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Note 15 - Share-Based and Other Compensation Plans (RSUs - Equity Settled) (Details) (USD $)
12 Months Ended
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Rights, Percentage 100.00%us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardAwardVestingRightsPercentage    
Timed-Vested RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period (in years) 3 years    
Restricted Stock Units (RSUs) [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee 872,356us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Unvested, Beginning of Period, Number of Shares 1,273,556us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Unvested, Beginning of Period, Weighted Average Grant-Date Fair Value Per Share 7.75us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Granted, Number of Shares 872,356us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Granted, Weighted Average Grant-Date Fair Value Per Share 14.97us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Vested, Number of Shares (31,599)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Vested, Weighted Average Grant-Date Fair Value Per Share 6.88us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsVestedInPeriodWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Forfeited, Number of Shares (57,717)us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Forfeited, Weighted Average Grant-Date Fair Value Per Share 14.22us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeituresWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Unvested, End of Period, Number of Shares 2,056,596us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedNumber
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Unvested, End of Period, Weighted Average Grant-Date Fair Value Per Share 10.65us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsNonvestedWeightedAverageGrantDateFairValue
/ us-gaap_AwardTypeAxis
= us-gaap_RestrictedStockUnitsRSUMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
2013 Award Year [Member] | Performance Based RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee   435,970us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Performance period   3 years  
Risk-free interest rate   0.40%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Volatility   81.80%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Dividend yield   0.07%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares   435,970us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
2013 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee   102,618us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares   102,618us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
2013 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member] | Key Employee [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee   13,260us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_KeyEmployeeMember
 
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares   13,260us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_KeyEmployeeMember
 
2013 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member] | Non-Employee Directors [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee   89,358us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_NonEmployeeDirectorsMember
 
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares   89,358us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_NonEmployeeDirectorsMember
 
2014 Award Year [Member] | Performance Based RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee 702,180us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Fair Value Assumptions and Methodology [Abstract]      
Performance period 3 years    
Risk-free interest rate 1.00%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Volatility 71.90%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Dividend yield 0.06%us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares 702,180us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
2014 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee 170,176us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares 170,176us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
2014 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member] | Key Employee [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee 85,133us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_KeyEmployeeMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares 85,133us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_KeyEmployeeMember
   
2014 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member] | Non-Employee Directors [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee 85,043us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_NonEmployeeDirectorsMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares 85,043us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_NonEmployeeDirectorsMember
   
2012 Award Year [Member] | Performance Based RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee     0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares     0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
2012 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee     558,216us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares     558,216us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
2012 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member] | Key Employee [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee     7,812us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_KeyEmployeeMember
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares     7,812us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_KeyEmployeeMember
2012 Award Year [Member] | Timed-Vested RSUs [Member] | Equity Settled [Member] | Non-Employee Directors [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee     550,404us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_NonEmployeeDirectorsMember
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares     550,404us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
/ us-gaap_TitleOfIndividualAxis
= rdn_NonEmployeeDirectorsMember
2014 and 2013 Award Years [Member] | Performance Based RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum Payout Percentage of Target Award 200.00%rdn_ShareBasedCompensationMaximumPayoutPercentageOfTargetAward
/ us-gaap_AwardDateAxis
= rdn_A2014and2013AwardYearsMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Share Based Compensation, Maximum Multiplier for Target Payout 6rdn_ShareBasedCompensationMaximumMultiplierforTargetPayout
/ us-gaap_AwardDateAxis
= rdn_A2014and2013AwardYearsMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Vesting period (in years) 3 years    
2014 and 2013 Award Years [Member] | Performance Based RSUs [Member] | Equity Settled [Member] | Minimum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Share-based Compensation, Total Shareholder Return 25.00%rdn_SharebasedCompensationTotalShareholderReturn
/ us-gaap_AwardDateAxis
= rdn_A2014and2013AwardYearsMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_RangeAxis
= us-gaap_MinimumMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
2014 and 2013 Award Years [Member] | Performance Based RSUs [Member] | Equity Settled [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Payout Percentage of Target Award When Absolute TSR is Negative 50.00%rdn_ShareBasedCompensationPayoutPercentageOfTargetAwardWhenAbsoluteTsrIsNegative
/ us-gaap_AwardDateAxis
= rdn_A2014and2013AwardYearsMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
   
Equity Compensation Plan, 2008 [Member] | Timed-Vested RSUs [Member] | Cash Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Vesting period (in years) 3 years 3 years 3 years
Equity Compensation Plan, 2008 [Member] | 2013 Award Year [Member] | Performance Based RSUs [Member] | Equity Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Maximum Payout Percentage of Target Award   200.00%rdn_ShareBasedCompensationMaximumPayoutPercentageOfTargetAward
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Share Based Compensation, Maximum Multiplier for Target Payout   6rdn_ShareBasedCompensationMaximumMultiplierforTargetPayout
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Vesting period (in years)   3 years  
Equity Compensation Plan, 2008 [Member] | 2013 Award Year [Member] | Performance Based RSUs [Member] | Equity Settled [Member] | Maximum [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Share-based Compensation Payout Percentage of Target Award When Absolute TSR is Negative   50.00%rdn_ShareBasedCompensationPayoutPercentageOfTargetAwardWhenAbsoluteTsrIsNegative
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ us-gaap_RangeAxis
= us-gaap_MaximumMember
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_EquitySettledMember
 
Equity Compensation Plan, 2008 [Member] | 2013 Award Year [Member] | Performance Based RSUs [Member] | Cash Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee   0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
 
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares   0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
 
Equity Compensation Plan, 2008 [Member] | 2013 Award Year [Member] | Timed-Vested RSUs [Member] | Cash Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee   7,670us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
 
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares   7,670us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2013AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
 
Equity Compensation Plan, 2008 [Member] | 2014 Award Year [Member] | Performance Based RSUs [Member] | Cash Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares 0us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
   
Equity Compensation Plan, 2008 [Member] | 2014 Award Year [Member] | Timed-Vested RSUs [Member] | Cash Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee 1,470us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
   
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares 1,470us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2014AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
   
Equity Compensation Plan, 2008 [Member] | 2012 Award Year [Member] | Performance Based RSUs [Member] | Cash Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee     2,211,640us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
Maximum Payout Percentage of Target Award 200.00%rdn_ShareBasedCompensationMaximumPayoutPercentageOfTargetAward
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
   
Vesting period (in years) 3 years    
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares     2,211,640us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_PerformanceBasedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
Equity Compensation Plan, 2008 [Member] | 2012 Award Year [Member] | Timed-Vested RSUs [Member] | Cash Settled [Member]      
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]      
Grants by Compensation Committee     151,154us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember
Share-based Compensation Arrangement by Share-based Payment Award, Equity Instruments Other than Options, Nonvested, Number of Shares [Roll Forward]      
Granted, Number of Shares     151,154us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod
/ us-gaap_AwardDateAxis
= rdn_A2012AwardYearMember
/ us-gaap_AwardTypeAxis
= rdn_TimedVestedRsusMember
/ us-gaap_PlanNameAxis
= rdn_EquityCompensationPlan2008Member
/ rdn_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardSettlementTypeAxis
= rdn_CashSettledMember