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Comprehensive Income and Accumulated Other Comprehensive Income (Loss) - Other Comprehensive Income (Detail) (USD $) In Thousands, unless otherwise specified | 12 Months Ended
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Dec. 31, 2014 | Dec. 31, 2013 | Dec. 31, 2012
Equity [Abstract] |  |  |
Unrealized gain (loss) on available-for-sale securities, Pre-tax Amount | $ 10,133 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax | $ (11,504)us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax | $ 2,555 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodBeforeTax
Change in unrealized losses on fixed maturity securities with OTTI, Pre-Tax Amount | 17 amsf_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForHeldToMaturitySecuritiesBeforeTax | 2 amsf_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForHeldToMaturitySecuritiesBeforeTax | 1 amsf_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForHeldToMaturitySecuritiesBeforeTax
Change in unrealized losses on equity securities with OTTI, Pre-Tax Amount |  | 416 amsf_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsBeforeTax |
Less amortization of differences between fair value and amortized cost for fixed maturity security transfer, Pre-tax Amount | (44)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesBeforeTax | (75)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesBeforeTax | (101)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesBeforeTax
Less reclassification adjustment for gains realized in net income, Pre-Tax Amount | 825 us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax | (30)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax | (1,279)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesBeforeTax
Net unrealized gain loss, Pre-Tax Amount | 10,931 amsf_UnrealizedGainLossOnSecuritiesBeforeTax | (11,191)amsf_UnrealizedGainLossOnSecuritiesBeforeTax | 1,176 amsf_UnrealizedGainLossOnSecuritiesBeforeTax
Other comprehensive income, Pre-Tax Amount | 10,931 us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent | (11,191)us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent | 1,176 us-gaap_OtherComprehensiveIncomeLossBeforeTaxPortionAttributableToParent
Unrealized gain loss on available-for-sale securities, Tax Expense | 3,546 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax | (4,027)us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax | 894 us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodTax
Change in unrealized losses on fixed maturity securities with OTTI, Tax Expense | 6 amsf_OtherThanTemporaryImpairmentGainsLossesInvestmentsPortionInOtherComprehensiveLossTaxPortionAttributableToParent | 1 amsf_OtherThanTemporaryImpairmentGainsLossesInvestmentsPortionInOtherComprehensiveLossTaxPortionAttributableToParent |
Change in unrealized losses on equity securities with OTTI, Tax Expense |  | 146 us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesTaxPortionAttributableToParent |
Less amortization of differences between fair value and amortized cost for fixed maturity security transfer, Tax Expense | (15)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesTax | (26)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesTax | (35)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesTax
Less reclassification adjustment for gains realized in net income, Tax Expense | 289 us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax | (11)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax | (447)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesTax
Net unrealized gain loss, Tax Expense | 3,826 amsf_UnrealizedGainLossOnSecuritiesTax | (3,917)amsf_UnrealizedGainLossOnSecuritiesTax | 412 amsf_UnrealizedGainLossOnSecuritiesTax
Other comprehensive income, Tax Expense | 3,826 us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1 | (3,917)us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1 | 412 us-gaap_OtherComprehensiveIncomeLossTaxPortionAttributableToParent1
Unrealized gain (loss) on available-for-sale securities, Net-of-Tax Amount | 6,587 amsf_OtherComprehensiveIncomeUnrealizedGainLossOnAvailableForSaleSecuritiesArisingDuringPeriodNetOfTax | (7,477)amsf_OtherComprehensiveIncomeUnrealizedGainLossOnAvailableForSaleSecuritiesArisingDuringPeriodNetOfTax | 1,661 amsf_OtherComprehensiveIncomeUnrealizedGainLossOnAvailableForSaleSecuritiesArisingDuringPeriodNetOfTax
Change in unrealized losses on fixed maturity securities with OTTI, Net-of-Tax Amount | 11 amsf_OtherThanTemporaryImpairmentGainsLossesInvestmentsPortionInOtherComprehensiveLossNetOftaxPortionAttributableToParent | 1 amsf_OtherThanTemporaryImpairmentGainsLossesInvestmentsPortionInOtherComprehensiveLossNetOftaxPortionAttributableToParent | 1 amsf_OtherThanTemporaryImpairmentGainsLossesInvestmentsPortionInOtherComprehensiveLossNetOftaxPortionAttributableToParent
Change in unrealized losses on equity securities with OTTI, Net-of-Tax Amount |  | 270 us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesAdjustmentNetOfTaxPortionAttributableToParent |
Less amortization of differences between fair value and amortized cost for fixed maturity security transfer, Net-of-Tax Amount | (29)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesNetOfTax | (49)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesNetOfTax | (66)amsf_OtherComprehensiveIncomeReclassificationAdjustmentForAvailableForSaleTransferredToHeldToMaturitySecuritiesNetOfTax
Reclassification adjustment for gains realized in net income, Net-of-Tax Amount | 536 us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax | (19)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax | (832)us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax
Net unrealized gain loss, Net-of-Tax Amount | 7,105 amsf_UnrealizedGainLossOnSecuritiesNetOfTax | (7,274)amsf_UnrealizedGainLossOnSecuritiesNetOfTax | 764 amsf_UnrealizedGainLossOnSecuritiesNetOfTax
Other comprehensive income, Net-of-Tax Amount | $ 7,105 us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent | $ (7,274)us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent | $ 764 us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent

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