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Income Taxes (Details 2) (USD $) In Thousands, unless otherwise specified	Dec. 31, 2014	Dec. 31, 2013
Deferred tax assets
Allowance for loan losses	$ 2,302us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsProvisionForLoanLosses	$ 2,368us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsProvisionForLoanLosses
OREO Writedowns/Expense		14rbnf_DeferredTaxAssetsOtherRealEstateOwnedWritedownsOrExpense
Net deferred loan fees	80rbnf_DeferredTaxAssetsNetDeferredLoanFees	93rbnf_DeferredTaxAssetsNetDeferredLoanFees
NOL carry over		535us-gaap_DeferredTaxAssetsOperatingLossCarryforwards
AMT credit carry over	542us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax	798us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax
Other	787us-gaap_DeferredTaxAssetsTaxDeferredExpenseOther	236us-gaap_DeferredTaxAssetsTaxDeferredExpenseOther
Deferred Tax Assets, Gross	3,711us-gaap_DeferredTaxAssetsGross	4,044us-gaap_DeferredTaxAssetsGross
Deferred tax liabilities
Depreciation	(995)rbnf_DeferredTaxLiabilitiesDepreciation	(1,031)rbnf_DeferredTaxLiabilitiesDepreciation
Mortgage servicing rights	(1,939)us-gaap_DeferredTaxLiabilitiesMortgageServicingRights	(1,761)us-gaap_DeferredTaxLiabilitiesMortgageServicingRights
Unrealized gains on available-for-sale securities	(473)rbnf_DeferredTaxLiabilitiesUnrealizedGainsOnAvailableForSaleSecurities	(38)rbnf_DeferredTaxLiabilitiesUnrealizedGainsOnAvailableForSaleSecurities
Purchase accounting adjustments	(1,319)rbnf_DeferredTaxLiabilitiesPurchaseAccountingAdjustments	(1,149)rbnf_DeferredTaxLiabilitiesPurchaseAccountingAdjustments
Prepaids	(277)us-gaap_DeferredTaxLiabilitiesPrepaidExpenses	(248)us-gaap_DeferredTaxLiabilitiesPrepaidExpenses
FHLB stock dividends	(466)us-gaap_DeferredTaxLiabilitiesOther	(466)us-gaap_DeferredTaxLiabilitiesOther
Deferred Tax Liabilities, Gross	(5,469)us-gaap_DeferredIncomeTaxLiabilities	(4,693)us-gaap_DeferredIncomeTaxLiabilities
Net deferred tax liability	$ (1,758)us-gaap_DeferredTaxAssetsNet	$ (649)us-gaap_DeferredTaxAssetsNet

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Deferred tax assets other real estate owned write-downs or expense.

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