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Consolidated Statements of Cash Flows (USD $)
In Millions, unless otherwise specified
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Cash Flows from Operating Activities      
Net Income $ 2,100us-gaap_NetIncomeLoss $ 2,345us-gaap_NetIncomeLoss $ 1,545us-gaap_NetIncomeLoss
Adjustments to Reconcile Net Income to Net Cash Provided by Operating Activities      
Increase (Decrease) in Unpaid Losses and Loss Expenses, Net (45)us-gaap_IncreaseDecreaseInPropertyAndCasualtyInsuranceLiabilities (582)us-gaap_IncreaseDecreaseInPropertyAndCasualtyInsuranceLiabilities 691us-gaap_IncreaseDecreaseInPropertyAndCasualtyInsuranceLiabilities
Increase in Unearned Premiums, Net 264us-gaap_IncreaseDecreaseInUnearnedPremiums 158us-gaap_IncreaseDecreaseInUnearnedPremiums 32us-gaap_IncreaseDecreaseInUnearnedPremiums
Amortization of Premiums and Discounts on Fixed Maturities 196us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments 183us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments 163us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments
Depreciation 54us-gaap_Depreciation 55us-gaap_Depreciation 54us-gaap_Depreciation
Realized Investment Gains, Net (369)us-gaap_GainLossOnInvestments (402)us-gaap_GainLossOnInvestments (193)us-gaap_GainLossOnInvestments
Other, Net (47)us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet (26)us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet 7us-gaap_IncreaseDecreaseInOtherOperatingCapitalNet
NET CASH PROVIDED BY OPERATING ACTIVITIES 2,153us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 1,731us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations 2,299us-gaap_NetCashProvidedByUsedInOperatingActivitiesContinuingOperations
Cash Flows from Investing Activities      
Proceeds from Fixed Maturities - Sales 4,229us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt 2,449us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt 2,271us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt
Proceeds from Fixed Maturities - Maturities, Calls and Redemptions 4,231us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities 4,909us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities 4,290us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities
Proceeds from Sales of Equity Securities 213us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity 545us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity 160us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity
Purchases of Fixed Maturities (9,987)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt (8,275)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt (7,247)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt
Purchases of Equity Securities (110)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity (113)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity (112)us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity
Investments in Other Invested Assets, Net 315us-gaap_PaymentsForProceedsFromLimitedPartnership 498us-gaap_PaymentsForProceedsFromLimitedPartnership 293us-gaap_PaymentsForProceedsFromLimitedPartnership
Decrease (Increase) in Short Term Investments, Net 780us-gaap_PaymentsForProceedsFromShortTermInvestments 383us-gaap_PaymentsForProceedsFromShortTermInvestments (629)us-gaap_PaymentsForProceedsFromShortTermInvestments
Change in Receivable or Payable from Security Transactions not Settled, Net 222cb_ChangeInNetPayableReceivableFromSecurityTransactionsNotSettled (86)cb_ChangeInNetPayableReceivableFromSecurityTransactionsNotSettled 45cb_ChangeInNetPayableReceivableFromSecurityTransactionsNotSettled
Purchases of Property and Equipment, Net (49)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (52)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment (43)us-gaap_PaymentsToAcquirePropertyPlantAndEquipment
Other, Net   (6)us-gaap_PaymentsForProceedsFromOtherInvestingActivities  
NET CASH PROVIDED BY (USED IN) INVESTING ACTIVITIES (156)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations 252us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations (972)us-gaap_NetCashProvidedByUsedInInvestingActivitiesContinuingOperations
Cash Flows from Financing Activities      
Repayment of Long Term Debt   (275)us-gaap_RepaymentsOfLongTermDebt  
Decrease in Funds Held under Deposit Contracts (2)us-gaap_IncreaseDecreaseInFundsHeldUnderReinsuranceAgreements (6)us-gaap_IncreaseDecreaseInFundsHeldUnderReinsuranceAgreements (12)us-gaap_IncreaseDecreaseInFundsHeldUnderReinsuranceAgreements
Proceeds from Issuance of Common Stock Under Stock-Based Employee Compensation Plans 22us-gaap_ProceedsFromStockPlans 38us-gaap_ProceedsFromStockPlans 74us-gaap_ProceedsFromStockPlans
Repurchase of Shares (1,547)us-gaap_PaymentsForRepurchaseOfCommonStock (1,288)us-gaap_PaymentsForRepurchaseOfCommonStock (959)us-gaap_PaymentsForRepurchaseOfCommonStock
Dividends Paid to Shareholders (475)us-gaap_PaymentsOfDividendsCommonStock (450)us-gaap_PaymentsOfDividendsCommonStock (438)us-gaap_PaymentsOfDividendsCommonStock
NET CASH USED IN FINANCING ACTIVITIES (2,002)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (1,981)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations (1,335)us-gaap_NetCashProvidedByUsedInFinancingActivitiesContinuingOperations
Net Increase (Decrease) in Cash (5)us-gaap_CashPeriodIncreaseDecrease 2us-gaap_CashPeriodIncreaseDecrease (8)us-gaap_CashPeriodIncreaseDecrease
Cash at Beginning of Year 52us-gaap_Cash 50us-gaap_Cash 58us-gaap_Cash
CASH AT END OF YEAR $ 47us-gaap_Cash $ 52us-gaap_Cash $ 50us-gaap_Cash