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Fair Value Measurements (Tables)
3 Months Ended
Mar. 31, 2021
Fair Value Disclosures [Abstract]  
Schedule of Assets and Liabilities Measured at Fair Value on a Recurring Basis
Below is a summary of the assets and liabilities that are measured at fair value on a recurring basis and also represents the carrying amount on the Company’s consolidated balance sheets:
At March 31, 2021TotalQuoted
Prices in Active
Markets for
Identical 
Assets
(Level 1)
Significant
Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
Fixed maturity investments
U.S. treasuries$5,107,878 $5,107,878 $— $— 
Agencies227,184 — 227,184 — 
Non-U.S. government518,162 — 518,162 — 
Non-U.S. government-backed corporate335,662 — 335,662 — 
Corporate4,289,072 — 4,289,072 — 
Agency mortgage-backed957,563 — 957,563 — 
Non-agency mortgage-backed272,529 — 272,529 — 
Commercial mortgage-backed713,044 — 713,044 — 
Asset-backed888,140 — 888,140 — 
Total fixed maturity investments13,309,234 5,107,878 8,201,356 — 
Short term investments5,091,143 — 5,091,143 — 
Equity investments trading503,137 503,137 — — 
Other investments
Catastrophe bonds941,604 — 941,604 — 
Private equity investments75,874 — — 75,874 
1,017,478 — 941,604 75,874 
Fund investments (1)361,578 
Total other investments1,379,056 — 941,604 75,874 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts (2)
(6,421)— — (6,421)
Derivative assets (3)20,449 2,317 18,132 — 
Derivative liabilities (3)(26,464)(2,494)(23,970)— 
Total other assets and (liabilities)(12,436)(177)(5,838)(6,421)
 
$20,270,134 $5,610,838 $14,228,265 $69,453 
(1)    Fund investments, which are comprised of private equity funds, senior secured bank loan funds and hedge funds, are measured at fair value using the net asset value per share (or its equivalent) as a practical expedient and 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 sheet.
(2)    Included in assumed and ceded (re)insurance contracts at March 31, 2021 was $0.6 million of other assets and $7.0 million of other liabilities.
(3)    See “Note 13. Derivative Instruments” for additional information related to the fair value, by type of contract, of derivatives entered into by the Company.
At December 31, 2020TotalQuoted
Prices in Active
Markets for
Identical
 Assets
(Level 1)
Significant
Other
Observable
Inputs
(Level 2)
Significant
Unobservable
Inputs
(Level 3)
Fixed maturity investments
U.S. treasuries$4,960,409 $4,960,409 $— $— 
Agencies368,032 — 368,032 — 
Non-U.S. government491,531 — 491,531 — 
Non-U.S. government-backed corporate338,014 — 338,014 — 
Corporate4,261,025 — 4,261,025 — 
Agency mortgage-backed1,113,792 — 1,113,792 — 
Non-agency mortgage-backed291,444 — 291,444 — 
Commercial mortgage-backed791,272 — 791,272 — 
Asset-backed890,984 — 890,984 — 
Total fixed maturity investments13,506,503 4,960,409 8,546,094 — 
Short term investments4,993,735 — 4,993,735 — 
Equity investments trading702,617 702,617 — — 
Other investments
Catastrophe bonds881,290 — 881,290 — 
Private equity investments79,807 — — 79,807 
961,097 — 881,290 79,807 
Fund investments (1)295,851 
Total other investments1,256,948 — 881,290 79,807 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts (2)(6,211)— — (6,211)
Derivative assets (3)45,233 156 45,077 — 
Derivative liabilities (3)(22,360)(567)(21,793)— 
Total other assets and (liabilities)16,662 (411)23,284 (6,211)
 $20,476,465 $5,662,615 $14,444,403 $73,596 
(1)     Fund investments, which are comprised of private equity funds, senior secured bank loan funds and hedge funds, are measured at fair value using the net asset value per share (or its equivalent) as a practical expedient and 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 sheet.
(2)    Included in assumed and ceded (re)insurance contracts at December 31, 2020 was $1.4 million of other assets and $7.6 million of other liabilities.
(3)     See “Note 13. Derivative Instruments” for additional information related to the fair value, by type of contract, of derivatives entered into by the Company.
Schedule of Quantitative Information Used as Level 3 Inputs
Below is a summary of quantitative information regarding the significant unobservable inputs (Level 3) used in determining the fair value of assets and liabilities measured at fair value on a recurring basis:
At March 31, 2021Fair Value
(Level 3)
Valuation TechniqueUnobservable
Inputs
LowHighWeighted Average or Actual
Other investments
Private equity investment$75,874 Internal valuation modelDiscount raten/an/a9.0%
Liquidity discountn/an/a15.0 %
Total other investments75,874 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts(168)Internal valuation modelBond pricen/an/a$99.51 
Liquidity discountn/an/a1.3 %
Assumed and ceded (re)insurance contracts(6,849)Internal valuation modelNet undiscounted cash flowsn/an/a$12,895
Expected loss ration/an/a21.9 %
Discount raten/an/a0.9 %
Assumed and ceded (re)insurance contracts596 Internal valuation modelExpected loss ration/an/a0.0 %
Total other assets and (liabilities)
(6,421)
Total assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs
$69,453 
At December 31, 2020Fair Value
(Level 3)
Valuation TechniqueUnobservable InputsLowHighWeighted Average or Actual
Other investments
Private equity investment$79,807 Internal valuation modelDiscount raten/an/a9.0 %
Liquidity discountn/an/a15.0 %
Total other investments79,807 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts
(190)Internal valuation modelBond pricen/an/a$99.31 
Liquidity discountn/an/a1.3 %
Assumed and ceded (re)insurance contracts
(7,395)Internal valuation modelNet undiscounted cash flowsn/an/a$12,514 
Expected loss ration/an/a24.0 %
Discount raten/an/a0.4 %
Assumed and ceded (re)insurance contracts
1,374 Internal valuation modelExpected loss ration/an/a0.0 %
Total other assets and (liabilities)
(6,211)
Total other assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs
$73,596 
Schedule of Assets and Liabilities Measured at Fair Value on a Recurring Basis Using Level 3 Inputs
Below is a reconciliation of the beginning and ending balances, for the periods shown, of assets and liabilities measured at fair value on a recurring basis using Level 3 inputs. Interest and dividend income are included in net investment income and are excluded from the reconciliation.
  
Other
investments
Other assets
and
(liabilities)
Total
Balance - January 1, 2021$79,807 $(6,211)$73,596 
Total realized and unrealized losses
Included in net realized and unrealized losses on investments
(3,936)— (3,936)
Included in other income (loss)— 96 96 
Total foreign exchange gains— 
Purchases— (306)(306)
Sales— — — 
Balance - March 31, 2021$75,874 $(6,421)$69,453 
  
Other
investments
Other assets  and (liabilities)Total
Balance - January 1, 2020$74,634 $4,731 $79,365 
Total realized and unrealized losses
Included in net realized and unrealized gains on investments
(14,156)— (14,156)
Included in other income (loss)— (2,897)(2,897)
Total foreign exchange losses(21)— (21)
Purchases20,962 (611)20,351 
Sales(8,799)— (8,799)
Balance - March 31, 2020$72,620 $1,223 $73,843 
Schedule of Assets and Liabilities Measured at Fair Value on a Recurring Basis Using Level 3 Inputs
Below is a reconciliation of the beginning and ending balances, for the periods shown, of assets and liabilities measured at fair value on a recurring basis using Level 3 inputs. Interest and dividend income are included in net investment income and are excluded from the reconciliation.
  
Other
investments
Other assets
and
(liabilities)
Total
Balance - January 1, 2021$79,807 $(6,211)$73,596 
Total realized and unrealized losses
Included in net realized and unrealized losses on investments
(3,936)— (3,936)
Included in other income (loss)— 96 96 
Total foreign exchange gains— 
Purchases— (306)(306)
Sales— — — 
Balance - March 31, 2021$75,874 $(6,421)$69,453 
  
Other
investments
Other assets  and (liabilities)Total
Balance - January 1, 2020$74,634 $4,731 $79,365 
Total realized and unrealized losses
Included in net realized and unrealized gains on investments
(14,156)— (14,156)
Included in other income (loss)— (2,897)(2,897)
Total foreign exchange losses(21)— (21)
Purchases20,962 (611)20,351 
Sales(8,799)— (8,799)
Balance - March 31, 2020$72,620 $1,223 $73,843 
Schedule of Balances Elected to Account for at Fair Value Below is a summary of the balances the Company has elected to account for at fair value:
March 31,
2021
December 31,
2020
Other investments$1,379,056 $1,256,948 
Other assets$6,437 $8,982 
Other liabilities$12,858 $15,193 
Schedule of Other Investments Measured Using Net Asset Valuations
The table below shows the Company’s portfolio of other investments measured using net asset valuations as a practical expedient:
At March 31, 2021Fair ValueUnfunded
Commitments
Redemption FrequencyRedemption
Notice Period (Minimum Days)
Redemption
Notice Period (Maximum Days)
Private equity funds$333,910 $1,031,629 See belowSee belowSee below
Senior secured bank loan funds
16,886 7,920 See belowSee belowSee below
Hedge funds
10,782 — See belowSee belowSee below
Total other investments measured using net asset valuations
$361,578 $1,039,549