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Schedule II. Condensed Financial Information of Registrant - Condensed Statements of Income (Detail) (USD $)
In Thousands, unless otherwise specified
3 Months Ended 12 Months Ended
Dec. 31, 2014
Sep. 30, 2014
Jun. 30, 2014
Mar. 31, 2014
Dec. 31, 2013
Sep. 30, 2013
Jun. 30, 2013
Mar. 31, 2013
Dec. 31, 2014
Dec. 31, 2013
Dec. 31, 2012
Revenues                      
Net investment income $ 7,166us-gaap_NetInvestmentIncome $ 6,495us-gaap_NetInvestmentIncome $ 6,845us-gaap_NetInvestmentIncome $ 6,708us-gaap_NetInvestmentIncome $ 6,763us-gaap_NetInvestmentIncome $ 6,947us-gaap_NetInvestmentIncome $ 6,649us-gaap_NetInvestmentIncome $ 6,670us-gaap_NetInvestmentIncome $ 27,214us-gaap_NetInvestmentIncome $ 27,029us-gaap_NetInvestmentIncome $ 27,018us-gaap_NetInvestmentIncome
Fee and other income                 361us-gaap_OtherIncome 534us-gaap_OtherIncome 562us-gaap_OtherIncome
Total revenues 104,886us-gaap_Revenues 102,336us-gaap_Revenues 100,624us-gaap_Revenues 96,173us-gaap_Revenues 94,309us-gaap_Revenues 88,003us-gaap_Revenues 87,511us-gaap_Revenues 86,512us-gaap_Revenues 404,019us-gaap_Revenues 356,335us-gaap_Revenues 321,248us-gaap_Revenues
Expenses                      
Interest expense                     566us-gaap_InterestExpense
Total expenses                 330,270us-gaap_BenefitsLossesAndExpenses 297,131us-gaap_BenefitsLossesAndExpenses 284,105us-gaap_BenefitsLossesAndExpenses
Income tax expense (benefit)                 20,083us-gaap_IncomeTaxExpenseBenefit 15,567us-gaap_IncomeTaxExpenseBenefit 7,790us-gaap_IncomeTaxExpenseBenefit
Net income 16,865us-gaap_NetIncomeLoss 13,479us-gaap_NetIncomeLoss 12,773us-gaap_NetIncomeLoss 10,549us-gaap_NetIncomeLoss 17,443us-gaap_NetIncomeLoss 9,699us-gaap_NetIncomeLoss 7,644us-gaap_NetIncomeLoss 8,851us-gaap_NetIncomeLoss 53,666us-gaap_NetIncomeLoss 43,637us-gaap_NetIncomeLoss 29,353us-gaap_NetIncomeLoss
Parent Company [Member]                      
Revenues                      
Net investment income                 1,541us-gaap_NetInvestmentIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
1,051us-gaap_NetInvestmentIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
571us-gaap_NetInvestmentIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Fee and other income                 5,368us-gaap_OtherIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
5,453us-gaap_OtherIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
4,765us-gaap_OtherIncome
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Total revenues                 6,909us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
6,504us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
5,336us-gaap_Revenues
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Expenses                      
Other operating costs                 6,909us-gaap_OtherCostAndExpenseOperating
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
6,504us-gaap_OtherCostAndExpenseOperating
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
4,770us-gaap_OtherCostAndExpenseOperating
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Interest expense                     566us-gaap_InterestExpense
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Total expenses                 6,909us-gaap_BenefitsLossesAndExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
6,504us-gaap_BenefitsLossesAndExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
5,336us-gaap_BenefitsLossesAndExpenses
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Income (loss) before income taxes and equity in earnings of subsidiaries                 0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
0us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesMinorityInterestAndIncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Income tax expense (benefit)                 (13)us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
6us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(9)us-gaap_IncomeTaxExpenseBenefit
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Gain (loss) before equity in earnings of subsidiaries                 13amsf_IncomeLossFromContinuingOperationsBeforeMinorityInterestAndIncomeLossFromEquityMethodInvestmentsNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
(6)amsf_IncomeLossFromContinuingOperationsBeforeMinorityInterestAndIncomeLossFromEquityMethodInvestmentsNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
9amsf_IncomeLossFromContinuingOperationsBeforeMinorityInterestAndIncomeLossFromEquityMethodInvestmentsNetOfTax
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Equity in net income of subsidiaries                 53,653us-gaap_IncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
43,643us-gaap_IncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
29,344us-gaap_IncomeLossFromEquityMethodInvestments
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
Net income                 $ 53,666us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 43,637us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember
$ 29,353us-gaap_NetIncomeLoss
/ dei_LegalEntityAxis
= us-gaap_ParentCompanyMember