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Variable Interest Entities and Noncontrolling Interests - Carrying amount of assets and liabilities of variable interest entity (Details) - USD ($)
$ in Thousands
Sep. 30, 2021
Jun. 30, 2021
Dec. 31, 2020
Sep. 30, 2020
Jun. 30, 2020
Dec. 31, 2019
Variable Interest Entity [Line Items]            
Other investments measured at fair value $ 2,043,970   $ 3,824,796      
Fixed maturities available for sale, at fair value 16,768,363   18,717,825      
Equity securities, at fair value 1,790,640   1,444,830      
Cash 1,137,721   906,448      
Accrued investment income 75,832   103,299      
Premiums receivable 2,807,720 $ 2,866,578 2,064,586 $ 2,225,311 $ 2,203,753 $ 1,778,717
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses 5,358,852 4,314,515 4,500,802 4,621,937 4,363,507 4,346,816
Ceded unearned premiums 1,824,910   1,234,075      
Deferred acquisition costs 893,665   790,708      
Receivable for securities sold 84,019   92,743      
Goodwill and intangible assets 963,322   692,863 713,777    
Other assets 2,286,649   1,724,288      
Total VIE Assets 44,783,736   43,282,297      
Reserve for losses and loss adjustment expenses 17,331,047 17,196,648 16,513,929 15,900,526 15,044,874 13,891,842
Unearned premiums 6,165,114   4,838,965      
Reinsurance balances payable 1,403,929   683,263      
Revolving credit agreement borrowings 0   155,687      
Senior notes 2,724,149   2,861,113      
Payable for securities purchased 357,531   218,779      
Other liabilities 1,321,470   1,510,888      
Total liabilities 31,385,973   29,294,856      
Redeemable noncontrolling interests 10,237   58,548      
Watford Holdings Ltd            
Variable Interest Entity [Line Items]            
Redeemable noncontrolling interests $ 10,237 $ 57,533 58,548 $ 57,835 $ 55,986 $ 55,404
Variable Interest Entity, Primary Beneficiary | Watford Holdings Ltd            
Variable Interest Entity [Line Items]            
Other investments measured at fair value [1]     1,790,385      
Fixed maturities available for sale, at fair value     655,249      
Equity securities, at fair value     52,410      
Cash     211,451      
Accrued investment income     14,679      
Premiums receivable     224,377      
Reinsurance recoverable on unpaid and paid losses and loss adjustment expenses     286,590      
Ceded unearned premiums     122,339      
Deferred acquisition costs     53,705      
Receivable for securities sold     37,423      
Goodwill and intangible assets     7,650      
Other assets     75,801      
Total VIE Assets     3,532,059      
Reserve for losses and loss adjustment expenses     1,519,583      
Unearned premiums     407,714      
Reinsurance balances payable     63,269      
Revolving credit agreement borrowings     155,687      
Senior notes     172,689      
Payable for securities purchased     25,881      
Other liabilities     193,494      
Total liabilities     2,538,317      
Redeemable noncontrolling interests     $ 52,398      
[1] Included in “other investments” on the Company’s balance sheet.