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Invested Assets and Related Income - Components of Unrealized Appreciation or Depreciation of Investments (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Investments, Debt and Equity Securities [Abstract]    
Fixed maturities, Gross Unrealized Appreciation $ 1,884us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax $ 1,457us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Fixed maturities, Gross Unrealized Depreciation 62us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax 325us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax
Fixed maturities, Unrealized appreciation (depreciation), Net 1,822cb_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax 1,132cb_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax
Equity securities, Gross Unrealized Appreciation 894us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax 756us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainBeforeTax
Equity securities, Gross Unrealized Depreciation 19us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax 3us-gaap_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedLossBeforeTax
AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax 875cb_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax 753cb_AvailableForSaleEquitySecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax
Total fixed maturities and equity securities, Unrealized appreciation (depreciation), Net 2,697us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax 1,885us-gaap_AvailableForSaleSecuritiesAccumulatedGrossUnrealizedGainLossBeforeTax
Deferred income tax liability 944cb_DeferredIncomeTaxAssetLiability 660cb_DeferredIncomeTaxAssetLiability
Total fixed maturities and equity securities, Unrealized appreciation (depreciation), Net of tax $ 1,753cb_FixedMaturitiesAndEquitySecuritiesUnrealizedAppreciationDepreciationNetOfTax $ 1,225cb_FixedMaturitiesAndEquitySecuritiesUnrealizedAppreciationDepreciationNetOfTax