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Condensed Unaudited Quarterly Financial Data (Details) - USD ($)
$ / shares in Units, $ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2015
Dec. 31, 2014
Dec. 31, 2013
Quarterly Financial Information Disclosure [Abstract]                      
Net premiums earned $ 4,207 $ 4,719 $ 4,360 $ 3,927 $ 4,370 $ 4,754 $ 4,332 $ 3,970 $ 17,213 $ 17,426 $ 16,613
Net investment income 532 549 562 551 577 566 556 553 2,194 2,252 2,144
Net realized gains (losses) including OTTI (60) (397) 126 (89) (210) (120) (73) (104) (420) (507) 504
Total revenues 4,679 4,871 5,048 4,389 4,737 5,200 4,815 4,419 18,987 19,171 19,261
Losses and loss expenses 2,302 2,643 2,417 2,122 2,416 2,684 2,388 2,161 9,484 9,649 9,348
Policy benefits 159 89 153 142 134 125 144 114 543 517 515
Net income $ 683 $ 528 $ 942 $ 681 [1] $ 555 $ 785 $ 779 $ 734 $ 2,834 $ 2,853 $ 3,758
Basic earnings per share $ 2.10 $ 1.63 $ 2.89 $ 2.08 $ 1.68 $ 2.35 $ 2.30 $ 2.16 $ 8.71 $ 8.50 $ 11.02
Diluted earnings per share $ 2.08 $ 1.62 $ 2.86 $ 2.05 $ 1.66 $ 2.32 $ 2.28 $ 2.14 $ 8.62 $ 8.42 $ 10.92
Income Tax Reconciliation, Change To Deferred Taxes Related to Unrealized Foreign Exchange Net $ 89                    
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