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Investment Securities (Rollforward of Fair Value Measurements by Level) (Details) - USD ($)
3 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Dec. 31, 2017
Dec. 31, 2016
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance $ 3,208,300,000 $ 2,547,300,000    
Net realized and unrealized (losses) gains (45,400,000) 39,100,000    
Amortization/Accretion (1,200,000) (2,500,000)    
Purchases 692,600,000 498,900,000    
Sales (1,321,800,000) (466,800,000)    
Transfers in 0 0    
Transfers out 0 0    
Ending balance 2,532,500,000 2,610,800,000    
Net realized and unrealized investment (losses) gains (53,700,000) 36,300,000    
Level 1 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 890,400,000 279,500,000    
Net realized and unrealized (losses) gains (14,300,000) 13,100,000    
Amortization/Accretion 0 0    
Purchases 238,900,000 115,200,000    
Sales (240,700,000) (76,000,000)    
Transfers in 0 0    
Transfers out 0 0    
Ending balance 874,300,000 331,800,000    
Level 2 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 2,105,400,000 2,093,800,000    
Net realized and unrealized (losses) gains (26,000,000) 18,400,000    
Amortization/Accretion (1,200,000) (2,500,000)    
Purchases 407,700,000 351,100,000    
Sales (1,080,800,000) (387,600,000)    
Transfers in 0 0    
Transfers out 0 0    
Ending balance 1,405,100,000 2,068,000,000    
Fixed maturity investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 0 0    
Net realized and unrealized (losses) gains 0 100,000    
Amortization/Accretion 0 0    
Purchases 0 11,000,000    
Sales 0      
Transfers in 0 0    
Transfers out 0 0    
Ending balance 0 11,100,000    
Other long-term investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 87,200,000 91,400,000    
Net realized and unrealized (losses) gains (8,700,000) 200,000    
Amortization/Accretion 0 0    
Purchases 44,000,000 200,000    
Sales 0 (2,000,000)    
Transfers in 0 0    
Transfers out 0 0    
Ending balance 122,500,000 89,800,000    
Hedge and private equity funds included in other long-term investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 125,300,000 82,600,000    
Net realized and unrealized (losses) gains 3,600,000 7,300,000    
Amortization/Accretion 0 0    
Purchases 2,000,000 21,400,000    
Sales (300,000) (1,200,000)    
Transfers in 0 0    
Transfers out 0 0    
Ending balance 130,600,000 110,100,000    
Short-term investments        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Net realized and unrealized investment (losses) gains 600,000.0      
Foreign Exchange Forward        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Net realized and unrealized investment (losses) gains 3,500,000.0 2,800,000.0    
Foreign Currency on Cash and Open Trades        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Net realized and unrealized investment (losses) gains 4,200,000.0      
Fair value measured on a recurring basis        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 3,259,100,000      
Ending balance 3,164,900,000      
Fair value measured on a recurring basis | Level 1 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 1,041,400,000      
Ending balance 1,611,600,000      
Fair value measured on a recurring basis | Level 2 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 2,130,500,000      
Ending balance 1,430,800,000      
Fair value measured on a recurring basis | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 87,200,000      
Ending balance 122,500,000      
Fair value measured on a recurring basis | Fixed maturity investments        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 2,129,700,000      
Ending balance 1,333,800,000      
Fair value measured on a recurring basis | Fixed maturity investments | Level 1 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 296,500,000      
Ending balance 197,700,000      
Fair value measured on a recurring basis | Fixed maturity investments | Level 2 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 1,833,200,000      
Ending balance 1,136,100,000      
Fair value measured on a recurring basis | Fixed maturity investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 0      
Ending balance 0      
Fair value measured on a recurring basis | Other long-term investments        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 87,200,000      
Ending balance 122,500,000      
Fair value measured on a recurring basis | Other long-term investments | Level 1 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 0      
Ending balance 0      
Fair value measured on a recurring basis | Other long-term investments | Level 2 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 0      
Ending balance 0      
Fair value measured on a recurring basis | Other long-term investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 87,200,000      
Ending balance 122,500,000      
Fair value measured on a recurring basis | Short-term investments        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 176,100,000      
Short-term investments, at amortized cost (which approximates fair value)     $ 763,000,000  
Fair value measured on a recurring basis | Short-term investments | Level 1 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 151,000,000      
Ending balance 737,300,000      
Short-term investments, at amortized cost (which approximates fair value)   138,200,000 176,100,000 $ 175,000,000
Fair value measured on a recurring basis | Short-term investments | Level 2 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 25,100,000      
Ending balance 25,700,000      
Fair value measured on a recurring basis | Short-term investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Beginning balance 0      
Ending balance $ 0      
Forward Contracts | Fair value measured on a recurring basis | Other long-term investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Derivative, fair value, net   (4,100,000) $ (3,700,000) (1,200,000)
Star & Shield Insurance Exchange        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Deconsolidation of SSIE   5,200,000    
Star & Shield Insurance Exchange | Level 1 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Deconsolidation of SSIE   0    
Star & Shield Insurance Exchange | Level 2 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Deconsolidation of SSIE   5,200,000    
Star & Shield Insurance Exchange | Fixed maturity investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Deconsolidation of SSIE   0    
Star & Shield Insurance Exchange | Other long-term investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Deconsolidation of SSIE   0    
Star & Shield Insurance Exchange | Hedge and private equity funds included in other long-term investments | Level 3 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Deconsolidation of SSIE   $ 0    
Star & Shield Insurance Exchange        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Trading securities debt reclassified to assets held-for-sale       6,600,000
Star & Shield Insurance Exchange | Fair value measured on a recurring basis | Short-term investments | Level 1 Inputs        
Schedule of Trading Securities and Other Trading Assets [Line Items]        
Short-term investments, at amortized cost (which approximates fair value)       $ 100,000