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Condensed Financial Information of Parent Company - Balance Sheets (Detail) (USD $)
In Millions, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Assets      
Short Term Investments $ 1,318us-gaap_OtherShortTermInvestments $ 2,114us-gaap_OtherShortTermInvestments  
Taxable Fixed Maturities (cost $1,213 and $1,095) 38,780us-gaap_AvailableForSaleSecuritiesDebtSecurities 37,091us-gaap_AvailableForSaleSecuritiesDebtSecurities  
Equity Securities (cost $- and $-) 1,964us-gaap_AvailableForSaleSecuritiesEquitySecurities 1,810us-gaap_AvailableForSaleSecuritiesEquitySecurities  
TOTAL INVESTED ASSETS 43,485us-gaap_Investments 42,613us-gaap_Investments  
Other Assets 1,138us-gaap_OtherAssets 1,205us-gaap_OtherAssets  
TOTAL ASSETS 51,286us-gaap_Assets 50,433us-gaap_Assets 52,184us-gaap_Assets
Liabilities      
Long Term Debt 3,300us-gaap_LongTermDebt 3,300us-gaap_LongTermDebt  
Dividend Payable to Shareholders 117us-gaap_DividendsPayableCurrentAndNoncurrent 110us-gaap_DividendsPayableCurrentAndNoncurrent  
Accrued Expenses and Other Liabilities 2,299us-gaap_OtherLiabilities 1,357us-gaap_OtherLiabilities  
TOTAL LIABILITIES 34,990us-gaap_Liabilities 34,336us-gaap_Liabilities  
Shareholders' Equity      
Preferred Stock - Authorized 8,000,000 Shares; $1 Par Value; Issued - None        
Common Stock - Authorized 1,200,000,000 Shares; $1 Par Value; Issued 371,980,460 Shares 372us-gaap_CommonStockValue 372us-gaap_CommonStockValue  
Paid-In Surplus 171us-gaap_AdditionalPaidInCapitalCommonStock 171us-gaap_AdditionalPaidInCapitalCommonStock  
Retained Earnings 23,520us-gaap_RetainedEarningsAccumulatedDeficit 21,902us-gaap_RetainedEarningsAccumulatedDeficit  
Accumulated Other Comprehensive Income 1,110us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax 1,035us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax  
Treasury Stock, at Cost - 139,551,071 and 123,673,969 Shares (8,877)us-gaap_TreasuryStockValue (7,383)us-gaap_TreasuryStockValue  
TOTAL SHAREHOLDERS' EQUITY 16,296us-gaap_StockholdersEquity 16,097us-gaap_StockholdersEquity 15,827us-gaap_StockholdersEquity
TOTAL LIABILITIES AND SHAREHOLDERS' EQUITY 51,286us-gaap_LiabilitiesAndStockholdersEquity 50,433us-gaap_LiabilitiesAndStockholdersEquity  
Parent Company [Member]      
Assets      
Short Term Investments 574us-gaap_OtherShortTermInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
856us-gaap_OtherShortTermInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Taxable Fixed Maturities (cost $1,213 and $1,095) 1,226us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1,110us-gaap_AvailableForSaleSecuritiesDebtSecurities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Equity Securities (cost $- and $-)    2us-gaap_AvailableForSaleSecuritiesEquitySecurities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
TOTAL INVESTED ASSETS 1,800us-gaap_Investments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1,968us-gaap_Investments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Investment in Consolidated Subsidiaries 17,838cb_InvestmentInConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
17,455cb_InvestmentInConsolidatedSubsidiaries
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Other Assets 168us-gaap_OtherAssets
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
165us-gaap_OtherAssets
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
TOTAL ASSETS 19,806us-gaap_Assets
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
19,588us-gaap_Assets
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Liabilities      
Long Term Debt 3,300us-gaap_LongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
3,300us-gaap_LongTermDebt
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Dividend Payable to Shareholders 117us-gaap_DividendsPayableCurrentAndNoncurrent
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
110us-gaap_DividendsPayableCurrentAndNoncurrent
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Accrued Expenses and Other Liabilities 93us-gaap_OtherLiabilities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
81us-gaap_OtherLiabilities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
TOTAL LIABILITIES 3,510us-gaap_Liabilities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
3,491us-gaap_Liabilities
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Shareholders' Equity      
Preferred Stock - Authorized 8,000,000 Shares; $1 Par Value; Issued - None        
Common Stock - Authorized 1,200,000,000 Shares; $1 Par Value; Issued 371,980,460 Shares 372us-gaap_CommonStockValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
372us-gaap_CommonStockValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Paid-In Surplus 171us-gaap_AdditionalPaidInCapitalCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
171us-gaap_AdditionalPaidInCapitalCommonStock
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Retained Earnings 23,520us-gaap_RetainedEarningsAccumulatedDeficit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
21,902us-gaap_RetainedEarningsAccumulatedDeficit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Accumulated Other Comprehensive Income 1,110us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1,035us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
Treasury Stock, at Cost - 139,551,071 and 123,673,969 Shares (8,877)us-gaap_TreasuryStockValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(7,383)us-gaap_TreasuryStockValue
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
TOTAL SHAREHOLDERS' EQUITY 16,296us-gaap_StockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
16,097us-gaap_StockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
 
TOTAL LIABILITIES AND SHAREHOLDERS' EQUITY $ 19,806us-gaap_LiabilitiesAndStockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 19,588us-gaap_LiabilitiesAndStockholdersEquity
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember