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RESERVE FOR LOSSES AND LOSS EXPENSES (Reserve Roll-Forward) (Details) - USD ($)
$ in Thousands
 3 Months Ended
Mar. 31, 2018
Mar. 31, 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 715,652 631,735
Prior years (54,307) (24,793)
Net incurred losses and loss expenses 661,345 606,942
Net paid losses and loss expenses related to:    
Current year (48,814) (31,047)
Prior years (675,393) (521,478)
Net paid losses and loss expenses (724,207) (552,525)
Foreign exchange and other (726,781) 36,797
Net reserve for unpaid losses and loss expenses, end of period 9,048,396 7,512,932
Reinsurance recoverable on unpaid losses, end of period 2,986,247 2,029,031
Gross reserve for losses and loss expenses, end of period $ 12,034,643 $ 9,541,963