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Consolidated Statements of Income (USD $)
In Millions, except Per Share data, unless otherwise specified
3 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Revenues    
Premiums Earned $ 3,105us-gaap_PremiumsEarnedNetPropertyAndCasualty $ 3,029us-gaap_PremiumsEarnedNetPropertyAndCasualty
Investment Income 339us-gaap_InterestAndDividendIncomeOperating 358us-gaap_InterestAndDividendIncomeOperating
Other Revenues 2us-gaap_OtherIncome 3us-gaap_OtherIncome
Realized Investment Gains (Losses), Net    
Total Other-Than-Temporary Impairment Losses on Investments (23)us-gaap_ImpairmentOfInvestments  
Other Realized Investment Gains, Net 34us-gaap_AvailableforsaleSecuritiesGrossRealizedGainLossExcludingOtherThanTemporaryImpairments 116us-gaap_AvailableforsaleSecuritiesGrossRealizedGainLossExcludingOtherThanTemporaryImpairments
Total Realized Investment Gains, Net 11us-gaap_GainLossOnInvestments 116us-gaap_GainLossOnInvestments
Total Revenues 3,457us-gaap_Revenues 3,506us-gaap_Revenues
Losses and Expenses    
Losses and Loss Expenses 1,920us-gaap_IncurredClaimsPropertyCasualtyAndLiability 1,845us-gaap_IncurredClaimsPropertyCasualtyAndLiability
Amortization of Deferred Policy Acquisition Costs 626us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense 622us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense
Other Insurance Operating Costs and Expenses 347us-gaap_OtherUnderwritingExpense 356us-gaap_OtherUnderwritingExpense
Investment Expenses 12us-gaap_InvestmentIncomeInvestmentExpense 11us-gaap_InvestmentIncomeInvestmentExpense
Other Expenses 4us-gaap_OtherNonoperatingExpense 5us-gaap_OtherNonoperatingExpense
Corporate Expenses 66cb_CorporateExpenses 64cb_CorporateExpenses
Total Losses and Expenses 2,975us-gaap_BenefitsLossesAndExpenses 2,903us-gaap_BenefitsLossesAndExpenses
Income Before Federal and Foreign Income Tax 482us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments 603us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
Federal and Foreign Income Tax 107us-gaap_IncomeTaxExpenseBenefit 154us-gaap_IncomeTaxExpenseBenefit
Net Income $ 375us-gaap_NetIncomeLoss $ 449us-gaap_NetIncomeLoss
Net Income Per Share    
Basic $ 1.61us-gaap_EarningsPerShareBasic $ 1.81us-gaap_EarningsPerShareBasic
Diluted $ 1.60us-gaap_EarningsPerShareDiluted $ 1.80us-gaap_EarningsPerShareDiluted
Dividends Declared Per Share $ 0.57us-gaap_CommonStockDividendsPerShareDeclared $ 0.50us-gaap_CommonStockDividendsPerShareDeclared