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Securities Sold Under Repurchase Agreements (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Securities Sold Under Repurchase Agreements    
Average outstanding amount $ 893,830,000iboc_SecuritiesSoldUnderAgreementsToRepurchaseAverageOutstandingAmount $ 1,041,186,000iboc_SecuritiesSoldUnderAgreementsToRepurchaseAverageOutstandingAmount
Maximum amount outstanding at any month end 892,341,000iboc_SecuritiesSoldUnderAgreementsToRepurchaseMaximumOutstandingAmountAtAnyMonthEnd 1,119,531,000iboc_SecuritiesSoldUnderAgreementsToRepurchaseMaximumOutstandingAmountAtAnyMonthEnd
Collateral Securities and Repurchase Borrowing agreements    
Collateralized Securities, Book Value of Securities Sold 1,127,170,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts 1,313,637,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
Collateralized securities, Fair Value of Securities Sold 1,134,418,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue 1,317,998,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
Repurchase Borrowing, Balance of Liability 858,350,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase 957,381,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
Repurchase Borrowing, Weighted Average Interest Rate (as a percent) 2.79%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate 2.91%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
Overnight agreements    
Collateral Securities and Repurchase Borrowing agreements    
Collateralized Securities, Book Value of Securities Sold 366,731,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
332,042,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
Collateralized securities, Fair Value of Securities Sold 370,704,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
341,238,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
Repurchase Borrowing, Balance of Liability 236,077,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
209,899,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
Repurchase Borrowing, Weighted Average Interest Rate (as a percent) 0.16%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
0.17%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOvernightMember
1 to 29 days    
Collateral Securities and Repurchase Borrowing agreements    
Collateralized Securities, Book Value of Securities Sold 3,717,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
27,954,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
Collateralized securities, Fair Value of Securities Sold 3,781,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
28,288,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
Repurchase Borrowing, Balance of Liability 1,016,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
18,666,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
Repurchase Borrowing, Weighted Average Interest Rate (as a percent) 0.45%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
0.40%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityUpTo30DaysMember
30 to 90 days    
Collateral Securities and Repurchase Borrowing agreements    
Collateralized Securities, Book Value of Securities Sold 13,399,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
8,106,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
Collateralized securities, Fair Value of Securities Sold 13,628,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
8,263,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
Repurchase Borrowing, Balance of Liability 6,705,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
3,295,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
Repurchase Borrowing, Weighted Average Interest Rate (as a percent) 0.38%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
0.43%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_Maturity30To90DaysMember
Over 90 days    
Collateral Securities and Repurchase Borrowing agreements    
Collateralized Securities, Book Value of Securities Sold 743,323,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember
945,535,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseCarryingAmounts
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember
Collateralized securities, Fair Value of Securities Sold 746,305,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember
940,209,000us-gaap_AssetsSoldUnderAgreementsToRepurchaseMarketValue
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember
Repurchase Borrowing, Balance of Liability $ 614,552,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember
$ 725,521,000us-gaap_SecuritiesSoldUnderAgreementsToRepurchase
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember
Repurchase Borrowing, Weighted Average Interest Rate (as a percent) 3.83%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember
3.78%us-gaap_AssetsSoldUnderAgreementsToRepurchaseInterestRate
/ us-gaap_AssetsSoldUnderAgreementsToRepurchaseMaturityPeriodsAxis
= us-gaap_MaturityOver90DaysMember