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Segment Information (Operations By Segment) (Detail) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2021
Sep. 30, 2020
Segment Reporting Information [Line Items]        
Net premiums written $ 10,510 $ 9,078 $ 28,718 $ 25,410
Net premiums earned 10,000 8,765 27,034 24,687
Losses and loss expenses 6,629 5,835 16,688 16,897
Policy benefits 151 198 503 550
Policy acquisition costs 1,778 1,645 5,141 4,853
Administrative expenses 806 733 2,325 2,201
Underwriting income (loss) 636 354 2,377 186
Net investment income (loss) 866 840 2,613 2,528
Other (income) expense (763) (485) (2,030) (372)
Amortization of purchased intangibles 71 72 216 217
Segment Income (loss) 2,194 1,607 6,804 2,869
Realized Investment Gains (Losses) (21) (141) 833 (1,069)
Interest expense 122 130 366 390
Income tax expense 218 142 873 295
Net income (loss) 1,833 1,194 6,398 1,115
Segment Reconciling Items        
Segment Reporting Information [Line Items]        
Net premiums written 0 0 0 0
Net premiums earned 0 0 0 0
Losses and loss expenses (10) 1 (8) (2)
Policy benefits (24) 24 (5) 8
Policy acquisition costs 0 0 0 0
Administrative expenses 0 0 0 0
Underwriting income (loss) 34 (25) 13 (6)
Net investment income (loss) (55) (32) (135) (64)
Other (income) expense (31) [1] (56) (130) (72)
Amortization of purchased intangibles 0 0 0 0
Segment Income (loss) 10 (1) 8 2
Realized Investment Gains (Losses) (10) 1 (8) (2)
Interest expense 0 0 0 0
Income tax expense 0 0 0 0
Net income (loss) 0 0 0 0
North America Commercial P&C Insurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums written 4,369 3,778 12,318 10,750
Net premiums earned 3,954 3,456 11,431 10,427
Losses and loss expenses 2,754 2,444 7,740 8,123
Policy benefits 0 0 0 0
Policy acquisition costs 537 489 1,540 1,452
Administrative expenses 273 243 772 751
Underwriting income (loss) 390 280 1,379 101
Net investment income (loss) 507 510 1,582 1,544
Other (income) expense 8 [1] 7 24 19
Amortization of purchased intangibles 0 0 0 0
Segment Income (loss) 889 783 2,937 1,626
North America Personal P&C Insurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums written 1,300 1,285 3,761 3,719
Net premiums earned 1,244 1,231 3,652 3,623
Losses and loss expenses 846 961 2,341 2,406
Policy benefits 0 0 0 0
Policy acquisition costs 254 248 746 724
Administrative expenses 73 65 200 199
Underwriting income (loss) 71 (43) 365 294
Net investment income (loss) 60 64 189 195
Other (income) expense 1 [1] 1 (3) 4
Amortization of purchased intangibles 2 2 8 8
Segment Income (loss) 128 18 549 477
North America Agricultural Insurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums written 1,415 986 2,110 1,604
Net premiums earned 1,338 971 1,858 1,441
Losses and loss expenses 1,138 845 1,554 1,223
Policy benefits 0 0 0 0
Policy acquisition costs 61 56 100 96
Administrative expenses 4 5 10 12
Underwriting income (loss) 135 65 194 110
Net investment income (loss) 6 7 21 23
Other (income) expense 0 [1] 0 0 1
Amortization of purchased intangibles 7 7 20 20
Segment Income (loss) 134 65 195 112
Overseas General Insurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums written 2,596 2,238 7,983 6,857
Net premiums earned 2,664 2,337 7,721 6,838
Losses and loss expenses 1,487 1,192 3,936 3,935
Policy benefits 0 0 0 0
Policy acquisition costs 703 637 2,070 1,903
Administrative expenses 266 260 811 759
Underwriting income (loss) 208 248 904 241
Net investment income (loss) 157 130 447 396
Other (income) expense 0 [1] 1 3 10
Amortization of purchased intangibles 11 10 36 33
Segment Income (loss) 354 367 1,312 594
Global Reinsurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums written 221 181 702 606
Net premiums earned 211 171 583 520
Losses and loss expenses 192 154 422 314
Policy benefits 0 0 0 0
Policy acquisition costs 55 40 147 127
Administrative expenses 9 9 27 28
Underwriting income (loss) (45) (32) (13) 51
Net investment income (loss) 99 85 250 214
Other (income) expense 0 [1] 0 0 1
Amortization of purchased intangibles 0 0 0 0
Segment Income (loss) 54 53 237 264
Life Insurance [Member]        
Segment Reporting Information [Line Items]        
Net premiums written 609 610 1,844 1,874
Net premiums earned 589 599 1,789 1,838
Losses and loss expenses 179 183 562 556
Policy benefits 175 174 508 542
Policy acquisition costs 168 175 538 551
Administrative expenses 82 80 247 238
Underwriting income (loss) (15) (13) (66) (49)
Net investment income (loss) 102 95 301 285
Other (income) expense (19) [1] (23) (79) (52)
Amortization of purchased intangibles 2 1 4 3
Segment Income (loss) 104 104 310 285
Corporate Segment [Member]        
Segment Reporting Information [Line Items]        
Net premiums written 0 0 0 0
Net premiums earned 0 0 0 0
Losses and loss expenses 43 55 141 342
Policy benefits 0 0 0 0
Policy acquisition costs 0 0 0 0
Administrative expenses 99 71 258 214
Underwriting income (loss) (142) (126) (399) (556)
Net investment income (loss) (10) (19) (42) (65)
Other (income) expense (722) [1] (415) (1,845) (283)
Amortization of purchased intangibles 49 52 148 153
Segment Income (loss) 521 218 1,256 (491)
Realized Investment Gains (Losses) (11) (142) 841 (1,067)
Interest expense 122 130 366 390
Income tax expense 218 142 873 295
Net income (loss) $ 170 $ (196) $ 858 $ (2,243)
[1] Principally includes our share of operating income and market-to-market gains on private equities where we hold more than three percent. Refer to Note 11 for additional information.