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Fair Value Measurements (Tables) | 9 Months Ended
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Sep. 30, 2018
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, 2018 | Total |  | Quoted 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 | $ | 3,117,911 |  |  | $ | 3,117,911 |  |  | $ | — |  |  | $ | — |  |
| Agencies | 143,980 |  |  | — |  |  | 143,980 |  |  | — |  |
| Municipal | 7,061 |  |  | — |  |  | 7,061 |  |  | — |  |
| Non-U.S. government (Sovereign debt) | 254,169 |  |  | — |  |  | 254,169 |  |  | — |  |
| Non-U.S. government-backed corporate | 137,512 |  |  | — |  |  | 137,512 |  |  | — |  |
| Corporate | 2,448,795 |  |  | — |  |  | 2,448,795 |  |  | — |  |
| Agency mortgage-backed | 836,376 |  |  | — |  |  | 836,376 |  |  | — |  |
| Non-agency mortgage-backed | 289,649 |  |  | — |  |  | 289,649 |  |  | — |  |
| Commercial mortgage-backed | 257,434 |  |  | — |  |  | 257,434 |  |  | — |  |
| Asset-backed | 321,892 |  |  | — |  |  | 321,892 |  |  | — |  |
| Total fixed maturity investments | 7,814,779 |  |  | 3,117,911 |  |  | 4,696,868 |  |  | — |  |
| Short term investments | 2,461,415 |  |  | — |  |  | 2,461,415 |  |  | — |  |
| Equity investments trading | 413,271 |  |  | 413,271 |  |  | — |  |  | — |  |
| Other investments |  |  |  |  |  |  |  |
| Catastrophe bonds | 525,126 |  |  | — |  |  | 525,126 |  |  | — |  |
| Private equity partnerships (1) | 185,121 |  |  | — |  |  | — |  |  | — |  |
| Senior secured bank loan funds (1) | 17,057 |  |  | — |  |  | — |  |  | — |  |
| Hedge funds (1) | 11,615 |  |  | — |  |  | — |  |  | — |  |
| Total other investments | 738,919 |  |  | — |  |  | 525,126 |  |  | — |  |
| Other assets and (liabilities) |  |  |  |  |  |  |  |
| Assumed and ceded (re)insurance contracts (2) | (8,949 | ) |  | — |  |  | — |  |  | (8,949 | ) |
| Derivatives (3) | 1,594 |  |  | 249 |  |  | 1,345 |  |  | — |  |
| Total other assets and (liabilities) | (7,355 | ) |  | 249 |  |  | 1,345 |  |  | (8,949 | ) |
|  | $ | 11,421,029 |  |  | $ | 3,531,431 |  |  | $ | 7,684,754 |  |  | $ | (8,949 | ) |
(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, 2018 was $5.3 million and $14.2 million of other assets and other liabilities, respectively.
(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, 2017 | Total |  | Quoted 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 | $ | 3,168,763 |  |  | $ | 3,168,763 |  |  | $ | — |  |  | $ | — |  |
| Agencies | 47,646 |  |  | — |  |  | 47,646 |  |  | — |  |
| Municipal | 509,802 |  |  | — |  |  | 509,802 |  |  | — |  |
| Non-U.S. government (Sovereign debt) | 287,660 |  |  | — |  |  | 287,660 |  |  | — |  |
| Non-U.S. government-backed corporate | 163,651 |  |  | — |  |  | 163,651 |  |  | — |  |
| Corporate | 2,063,459 |  |  | — |  |  | 2,063,459 |  |  | — |  |
| Agency mortgage-backed | 500,456 |  |  | — |  |  | 500,456 |  |  | — |  |
| Non-agency mortgage-backed | 300,331 |  |  | — |  |  | 300,331 |  |  | — |  |
| Commercial mortgage-backed | 202,062 |  |  | — |  |  | 202,062 |  |  | — |  |
| Asset-backed | 182,725 |  |  | — |  |  | 182,725 |  |  | — |  |
| Total fixed maturity investments | 7,426,555 |  |  | 3,168,763 |  |  | 4,257,792 |  |  | — |  |
| Short term investments | 991,863 |  |  | — |  |  | 991,863 |  |  | — |  |
| Equity investments trading | 388,254 |  |  | 388,254 |  |  | — |  |  | — |  |
| Other investments |  |  |  |  |  |  |  |
| Catastrophe bonds | 380,475 |  |  | — |  |  | 380,475 |  |  | — |  |
| Private equity partnerships (1) | 196,220 |  |  | — |  |  | — |  |  | — |  |
| Senior secured bank loan funds (1) | 17,574 |  |  | — |  |  | — |  |  | — |  |
| Hedge funds (1) | 524 |  |  | — |  |  | — |  |  | — |  |
| Total other investments | 594,793 |  |  | — |  |  | 380,475 |  |  | — |  |
| Other assets and (liabilities) |  |  |  |  |  |  |  |
| Assumed and ceded (re)insurance contracts (2) | (2,952 | ) |  | — |  |  | — |  |  | (2,952 | ) |
| Derivatives (3) | 4,636 |  |  | (45 | ) |  | 4,681 |  |  | — |  |
| Total other assets and (liabilities) | 1,684 |  |  | (45 | ) |  | 4,681 |  |  | (2,952 | ) |
|  | $ | 9,403,149 |  |  | $ | 3,556,972 |  |  | $ | 5,634,811 |  |  | $ | (2,952 | ) |
(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, 2017 was $2.5 million and $5.5 million of other assets and other liabilities, respectively.
(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 observable and 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, 2018 | Fair Value (Level 3) |  | Valuation Technique |  | Unobservable (U) and Observable (O) Inputs |  | Low |  | High |  | Weighted Average or Actual |
| Other assets and (liabilities) |  |  |  |  |  |  |  |  |  |  |  |
| Assumed and ceded (re)insurance contracts | $ | 994 |  |  | Internal valuation model |  | Bond price (O) |  | $ | 101.31 |  |  | $ | 111.12 |  |  | $ | 106.80 |  |
|  |  |  |  |  | Liquidity discount (U) |  | n/a |  |  | n/a |  |  | 1.3 | % |
| Assumed and ceded (re)insurance contracts | (9,943 | ) |  | Internal valuation model |  | Net undiscounted cash flows (U) |  | n/a |  |  | n/a |  |  | $ | 10,180 |  |
|  |  |  |  |  | Expected loss ratio (U) |  | n/a |  |  | n/a |  |  | 38.2 | % |
|  |  |  |  |  | Net acquisition expense ratio (O) |  | n/a |  |  | n/a |  |  | 4.9 | % |
|  |  |  |  |  | Contract period (O) |  | 2.0 years |  |  | 5.0 years |  |  | 4.7 years |  |
|  |  |  |  |  | Discount rate (U) |  | n/a |  |  | n/a |  |  | 3.0 | % |
| Total other assets and (liabilities) | $ | (8,949 | ) |  |  |  |  |  |  |  |  |  |  |
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 assets and (liabilities) |
| Balance - January 1, 2018 | $ | (2,952 | ) |
| Total realized and unrealized gains |  |
| Included in other income | 2,399 |  |
| Purchases | (9,379 | ) |
| Settlements | 983 |  |
| Balance - September 30, 2018 | $ | (8,949 | ) |
|  | Other assets and (liabilities) |
| Balance - January 1, 2017 | $ | (13,004 | ) |
| Total realized and unrealized gains |  |
| Included in other income | 3,525 |  |
| Purchases | 49 |  |
| Settlements | 5,937 |  |
| Balance - September 30, 2017 | $ | (3,493 | ) |
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 assets and (liabilities) |
| Balance - January 1, 2018 | $ | (2,952 | ) |
| Total realized and unrealized gains |  |
| Included in other income | 2,399 |  |
| Purchases | (9,379 | ) |
| Settlements | 983 |  |
| Balance - September 30, 2018 | $ | (8,949 | ) |
|  | Other assets and (liabilities) |
| Balance - January 1, 2017 | $ | (13,004 | ) |
| Total realized and unrealized gains |  |
| Included in other income | 3,525 |  |
| Purchases | 49 |  |
| Settlements | 5,937 |  |
| Balance - September 30, 2017 | $ | (3,493 | ) |
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, 2018 |  | December 31, 2017 |
| Other investments | $ | 738,919 |  |  | $ | 594,793 |  |
| Other assets | $ | 5,259 |  |  | $ | 2,542 |  |
| Other liabilities | $ | 14,208 |  |  | $ | 5,494 |  |
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, 2018 | Fair Value |  | Unfunded Commitments |  | Redemption Frequency |  | Redemption Notice Period (Minimum Days) |  | Redemption Notice Period (Maximum Days) |
| Private equity partnerships | $ | 185,121 |  |  | $ | 416,847 |  |  | See below |  | See below |  | See below |
| Senior secured bank loan funds | 17,057 |  |  | 20,262 |  |  | See below |  | See below |  | See below |
| Hedge funds | 11,615 |  |  | — |  |  | See below |  | See below |  | See below |
| Total other investments measured using net asset valuations | $ | 213,793 |  |  | $ | 437,109 |  |  |  |  |  |  |  |

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