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Comprehensive Income - Components of Other Comprehensive Income or Loss (Detail) (USD $)
In Millions, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Statement of Comprehensive Income [Abstract]    
Net unrealized holding gains arising during the period, Before Tax $ 168us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax $ 424us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax
Reclassification adjustment for net realized gains included in net income, Before Tax 1us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax 63us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax
Change in unrealized appreciation of fixed maturities and equity securities 167us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax 361us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax
Postretirement benefit gain not yet recognized in net income arising during the year, Before Tax 9cb_PostretirementBenefitGainLossNotYetRecognizedInNetIncomeArisingDuringPeriodBeforeTax  
Reclassification adjustment for the amortization of net actuarial loss and prior service cost included in net income, Before Tax (16)us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax (9)us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditBeforeTax
Net change in postretirement benefit costs not yet recognized in net income, Before Tax 25us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentBeforeTax 9us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentBeforeTax
Foreign currency translation losses, Before Tax (270)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentBeforeTax (28)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentBeforeTax
Total other comprehensive income (loss), Before Tax (78)us-gaap_OtherComprehensiveIncomeLossBeforeTax 342us-gaap_OtherComprehensiveIncomeLossBeforeTax
Net unrealized holding gains arising during the period, Income Tax 58us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax 148us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax
Reclassification adjustment for net realized gains included in net income, Income Tax   22us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax
Net unrealized gains recognized in other comprehensive income, Income Tax 58us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesTax 126us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesTax
Postretirement benefit gain not yet recognized in net income arising during the year, Income Tax 3cb_PostretirementBenefitGainLossNotYetRecognizedInNetIncomeArisingDuringPeriodTax  
Reclassification adjustment for the amortization of net actuarial loss and prior service cost included in net income, Income Tax (5)us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditTax (3)us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditTax
Net change in postretirement benefit costs not yet recognized in net income, Income Tax 8us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax 3us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansTax
Foreign currency translation losses, Income Tax (94)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax (9)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentTax
Total other comprehensive income (loss), Income Tax (28)us-gaap_OtherComprehensiveIncomeLossTax 120us-gaap_OtherComprehensiveIncomeLossTax
Net unrealized holding gains arising during the period, Net of Tax 110us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax 276us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax
Reclassification adjustment for net realized gains included in net income, Net of Tax 1us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax 41us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax
Net unrealized gains recognized in other comprehensive income, Net of Tax 109us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLossNetOfTax 235us-gaap_AvailableForSaleSecuritiesChangeInNetUnrealizedHoldingGainLossNetOfTax
Postretirement benefit gain not yet recognized in net income arising during the year, Net of Tax 6cb_PostretirementBenefitGainLossNotYetRecognizedInNetIncomeArisingDuringPeriodNetOfTax  
Reclassification adjustment for the amortization of net actuarial loss and prior service cost included in net income, Net of Tax (11)us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditNetOfTax (6)us-gaap_OtherComprehensiveIncomeLossAmortizationAdjustmentFromAOCIPensionAndOtherPostretirementBenefitPlansForNetPriorServiceCostCreditNetOfTax
Net change in postretirement benefit costs not yet recognized in net income, Net of Tax 17us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax 6us-gaap_OtherComprehensiveIncomeLossPensionAndOtherPostretirementBenefitPlansAdjustmentNetOfTax
Foreign currency translation losses, Net of Tax (176)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax (19)us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax
Total Other Comprehensive Income (Loss) Net of Tax $ (50)us-gaap_OtherComprehensiveIncomeLossNetOfTax $ 222us-gaap_OtherComprehensiveIncomeLossNetOfTax