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Consolidated Statements of Cash Flows - USD ($)
$ in Thousands
 12 Months Ended
Dec. 31, 2020
Dec. 31, 2019
Dec. 31, 2018
Operating Activities      
Net income $ 1,465,711 $ 1,693,300 $ 727,821
Adjustments to reconcile net income to net cash provided by operating activities:      
Net realized (gains) losses (844,625) (377,967) 390,379
Equity in net income or loss of investments accounted for using the equity method and other income or loss (47,951) (14,013) 36,694
Amortization of intangible assets 69,031 82,104 105,670
Share-based compensation 71,262 66,417 55,776
Changes in:      
Reserve for losses and loss adjustment expenses, net of unpaid losses and loss adjustment expenses recoverable 2,113,827 489,981 243,734
Unearned premiums, net of ceded unearned premiums 445,781 252,569 114,772
Premiums receivable (318,643) (237,752) (211,296)
Deferred acquisition costs (143,948) (47,260) (37,847)
Reinsurance balances payable 65,950 182,132 73,438
Other items, net 10,110 (41,052) 60,181
Net cash provided by operating activities 2,886,505 2,048,459 1,559,322
Investing Activities:      
Purchases of fixed maturity investments (39,765,277) (30,053,777) (33,327,660)
Purchases of equity securities (1,595,010) (811,967) (1,001,149)
Purchases of other investments (1,808,727) (1,470,545) (2,014,622)
Proceeds from the sale of fixed maturity investments 37,949,346 28,595,865 31,513,271
Proceeds from sales of equity securities 1,147,264 429,818 1,118,445
Proceeds from sales, redemptions and maturities of other investments 1,029,578 1,209,559 1,561,958
Proceeds from redemptions and maturities of fixed maturity investments 871,134 643,265 892,755
Net settlements of derivative instruments 179,006 59,982 44,699
Net (purchases) sales of short-term investments (1,029,681) 39,833 485,473
Change in cash collateral related to securities lending 81,210 (62,193) 180,883
Purchases of fixed assets (39,872) (37,837) (29,809)
Other (62,197) (348,486) 21,736
Net cash provided by (used for) investing activities (3,043,226) (1,806,483) (554,020)
Financing Activities:      
Redemption of preferred shares 0 0 (92,555)
Proceeds from borrowings 1,018,793 200,083 218,259
Repayments of borrowings (359,000) (49,182) (576,401)
Change in cash collateral related to securities lending (81,210) 62,193 (180,883)
Change in third party investment in non-redeemable noncontrolling interests (2,867) (75,056) 0
Change in third party investment in redeemable noncontrolling interests 0 (161,882) 0
Dividends paid to redeemable noncontrolling interests (4,945) (12,515) (17,989)
Other 73,715 (6,023) (7,226)
Net Cash Provided by (Used in) Financing Activities 521,278 (80,662) (988,810)
Effects of exchange rate changes on foreign currency cash and restricted cash 22,289 17,741 (19,133)
Increase (decrease) in cash and restricted cash 386,846 179,055 (2,641)
Cash and restricted cash, beginning of year 903,698 724,643 727,284
Cash and restricted cash, end of year 1,290,544 903,698 724,643
Supplemental cash flow information      
Income taxes paid (received) 202,940 109,463 (980)
Interest paid $ 133,491 $ 126,945 $ 119,775