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Investments (Tables) | 3 Months Ended
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Mar. 31, 2018
Investments [Abstract] |
Schedule of Fair Value of Fixed Maturity Investments Trading | The following table summarizes the fair value of fixed maturity investments trading:
|  | March 31, 2018 |  | December 31, 2017 |
| U.S. treasuries | $ | 2,834,487 |  |  | $ | 3,168,763 |  |
| Agencies | 45,365 |  |  | 47,646 |  |
| Municipal | 506,470 |  |  | 509,802 |  |
| Non-U.S. government (Sovereign debt) | 303,056 |  |  | 287,660 |  |
| Non-U.S. government-backed corporate | 191,202 |  |  | 163,651 |  |
| Corporate | 2,147,578 |  |  | 2,063,459 |  |
| Agency mortgage-backed | 693,377 |  |  | 500,456 |  |
| Non-agency mortgage-backed | 302,638 |  |  | 300,331 |  |
| Commercial mortgage-backed | 197,126 |  |  | 202,062 |  |
| Asset-backed | 183,462 |  |  | 182,725 |  |
| Total fixed maturity investments trading | $ | 7,404,761 |  |  | $ | 7,426,555 |  |
Schedule of Contractual Maturities of Fixed Maturity Investments | Contractual maturities of fixed maturity investments trading are described in the following table. Expected maturities will differ from contractual maturities because borrowers may have the right to call or prepay obligations with or without call or prepayment penalties.
| March 31, 2018 | Amortized Cost |  | Fair Value |
| Due in less than one year | $ | 496,788 |  |  | $ | 495,143 |  |
| Due after one through five years | 4,381,056 |  |  | 4,324,744 |  |
| Due after five through ten years | 1,073,453 |  |  | 1,064,575 |  |
| Due after ten years | 145,438 |  |  | 143,696 |  |
| Mortgage-backed | 1,189,730 |  |  | 1,193,141 |  |
| Asset-backed | 183,538 |  |  | 183,462 |  |
| Total | $ | 7,470,003 |  |  | $ | 7,404,761 |  |
Schedule of Fair Value of Equity Investments Trading | The following table summarizes the fair value of equity investments trading:
|  | March 31, 2018 |  | December 31, 2017 |
| Financials | $ | 253,905 |  |  | $ | 253,543 |  |
| Communications and technology | 51,400 |  |  | 49,526 |  |
| Industrial, utilities and energy | 32,790 |  |  | 34,325 |  |
| Consumer | 23,886 |  |  | 24,779 |  |
| Healthcare | 21,042 |  |  | 21,364 |  |
| Basic materials | 4,439 |  |  | 4,717 |  |
| Total | $ | 387,462 |  |  | $ | 388,254 |  |
Schedule of Net Investment Income | The components of net investment income are as follows:
|  | Three months ended |
|  | March 31, 2018 |  | March 31, 2017 |
| Fixed maturity investments | $ | 45,643 |  |  | $ | 43,419 |  |
| Short term investments | 5,304 |  |  | 1,724 |  |
| Equity investments | 698 |  |  | 811 |  |
| Other investments |  |  |  |
| Private equity investments | (434 | ) |  | 7,802 |  |
| Other | 8,023 |  |  | 4,072 |  |
| Cash and cash equivalents | 565 |  |  | 189 |  |
|  | 59,799 |  |  | 58,017 |  |
| Investment expenses | (3,323 | ) |  | (3,692 | ) |
| Net investment income | $ | 56,476 |  |  | $ | 54,325 |  |
Schedule of Net Realized and Unrealized (Losses) Gains On Investments | Net realized and unrealized (losses) gains on investments are as follows:
|  | Three months ended |
|  | March 31, 2018 |  | March 31, 2017 |
| Gross realized gains | $ | 4,583 |  |  | $ | 11,461 |  |
| Gross realized losses | (25,853 | ) |  | (16,533 | ) |
| Net realized losses on fixed maturity investments | (21,270 | ) |  | (5,072 | ) |
| Net unrealized (losses) gains on fixed maturity investments trading | (55,372 | ) |  | 24,635 |  |
| Net realized and unrealized losses on investments-related derivatives | (4,364 | ) |  | (56 | ) |
| Net realized gains on equity investments trading sold during the period | 234 |  |  | 20,915 |  |
| Net unrealized (losses) gains on equity investments trading still held at reporting date | (1,372 | ) |  | 2,951 |  |
| Net realized and unrealized (losses) gains on equity investments trading | (1,138 | ) |  | 23,866 |  |
| Net realized and unrealized (losses) gains on investments | $ | (82,144 | ) |  | $ | 43,373 |  |

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- Definition Tabular disclosure of the realized and unrealized gains and losses reported in the statement of income which have resulted from the sale and holding of marketable securities, respectively, as well as the sale or disposal of cost method investments. Such amounts would include realized gains and losses on the sale or disposal of trading, available-for-sale, and held-to-maturity securities, unrealized gains and losses on trading securities, unrealized gains and losses on available-for-sale and held-to-maturity securities transferred to the trading securities category, realized gains and losses on the sale or disposal of cost method investments, and losses recognized for other than temporary impairments (OTTI) of such investments. + References Reference 1: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 320 -SubTopic 10 -Section 50 -Paragraph 9 -Subparagraph (d) -URI http://asc.fasb.org/extlink&oid=82897076&loc=d3e27357-111563 Reference 2: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 320 -SubTopic 10 -Section 25 -Paragraph 1 -URI http://asc.fasb.org/extlink&oid=75030427&loc=d3e22054-111558 Reference 3: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 320 -SubTopic 10 -Section 50 -Paragraph 9 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=82897076&loc=d3e27357-111563 Reference 4: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 320 -SubTopic 10 -Section 50 -Paragraph 10 -Subparagraph (c) -URI http://asc.fasb.org/extlink&oid=82897076&loc=d3e27405-111563 Reference 5: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 320 -SubTopic 10 -Section 50 -Paragraph 9 -Subparagraph (e) -URI http://asc.fasb.org/extlink&oid=82897076&loc=d3e27357-111563 Reference 6: http://www.xbrl.org/2003/role/presentationRef -Publisher FASB -Name Accounting Standards Codification -Topic 320 -SubTopic 10 -Section S99 -Paragraph 1 -Subparagraph (SAB Topic 5.M) -URI http://asc.fasb.org/extlink&oid=65877573&loc=d3e87990-122713 + Details
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