liability rollforwards and information about significant inputs, judgments, assumptions and methods used to measure the liability, including changes thereto and the effect of those changes on measurement. ASU No. 2018-12 becomes effective for the Company during the first quarter of 2023. The standard will, among other things, impact the discount rate used in estimating reserves for the Company's life and annuity reinsurance portfolio, which is in runoff. Currently, the discount rate assumption is locked-in for the life of the contracts, unless there is a loss recognition event. The Company is currently evaluating ASU No. 2018-12 to determine the impact that adopting this standard will have on its consolidated financial statements.

2. Segment Reporting Disclosures

The chief operating decision maker reviews the Company's ongoing underwriting operations on a global basis in the following two segments: Insurance and Reinsurance. In determining how to allocate resources and assess the performance of ~~its~~the Company's underwriting results, management considers many factors, including the nature of the insurance product sold, the type of account written and the type of customer served. The Insurance segment includes all direct business and facultative placements written within the Company's underwriting operations. The Reinsurance segment includes all treaty reinsurance written within the Company's underwriting operations. All investing activities related to the Company's insurance operations are included in the Investing segment.

The chief operating decision maker reviews and assesses Markel Ventures' performance in the aggregate, as a single operating segment. The Markel Ventures segment primarily consists of controlling interests in a diverse portfolio of businesses that operate in various industries.

The Company's other operations primarily consist of the results of the Company's insurance-linked securities operations and program services business. Other operations also include results for lines of business discontinued prior to, or in conjunction with, acquisitions, including development on asbestos and environmental loss reserves and results attributable to the run-off of life and annuity reinsurance business, which are monitored separately from the Company's ongoing underwriting operations. For purposes of segment reporting, none of these other operations are considered to be reportable segments.

Segment profit for each of the Company's underwriting segments is measured by underwriting profit. The property and casualty insurance industry commonly defines underwriting profit as earned premiums net of losses and loss adjustment expenses and underwriting, acquisition and insurance expenses. Underwriting profit does not replace operating income or net income computed in accordance with U.S. GAAP as a measure of profitability. Underwriting profit or loss provides a basis for management to evaluate the Company's underwriting performance. Segment profit for the Company's underwriting segments may also include other revenues and expenses that are attributable to the Company's underwriting operations that are not captured in underwriting profit. Segment profit for the Investing segment is measured by net investment income and net investment gains. Segment profit for the Markel Ventures segment is measured by operating income.

For management reporting purposes, the Company allocates assets to its underwriting operations and to its Investing and Markel Ventures segments and certain of its other operations, including its insurance-linked securities and program services operations. Underwriting assets include assets attributed to the Company's Insurance and Reinsurance segments, discontinued underwriting lines of business, as well as assets that are not specifically allocated to the Company's other operations. ~~Underwriting and investing assets are not allocated to the Company's underwriting segments since~~Generally, the Company ~~does not manage~~manages its underwriting assets ~~by underwriting segment. The Company~~in the aggregate and therefore does not allocate ~~capital expenditures for long-lived~~ assets to ~~either of its~~individual underwriting ~~segments for management reporting purposes.~~segments.

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a) The following tables summarize the Company's segment disclosures.


		Three Months Ended March 31, 2021																	Quarter Ended September 30, 2021
(dollars in thousands)	(dollars in thousands)	Insurance			Reinsurance			Investing		Markel Ventures (1)		Other (2)			Consolidated			(dollars in thousands)	Insurance			Reinsurance			Investing		Markel Ventures (1)		Other (2)		Consolidated
Gross premium volume	Gross premium volume	$	1,638,327		$	532,518		$	0	$	0	$	634,007		$	2,804,852		Gross premium volume	$	1,899,592		$	180,673		$	—	$	—	$	888,337	$	2,968,602
Net written premiums	Net written premiums	1,387,430			494,085			0		0		(445)			1,881,070			Net written premiums	1,545,428			141,642			—		—		(2,260)		1,684,810

Earned premiums	Earned premiums	1,244,027			254,087			0		0		(419)			1,497,695			Earned premiums	1,381,235			250,962			—		—		(1,697)		1,630,500
Losses and loss adjustment expenses:	Losses and loss adjustment expenses:																	Losses and loss adjustment expenses:
Current accident year	Current accident year	(798,247)			(172,501)			0		0		0			(970,748)			Current accident year	(866,481)			(221,872)			—		—		—		(1,088,353)
Prior accident years	Prior accident years	119,064			(28,655)			0		0		421			90,830			Prior accident years	124,133			16,292			—		—		(313)		140,112
Underwriting, acquisition and insurance expenses:																		Underwriting, acquisition and insurance expenses:
Amortization of policy acquisition costs	Amortization of policy acquisition costs	(260,599)			(61,988)			0		0		0			(322,587)			Amortization of policy acquisition costs	(289,201)			(63,723)			—		—		—		(352,924)
Other operating expenses	Other operating expenses	(187,297)			(14,161)			0		0		(2,698)			(204,156)			Other operating expenses	(202,961)			(12,101)			—		—		(1,770)		(216,832)
Underwriting profit (loss)	Underwriting profit (loss)	116,948			(23,218)			0		0		(2,696)			91,034			Underwriting profit (loss)	146,725			(30,442)			—		—		(3,780)		112,503
Net investment income	Net investment income	0			0			96,567		3		0			96,570			Net investment income	—			—			91,261		3		—		91,264
Net investment gains		0			0			526,871		0		0			526,871
Net investment losses																		Net investment losses	—			—			(25,833)		—		—		(25,833)
Products revenues	Products revenues	0			0			0		328,832		0			328,832			Products revenues	—			—			—		405,711		—		405,711
Services and other revenues	Services and other revenues	0			0			0		377,767		72,459			450,226			Services and other revenues	—			—			—		502,471		83,241		585,712
Products expenses	Products expenses	0			0			0		(296,526)		0			(296,526)			Products expenses	—			—			—		(374,407)		—		(374,407)
Services and other expenses	Services and other expenses	0			0			0		(344,908)		(67,189)			(412,097)			Services and other expenses	—			—			—		(465,268)		(48,726)		(513,994)
Amortization of intangible assets (3)	Amortization of intangible assets (3)	0			0			0		(13,705)		(25,848)			(39,553)			Amortization of intangible assets (3)	—			—			—		(13,541)		(25,727)		(39,268)

Segment profit (loss)	Segment profit (loss)	$	116,948		$	(23,218)		$	623,438	$	51,463	$	(23,274)		$	745,357		Segment profit (loss)	$	146,725		$	(30,442)		$	65,428	$	54,969	$	5,008	$	241,688
Interest expense	Interest expense														(42,389)			Interest expense													(46,455)
Net foreign exchange gains	Net foreign exchange gains														25,084			Net foreign exchange gains													48,850

Income before income taxes	Income before income taxes														$	728,052		Income before income taxes													$	244,083
U.S. GAAP combined ratio (4)	U.S. GAAP combined ratio (4)	91		%	109		%					NM		(5)	94		%	U.S. GAAP combined ratio (4)	89		%	112		%					NM (5)		93		%

(1) Products expenses and services and other expenses for the Markel Ventures segment include depreciation expense of ~~$16.0~~$15.8 million for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021.

(2) Other represents the total profit (loss) attributable to the Company's operations that are not included in a reportable segment as well as any amortization of intangible assets that is not allocated to a reportable segment. Amortization of intangible assets attributable to the Company's underwriting segments was $10.3 million for the quarter ended September 30, 2021, however, the Company does not allocate amortization of intangible assets between the Insurance and Reinsurance segments.

(3) Segment profit for the Markel Ventures segment includes amortization of intangible assets attributable to Markel Ventures. Amortization of intangible assets is not allocated to the Company's Insurance and Reinsurance segments.

(4) The U.S. GAAP combined ratio is a measure of underwriting performance and represents the relationship of incurred losses, loss adjustment expenses and underwriting, acquisition and insurance expenses to earned premiums.

(5) NM - Ratio is not meaningful

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	Quarter Ended September 30, 2020
(dollars in thousands)	Insurance			Reinsurance			Investing		Markel Ventures (1)		Other (2)		Consolidated
Gross premium volume	$	1,514,002		$	222,066		$	—	$	—	$	536,666	$	2,272,734
Net written premiums	1,220,054			178,994			—		—		(1,772)		1,397,276

Earned premiums	1,173,758			222,369			—		—		(1,699)		1,394,428
Losses and loss adjustment expenses:
Current accident year	(817,174)			(213,325)			—		—		—		(1,030,499)
Prior accident years	137,312			30,681			—		—		(741)		167,252
Underwriting, acquisition and insurance expenses:
Amortization of policy acquisition costs	(239,096)			(56,997)			—		—		—		(296,093)
Other operating expenses	(179,840)			(17,609)			—		—		718		(196,731)
Underwriting profit (loss)	74,960			(34,881)			—		—		(1,722)		38,357
Net investment income	—			—			90,380		4		—		90,384
Net investment gains	—			—			539,302		—		—		539,302
Products revenues	—			—			—		342,039		—		342,039
Services and other revenues	—			—			—		482,089		63,493		545,582
Products expenses	—			—			—		(296,371)		—		(296,371)
Services and other expenses	—			—			—		(432,294)		(89,943)		(522,237)
Amortization of intangible assets (3)	—			—			—		(15,862)		(28,802)		(44,664)

Segment profit (loss)	$	74,960		$	(34,881)		$	629,682	$	79,605	$	(56,974)	$	692,392
Interest expense													(42,744)
Net foreign exchange losses													(65,577)

Income before income taxes													$	584,071
U.S. GAAP combined ratio (4)	94		%	116		%					NM (5)		97		%

(1) Products expenses and services and other expenses for the Markel Ventures segment include depreciation expense of $15.3 million for the quarter ended September 30, 2020.

(2) Other represents the total profit (loss) attributable to the Company's operations that are not included in a reportable segment as well as any amortization of intangible assets that is not allocated to a reportable segment. Amortization of intangible assets attributable to the Company's underwriting segments was $10.4 million for the ~~three~~quarter ended September 30, 2020, however, the Company does not allocate amortization of intangible assets between the Insurance and Reinsurance segments.

(5) NM - Ratio is not meaningful

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	Nine Months Ended September 30, 2021
(dollars in thousands)	Insurance			Reinsurance			Investing		Markel Ventures (1)		Other (2)		Consolidated
Gross premium volume	$	5,359,293		$	992,635		$	—	$	—	$	2,305,539	$	8,657,467
Net written premiums	4,427,301			893,082			—		—		(3,052)		5,317,331

Earned premiums	3,928,824			770,031			—		—		(2,623)		4,696,232
Losses and loss adjustment expenses:
Current accident year	(2,448,034)			(561,226)			—		—		—		(3,009,260)
Prior accident years	397,723			(34,104)			—		—		2,527		366,146
Underwriting, acquisition and insurance expenses:
Amortization of policy acquisition costs	(814,623)			(193,697)			—		—		—		(1,008,320)
Other operating expenses	(594,880)			(39,676)			—		—		(1,987)		(636,543)
Underwriting profit (loss)	469,010			(58,672)			—		—		(2,083)		408,255
Net investment income	—			—			284,087		8		—		284,095
Net investment gains	—			—			1,175,791		—		—		1,175,791
Products revenues	—			—			—		1,327,144		—		1,327,144
Services and other revenues	—			—			—		1,363,141		241,917		1,605,058
Products expenses	—			—			—		(1,173,135)		—		(1,173,135)
Services and other expenses	—			109			—		(1,260,957)		(181,494)		(1,442,342)
Amortization of intangible assets (3)	—			—			—		(41,104)		(77,446)		(118,550)

Segment profit (loss)	$	469,010		$	(58,563)		$	1,459,878	$	215,097	$	(19,106)	$	2,066,316
Interest expense													(135,412)
Net foreign exchange gains													61,677

Income before income taxes													$	1,992,581
U.S. GAAP combined ratio (4)	88		%	108		%					NM (5)		91		%

(1) Products expenses and services and other expenses for the Markel Ventures segment include depreciation expense of $47.7 million for the nine months ended ~~March 31,~~September 30, 2021.

(2) Other represents the total profit (loss) attributable to the Company's operations that are not included in a reportable segment as well as any amortization of intangible assets that is not allocated to a reportable segment. Amortization of intangible assets attributable to the Company's underwriting segments was $31.1 million for the nine months ended September 30, 2021, however, the Company does not allocate amortization of intangible assets between the Insurance and Reinsurance segments.

(5) NM - Ratio is not meaningful

912

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		Three Months Ended March 31, 2020																	Nine Months Ended September 30, 2020
(dollars in thousands)	(dollars in thousands)	Insurance			Reinsurance			Investing		Markel Ventures (1)		Other (2)			Consolidated			(dollars in thousands)	Insurance			Reinsurance			Investing		Markel Ventures (1)		Other (2)		Consolidated
Gross premium volume	Gross premium volume	$	1,414,711		$	513,186		$	0	$	0	$	394,927		$	2,322,824		Gross premium volume	$	4,482,149		$	958,529		$	—	$	—	$	1,528,072	$	6,968,750
Net written premiums	Net written premiums	1,195,737			452,749			0		0		(2,008)			1,646,478			Net written premiums	3,683,767			820,573			—		—		(4,191)		4,500,149

Earned premiums	Earned premiums	1,106,851			225,960			0		0		(2,102)			1,330,709			Earned premiums	3,400,760			688,884			—		—		(4,333)		4,085,311
Losses and loss adjustment expenses:	Losses and loss adjustment expenses:																	Losses and loss adjustment expenses:
Current accident year	Current accident year	(1,006,635)			(173,730)			0		0		0			(1,180,365)			Current accident year	(2,554,010)			(534,218)			—		—		—		(3,088,228)
Prior accident years	Prior accident years	116,132			(13,912)			0		0		1,797			104,017			Prior accident years	404,649			29,049			—		—		1,719		435,417
Underwriting, acquisition and insurance expenses:																		Underwriting, acquisition and insurance expenses:
Amortization of policy acquisition costs	Amortization of policy acquisition costs	(239,420)			(56,391)			0		0		0			(295,811)			Amortization of policy acquisition costs	(717,300)			(176,799)			—		—		—		(894,099)
Other operating expenses	Other operating expenses	(183,302)			(15,886)			0		0		(164)			(199,352)			Other operating expenses	(530,440)			(51,001)			—		—		(1,809)		(583,250)
Underwriting loss		(206,374)			(33,959)			0		0		(469)			(240,802)
Underwriting profit (loss)																		Underwriting profit (loss)	3,659			(44,085)			—		—		(4,423)		(44,849)
Net investment income	Net investment income	0			0			88,059		184		0			88,243			Net investment income	—			—			274,000		242		—		274,242
Net investment losses	Net investment losses	0			0			(1,681,441)		0		0			(1,681,441)			Net investment losses	—			—			(230,896)		—		—		(230,896)
Products revenues	Products revenues	0			0			0		352,161		0			352,161			Products revenues	—			—			—		1,117,781		—		1,117,781
Services and other revenues	Services and other revenues	0			0			0		158,876		87,118			245,994			Services and other revenues	—			—			—		895,469		237,509		1,132,978
Products expenses	Products expenses	0			0			0		(314,071)		0			(314,071)			Products expenses	—			—			—		(974,925)		—		(974,925)
Services and other expenses	Services and other expenses	0			0			0		(143,552)		(74,004)			(217,556)			Services and other expenses	—			—			—		(798,502)		(226,231)		(1,024,733)
Amortization of intangible assets (3)	Amortization of intangible assets (3)	0			0			0		(11,841)		(26,017)			(37,858)			Amortization of intangible assets (3)	—			—			—		(39,299)		(80,977)		(120,276)

Segment profit (loss)	Segment profit (loss)	$	(206,374)		$	(33,959)		$	(1,593,382)	$	41,757	$	(13,372)		$	(1,805,330)		Segment profit (loss)	$	3,659		$	(44,085)		$	43,104	$	200,766	$	(74,122)	$	129,322
Interest expense	Interest expense														(45,030)			Interest expense													(133,201)
Net foreign exchange gains															78,301
Net foreign exchange losses																		Net foreign exchange losses													(8,736)

Loss before income taxes	Loss before income taxes														$	(1,772,059)		Loss before income taxes													$	(12,615)
U.S. GAAP combined ratio (4)	U.S. GAAP combined ratio (4)	119		%	115		%					NM		(5)	118		%	U.S. GAAP combined ratio (4)	100		%	106		%					NM (5)		101		%

(1) Products expenses and services and other expenses for the Markel Ventures segment include depreciation expense of ~~$13.9~~$43.5 million for the ~~three~~nine months ended ~~March 31,~~September 30, 2020.

(2) Other represents the total profit (loss) attributable to the Company's operations that are not included in a reportable segment as well as any amortization of intangible assets that is not allocated to a reportable segment. Amortization of intangible assets attributable to the Company's underwriting segments was ~~$10.5~~$31.5 million for the ~~three~~nine months ended ~~March 31,~~September 30, 2020, however, the Company does not allocate amortization of intangible assets between the Insurance and Reinsurance segments.

(5) NM - Ratio is not meaningful

b) The following table reconciles segment assets to the Company's consolidated balance sheets.


(dollars in thousands)	(dollars in thousands)	March 31, 2021		December 31, 2020		(dollars in thousands)	September 30, 2021		December 31, 2020
Segment assets:	Segment assets:					Segment assets:
Investing	Investing	$	25,470,635	$	24,781,946	Investing	$	27,327,180	$	24,781,946
Underwriting	Underwriting	7,704,190		7,228,297		Underwriting	8,151,380		7,228,297
Markel Ventures	Markel Ventures	3,706,069		3,636,060		Markel Ventures	4,336,021		3,636,060
Total segment assets	Total segment assets	36,880,894		35,646,303		Total segment assets	39,814,581		35,646,303
Other operations	Other operations	6,162,135		6,063,751		Other operations	6,881,855		6,063,751
Total assets	Total assets	$	43,043,029	$	41,710,054	Total assets	$	46,696,436	$	41,710,054

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3. Acquisitions

In August 2021, the Company acquired 90% of the holding company for the Buckner HeavyLift Cranes companies (Buckner), a provider of crane rental services for large commercial contractors. Under the terms of the acquisition agreement, the Company has the option to acquire the remaining equity interests and the remaining equity holders have the option to sell their interests to the Company in the future. The redemption value of the remaining equity interests is generally based on Buckner's earnings in specified periods preceding the redemption dates. Total consideration for the transaction was $237.9 million, all of which was cash. The purchase price was preliminarily allocated to the acquired assets and liabilities of Buckner based on estimated fair value at the acquisition date. The Company recognized goodwill of $91.9 million, intangible assets of $60.0 million and fixed assets of $306.6 million, primarily related to cranes. Goodwill is primarily attributable to expected future earnings and cash flow potential of Buckner, and it is not expected to be deductible for income tax purposes. Intangible assets include $50.0 million of customer relationships and $10.0 million of trade names, which are expected to be amortized over 7 years and 15 years, respectively. Additionally, the Company assumed long-term debt of $165.1 million and recognized redeemable noncontrolling interests of $26.4 million. Results attributable to Buckner will be included in the Company's Markel Ventures segment.

The Company has not completed the process of determining the fair value of the assets acquired and liabilities assumed. These valuations are required to be completed within 12 months from the acquisition date. As a result, the fair value recorded for these items is a provisional estimate and is subject to adjustment. Once completed, any adjustments resulting from the valuations may impact the individual amounts recorded for assets acquired and liabilities assumed, as well as the residual goodwill.

4. Investments

a) The following tables summarize the Company's available-for-sale investments. Commercial and residential mortgage-backed securities include securities issued by U.S. government-sponsored enterprises and U.S. government agencies. The net unrealized holding gains in the tables below are presented before taxes and any reserve deficiency adjustments for life and annuity benefit reserves. See note 8.9.


		March 31, 2021						September 30, 2021
(dollars in thousands)	(dollars in thousands)	Amortized Cost		Gross Unrealized Holding Gains		Gross Unrealized Holding Losses			Estimated Fair Value		(dollars in thousands)	Amortized Cost		Gross Unrealized Holding Gains		Gross Unrealized Holding Losses		Estimated Fair Value
Fixed maturity securities:	Fixed maturity securities:										Fixed maturity securities:
U.S. Treasury securities	U.S. Treasury securities	$	924,319	$	5,467	$	(5,469)		$	924,317	U.S. Treasury securities	$	1,900,911	$	3,907	$	(7,466)	$	1,897,352
U.S. government-sponsored enterprises	U.S. government-sponsored enterprises	591,883		31,639		(9,110)			614,412		U.S. government-sponsored enterprises	750,038		31,417		(4,423)		777,032
Obligations of states, municipalities and political subdivisions	Obligations of states, municipalities and political subdivisions	3,928,674		294,394		(10,680)			4,212,388		Obligations of states, municipalities and political subdivisions	3,866,173		292,948		(5,656)		4,153,465
Foreign governments	Foreign governments	1,354,681		196,055		(1,967)			1,548,769		Foreign governments	1,383,586		153,795		(5,576)		1,531,805
Commercial mortgage-backed securities	Commercial mortgage-backed securities	1,761,869		99,451		(3,009)			1,858,311		Commercial mortgage-backed securities	1,945,261		93,916		(5,143)		2,034,034
Residential mortgage-backed securities	Residential mortgage-backed securities	790,950		48,935		(13)			839,872		Residential mortgage-backed securities	740,380		36,057		(73)		776,364
Asset-backed securities	Asset-backed securities	5,713		113		0			5,826		Asset-backed securities	3,403		79		—		3,482
Corporate bonds	Corporate bonds	761,317		65,916		(2,983)			824,250		Corporate bonds	734,392		57,462		(2,801)		789,053
Total fixed maturity securities	Total fixed maturity securities	10,119,406		741,970		(33,231)			10,828,145		Total fixed maturity securities	11,324,144		669,581		(31,138)		11,962,587
Short-term investments	Short-term investments	2,732,659		4,327		(4)			2,736,982		Short-term investments	2,757,235		2,365		(1,802)		2,757,798
Investments, available-for-sale	Investments, available-for-sale	$	12,852,065	$	746,297	$	(33,235)		$	13,565,127	Investments, available-for-sale	$	14,081,379	$	671,946	$	(32,940)	$	14,720,385

December 31, 2020
(dollars in thousands) Amortized
Cost Gross
Unrealized
Holding
Gains Gross
Unrealized
Holding
Losses Estimated
Fair
Value
Fixed maturity securities:
U.S. Treasury securities $ 580,716 $ 9,091 $ (507) $ 589,300
U.S. government-sponsored enterprises 500,053 51,593 (92) 551,554
Obligations of states, municipalities and political subdivisions 3,903,292 386,784 (235) 4,289,841
Foreign governments 1,352,616 275,450 (57) 1,628,009
Commercial mortgage-backed securities 1,736,257 149,359 (34) 1,885,582
Residential mortgage-backed securities 811,732 58,742 (29) 870,445
Asset-backed securities 5,812 154 0 5,966
Corporate bonds 764,783 96,257 (3) 861,037
Total fixed maturity securities 9,655,261 1,027,430 (957) 10,681,734
Short-term investments 2,030,460 3,645 (6) 2,034,099
Investments, available-for-sale $ 11,685,721 $ 1,031,075 $ (963) $ 12,715,833

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	December 31, 2020
(dollars in thousands)	Amortized Cost		Gross Unrealized Holding Gains		Gross Unrealized Holding Losses		Estimated Fair Value
Fixed maturity securities:
U.S. Treasury securities	$	580,716	$	9,091	$	(507)	$	589,300
U.S. government-sponsored enterprises	500,053		51,593		(92)		551,554
Obligations of states, municipalities and political subdivisions	3,903,292		386,784		(235)		4,289,841
Foreign governments	1,352,616		275,450		(57)		1,628,009
Commercial mortgage-backed securities	1,736,257		149,359		(34)		1,885,582
Residential mortgage-backed securities	811,732		58,742		(29)		870,445
Asset-backed securities	5,812		154		—		5,966
Corporate bonds	764,783		96,257		(3)		861,037
Total fixed maturity securities	9,655,261		1,027,430		(957)		10,681,734
Short-term investments	2,030,460		3,645		(6)		2,034,099
Investments, available-for-sale	$	11,685,721	$	1,031,075	$	(963)	$	12,715,833

b) The following tables summarize gross unrealized investment losses on available-for-sale investments by the length of time that securities have continuously been in an unrealized loss position.


		March 31, 2021													September 30, 2021
		Less than 12 months				12 months or longer				Total					Less than 12 months				12 months or longer				Total
(dollars in thousands)	(dollars in thousands)	Estimated Fair Value		Gross Unrealized Holding Losses		Estimated Fair Value		Gross Unrealized Holding Losses		Estimated Fair Value		Gross Unrealized Holding Losses		(dollars in thousands)	Estimated Fair Value		Gross Unrealized Holding Losses		Estimated Fair Value		Gross Unrealized Holding Losses		Estimated Fair Value		Gross Unrealized Holding Losses
Fixed maturity securities:	Fixed maturity securities:													Fixed maturity securities:
U.S. Treasury securities	U.S. Treasury securities	$	529,340	$	(5,469)	$	0	$	0	$	529,340	$	(5,469)	U.S. Treasury securities	$	1,529,225	$	(5,438)	$	53,457	$	(2,028)	$	1,582,682	$	(7,466)
U.S. government-sponsored enterprises	U.S. government-sponsored enterprises	279,682		(9,110)		0		0		279,682		(9,110)		U.S. government-sponsored enterprises	256,872		(3,602)		14,028		(821)		270,900		(4,423)
Obligations of states, municipalities and political subdivisions	Obligations of states, municipalities and political subdivisions	258,698		(10,671)		2,926		(9)		261,624		(10,680)		Obligations of states, municipalities and political subdivisions	283,201		(5,182)		21,491		(474)		304,692		(5,656)
Foreign governments	Foreign governments	101,907		(1,967)		0		0		101,907		(1,967)		Foreign governments	255,067		(5,576)		—		—		255,067		(5,576)
Commercial mortgage-backed securities	Commercial mortgage-backed securities	105,483		(3,009)		0		0		105,483		(3,009)		Commercial mortgage-backed securities	306,557		(5,143)		—		—		306,557		(5,143)
Residential mortgage-backed securities	Residential mortgage-backed securities	1,084		(9)		430		(4)		1,514		(13)		Residential mortgage-backed securities	5,928		(70)		92		(3)		6,020		(73)

Corporate bonds	Corporate bonds	79,402		(2,983)		0		0		79,402		(2,983)		Corporate bonds	101,607		(2,801)		—		—		101,607		(2,801)
Total fixed maturity securities	Total fixed maturity securities	1,355,596		(33,218)		3,356		(13)		1,358,952		(33,231)		Total fixed maturity securities	2,738,457		(27,812)		89,068		(3,326)		2,827,525		(31,138)
Short-term investments	Short-term investments	968,973		(4)		0		0		968,973		(4)		Short-term investments	2,450,158		(1,802)		—		—		2,450,158		(1,802)
Total	Total	$	2,324,569	$	(33,222)	$	3,356	$	(13)	$	2,327,925	$	(33,235)	Total	$	5,188,615	$	(29,614)	$	89,068	$	(3,326)	$	5,277,683	$	(32,940)

At ~~March 31,~~September 30, 2021, the Company held ~~139~~203 available-for-sale securities in an unrealized loss position with a total estimated fair value of ~~$2.3~~$5.3 billion and gross unrealized losses of ~~$33.2~~$32.9 million. Of these ~~139~~203 securities, 710 securities had been in a continuous unrealized loss position for one year or longer and had a total estimated fair value of ~~$3.4~~$89.1 million and gross unrealized losses of ~~$13 thousand.~~$3.3 million. The Company does not intend to sell or believe it will be required to sell these available-for-sale securities before recovery of their amortized cost.

December 31, 2020
Less than 12 months 12 months or longer Total
(dollars in thousands) Estimated
Fair
Value Gross
Unrealized
Holding Losses Estimated
Fair
Value Gross
Unrealized
Holding Losses Estimated
Fair
Value Gross
Unrealized
Holding Losses
Fixed maturity securities:
U.S. Treasury securities $ 66,220 $ (507) $ 0 $ 0 $ 66,220 $ (507)
U.S. government-sponsored enterprises 14,878 (92) 0 0 14,878 (92)
Obligations of states, municipalities and political subdivisions 28,037 (223) 2,960 (12) 30,997 (235)
Foreign governments 20,790 (57) 0 0 20,790 (57)
Commercial mortgage-backed securities 13,178 (26) 2,526 (8) 15,704 (34)
Residential mortgage-backed securities 3,345 (29) 0 0 3,345 (29)
Corporate bonds 92 (3) 0 0 92 (3)
Total fixed maturity securities 146,540 (937) 5,486 (20) 152,026 (957)
Short-term investments 349,978 (6) 0 0 349,978 (6)
Total $ 496,518 $ (943) $ 5,486 $ (20) $ 502,004 $ (963)

Table of Contents


	December 31, 2020
	Less than 12 months				12 months or longer				Total
(dollars in thousands)	Estimated Fair Value		Gross Unrealized Holding Losses		Estimated Fair Value		Gross Unrealized Holding Losses		Estimated Fair Value		Gross Unrealized Holding Losses
Fixed maturity securities:
U.S. Treasury securities	$	66,220	$	(507)	$	—	$	—	$	66,220	$	(507)
U.S. government-sponsored enterprises	14,878		(92)		—		—		14,878		(92)
Obligations of states, municipalities and political subdivisions	28,037		(223)		2,960		(12)		30,997		(235)
Foreign governments	20,790		(57)		—		—		20,790		(57)
Commercial mortgage-backed securities	13,178		(26)		2,526		(8)		15,704		(34)
Residential mortgage-backed securities	3,345		(29)		—		—		3,345		(29)

Corporate bonds	92		(3)		—		—		92		(3)
Total fixed maturity securities	146,540		(937)		5,486		(20)		152,026		(957)
Short-term investments	349,978		(6)		—		—		349,978		(6)
Total	$	496,518	$	(943)	$	5,486	$	(20)	$	502,004	$	(963)

At December 31, 2020, the Company held 36 available-for-sale securities in an unrealized loss position with a total estimated fair value of $502.0 million and gross unrealized losses of $963 thousand. Of these 36 securities, 6 securities had been in a continuous unrealized loss position for one year or longer and had a total estimated fair value of $5.5 million and gross unrealized losses of $20 thousand.

~~Table o~~f ~~Contents~~

The Company completes a detailed analysis each quarter to assess whether the decline in the fair value of any investment below its cost basis is the result of a credit loss. All available-for-sale securities with unrealized losses are reviewed. The Company considers many factors in completing its quarterly review of securities with unrealized losses for credit-related impairment to determine whether a credit loss exists, including the extent to which fair value is below cost, the implied yield to maturity, rating downgrades of the security and whether or not the issuer has failed to make scheduled principal or interest payments. The Company also takes into consideration information about the financial condition of the issuer and industry factors that could negatively impact the capital markets.

If the decline in fair value of an available-for-sale security below its amortized cost is considered to be the result of a credit loss, the Company compares the estimated present value of the cash flows expected to be collected to the amortized cost of the security. The extent to which the estimated present value of the cash flows expected to be collected is less than the amortized cost of the security represents the credit loss, which is recorded as an allowance and recognized in net income. The allowance is limited to the difference between the fair value and the amortized cost of the security. Any remaining decline in fair value represents the non-credit portion of the impairment, which is recognized in other comprehensive income. The Company did not have an allowance for credit losses as of ~~March 31,~~September 30, 2021 or December 31, 2020.

Quarterly, the Company also considers whether it intends to sell an available-for-sale security or if it is more likely than not that it will be required to sell the security before recovery of its amortized cost. In these instances, a decline in fair value is recognized in net income based on the fair value of the security at the time of assessment, resulting in a new cost basis for the security.

Table of Contents

c) The amortized cost and estimated fair value of fixed maturity securities at ~~March 31,~~September 30, 2021 are shown below by contractual maturity.


(dollars in thousands)	(dollars in thousands)	Amortized Cost		Estimated Fair Value		(dollars in thousands)	Amortized Cost		Estimated Fair Value
Due in one year or less	Due in one year or less	$	370,251	$	373,762	Due in one year or less	$	391,678	$	395,422
Due after one year through five years	Due after one year through five years	2,298,104		2,417,512		Due after one year through five years	3,407,996		3,507,926
Due after five years through ten years	Due after five years through ten years	2,522,776		2,686,728		Due after five years through ten years	2,576,383		2,706,530
Due after ten years	Due after ten years	2,369,743		2,646,134		Due after ten years	2,259,043		2,538,829
		7,560,874		8,124,136			8,635,100		9,148,707
Commercial mortgage-backed securities	Commercial mortgage-backed securities	1,761,869		1,858,311		Commercial mortgage-backed securities	1,945,261		2,034,034
Residential mortgage-backed securities	Residential mortgage-backed securities	790,950		839,872		Residential mortgage-backed securities	740,380		776,364
Asset-backed securities	Asset-backed securities	5,713		5,826		Asset-backed securities	3,403		3,482
Total fixed maturity securities	Total fixed maturity securities	$	10,119,406	$	10,828,145	Total fixed maturity securities	$	11,324,144	$	11,962,587

d) The following table presents the components of net investment income.


		Three Months Ended March 31,			Quarter Ended September 30,						Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021			2020		(dollars in thousands)	2021		2020		2021		2020
Interest:	Interest:							Interest:
Municipal bonds (tax-exempt)			$	15,236		$	16,601
Municipal bonds (taxable)			16,495			16,895
Tax-exempt municipal bonds								Tax-exempt municipal bonds	$	14,293	$	15,693	$	43,631	$	48,451
Taxable municipal bonds								Taxable municipal bonds	16,320		16,456		49,236		50,185
Other taxable bonds	Other taxable bonds		39,395			39,972		Other taxable bonds	39,705		38,788		119,718		118,376
Short-term investments, including overnight deposits	Short-term investments, including overnight deposits		672			10,243		Short-term investments, including overnight deposits	633		894		2,179		13,516
Dividends on equity securities	Dividends on equity securities		25,385			28,614		Dividends on equity securities	23,400		20,282		68,583		66,916
Income (loss) from equity method investments	Income (loss) from equity method investments		3,925			(19,979)		Income (loss) from equity method investments	882		2,483		13,825		(11,849)
Other	Other		(195)			757		Other	(335)		(365)		(947)		438
			100,913			93,103			94,898		94,231		296,225		286,033
Investment expenses	Investment expenses		(4,343)			(4,860)		Investment expenses	(3,634)		(3,847)		(12,130)		(11,791)
Net investment income	Net investment income		$	96,570		$	88,243	Net investment income	$	91,264	$	90,384	$	284,095	$	274,242

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e) The following table presents the components of net investment gains (losses) and the change in net unrealized gains included in other comprehensive income (loss).

Three Months Ended March 31,
(dollars in thousands) 2021 2020
Fixed maturity securities:
Realized gains $ 83 $ 1,385
Realized losses 0 (2,884)
Short-term investments:
Realized gains 30 98
Realized losses (94) (172)
Cost-method investments:
Realized gains 4,722 11,167
Other investment gains (losses) (1,332) 144
Net realized investment gains 3,409 9,738
Equity securities:
Change in fair value of securities sold during the period 3,117 (39,065)
Change in fair value of securities held at the end of the period 520,345 (1,652,114)
Total change in fair value 523,462 (1,691,179)
Net investment gains (losses) $ 526,871 $ (1,681,441)
Change in net unrealized gains on available-for-sale investments included in other comprehensive income (loss):
Fixed maturity securities $ (321,232) $ 98,567
Short-term investments 684 (6,706)
Reserve deficiency adjustment for life and annuity benefit reserves (see note 8) 49,333 (12,872)
Net increase (decrease) $ (271,215) $ 78,989


	Quarter Ended September 30,				Nine Months Ended September 30,
(dollars in thousands)	2021		2020		2021		2020
Fixed maturity securities:
Realized gains	$	92	$	5,292	$	4,967	$	12,025
Realized losses	(390)		(1,209)		(471)		(7,480)
Change in allowance for expected credit losses	—		202		—		—
Short-term investments:
Realized gains	16		655		324		1,756
Realized losses	(294)		(43)		(1,021)		(399)
Other investment gains (losses)	(2,002)		38		1,434		5,959
Net realized investment gains (losses)	(2,578)		4,935		5,233		11,861
Equity securities:
Change in fair value of securities sold during the period	(400)		16,090		22,254		(453,258)
Change in fair value of securities held at the end of the period	(22,855)		518,277		1,148,304		210,501
Total change in fair value	(23,255)		534,367		1,170,558		(242,757)
Net investment gains (losses)	$	(25,833)	$	539,302	$	1,175,791	$	(230,896)
Change in net unrealized gains on available-for-sale investments included in other comprehensive income (loss):
Fixed maturity securities	$	(133,244)	$	96,723	$	(391,528)	$	431,811
Short-term investments	(4,855)		1,425		(3,076)		(2,153)
Reserve deficiency adjustment for life and annuity benefit reserves (see note 9)	6,428		(20,625)		56,690		(56,237)
Net increase (decrease)	$	(131,671)	$	77,523	$	(337,914)	$	373,421

4.5. Fair Value Measurements

ASC 820, Fair Value Measurements and Disclosures, establishes a three-level hierarchy that prioritizes the inputs to valuation techniques used to measure fair value. The fair value hierarchy gives the highest priority to quoted prices in active markets for identical assets or liabilities (Level 1) and the lowest priority to unobservable inputs (Level 3). If the inputs used to measure the assets or liabilities fall within different levels of the hierarchy, the classification is based on the lowest level input that is significant to the fair value measurement of the asset or liability.

Classification of assets and liabilities within the hierarchy considers the markets in which the assets and liabilities are traded and the reliability and transparency of the assumptions used to determine fair value. The hierarchy requires the use of observable market data when available. The levels of the hierarchy are defined as follows:

•Level 1 – Inputs to the valuation methodology are quoted prices (unadjusted) for identical assets or liabilities traded in active markets.

•

Level 2 – Inputs to the valuation methodology include quoted prices for similar assets or liabilities in active markets, quoted prices for identical or similar assets or liabilities in markets that are not active, inputs other than quoted prices that are observable for the asset or liability and market-corroborated inputs.

•

Level 3 – Inputs to the valuation methodology are unobservable for the asset or liability and are significant to the fair value measurement.

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In accordance with ASC 820, the Company determines fair value based on the price that would be received to sell an asset or paid to transfer a liability in an orderly transaction between market participants at the measurement date. In determining fair value, the Company uses various methods, including the market, income and cost approaches. The Company uses valuation techniques that maximize the use of observable inputs and minimize the use of unobservable inputs. The following section describes the valuation methodologies used by the Company to measure assets and liabilities at fair value, including an indication of the level within the fair value hierarchy in which each asset or liability is generally classified.

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Available-for-sale investments and equity securities. Available-for-sale investments and equity securities are recorded at fair value on a recurring basis. Available-for-sale investments include fixed maturity securities and short-term investments. Short-term investments include certificates of deposit, commercial paper, discount notes and treasury bills with original maturities of one year or less. Fair value ~~for available-for-sale investments and equity securities are~~is determined by the Company after considering various sources of information, including information provided by a ~~third party~~third-party pricing service. The pricing service provides prices for substantially all of the Company's fixed maturity securities and equity securities. In determining fair value, the Company generally does not adjust the prices obtained from the pricing service. The Company obtains an understanding of the pricing service's valuation methodologies and related inputs, which include, but are not limited to, reported trades, benchmark yields, issuer spreads, bids, offers, duration, credit ratings, estimated cash flows and prepayment speeds. The Company validates prices provided by the pricing service by reviewing prices from other pricing sources and analyzing pricing data in certain instances.

The Company has evaluated the various types of securities in its investment portfolio to determine an appropriate fair value hierarchy level based upon trading activity and the observability of market inputs. Level 1 investments include those traded on an active exchange, such as the New York Stock Exchange. Level 2 investments include U.S. Treasury securities, U.S. government-sponsored enterprises, municipal bonds, foreign government bonds, commercial mortgage-backed securities, residential mortgage-backed securities, asset-backed securities and corporate debt securities. Level 3 investments include the Company's investments in certain insurance-linked securities funds ~~managed by Markel CATCo Investment Management Ltd. (MCIM), a consolidated subsidiary,~~ that are not traded on an active exchange ~~as further described and defined in note 9 (the Markel CATCo Funds),~~ and are valued using unobservable inputs.

Fair value for available-for-sale investments and equity securities is measured based upon quoted prices in active markets, if available. Due to variations in trading volumes and the lack of quoted market prices, fixed maturity securities are classified as Level 2 investments. The fair value of fixed maturity securities is normally derived through recent reported trades for identical or similar securities, making adjustments through the reporting date based upon available market observable data previously described. If there are no recent reported trades, the fair value of fixed maturity securities may be derived through the use of matrix pricing or model processes, where future cash flow expectations are developed based upon collateral performance and discounted at an estimated market rate. Significant inputs used to determine the fair value of obligations of states, municipalities and political subdivisions, corporate bonds and obligations of foreign governments include reported trades, benchmark yields, issuer spreads, bids, offers, credit information and estimated cash flows. Significant inputs used to determine the fair value of commercial mortgage-backed securities, residential mortgage-backed securities and asset-backed securities include the type of underlying assets, benchmark yields, prepayment speeds, collateral information, tranche type and volatility, estimated cash flows, credit information, default rates, recovery rates, issuer spreads and the year of issue.

Due to the significance of unobservable inputs required in measuring the fair value of the Company's investments in ~~the Markel CATCo Funds,~~insurance-linked securities funds, these investments are classified as Level 3 within the fair value hierarchy. The fair value of the securities are derived using their reported net asset value (NAV) as the primary input, as well as other observable and unobservable inputs as deemed necessary by management. Management has obtained an understanding of the inputs, assumptions, process and controls used to determine NAV, which is calculated by an independent third party. Unobservable inputs to the NAV calculations include assumptions around premium earnings patterns and loss reserve estimates for the underlying securitized reinsurance contracts in which the Markel CATCo Funds invest. In July 2019, the Markel CATCo Funds were placed into run-off and capital is being returned to investors as it becomes available the timing of which is impacted by contractual terms regarding release of collateral on the underlying securitized reinsurance contracts, as well as required regulatory approvals.

contracts. The Company's valuation policies and procedures for Level 3 investments are determined by management. Fair value measurements are analyzed quarterly to ensure the change in fair value from prior periods is reasonable relative to management's understanding of the underlying investments, recent market trends and external market data.

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Senior long-term debt and other debt. Senior long-term debt and other debt is carried at amortized cost with the estimated fair value disclosed on the consolidated balance sheets. Senior long-term debt and other debt is classified as Level 2 within the fair value hierarchy due to variations in trading volumes and the lack of quoted market prices. Fair value ~~for senior long-term debt and other debt~~ is generally derived through recent reported trades for identical securities, making adjustments through the reporting date, if necessary, based upon available market observable data including U.S. Treasury securities and implied credit spreads. Significant inputs used to determine the fair value of senior long-term debt and other debt include reported trades, benchmark yields, issuer spreads, bids and offers.

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The following tables present the balances of assets measured at fair value on a recurring basis by level within the fair value hierarchy.


		March 31, 2021									September 30, 2021
(dollars in thousands)	(dollars in thousands)	Level 1		Level 2		Level 3		Total		(dollars in thousands)	Level 1		Level 2		Level 3		Total
Assets:	Assets:									Assets:
Investments:	Investments:									Investments:
Fixed maturity securities, available-for-sale:	Fixed maturity securities, available-for-sale:									Fixed maturity securities, available-for-sale:
U.S. Treasury securities	U.S. Treasury securities	$	0	$	924,317	$	0	$	924,317	U.S. Treasury securities	$	—	$	1,897,352	$	—	$	1,897,352
U.S. government-sponsored enterprises	U.S. government-sponsored enterprises	0		614,412		0		614,412		U.S. government-sponsored enterprises	—		777,032		—		777,032
Obligations of states, municipalities and political subdivisions	Obligations of states, municipalities and political subdivisions	0		4,212,388		0		4,212,388		Obligations of states, municipalities and political subdivisions	—		4,153,465		—		4,153,465
Foreign governments	Foreign governments	0		1,548,769		0		1,548,769		Foreign governments	—		1,531,805		—		1,531,805
Commercial mortgage-backed securities	Commercial mortgage-backed securities	0		1,858,311		0		1,858,311		Commercial mortgage-backed securities	—		2,034,034		—		2,034,034
Residential mortgage-backed securities	Residential mortgage-backed securities	0		839,872		0		839,872		Residential mortgage-backed securities	—		776,364		—		776,364
Asset-backed securities	Asset-backed securities	0		5,826		0		5,826		Asset-backed securities	—		3,482		—		3,482
Corporate bonds	Corporate bonds	0		824,250		0		824,250		Corporate bonds	—		789,053		—		789,053
Total fixed maturity securities, available-for-sale	Total fixed maturity securities, available-for-sale	0		10,828,145		0		10,828,145		Total fixed maturity securities, available-for-sale	—		11,962,587		—		11,962,587
Equity securities:	Equity securities:									Equity securities:
Insurance, banks and other financial institutions	Insurance, banks and other financial institutions	2,738,320		0		56,138		2,794,458		Insurance, banks and other financial institutions	3,032,545		—		56,625		3,089,170
Industrial, consumer and all other	Industrial, consumer and all other	4,734,359		0		0		4,734,359		Industrial, consumer and all other	5,131,704		—		—		5,131,704
Total equity securities	Total equity securities	7,472,679		0		56,138		7,528,817		Total equity securities	8,164,249		—		56,625		8,220,874
Short-term investments, available-for-sale	Short-term investments, available-for-sale	2,620,422		116,560		0		2,736,982		Short-term investments, available-for-sale	2,599,116		158,682		—		2,757,798
Total investments	Total investments	$	10,093,101	$	10,944,705	$	56,138	$	21,093,944	Total investments	$	10,763,365	$	12,121,269	$	56,625	$	22,941,259


	December 31, 2020
(dollars in thousands)	Level 1		Level 2		Level 3		Total
Assets:
Investments:
Fixed maturity securities, available-for-sale:
U.S. Treasury securities	$	—	$	589,300	$	—	$	589,300
U.S. government-sponsored enterprises	—		551,554		—		551,554
Obligations of states, municipalities and political subdivisions	—		4,289,841		—		4,289,841
Foreign governments	—		1,628,009		—		1,628,009
Commercial mortgage-backed securities	—		1,885,582		—		1,885,582
Residential mortgage-backed securities	—		870,445		—		870,445
Asset-backed securities	—		5,966		—		5,966
Corporate bonds	—		861,037		—		861,037
Total fixed maturity securities, available-for-sale	—		10,681,734		—		10,681,734
Equity securities:
Insurance, banks and other financial institutions	2,516,361		—		58,493		2,574,854
Industrial, consumer and all other	4,419,256		—		—		4,419,256
Total equity securities	6,935,617		—		58,493		6,994,110
Short-term investments, available-for-sale	1,922,459		111,640		—		2,034,099
Total investments	$	8,858,076	$	10,793,374	$	58,493	$	19,709,943

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December 31, 2020
(dollars in thousands) Level 1 Level 2 Level 3 Total
Assets:
Investments:
Fixed maturity securities, available-for-sale:
U.S. Treasury securities $ 0 $ 589,300 $ 0 $ 589,300
U.S. government-sponsored enterprises 0 551,554 0 551,554
Obligations of states, municipalities and political subdivisions 0 4,289,841 0 4,289,841
Foreign governments 0 1,628,009 0 1,628,009
Commercial mortgage-backed securities 0 1,885,582 0 1,885,582
Residential mortgage-backed securities 0 870,445 0 870,445
Asset-backed securities 0 5,966 0 5,966
Corporate bonds 0 861,037 0 861,037
Total fixed maturity securities, available-for-sale 0 10,681,734 0 10,681,734
Equity securities:
Insurance, banks and other financial institutions 2,516,361 0 58,493 2,574,854
Industrial, consumer and all other 4,419,256 0 0 4,419,256
Total equity securities 6,935,617 0 58,493 6,994,110
Short-term investments, available-for-sale 1,922,459 111,640 0 2,034,099
Total investments $ 8,858,076 $ 10,793,374 $ 58,493 $ 19,709,943

The following table summarizes changes in Level 3 investments measured at fair value on a recurring ~~basis, all of which are attributed to~~basis.


	Quarter Ended September 30,				Nine Months Ended September 30,
(dollars in thousands)	2021		2020		2021		2020
Equity securities, beginning of period	$	41,066	$	115,648	$	58,493	$	45,992
Purchases	18,900		—		18,900		90,000
Sales	—		(13,472)		(15,015)		(31,365)
Net investment losses	(3,341)		(126)		(5,753)		(2,577)


Equity securities, end of period	$	56,625	$	102,050	$	56,625	$	102,050

Level 3 investments include the Company's investments in ~~the~~insurance-linked securities funds managed by Markel CATCo ~~Funds.~~

Three Months Ended March 31,
(dollars in thousands) 2021 2020
Equity securities, beginning of period $ 58,493 $ 45,992
Purchases 0 90,000
Sales 0 (1,364)
Net investment gains (losses) (2,355) (3,321)
Equity securities, end of period $ 56,138 $ 131,307

Investment Management Ltd. (MCIM). See note 11 for further details regarding investments managed by MCIM. In connection with the run-off of one of the ~~Markel CATCo Funds~~funds managed by MCIM and to facilitate the return of capital to ~~third party~~third-party investors, the Company invested $90.0 million in that fund effective January 1, 2020. This investment replaced collateral previously provided by other investors for risk exposures within the underlying reinsurance contracts in which the fund is invested related to loss events that occur after December 31, 2019 and through the expiration of the reinsurance ~~contracts, all~~contracts. All of ~~which either had~~these reinsurance contracts expired or were commuted in ~~2020. Underwriting results for~~2020, resulting in the ~~2020 loss exposures on these contracts are attributed to~~subsequent return of a portion of the Company's capital. However, the Company continues to have exposure to adverse loss development on 2020 exposures under any unsettled contracts through its remaining investment in the ~~fund.~~fund ($40.9 million at September 30, 2021).

~~The~~Except as disclosed in note 3, the Company did not have any assets or liabilities measured at fair value on a non-recurring basis during the ~~three~~nine months ended ~~March 31,~~September 30, 2021 and 2020.

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5.6. Products, Services and Other Revenues

The amount of revenues from contracts with customers was $933.0 million and $839.2 million for the ~~three months~~quarters ended ~~March 31,~~September 30, 2021 and 2020, ~~was $719.6 million~~respectively, and ~~$542.2 million,~~$2.8 billion and $2.1 billion for the nine months ended September 30, 2021 and 2020, respectively.

The following tables present revenues from contracts with customers by segment and type, all of which are included in products revenues and services and other revenues in the consolidated statements of income (loss) and comprehensive income, ~~(loss).~~along with a reconciliation to total products revenues and services and other revenues.


		Three Months Ended March 31,													Quarter Ended September 30,
		2021						2020							2021						2020
(dollars in thousands)	(dollars in thousands)	Markel Ventures		Other		Total		Markel Ventures		Other		Total		(dollars in thousands)	Markel Ventures		Other		Total		Markel Ventures		Other		Total
Products	Products	$	318,642	$	0	$	318,642	$	338,238	$	0	$	338,238	Products	$	394,444	$	—	$	394,444	$	332,584	$	—	$	332,584
Services	Services	356,688		27,979		384,667		143,264		30,885		174,149		Services	487,942		30,027		517,969		467,377		18,136		485,513
Investment management	Investment management	0		16,337		16,337		0		29,823		29,823		Investment management	—		20,571		20,571		—		21,066		21,066
Total revenues from contracts with customers	Total revenues from contracts with customers	675,330		44,316		719,646		481,502		60,708		542,210		Total revenues from contracts with customers	882,386		50,598		932,984		799,961		39,202		839,163
Program services and other fronting	Program services and other fronting	0		27,617		27,617		0		25,704		25,704		Program services and other fronting	—		32,298		32,298		—		23,395		23,395
Other	Other	31,269		526		31,795		29,535		706		30,241		Other	25,796		345		26,141		24,167		896		25,063
Total	Total	$	706,599	$	72,459	$	779,058	$	511,037	$	87,118	$	598,155	Total	$	908,182	$	83,241	$	991,423	$	824,128	$	63,493	$	887,621


	Nine Months Ended September 30,
	2021						2020
(dollars in thousands)	Markel Ventures		Other		Total		Markel Ventures		Other		Total
Products	$	1,294,407	$	—	$	1,294,407	$	1,085,338	$	—	$	1,085,338
Services	1,313,054		95,908		1,408,962		850,861		86,143		937,004
Investment management	—		57,693		57,693		—		75,898		75,898
Total revenues from contracts with customers	2,607,461		153,601		2,761,062		1,936,199		162,041		2,098,240
Program services and other fronting	—		87,314		87,314		—		73,889		73,889
Other	82,824		1,002		83,826		77,051		1,579		78,630
Total	$	2,690,285	$	241,917	$	2,932,202	$	2,013,250	$	237,509	$	2,250,759

Receivables from contracts with customers were ~~$406.7~~$490.0 million and $406.4 million as of ~~March 31,~~September 30, 2021 and December 31, 2020, respectively.

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6.7. Unpaid Losses and Loss Adjustment Expenses

The following table presents a reconciliation of consolidated beginning and ending reserves for losses and loss adjustment expenses.


		Three Months Ended March 31,					Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)	2021		2020		(dollars in thousands)	2021		2020
Net reserves for losses and loss adjustment expenses, beginning of year	Net reserves for losses and loss adjustment expenses, beginning of year	$	10,485,717	$	9,475,261	Net reserves for losses and loss adjustment expenses, beginning of year	$	10,485,717	$	9,475,261
Effect of foreign currency rate changes on beginning of year balance	Effect of foreign currency rate changes on beginning of year balance	(9,485)		(96,339)		Effect of foreign currency rate changes on beginning of year balance	(52,117)		(25,659)
Effect of adoption of ASU No. 2016-13	Effect of adoption of ASU No. 2016-13	0		3,849		Effect of adoption of ASU No. 2016-13	—		3,849
Adjusted net reserves for losses and loss adjustment expenses, beginning of year	Adjusted net reserves for losses and loss adjustment expenses, beginning of year	10,476,232		9,382,771		Adjusted net reserves for losses and loss adjustment expenses, beginning of year	10,433,600		9,453,451
Incurred losses and loss adjustment expenses:	Incurred losses and loss adjustment expenses:					Incurred losses and loss adjustment expenses:
Current accident year	Current accident year	970,748		1,180,365		Current accident year	3,009,260		3,088,228
Prior accident years	Prior accident years	(90,870)		(104,072)		Prior accident years	(366,171)		(435,467)
Total incurred losses and loss adjustment expenses	Total incurred losses and loss adjustment expenses	879,878		1,076,293		Total incurred losses and loss adjustment expenses	2,643,089		2,652,761
Payments:	Payments:					Payments:
Current accident year	Current accident year	52,770		58,699		Current accident year	365,640		469,447
Prior accident years	Prior accident years	633,025		591,513		Prior accident years	1,678,164		1,407,641
Total payments	Total payments	685,795		650,212		Total payments	2,043,804		1,877,088
Effect of foreign currency rate changes on current year activity	Effect of foreign currency rate changes on current year activity	475		(488)		Effect of foreign currency rate changes on current year activity	(1,339)		(220)

Net reserves for losses and loss adjustment expenses of insurance companies sold						Net reserves for losses and loss adjustment expenses of insurance companies sold	(2,762)		—
Net reserves for losses and loss adjustment expenses, end of period	Net reserves for losses and loss adjustment expenses, end of period	10,670,790		9,808,364		Net reserves for losses and loss adjustment expenses, end of period	11,028,784		10,228,904
Reinsurance recoverables on unpaid losses	Reinsurance recoverables on unpaid losses	5,929,710		5,230,448		Reinsurance recoverables on unpaid losses	6,582,415		5,494,327
Gross reserves for losses and loss adjustment expenses, end of period	Gross reserves for losses and loss adjustment expenses, end of period	$	16,600,500	$	15,038,812	Gross reserves for losses and loss adjustment expenses, end of period	$	17,611,199	$	15,723,231

For the ~~three~~nine months ended ~~March 31,~~September 30, 2021, current accident year losses and loss adjustment expenses included ~~$64.3~~$182.3 million of net losses and loss adjustment expenses from Winter Storm ~~Uri.~~Uri, European Floods and Hurricane Ida (2021 Catastrophes). The net losses and loss adjustment expenses from ~~Winter Storm Uri~~the 2021 Catastrophes as of ~~March 31,~~September 30, 2021 represent the Company's best estimates based upon information currently available. The estimates for these losses are based on claims received to date, detailed policy and reinsurance contract level reviews, preliminary industry loss estimates and output from both industry and proprietary models, as well as analysis of the Company's ceded reinsurance contracts. Due to ~~the~~ limited claims activity, ~~thus far,~~ these estimates are based on various assumptions about coverage, liability and reinsurance and are therefore subject to change. While the Company believes its reserves for ~~Winter Storm Uri~~the 2021 Catastrophes as of ~~March 31,~~September 30, 2021 are adequate, it continues to closely monitor reported claims and will adjust estimates of gross and net losses as new information becomes available.

For the ~~three~~nine months ended ~~March 31,~~September 30, 2020, current accident year losses and loss adjustment expenses included ~~$325.0~~$371.8 million of net losses and loss adjustment expenses attributed to the COVID-19 ~~pandemic.~~pandemic, including $356.8 million for which COVID-19 was identified as the proximate, or direct, cause of loss and $15.0 million that were indirectly attributable to COVID-19. Current accident year losses and loss adjustment expenses for the nine months ended September 30, 2020 also included $101.8 million of net losses and loss adjustment expenses from Hurricanes Laura, Sally and Isaias as well as the derecho in Iowa and wildfires in the western U.S. (2020 Catastrophes).

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For the ~~three~~nine months ended ~~March 31,~~September 30, 2021, prior accident ~~years'~~years losses and loss adjustment expenses included ~~$90.9~~$366.2 million of favorable development on prior ~~years'~~years loss reserves, which included ~~$89.1~~$324.8 million of favorable development on the Company's general liability, property, workers' compensation, professional liability, and marine and energy ~~general liability, workers' compensation and property~~ product lines within the Insurance segment. Favorable development on prior ~~years'~~years loss reserves for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 was partially offset by ~~$18.6~~$30.6 million of adverse development on the Company's property product lines within the Reinsurance segment, ~~related~~due in part to ~~COVID-19.~~an increase in our estimate of ultimate losses and loss adjustment expenses directly attributed to COVID-19 in the first quarter of 2021. The Company's estimate of ultimate losses directly attributed to COVID-19 is based on assumptions about coverage, liability and reinsurance, for which significant uncertainty still exists, and represents the Company's best estimate as of ~~March 31,~~September 30, 2021 based upon information currently available. While the Company believes the net reserves for losses and loss adjustment expenses for COVID-19 as of ~~March 31,~~September 30, 2021 are adequate based on information available at this time, the Company ~~will continue~~continues to closely monitor reported claims, ceded reinsurance contract attachment, government actions, judicial decisions and changes in the levels of worldwide social disruption and economic activity arising from the pandemic and will adjust the estimates of gross and net losses as new information becomes available. Such adjustments to the Company's reserves for COVID-19 losses and loss adjustment expenses may be material to the Company's results of operations, financial condition and cash flows.

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For the ~~three~~nine months ended ~~March 31,~~September 30, 2020, prior accident ~~years'~~years losses and loss adjustment expenses included ~~$104.1~~$435.5 million of favorable development on prior ~~years'~~years loss reserves, which included ~~$89.6~~$294.9 million of favorable development on the Company's general liability, professional liability and workers' compensation ~~and marine and energy~~ product lines within the Insurance ~~segment. Favorable development on prior years' loss reserves for the three months ended March 31, 2020 was partially offset by $13.9 million of adverse development~~segment and property product lines within the Reinsurance segment.

7.8. Reinsurance

The following table summarizes the effect of reinsurance and retrocessional reinsurance on premiums written and earned.


		Three Months Ended March 31,																	Quarter Ended September 30,
		2021								2020									2021								2020
(dollars in thousands)	(dollars in thousands)	Direct		Assumed		Ceded		Net Premiums		Direct		Assumed		Ceded		Net Premiums		(dollars in thousands)	Direct		Assumed		Ceded		Net Premiums		Direct		Assumed		Ceded		Net Premiums
Underwriting:	Underwriting:																	Underwriting:
Written	Written	$	1,549,097	$	621,748	$	(289,313)	$	1,881,532	$	1,349,241	$	578,656	$	(279,389)	$	1,648,508	Written	$	1,776,716	$	303,551	$	(393,195)	$	1,687,072	$	1,420,067	$	315,774	$	(337,181)	$	1,398,660
Earned	Earned	1,431,333		365,898		(299,100)		1,498,131		1,275,671		326,700		(269,538)		1,332,833		Earned	1,599,931		363,665		(331,397)		1,632,199		1,323,451		362,539		(290,058)		1,395,932
Program services and other fronting:	Program services and other fronting:																	Program services and other fronting:
Written	Written	608,037		25,970		(634,469)		(462)		388,924		6,003		(396,957)		(2,030)		Written	711,182		177,153		(890,597)		(2,262)		518,921		17,972		(538,277)		(1,384)
Earned	Earned	583,160		14,905		(598,501)		(436)		545,343		13,723		(561,190)		(2,124)		Earned	634,520		103,008		(739,227)		(1,699)		491,524		14,489		(507,517)		(1,504)
Consolidated:	Consolidated:																	Consolidated:
Written	Written	2,157,134		647,718		(923,782)		1,881,070		1,738,165		584,659		(676,346)		1,646,478		Written	2,487,898		480,704		(1,283,792)		1,684,810		1,938,988		333,746		(875,458)		1,397,276
Earned	Earned	$	2,014,493	$	380,803	$	(897,601)	$	1,497,695	$	1,821,014	$	340,423	$	(830,728)	$	1,330,709	Earned	$	2,234,451	$	466,673	$	(1,070,624)	$	1,630,500	$	1,814,975	$	377,028	$	(797,575)	$	1,394,428


	Nine Months Ended September 30,
	2021								2020
(dollars in thousands)	Direct		Assumed		Ceded		Net Premiums		Direct		Assumed		Ceded		Net Premiums
Underwriting:
Written	$	5,082,494	$	1,269,578	$	(1,031,546)	$	5,320,526	$	4,229,398	$	1,211,335	$	(936,342)	$	4,504,391
Earned	4,542,680		1,081,494		(925,176)		4,698,998		3,886,390		1,035,501		(832,196)		4,089,695
Program services and other fronting:
Written	2,056,328		249,067		(2,308,590)		(3,195)		1,475,709		52,308		(1,532,259)		(4,242)
Earned	1,800,489		141,676		(1,944,931)		(2,766)		1,535,248		54,800		(1,594,432)		(4,384)
Consolidated:
Written	7,138,822		1,518,645		(3,340,136)		5,317,331		5,705,107		1,263,643		(2,468,601)		4,500,149
Earned	$	6,343,169	$	1,223,170	$	(2,870,107)	$	4,696,232	$	5,421,638	$	1,090,301	$	(2,426,628)	$	4,085,311

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Substantially all of the premiums written and earned in the Company's program services and other fronting operations for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021 and 2020 were ceded. The percentage of consolidated ceded earned premiums to gross earned premiums was ~~37%~~40% and 38% for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, respectively, and 36% and 37% for the quarter and nine months September 30, 2020, respectively. The percentage of consolidated assumed earned premiums to net earned premiums was ~~25%~~29% and 26% and for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, respectively, and ~~2020, respectively.~~27% for both the quarter and nine months September 30, 2020.

Substantially all of the incurred losses and loss adjustment expenses in the Company's program services and other fronting operations, which totaled ~~$443.0~~$620.1 million and ~~$308.0 million~~$1.7 billion for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, respectively, and $412.7 million and $1.1 billion for the quarter and nine months ended September 30, 2020, respectively, were ceded.

The following table summarizes the effect of reinsurance and retrocessional reinsurance on losses and loss adjustment expenses in the Company's underwriting operations.


		Three Months Ended March 31,			Quarter Ended September 30,						Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021			2020		(dollars in thousands)	2021		2020		2021		2020
Gross	Gross		$	1,073,923		$	1,243,557	Gross	$	1,238,974	$	1,023,479	$	3,306,035	$	3,135,105
Ceded	Ceded		(191,971)			(167,180)		Ceded	(290,834)		(160,387)		(660,479)		(481,874)
Net losses and loss adjustment expenses	Net losses and loss adjustment expenses		$	881,952		$	1,076,377	Net losses and loss adjustment expenses	$	948,140	$	863,092	$	2,645,556	$	2,653,231

8.9. Life and Annuity Benefits

Life and annuity benefits are compiled on a reinsurance contract-by-contract basis and are discounted using standard actuarial techniques and cash flow models. Since the development of the life and annuity reinsurance reserves is based upon cash flow projection models, the Company must make estimates and assumptions based on cedent experience, industry mortality tables, and expense and investment experience, including a provision for adverse deviation. The assumptions used to determine policy benefit reserves are generally locked-in for the life of the contract unless an unlocking event occurs. Loss recognition testing is performed to determine if existing policy benefit reserves, together with the present value of future gross premiums and expected investment income earned thereon, are adequate to cover the present value of future benefits, settlement and maintenance costs. If the existing policy benefit reserves are not sufficient, the locked-in assumptions are revised to current best estimate assumptions and a charge to earnings for life and annuity benefits is recognized at that time.

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Life and annuity benefits are also adjusted to the extent unrealized gains on the investments supporting the policy benefit reserves would result in a reserve deficiency if those gains were realized. As of ~~March 31,~~September 30, 2021 and December 31, 2020, the cumulative adjustment to life and annuity benefits attributable to unrealized gains on the underlying investment portfolio totaled ~~$70.3~~$62.9 million and $119.6 million, respectively. ~~The $49.3 million decrease in~~During the ~~cumulative adjustment to~~quarter and nine months ended September 30, 2021, the Company decreased life and annuity benefits ~~for the three months ended March 31, 2021 reflects~~by $6.4 million and $56.7 million, respectively, reflecting an increase in the market yield on the investment portfolio supporting the policy benefit reserves, ~~during the period for which the Company decreased life and annuity benefits~~ and increased the change in net unrealized holding gains included in other comprehensive ~~income (loss)~~loss by a corresponding amount. During the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2020, the Company increased life and annuity benefits by ~~$12.9~~$20.6 million and $56.2 million, respectively, as a result of decreases in the market yield on the investment portfolio supporting the policy benefit reserves, and decreased the change in net unrealized holding gains included in other comprehensive income ~~(loss)~~ by a corresponding amount.

9.10. Senior Long-Term Debt and Other Debt

In May 2021, the Company issued $600 million of 3.45% unsecured senior notes due May 2052. Net proceeds to the Company were $591.4 million, before expenses. The Company expects to use a portion of these proceeds to retire its 4.9% unsecured senior notes due July 1, 2022 ($350.0 million aggregate principal outstanding at September 30, 2021) and the remainder for general corporate purposes.

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11. Variable Interest Entities

MCIM, a wholly-owned consolidated subsidiary of the Company, is an insurance-linked securities investment fund manager and reinsurance manager headquartered in Bermuda. Results attributable to MCIM are not included in a reportable segment.

MCIM serves as the insurance manager for Markel CATCo Re Ltd. (Markel CATCo Re), a Bermuda Class 3 reinsurance company, and as the investment manager for Markel CATCo Reinsurance Fund Ltd., a Bermuda exempted mutual fund company comprised of multiple segregated accounts (Markel CATCo Funds). The Markel CATCo Funds ~~issue~~issued multiple classes of nonvoting, redeemable preference shares to investors, and the Markel CATCo Funds are primarily invested in nonvoting preference shares of Markel CATCo Re. The underwriting results of Markel CATCo Re are attributed to the Markel CATCo Funds through those nonvoting preference shares. Voting shares in Markel CATCo Reinsurance Fund Ltd. and Markel CATCo Re are held by MCIM.

The Markel CATCo Funds and Markel CATCo Re are considered VIEs, as their preference shareholders have no voting rights. MCIM has the power to direct the activities that most significantly impact the economic performance of these entities, but does not have a variable interest in any of the entities. With the exception of an investment in one of the Markel CATCo Funds ($~~56.1~~40.9 million and $58.5 million as of ~~March 31,~~September 30, 2021 and December 31, 2020, respectively), the Company's involvement is generally limited to that of an investment or insurance manager, receiving fees that are at market and commensurate with the level of effort required. The Company is not the primary beneficiary of the Markel CATCo Funds or Markel CATCo Re and therefore does not consolidate these entities.

The Company's exposure to risk from unconsolidated Markel CATCo Funds and Markel CATCo Re is generally limited to its investment and any earned but uncollected fees. The Company has not issued any investment performance guarantees to these VIEs or their investors. As of ~~March 31,~~September 30, 2021 and December 31, 2020, net assets under management of MCIM for unconsolidated VIEs were ~~$817.2~~$781.2 million and $929.2 million, respectively.

In July 2019, both the Markel CATCo Funds and Markel CATCo Re were placed into ~~run-off, and MCIM is returning capital to investors as it becomes available.~~run-off. See note 1214 for further details regarding developments in the Company's Markel CATCo operations.

~~10.~~12. Related Party Transactions

The Company engages in certain related party transactions in the normal course of business at arm's length.

Insurance-Linked Securities

Within the Company's ~~Nephila~~ insurance-linked securities operations, the Company provides investment and insurance management services through Nephila Holdings Ltd. (together with its consolidated subsidiaries, Nephila). Nephila serves as the investment manager to several Bermuda, Ireland and U.S. based private funds (the Nephila Funds). To provide access for the Nephila Funds to the insurance, reinsurance and weather markets, Nephila also provides managing general agent services and acts as an insurance manager to certain Bermuda Class 3 and 3A reinsurance companies and Lloyd's Syndicate 2357 (Syndicate 2357) (collectively, the Nephila Reinsurers)~~. The Company~~, as well as other unaffiliated insurance entities. Nephila receives management fees for investment and insurance management services provided through ~~Nephila's~~its insurance-linked securities operations based on the net asset value of the accounts managed, and, for certain funds, incentive fees based on the annual performance of the funds managed. Nephila also receives commissions from the Nephila Reinsurers, which are based on the direct written premiums of the insurance contracts placed. For the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, total revenues attributed to unconsolidated entities managed by Nephila were $32.8 million and $103.5 million, respectively. For the quarter and nine months ended September 30, 2020, total revenues attributed to unconsolidated entities managed by Nephila were ~~$28.6~~$29.8 million and ~~$41.5~~$113.5 million, respectively.

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Through the Company's program services operations and other fronting arrangements, the Company has programs with Nephila through which the Company writes insurance policies that are ceded to Syndicate 2357 and certain other Nephila Reinsurers. Through these programs, Nephila utilizes certain of the Company's licensed insurance companies to write U.S. ~~catastrophe exposed~~catastrophe-exposed property risk that is then ceded to Nephila Reinsurers. ~~For the three months ended March 31, 2021 and 2020, gross~~Gross premiums written through these programs with Nephila were ~~$117.3~~$283.7 million and ~~$90.5~~$587.7 million for the quarter and nine months ended September 30, 2021, respectively, and $119.2 million and $332.6 million for the quarter and nine months ended September 30, 2020, respectively, all of which were ceded to Nephila Reinsurers. As of ~~March 31,~~September 30, 2021 and December 31, 2020, reinsurance recoverables on the consolidated balance sheets included ~~$365.2~~$601.9 million and $353.8 million, respectively, due from Nephila Reinsurers. Under these programs, the Company bears underwriting risk for annual aggregate agreement year losses in excess of a limit the Company believes is unlikely to be exceeded. To the extent losses under these programs exceed the prescribed limits, the Company is obligated to pay such losses to the cedents without recourse to the Nephila Reinsurers. While the Company believes losses under these programs are unlikely, those losses, if incurred, could be material to the Company's consolidated results of operations and financial condition.

The Company has also entered into other assumed and ceded reinsurance transactions with the Nephila Reinsurers in the normal course of business, which are not material to the Company's consolidated financial statements.

The Hagerty Group, LLC

The Company holds a minority ownership interest in The Hagerty Group, LLC, which is accounted for under the equity method. Hagerty Group primarily operates as a managing general agent under the names Hagerty Insurance Agency and Hagerty Classic Marine Insurance Agency (collectively, Hagerty). Hagerty Group also includes Hagerty Re, a Bermuda Class 3 reinsurance company. Essentia Insurance Company (Essentia), one of the Company's insurance subsidiaries, is the exclusive insurance underwriter for Hagerty in the U.S., and a portion of this insurance is ceded to Hagerty Re. For the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, gross written premiums attributable to Hagerty written on Essentia were $167.6 million and $464.3 million, respectively, of which $94.8 million and $263.2 million, respectively, were ceded to Hagerty Re. For the quarter and nine months ended September 30, 2020 gross written premiums attributable to Hagerty written on Essentia were ~~$119.9~~$144.8 million and ~~$100.9~~$399.7 million, respectively, of which ~~$67.9~~$68.4 million and ~~$47.8~~$189.0 million, respectively, were ceded to Hagerty Re.

~~11.~~13. Shareholders' Equity

a) The Company has 50,000,000 shares of 0no par value common stock authorized. The following table presents a rollforward of changes in common shares issued and outstanding.


		Three Months Ended March 31,			Quarter Ended September 30,		Nine Months Ended September 30,
(in thousands)	(in thousands)	2021	2020	(in thousands)	2021	2020	2021	2020
Issued and outstanding common shares, beginning of year		13,783	13,794
Issued and outstanding common shares, beginning of period				Issued and outstanding common shares, beginning of period	13,734	13,776	13,783	13,794
Issuance of common shares	Issuance of common shares	1	2	Issuance of common shares	1	2	4	5
Repurchase of common shares	Repurchase of common shares	(19)	(21)	Repurchase of common shares	(50)	—	(102)	(21)
Issued and outstanding common shares, end of period	Issued and outstanding common shares, end of period	13,765	13,775	Issued and outstanding common shares, end of period	13,685	13,778	13,685	13,778

b) The Company has 10,000,000 shares of 0no par value preferred stock authorized, of which 600,000 shares were issued and outstanding at ~~March 31,~~September 30, 2021 and December 31, 2020. The outstanding preferred shares were issued in May 2020 for an aggregate initial purchase price of $600 million and net proceeds of $591.9 million. The Company declared and paid dividends on preferred shares of $18.0 million, or $30 per share, in the second quarter of 2021.

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c) Net income (loss) per common share was determined by dividing adjusted net income (loss) to common shareholders by the applicable weighted average common shares outstanding. Basic common shares outstanding include restricted stock units that are no longer subject to any contingencies for issuance, but for which corresponding shares have not been issued. Diluted net income (loss) per common share is computed by dividing adjusted net income (loss) to common shareholders by the weighted average number of common shares and dilutive potential common shares outstanding during the period.


		Three Months Ended March 31,			Quarter Ended September 30,						Nine Months Ended September 30,
(in thousands, except per share amounts)	(in thousands, except per share amounts)		2021			2020		(in thousands, except per share amounts)	2021		2020		2021		2020
Net income (loss) to common shareholders	Net income (loss) to common shareholders		$	573,694		$	(1,405,763)	Net income (loss) to common shareholders	$	188,070	$	452,726	$	1,535,874	$	(31,269)
Adjustment of redeemable noncontrolling interests	Adjustment of redeemable noncontrolling interests		7,906			16,013		Adjustment of redeemable noncontrolling interests	19,930		(23,621)		41,553		(20,681)
Adjusted net income (loss) to common shareholders	Adjusted net income (loss) to common shareholders		$	581,600		$	(1,389,750)	Adjusted net income (loss) to common shareholders	$	208,000	$	429,105	$	1,577,427	$	(51,950)

Basic common shares outstanding	Basic common shares outstanding		13,819			13,815		Basic common shares outstanding	13,758		13,809		13,790		13,811

Dilutive potential common shares from restricted stock units and restricted stock (1)	Dilutive potential common shares from restricted stock units and restricted stock (1)		22			0		Dilutive potential common shares from restricted stock units and restricted stock (1)	27		18		23		—
Diluted common shares outstanding	Diluted common shares outstanding		13,841			13,815		Diluted common shares outstanding	13,785		13,827		13,813		13,811
Basic net income (loss) per common share	Basic net income (loss) per common share		$	42.09		$	(100.60)	Basic net income (loss) per common share	$	15.12	$	31.07	$	114.39	$	(3.76)
Diluted net income (loss) per common share (1)	Diluted net income (loss) per common share (1)		$	42.02		$	(100.60)	Diluted net income (loss) per common share (1)	$	15.09	$	31.03	$	114.20	$	(3.76)

(1) The impact of restricted stock units and restricted stock of 13 thousand shares was excluded from the computation of diluted earnings per common share for the ~~three~~nine months ended ~~March 31,~~September 30, 2020 because the effect would have been anti-dilutive.

~~12.~~14. Commitments and Contingencies

a) Late in the fourth quarter of 2018, the Company was contacted by and received inquiries from the U.S. Department of Justice (DOJ), U.S. Securities and Exchange Commission (SEC) and Bermuda Monetary Authority (BMA) (collectively, Governmental Authorities) into loss reserves recorded in late 2017 and early 2018 at Markel CATCo Re (the Markel CATCo Inquiries), an unconsolidated subsidiary managed by MCIM. As a result, the Company engaged outside counsel to conduct an internal review.

The internal review was completed in April 2019 and found no evidence that MCIM personnel acted in bad faith in exercising business judgment in the setting of reserves and making related disclosures during late 2017 and early 2018. The Company's outside counsel ~~has~~ met with the Governmental Authorities and reported the findings from the internal review. ~~The~~

On September 27, 2021, the SEC notified the Company ~~cannot~~that it has concluded its investigation and it does not intend to recommend an enforcement action against MCIM. On September 28, 2021, the Company was advised by the DOJ that it has concluded its investigation and will not take any action against MCIM. Throughout the Markel CATCo Inquiries, the Company has proactively kept the BMA informed of the status of the SEC and DOJ investigations, including the recent conclusion of those investigations. There are currently ~~predict~~no pending requests from the ~~duration, scope or result of~~BMA, and it has been over a year since the BMA has contacted the Company in relation to the Markel CATCo Inquiries.

~~The Markel CATCo Inquiries, as well as other matters~~Matters related to or arising from the Company's Markel CATCo ~~Inquiries,~~operations, including matters of which the Company is currently unaware, could result in additional claims, litigation, investigations, enforcement actions or proceedings. For example, ~~additional~~ litigation may be filed by investors in the Markel CATCo Funds. The Company also could become subject to increased regulatory scrutiny, investigations or proceedings in any of the jurisdictions where it operates. If any regulatory authority takes action against the Company or the Company enters into an agreement to settle a matter, the Company may incur sanctions or be required to pay substantial fines or implement remedial measures that could prove costly or disruptive to its businesses and operations. Costs associated with the Company's internal review, including legal and investigation costs, as well as legal costs incurred in connection with any existing or future litigation, are being expensed as incurred.

An unfavorable outcome ~~in one or more of these matters, and others the Company cannot anticipate,~~ could have a material adverse effect on the Company's results of operations and financial condition. In addition, the Company may take further steps to mitigate potential risks or liabilities that may arise from the Markel CATCo Inquiries and related developments and some of those steps may have a material impact on the Company's results of operations or financial condition. Even if an unfavorable outcome does not materialize, these matters ~~and actions the Company may take in response,~~ could have an adverse impact on the Company's reputation and result in substantial expense and disruption. Costs associated with the Markel CATCo Inquiries, as well as legal costs incurred in connection with any related litigation or disputes, are being expensed as incurred.

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In addition, the Company may take steps to mitigate potential risks or liabilities related to or arising from the Company's Markel CATCo operations. For example, in September and October 2021, the Company announced the terms of a proposed transaction that would allow the acceleration of a full return of remaining capital to investors in the Markel CATCo Funds, which are currently in run-off. Under the terms of the proposed transaction, the Company would provide cash funding that is not expected to exceed $270 million and tail risk cover of $100 million to Markel CATCo Re in exchange for the Markel CATCo Funds' interests in Markel CATCo Re. The Company would also make $75 million in payments to or for the benefit of investors, which would be an expense to the Company. These amounts are estimates and are subject to change based on the NAV of the Markel CATCo Funds at the closing of the transaction, the amount of capital available for distribution from the Markel CATCo Funds at the closing of the transaction and the ultimate level of tail risk cover provided by the Company. As a result of the transaction, the Company would have exposure to adverse loss development on reinsurance contracts written by Markel CATCo Re for loss events that occurred in 2020 and prior years. However, subsequent favorable development on loss reserves held by Markel CATCo Re, less estimated transaction costs and operating expenses, would be distributed to investors. As a condition to this transaction, all investors in the Markel CATCo Funds, the Markel CATCo Group Companies (MCIM, the Markel CATCo Funds and Markel CATCo Re), Markel Corporation and each of their related parties, among others, would grant mutual releases of all claims related to the transaction, the Markel CATCo Group Companies' businesses and the investors' investments in the Funds. Over 90% of investors in the Markel CATCo Funds have indicated support for the proposed transaction, but it is still subject to formal investor approval and is also subject to court approvals in both Bermuda and the United States. If all required approvals are obtained, the transaction is expected to close in the fourth quarter of 2021. Other steps the Company may take to mitigate potential risks or liabilities related to or arising from the Company's Markel CATCo operations could have a material impact on the Company's results of operations or financial condition.

b) In 2019, the Company established Lodgepine Capital Management Limited ~~(Lodgepine)~~(LCM), a new retrocessional insurance-linked securities investment fund manager in Bermuda. ~~Lodgepine's~~LCM's initial product offering ~~will be~~is Lodgepine Fund Limited (Lodgepine Fund), a property catastrophe retrocessional investment fund, and subject to certain conditions, the Company has committed to invest up to $100 million in Lodgepine Fund. Lodgepine Fund ~~Limited.~~launched July 1, 2021 with initial investor capital of $98.9 million, including an initial investment by the Company of $18.9 million.

c) Contingencies arise in the normal course of the Company's operations and are not expected to have a material impact on the Company's financial condition or results of operations.

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Item 2. Management's Discussion and Analysis of Financial Condition and Results of Operations

The accompanying consolidated financial statements and related notes have been prepared in accordance with United States (U.S.) generally accepted accounting principles (GAAP) and include the accounts of Markel Corporation and its consolidated subsidiaries, as well as any variable interest entities that meet the requirements for consolidation (the Company). See note 1(b) of the notes to consolidated financial statements for details of recently issued accounting pronouncements that we have not yet adopted and the expected effects on our consolidated financial position, results of operations and cash flows.

On March 11, 2020, COVID-19, a novel coronavirus outbreak, was declared a pandemic by the World Health Organization. This pandemic has caused unprecedented social and economic disruption, increased volatility of capital markets and intervention by various governments and central banks around the world. Readers are urged to review our 2020 Annual Report on Form 10-K for a comprehensive description of the impacts of the COVID-19 pandemic on our businesses and results of operations, financial condition and cash flows in 2020, as well as a description of potential future impacts to our businesses and results of operations, financial condition and cash flows, including in "Developments Related to COVID-19" under Item 7 Management's Discussion and Analysis of Financial Condition and Results of Operations. There were no material changes in ~~the Company's~~our assessment of the risks and uncertainties associated with the COVID-19 pandemic during the ~~three~~nine months ended ~~March 31,~~September 30, 2021.

Our Business

We are a diverse financial holding company serving a variety of niche markets. We aspire to build one of the world's great companies and deploy three financial engines in pursuit of this goal.

Insurance - Our principal business markets and underwrites specialty insurance products using multiple platforms that enable us to best match risk and capital.

Investing - Our investing activities are primarily related to our underwriting operations. The majority of our investable assets come from premiums paid by policyholders and the remainder is comprised of shareholder funds.

Markel Ventures - Through our Markel Ventures operations, we own controlling interests in a diverse portfolio of businesses that operate outside of the specialty insurance marketplace.

Our financial goals are to earn consistent underwriting and operating profits and superior investment returns to build shareholder value. We measure financial success by our ability to grow book value per common share and the market price per common share of our stock, or total shareholder return, at high rates of return over a long period of time. To mitigate effects of short-term volatility and align with the longer-term perspective we apply to operating our businesses, we generally use five-year time periods to measure our performance. Growth in book value per common share is an important measure of our success because it includes all underwriting, operating and investing results. Over the five-year period ended ~~March 31,~~September 30, 2021, the compound annual growth in book value per common share outstanding was 9%10%. Growth in total shareholder value is also an important measure of our success, as a significant portion of our operations are not recorded at fair value or otherwise captured in book value. Over the five-year period ended ~~March 31,~~September 30, 2021, our common share price increased at a compound annual rate of 5%.

Insurance

Our insurance engine is comprised of the following types of operations:

•Underwriting - Our underwriting operations are comprised of our risk-bearing insurance and reinsurance operations.

•Insurance-linked securities - Our insurance-linked securities (ILS) operations include investment fund managers that offer a variety of investment products, including insurance-linked securities, catastrophe bonds, insurance swaps and weather derivatives, as well as managing general agents that place risks with the funds managed or with third parties.

•Program services - Our program services business serves as a fronting platform that provides other insurance entities access to the U.S. property and casualty insurance market.

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Through our underwriting, ILS and program services operations, we have a suite of capabilities through which we can access capital to support our customers' risks, which includes our own capital through our underwriting operations, as well as ~~third party~~third-party capital through our ILS and program services operations. Within each of these platforms, we believe that our specialty product focus and niche market strategy enable us to develop expertise and specialized market knowledge. We seek to

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differentiate ourselves from competitors by our expertise, service, continuity and other value-based considerations, including the multiple platforms through which we can manage risk and deploy capital. Our ability to access multiple insurance platforms allows us to achieve income streams from our insurance operations beyond the traditional underwriting model.

Underwriting

Our chief operating decision maker allocates resources to and assesses the performance of our ongoing underwriting operations on a global basis in the following two segments: Insurance and Reinsurance. In determining how to monitor our underwriting results, we consider many factors, including the nature of the insurance product sold, the type of account written and the type of customer served. The Insurance segment includes all direct business and facultative placements written across the Company. The Reinsurance segment includes all treaty reinsurance written across the Company.

Our Insurance segment includes both hard-to-place risks written outside of the standard market on an excess and surplus lines basis and unique and hard-to-place risks that must be written on an admitted basis due to marketing and regulatory reasons. Risks written in our Insurance segment are written on either a direct basis or a subscription basis, the latter of which means that the loss exposures brought into the market are typically insured by more than one insurance company or Lloyd's of London (Lloyd's) syndicate. When we write business in the subscription market, we prefer to participate as lead underwriter in order to control underwriting terms, policy conditions and claims handling. The following products are included in this segment: general liability, professional liability, primary and excess of loss property, personal property, workers' compensation, marine and energy ~~liability~~and credit and surety coverages, specialty program insurance for well-defined niche markets and liability and other coverages tailored for unique exposures. Business in this segment is primarily written through our Markel Specialty and Markel International divisions. The Markel Specialty division writes business on both an excess and surplus lines and admitted basis, primarily based in the United States, as well as Bermuda, London, and Europe. The Markel International division writes business worldwide from our London and Munich-based platforms, which include branch offices around the world. The Insurance segment also includes collateral protection insurance written on an admitted basis through our State National division.

Our Reinsurance segment includes casualty, specialty and property treaty reinsurance products offered to other insurance and reinsurance companies globally through the broker market. Our treaty reinsurance offerings include both quota share and excess of loss reinsurance and are typically written on a participation basis, which means each reinsurer shares proportionally in the business ceded under the reinsurance treaty written. Principal lines of business include: professional liability, general liability, workers' compensation, credit and surety and property. Business in this segment is written primarily by our Global Reinsurance division. Effective January 2021, we discontinued writing property reinsurance business, including catastrophe-exposed property ~~reinsurance~~ business, on a risk-bearing basis within our Global Reinsurance division. Instead, any such business written is now ceded to our Nephila ILS operations to be placed with ~~third party~~third-party capital to the extent it fits the ILS investors' risk profile and ~~will be~~is included with our other fronting operations, which are not included in a reportable segment. However, as some of our reinsurance contracts were written with multi-year terms, we will continue to have ~~catastrophe-exposure~~property loss exposure, including catastrophe exposure, through the expiration of those contracts, some of which extend into 2023. We also continue to have property loss exposure ~~to catastrophes~~ on our retrocessional reinsurance property ~~business.~~business, a portion of which was ceded to Lodgepine Reinsurance Limited (Lodgepine Re) effective July 1, 2021.

Insurance-Linked Securities

Our insurance-linked securities operations are primarily comprised of our Nephila operations and are not included in a reportable segment. Nephila Holdings Ltd. (together with its subsidiaries, Nephila) serves as an insurance and investment fund manager and managing general agent that offers a broad range of investment products, including insurance-linked securities, catastrophe bonds, insurance swaps and weather derivatives. Nephila serves as the investment manager to several Bermuda, Ireland and U.S. based private funds (the Nephila Funds). To provide access for the Nephila Funds to the insurance, reinsurance and weather markets, Nephila acts as an insurance manager to certain Bermuda Class 3 and 3A reinsurance companies and Lloyd's Syndicate 2357 (Syndicate 2357) (collectively, the Nephila Reinsurers). Nephila also serves as a managing general agent that underwrites and administers property insurance policies and provides delegated underwriting services to providers of insurance capital, including Nephila Reinsurers. The results of the Nephila Reinsurers are attributed to the Nephila Funds primarily through derivative transactions between these entities. Neither the Nephila Funds nor the Nephila Reinsurers are subsidiaries of Markel Corporation, and as such, these entities are not included in our consolidated financial statements. See note 1012 of the notes to consolidated financial statements for further details regarding our Nephila operations.

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~~In 2019, we established~~Our insurance-linked securities operations also include our operations conducted through Lodgepine Capital Management Limited ~~(Lodgepine), our new retrocessional insurance-linked securities fund~~(LCM). LCM serves as the insurance manager ~~in Bermuda. Lodgepine's initial product offering will be~~for Lodgepine Re, a Bermuda Class 3 reinsurance company, and as the investment manager for Lodgepine Fund Limited, a ~~property catastrophe retrocessional~~Bermuda exempted mutual fund company comprised of multiple segregated accounts (Lodgepine Fund). Lodgepine Fund issues multiple classes of preference shares to investors and Lodgepine Fund is invested in preference shares of Lodgepine Re. Lodgepine Fund launched July 1, 2021 with initial investor capital of $98.9 million, which includes our initial investment ~~fund, and subject to certain conditions, we have committed to invest up to $100 million~~of $18.9 million. Lodgepine Fund, through its preference shares held in Lodgepine ~~Fund Limited. Lodgepine Fund Limited initially plans to subscribe~~Re, subscribes to a portfolio of retrocessional reinsurance ~~which includes~~property contracts written inthrough our Reinsurance ~~segment.~~

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segment that were ceded to Lodgepine Re.

Our insurance-linked securities operations also include our run-off Markel CATCo operations, the results of which are reported separately from our ongoing insurance-linked securities operations. Our Markel CATCo operations are conducted through Markel CATCo Investment Management Ltd. (MCIM), an ILS investment fund manager headquartered in Bermuda. In July 2019, these operations were placed into ~~run-off,~~run-off. In September and ~~MCIM is returning~~October 2021, we announced the terms of a proposed transaction that would allow the acceleration of the return of capital to ~~investors as it becomes available.~~investors. See note 1211 of the notes to consolidated financial statements for further details regarding our Markel CATCo ~~operations.~~operations and note 14 of the notes to consolidated financial statements for further details about the proposed transaction.

Program Services

Our program services business generates fee income in the form of ceding fees in exchange for fronting insurance business to other insurance carriers (capacity providers). In general, fronting refers to business in which we write insurance on behalf of a general agent or capacity provider and then cede all, or substantially all, of the risk under these policies to the capacity provider in exchange for ceding fees.

Our program services business, which is provided through our State National division and is separately managed from our underwriting operations, offers issuing carrier capacity to both specialty managing general agents and other producers who sell, control and administer books of insurance business that are supported by third parties that assume reinsurance risk, including Syndicate 2357 and other Nephila Reinsurers. Through our program services business, we write a wide variety of insurance products, principally including general liability, ~~insurance,~~ commercial liability, ~~insurance,~~ commercial multi-peril, ~~insurance,~~ property ~~insurance~~ and workers' compensation insurance. The results of our program services operations are not included in a reportable segment.

In certain instances, we ~~may~~ also leverage the strength of our underwriting platform to front business to our ILS operations to support their business plans and assist in meeting their desired return objectives. This business is conducted separately from our program services business and primarily consists of the catastrophe-exposed property reinsurance business previously written through our Reinsurance segment. Effective January 1, 2021, any such business written is ceded to our Nephila ILS operations to be placed with ~~third party~~third-party capital in exchange for ceding fees. ~~Gross and ceded written premiums for this business in the first quarter of 2021 were not significant.~~

Although we reinsure substantially all of the risks inherent in our program services business and other fronting arrangements, we have certain programs that contain limits on our reinsurers' obligations to us that expose us to underwriting risk, including loss ratio caps, aggregate reinsurance limits or exclusion of the credit risk of producers. Under certain programs with Nephila Reinsurers, we also bear underwriting risk for annual aggregate agreement year losses in excess of a limit that we believe is unlikely to be exceeded. See note 1012 of the notes to consolidated financial statements for further details regarding our programs with Nephila Reinsurers.

Investments

Our business strategy recognizes the importance of both consistent underwriting and operating profits and superior investment returns to build shareholder value. We rely on sound underwriting practices to produce investable funds. The majority of our investable assets come from premiums paid by policyholders. Policyholder funds are invested predominantly in high-quality government, municipal and corporate bonds that generally match the duration and currency of our loss reserves. The balance, comprised of shareholder funds, is available to be invested in equity securities, which over the long run, have produced higher returns relative to fixed maturity investments. When purchasing equity securities, we seek to invest in profitable companies, with honest and talented management, that exhibit reinvestment opportunities and capital discipline, at reasonable prices. We intend to hold these investments over the ~~long term.~~long-term. Substantially all of our investment portfolio is managed by company employees.

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Markel Ventures

Through our wholly-owned subsidiary, Markel Ventures, Inc. (Markel Ventures), we own interests in various businesses that operate outside of the specialty insurance marketplace. ~~These~~Management views these businesses ~~are viewed by management~~ as separate and distinct from our insurance operations. Local management teams oversee the day-to-day operations of these companies, including investment and capital allocation decisions for their respective companies. Our senior management team is responsible for decisions regarding allocation of capital for acquisitions and new investments. Our strategy in making these investments is similar to our strategy for purchasing equity securities. We seek to invest in profitable companies, with honest and talented management, that exhibit reinvestment opportunities and capital discipline, at reasonable prices. We intend to own the businesses acquired for a long period of time.

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Our chief operating decision maker allocates resources to and assesses the performance of these various businesses in the aggregate as the Markel Ventures segment. This segment includes a diverse portfolio of businesses from different industries that offer various types of products and services to businesses and consumers. Our Markel Ventures products group is comprised of businesses that manufacture or produce equipment, transportation-related products and consumer and building products. Our Markel Ventures services group is comprised of businesses that provide product distribution, consulting and other types of services to businesses and consumers.

In August 2021, we acquired 90% of the holding company for the Buckner HeavyLift Cranes companies (Buckner), a provider of crane rental services for large commercial contractors. Results attributable to Buckner will be included in our Markel Ventures segment.

In April 2020, we acquired a controlling interest in Lansing Building Products, LLC, a supplier of exterior building products and materials to professional contractors throughout the U.S., which simultaneously acquired the distribution business of Harvey Building Products to enhance its geographic reach and scale (together, Lansing), bringing our ownership in Lansing to 91%. Results attributable to Lansing are included in our Markel Ventures segment.

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Results of Operations

The following table presents the components of net income (loss) to shareholders, net income (loss) to common shareholders and comprehensive income ~~(loss)~~ to shareholders.


		Three Months Ended March 31,			Quarter Ended September 30,						Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021			2020		(dollars in thousands)	2021		2020		2021		2020
Insurance segment underwriting profit (loss)			$	116,948		$	(206,374)
Reinsurance segment underwriting loss			(23,218)			(33,959)
Investing segment profit (loss) (1)			623,438			(1,593,382)
Insurance segment profit								Insurance segment profit	$	146,725	$	74,960	$	469,010	$	3,659
Reinsurance segment loss								Reinsurance segment loss	(30,442)		(34,881)		(58,563)		(44,085)
Investing segment profit (1)								Investing segment profit (1)	65,428		629,682		1,459,878		43,104
Markel Ventures segment profit (2)	Markel Ventures segment profit (2)		51,463			41,757		Markel Ventures segment profit (2)	54,969		79,605		215,097		200,766
Other operations (3)	Other operations (3)		(23,274)			(13,372)		Other operations (3)	5,008		(56,974)		(19,106)		(74,122)
Interest expense	Interest expense		(42,389)			(45,030)		Interest expense	(46,455)		(42,744)		(135,412)		(133,201)
Net foreign exchange gains			25,084			78,301
Net foreign exchange gains (losses)								Net foreign exchange gains (losses)	48,850		(65,577)		61,677		(8,736)

Income tax (expense) benefit			(148,371)			370,683
Income tax expense								Income tax expense	(54,415)		(130,028)		(419,898)		(3,047)
Net income attributable to noncontrolling interests	Net income attributable to noncontrolling interests		(5,987)			(4,387)		Net income attributable to noncontrolling interests	(1,598)		(1,317)		(18,809)		(15,607)
Net income (loss) to shareholders	Net income (loss) to shareholders		573,694			(1,405,763)		Net income (loss) to shareholders	188,070		452,726		1,553,874		(31,269)

Preferred stock dividends								Preferred stock dividends	—		—		(18,000)		—
Net income (loss) to common shareholders	Net income (loss) to common shareholders		573,694			(1,405,763)		Net income (loss) to common shareholders	188,070		452,726		1,535,874		(31,269)
Other comprehensive income (loss) to shareholders	Other comprehensive income (loss) to shareholders		(214,697)			52,954		Other comprehensive income (loss) to shareholders	(107,834)		67,363		(264,987)		290,942
Comprehensive income (loss) to shareholders			$	358,997		$	(1,352,809)
Comprehensive income to shareholders								Comprehensive income to shareholders	$	80,236	$	520,089	$	1,288,887	$	259,673

(1) Net investment income and net investment gains (losses), if any, attributable to Markel Ventures are included in segment profit for Markel Ventures. All other net investment income and net investment gains (losses) are included in Investing segment profit.

(2) Segment profit for the Markel Ventures segment includes amortization of intangible assets attributable to Markel Ventures.

(3) Other operations include the results attributable to our operations that are not included in a reportable segment, as well as any amortization of intangible assets that is not allocated to a reportable segment. ~~For the three months ended March 31, 2021 and 2020, amortization~~Amortization of intangible assets attributable to our underwriting segments was $10.3 million and $31.1 million for the quarter and nine months ended September 30, 2021, respectively, and $10.4 million and ~~$10.5~~$31.5 million for the quarter and nine months ended September 30, 2020, respectively; however, we do not allocate amortization of intangible assets between the Insurance and Reinsurance segments.

The ~~change~~decrease in comprehensive income ~~(loss)~~ to shareholders ~~from~~for the third quarter of 2021 compared to the third quarter of 2020 was primarily due to changes in the fair value of our equity investment portfolio, which resulted in pre-tax net investment losses of $25.8 million in 2021 compared to pre-tax net investment gains of $539.3 million in 2020.

The increase in comprehensive income to shareholders for the nine months ended September 20, 2021 compared to the nine months ended September 30, 2020 was primarily due to pre-tax net investment gains of ~~$526.9 million~~$1.2 billion in 2021 compared to pre-tax net investment losses of ~~$1.7 billion~~$230.9 million in 2020. We also recognized meaningful underwriting profits in 2021 compared to underwriting losses in 2020, which included ~~$325.0~~$371.8 million of pre-tax net losses and loss adjustment expenses attributed to COVID-19. Partially offsetting these increases to comprehensive income to shareholders, other comprehensive income reflected a decrease in net unrealized gains on our fixed maturity investment portfolio in 2021 compared to an increase in 2020.

The components of net income (loss) to shareholders and comprehensive income ~~(loss)~~ to shareholders are discussed in further detail under "Underwriting Results," "Investing Results," "Markel Ventures," "Other Operations," "Interest Expense and Income Taxes" and "Comprehensive Income ~~(Loss)~~ to Shareholders and Book Value per Common Share."

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Underwriting Results

Underwriting profits are a key component of our strategy to build shareholder value. We believe that the ability to achieve consistent underwriting profits demonstrates knowledge and expertise, commitment to superior customer service and the ability to manage insurance risk. The property and casualty insurance industry commonly defines underwriting profit or loss as earned premiums net of losses and loss adjustment expenses and underwriting, acquisition and insurance expenses. We use underwriting profit or loss and the combined ratio as a basis for evaluating our underwriting performance. The U.S. GAAP combined ratio is a measure of underwriting performance and represents the relationship of incurred losses, loss adjustment expenses and underwriting, acquisition and insurance expenses to earned premiums. The combined ratio is the sum of the loss ratio and the expense ratio. The loss ratio represents the relationship of incurred losses and loss adjustment expenses to earned premiums. The expense ratio represents the relationship of underwriting, acquisition and insurance expenses to earned premiums. A combined ratio less than 100% indicates an underwriting profit, while a combined ratio greater than 100% reflects an underwriting loss.

In addition to the U.S. GAAP combined ratio, loss ratio and expense ratio, we also evaluate our underwriting performance using measures that exclude the impacts of certain items on these ratios. We believe these adjusted measures, which are non-GAAP measures, provide financial statement users with a better understanding of the significant factors that comprise our underwriting results and how management evaluates underwriting performance.

When analyzing our combined ratio, we exclude current accident year losses and loss adjustment expenses attributed to natural catastrophes. We also exclude losses and loss adjustment expenses attributed to certain significant, infrequent loss events, for example, the COVID-19 pandemic. Due to the unique characteristics of a catastrophe loss, there is inherent variability as to the timing or loss amount, which cannot be predicted in advance. The same is true for the COVID-19 pandemic, as there are no events in recent history with characteristics similar to COVID-19. We believe measures that exclude the effects of catastrophe events, and COVID-19, are meaningful to understand the underlying trends and variability in our underwriting results that may be obscured by these items.

When analyzing our loss ratio, we evaluate losses and loss adjustment expenses attributable to the current accident year separate from losses and loss adjustment expenses attributable to prior accident years. Prior accident year reserve development, which can either be favorable or unfavorable, represents changes in our estimates of losses and loss adjustment expenses related to loss events that occurred in prior years. We believe a discussion of current accident year loss ratios, which exclude prior accident year reserve development, is helpful since it provides more insight into estimates of current underwriting performance and excludes changes in estimates related to prior year loss reserves. We also analyze our current accident year loss ratio excluding losses and loss adjustment expenses attributable to catastrophes, and in 2020, the COVID-19 pandemic, for the reasons previously discussed. The current accident year loss ratio excluding the impact of catastrophes and significant, infrequent loss events is also commonly referred to as an attritional loss ratio within the property and casualty insurance industry.

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Consolidated


		Three Months Ended March 31,				Quarter Ended September 30,										Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021				2020			% Change		(dollars in thousands)	2021			2020			% Change		2021			2020			% Change
Gross premium volume (1)	Gross premium volume (1)		$	2,170,383			$	1,925,867		13	%	Gross premium volume (1)	$	2,078,005		$	1,734,457		20	%	$	6,348,877		$	5,436,491		17	%
Net written premiums	Net written premiums		$	1,881,070			$	1,646,478		14	%	Net written premiums	$	1,684,810		$	1,397,276		21	%	$	5,317,331		$	4,500,149		18	%
Earned premiums	Earned premiums		$	1,497,695			$	1,330,709		13	%	Earned premiums	$	1,630,500		$	1,394,428		17	%	$	4,696,232		$	4,085,311		15	%
Underwriting profit (loss)	Underwriting profit (loss)		$	91,034			$	(240,802)		138	%	Underwriting profit (loss)	$	112,503		$	38,357		193	%	$	408,255		$	(44,849)		NM (3)

Underwriting Ratios	Underwriting Ratios									Point Change		Underwriting Ratios							Point Change								Point Change
Loss ratio	Loss ratio											Loss ratio
Current accident year loss ratio	Current accident year loss ratio		64.8		%		88.7		%	(23.9)		Current accident year loss ratio	66.8		%	73.9		%	(7.1)		64.1		%	75.6		%	(11.5)
Prior accident years loss ratio	Prior accident years loss ratio		(6.1)		%		(7.8)		%	1.7		Prior accident years loss ratio	(8.6)		%	(12.0)		%	3.4		(7.8)		%	(10.7)		%	2.9
Loss ratio	Loss ratio		58.7		%		80.9		%	(22.2)		Loss ratio	58.2		%	61.9		%	(3.7)		56.3		%	64.9		%	(8.6)
Expense ratio	Expense ratio		35.2		%		37.2		%	(2.0)		Expense ratio	34.9		%	35.3		%	(0.4)		35.0		%	36.2		%	(1.2)
Combined ratio	Combined ratio		93.9		%		118.1		%	(24.2)		Combined ratio	93.1		%	97.2		%	(4.1)		91.3		%	101.1		%	(9.8)

Current accident year loss ratio catastrophe impact (2)	Current accident year loss ratio catastrophe impact (2)		4.3		%		—		%	4.3		Current accident year loss ratio catastrophe impact (2)	7.0		%	7.3		%	(0.3)		3.9		%	2.5		%	1.4
Current accident year loss ratio COVID-19 impact (2)	Current accident year loss ratio COVID-19 impact (2)		—		%		24.4		%	(24.4)		Current accident year loss ratio COVID-19 impact (2)	—		%	3.4		%	(3.4)		—		%	9.1		%	(9.1)
Prior accident years loss ratio COVID-19 impact (2)	Prior accident years loss ratio COVID-19 impact (2)		1.2		%		—		%	1.2		Prior accident years loss ratio COVID-19 impact (2)	(0.1)		%	—		%	(0.1)		0.3		%	—		%	0.3

Current accident year loss ratio, excluding COVID-19 and catastrophes	Current accident year loss ratio, excluding COVID-19 and catastrophes		60.5		%		64.3		%	(3.8)		Current accident year loss ratio, excluding COVID-19 and catastrophes	59.8		%	63.2		%	(3.4)		60.2		%	64.0		%	(3.8)
Combined ratio, excluding COVID-19 and current year catastrophes	Combined ratio, excluding COVID-19 and current year catastrophes		88.4		%		93.7		%	(5.3)		Combined ratio, excluding COVID-19 and current year catastrophes	86.2		%	86.5		%	(0.3)		87.1		%	89.5		%	(2.4)

(1) Gross premium volume excludes ~~$634.5~~$890.6 million and ~~$397.0 million~~$2.3 billion for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, respectively, and $538.3 million and $1.5 billion for the quarter and nine months ended 2020, respectively, of written premiums attributable to our program services business and other fronting arrangements that were ceded.

(2) The point impact of catastrophes and COVID-19 is calculated as the associated net losses and loss adjustment expenses divided by total earned premiums.

(3) NM - Ratio is not meaningful

Premiums

The increase in gross premium volume in our underwriting operations for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021 was driven by ~~new business~~significant growth within our professional liability and general liability product lines in our Insurance segment. The nine months ended September 30, 2021 also reflected significant growth in these product lines within our Reinsurance segment.

We continue to see more favorable rates across most of our product lines, particularly within our general liability and professional liability product lines, ~~across both of our underwriting segments.~~

~~Following~~based on general market conditions. Additionally, following the high level of catastrophes that have occurred in recent years, ~~and based on general market conditions,~~ we ~~continue to see~~are also seeing more favorable rates ~~particularly~~ on catastrophe-exposed ~~and loss-affected~~ lines of business. ~~We also continue to see improved pricing on most of our other product lines, most notably within our general liability and professional liability product lines.~~ The primary exception to the favorable rate environment is workers' compensation, where we continue to see low single digit rate decreases given generally favorable loss experience in recent years. When we believe the prevailing market price will not support our underwriting profit targets, the business is not written. As a result of our underwriting discipline, gross premium volume may vary when we alter our product offerings to maintain or improve underwriting profitability.

Net retention of gross premium volume in our underwriting operations was 81% for the quarters ended September 30, 2021 and 2020. Net retention of gross premium volume in our underwriting operations for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 was ~~87%~~84% compared to ~~85%~~83% for the same period of 2020. ~~The increase in net retention was driven by changes in mix of business within our Reinsurance segment.~~ Within our underwriting operations, we purchase reinsurance and retrocessional reinsurance to manage our net retention on individual risks and overall exposure to losses and to enable us to write policies with sufficient limits to meet policyholder needs.

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The increase in earned premiums in our underwriting operations for both the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021 was primarily attributable to ~~the higher~~growth in gross premium volume within our general liability and professional liability ~~and general liability~~ product ~~lines.~~lines across both our underwriting segments in recent periods.

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Combined Ratio

Underwriting results for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 included ~~$64.3~~$114.4 million of net losses and loss adjustment expenses attributed to natural catastrophes, including Hurricane Ida and the floods in Europe. Underwriting results for the quarter ended September 30, 2020 included $46.8 million of net losses and loss adjustment expenses attributed to COVID-19 and $101.8 million of net losses and loss adjustment expenses from natural catastrophes, including Hurricanes Laura, Sally and Isaias, as well as the derecho in Iowa and wildfires in the western U.S. (2020 Catastrophes). Excluding losses attributed to catastrophes and COVID-19, the decrease in our consolidated combined ratio for the quarter ended September 30, 2021 compared to the same period of 2020 was driven by a lower current accident year loss ratio across both of our underwriting segments, partially offset by the impact of less favorable development on prior accident years loss reserves in 2021 compared to 2020. Higher earned premiums in 2021 compared to 2020 had a favorable impact on our expense ratio and an unfavorable impact on the prior accident years loss ratio.

Underwriting results for the nine months ended September 30, 2021 included $182.3 million of net losses and loss adjustment expenses attributed to Hurricane Ida, the floods in Europe and Winter Storm Uri (2021 Catastrophes) as well as ~~$18.6~~$15.2 million of net losses and loss adjustment expenses resulting from an increase in our net estimate of ultimate losses and loss adjustment expenses ~~directly~~ attributed to COVID-19. Underwriting results for the ~~three~~nine months ended ~~March 31,~~September 30, 2020 included ~~$325.0~~$371.8 million and $101.8 million of net losses and loss adjustment expenses attributed to ~~COVID-19.~~COVID-19 and the 2020 Catastrophes, respectively. Excluding ~~these~~ losses attributed to ~~Winter Storm Uri~~catastrophes and COVID-19, the decrease in our consolidated combined ratio for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 compared to the same period of 2020 was driven by a lower current accident year loss ratio and lower expense ratio across both of our underwriting segments, partially offset by the impact of less favorable development on prior accident years loss reserves in 2021 compared to 2020. Higher earned premiums in 2021 compared to 2020 ~~across both of~~had a favorable impact on our ~~underwriting segments.~~expense ratio and an unfavorable impact on the prior accident years loss ratio.

The net losses and loss adjustment expenses ~~from Winter Storm Uri~~attributed to the 2021 Catastrophes as of ~~March 31,~~September 30, 2021 represent our best estimates based upon information currently available. Our estimates for these losses are based on claims received to date, detailed policy and reinsurance contract level reviews, preliminary industry loss estimates and output from both industry and proprietary models, as well as analysis of our ceded reinsurance contracts. Due to ~~the~~ limited claims activity, ~~thus far,~~ these estimates are based on various assumptions about coverage, liability and reinsurance and are therefore subject to change. While we believe our reserves for ~~Winter Storm Uri~~the 2021 Catastrophes as of ~~March 31,~~September 30, 2021 are adequate, we continue to closely monitor reported claims and will adjust our estimates of gross and net losses as new information becomes available.

Additionally, our estimate of ultimate net losses and loss adjustment expenses directly attributed to COVID-19, as described in our 2020 Annual Report on Form 10-K in "Underwriting Results" under Item 7 Management's Discussion and Analysis of Financial Condition and Results of Operations, is based on assumptions about coverage, liability and reinsurance, for which significant uncertainty still exists, and represents our best estimate as of ~~March 31,~~September 30, 2021 based upon information currently available. We continue to closely monitor reported claims, ceded reinsurance contract attachment, government actions, judicial decisions and changes in the levels of worldwide social disruption and economic activity arising from the pandemic and will adjust our estimates of gross and net losses as new information becomes available. Such adjustments to our reserves for COVID-19 losses and loss adjustment expenses may be material to the Company's results of operations, financial condition and cash flows.

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Insurance Segment


		Three Months Ended March 31,				Quarter Ended September 30,										Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021				2020			% Change		(dollars in thousands)	2021			2020			% Change		2021			2020			% Change
Gross premium volume	Gross premium volume		$	1,638,327			$	1,414,711		16	%	Gross premium volume	$	1,899,592		$	1,514,002		25	%	$	5,359,293		$	4,482,149		20	%
Net written premiums	Net written premiums		$	1,387,430			$	1,195,737		16	%	Net written premiums	$	1,545,428		$	1,220,054		27	%	$	4,427,301		$	3,683,767		20	%
Earned premiums	Earned premiums		$	1,244,027			$	1,106,851		12	%	Earned premiums	$	1,381,235		$	1,173,758		18	%	$	3,928,824		$	3,400,760		16	%
Underwriting profit (loss)			$	116,948			$	(206,374)		157	%
Underwriting profit												Underwriting profit	$	146,725		$	74,960		96	%	$	469,010		$	3,659		NM (2)

Underwriting Ratios	Underwriting Ratios									Point Change		Underwriting Ratios							Point Change								Point Change
Loss ratio	Loss ratio											Loss ratio
Current accident year loss ratio	Current accident year loss ratio		64.2		%		90.9		%	(26.7)		Current accident year loss ratio	62.8		%	69.6		%	(6.8)		62.3		%	75.1		%	(12.8)
Prior accident years loss ratio	Prior accident years loss ratio		(9.6)		%		(10.5)		%	0.9		Prior accident years loss ratio	(9.0)		%	(11.7)		%	2.7		(10.1)		%	(11.9)		%	1.8
Loss ratio	Loss ratio		54.6		%		80.4		%	(25.8)		Loss ratio	53.8		%	57.9		%	(4.1)		52.2		%	63.2		%	(11.0)
Expense ratio	Expense ratio		36.0		%		38.2		%	(2.2)		Expense ratio	35.6		%	35.7		%	(0.1)		35.9		%	36.7		%	(0.8)
Combined ratio	Combined ratio		90.6		%		118.6		%	(28.0)		Combined ratio	89.4		%	93.6		%	(4.2)		88.1		%	99.9		%	(11.8)

Current accident year loss ratio catastrophe impact (1)	Current accident year loss ratio catastrophe impact (1)		3.2		%		—		%	3.2		Current accident year loss ratio catastrophe impact (1)	3.3		%	5.7		%	(2.4)		2.3		%	2.0		%	0.3
Current accident year loss ratio COVID-19 impact (1)	Current accident year loss ratio COVID-19 impact (1)		—		%		26.5		%	(26.5)		Current accident year loss ratio COVID-19 impact (1)	—		%	1.1		%	(1.1)		—		%	9.0		%	(9.0)

Prior accident years loss ratio COVID-19 impact (1)												Prior accident years loss ratio COVID-19 impact (1)	—		%	—		%	—		(0.1)		%	—		%	(0.1)

Current accident year loss ratio, excluding COVID-19 and catastrophes	Current accident year loss ratio, excluding COVID-19 and catastrophes		61.0		%		64.4		%	(3.4)		Current accident year loss ratio, excluding COVID-19 and catastrophes	59.5		%	62.8		%	(3.3)		60.0		%	64.1		%	(4.1)
Combined ratio, excluding COVID-19 and current year catastrophes	Combined ratio, excluding COVID-19 and current year catastrophes		87.4		%		92.1		%	(4.7)		Combined ratio, excluding COVID-19 and current year catastrophes	86.1		%	86.8		%	(0.7)		85.9		%	88.9		%	(3.0)

(1) The point impact of catastrophes and COVID-19 is calculated as the associated net losses and loss adjustment expenses divided by total earned premiums.

(2) NM - Ratio is not meaningful

~~Table o~~f ~~Contents~~

Premiums

The increase in gross premium volume in our Insurance segment for both the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021 was driven by ~~new business and more favorable rates~~growth across several product lines, most notably within our professional liability and general liability ~~marine~~product lines, which experienced higher new business volume and ~~energy and personal lines product lines.~~benefited from more favorable rates. Net retention of gross premium volume was ~~85%~~81% for the ~~three~~quarters ended September 30, 2021 and 2020. Net retention of gross premium volume was 83% for the nine months ended ~~March 31,~~September 30, 2021 and 82% for the nine months ended September 30, 2020. The increase in earned premiums for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021 was primarily ~~attributable~~due to the higher gross premium volume.

Combined ~~Ratio~~Ratio: Quarter-to-Date

The Insurance segment's current accident year losses and loss adjustment expenses for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 included ~~$39.3 million of net losses and loss adjustment expenses from Winter Storm Uri. Current accident year losses for the three months ended March 31, 2020 included $293.0~~$46.0 million of net losses and loss adjustment expenses attributed to ~~COVID-19.~~the 2021 Catastrophes. Current accident year losses for the quarter ended September 30, 2020 included $12.4 million and $66.6 million of net losses and loss adjustment expenses attributed to COVID-19 and the 2020 Catastrophes, respectively. Excluding ~~these~~ losses attributed to ~~Winter Storm Uri~~catastrophes and COVID-19, the decrease in the current accident year loss ratio for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 compared to the same period of 2020 was primarily attributable to lower attritional loss ratios ~~across several~~within our professional liability, general liability and property product lines, primarily due to the benefit of achieving higher premium ~~rates, most notably on our professional liability product lines.~~rates.

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The Insurance segment's combined ratio for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 included ~~$119.1~~$124.1 million of favorable development on prior accident years loss reserves compared to ~~$116.1~~$137.3 million for the same period of 2020. The increase reflects favorable development on our property product lines in 2021 compared to adverse development in 2020 and more favorable development on our general liability product lines in 2021 compared to 2020, which were offset by less favorable development on our professional liability product lines in 2021 compared to 2020. Higher earned premiums in 2021 compared to 2020 had an unfavorable impact on the prior accident years loss ~~ratio, which more than~~ratio. The decrease in favorable development was primarily due to less favorable development across several product lines in 2021 compared to 2020 as well as adverse development on our programs product line in 2021. These unfavorable changes were partially offset ~~the favorable impact of~~by more favorable development on our property product lines in 2021 compared to 2020. For the ~~three months~~quarter ended ~~March 31,~~September 30, 2021, favorable development was most significant on our ~~marine~~property and ~~energy and property~~workers' compensation product lines, primarily on the 2018 to 2020 accident years, and general liability and ~~workers' compensation~~professional liability product lines across several accident years. The favorable development on prior ~~years'~~years loss reserves in the third quarter of 2020 was most significant on our general liability, professional liability and workers' compensation product lines.

The Insurance segment's expense ratio for the quarter ended September 30, 2021 was consistent with the expense ratio for the same period of 2020. The favorable impact of higher earned premiums was offset by higher general expenses, primarily due to higher profit sharing expenses in 2021 compared to 2020 as a result of improved profitability.

Combined Ratio: Year-to-Date

The Insurance segment's current accident year losses and loss adjustment expenses for the nine months ended September 30, 2021 included $88.9 million of net losses and loss adjustment expenses attributed to the 2021 Catastrophes. Current accident year losses for the nine months ended September 30, 2020 included $305.4 million and $66.6 million of net losses and loss adjustment expenses attributed to COVID-19 and the 2020 Catastrophes, respectively. Excluding losses attributed to catastrophes and COVID-19, the decrease in the current accident year loss ratio for the nine months ended September 30, 2021 compared to the same period of 2020 was primarily attributable to lower attritional loss ratios within our professional liability, general liability and property product lines, primarily due to the benefit of achieving higher premium rates.

The Insurance segment's combined ratio for the nine months ended September 30, 2021 included $397.7 million of favorable development on prior accident years loss reserves compared to $404.6 million for the same period of 2020. Higher earned premiums in 2021 compared to 2020 had an unfavorable impact on the prior accident years loss ratio. The decrease in favorable development was primarily due to less favorable development on our professional liability, personal lines and workers' compensation product lines in 2021 compared to 2020, mostly offset by more favorable development on our property and marine and energy product lines in 2021 compared to 2020. For the nine months ended September 30, 2021, favorable development was most significant on our general liability, workers' compensation and professional liability product lines across several accident years and property and marine and energy product lines, primarily on the 2018 to 2020 accident years. The favorable development on prior years loss reserves in 2020 was most significant on our general liability, professional liability and workers' compensation ~~and marine and energy~~ product lines.

The decrease in the Insurance segment's expense ratio for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 compared to the same period of 2020 was primarily due to the favorable impact of higher earned premiums, partially offset by higher profit sharing expenses in 2021 ~~while maintaining consistent levels~~compared to 2020 as a result of ~~general expenses with the same period of 2020.~~improved profitability.

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Reinsurance Segment


		Three Months Ended March 31,				Quarter Ended September 30,										Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021				2020			% Change		(dollars in thousands)	2021			2020			% Change		2021			2020			% Change
Gross premium volume	Gross premium volume		$	532,518			$	513,186		4	%	Gross premium volume	$	180,673		$	222,066		(19)	%	$	992,635		$	958,529		4	%
Net written premiums	Net written premiums		$	494,085			$	452,749		9	%	Net written premiums	$	141,642		$	178,994		(21)	%	$	893,082		$	820,573		9	%
Earned premiums	Earned premiums		$	254,087			$	225,960		12	%	Earned premiums	$	250,962		$	222,369		13	%	$	770,031		$	688,884		12	%
Underwriting profit (loss)	Underwriting profit (loss)		$	(23,218)			$	(33,959)		32	%	Underwriting profit (loss)	$	(30,442)		$	(34,881)		13	%	$	(58,672)		$	(44,085)		(33)	%

Underwriting Ratios	Underwriting Ratios									Point Change		Underwriting Ratios							Point Change								Point Change
Loss ratio	Loss ratio											Loss ratio
Current accident year loss ratio	Current accident year loss ratio		67.8		%		76.8		%	(9.0)		Current accident year loss ratio	88.4		%	95.9		%	(7.5)		72.9		%	77.5		%	(4.6)
Prior accident years loss ratio	Prior accident years loss ratio		11.3		%		6.2		%	5.1		Prior accident years loss ratio	(6.5)		%	(13.8)		%	7.3		4.4		%	(4.2)		%	8.6
Loss ratio	Loss ratio		79.1		%		83.0		%	(3.9)		Loss ratio	81.9		%	82.1		%	(0.2)		77.3		%	73.3		%	4.0
Expense ratio	Expense ratio		30.0		%		32.0		%	(2.0)		Expense ratio	30.2		%	33.6		%	(3.4)		30.3		%	33.1		%	(2.8)
Combined ratio	Combined ratio		109.1		%		115.0		%	(5.9)		Combined ratio	112.1		%	115.7		%	(3.6)		107.6		%	106.4		%	1.2

Current accident year loss ratio catastrophe impact (1)			9.8		%		—		%	9.8
Current accident year loss ratio catastrophe impact (1) (2)												Current accident year loss ratio catastrophe impact (1) (2)	27.2		%	15.8		%	11.4		12.1		%	5.1		%	7.0
Current accident year loss ratio COVID-19 impact (1)	Current accident year loss ratio COVID-19 impact (1)		—		%		14.2		%	(14.2)		Current accident year loss ratio COVID-19 impact (1)	—		%	15.5		%	(15.5)		—		%	9.6		%	(9.6)
Prior accident years loss ratio COVID-19 impact (1)	Prior accident years loss ratio COVID-19 impact (1)		7.3		%		—		%	7.3		Prior accident years loss ratio COVID-19 impact (1)	(0.6)		%	—		%	(0.6)		2.5		%	—		%	2.5

Current accident year loss ratio, excluding COVID-19 and catastrophes	Current accident year loss ratio, excluding COVID-19 and catastrophes		58.0		%		62.6		%	(4.6)		Current accident year loss ratio, excluding COVID-19 and catastrophes	61.2		%	64.6		%	(3.4)		60.8		%	62.8		%	(2.0)
Combined ratio, excluding COVID-19 and current year catastrophes	Combined ratio, excluding COVID-19 and current year catastrophes		92.0		%		100.8		%	(8.8)		Combined ratio, excluding COVID-19 and current year catastrophes	85.5		%	84.4		%	1.1		93.0		%	91.7		%	1.3

(1) The point impact of catastrophes and COVID-19 is calculated as the associated net losses and loss adjustment expenses divided by total earned premiums.

(2) The point impact of catastrophes does not include the favorable impact of assumed reinstatement premiums associated with the 2021 Catastrophes of $16.7 million and $20.9 million for the quarter and nine months ended September 30, 2021, respectively. Reinstatement premiums were not significant for the quarter and nine months ended September 30, 2020.

Premiums

The ~~increase~~decrease in gross premium volume in our Reinsurance segment for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 was ~~primarily attributable to new business~~driven by lower gross premiums across several product lines, most notably within our general liability, credit and ~~professional liability~~surety and property product lines, partially offset by ~~lower~~growth and more favorable rates within our professional liability product lines. Lower gross premiums within our ~~property~~general liability product ~~lines.~~lines were primarily due to the unfavorable impact of timing on the renewal of a large contract. Lower gross premiums within our credit and surety product lines were primarily attributable to non-renewals following our decision to exit the Latin America market in the third quarter of 2020. Significant variability in gross premium volume can be expected in our Reinsurance segment due to individually significant contracts and multi-year contracts.

The increase in gross premium volume in our Reinsurance segment for the nine months ended September 30, 2021 was primarily attributable to new business and increases on renewals within our general liability and professional liability product lines. The increases on renewals were primarily due to increased exposures arising from growth in underlying portfolios and more favorable rates. These increases were partially offset by lower gross premiums within our property product lines.

Lower gross premiums within our property product lines for both the quarter and nine months ended September 30, 2021 were primarily attributable to non-renewals following our decision to discontinue writing ~~catastrophe-exposed~~ property reinsurance business on a risk-bearing basis effective January 1, 2021. We continue to have ~~catastrophe-exposure~~property loss exposure, including catastrophe exposure, on property treaties written in prior years with contract terms that extend beyond January 1, 2021 and on our retrocessional reinsurance property business.

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Net retention of gross premium volume for the ~~three~~quarter ended September 30, 2021 was 78% compared to 81% for the same period of 2020. The decrease in net retention for the quarter ended September 30, 2021 was driven by the impact of ceding a portion of the premiums written on our retrocessional reinsurance property business in the third quarter of 2021. This business was fully retained in 2020. Net retention of gross premium volume for the nine months ended ~~March 31,~~September 30, 2021 was ~~93%~~90% compared to ~~88%~~86% for the same period of 2020. The increase in net retention for the nine months ended September 30, 2021 was driven by changes in mix of business resulting from the changes in gross premium volume. The new business in our general liability and professional liability product lines was fully retained while the non-renewed property business had a lower retention rate than the rest of the segment.

The increase in earned premiums for both the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021 was primarily attributable to growth in gross premium volume within our ~~professional~~general liability and ~~general~~professional liability product lines ~~reflecting growth in premium volume~~ in recent ~~periods.~~periods, partially offset by the impact of lower gross premiums within our property product lines as a result of our decision to discontinue writing property reinsurance business, as previously discussed.

~~Table o~~f ~~Contents~~

Combined ~~Ratio~~Ratio: Quarter-to-Date

The Reinsurance segment's current accident year losses and loss adjustment expenses for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 included ~~$25.0~~$68.4 million of net losses and loss adjustment expenses from ~~Winter Storm Uri.~~the 2021 Catastrophes. Partially offsetting the impact of losses attributed to the 2021 Catastrophes was $16.7 million of favorable assumed reinstatement premiums in 2021 attributed to these events. Current accident year losses for the ~~three months~~quarter ended ~~March 31,~~September 30, 2020 included ~~$32.0~~$34.5 million and $35.2 million of net losses and loss adjustment expenses from COVID-19 and the 2020 Catastrophes, respectively. Catastrophe losses and reinstatement premiums in 2021 were primarily attributable to our retrocessional reinsurance property business, a portion of which was ceded to Lodgepine Re effective July 1, 2021 and our property reinsurance product lines, which we discontinued writing on a risk-bearing basis effective January 1, 2021. Catastrophe losses in 2020, and a portion of our 2020 COVID-19 losses, were also attributed to ~~COVID-19. Excluding these~~our property reinsurance product lines, however, there were no catastrophe or COVID-19 losses attributed to ~~Winter Storm Uri~~our retrocessional reinsurance business in 2020. We continue to have catastrophe exposure on our reinsurance property treaties written in prior years with multi-year terms. Excluding the impact of catastrophes and COVID-19, the decrease in the current accident year loss ratio was driven by our professional liability and general liability products lines. These product lines benefited from higher premium rates and an increase in the proportion of quota share contracts, which generally have lower loss ratios than excess of loss contracts.

The Reinsurance segment's combined ratio for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 included $16.3 million of favorable development on prior accident years loss reserves, which was primarily attributable to our general liability product lines. Our property product lines also had modest favorable development in 2021 reflecting favorable development on catastrophes that occurred in recent years, mostly offset by adverse development on our other property exposures. For the quarter ended September 30, 2020, the combined ratio included $30.7 million of favorable development on prior accidents years loss reserves, which was primarily attributable to our property and professional liability product lines.

The decrease in the Reinsurance segment's expense ratio for the quarter ended September 30, 2021 compared to the same period of 2020 was primarily attributable to lower compensation and general expenses due to the discontinuation of our property ~~product lines, which reflected lower attritional losses and benefited from lower ceded~~ reinsurance ~~costs~~business as well as the favorable impact of higher earned premiums in 2021 compared to 2020. ~~As we are~~

Combined Ratio: Year-to-Date

The Reinsurance segment's current accident year losses and loss adjustment expenses for the nine months ended September 30, 2021 included $93.4 million of net losses and loss adjustment expenses attributed to the 2021 Catastrophes. Partially offsetting the impact of losses attributed to the 2021 Catastrophes was $20.9 million of favorable assumed reinstatement premiums in 2021 attributed to these events. Current accident year losses for the nine months ended September 30, 2020 included $66.5 million and $35.2 million of net losses and loss adjustment expenses attributed to COVID-19 and the 2020 Catastrophes, respectively. Catastrophe losses and reinstatement premiums in 2021 were primarily attributable to our retrocessional reinsurance property business and our property reinsurance product lines. Catastrophe losses in 2020, and a portion of our 2020 COVID-19 losses, were also attributed to our property reinsurance product lines, however, there were no ~~longer writing catastrophe-exposed property~~catastrophe or COVID-19 losses attributed to our retrocessional reinsurance business in 2020. Excluding the impact of catastrophes and COVID-19, the decrease in the current accident year loss ratio was driven by our ~~Reinsurance segment effective January 1, 2021, earned premiums~~professional liability and ~~exposures on this business will ultimately trend significantly~~general liability products lines. These product lines benefited from higher premium rates and an increase in the proportion of quota share contract structures, which generally have lower ~~in 2021~~loss ratios than ~~2020 and we modified our ceded reinsurance structures accordingly.~~excess of loss contracts.

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The Reinsurance segment's combined ratio for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 included ~~$28.7~~$34.1 million of adverse development on prior accident years loss reserves, of which ~~$18.6 million, or seven points on the segment combined ratio,~~ was ~~directly attributed~~primarily attributable to ~~COVID-19. Substantially all of the adverse development related to COVID-19 was within~~ our property product lines, ~~following~~as well as additional exposures recognized related to net favorable premium adjustments on our professional liability product lines. Adverse development on our property product lines was primarily attributable to an increase in reserves attributed to COVID-19 during the first quarter, reflecting changes in our net estimates resulting from updated and new loss information from cedents. For the ~~three~~nine months ended ~~March 31,~~September 30, 2020, the combined ratio included ~~$13.9~~$29.0 million of ~~adverse~~favorable development ~~primarily due to adverse~~on prior accident years loss reserves, which reflects favorable development on our ~~public entity and professional liability~~property product lines, partially offset by adverse development and additional exposures recognized on net favorable ~~development~~premium adjustments on our ~~property~~professional liability product lines.

The decrease in the Reinsurance segment's expense ratio for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 compared to the same period of 2020 was primarily attributable to lower compensation and general expenses due to the discontinuation of our property reinsurance business as well as the favorable impact of higher earned premiums in 2021 ~~while maintaining consistent levels of general expenses with the same period of~~compared to 2020.

Investing Results

Our business strategy recognizes the importance of both consistent underwriting and operating profits and superior investment returns to build shareholder value. We rely on sound underwriting practices to produce investable funds. We measure investing results by our net investment income, net investment gains and the change in net unrealized investment gains on available-for-sale investments, as well as investment yield and ~~our~~ taxable equivalent total investment return.

The following table summarizes our investment performance.


		Three Months Ended March 31,				Quarter Ended September 30,											Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021				2020			Change			(dollars in thousands)	2021			2020			Change			2021			2020			Change
Net investment income	Net investment income		$	96,570			$	88,243		9		%	Net investment income	$	91,264		$	90,384		1		%	$	284,095		$	274,242		4		%
Net investment gains (losses)	Net investment gains (losses)		$	526,871			$	(1,681,441)		$	2,208,312		Net investment gains (losses)	$	(25,833)		$	539,302		$	(565,135)		$	1,175,791		$	(230,896)		$	1,406,687
Change in net unrealized investment gains on available-for-sale securities (1)	Change in net unrealized investment gains on available-for-sale securities (1)		$	(271,215)			$	78,989		$	(350,204)		Change in net unrealized investment gains on available-for-sale securities (1)	$	(131,671)		$	77,523		$	(209,194)		$	(337,914)		$	373,421		$	(711,335)

Investment Ratios	Investment Ratios												Investment Ratios
Investment yield (2)	Investment yield (2)		0.5		%		0.6		%	(0.1)			Investment yield (2)	0.5		%	0.6		%	(0.1)			1.5		%	1.8		%	(0.3)
Taxable equivalent total investment return	Taxable equivalent total investment return		1.4		%		(7.0)		%	8.4			Taxable equivalent total investment return										5.1		%	3.8		%	1.3

(1) The change in net unrealized gains on available-for-sale securities ~~for the three months ended March 31, 2021 and 2020 was net of~~included an increase related to an adjustment ~~related~~ to our life and annuity benefit reserves of ~~$49.3~~$6.4 million and ~~$12.9~~$56.7 million for the quarter and nine months ended September 30, 2021, respectively, and a decrease related to an adjustment to our life and annuity benefit reserves of $20.6 million and $56.2 million for the quarter and nine months ended September 30, 2020, respectively. See note 89 of the notes to consolidated financial statements for details of our life and annuity benefit reserve adjustments.

(2) Investment yield reflects net investment income as a percentage of monthly average invested assets at amortized cost.

The increase in net investment income for the ~~three~~quarter ended September 30, 2021 compared to the same period of 2020 was driven primarily by higher dividend income, partially offset by lower income on our equity method investments in 2021 compared to 2020. The increase in net investment income for the nine months ended ~~March 31,~~September 30, 2021 compared to the same period of 2020 was driven primarily by income on our equity method investments in 2021 compared to losses ~~on our equity method investments~~ in 2020. This increase was partially offset by lower interest income on our short-term ~~investment income~~investments due to lower short-term interest rates during the ~~first quarter of~~nine months ended September 30, 2021 compared to the ~~first quarter~~same period of 2020. See note ~~3(d)~~4(d) of the notes to consolidated financial statements for details regarding the components of net investment income.

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Net investment losses for the quarter ended September 30, 2021 were primarily attributable to a decline in the fair value of our equity portfolio due to unfavorable market value movements. This followed significant increases in the fair value of our equity portfolio during the first half of 2021 driven by favorable market value movements, which resulted in net investment gains for the nine months ended September 30, 2021. Net investment gains for the ~~three months~~quarter ended ~~March 31, 2021~~September 30, 2020 were primarily attributable to an increase in the fair value of our equity portfolio driven by favorable market value movements. ~~Net investment losses for the three months ended March 31, 2020 were primarily attributable to a decrease~~This followed significant declines in the fair value of our equity portfolio in the first quarter of 2020 driven by unfavorable market value movements resulting from the onset of the COVID-19 ~~pandemic.~~pandemic, which resulted in net investment losses for the nine months ended September 30, 2020. See note ~~3(e)~~4(e) of the notes to consolidated financial statements for further details on the components of net investment gains (losses).

The decrease in net unrealized gains on available-for-sale investments for both the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021 was primarily attributable to ~~a decrease~~decreases in the fair value of our fixed maturity investment portfolio as a result of increases in interest rates during 2021. The increase in net unrealized gains on available-for-sale investments for both the ~~first~~ quarter and nine months ended September 30, 2020 was primarily attributable to increases in the fair value of ~~2021.~~our fixed maturity investment portfolio as a result of decreases in interest rates during 2020.

We also evaluate our investment performance by analyzing taxable equivalent total investment return, which is a non-GAAP financial measure. Taxable equivalent total investment return includes items that impact net income, such as coupon interest on fixed maturity securities, changes in fair value of equity securities, dividends on equity securities and realized investment gains or losses on available-for-sale securities, as well as changes in unrealized gains or losses on available-for-sale securities, which do not impact net income. Certain items that are included in net investment income have been excluded from the calculation of taxable equivalent total investment return, such as amortization and accretion of premiums and discounts on our fixed maturity portfolio, to provide a comparable basis for measuring our investment return against industry investment returns. The calculation of taxable equivalent total investment return also includes the current tax benefit associated with income on certain investments that is either taxed at a lower rate than the statutory income tax rate or is not fully included in U.S. taxable income. We believe the taxable equivalent total investment return is a better reflection of the economics of our decision to invest in certain asset classes. We focus on our long-term investment return, understanding that the level of investment gains or losses may vary from one period to the next.

The following table reconciles investment yield to taxable equivalent total investment return.


		Three Months Ended March 31,					Nine Months Ended September 30,
		2021		2020			2021		2020
Investment yield (1)	Investment yield (1)	0.5	%	0.6	%	Investment yield (1)	1.5	%	1.8	%
Adjustment of investment yield from amortized cost to fair value	Adjustment of investment yield from amortized cost to fair value	(0.1)	%	(0.2)	%	Adjustment of investment yield from amortized cost to fair value	(0.4)	%	(0.4)	%
Net amortization of net premium on fixed maturity securities	Net amortization of net premium on fixed maturity securities	0.1	%	0.1	%	Net amortization of net premium on fixed maturity securities	0.3	%	0.3	%
Net investment gains (losses) and change in net unrealized investment gains on available-for-sale securities	Net investment gains (losses) and change in net unrealized investment gains on available-for-sale securities	0.9	%	(7.9)	%	Net investment gains (losses) and change in net unrealized investment gains on available-for-sale securities	3.2	%	1.0	%

Taxable equivalent effect for interest and dividends (2)						Taxable equivalent effect for interest and dividends (2)	0.1	%	0.1	%
Other ~~(2)~~(3)	Other ~~(2)~~(3)	—	%	0.4	%	Other ~~(2)~~(3)	0.4	%	1.0	%
Taxable equivalent total investment return	Taxable equivalent total investment return	1.4	%	(7.0)	%	Taxable equivalent total investment return	5.1	%	3.8	%

(1) Investment yield reflects net investment income as a percentage of monthly average invested assets at amortized cost.

(2) Adjustment to tax-exempt interest and dividend income to reflect a taxable equivalent basis.

(3) Adjustment to reflect the impact of time-weighting the inputs to the calculation of taxable equivalent total investment return.

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Markel Ventures

Our Markel Ventures segment includes a diverse portfolio of businesses from different industries that offer various types of products and services to businesses and consumers, predominantly in the United States. We measure Markel Ventures' results by its operating income and net income, as well as earnings before interest, income taxes, depreciation and amortization (EBITDA). We consolidate the results of our Markel Ventures subsidiaries on a one-month lag, with the exception of any significant transactions or events that occur in the intervening period.

The following table summarizes the operating revenues, operating income, EBITDA and net income to shareholders from our Markel Ventures segment.


		Three Months Ended March 31,			Quarter Ended September 30,								Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021			2020		% Change		(dollars in thousands)	2021		2020		% Change		2021		2020		% Change
Operating revenues	Operating revenues		$	706,602		$	511,221	38	%	Operating revenues	$	908,185	$	824,132	10	%	$	2,690,293	$	2,013,492	34	%
Operating income	Operating income		$	51,463		$	41,757	23	%	Operating income	$	54,969	$	79,605	(31)	%	$	215,097	$	200,766	7	%
EBITDA	EBITDA		$	81,178		$	67,460	20	%	EBITDA	$	84,348	$	110,804	(24)	%	$	303,883	$	283,536	7	%
Net income to shareholders	Net income to shareholders		$	32,683		$	17,739	84	%	Net income to shareholders	$	34,398	$	48,731	(29)	%	$	135,632	$	108,712	25	%

The increase in operating revenues for the ~~three months~~quarter ended ~~March 31,~~September 30, 2021 compared to the same period of 2020 was driven by an increase in sales volumes at our transportation-related businesses, reflecting a ~~$239.8 million~~level consistent with sales prior to the COVID-19 pandemic, which significantly impacted sales volumes in 2020, and at our construction services businesses, primarily due to higher sales prices. The increase in operating revenues from our construction services businesses due to the acquisition of Lansing in April 2020. Operating revenues from our other Markel Ventures businesses decreased due to lower sales volumes, primarily at our transportation-related and consulting services businesses. The first quarter of 2020 reflected strong revenues across many of our businesses, the results of which had not yet been impacted by the COVID-19 pandemic, due in part to their cyclical nature. Additionally, operating revenues attributable to our healthcare businesses decreased for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 compared to the same period of 2020 was driven by an increase of $527.7 million from our construction services businesses due to an increased contribution from Lansing, which was acquired in April 2020. Additionally, operating revenues for the nine months ended September 30, 2021 increased across our transportation-related businesses, consumer and building products businesses and equipment manufacturing businesses, due in part to lower sales volumes at most of these businesses in 2020 as a result of the economic and social disruption caused by the COVID-19 pandemic, as well as further increases in demand within our consumer and building products businesses reflecting increases in consumer spending. These increases in operating revenues for both periods were partially offset by lower operating revenues from our healthcare businesses due to the sale of certain subsidiaries of one of our healthcare businesses in January 2021. ~~In connection with this~~

The benefit of increases in operating revenues to operating income, EBITDA and net income to shareholders for both the quarter and nine months ended September 30, 2021 was limited by increased costs of goods sold across many of our businesses, which are reflective of current economic conditions where supply constraints are contributing to increasing wholesale prices, particularly for raw materials, across a variety of industries.

Operating income, EBITDA and net income to shareholders decreased for the quarter ended September 30, 2021 compared to the same period of 2020, driven by the impact of lower revenues and operating margins at one of our consulting services businesses in 2021 compared to 2020, as well as the impact of a pre-tax gain in the third quarter of 2020 on the sale ~~and other associated changes in this business, we recognized a transaction gain~~ of ~~$22.0 million,~~assets at one of our leasing businesses, which was included in services and other ~~expenses for the three months ended March 31, 2021.~~ expenses.

The increase in operating income, EBITDA and net income to shareholders for the nine months ended September 30, 2021 compared to the same period of 2020 was driven by the increased contribution of Lansing and a pre-tax transaction gain of $22.0 million in the first quarter of 2021, ~~attributable to~~which was included in services and other expenses and recognized in connection with the sale of certain subsidiaries at one of our healthcare businesses, as previously discussed, as well as other associated changes in this ~~gain was~~business. These increases were partially offset by the impact of lower revenues and operating ~~revenues~~margins at one of our ~~transportation-related and~~ consulting services businesses in 2021 compared to ~~2020.~~2020, as well as a $17.2 million pre-tax increase in our estimate of the contingent consideration obligations during the second quarter of 2021 related to better than expected financial performance of certain of our recent acquisitions.

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Markel Ventures EBITDA is a non-GAAP financial measure. We use Markel Ventures EBITDA as an operating performance measure in conjunction with U.S. GAAP measures, including operating revenues, operating income and net income to shareholders, to monitor and evaluate the performance of our Markel Ventures segment. Because EBITDA excludes interest, income taxes, depreciation and amortization, it provides an indicator of economic performance that is useful to both management and investors in evaluating our Markel Ventures businesses as it is not affected by levels of debt, interest rates, effective tax rates or levels of depreciation or amortization resulting from purchase accounting. The following table reconciles Markel Ventures operating income to Markel Ventures EBITDA.


		Three Months Ended March 31,			Quarter Ended September 30,						Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021			2020		(dollars in thousands)	2021		2020		2021		2020
Markel Ventures operating income	Markel Ventures operating income		$	51,463		$	41,757	Markel Ventures operating income	$	54,969	$	79,605	$	215,097	$	200,766
Depreciation expense	Depreciation expense		16,010			13,862		Depreciation expense	15,838		15,337		47,682		43,471
Amortization of intangible assets	Amortization of intangible assets		13,705			11,841		Amortization of intangible assets	13,541		15,862		41,104		39,299
Markel Ventures EBITDA	Markel Ventures EBITDA		$	81,178		$	67,460	Markel Ventures EBITDA	$	84,348	$	110,804	$	303,883	$	283,536

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Other Operations

The following table presents the components of operating revenues and operating expenses that are not included in a reportable segment.


		Three Months Ended March 31,													Quarter Ended September 30,
		2021						2020							2021						2020
(dollars in thousands)	(dollars in thousands)	Services and other revenues		Services and other expenses		Amortization of intangible assets		Services and other revenues		Services and other expenses		Amortization of intangible assets		(dollars in thousands)	Services and other revenues		Services and other expenses		Amortization of intangible assets		Services and other revenues		Services and other expenses		Amortization of intangible assets
Other operations:	Other operations:													Other operations:
Insurance-linked securities	Insurance-linked securities	$	36,987	$	48,132	$	9,612	$	50,838	$	48,202	$	9,612	Insurance-linked securities	$	46,879	$	45,313	$	9,612	$	35,525	$	42,761	$	9,612
Program services and other fronting	Program services and other fronting	28,163		6,328		5,234		25,850		7,154		5,234		Program services and other fronting	32,531		2,755		5,235		23,519		4,746		5,235
Life and annuity	Life and annuity	526		6,414		—		378		6,048		—		Life and annuity	345		(1,351)		—		541		1,063		—
Other (1)	Other (1)	6,783		6,315		599		10,052		12,600		682		Other (1)	3,486		2,009		599		3,908		41,373		3,579
		72,459		67,189		15,445		87,118		74,004		15,528			83,241		48,726		15,446		63,493		89,943		18,426
Underwriting operations	Underwriting operations					10,403						10,489		Underwriting operations					10,281						10,376
Total	Total	$	72,459	$	67,189	$	25,848	$	87,118	$	74,004	$	26,017	Total	$	83,241	$	48,726	$	25,727	$	63,493	$	89,943	$	28,802

(1) Other includes the results of our run-off Markel CATCo operations for both periods presented. For the quarter ended September 30, 2020, services and other expenses included a legal settlement at our Markel CATCo operations.


	Nine Months Ended September 30,
	2021						2020
(dollars in thousands)	Services and other revenues		Services and other expenses		Amortization of intangible assets		Services and other revenues		Services and other expenses		Amortization of intangible assets
Other operations:
Insurance-linked securities	$	139,621	$	140,096	$	28,836	$	137,034	$	131,898	$	28,836
Program services and other fronting	88,721		15,265		15,703		74,561		16,073		15,703
Life and annuity	1,002		11,041		—		1,071		12,613		—
Other (1)	12,573		15,092		1,806		24,843		65,647		4,918
	241,917		181,494		46,345		237,509		226,231		49,457
Underwriting operations					31,101						31,520
Total	$	241,917	$	181,494	$	77,446	$	237,509	$	226,231	$	80,977

(1) Other includes the results of our run-off Markel CATCo operations for both periods presented. For the nine months ended September 30, 2020, services and other expenses included a legal settlement at our Markel CATCo operations.

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Insurance-Linked Securities

~~Our insurance-linked securities operations include results from our Nephila operations, as well as start-up costs associated with Lodgepine.~~ For both the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, the ~~decrease~~increase in operating revenues in our insurance-linked securities operations was driven by growth in our third-party Nephila managing general agent operations. For the nine months ended September 30, 2021, the increase was partially offset by lower investment management fees at our Nephila operations due in part to lower average assets under management during the ~~three months ended March 31,~~first quarter of 2021 compared to the ~~three months ended March 31,~~same period of 2020. Nephila's net assets under management were ~~$9.5~~$9.3 billion as of ~~March 31,~~September 30, 2021.

Program Services and Other Fronting

For both the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, the increase in operating revenues in our program services and other fronting operations was primarily due to higher gross premium volume at our program services ~~operations. Gross written premiums in our program services~~ operations ~~were $611.8 million for the three months ended March 31, 2021 compared to $393.2 million for the three months ended March 31, 2020. The increase in gross premium volume was~~ driven by the expansion of existing programs, as well as growth from new programs. Gross ~~premium volume~~written premiums in our program services operations were $726.6 million and $2.1 billion for the quarter and nine months ended September 30, 2021, respectively, compared to $536.6 million and $1.5 billion for the quarter and nine months ended September 30, 2020, ~~was unfavorably impacted by the cancellation of an in-force book of policies related to a large program resulting in a one-time unfavorable premium adjustment of $55.0 million.~~respectively.

Interest Expense and Income Taxes

Interest Expense

Interest expense was ~~$42.4~~$46.5 million and $135.4 million for the ~~three~~quarter and nine months ended ~~March 31,~~September 30, 2021, respectively, compared to ~~$45.0~~$42.7 million and $133.2 million for the same ~~period~~periods of 2020. The increase in interest expense for both the quarter and nine months ended September 30, 2021 was primarily attributable to interest expense associated with our 3.45% unsecured senior notes issued in the second quarter of 2021.

Income Taxes

The effective tax rate was ~~20%~~21% for the nine months ended September 30, 2021. The effective tax rate for the nine months ended September 30, 2020 was not meaningful due to the small pre-tax loss in the period. We use the estimated annual effective tax rate method for calculating our tax provision in interim periods. This method applies our best estimate of the effective tax rate expected for the full year to year-to-date earnings before income taxes. Certain items, including those deemed to be unusual, infrequent or that cannot be reliably estimated (discrete items), are excluded from the estimated annual effective tax rate, and the related tax expense or benefit is reported in the same period as the related item. The estimated annual effective tax rate was 22% and 21% for the ~~three~~nine months ended ~~March 31,~~September 30, 2021 and 2020, respectively.

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Comprehensive Income ~~(Loss)~~ to Shareholders and Book Value per Common Share

The following table summarizes the components of comprehensive income ~~(loss)~~ to shareholders.


		Three Months Ended March 31,			Quarter Ended September 30,						Nine Months Ended September 30,
(dollars in thousands)	(dollars in thousands)		2021			2020		(dollars in thousands)	2021		2020		2021		2020
Net income (loss) to shareholders	Net income (loss) to shareholders		$	573,694		$	(1,405,763)	Net income (loss) to shareholders	$	188,070	$	452,726	$	1,553,874	$	(31,269)
Other comprehensive income (loss) to shareholders:	Other comprehensive income (loss) to shareholders:							Other comprehensive income (loss) to shareholders:
Change in net unrealized gains on available-for-sale investments, net of taxes	Change in net unrealized gains on available-for-sale investments, net of taxes		(214,464)			65,564		Change in net unrealized gains on available-for-sale investments, net of taxes	(104,014)		61,087		(266,486)		297,927
Other, net of taxes	Other, net of taxes		(216)			(12,734)		Other, net of taxes	(3,851)		6,294		1,502		(6,961)
Other comprehensive (income) loss attributable to noncontrolling interest	Other comprehensive (income) loss attributable to noncontrolling interest		(17)			124		Other comprehensive (income) loss attributable to noncontrolling interest	31		(18)		(3)		(24)
Other comprehensive income (loss) to shareholders	Other comprehensive income (loss) to shareholders		(214,697)			52,954		Other comprehensive income (loss) to shareholders	(107,834)		67,363		(264,987)		290,942
Comprehensive income (loss) to shareholders			$	358,997		$	(1,352,809)
Comprehensive income to shareholders								Comprehensive income to shareholders	$	80,236	$	520,089	$	1,288,887	$	259,673

Book value per common share increased 3%11% from $885.72 at December 31, 2020 to ~~$913.33~~$980.99 as of ~~March 31,~~September 30, 2021, primarily due to ~~the~~ net income to shareholders for the ~~three~~nine months ended ~~March 31,~~September 30, 2021.

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Financial Condition

~~Investments, cash~~Liquidity and cash equivalents and restricted cash and cash equivalents (invested assets) were $25.6 billion and $24.9 billion at March 31, 2021 and December 31, 2020, respectively. Our holding company had $4.0 billion and $4.1 billion of invested assets at March 31, 2021 and December 31, 2020, respectively.

Net cash provided by operating activities was $318.1 million for the three months ended March 31, 2021 compared to $65.7 million for the same period of 2020. The increase in net cash flows from operating activities for the three months ended March 31, 2021 was primarily driven by higher net premium volumes in our Insurance segment.

Net cash used by investing activities was $1.1 billion for the three months ended March 31, 2021 compared to net cash provided by investing activities of $906.6 million for the same period of 2020. During the three months ended March 31, 2021, we increased our holdings of short-term investments by $663.1 million and our purchases of fixed maturity securities exceeded proceeds from maturities and sales of fixed maturities by $480.5 million. During the three months ended March 31, 2020, net cash provided by investing activities reflects a significant reduction in our holdings of short-term investments as we were retaining proceeds from maturities of short-term investments in cash and cash equivalents in response to uncertainties related to COVID-19. Cash flow from investing activities is affected by various factors such as anticipated payment of claims, financing activity, acquisition opportunities and individual buy and sell decision made in the normal course of our investment portfolio management.

Net cash provided by financing activities was $53.7 million for the three months ended March 31, 2021 compared to $20.9 million for the same period of 2020. During the three months ended March 31, 2021 and 2020, we had net increases in borrowings, primarily on a revolving line of credit at one of our Markel Ventures businesses. Cash of $22.0 million and $23.9 million was used to repurchase outstanding common shares of our stock during the first three months of 2021 and 2020, respectively.Capital Resources

We seek to maintain prudent levels of liquidity and financial leverage for the protection of our policyholders, creditors and shareholders. Our debt to capital ratio was 23% at September 30, 2021 and 21% at ~~March~~December 31, 2020. The increase reflects an increase in senior long-term debt and other debt, primarily attributable to senior notes issued in May 2021.

In May 2021, we issued $600 million of 3.45% unsecured senior notes due May 2052 with net proceeds of $591.4 million, before expenses. See note 10 of the notes to consolidated financial statements for further information regarding our May 2021 debt offering.

Investments, cash and cash equivalents and restricted cash and cash equivalents (invested assets) were $27.4 billion and $24.9 billion at September 30, 2021 and December 31, ~~2020.~~2020, respectively. The following table presents the composition of our invested assets.


	September 30, 2021		December 31, 2020
Fixed maturity securities	44	%	43	%
Equity securities	30	%	28	%
Short-term investments, cash and cash equivalents and restricted cash and cash equivalents	26	%	29	%
Total	100	%	100	%

Our holding company had $4.8 billion and $4.1 billion of invested assets at September 30, 2021 and December 31, 2020, respectively. The increase is primarily due to net proceeds from our May 2021 debt offering. The following table presents the composition of our holding company's invested assets.


	September 30, 2021		December 31, 2020
Fixed maturity securities	5	%	7	%
Equity securities	44	%	45	%
Short-term investments, cash and cash equivalents and restricted cash and cash equivalents	51	%	48	%
Total	100	%	100	%

We have access to various capital sources, including dividends from certain of our ~~insurance and Markel Ventures~~ subsidiaries, holding company invested assets, undrawn capacity under our corporate revolving credit facility and access to the debt and equity capital markets. We believe that we have sufficient liquidity to meet our capital needs. However, the availability of these sources of capital and the availability and terms of future financings will depend on a variety of factors, and could be adversely affected by, among other things, risks and uncertainties related to ~~COVID-19.~~the COVID-19 pandemic.

In September and October 2021, we announced the terms of a proposed transaction that would allow the acceleration of a full return of remaining capital to our Markel CATCo investors. Under the terms of the proposed transaction, we would provide cash funding that is not expected to exceed $270 million and tail risk cover of $100 million. We would also make $75 million in cash payments to or for the benefit of investors. See note 14 of the notes to consolidated financial statements for further details about the proposed transaction.

Cash Flows

Net cash provided by operating activities was $1.6 billion for the nine months ended September 30, 2021 compared to $1.3 billion for the same period of 2020. The increase in net cash flows from operating activities for the nine months ended September 30, 2021 was primarily driven by higher net premium volumes in our Insurance segment, partially offset by higher claims settlement activity across both of our underwriting segments.

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Net cash used by investing activities was $2.7 billion for the nine months ended September 30, 2021 compared to net cash provided by investing activities of $22.5 million for the same period of 2020. During the nine months ended September 30, 2021, net cash used by investing activities included purchases of fixed maturity securities of $1.7 billion, net of proceeds from maturities and sales of fixed maturity securities, and net purchases of short-term investments of $727.4 million. Net cash used by investing activities in 2021 also included $237.9 million of net cash used for the acquisition of Buckner. During the nine months ended September 30, 2020, net cash provided by investing activities included $1.2 billion from net sales of equity securities, which was partially offset by cash used to increase our holdings of short-term investments and $547.9 million of net cash used for the acquisition of Lansing. During the nine months ended September 30, 2020, net cash provided by investing activities reflected several actions taken within our investment portfolio to increase our allocation to cash in response to uncertainties related to COVID-19, while the nine months ended September 30, 2021 reflect a reallocation of cash, primarily to fixed income securities and short-term investments. Cash flow from investing activities is affected by various factors such as anticipated payment of claims, financing activity, acquisition opportunities and individual buy and sell decisions made in the normal course of our investment portfolio management.

Net cash provided by financing activities was $439.4 million for the nine months ended September 30, 2021, which included net proceeds of $591.4 million from our May 2021 debt offering, as previously discussed. We paid dividends of $18.0 million on our preferred shares during the nine months ended September 30, 2021. Net cash provided by financing activities was $475.6 million for the nine months ended September 30, 2020, which included net proceeds of $591.9 million from our May 2020 preferred shares offering. Cash of $122.4 million and $23.9 million was used to repurchase outstanding common shares of our stock during the first nine months of 2021 and 2020, respectively.

Critical Accounting Estimates

Critical accounting estimates are those estimates that both are important to the portrayal of our financial condition and results of operations and require us to exercise significant judgment. The preparation of financial statements in accordance with U.S. GAAP requires us to make estimates and assumptions that affect the reported amounts of assets, liabilities, revenues and expenses and the disclosure of material contingent assets and liabilities. These estimates, by necessity, are based on assumptions about numerous factors.

Our critical accounting estimates consist of estimates and assumptions used in determining the reserves for unpaid losses and loss adjustment expenses and life and annuity reinsurance benefit reserves as well as estimates and assumptions used in the valuation of goodwill and intangible assets. We review the adequacy of reserves for unpaid losses and loss adjustment expenses and life and annuity reinsurance benefit reserves quarterly. Estimates and assumptions for goodwill and intangible assets are reviewed in conjunction with acquisitions and ~~goodwill~~impairment assessments. Goodwill and indefinite-lived intangible assets are reassessed for impairment at least ~~annually or~~annually. All intangible assets, including goodwill, are also reviewed for impairment when events or circumstances indicate that their carrying value may not be recoverable. Actual results may differ materially from the estimates and assumptions used in preparing the consolidated financial statements.

Readers are urged to review our 2020 Annual Report on Form 10-K for a more complete description of our critical accounting estimates.

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Safe Harbor and Cautionary Statement

This report contains statements concerning or incorporating our expectations, assumptions, plans, objectives, future financial or operating performance and other statements that are not historical facts. These statements are "forward-looking statements" within the meaning of the Private Securities Litigation Reform Act of 1995. Such statements may use words such as "anticipate," "believe," "estimate," "expect," "intend," "predict," "project" and similar expressions as they relate to us or our management.

There are risks and uncertainties that may cause actual results to differ materially from predicted results in forward-looking statements. Factors that may cause actual results to differ are often presented with the forward-looking statements themselves. Additional factors that could cause actual results to differ from those predicted are set forth under "Business Overview," "Risk Factors," and "Management's Discussion and Analysis of Financial Condition and Results of Operations" in our 2020 Annual Report on Form 10-K, or are included in the items listed below:

•current global economic, market and industry conditions, as well as significant volatility, uncertainty and disruption caused by the COVID-19 pandemic, including governmental, legislative, judicial or regulatory actions or developments affecting our businesses;

•our expectations about future results of our underwriting, investing, Markel Ventures and other operations are based on current knowledge and assume no significant man-made or natural catastrophes, no significant changes in products or personnel and no adverse changes in market conditions;

•the effect of cyclical trends on our underwriting, investing, Markel Ventures and other operations, including demand and pricing in the insurance, reinsurance and other markets in which we operate;

•actions by competitors, including the use of technology and innovation to simplify the customer experience, increase efficiencies, redesign products, alter models and effect other potentially disruptive changes in the insurance industry, and the effect of competition on market trends and pricing;

•our efforts to develop new products, expand in targeted markets or improve business processes and workflows may not be successful and may increase or create new risks (e.g., insufficient demand, change to risk exposures, distribution channel conflicts, execution risk, increased expenditures);

•the frequency and severity of man-made and natural catastrophes (including earthquakes, wildfires and weather-related catastrophes) may exceed expectations, are unpredictable and, in the case of wildfires and weather-related catastrophes, may be exacerbated if, as many forecast, changing conditions in the oceans and atmosphere result in increased hurricane, flood, drought or other adverse weather-related activity;

•we offer insurance and reinsurance coverage against terrorist acts in connection with some of our programs, and in other instances we are legally required to offer terrorism insurance; in both circumstances, we actively manage our exposure, but if there is a covered terrorist attack, we could sustain material losses;

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•emerging claim and coverage issues, changing legal and social trends, and inherent uncertainties in the loss estimation process can adversely impact the adequacy of our loss reserves and our allowance for reinsurance recoverables;

•reinsurance reserves are subject to greater uncertainty than insurance reserves, primarily because of reliance upon the original underwriting decisions made by ceding companies and the longer lapse of time from the occurrence of loss events to their reporting to the reinsurer for ultimate resolution;

•inaccuracies (whether due to data error, human error or otherwise) in the various modeling techniques and data analytics (e.g., scenarios, predictive and stochastic modeling, and forecasting) we use to analyze and estimate exposures, loss trends and other risks associated with our insurance and insurance-linked securities businesses could cause us to misprice our products or fail to appropriately estimate the risks to which we are exposed;

•changes in the assumptions and estimates used in establishing reserves for our life and annuity reinsurance book (which is in runoff), for example, changes in assumptions and estimates of mortality, longevity, morbidity and interest rates, could result in material increases in our estimated loss reserves for such business;

•adverse developments in insurance coverage litigation or other legal or administrative proceedings could result in material increases in our estimates of loss reserves;

•initial estimates for catastrophe losses are often based on limited information, are dependent on broad assumptions about the nature and extent of losses, coverage, liability and reinsurance, and those losses may ultimately differ materially from our expectations;

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•changes in the availability, costs, quality and providers of reinsurance coverage, which may impact our ability to write or continue to write certain lines of business or to mitigate the volatility of losses on our results of operations and financial condition;

•the ability or willingness of reinsurers to pay balances due may be adversely affected by industry and economic conditions, deterioration in reinsurer credit quality and coverage disputes, and collateral we hold, if any, may not be sufficient to cover a reinsurer's obligation to us;

•after the commutation of ceded reinsurance contracts, any subsequent adverse development in the re-assumed loss reserves will result in a charge to earnings;

•regulatory actions can impede our ability to charge adequate rates and efficiently allocate capital;

•general economic and market conditions and industry specific conditions, including extended economic recessions or expansions; prolonged periods of slow economic growth; inflation or deflation; fluctuations in foreign currency exchange rates, commodity and energy prices and interest rates; volatility in the credit and capital markets; and other factors;

•economic conditions, actual or potential defaults in corporate bonds, municipal bonds, mortgage-backed securities or sovereign debt obligations, volatility in interest and foreign currency exchange rates and changes in market value of concentrated investments can have a significant impact on the fair value of our fixed maturity securities and equity securities, as well as the carrying value of our other assets and liabilities, and this impact may be heightened by market volatility and our ability to mitigate our sensitivity to these changing conditions;

•economic conditions may adversely affect our access to capital and credit markets;

•the effects of government intervention, including material changes in the monetary policies of central banks, to address financial downturns and economic and currency concerns;

•the impacts that political and civil unrest and regional conflicts may have on our businesses and the markets they serve or that any disruptions in regional or worldwide economic conditions generally arising from these situations may have on our businesses, industries or investments;

•the impacts that health epidemics and pandemics, including the COVID-19 pandemic, as well as actions of local, state and federal authorities in response thereto, may have on our business operations and claims activity;

•the impact on our businesses in the event of a repeal, in part or in whole, or modification of U.S. health care reform legislation and regulations;

•changes in U.S. tax laws, regulations or interpretations, or in the tax laws, regulations or interpretations of other jurisdictions in which we operate, and adjustments we may make in our operations or tax strategies in response to those changes;

•a failure or security breach of, or cyber-attack on, enterprise information technology systems that we use or a failure to comply with data protection or privacy regulations;

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•outsourced providers may perform poorly, breach their obligations to us or expose us to enhanced risks;

•our acquisitions may increase our operational and internal control risks for a period of time;

•we may not realize the contemplated benefits, including cost savings and synergies, of our acquisitions;

•any determination requiring the write-off of a significant portion of our goodwill and intangible assets;

•the failure or inadequacy of any methods we employ to manage our loss exposures;

•the loss of services of any executive officer or other key personnel could adversely impact one or more of our operations;

•the manner in which we manage our global operations through a network of business entities could result in inconsistent management, governance and oversight practices and make it difficult for us to implement strategic decisions and coordinate procedures;

•our substantial international operations and investments expose us to increased political, civil, operational and economic risks, including foreign currency exchange rate and credit risk;

•the political, legal, regulatory, financial, tax and general economic impacts, and other impacts we cannot anticipate, related to the United Kingdom's withdrawal from the European Union (Brexit), which could have adverse consequences for our businesses, particularly our London-based international insurance operations;

•our ability to obtain additional capital for our operations on terms favorable to us;

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•our compliance, or failure to comply, with covenants and other requirements under our revolving credit facility, senior debt and other indebtedness and our preferred shares;

•our ability to maintain or raise ~~third party~~third-party capital for existing or new investment vehicles and risks related to our management of ~~third party~~third-party capital;

•the effectiveness of our procedures for compliance with existing and future guidelines, policies and legal and regulatory standards, rules, laws and regulations;

•the impact of economic and trade sanctions and embargo programs on our businesses, including instances in which the requirements and limitations applicable to the global operations of U.S. companies and their affiliates are more restrictive than, or conflict with, those applicable to non-U.S. companies and their affiliates;

•regulatory changes, or challenges by regulators, regarding the use of certain issuing carrier or fronting arrangements;

•our dependence on a limited number of brokers for a large portion of our revenues and third-party capital;

•adverse changes in our assigned financial strength, debt or preferred share ratings or outlook could adversely impact us, including our ability to attract and retain business, the amount of capital our insurance subsidiaries must hold and the availability and cost of capital;

•changes in the amount of statutory capital our insurance subsidiaries are required to hold, which can vary significantly and is based on many factors, some of which are outside our control;

•losses from litigation and regulatory investigations and actions;

•investor litigation or disputes, as well as regulatory inquiries, investigations or proceedings, including the inquiry by the Bermuda Monetary Authority, related to our Markel CATCo operations; delays or disruptions in the run-off of those operations; or the inability to complete, or failure to realize the benefits of, the proposed transaction that would allow the accelerated return of capital to our Markel CATCo investors, including due to the failure to obtain requisite approvals or satisfaction of other conditions on the proposed terms and schedule; and

•a number of additional factors may adversely affect our Markel Ventures operations, and the markets they serve, and negatively impact their revenues and profitability, including, among others: adverse weather conditions, plant disease and other contaminants; changes in government support for education, healthcare and infrastructure projects; changes in capital spending levels; changes in the housing, commercial and ~~commercial~~industrial construction markets; liability for environmental matters; supply chain and shipping issues, including increases in freight costs; volatility in the market prices for their products; and volatility in commodity, wholesale and raw materials prices and interest and foreign currency exchange rates.

Results from our underwriting, investing, Markel Ventures and other operations have been and will continue to be potentially materially affected by these factors. In addition, with respect to previously reported developments at Markel CATCo and the decision to place both the Markel CATCo Reinsurance Fund Ltd., a Bermuda exempted mutual fund company comprised of multiple segregated accounts, and Markel CATCo Re Ltd. (Markel CATCo Re) into run-off:

•the inquiries by the U.S. Department of Justice, U.S. Securities and Exchange Commission and Bermuda Monetary Authority into loss reserves recorded in late 2017 and early 2018 at Markel CATCo Re (the Markel CATCo Inquiries) may result in adverse findings, reputational damage, the imposition of sanctions, increased costs, litigation and other negative consequences; and

•~~management time and resources may be diverted to address the Markel CATCo Inquiries, as well as related litigation.~~

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By making forward-looking statements, we do not intend to become obligated to publicly update or revise any such statements whether as a result of new information, future events or other changes. Readers are cautioned not to place undue reliance on any forward-looking statements, which speak only as at their dates.

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Item 3. Quantitative and Qualitative Disclosures About Market Risk

Market risk is the risk of economic losses due to adverse changes in the estimated fair value of a financial instrument as the result of changes in equity prices, interest rates, foreign currency exchange rates and commodity prices. Our consolidated balance sheets include assets and liabilities with estimated fair values that are subject to market risk. Our primary market risks ~~have been~~are equity price risk associated with investments in equity securities, interest rate risk associated with investments in fixed maturity securities and foreign currency exchange rate risk associated with our international operations. Some businesses within our Markel Ventures operations are exposed to commodity price risk resulting from changes in the price of raw materials, parts and other components necessary to manufacture products, however, this risk is not material to the Company. The operating results of these businesses could be adversely impacted should they be unable to obtain price increases from customers in response to significant increases in raw materials, parts and other component prices. During the ~~three~~nine months ended ~~March 31,~~September 30, 2021, there were no material changes to the market risk components described in our Annual Report on Form 10-K for the year ended December 31, 2020.

The estimated fair value of our investment portfolio at March 31, 2021 was $25.6 billion, 42% of which was invested in fixed maturity securities and 29% of which was invested in equity securities. At December 31, 2020, the estimated fair value of our investment portfolio was $24.9 billion, 43% of which was invested in fixed maturity securities and 28% of which was invested in equity securities.

Our fixed maturity portfolio includes corporate bonds, mortgage-backed securities and securities issued by municipalities, foreign governments and non-sovereign foreign institutions. Credit risk exists within our fixed maturity portfolio from the potential for loss resulting from adverse changes in an issuer's ability to repay its debt obligations. During the ~~three~~nine months ended ~~March 31,~~September 30, 2021, there were no material changes in our corporate bond, mortgage-backed security, municipal bond or foreign government fixed maturity holdings.

We believe that our fixed maturity portfolio is highly diversified and is comprised of high quality securities. Our fixed maturity portfolio has an average rating of "AAA," with 99% rated "A" or better by at least one nationally recognized rating organization. Our policy is to invest in investment grade securities and to minimize investments in fixed maturity securities that are unrated or rated below investment grade. At ~~March 31,~~September 30, 2021, less than 1% of our fixed maturity portfolio was unrated or rated below investment grade. Our fixed maturity portfolio includes securities issued with financial guaranty insurance. We purchase fixed maturity securities based on our assessment of the credit quality of the underlying assets without regard to insurance.

We also have credit risk to the extent any of our reinsurers are unwilling or unable to meet their obligations under our ceded reinsurance agreements. As of December 31, 2020, all of our ten largest reinsurers within our underwriting operations were rated "A" or better by A.M. Best and within our program services business, six of our ten largest reinsurers were rated "A" or better by A.M. Best. For reinsurers within our program services business with a credit rating of lower than "A" we employ a stringent collateral monitoring program, under which the majority of the reinsurance recoverable balances are fully collateralized. During the ~~three~~nine months ended ~~March 31,~~September 30, 2021, there were no material changes to the credit ratings of our top ten reinsurers within our underwriting and program services operations as reported in our Annual Report on Form 10-K for the year ended December 31, 2020.

Item 4. Controls and Procedures

Evaluation of Disclosure Controls and Procedures

As of the end of the period covered by this quarterly report, we evaluated the effectiveness of the design and operation of our disclosure controls and procedures (Disclosure Controls), as defined under Rules 13a-15(e) and 15d-15(e) of the Securities Exchange Act of 1934 (Exchange Act). This evaluation was conducted under the supervision and with the participation of our management, including the Co-Principal Executive Officers (Co-PEOs) and the Principal Financial Officer (PFO).

Based upon this evaluation, the Co-PEOs and PFO concluded that effective Disclosure Controls were in place to ensure that the information required to be disclosed in reports we file or submit under the Exchange Act is recorded, processed, summarized and reported within the time periods specified in the Securities and Exchange Commission's rules and forms.

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Changes in Internal Control over Financial Reporting

There were no changes in our internal control over financial reporting during the ~~first~~third quarter of 2021 that materially affected, or are reasonably likely to materially affect, our internal control over financial reporting.

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PART II. OTHER INFORMATION

Item 1. Legal Proceedings

~~In addition~~Markel CATCo Inquiries

We previously reported that in December 2018 the U.S. Department of Justice (DOJ), U.S. Securities and Exchange Commission (SEC) and Bermuda Monetary Authority (BMA) (together, the Governmental Authorities) initiated inquiries into loss reserves recorded in late 2017 and early 2018 at our Markel CATCo operations. Those reserves are held at Markel CATCo Reinsurance Ltd., an unconsolidated subsidiary of MCIM, which has been in runoff since July 2019. The Markel CATCo Inquiries are limited to MCIM and its subsidiaries (together, Markel CATCo) and do not involve other Markel subsidiaries.

We retained outside counsel to conduct an internal review of Markel CATCo's loss reserving in late 2017 and early 2018. The internal review was completed in April 2019 and found no evidence that Markel CATCo personnel acted in bad faith in exercising business judgment in the setting of reserves and making related disclosures during late 2017 and early 2018. Our outside counsel met with the Governmental Authorities and reported the findings from the internal review.

On September 27, 2021, the SEC notified us that it has concluded its investigation and it does not intend to recommend an enforcement action against MCIM. On September 28, 2021, we were advised by the DOJ that it has concluded its investigation and will not take any action against MCIM. Throughout the inquiries, we have proactively kept the BMA informed of the status of the SEC and DOJ investigations, including the recent conclusion of those investigations. There are currently no pending requests from the BMA, and it has been over a year since the BMA has contacted us in relation to the ~~matter below, see note 12 of the notes to consolidated financial statements for discussion of pending legal and regulatory matters.~~governmental inquiries.

Thomas Yeransian v. Markel Corporation

We previously reported that Thomas Yeransian, in his capacity as the representative of holders of certain contingent value rights (CVRs), has filed three suits against the Company:

•Thomas Yeransian v. Markel Corporation (U.S. District Court for the District of Delaware), filed September 15, 2016. On July 31, 2017, the court granted our motion to stay the litigation and compel arbitration under the terms of the CVR agreement;

•Thomas Yeransian v. Markel Corporation (U.S. District Court for the District of Delaware), filed November 13, 2018. On August 6, 2019, the court granted our motion to stay this suit until the arbitration for the original suit has concluded; and

•Thomas Yeransian v. Markel Corporation (U.S. District Court for the District of Delaware), filed June 5, 2020. On March 16, 2021, the court granted our motion to stay this suit.

Under the arbitration terms of the CVR Agreement, independent experts were appointed to determine the final value of the CVRs. On September 20, 2021, the experts delivered their report indicating a final CVR valuation of $22.4 million, excluding interest. We had previously paid $8.0 million to the CVR holders, representing 90% of the undisputed value of the CVRs, plus interest of $1.9 million. On September 20, 2021, we paid $20.1 million, which represents $14.1 million for the unpaid portion of the final CVR amount (excluding fees payable to a third-party), plus $6.0 million in additional interest.

The stay has been lifted on each pending suit, and we have asked the court to consolidate the three suits and to dismiss, or grant us summary judgment on, all counts.

For additional information regarding these three suits, see Item 3 Legal Proceedings in our 2020 Annual Report on Form 10-K.

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Item 2. Unregistered Sales of Equity Securities and Use of Proceeds

The following table summarizes our common share repurchases for the quarter ended ~~March 31,~~September 30, 2021.


Issuer Purchases of Equity Securities	Issuer Purchases of Equity Securities							Issuer Purchases of Equity Securities
		(a)	(b)		(c)	(d)			(a)	(b)		(c)	(d)
Period	Period	Total Number of Shares Purchased	Average Price Paid per Share		Total Number of Shares Purchased as Part of Publicly Announced Plans or Programs(1)	Approximate Dollar Value of Shares that May Yet Be Purchased Under the Plans or Programs (in thousands)		Period	Total Number of Shares Purchased	Average Price Paid per Share		Total Number of Shares Purchased as Part of Publicly Announced Plans or Programs(1)	Approximate Dollar Value of Shares that May Yet Be Purchased Under the Plans or Programs (in thousands)
January 1, 2021 through January 31, 2021		—	$	—	—	$	240,846
February 1, 2021 through February 28, 2021		7,150	$	1,098.79	7,150	$	232,989
March 1, 2021 through March 31, 2021		12,096	$	1,125.86	12,096	$	219,371
July 1, 2021 through July 31, 2021								July 1, 2021 through July 31, 2021	11,543	$	1,212.50	11,543	$	166,948
August 1, 2021 through August 31, 2021								August 1, 2021 through August 31, 2021	15,148	$	1,256.40	15,148	$	147,916
September 1, 2021 through September 30, 2021								September 1, 2021 through September 30, 2021	22,817	$	1,231.85	22,817	$	119,808
Total	Total	19,246	$	1,115.80	19,246	$	219,371	Total	49,508	$	1,234.85	49,508	$	119,808

(1) The Board of Directors approved the repurchase of up to $300 million of our common shares pursuant to a share repurchase program publicly announced on August 21, 2019 (the Program). Under the Program, we may repurchase outstanding common shares of our stock from time to time in privately negotiated or open market transactions, including under plans complying with Rule 10b5-1 under the Exchange Act. The Program has no expiration date, but may be terminated by the Board of Directors at any time.

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Item 6. Exhibits


Exhibit No.			Document Description

3.1(a)			Amended and Restated Articles of Incorporation (incorporated by reference from Exhibit 3.1 in the Registrant's report on Form 8-K filed with the Commission May 13, 2011)

3.1(b)			Articles of Amendment to the Amended and Restated Articles of Incorporation (incorporated by reference from Exhibit 3.1 in the Registrant's report on Form 8-K filed with the Commission May 27, 2020)

3.2			Bylaws, as amended and restated May 11, 2020 (incorporated by reference from Exhibit 3.2 in the Registrant's report on Form 10-Q filed with the Commission for the quarter ended June 30, 2020)

4.1(a)			Indenture dated as of June 5, 2001, between Markel Corporation and The Chase Manhattan Bank, as Trustee (incorporated by reference from Exhibit 4.1 in the Registrant's report on Form 8-K filed with the Commission June 5, 2001)

4.1(b)			Form of Third Supplemental Indenture dated as of August 13, 2004 between Markel Corporation and JPMorgan Chase Bank (formerly known as The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission August 11, 2004)

4.1(c)			Form of Seventh Supplemental Indenture dated as of July 2, 2012 between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission June 29, 2012)

4.1(d)			Form of Eighth Supplemental Indenture dated as of March 8, 2013 between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission March 7, 2013)

4.1(e)			Form of Ninth Supplemental Indenture dated as of March 8, 2013 between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.3 in the Registrant's report on Form 8-K filed with the Commission March 7, 2013)

4.1(f)			Form of Tenth Supplemental Indenture dated as of April 5, 2016 between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission March 31, 2016)

4.1(g)			Eleventh Supplemental Indenture dated as of November 2, 2017 between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission November 2, 2017)

4.1(h)			Twelfth Supplemental Indenture dated as of November 2, 2017 between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.3 in the Registrant's report on Form 8-K filed with the Commission November 2, 2017)

4.1(i)			Thirteenth Supplemental Indenture, dated as of May 20, 2019, between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission May 20, 2019)

4.1(j)			Fourteenth Supplemental Indenture, dated as of September 17, 2019, between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission September 17, 2019)

4.1(k)			Fifteenth Supplemental Indenture, dated as of September 17, 2019, between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.3 in the Registrant's report on Form 8-K filed with the Commission September 17, 2019)

4.1(l)			Sixteenth Supplemental Indenture, dated as of May 7, 2021, between Markel Corporation and The Bank of New York Mellon (as successor to The Chase Manhattan Bank), as Trustee, including form of the securities as Exhibit A (incorporated by reference from Exhibit 4.2 in the Registrant's report on Form 8-K filed with the Commission May 7, 2021)

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The registrant hereby agrees to furnish to the Securities and Exchange Commission, upon request, a copy of all other instruments defining the rights of holders of long-term debt of the registrant and its subsidiaries.

~~10.1(a)~~			~~Form of Performance-Based Restricted Stock Unit Award Agreement~~ ~~(adopted2021)~~ for Executive Officers for the 2016 Equity Incentive Compensation Plan* **

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~~10.1(b)~~			~~Form of Time Based Restricted Stock Unit Award Agreement~~ ~~(adopted~~ ~~2021)~~ for Executive Officers for the 2016 Equity Incentive Compensation Plan* **

31.1			Certification of Co-Principal Executive Officer Pursuant to Rule 13a-14(a)/15d-14(a)**

31.2			Certification of Co-Principal Executive Officer Pursuant to Rule 13a-14(a)/15d-14(a)**

31.3			Certification of Principal Financial Officer Pursuant to Rule 13a-14(a)/15d-14(a)**

32.1			Certification furnished Pursuant to 18 U.S.C. Section 1350**

101			The following consolidated financial statements from Markel Corporation's Quarterly Report on Form 10-Q for the quarter ended ~~March 31,~~September 30, 2021, filed on ~~April 28,~~November 2, 2021, formatted in Inline XBRL: (i) Consolidated Balance Sheets, (ii) Consolidated Statements of Income ~~(Loss)~~ and Comprehensive Income (Loss), (iii) Consolidated Statements of Changes in Equity, (iv) Condensed Consolidated Statements of Cash Flows and (v) Notes to Consolidated Financial Statements.**
104			Cover Page Interactive Data File (embedded within the Inline XBRL document)

* Indicates management contract or compensatory plan or arrangement

** Filed with this ~~report.~~report

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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, this 282thnd day of ~~April~~November 2021.


			Markel Corporation

			By:			/s/ Thomas S. Gayner
						Thomas S. Gayner
						Co-Chief Executive Officer
						(Co-Principal Executive Officer)

			By:			/s/ Richard R. Whitt, III
						Richard R. Whitt, III
						Co-Chief Executive Officer
						(Co-Principal Executive Officer)

			By:			/s/ Jeremy A. Noble
						Jeremy A. Noble
						Senior Vice President and Chief Financial Officer
						(Principal Financial Officer)

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