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FAIR VALUE (Quantitative Inputs and Assumptions Used in Determining the Fair Value of Items Categorized in Level 3) (Details) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Mar. 31, 2015
Dec. 31, 2014
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investment securities available-for-sale $ 9,519us-gaap_AvailableForSaleSecurities $ 9,065us-gaap_AvailableForSaleSecurities
Trading securities 266us-gaap_TradingSecurities 475us-gaap_TradingSecurities
Loss severity rate 30.00%us-gaap_FairValueInputsLossSeverity  
CLO securities [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Investment securities available-for-sale $ 8,447us-gaap_AvailableForSaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
$ 8,014us-gaap_AvailableForSaleSecurities
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
Loss severity rate 25.00%us-gaap_FairValueInputsLossSeverity
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
 
Constant prepayment rate - year one 30.00%rexi_FairValueInputsPrepaymentRateYearOne
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
 
Constant prepayment rate - year two 25.00%rexi_FairValueInputsPrepaymentRateYearTwo
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
 
Constant prepayment rate - thereafter 25.00%rexi_FairValueInputsPrepaymentRateYearThreeandThereafter
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
 
Reinvestment price on collateral   99.50%rexi_ReinvestmentPriceOnCollateral
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
Discount rates 13.00%us-gaap_FairValueInputsDiscountRate
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedDebtObligationsMember
 
Minimum [Member] | Collateralized Loan Obligations [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Constant default rate 0.00%us-gaap_FairValueInputsProbabilityOfDefault
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedLoanObligationsMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Reinvestment spread 0.00%rexi_FairValueInputsReinvestmentSpread
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedLoanObligationsMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Minimum [Member] | Trading securities [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Constant default rate 2.00%us-gaap_FairValueInputsProbabilityOfDefault
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_TradingAccountAssetsMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Constant prepayment rate 20.00%us-gaap_FairValueInputsPrepaymentRate
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_TradingAccountAssetsMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
 
Maximum [Member] | Collateralized Loan Obligations [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Constant default rate 2.00%us-gaap_FairValueInputsProbabilityOfDefault
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedLoanObligationsMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
 
Reinvestment spread 450.00%rexi_FairValueInputsReinvestmentSpread
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_CollateralizedLoanObligationsMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
 
Maximum [Member] | Trading securities [Member]    
Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]    
Constant default rate 9.00%us-gaap_FairValueInputsProbabilityOfDefault
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_TradingAccountAssetsMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
 
Constant prepayment rate 30.00%us-gaap_FairValueInputsPrepaymentRate
/ us-gaap_MajorTypesOfDebtAndEquitySecuritiesAxis
= us-gaap_TradingAccountAssetsMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember