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RESERVE FOR LOSSES AND LOSS EXPENSES - Incurred losses narrative (Details) - USD ($)
$ in Thousands
3 Months Ended 12 Months Ended
Feb. 13, 2017
Dec. 31, 2019
Sep. 30, 2019
Jun. 30, 2019
Mar. 31, 2019
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2019
Dec. 31, 2018
Dec. 31, 2017
Dec. 15, 2019
Aug. 05, 2019
Apr. 16, 2018
Oct. 02, 2017
Apr. 01, 2017
Mar. 20, 2017
Mar. 19, 2017
Dec. 31, 2016
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net losses and loss expenses, net of reinstatement premiums                   $ 3,123,698 $ 3,389,949 $ 3,487,826                
Reinsurance recoverable on unpaid losses   $ 3,877,756       $ 3,501,669       3,877,756 3,501,669 3,159,514 $ 59,000   $ 108,000         $ 2,276,109
Reserve for losses and loss expenses   12,752,081       12,280,769       12,752,081 12,280,769 12,997,553               $ 9,697,827
Foreign exchange and other                   (21,052) 1,156,412 (1,713,227)                
Net favorable (adverse) prior year reserve development                   78,900 199,662 200,054                
Net premiums earned   $ 1,172,051 $ 1,157,307 $ 1,123,607 $ 1,134,212 $ 1,214,469 $ 1,224,075 $ 1,185,548 $ 1,167,402 4,587,178 4,791,495 4,148,760                
Discontinued Operations, Disposed of by Means Other than Sale                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Liability for unpaid claims and claims adjustment expense $ (223,000)                                      
Reduction in reinsurance recoverables on unpaid and paid loses by $ 223,000                                      
Novae                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Interests acquired                               100.00%        
Reserve for losses and loss expenses                       2,126,000                
Reinsurance recoverable on unpaid and paid losses                       788,000                
Aviabel                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Interests acquired                                 100.00%      
Reinsurance recoverable on unpaid and paid losses                       5,000                
Foreign exchange and other                       79,000                
Catastrophe and Weather-related Events                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net losses and loss expenses, net of reinstatement premiums                   336,000 430,000 835,000                
Short Tail Lines Insurance and Reinsurance Business                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   (85,000) 86,000 60,000                
Syndicate 2007                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Ceded reserves for losses and loss expenses                     819,000                  
Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   53,302 92,806 60,459                
Insurance | Short Tail Lines Insurance and Reinsurance Business                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   11,000                    
Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   25,598 106,856 139,595                
Reinsurance | Short Tail Lines Insurance and Reinsurance Business                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   (133,000)                    
Professional lines | Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   12,000 32,000 26,000                
Professional lines | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                     21,000 44,000                
Credit and surety | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   53,000 33,000 33,000                
Liability Insurance Business | Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   (25,000) (22,000) (8,000)                
Liability Insurance Business | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   31,000 23,000 43,000                
Marine | Insurance | Short Tail Lines Insurance and Reinsurance Business                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   33,000                    
Credit and political risk | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   19,000                    
Motor Reserve Class | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net favorable (adverse) prior year reserve development                   71,000 23,000 1,000                
Discount rate                           0.25%       0.75% (2.50%)  
Operating Segments                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   4,587,178 4,791,495 4,148,760                
Operating Segments | Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   2,190,084 2,362,606 1,816,438                
Operating Segments | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   2,397,094 2,428,889 2,332,322                
Operating Segments | Professional lines | Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   661,250 570,241 519,759                
Operating Segments | Professional lines | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   206,328 220,687 226,622                
Operating Segments | Marine | Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   281,764 300,944 181,533                
Operating Segments | Credit and political risk | Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   91,698 102,825 56,432                
Operating Segments | Accident and health | Insurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   144,499 207,777 199,121                
Operating Segments | Accident and health | Reinsurance                                        
Additional Information Related to Net Incurred Losses [Line Items]                                        
Net premiums earned                   $ 319,619 $ 299,813 $ 289,925