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Rollforward of Fair Value Measurements by Level (Details)
3 Months Ended 6 Months Ended
Jun. 30, 2015
USD ($)
Jun. 30, 2014
USD ($)
Jun. 30, 2015
USD ($)
Jun. 30, 2014
USD ($)
Dec. 31, 2014
USD ($)
Dec. 31, 2013
USD ($)
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     $ 5,991,400,000 $ 6,766,500,000    
Total realized and unrealized gains (losses)     34,300,000 180,700,000    
Foreign currency gains (losses) through OCI     (70,200,000) (59,400,000)    
Amortization/Accretion     (21,200,000) (22,400,000)    
Purchases     3,057,400,000 2,685,500,000    
Sales     (2,960,800,000) (2,778,500,000)    
Net change in investments related to (sales) purchases of consolidated affiliates       4,600,000    
Fair Value, Assets Measured on Recurring Basis, Other     (67,500,000)      
Transfers in     73,900,000 28,100,000    
Transfers out     (73,900,000) (28,100,000)    
Balance at June 30, 2015 $ 5,963,400,000 $ 6,777,000,000 5,963,400,000 6,777,000,000    
Other Investments 390,100,000   390,100,000   $ 407,000,000  
Realized and unrealized gain (44,600,000) 90,900,000 32,500,000 139,000,000    
Net realized and unrealized investment (losses) gains (61,100,000) 113,900,000 42,300,000 177,700,000    
Short-term investments, at amortized cost (which approximates fair value) 840,500,000   $ 840,500,000   871,700,000  
Maximum Percentage Differences Between Prices Provided by Pricing Services Considered Outliers     (5.00%)      
Maximum price difference provided by pricing services     $ 1,000,000      
Price Difference Between the Investment Management Pricing and Third Party Pricing 1,000,000   1,000,000      
Level 1 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     843,300,000 1,376,700,000    
Total realized and unrealized gains (losses)     13,100,000 67,300,000    
Foreign currency gains (losses) through OCI     (5,400,000) (6,800,000)    
Amortization/Accretion     (100,000) (300,000)    
Purchases     945,900,000 953,500,000    
Sales     (1,017,800,000) (896,100,000)    
Net change in investments related to (sales) purchases of consolidated affiliates       (2,700,000)    
Fair Value, Assets Measured on Recurring Basis, Other     (49,100,000)      
Transfers in     0 0    
Transfers out     0 0    
Balance at June 30, 2015 729,900,000 1,491,600,000 729,900,000 1,491,600,000    
Level 2 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     4,638,000,000 4,982,200,000    
Total realized and unrealized gains (losses)     31,300,000 89,800,000    
Foreign currency gains (losses) through OCI     (62,300,000) (50,800,000)    
Amortization/Accretion     (21,100,000) (22,000,000)    
Purchases     2,002,400,000 1,632,000,000    
Sales     (1,915,500,000) (1,875,600,000)    
Net change in investments related to (sales) purchases of consolidated affiliates       7,300,000    
Fair Value, Assets Measured on Recurring Basis, Other     0      
Transfers in     73,900,000 19,600,000    
Transfers out     0 (8,500,000)    
Balance at June 30, 2015 4,746,700,000 4,774,000,000 4,746,700,000 4,774,000,000    
Fixed maturity investments. | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     76,700,000 93,000,000    
Total realized and unrealized gains (losses)     0 900,000    
Foreign currency gains (losses) through OCI     (200,000) (400,000)    
Amortization/Accretion     0 (100,000)    
Purchases     76,000,000 76,100,000    
Sales     0 0    
Net change in investments related to (sales) purchases of consolidated affiliates       0    
Fair Value, Assets Measured on Recurring Basis, Other     0      
Transfers in     0 8,500,000    
Transfers out     (73,900,000) (19,600,000)    
Balance at June 30, 2015 $ 78,600,000 158,400,000 $ 78,600,000 158,400,000    
Number of Investments 5   5      
Common equity securities | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     $ 40,200,000 46,100,000    
Total realized and unrealized gains (losses)     6,900,000 2,700,000    
Foreign currency gains (losses) through OCI     0 0    
Amortization/Accretion     0 0    
Purchases     0 5,000,000    
Sales     (9,500,000) 0    
Net change in investments related to (sales) purchases of consolidated affiliates       0    
Fair Value, Assets Measured on Recurring Basis, Other     (4,500,000)      
Transfers in     0 0    
Transfers out     0 0    
Balance at June 30, 2015 $ 33,100,000 53,800,000 33,100,000 53,800,000    
Convertible Debt Securities | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     8,200,000 6,100,000    
Total realized and unrealized gains (losses)     (3,700,000) 3,200,000    
Foreign currency gains (losses) through OCI     0 0    
Amortization/Accretion     0 0    
Purchases     0 1,500,000    
Sales     0 0    
Net change in investments related to (sales) purchases of consolidated affiliates       0    
Fair Value, Assets Measured on Recurring Basis, Other     0      
Transfers in     0 0    
Transfers out     0 0    
Balance at June 30, 2015 4,500,000 10,800,000 4,500,000 10,800,000    
Other long-term investments | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     385,000,000 262,400,000    
Total realized and unrealized gains (losses)     (13,300,000) 16,800,000    
Foreign currency gains (losses) through OCI     (2,300,000) (1,400,000)    
Amortization/Accretion     0 0    
Purchases     33,100,000 17,400,000    
Sales     (18,000,000) (6,800,000)    
Net change in investments related to (sales) purchases of consolidated affiliates       0    
Fair Value, Assets Measured on Recurring Basis, Other     (13,900,000)      
Transfers in     0 0    
Transfers out     0 0    
Balance at June 30, 2015 370,600,000 288,400,000 370,600,000 288,400,000    
Fair value measured on a recurring basis            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     6,863,100,000      
Balance at June 30, 2015 6,803,900,000   6,803,900,000      
Fair value measured on a recurring basis | Level 1 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     1,712,100,000      
Balance at June 30, 2015 1,568,200,000   1,568,200,000      
Fair value measured on a recurring basis | Level 2 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     4,640,900,000      
Balance at June 30, 2015 4,748,900,000   4,748,900,000      
Fair value measured on a recurring basis | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     510,100,000      
Balance at June 30, 2015 486,800,000   486,800,000      
Fair value measured on a recurring basis | Fixed maturity investments.            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     4,784,300,000      
Balance at June 30, 2015 4,874,500,000   4,874,500,000      
Fair value measured on a recurring basis | Fixed maturity investments. | Level 1 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     155,400,000      
Balance at June 30, 2015 150,300,000   150,300,000      
Fair value measured on a recurring basis | Fixed maturity investments. | Level 2 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     4,552,200,000      
Balance at June 30, 2015 4,645,600,000   4,645,600,000      
Fair value measured on a recurring basis | Fixed maturity investments. | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     76,700,000      
Balance at June 30, 2015 78,600,000   78,600,000      
Fair value measured on a recurring basis | Convertible Debt Securities            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     20,500,000      
Balance at June 30, 2015 4,500,000   4,500,000      
Fair value measured on a recurring basis | Convertible Debt Securities | Level 1 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     0      
Balance at June 30, 2015 0   0      
Fair value measured on a recurring basis | Convertible Debt Securities | Level 2 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     12,300,000      
Balance at June 30, 2015 0   0      
Fair value measured on a recurring basis | Convertible Debt Securities | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     8,200,000      
Balance at June 30, 2015 4,500,000   4,500,000      
Fair value measured on a recurring basis | Other long-term investments            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     385,000,000      
Balance at June 30, 2015 370,600,000   370,600,000      
Carrying value of investment accounted for using the equity method 3,900,000   3,900,000      
Fair value measured on a recurring basis | Other long-term investments | Level 1 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     0      
Balance at June 30, 2015 0   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]            
Balance at January 1, 2015     0      
Balance at June 30, 2015 0   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]            
Balance at January 1, 2015     385,000,000      
Balance at June 30, 2015 370,600,000   370,600,000      
Carrying value of investment accounted for using the equity method   5,600,000   5,600,000 5,200,000 $ 6,800,000
Fair value measured on a recurring basis | Forward Contracts            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at June 30, 2015 (200,000)   (200,000)      
Fair value measured on a recurring basis | Short-term investments            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     871,700,000      
Balance at June 30, 2015 840,500,000   840,500,000      
Fair value measured on a recurring basis | Short-term investments | Level 1 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     868,800,000      
Balance at June 30, 2015 838,300,000   838,300,000      
Short-term investments, at amortized cost (which approximates fair value) 840,500,000 564,000,000 840,500,000 564,000,000 871,700,000 635,900,000
Fair value measured on a recurring basis | Short-term investments | Level 2 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     2,900,000      
Balance at June 30, 2015 2,200,000   2,200,000      
Fair value measured on a recurring basis | Short-term investments | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015     0      
Balance at June 30, 2015 0   0      
Segment, Discontinued Operations            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Fixed maturity investments reclassified to assets held for sale   203,800,000   203,800,000   236,300,000
Prospector Offshore Fund Ltd [Member] | Fair value measured on a recurring basis | Investment related liabilities [Member]            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Net realized and unrealized investment (losses) gains     900,000 1,800,000    
Forward Contracts | Fair value measured on a recurring basis | Level 3 Inputs            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Balance at January 1, 2015       (100,000)    
Balance at June 30, 2015 (200,000) 100,000 (200,000) 100,000    
Affordable Housing Development Fund [Member]            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Other Investments 15,800,000 $ 18,000,000 15,800,000 $ 18,000,000 16,800,000 $ 19,100,000
Affordable Housing Development Fund [Member] | Fair value measured on a recurring basis | Other long-term investments            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Other Investments $ 15,800,000   15,800,000   $ 16,800,000  
Short-term investments            
Schedule of Trading Securities and Other Trading Assets [Line Items]            
Net realized and unrealized investment (losses) gains     $ 9.3