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Income Taxes (Details) (USD $)
3 Months Ended 12 Months Ended
Mar. 31, 2015
Mar. 31, 2014
Dec. 31, 2007
Dec. 31, 2014
Tax provision (benefit) [Abstract]        
Provision for income tax $ 47,883,000mtg_IncomeTaxExpenseBenefitExcludingChangeInDeferredTaxValuationAllowance $ 23,120,000mtg_IncomeTaxExpenseBenefitExcludingChangeInDeferredTaxValuationAllowance    
Change in valuation allowance (44,498,000)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount (22,394,000)us-gaap_ValuationAllowanceDeferredTaxAssetChangeInAmount    
Provision for income taxes 3,385,000us-gaap_IncomeTaxExpenseBenefit 726,000us-gaap_IncomeTaxExpenseBenefit    
Change in deferred tax valuation allowance, included in other comprehensive income 6,500,000mtg_ChangeInDeferredTaxValuationAllowanceIncludedInOtherComprehensiveIncome 13,300,000mtg_ChangeInDeferredTaxValuationAllowanceIncludedInOtherComprehensiveIncome    
Valuation allowance 851,300,000us-gaap_DeferredTaxAssetsValuationAllowance     902,300,000us-gaap_DeferredTaxAssetsValuationAllowance
Net operating loss carryforwards, regular tax basis 2,300,000,000us-gaap_OperatingLossCarryforwards      
Net operating loss carryforwards for computing the alternative minimum tax 1,400,000,000mtg_OperatingLossCarryforwardsAlternativeMinimumTax      
Information regarding income tax examinations [Abstract]        
Amount of IRS assessment for unpaid taxes and penalties related to REMIC issue 197,500,000mtg_AmountOfIRSAssessment      
Estimate of federal interest that may be due 171,900,000mtg_EstimateOfFederalInterestThatMayBeDue      
Amount of payment made related to the IRS assessment on the REMIC issue     65,200,000mtg_PaymentOnIrsAssessmentRelatedToRemicIssue  
Estimate of additional state income taxes and interest that may be due 47,700,000mtg_EstimateOfAdditionalStateIncomeTaxesAndInterestThatMayBeDue      
Amount of IRS assessment for unpaid taxes and penalties related to disallowance of carryback of 2009 net operating loss 261,400,000mtg_AmountOfIRSAssessmentRelatedToDisallowanceOfCarryback      
Total amount of unrecognized tax benefits 106,400,000us-gaap_UnrecognizedTaxBenefits      
Total amount of the unrecognized tax benefits that would affect our effective tax rate 93,800,000us-gaap_UnrecognizedTaxBenefitsThatWouldImpactEffectiveTaxRate      
Unrecognized tax benefits, accrued interest $ 27,100,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued     $ 26,900,000us-gaap_UnrecognizedTaxBenefitsInterestOnIncomeTaxesAccrued