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Fair Value (Tables)
 9 Months Ended
Sep. 30, 2022
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 September 30, 2022:
  Estimated Fair Value Measurements Using:
 Estimated
Fair
Value		Quoted Prices in
Active Markets
for Identical
Assets
(Level 1)		Significant
Other
Observable
Inputs
(Level 2)		Significant
Unobservable
Inputs
(Level 3)
Assets measured at fair value:    
Available for sale securities:    
Fixed maturities:    
Corporate bonds$7,096,269 $— $7,096,256 $13 
Residential mortgage backed securities763,371 — 763,371 — 
Municipal bonds407,724 — 407,724 — 
Commercial mortgage backed securities1,064,238 — 1,064,238 — 
U.S. government and government agencies5,126,407 5,100,908 25,499 — 
Non-U.S. government securities2,073,170 — 2,073,170 — 
Asset backed securities1,589,548 — 1,589,548 — 
Total18,120,727 5,100,908 13,019,806 13 
Short-term investments1,940,857 1,873,480 67,377 — 
Equity securities, at fair value809,869 775,264 31,566 3,039 
Derivative instruments (2)176,160 — 176,160 — 
Residential mortgage loans2,255 — 2,255 — 
Fair value option:
Corporate bonds524,177 — 524,177 — 
Non-U.S. government bonds4,032 — 4,032 — 
Asset backed securities2,094 — 2,094 — 
Short-term investments28,614 405 28,209 — 
Equity securities13,905 9,312 1 4,592 
Other investments175,259 — 141,021 34,238 
Other investments measured at net asset value (1)830,670 
Total1,578,751 9,717 699,534 38,830 
Total assets measured at fair value$22,628,619 $7,759,369 $13,996,698 $41,882 
Liabilities measured at fair value:    
Other liabilities$(13,421)$— $— $(13,421)
Derivative instruments (2)(112,577)— (112,577)— 
Total liabilities measured at fair value$(125,998)$— $(112,577)$(13,421)

(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(2)    See note 9.
The following table presents the Company’s financial assets and liabilities measured at fair value by level at December 31, 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:
Available for sale securities:
Fixed maturities:
Corporate bonds$6,553,333 $— $6,553,320 $13 
Residential mortgage backed securities408,477 — 408,477 — 
Municipal bonds404,666 — 404,666 — 
Commercial mortgage backed securities1,046,484 — 1,046,484 — 
U.S. government and government agencies4,772,764 4,744,517 28,247 — 
Non-U.S. government securities2,120,294 — 2,120,294 — 
Asset backed securities2,692,091 — 2,688,744 3,347 
Total17,998,109 4,744,517 13,250,232 3,360 
Short-term investments1,734,716 1,052,822 681,894 — 
Equity securities, at fair value1,804,170 1,762,864 38,388 2,918 
Derivative instruments (2)127,121 — 127,121 — 
Residential mortgage loans49,847 — 49,847 — 
Fair value option:
Corporate bonds388,546 — 388,546 — 
Non-U.S. government bonds23,785 — 23,785 — 
Asset backed securities4,367 — 4,367 — 
Short-term investments97,806 528 97,278 — 
Equity securities26,493 21,745 — 4,748 
Other investments310,798 20,352 262,465 27,981 
Other investments measured at net asset value (1)1,121,755 
Total1,973,550 42,625 776,441 32,729 
Total assets measured at fair value$23,687,513 $7,602,828 $14,923,923 $39,007 
Liabilities measured at fair value:
Other liabilities$(16,960)$— $— $(16,960)
Derivative instruments (2)(54,224)— (54,224)— 
Total liabilities measured at fair value$(71,184)$— $(54,224)$(16,960)

(1)    In accordance with applicable accounting guidance, certain investments that are measured at fair value using the net asset value per share (or its equivalent) practical expedient have not been classified in the fair value hierarchy. The fair value amounts presented in this table are intended to permit reconciliation of the fair value hierarchy to the amounts presented in the consolidated balance sheets.
(2)    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		Other Liabilities
Three Months Ended September 30, 2022  
Balance at beginning of period$2,867 $3,570 $— $33,331 $4,392 $2,906 $(16,205)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(601)52 — 116 200 133 (89)
Included in other comprehensive income144 (59)— — — — 965 
Purchases, issuances, sales and settlements
Purchases— — — 1,458 — — — 
Issuances— — — — — — — 
Sales(2,051)(3,550)— (667)— — — 
Settlements(359)— — — — — 1,908 
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$— $13 $— $34,238 $4,592 $3,039 $(13,421)
Three Months Ended September 30, 2021  
Balance at beginning of period$3,424 $13 $998 $73,900 $73,678 $49,136 $(466)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)10 — — — 38 11 — 
Included in other comprehensive income10 — — — — — — 
Purchases, issuances, sales and settlements
Purchases— — — — — 208 (17,345)
Issuances— — — — — — — 
Sales (3)— — (998)(44,143)(69,181)(46,773)— 
Settlements— — — — — — — 
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$3,444 $13 $— $29,757 $4,535 $2,582 $(17,811)
Nine Months Ended September 30, 2022  
Balance at beginning of year$3,347 $13 $— $27,981 $4,748 $2,918 $(16,960)
Total gains or (losses) (realized/unrealized)
Included in earnings (2)(592)52 — 150 (156)(103)(284)
Included in other comprehensive income(1)(59)— — — — 1,915 
Purchases, issuances, sales and settlements
Purchases— — — 12,228 — 227 — 
Issuances— — — — — — — 
Sales (2,051)(3,550)— (3,138)— (3)— 
Settlements(703)— — (2,983)— — 1,908 
Transfers in and/or out of Level 3— 3,557 — — — — — 
Balance at end of period$— $13 $— $34,238 $4,592 $3,039 $(13,421)
Nine Months Ended September 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)(46)— 13 881 4,728 1,837 — 
Included in other comprehensive income67 — — — — — — 
Purchases, issuances, sales and settlements
Purchases— — — 13,003 — 5,503 (17,345)
Issuances— — — — — — — 
Sales (3)— — (998)(51,230)(69,181)(46,773)— 
Settlements(3)— — — — — (5)
Transfers in and/or out of Level 3— — — — — — — 
Balance at end of period$3,444 $13 $— $29,757 $4,535 $2,582 $(17,811)
(1)    Includes asset backed securities, residential mortgage backed securities and commercial mortgage backed securities.
(2)    Gains or losses were included in net realized gains (losses).
(3)    Sales for the 2021 periods primarily related to the Company’s deconsolidation of Somers..