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Fair Value Measurements (Tables)
12 Months Ended
Dec. 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 December 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$6,247,779 $6,247,779 $— $— 
Agencies361,684 — 361,684 — 
Non-U.S. government549,613 — 549,613 — 
Non-U.S. government-backed corporate474,848 — 474,848 — 
Corporate3,214,438 — 3,214,438 — 
Agency mortgage-backed721,955 — 721,955 — 
Non-agency mortgage-backed233,346 — 233,346 — 
Commercial mortgage-backed634,925 — 634,925 — 
Asset-backed1,068,543 — 1,068,543 — 
Total fixed maturity investments13,507,131 6,247,779 7,259,352 — 
Short term investments5,298,385 — 5,298,385 — 
Equity investments trading546,016 546,016 — — 
Other investments
Catastrophe bonds1,104,034 — 1,104,034 — 
Direct private equity investments 88,373 — — 88,373 
Term loans74,850 74,850 
1,267,257 — 1,104,034 163,223 
Fund investments (1)
725,802 
Total other investments1,993,059 — 1,104,034 163,223 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts (2)
(4,727)— — (4,727)
Derivative assets (3)
17,889 1,067 16,822 — 
Derivatives liabilities (3)
(16,954)(1,598)(15,356)— 
Total other assets and (liabilities)(3,792)(531)1,466 (4,727)
 
$21,340,799 $6,793,264 $13,663,237 $158,496 
(1)     Fund investments, which are comprised of private equity funds, private credit 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, 2021 was $6.1 million of other assets and $10.8 million of other liabilities.
(3)    Refer to “Note 19. 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 — 
Direct private equity investments (1)
79,807 — — 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 assets45,233 156 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, private credit 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)     Refer to “Note 19. 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 December 31, 2021Fair Value
(Level 3)
Valuation TechniqueUnobservable InputsLowHighWeighted Average or Actual

Other investments
Direct private equity investments$88,373 Internal valuation modelDiscount raten/an/a7.5 %
Liquidity discountn/an/a15.0 %
Term loans74,850 Yield analysisTransaction yieldn/an/a2.78 %
Total other investments163,223 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts
(4,727)Internal valuation modelNet undiscounted cash flowsn/an/a$14,920 
Expected loss ration/an/a14.7 %
Discount raten/an/a1.3 %
Total other assets and (liabilities)
(4,727)
Total other assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs
$158,496 
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 an 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
Direct private equity investmentsTerm loans
Balance - January 1, 2021$79,807 $— $(6,211)$73,596 
Total realized and unrealized gains (losses)
Included in net realized and unrealized gains (losses) on investments(159)— — (159)
Included in other income— — 2,624 2,624 
Total foreign exchange gains(3)— — (3)
Purchases9,676 74,850 (1,140)83,386 
Sales(948)— — (948)
Settlements— — — — 
Balance - December 31, 2021$88,373 $74,850 $(4,727)$158,496 
  
Other
Investments
Other Assets
and
(Liabilities)
Total
Direct private equity investmentsTerm loans
Balance - January 1, 2020$74,634 $— $4,731 $79,365 
Total realized and unrealized gains (losses)
Included in net realized and unrealized gains (losses) on investments(5,662)— — (5,662)
Included in other income— — (3,191)(3,191)
Total foreign exchange gains10 — — 10 
Purchases20,962 — (2,012)18,950 
Sales(10,137)— — (10,137)
Settlements— — (5,739)(5,739)
Balance - December 31, 2020$79,807 $— $(6,211)$73,596 
Schedule of Assets and Liabilities Measured at Fair Value an 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
Direct private equity investmentsTerm loans
Balance - January 1, 2021$79,807 $— $(6,211)$73,596 
Total realized and unrealized gains (losses)
Included in net realized and unrealized gains (losses) on investments(159)— — (159)
Included in other income— — 2,624 2,624 
Total foreign exchange gains(3)— — (3)
Purchases9,676 74,850 (1,140)83,386 
Sales(948)— — (948)
Settlements— — — — 
Balance - December 31, 2021$88,373 $74,850 $(4,727)$158,496 
  
Other
Investments
Other Assets
and
(Liabilities)
Total
Direct private equity investmentsTerm loans
Balance - January 1, 2020$74,634 $— $4,731 $79,365 
Total realized and unrealized gains (losses)
Included in net realized and unrealized gains (losses) on investments(5,662)— — (5,662)
Included in other income— — (3,191)(3,191)
Total foreign exchange gains10 — — 10 
Purchases20,962 — (2,012)18,950 
Sales(10,137)— — (10,137)
Settlements— — (5,739)(5,739)
Balance - December 31, 2020$79,807 $— $(6,211)$73,596 
Schedule of the Balances the Company has Elected to Account for at Fair Value Below is a summary of the balances the Company has elected to account for at fair value:
At December 31,20212020
Other investments$1,993,059 $1,256,948 
Other assets$6,100 $8,982 
Other liabilities$10,827 $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 December 31, 2021Fair ValueUnfunded
Commitments
Redemption FrequencyRedemption
Notice Period (Minimum Days)
Redemption
Notice Period (Maximum Days)
Private equity funds$241,297 $458,566 See belowSee belowSee below
Private credit funds473,112 868,571 See belowSee belowSee below
Hedge funds
11,394 — See belowSee belowSee below
Total other investments measured using net asset valuations
$725,803 $1,327,137 
At December 31, 2020Fair ValueUnfunded
Commitments
Redemption FrequencyRedemption
Notice Period (Minimum Days)
Redemption
Notice Period (Maximum Days)
Private equity funds$140,743 $286,893 See belowSee belowSee below
Private credit funds144,556 692,425 See belowSee belowSee below
Hedge funds
10,553 — See belowSee belowSee below
Total other investments measured using net asset valuations
$295,852 $979,318 
Schedule of Variable Interest Entities
The following table summarizes the aggregate carrying amount of the unconsolidated fund investments in VIEs, as well as our maximum exposure to loss associated with these VIEs:
Maximum Exposure to Loss
At December 31, 2021Carrying amountUnfunded CommitmentsTotal
Other investments$539,866 $1,282,451 $1,822,317 
At December 31, 2020
Other investments$240,058 $659,119 $899,177