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Fair Value Measures - Carrying Amounts and Estimated Fair Values of Company's Financial Instruments (Detail) (USD $)
In Thousands, unless otherwise specified
Mar. 31, 2015
Dec. 31, 2014
Mar. 31, 2014
Dec. 31, 2013
Financial assets        
Cash and cash equivalents $ 17,923us-gaap_CashAndCashEquivalentsAtCarryingValue $ 19,014us-gaap_CashAndCashEquivalentsAtCarryingValue $ 21,966us-gaap_CashAndCashEquivalentsAtCarryingValue $ 19,960us-gaap_CashAndCashEquivalentsAtCarryingValue
Securities available-for-sale 8,641us-gaap_AvailableForSaleSecurities 6,636us-gaap_AvailableForSaleSecurities    
Loans receivable, net 58,445us-gaap_LoansReceivableNet 61,858us-gaap_LoansReceivableNet    
FHLB stock 921us-gaap_FederalHomeLoanBankStock 921us-gaap_FederalHomeLoanBankStock    
Accrued interest receivable 197us-gaap_InterestReceivable 188us-gaap_InterestReceivable    
Financial liabilities        
Demand, money market, and savings 35,936bffi_DemandSavingsAndMoneyMarketDeposits 39,392bffi_DemandSavingsAndMoneyMarketDeposits    
Certificates of deposits 39,734us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits 40,566us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits    
Advances by borrowers for taxes and insurance 464us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance 682us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance    
Accrued interest payable 1bffi_AccruedInterestPayable      
Level 1 [Member]        
Financial assets        
Cash and cash equivalents 17,923us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
19,014us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Financial liabilities        
Demand, money market, and savings 35,936bffi_DemandSavingsAndMoneyMarketDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
39,392bffi_DemandSavingsAndMoneyMarketDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Advances by borrowers for taxes and insurance 464us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
682us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel1Member
   
Level 2 [Member]        
Financial assets        
Securities available-for-sale 8,641us-gaap_AvailableForSaleSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
6,636us-gaap_AvailableForSaleSecurities
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
   
Accrued interest receivable 19us-gaap_InterestReceivable
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
15us-gaap_InterestReceivable
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
   
Financial liabilities        
Certificates of deposits 39,734us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
40,566us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
   
Accrued interest payable 1bffi_AccruedInterestPayable
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel2Member
     
Level 3 [Member]        
Financial assets        
Loans receivable, net 58,445us-gaap_LoansReceivableNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
61,858us-gaap_LoansReceivableNet
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
   
Accrued interest receivable 178us-gaap_InterestReceivable
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
173us-gaap_InterestReceivable
/ us-gaap_FairValueByFairValueHierarchyLevelAxis
= us-gaap_FairValueInputsLevel3Member
   
Carrying Amount [Member]        
Financial assets        
Cash and cash equivalents 17,923us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
19,014us-gaap_CashAndCashEquivalentsAtCarryingValue
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Securities available-for-sale 8,641us-gaap_AvailableForSaleSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
6,636us-gaap_AvailableForSaleSecurities
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Loans receivable, net 57,951us-gaap_LoansReceivableNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
60,405us-gaap_LoansReceivableNet
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
FHLB stock 921us-gaap_FederalHomeLoanBankStock
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
921us-gaap_FederalHomeLoanBankStock
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Accrued interest receivable 197us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
188us-gaap_InterestReceivable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Financial liabilities        
Demand, money market, and savings 35,936bffi_DemandSavingsAndMoneyMarketDeposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
39,392bffi_DemandSavingsAndMoneyMarketDeposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Certificates of deposits 39,635us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
40,593us-gaap_InterestBearingDomesticDepositCertificatesOfDeposits
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Advances by borrowers for taxes and insurance 464us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
682us-gaap_AdvancePaymentsByBorrowersForTaxesAndInsurance
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember
   
Accrued interest payable $ 1bffi_AccruedInterestPayable
/ us-gaap_FairValueByMeasurementBasisAxis
= us-gaap_CarryingReportedAmountFairValueDisclosureMember