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Fair Value Measurements (Details 3) (USD $)
3 Months Ended 12 Months Ended
Mar. 31, 2015
Dec. 31, 2014
Assets:    
Impaired Loans $ 64,891,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure $ 65,551,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Charges to allowance for probable loan losses in connection with other real estate owned 0iboc_AllowanceForLoanAndLeaseLossesPeriodIncreaseDecreaseLoansTransferredToOtherRealEstateOwned 367,000iboc_AllowanceForLoanAndLeaseLossesPeriodIncreaseDecreaseLoansTransferredToOtherRealEstateOwned
Adjustment to fair value in connection with other real estate owned 17,000iboc_AllowanceForLoanLeaseLossesWriteOffsPriorToForeclosure 597,000iboc_AllowanceForLoanLeaseLossesWriteOffsPriorToForeclosure
Impaired commercial collateral dependent loans 64,891,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure 65,551,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
Impaired commercial collateral dependent receivables appraisals to determine fair value within immediately preceding twelve months 50,342,000iboc_ImpairedCommercialCollateralFinancingReceivableAppraisalsToDetermineFairValue 52,092,000iboc_ImpairedCommercialCollateralFinancingReceivableAppraisalsToDetermineFairValue
Impaired collateral dependent commercial loans with an internal evaluation completed in the last twelve months 3,001,000iboc_ImpairedCollateralDependentCommercialLoansWithInternalEvaluationCompletedWithinLastTwelveMonths 5,307,000iboc_ImpairedCollateralDependentCommercialLoansWithInternalEvaluationCompletedWithinLastTwelveMonths
Significant Unobservable Inputs (Level 3) | Bond meeting the original contract terms    
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Minimum period of residential mortgage loan performance under original contract terms 24 months 24 months
Estimated future principal prepayment rate assumption, low end of range (as a percent) 7.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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7.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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Default rate assumptions (as a percent) 1.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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1.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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Loss severity rate assumptions, first year (as a percent) 25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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Estimated future principal prepayment rate assumption, discount rate (as a percent) 13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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Significant Unobservable Inputs (Level 3) | Bond not meeting the original contract terms    
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Estimated future principal prepayment rate assumption, low end of range (as a percent) 2.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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2.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentRatesLowEndOfRange
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Default rate assumptions (as a percent) 4.50%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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4.50%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDefaultRates
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Loss severity rate assumptions, first year (as a percent) 60.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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60.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesForFirstYear
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Decrease in loss severity rates, following five years (as a percent) 5.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDeclineInLossSeverityRatesForFollowingFifthYear
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5.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsDeclineInLossSeverityRatesForFollowingFifthYear
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Loss severity rate, thereafter (as a percent) 25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesThereafter
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25.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsLossSeverityRatesThereafter
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Estimated future principal prepayment rate assumption, discount rate (as a percent) 13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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13.00%iboc_FairValueMeasurementsDiscountedCashFlowModelAssumptionsFuturePrincipalPrepaymentDiscountRate
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Measured on a non-recurring basis:    
Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Change in net provision, impaired loans 1,503,000iboc_ChangeInProvisionOfImpairedFinancingReceivableFairValueDisclosure
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(1,557,000)iboc_ChangeInProvisionOfImpairedFinancingReceivableFairValueDisclosure
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Change in net provision, other real estate owned 17,000iboc_ChangeInProvisionOfOtherRealEstateAndForeclosedAssetsInUse
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597,000iboc_ChangeInProvisionOfOtherRealEstateAndForeclosedAssetsInUse
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Measured on a non-recurring basis: | Assets/Liabilities Measured at Fair Value    
Assets:    
Impaired Loans 28,630,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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Non-financial assets:    
Other real estate owned 155,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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6,112,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Impaired commercial collateral dependent loans 28,630,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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Measured on a non-recurring basis: | Significant Unobservable Inputs (Level 3)    
Assets:    
Impaired Loans 28,630,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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Non-financial assets:    
Other real estate owned 155,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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6,112,000iboc_OtherRealEstateAndForeclosedAssetsInUse
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Assumptions used in discounted cash flow model to determine fair value of investments classified within level 3    
Impaired commercial collateral dependent loans $ 28,630,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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$ 29,501,000iboc_ImpairedFinancingReceivableRecordedInvestmentFairValueDisclosure
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