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Income Taxes - Components of deferred tax assets and liabilities (Details) (USD $)
In Thousands, unless otherwise specified
Dec. 31, 2014
Dec. 31, 2013
Deferred income tax assets:    
Net operating loss $ 12,017us-gaap_DeferredTaxAssetsOperatingLossCarryforwards $ 15,294us-gaap_DeferredTaxAssetsOperatingLossCarryforwards
AMT credit carryforward 5,309us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax 14,456us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsAlternativeMinimumTax
Discounting of net loss reserves 63,880us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves 53,293us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsLossReserves
Net unearned premium reserve 34,087us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve 30,698us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsUnearnedPremiumsReserve
Compensation liabilities 27,765us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits 26,481us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefits
Foreign tax credit carryforward 4,628us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsForeign 4,343us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsForeign
Interest expense 5,208us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther 6,049us-gaap_DeferredTaxAssetsTaxDeferredExpenseReservesAndAccrualsOther
Goodwill 885us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets 0us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets
Tax and loss bonds 21,247us-gaap_DeferredTaxAssetsOther 0us-gaap_DeferredTaxAssetsOther
Other, net 13,408us-gaap_DeferredTaxAssetsTaxDeferredExpenseOther 13,347us-gaap_DeferredTaxAssetsTaxDeferredExpenseOther
Deferred tax assets before valuation allowance 188,434us-gaap_DeferredTaxAssetsGross 163,961us-gaap_DeferredTaxAssetsGross
Valuation allowance (12,624)us-gaap_DeferredTaxAssetsValuationAllowance (15,548)us-gaap_DeferredTaxAssetsValuationAllowance
Deferred tax assets net of valuation allowance 175,810us-gaap_DeferredTaxAssetsNet 148,413us-gaap_DeferredTaxAssetsNet
Deferred income tax liabilities:    
Depreciation and amortization (7,579)us-gaap_DeferredTaxLiabilitiesOtherFiniteLivedAssets (3,810)us-gaap_DeferredTaxLiabilitiesOtherFiniteLivedAssets
Deferred acquisition costs, net (2,744)us-gaap_DeferredTaxLiabilitiesDeferredExpenseOtherCapitalizedCosts (3,369)us-gaap_DeferredTaxLiabilitiesDeferredExpenseOtherCapitalizedCosts
Deposit accounting liability (4,170)us-gaap_DeferredTaxLiabilitiesTaxDeferredIncome (4,581)us-gaap_DeferredTaxLiabilitiesTaxDeferredIncome
Contingency reserve (18,480)acgl_DeferredTaxLiabilityContingencyReserve 0acgl_DeferredTaxLiabilityContingencyReserve
Net unrealized appreciation of investments (11,695)us-gaap_DeferredTaxLiabilitiesOtherComprehensiveIncome (6,354)us-gaap_DeferredTaxLiabilitiesOtherComprehensiveIncome
Other, net (150)us-gaap_DeferredTaxLiabilitiesOther (1,738)us-gaap_DeferredTaxLiabilitiesOther
Total deferred tax liabilities (44,818)us-gaap_DeferredIncomeTaxLiabilities (19,852)us-gaap_DeferredIncomeTaxLiabilities
Net deferred income tax assets $ 130,992us-gaap_DeferredTaxAssetsLiabilitiesNet $ 128,561us-gaap_DeferredTaxAssetsLiabilitiesNet