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Fair Value Measurements (Tables)
9 Months Ended
Sep. 30, 2020
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 September 30, 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$4,350,971 $4,350,971 $— $— 
Agencies437,681 — 437,681 — 
Non-U.S. government568,960 — 568,960 — 
Non-U.S. government-backed corporate401,449 — 401,449 — 
Corporate4,655,765 — 4,655,765 — 
Agency mortgage-backed1,086,474 — 1,086,474 — 
Non-agency mortgage-backed293,953 — 293,953 — 
Commercial mortgage-backed788,995 — 788,995 — 
Asset-backed807,070 — 807,070 — 
Total fixed maturity investments13,391,318 4,350,971 9,040,347 — 
Short term investments5,158,961 — 5,158,961 — 
Equity investments trading547,381 547,381 — — 
Other investments
Catastrophe bonds816,971 — 816,971 — 
Private equity investments (1)274,810 — — 74,959 
Senior secured bank loan funds (1)20,933 — — — 
Hedge funds (1)9,969 — — — 
Total other investments1,122,683 — 816,971 74,959 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts (2)
(6,608)— — (6,608)
Derivatives (3)(1,473)1,232 (2,705)— 
Total other assets and (liabilities)(8,081)1,232 (2,705)(6,608)
 
$20,212,262 $4,899,584 $15,013,574 $68,351 
(1)    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 sheet.
(2)    Included in assumed and ceded (re)insurance contracts at September 30, 2020 was $2.2 million of other assets and $8.8 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, 2019TotalQuoted
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$4,467,345 $4,467,345 $— $— 
Agencies343,031 — 343,031 — 
Non-U.S. government497,392 — 497,392 — 
Non-U.S. government-backed corporate321,356 — 321,356 — 
Corporate3,075,660 — 3,075,660 — 
Agency mortgage-backed1,148,499 — 1,148,499 — 
Non-agency mortgage-backed294,604 — 294,604 — 
Commercial mortgage-backed468,698 — 468,698 — 
Asset-backed555,070 — 555,070 — 
Total fixed maturity investments11,171,655 4,467,345 6,704,310 — 
Short term investments4,566,277 — 4,566,277 — 
Equity investments trading436,931 436,931 — — 
Other investments
Catastrophe bonds781,641 — 781,641 — 
Private equity investments (1)271,047 — — 74,634 
Senior secured bank loan funds (1)22,598 — — — 
Hedge funds (1)12,091 — — — 
Total other investments1,087,377 — 781,641 74,634 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts (2)4,731 — — 4,731 
Derivatives (3)16,937 (1,020)17,957 — 
Total other assets and (liabilities)21,668 (1,020)17,957 4,731 
 $17,283,908 $4,903,256 $12,070,185 $79,365 
(1)     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 sheet.
(2)    Included in assumed and ceded (re)insurance contracts at December 31, 2019 was $32.9 million of other assets and $28.2 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 September 30, 2020Fair Value
(Level 3)
Valuation TechniqueUnobservable
Inputs
LowHighWeighted Average or Actual
Other investments
Private equity investment
$74,959 Internal valuation modelDiscount raten/an/a8.0%
Liquidity discountn/an/a15.0 %
Total other investments
74,959 
Other assets and (liabilities)
Assumed and ceded (re)insurance contracts
(934)Internal valuation modelBond pricen/an/a$92.24 
Liquidity discountn/an/a1.3 %
Assumed and ceded (re)insurance contracts
(7,842)Internal valuation modelNet undiscounted cash flowsn/an/a$12,133
Expected loss ration/an/a26.2 %
Discount raten/an/a0.3 %
Assumed and ceded (re)insurance contracts
2,168 Internal valuation modelExpected loss ration/an/a0.0 %
Total other assets and (liabilities)
(6,608)
Total assets and (liabilities) measured at fair value on a recurring basis using Level 3 inputs
$68,351 
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 - July 1, 2020$71,450 $(6,711)$64,739 
Total realized and unrealized losses
Included in net realized and unrealized gains on investments
4,044 — 4,044 
Included in other income (loss)— 575 575 
Total foreign exchange losses13 — 13 
Purchases— (472)(472)
Sales(548)— (548)
Balance - September 30, 2020$74,959 $(6,608)$68,351 
  
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
(10,492)— (10,492)
Included in other income (loss)— (4,035)(4,035)
Total foreign exchange losses(8)— (8)
Purchases20,962 (1,565)19,397 
Sales(10,137)— (10,137)
Settlements— (5,739)(5,739)
Balance - September 30, 2020$74,959 $(6,608)$68,351 
  
Other
investments
Other assets  and (liabilities)Total
Balance - July 1, 2019$74,810 $7,942 $82,752 
Total realized and unrealized losses
Included in net realized and unrealized gains on investments
(592)— (592)
Included in other income (loss)— (1,188)(1,188)
Total foreign exchange losses(8)— (8)
Purchases— (535)(535)
Balance - September 30, 2019$74,210 $6,219 $80,429 
  
Other
investments
Other assets  and (liabilities)Total
Balance - January 1, 2019$54,545 $(8,359)$46,186 
Total realized and unrealized gains (losses)
Included in net realized and unrealized gains on investments
1,790 1,790 
Included in other income (loss)(1,030)(1,030)
Total foreign exchange losses(16)— (16)
Purchases17,891 (4,382)13,509 
Settlements— 20 20 
Amounts acquired (1)
— 19,970 19,970 
Balance - September 30, 2019$74,210 $6,219 $80,429 
(1)    Represents the fair value of the other assets acquired from TMR, measured at fair value on a recurring basis using Level 3 inputs at March 22, 2019. See “Note 3. Acquisition of Tokio Millennium Re” in the Company’s “Notes to the Consolidated Financial Statements” included in the Company’s Form 10-K for the year ended December 31, 2019 for additional information related to the acquisition of TMR.
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 - July 1, 2020$71,450 $(6,711)$64,739 
Total realized and unrealized losses
Included in net realized and unrealized gains on investments
4,044 — 4,044 
Included in other income (loss)— 575 575 
Total foreign exchange losses13 — 13 
Purchases— (472)(472)
Sales(548)— (548)
Balance - September 30, 2020$74,959 $(6,608)$68,351 
  
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
(10,492)— (10,492)
Included in other income (loss)— (4,035)(4,035)
Total foreign exchange losses(8)— (8)
Purchases20,962 (1,565)19,397 
Sales(10,137)— (10,137)
Settlements— (5,739)(5,739)
Balance - September 30, 2020$74,959 $(6,608)$68,351 
  
Other
investments
Other assets  and (liabilities)Total
Balance - July 1, 2019$74,810 $7,942 $82,752 
Total realized and unrealized losses
Included in net realized and unrealized gains on investments
(592)— (592)
Included in other income (loss)— (1,188)(1,188)
Total foreign exchange losses(8)— (8)
Purchases— (535)(535)
Balance - September 30, 2019$74,210 $6,219 $80,429 
  
Other
investments
Other assets  and (liabilities)Total
Balance - January 1, 2019$54,545 $(8,359)$46,186 
Total realized and unrealized gains (losses)
Included in net realized and unrealized gains on investments
1,790 1,790 
Included in other income (loss)(1,030)(1,030)
Total foreign exchange losses(16)— (16)
Purchases17,891 (4,382)13,509 
Settlements— 20 20 
Amounts acquired (1)
— 19,970 19,970 
Balance - September 30, 2019$74,210 $6,219 $80,429 
(1)    Represents the fair value of the other assets acquired from TMR, measured at fair value on a recurring basis using Level 3 inputs at March 22, 2019. See “Note 3. Acquisition of Tokio Millennium Re” in the Company’s “Notes to the Consolidated Financial Statements” included in the Company’s Form 10-K for the year ended December 31, 2019 for additional information related to the acquisition of TMR.
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:
September 30,
2020
December 31,
2019
Other investments$1,122,683 $1,087,377 
Other assets$11,508 $32,944 
Other liabilities$18,116 $28,213 
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 September 30, 2020Fair ValueUnfunded
Commitments
Redemption FrequencyRedemption
Notice Period (Minimum Days)
Redemption
Notice Period (Maximum Days)
Private equity investments
$199,851 $686,588 See belowSee belowSee below
Senior secured bank loan funds
20,933 8,185 See belowSee belowSee below
Hedge funds
9,969 — See belowSee belowSee below
Total other investments measured using net asset valuations
$230,753 $694,773