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RESERVE FOR LOSSES AND LOSS EXPENSES (Reserve Roll-Forward) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2018
Sep. 30, 2017
Reconciliation of Beginning and Ending Gross Unpaid Losses and Loss Expenses        
Gross reserve for losses and loss expenses, beginning of period     $ 12,997,553 $ 9,697,827
Less reinsurance recoverable on unpaid losses, beginning of period     (3,159,514) (2,276,109)
Net reserve for unpaid losses and loss expenses, beginning of period     9,838,039 7,421,718
Net incurred losses and loss expenses related to:        
Current year     2,323,028 2,591,135
Prior years $ (45,660) $ (47,768) (160,083) (143,495)
Net incurred losses and loss expenses     2,162,945 2,447,640
Net paid losses and loss expenses related to:        
Current year     (381,158) (328,751)
Prior years     (1,770,667) (1,384,510)
Net paid losses and loss expenses     (2,151,825) (1,713,261)
Foreign exchange and other     (1,040,999) 333,456
Net reserve for unpaid losses and loss expenses, end of period 8,808,160 8,489,553 8,808,160 8,489,553
Reinsurance recoverable on unpaid losses, end of period 3,217,787 2,298,022 3,217,787 2,298,022
Gross reserve for losses and loss expenses, end of period $ 12,025,947 $ 10,787,575 $ 12,025,947 $ 10,787,575