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Fair Value (Tables)
6 Months Ended
Jun. 30, 2021
Fair Value Disclosures [Abstract]  
Fair value hierarchy
The following table presents the Company’s financial assets and liabilities measured at fair value by level at June 30, 2021:
  Estimated Fair Value Measurements Using:
 Estimated
Fair
Value
Quoted Prices in
Active Markets
for Identical
Assets
(Level 1)
Significant
Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
Assets measured at fair value (1):    
Available for sale securities:    
Fixed maturities:    
Corporate bonds$7,129,768 $— $7,129,755 $13 
Mortgage backed securities389,041 — 389,041 — 
Municipal bonds415,483 — 415,483 — 
Commercial mortgage backed securities266,733 — 266,733 — 
U.S. government and government agencies5,091,183 5,062,571 28,612 — 
Non-U.S. government securities2,449,782 — 2,449,782 — 
Asset backed securities2,487,845 — 2,484,421 3,424 
Total18,229,835 5,062,571 13,163,827 3,437 
Short-term investments2,248,613 1,996,304 252,309 — 
Equity securities, at fair value1,706,044 1,631,937 24,971 49,136 
Derivative instruments (4)98,488 — 98,488 — 
Residential mortgage loans44,925 — 44,925 — 
Fair value option:
Corporate bonds790,186 — 789,188 998 
Non-U.S. government bonds22,552 — 22,552 — 
Mortgage backed securities2,707 — 2,707 — 
Commercial mortgage backed securities841 — 841 — 
Asset backed securities179,423 — 179,423 — 
U.S. government and government agencies271 163 108 — 
Short-term investments610,114 482,815 127,299 — 
Equity securities94,930 21,252 — 73,678 
Other investments1,219,294 23,610 1,121,784 73,900 
Other investments measured at net asset value (2)1,151,178 
Total4,071,496 527,840 2,243,902 148,576 
Total assets measured at fair value$26,399,401 $9,218,652 $15,828,422 $201,149 
Liabilities measured at fair value:    
Contingent consideration liabilities$(466)$— $— $(466)
Securities sold but not yet purchased (3)(28,068)— (28,068)— 
Derivative instruments (4)(67,304)— (67,304)— 
Total liabilities measured at fair value$(95,838)$— $(95,372)$(466)

(1)    In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See note 7, “—Securities Lending Agreements.”
(2)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)    Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)    See note 9.
The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 2020:
  Estimated Fair Value Measurements Using:
 Estimated
Fair
Value
Quoted Prices in
Active Markets
for Identical
Assets
(Level 1)
Significant
Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
Assets measured at fair value (1):
Available for sale securities:
Fixed maturities:
Corporate bonds$7,856,571 $— $7,856,558 $13 
Mortgage backed securities630,001 — 630,001 — 
Municipal bonds494,522 — 494,522 — 
Commercial mortgage backed securities389,900 — 389,900 — 
U.S. government and government agencies5,557,077 5,463,356 93,721 — 
Non-U.S. government securities2,433,733 — 2,433,733 — 
Asset backed securities1,634,804 — 1,631,378 3,426 
Total18,996,608 5,463,356 13,529,813 3,439 
Short-term investments1,924,922 1,920,565 4,357 — 
Equity securities, at fair value1,460,959 1,401,653 17,291 42,015 
Derivative instruments (4)177,383 — 177,383 — 
Fair value option:
Corporate bonds651,294 — 650,309 985 
Non-U.S. government bonds35,263 — 35,263 — 
Mortgage backed securities3,282 — 3,282 — 
Commercial mortgage backed securities1,090 — 1,090 — 
Asset backed securities152,151 — 152,151 — 
U.S. government and government agencies274 164 110 — 
Short-term investments557,008 420,131 136,877 — 
Equity securities92,549 23,373 188 68,988 
Other investments1,134,229 51,149 1,015,977 67,103 
Other investments measured at net asset value (2)1,197,656 
Total3,824,796 494,817 1,995,247 137,076 
Total assets measured at fair value$26,384,668 $9,280,391 $15,724,091 $182,530 
Liabilities measured at fair value:
Contingent consideration liabilities$(461)$— $— $(461)
Securities sold but not yet purchased (3)(21,679)— (21,679)— 
Derivative instruments (4)(108,705)— (108,705)— 
Total liabilities measured at fair value$(130,845)$— $(130,384)$(461)

(1)    In securities lending transactions, the Company receives collateral in excess of the fair value of the securities pledged. For purposes of this table, the Company has excluded the collateral received under securities lending, at fair value and included the securities pledged under securities lending, at fair value. See note 7, “—Securities Lending Agreements.”
(2)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(3)    Represents the Company’s obligations to deliver securities that it did not own at the time of sale. Such amounts are included in “other liabilities” on the Company’s consolidated balance sheets.
(4)    See note 9.
Rollforward of Level 3 investments
The following table presents a reconciliation of the beginning and ending balances for all financial assets and liabilities measured at fair value on a recurring basis using Level 3 inputs:
AssetsLiabilities
sAvailable For SaleFair Value OptionFair Value
 Structured Securities (1)Corporate
Bonds
Corporate
Bonds
Other
Investments
Equity
Securities
Equity
Securities
Contingent Consideration Liabilities
Three Months Ended June 30, 2021  
Balance at beginning of period$3,472 $13 $989 $67,930 $71,176 $43,112 $(465)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)12 — 633 2,502 922 — 
Included in other comprehensive income(57)— — — — — — 
Purchases, issuances, sales and settlements
Purchases— — — 5,638 — 5,102 — 
Issuances— — — — — — — 
Sales— — — (301)— — — 
Settlements(3)— — — — — (1)
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$3,424 $13 $998 $73,900 $73,678 $49,136 $(466)
Three Months Ended June 30, 2020  
Balance at beginning of period$3,846 $1,980 $965 $54,620 $60,015 $55,632 $(7,967)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(64)— — (987)1,432 11,799 (18)
Included in other comprehensive income(287)(1,123)— — — — — 
Purchases, issuances, sales and settlements
Purchases— — 33 — — — 
Issuances— — — — — — — 
Sales— — — (7,183)— (15,450)— 
Settlements(45)— — — — — 6,735 
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$3,450 $857 $998 $46,453 $61,447 $51,981 $(1,250)
Six Months Ended June 30, 2021  
Balance at beginning of year$3,426 $13 $985 $67,103 $68,988 $42,015 $(461)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(56)— 13 881 4,690 1,826 — 
Included in other comprehensive income57 — — — — — — 
Purchases, issuances, sales and settlements
Purchases— — — 13,003 — 5,295 — 
Issuances— — — — — — — 
Sales— — — (7,087)— — — 
Settlements(3)— — — — — (5)
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$3,424 $13 $998 $73,900 $73,678 $49,136 $(466)
Six Months Ended June 30, 2020  
Balance at beginning of year$5,216 $8,851 $932 $68,817 $58,094 $55,889 $(7,998)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(55)— (1,014)3,353 8,078 (72)
Included in other comprehensive income(309)(6,539)— — — — — 
Purchases, issuances, sales and settlements
Purchases— — 66 24 — 3,464 — 
Issuances— — — — — — — 
Sales— — — (24,358)— (15,450)— 
Settlements(1,402)(1,462)— — — — 6,820 
Transfers in and/or out of Level 3— — — 2,984 — — — 
Balance at end of period$3,450 $857 $998 $46,453 $61,447 $51,981 $(1,250)
(1)    Includes asset backed securities, mortgage backed securities and commercial mortgage backed securities.
(2)    Gains or losses were included in net realized gains (losses).