<?xml version="1.0" encoding="US-ASCII"?>
<!--XBRL Document Created with Wdesk from Workiva-->
<!-- -->
<link:linkbase xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
  <link:roleRef roleURI="http://www.afginc.com/role/AccountingPolicies" xlink:href="afg-20190630.xsd#AccountingPolicies" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/AccountingPoliciesNarrativeDetails" xlink:href="afg-20190630.xsd#AccountingPoliciesNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/AccountingPoliciesPolicies" xlink:href="afg-20190630.xsd#AccountingPoliciesPolicies" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/AcquisitionOfBusiness" xlink:href="afg-20190630.xsd#AcquisitionOfBusiness" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/AcquisitionOfBusinessNarrativeDetails" xlink:href="afg-20190630.xsd#AcquisitionOfBusinessNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ConsolidatedBalanceSheetUnaudited" xlink:href="afg-20190630.xsd#ConsolidatedBalanceSheetUnaudited" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ConsolidatedBalanceSheetUnauditedParenthetical" xlink:href="afg-20190630.xsd#ConsolidatedBalanceSheetUnauditedParenthetical" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ConsolidatedStatementOfCashFlowsUnaudited" xlink:href="afg-20190630.xsd#ConsolidatedStatementOfCashFlowsUnaudited" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ConsolidatedStatementOfChangesInEquityUnaudited" xlink:href="afg-20190630.xsd#ConsolidatedStatementOfChangesInEquityUnaudited" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ConsolidatedStatementOfChangesInEquityUnauditedParenthetical" xlink:href="afg-20190630.xsd#ConsolidatedStatementOfChangesInEquityUnauditedParenthetical" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ConsolidatedStatementOfComprehensiveIncomeUnaudited" xlink:href="afg-20190630.xsd#ConsolidatedStatementOfComprehensiveIncomeUnaudited" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ConsolidatedStatementOfEarningsUnaudited" xlink:href="afg-20190630.xsd#ConsolidatedStatementOfEarningsUnaudited" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/Contingencies" xlink:href="afg-20190630.xsd#Contingencies" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DeferredPolicyAcquisitionCosts" xlink:href="afg-20190630.xsd#DeferredPolicyAcquisitionCosts" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DeferredPolicyAcquisitionCostsNarrativeDetails" xlink:href="afg-20190630.xsd#DeferredPolicyAcquisitionCostsNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DeferredPolicyAcquisitionCostsProgressionOfDeferredPolicyAcquisitionCostsDetails" xlink:href="afg-20190630.xsd#DeferredPolicyAcquisitionCostsProgressionOfDeferredPolicyAcquisitionCostsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DeferredPolicyAcquisitionCostsTables" xlink:href="afg-20190630.xsd#DeferredPolicyAcquisitionCostsTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/Derivatives" xlink:href="afg-20190630.xsd#Derivatives" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DerivativesDerivativesThatDoNotQualifyForHedgeAccountingUnderGaapIncludedInBalanceSheetAtFairValueDetails" xlink:href="afg-20190630.xsd#DerivativesDerivativesThatDoNotQualifyForHedgeAccountingUnderGaapIncludedInBalanceSheetAtFairValueDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DerivativesGainLossIncludedInStatementOfEarningsForChangesInFairValueOfDerivativesThatDoNotQualifyForHedgeAccountingDetails" xlink:href="afg-20190630.xsd#DerivativesGainLossIncludedInStatementOfEarningsForChangesInFairValueOfDerivativesThatDoNotQualifyForHedgeAccountingDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DerivativesNarrativeDetails" xlink:href="afg-20190630.xsd#DerivativesNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DerivativesTables" xlink:href="afg-20190630.xsd#DerivativesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/DocumentAndEntityInformation" xlink:href="afg-20190630.xsd#DocumentAndEntityInformation" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurements" xlink:href="afg-20190630.xsd#FairValueMeasurements" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurementsAssetsAndLiabilitiesMeasuredAndCarriedAtFairValueInFinancialStatementsDetails" xlink:href="afg-20190630.xsd#FairValueMeasurementsAssetsAndLiabilitiesMeasuredAndCarriedAtFairValueInFinancialStatementsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurementsCarryingValueAndFairValueOfFinancialInstrumentsDetails" xlink:href="afg-20190630.xsd#FairValueMeasurementsCarryingValueAndFairValueOfFinancialInstrumentsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurementsChangesInBalancesOfLevel3FinancialAssetsCarriedAtFairValueDetails" xlink:href="afg-20190630.xsd#FairValueMeasurementsChangesInBalancesOfLevel3FinancialAssetsCarriedAtFairValueDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurementsChangesInBalancesOfLevel3FinancialLiabilitiesCarriedAtFairValueDetails" xlink:href="afg-20190630.xsd#FairValueMeasurementsChangesInBalancesOfLevel3FinancialLiabilitiesCarriedAtFairValueDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurementsNarrativeDetails" xlink:href="afg-20190630.xsd#FairValueMeasurementsNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurementsTables" xlink:href="afg-20190630.xsd#FairValueMeasurementsTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/FairValueMeasurementsUnobservableInputsUsedInDeterminingFairValueOfEmbeddedDerivativesDetails" xlink:href="afg-20190630.xsd#FairValueMeasurementsUnobservableInputsUsedInDeterminingFairValueOfEmbeddedDerivativesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/GoodwillAndOtherIntangibles" xlink:href="afg-20190630.xsd#GoodwillAndOtherIntangibles" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/GoodwillAndOtherIntangiblesNarrativeDetails" xlink:href="afg-20190630.xsd#GoodwillAndOtherIntangiblesNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/IncomeTaxes" xlink:href="afg-20190630.xsd#IncomeTaxes" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/IncomeTaxesNarrativeDetails" xlink:href="afg-20190630.xsd#IncomeTaxesNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/IncomeTaxesReconciliationOfIncomeTaxesAtStatutoryRateToProvisionForIncomeTaxesDetails" xlink:href="afg-20190630.xsd#IncomeTaxesReconciliationOfIncomeTaxesAtStatutoryRateToProvisionForIncomeTaxesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/IncomeTaxesTables" xlink:href="afg-20190630.xsd#IncomeTaxesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/Insurance" xlink:href="afg-20190630.xsd#Insurance" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InsuranceAnalysisOfChangesInLiabilityForLossesAndLossAdjustmentExpensesNetOfReinsuranceDetails" xlink:href="afg-20190630.xsd#InsuranceAnalysisOfChangesInLiabilityForLossesAndLossAdjustmentExpensesNetOfReinsuranceDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InsuranceTables" xlink:href="afg-20190630.xsd#InsuranceTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/Investments" xlink:href="afg-20190630.xsd#Investments" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsAvailableForSaleFixedMaturitiesDetails" xlink:href="afg-20190630.xsd#InvestmentsAvailableForSaleFixedMaturitiesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsComponentsOfNetUnrealizedGainOnSecuritiesThatIsIncludedInAociInBalanceSheetDetails" xlink:href="afg-20190630.xsd#InvestmentsComponentsOfNetUnrealizedGainOnSecuritiesThatIsIncludedInAociInBalanceSheetDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsCreditPortionOfOtherThanTemporaryImpairmentsOnFixedMaturitiesForWhichNonCreditPortionOfImpairmentHasBeenRecognizedInOciDetails" xlink:href="afg-20190630.xsd#InvestmentsCreditPortionOfOtherThanTemporaryImpairmentsOnFixedMaturitiesForWhichNonCreditPortionOfImpairmentHasBeenRecognizedInOciDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsEquitySecuritiesReportedAtFairValueDetails" xlink:href="afg-20190630.xsd#InvestmentsEquitySecuritiesReportedAtFairValueDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsGrossRealizedGainsAndLossesOnAvailableForSaleFixedMaturityInvestmentTransactionsDetails" xlink:href="afg-20190630.xsd#InvestmentsGrossRealizedGainsAndLossesOnAvailableForSaleFixedMaturityInvestmentTransactionsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsGrossUnrealizedLossesOnSecuritiesByInvestmentCategoryAndLengthOfTimeThatHaveBeenInContinuousUnrealizedLossPositionDetails" xlink:href="afg-20190630.xsd#InvestmentsGrossUnrealizedLossesOnSecuritiesByInvestmentCategoryAndLengthOfTimeThatHaveBeenInContinuousUnrealizedLossPositionDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsHoldingGainsLossesOnEquitySecuritiesStillHeldDetails" xlink:href="afg-20190630.xsd#InvestmentsHoldingGainsLossesOnEquitySecuritiesStillHeldDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsNarrativeDetails" xlink:href="afg-20190630.xsd#InvestmentsNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsRealizedGainsLossesAndChangesInUnrealizedAppreciationDepreciationRelatedToFixedMaturityAndEquitySecurityInvestmentsDetails" xlink:href="afg-20190630.xsd#InvestmentsRealizedGainsLossesAndChangesInUnrealizedAppreciationDepreciationRelatedToFixedMaturityAndEquitySecurityInvestmentsDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsScheduleOfSourcesOfNetInvestmentIncomeDetails" xlink:href="afg-20190630.xsd#InvestmentsScheduleOfSourcesOfNetInvestmentIncomeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsScheduledMaturitiesOfAvailableForSaleFixedMaturitiesDetails" xlink:href="afg-20190630.xsd#InvestmentsScheduledMaturitiesOfAvailableForSaleFixedMaturitiesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/InvestmentsTables" xlink:href="afg-20190630.xsd#InvestmentsTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/Leases" xlink:href="afg-20190630.xsd#Leases" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LeasesLeaseActivityDetails" xlink:href="afg-20190630.xsd#LeasesLeaseActivityDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LeasesNarrativeDetails" xlink:href="afg-20190630.xsd#LeasesNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LeasesTables" xlink:href="afg-20190630.xsd#LeasesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LeasesUndiscountedContractualMaturitiesOfOperatingLeaseLiabilitiesDetails" xlink:href="afg-20190630.xsd#LeasesUndiscountedContractualMaturitiesOfOperatingLeaseLiabilitiesDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LongTermDebt" xlink:href="afg-20190630.xsd#LongTermDebt" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LongTermDebtNarrativeDetails" xlink:href="afg-20190630.xsd#LongTermDebtNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LongTermDebtScheduleOfLongTermDebtDetails" xlink:href="afg-20190630.xsd#LongTermDebtScheduleOfLongTermDebtDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/LongTermDebtTables" xlink:href="afg-20190630.xsd#LongTermDebtTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ManagedInvestmentEntities" xlink:href="afg-20190630.xsd#ManagedInvestmentEntities" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ManagedInvestmentEntitiesNarrativeDetails" xlink:href="afg-20190630.xsd#ManagedInvestmentEntitiesNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ManagedInvestmentEntitiesSelectedFinancialInformationRelatedToClosDetails" xlink:href="afg-20190630.xsd#ManagedInvestmentEntitiesSelectedFinancialInformationRelatedToClosDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ManagedInvestmentEntitiesTables" xlink:href="afg-20190630.xsd#ManagedInvestmentEntitiesTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/SegmentsOfOperations" xlink:href="afg-20190630.xsd#SegmentsOfOperations" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/SegmentsOfOperationsEarningsBeforeIncomeTaxesBySegmentAndSubSegmentDetails" xlink:href="afg-20190630.xsd#SegmentsOfOperationsEarningsBeforeIncomeTaxesBySegmentAndSubSegmentDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/SegmentsOfOperationsNarrativeDetails" xlink:href="afg-20190630.xsd#SegmentsOfOperationsNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/SegmentsOfOperationsRevenuesBySegmentAndSubSegmentDetails" xlink:href="afg-20190630.xsd#SegmentsOfOperationsRevenuesBySegmentAndSubSegmentDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/SegmentsOfOperationsTables" xlink:href="afg-20190630.xsd#SegmentsOfOperationsTables" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ShareholdersEquity" xlink:href="afg-20190630.xsd#ShareholdersEquity" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ShareholdersEquityNarrativeDetails" xlink:href="afg-20190630.xsd#ShareholdersEquityNarrativeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ShareholdersEquityPreferredStockAuthorizedForIssuanceDetails" xlink:href="afg-20190630.xsd#ShareholdersEquityPreferredStockAuthorizedForIssuanceDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ShareholdersEquityProgressionOfComponentsOfAccumulatedOtherComprehensiveIncomeDetails" xlink:href="afg-20190630.xsd#ShareholdersEquityProgressionOfComponentsOfAccumulatedOtherComprehensiveIncomeDetails" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ShareholdersEquityProgressionOfComponentsOfAccumulatedOtherComprehensiveIncomeDetailsCalc2" xlink:href="afg-20190630.xsd#ShareholdersEquityProgressionOfComponentsOfAccumulatedOtherComprehensiveIncomeDetailsCalc2" xlink:type="simple" />
  <link:roleRef roleURI="http://www.afginc.com/role/ShareholdersEquityTables" xlink:href="afg-20190630.xsd#ShareholdersEquityTables" xlink:type="simple" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/AccountingPolicies" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/AccountingPoliciesNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/AccountingPoliciesPolicies" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/AcquisitionOfBusiness" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/AcquisitionOfBusinessNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ConsolidatedBalanceSheetUnaudited" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Assets" xlink:label="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_InvestmentsAndCash" xlink:label="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_1de780cc-9607-daa3-0bed-03c88ae94769" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_1de780cc-9607-daa3-0bed-03c88ae94769" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_e562c48b-3e99-2c57-8e96-c3b81056b58c" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_e562c48b-3e99-2c57-8e96-c3b81056b58c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_TradingSecuritiesDebt" xlink:label="loc_us-gaap_TradingSecuritiesDebt_9c5a3d13-80f5-6ac1-a1b0-912f20b46987" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_TradingSecuritiesDebt_9c5a3d13-80f5-6ac1-a1b0-912f20b46987" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EquitySecuritiesFvNi" xlink:label="loc_us-gaap_EquitySecuritiesFvNi_c88e6350-e26e-969b-2f36-fb6881edab88" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_EquitySecuritiesFvNi_c88e6350-e26e-969b-2f36-fb6881edab88" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EquityMethodInvestments" xlink:label="loc_us-gaap_EquityMethodInvestments_ed3f9f23-c931-eaa1-1c75-4ff1fe970e7d" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_EquityMethodInvestments_ed3f9f23-c931-eaa1-1c75-4ff1fe970e7d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet" xlink:label="loc_us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_2c6ef9ce-a886-ed19-8544-f0004ce97e8b" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_2c6ef9ce-a886-ed19-8544-f0004ce97e8b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LoansInsurancePolicy" xlink:label="loc_us-gaap_LoansInsurancePolicy_396e972d-2864-74e7-02db-5f891bff6a6f" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_LoansInsurancePolicy_396e972d-2864-74e7-02db-5f891bff6a6f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DerivativeAssets" xlink:label="loc_us-gaap_DerivativeAssets_05d1a9f5-40b5-5876-afca-b2b8e7f078c9" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_DerivativeAssets_05d1a9f5-40b5-5876-afca-b2b8e7f078c9" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherInvestments" xlink:label="loc_us-gaap_OtherInvestments_83cb8fda-8368-0bfc-07a8-e25c618c7b71" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsAndCash_4581e6b5-b1f9-10fd-4ae1-cdbd5ce39316" xlink:to="loc_us-gaap_OtherInvestments_83cb8fda-8368-0bfc-07a8-e25c618c7b71" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses" xlink:label="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_45d937f3-fe21-6413-7d8d-eb2e21c7d762" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_45d937f3-fe21-6413-7d8d-eb2e21c7d762" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PrepaidReinsurancePremiums" xlink:label="loc_us-gaap_PrepaidReinsurancePremiums_83169329-6715-22ed-9b09-d303c5de8b33" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_PrepaidReinsurancePremiums_83169329-6715-22ed-9b09-d303c5de8b33" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PremiumsReceivableAtCarryingValue" xlink:label="loc_us-gaap_PremiumsReceivableAtCarryingValue_82058bad-06da-019a-216a-114ac6e1abf8" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_PremiumsReceivableAtCarryingValue_82058bad-06da-019a-216a-114ac6e1abf8" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired_bf10c951-0761-bd44-2fc6-b234a26982d4" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostsAndValueOfBusinessAcquired_bf10c951-0761-bd44-2fc6-b234a26982d4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets" xlink:label="loc_us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets_a6bdeb6e-fd3f-8322-2115-513d0dfb4e6a" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_VariableInterestEntityConsolidatedCarryingAmountAssets_a6bdeb6e-fd3f-8322-2115-513d0dfb4e6a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherReceivables" xlink:label="loc_us-gaap_OtherReceivables_2b6786f7-f0ac-ae2d-8636-dfa89d5d2aa6" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_OtherReceivables_2b6786f7-f0ac-ae2d-8636-dfa89d5d2aa6" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_SeparateAccountAssets" xlink:label="loc_us-gaap_SeparateAccountAssets_5d6a8e53-9bcb-07e2-2882-da742763937f" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_SeparateAccountAssets_5d6a8e53-9bcb-07e2-2882-da742763937f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherAssets" xlink:label="loc_us-gaap_OtherAssets_53a34e15-d375-c4e0-c5cf-68e055eee5e5" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_OtherAssets_53a34e15-d375-c4e0-c5cf-68e055eee5e5" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Goodwill" xlink:label="loc_us-gaap_Goodwill_37b440e2-656c-b624-0688-b7cf681bf981" xlink:type="locator" />
    <link:calculationArc order="10" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_17ef3f41-42f7-52c0-cba1-93e7e0e1116a" xlink:to="loc_us-gaap_Goodwill_37b440e2-656c-b624-0688-b7cf681bf981" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquity" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_d7f1ad03-6ed4-706a-15fc-eae794dee33a" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Liabilities" xlink:label="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_d7f1ad03-6ed4-706a-15fc-eae794dee33a" xlink:to="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_LiabilityForLifeAccidentandHealthReserves" xlink:label="loc_afg_LiabilityForLifeAccidentandHealthReserves_c6b651e8-aa6b-3cfd-e43e-f6a5cd25f43d" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_afg_LiabilityForLifeAccidentandHealthReserves_c6b651e8-aa6b-3cfd-e43e-f6a5cd25f43d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability_57edbe23-c631-f7f8-7129-4fb25f464ae0" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpensePropertyCasualtyLiability_57edbe23-c631-f7f8-7129-4fb25f464ae0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilityForFuturePolicyBenefitsIndividualAndGroupAnnuitiesAndSupplementaryContracts" xlink:label="loc_us-gaap_LiabilityForFuturePolicyBenefitsIndividualAndGroupAnnuitiesAndSupplementaryContracts_cbd7aeea-f351-79b5-920f-7850762a39b9" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_LiabilityForFuturePolicyBenefitsIndividualAndGroupAnnuitiesAndSupplementaryContracts_cbd7aeea-f351-79b5-920f-7850762a39b9" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_UnearnedPremiums" xlink:label="loc_us-gaap_UnearnedPremiums_1f6f3cde-87b1-2c7b-c8d1-cd12a39b021a" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_UnearnedPremiums_1f6f3cde-87b1-2c7b-c8d1-cd12a39b021a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ReinsurancePayable" xlink:label="loc_us-gaap_ReinsurancePayable_77aef4df-8c75-4187-f204-adcf0e364b98" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_ReinsurancePayable_77aef4df-8c75-4187-f204-adcf0e364b98" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities" xlink:label="loc_us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities_91d2ae1b-4302-fa20-e8c0-01a847b41053" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_VariableInterestEntityConsolidatedCarryingAmountLiabilities_91d2ae1b-4302-fa20-e8c0-01a847b41053" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LongTermDebt" xlink:label="loc_us-gaap_LongTermDebt_a2f199ce-3001-c200-d488-633bc54206dc" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_LongTermDebt_a2f199ce-3001-c200-d488-633bc54206dc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_SeparateAccountsLiability" xlink:label="loc_us-gaap_SeparateAccountsLiability_a9c5f193-4162-ef86-5a07-6517ec488402" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_SeparateAccountsLiability_a9c5f193-4162-ef86-5a07-6517ec488402" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherLiabilities" xlink:label="loc_us-gaap_OtherLiabilities_ff0e0b1b-b140-8889-cbc7-6f0d76651556" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_44863786-cbc4-bac4-e070-0a1f19314584" xlink:to="loc_us-gaap_OtherLiabilities_ff0e0b1b-b140-8889-cbc7-6f0d76651556" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount" xlink:label="loc_us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount_d53b26b3-bd63-79af-32c0-25c46ebfe237" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_d7f1ad03-6ed4-706a-15fc-eae794dee33a" xlink:to="loc_us-gaap_RedeemableNoncontrollingInterestEquityCarryingAmount_d53b26b3-bd63-79af-32c0-25c46ebfe237" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_2605fa18-bbd8-c7d7-35fc-aace43a8c019" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_d7f1ad03-6ed4-706a-15fc-eae794dee33a" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_2605fa18-bbd8-c7d7-35fc-aace43a8c019" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_StockholdersEquity" xlink:label="loc_us-gaap_StockholdersEquity_4b9904d8-8624-0dbb-a949-29ff2cf808a8" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_2605fa18-bbd8-c7d7-35fc-aace43a8c019" xlink:to="loc_us-gaap_StockholdersEquity_4b9904d8-8624-0dbb-a949-29ff2cf808a8" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RetainedEarningsUnappropriated" xlink:label="loc_us-gaap_RetainedEarningsUnappropriated_e997b226-fa6c-2532-a261-4bcaf1b37191" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_4b9904d8-8624-0dbb-a949-29ff2cf808a8" xlink:to="loc_us-gaap_RetainedEarningsUnappropriated_e997b226-fa6c-2532-a261-4bcaf1b37191" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CommonStockValue" xlink:label="loc_us-gaap_CommonStockValue_f05ab245-2bd1-7865-e7ed-1461a5a6155f" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_4b9904d8-8624-0dbb-a949-29ff2cf808a8" xlink:to="loc_us-gaap_CommonStockValue_f05ab245-2bd1-7865-e7ed-1461a5a6155f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AdditionalPaidInCapitalCommonStock" xlink:label="loc_us-gaap_AdditionalPaidInCapitalCommonStock_9a00ddef-ccc2-f99c-735a-66b1e1849bbf" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_4b9904d8-8624-0dbb-a949-29ff2cf808a8" xlink:to="loc_us-gaap_AdditionalPaidInCapitalCommonStock_9a00ddef-ccc2-f99c-735a-66b1e1849bbf" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_988c1346-b444-a867-fe80-f3aec1443d54" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_4b9904d8-8624-0dbb-a949-29ff2cf808a8" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_988c1346-b444-a867-fe80-f3aec1443d54" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MinorityInterest" xlink:label="loc_us-gaap_MinorityInterest_3070eb63-b0f5-1f18-a22f-cc54a94922d9" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_2605fa18-bbd8-c7d7-35fc-aace43a8c019" xlink:to="loc_us-gaap_MinorityInterest_3070eb63-b0f5-1f18-a22f-cc54a94922d9" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/ConsolidatedBalanceSheetUnauditedParenthetical" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ConsolidatedStatementOfCashFlowsUnaudited" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease" xlink:label="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_b2425514-ebf2-89bc-8a6a-e6b6edfea6c3" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_b2425514-ebf2-89bc-8a6a-e6b6edfea6c3" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherOperatingActivitiesCashFlowStatement" xlink:label="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement_1571e7d6-d666-48e2-395f-6e58ea563df3" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_OtherOperatingActivitiesCashFlowStatement_1571e7d6-d666-48e2-395f-6e58ea563df3" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_IncreaseDecreaseInInsuranceClaimsAndReserves" xlink:label="loc_afg_IncreaseDecreaseInInsuranceClaimsAndReserves_961c668c-a79a-bbd3-f49d-f6a5cd80bc11" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_afg_IncreaseDecreaseInInsuranceClaimsAndReserves_961c668c-a79a-bbd3-f49d-f6a5cd80bc11" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_DeferredAnnuityAndLifePolicyAcquisitionCosts" xlink:label="loc_afg_DeferredAnnuityAndLifePolicyAcquisitionCosts_520a29ab-32cf-7fb4-0b59-f6a5cc14b8d0" xlink:type="locator" />
    <link:calculationArc order="3" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_afg_DeferredAnnuityAndLifePolicyAcquisitionCosts_520a29ab-32cf-7fb4-0b59-f6a5cc14b8d0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DepreciationAmortizationAndAccretionNet" xlink:label="loc_us-gaap_DepreciationAmortizationAndAccretionNet_f8d3390c-1850-b76f-7062-99d566a4ad4a" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_DepreciationAmortizationAndAccretionNet_f8d3390c-1850-b76f-7062-99d566a4ad4a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RealizedInvestmentGainsLosses" xlink:label="loc_us-gaap_RealizedInvestmentGainsLosses_68d18bc3-7cf2-23ef-d8d0-e5d483687134" xlink:type="locator" />
    <link:calculationArc order="5" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_RealizedInvestmentGainsLosses_68d18bc3-7cf2-23ef-d8d0-e5d483687134" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProfitLoss" xlink:label="loc_us-gaap_ProfitLoss_8b582348-a62e-cdfb-bc53-d5894b42e091" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_ProfitLoss_8b582348-a62e-cdfb-bc53-d5894b42e091" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AnnuityBenefits" xlink:label="loc_afg_AnnuityBenefits_d4000666-2f91-e1cd-8743-f6a5cd571c1b" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_afg_AnnuityBenefits_d4000666-2f91-e1cd-8743-f6a5cd571c1b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromPaymentsForTradingSecurities" xlink:label="loc_us-gaap_ProceedsFromPaymentsForTradingSecurities_3a212251-263c-24b0-e666-d571f18f1ddd" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_ProceedsFromPaymentsForTradingSecurities_3a212251-263c-24b0-e666-d571f18f1ddd" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_IncreaseDecreaseinReinsuranceandOtherReceivables" xlink:label="loc_afg_IncreaseDecreaseinReinsuranceandOtherReceivables_bad540ed-5d36-2101-839a-f6a5cd6bbe7e" xlink:type="locator" />
    <link:calculationArc order="9" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_afg_IncreaseDecreaseinReinsuranceandOtherReceivables_bad540ed-5d36-2101-839a-f6a5cd6bbe7e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_5550ae9d-a6e2-fc35-fc50-54521e2bfb5d" xlink:type="locator" />
    <link:calculationArc order="10" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_5550ae9d-a6e2-fc35-fc50-54521e2bfb5d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInReinsurancePayables" xlink:label="loc_us-gaap_IncreaseDecreaseInReinsurancePayables_dc4a198f-32f5-01cf-b230-c3454a5e20eb" xlink:type="locator" />
    <link:calculationArc order="11" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_IncreaseDecreaseInReinsurancePayables_dc4a198f-32f5-01cf-b230-c3454a5e20eb" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncreaseDecreaseInOtherOperatingLiabilities" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_d7de2883-fea4-6e7c-2c8b-7fee9aa34369" xlink:type="locator" />
    <link:calculationArc order="12" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_d7de2883-fea4-6e7c-2c8b-7fee9aa34369" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_ManagedInvestmentEntitiesAssetsAndLiabilities" xlink:label="loc_afg_ManagedInvestmentEntitiesAssetsAndLiabilities_88d34941-67ee-b61e-e55d-f6a5cc74da82" xlink:type="locator" />
    <link:calculationArc order="13" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_ce0d7b63-a366-bc9b-79e1-780981e428fe" xlink:to="loc_afg_ManagedInvestmentEntitiesAssetsAndLiabilities_88d34941-67ee-b61e-e55d-f6a5cc74da82" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_b2425514-ebf2-89bc-8a6a-e6b6edfea6c3" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_ProceedsFromSalesAndRedemptionsOfInvestmentsByManagedInvestmentEntities" xlink:label="loc_afg_ProceedsFromSalesAndRedemptionsOfInvestmentsByManagedInvestmentEntities_9bed4c14-828f-a046-31a5-f6a5cd90b8f7" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_afg_ProceedsFromSalesAndRedemptionsOfInvestmentsByManagedInvestmentEntities_9bed4c14-828f-a046-31a5-f6a5cd90b8f7" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_PurchasesOfInvestmentsByManagedInvestmentEntities" xlink:label="loc_afg_PurchasesOfInvestmentsByManagedInvestmentEntities_23092bb2-4611-fb59-d3d8-f6a5cc6fa1a8" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_afg_PurchasesOfInvestmentsByManagedInvestmentEntities_23092bb2-4611-fb59-d3d8-f6a5cc6fa1a8" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsForProceedsFromOtherInvestingActivities" xlink:label="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_b5cf64b6-8899-5a9a-328a-4f0a312ae378" xlink:type="locator" />
    <link:calculationArc order="3" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_PaymentsForProceedsFromOtherInvestingActivities_b5cf64b6-8899-5a9a-328a-4f0a312ae378" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsToAcquireMortgageNotesReceivable" xlink:label="loc_us-gaap_PaymentsToAcquireMortgageNotesReceivable_0b480db7-6a14-4ef9-a958-f3c4ba60efad" xlink:type="locator" />
    <link:calculationArc order="4" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_PaymentsToAcquireMortgageNotesReceivable_0b480db7-6a14-4ef9-a958-f3c4ba60efad" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity" xlink:label="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity_c76123b2-5946-cb9a-6794-48ac1da21ef0" xlink:type="locator" />
    <link:calculationArc order="5" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesEquity_c76123b2-5946-cb9a-6794-48ac1da21ef0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsToAcquireOtherInvestments" xlink:label="loc_us-gaap_PaymentsToAcquireOtherInvestments_483713d8-e500-be9d-d173-6b5e26416fef" xlink:type="locator" />
    <link:calculationArc order="6" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_PaymentsToAcquireOtherInvestments_483713d8-e500-be9d-d173-6b5e26416fef" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_PurchasesOfRealEstatePropertyAndEquipment" xlink:label="loc_afg_PurchasesOfRealEstatePropertyAndEquipment_d84c71e3-7636-ef69-e38e-f6a5cc1bfae6" xlink:type="locator" />
    <link:calculationArc order="7" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_afg_PurchasesOfRealEstatePropertyAndEquipment_d84c71e3-7636-ef69-e38e-f6a5cc1bfae6" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity" xlink:label="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity_c4ba6750-a0ad-e402-704f-a43919d1eea3" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesEquity_c4ba6750-a0ad-e402-704f-a43919d1eea3" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromSaleAndMaturityOfOtherInvestments" xlink:label="loc_us-gaap_ProceedsFromSaleAndMaturityOfOtherInvestments_25a8c943-d653-1f00-b8d3-0f47ff48fcf4" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_ProceedsFromSaleAndMaturityOfOtherInvestments_25a8c943-d653-1f00-b8d3-0f47ff48fcf4" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_ProceedsFromSalesOfRealEstatePropertyAndEquipment" xlink:label="loc_afg_ProceedsFromSalesOfRealEstatePropertyAndEquipment_0c537698-f633-27a9-efe8-f6a5cda64c32" xlink:type="locator" />
    <link:calculationArc order="10" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_afg_ProceedsFromSalesOfRealEstatePropertyAndEquipment_0c537698-f633-27a9-efe8-f6a5cda64c32" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromSaleAndCollectionOfMortgageNotesReceivable" xlink:label="loc_us-gaap_ProceedsFromSaleAndCollectionOfMortgageNotesReceivable_31166592-91ef-79ac-8608-2ae0cc885863" xlink:type="locator" />
    <link:calculationArc order="11" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_ProceedsFromSaleAndCollectionOfMortgageNotesReceivable_31166592-91ef-79ac-8608-2ae0cc885863" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities" xlink:label="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_e3f9215c-1f64-e636-ccb3-9c51d05b0a6d" xlink:type="locator" />
    <link:calculationArc order="12" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_e3f9215c-1f64-e636-ccb3-9c51d05b0a6d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt" xlink:label="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_8b51ae5f-8f14-ae0e-00e7-8f4e716f2f96" xlink:type="locator" />
    <link:calculationArc order="13" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_8b51ae5f-8f14-ae0e-00e7-8f4e716f2f96" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt" xlink:label="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_d1d20cfe-f038-824a-0236-247c2a122ebc" xlink:type="locator" />
    <link:calculationArc order="14" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_0f07a806-a2da-6d18-a7a9-d734fad1f3b0" xlink:to="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_d1d20cfe-f038-824a-0236-247c2a122ebc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashAndCashEquivalentsPeriodIncreaseDecrease_b2425514-ebf2-89bc-8a6a-e6b6edfea6c3" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromAnnuitiesAndInvestmentCertificates" xlink:label="loc_us-gaap_ProceedsFromAnnuitiesAndInvestmentCertificates_49f6dfcd-32f8-e5b1-bcb0-1f8fa12c9fcc" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_us-gaap_ProceedsFromAnnuitiesAndInvestmentCertificates_49f6dfcd-32f8-e5b1-bcb0-1f8fa12c9fcc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_RepaymentsOfAnnuitiesAndInvestmentCertificates" xlink:label="loc_us-gaap_RepaymentsOfAnnuitiesAndInvestmentCertificates_5e6786d0-87a3-1f1b-3fe3-4e08999320dd" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_us-gaap_RepaymentsOfAnnuitiesAndInvestmentCertificates_5e6786d0-87a3-1f1b-3fe3-4e08999320dd" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_NetTransfersFromToSeparateAccounts" xlink:label="loc_afg_NetTransfersFromToSeparateAccounts_e480367a-6cb3-737a-9600-f6a5cc5f8f3c" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_afg_NetTransfersFromToSeparateAccounts_e480367a-6cb3-737a-9600-f6a5cc5f8f3c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromIssuanceOfLongTermDebt" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_f58bb86e-8b52-c30f-7b3a-554d3e73586f" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfLongTermDebt_f58bb86e-8b52-c30f-7b3a-554d3e73586f" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_ProceedsFromIssuanceOfManagedInvestmentEntities" xlink:label="loc_afg_ProceedsFromIssuanceOfManagedInvestmentEntities_40b83e0f-6aba-5a76-8c05-f6a5cc35d0c4" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_afg_ProceedsFromIssuanceOfManagedInvestmentEntities_40b83e0f-6aba-5a76-8c05-f6a5cc35d0c4" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_RetirementOfManagedInvestmentEntitiesLiabilities" xlink:label="loc_afg_RetirementOfManagedInvestmentEntitiesLiabilities_9a0c08cd-c449-a733-0db4-f6a5cd2e373e" xlink:type="locator" />
    <link:calculationArc order="6" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_afg_RetirementOfManagedInvestmentEntitiesLiabilities_9a0c08cd-c449-a733-0db4-f6a5cd2e373e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_0f0975d6-8500-76a0-c74f-5d2f0ed8b620" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_0f0975d6-8500-76a0-c74f-5d2f0ed8b620" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsOfDividendsCommonStock" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock_41d72ed0-9a2b-31fb-9f8e-ad33f5eca26a" xlink:type="locator" />
    <link:calculationArc order="8" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_1efd93c0-bb90-2a64-a997-3a70afaa3faa" xlink:to="loc_us-gaap_PaymentsOfDividendsCommonStock_41d72ed0-9a2b-31fb-9f8e-ad33f5eca26a" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/ConsolidatedStatementOfChangesInEquityUnaudited" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ConsolidatedStatementOfChangesInEquityUnauditedParenthetical" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ConsolidatedStatementOfComprehensiveIncomeUnaudited" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTax" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_5c8b3520-1ca2-0a91-0912-70d62831826c" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_c4761fa8-dc2a-e270-4b5c-921deca83ad0" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_5c8b3520-1ca2-0a91-0912-70d62831826c" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_c4761fa8-dc2a-e270-4b5c-921deca83ad0" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_51cce957-7438-47fa-f5b3-33f2b5e56016" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_5c8b3520-1ca2-0a91-0912-70d62831826c" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_51cce957-7438-47fa-f5b3-33f2b5e56016" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_68a2669c-01f8-c962-bf95-0b4231cd45da" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_68a2669c-01f8-c962-bf95-0b4231cd45da" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesNetOfTax_2efcb6ae-5d3a-652c-5e64-2f0332c3d5a3" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossDerivativesQualifyingAsHedgesNetOfTax_2efcb6ae-5d3a-652c-5e64-2f0332c3d5a3" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_06dfb931-62f3-bab4-4c41-dbf77bf8befd" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_06dfb931-62f3-bab4-4c41-dbf77bf8befd" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_e88bd855-1cc4-7d92-7586-c29e344f0391" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_06dfb931-62f3-bab4-4c41-dbf77bf8befd" xlink:to="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_e88bd855-1cc4-7d92-7586-c29e344f0391" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_OtherComprehensiveIncomeLossReclassificationAdjustmentForRealizedGainsLossesIncludedInNetIncomeNetOfTax" xlink:label="loc_afg_OtherComprehensiveIncomeLossReclassificationAdjustmentForRealizedGainsLossesIncludedInNetIncomeNetOfTax_5fbf6848-6cbd-dc85-3bf5-f6a5cd108ef5" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_06dfb931-62f3-bab4-4c41-dbf77bf8befd" xlink:to="loc_afg_OtherComprehensiveIncomeLossReclassificationAdjustmentForRealizedGainsLossesIncludedInNetIncomeNetOfTax_5fbf6848-6cbd-dc85-3bf5-f6a5cd108ef5" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/ConsolidatedStatementOfEarningsUnaudited" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetIncomeLoss" xlink:label="loc_us-gaap_NetIncomeLoss_e170ce1e-c3a8-e8ee-88b0-37e8dd7b1d11" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ProfitLoss" xlink:label="loc_us-gaap_ProfitLoss_8b582348-a62e-cdfb-bc53-d5894b42e091" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_e170ce1e-c3a8-e8ee-88b0-37e8dd7b1d11" xlink:to="loc_us-gaap_ProfitLoss_8b582348-a62e-cdfb-bc53-d5894b42e091" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingIncomeLoss" xlink:label="loc_us-gaap_OperatingIncomeLoss_8db01d6d-ae17-523f-94b9-8ab4add4a22e" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_8b582348-a62e-cdfb-bc53-d5894b42e091" xlink:to="loc_us-gaap_OperatingIncomeLoss_8db01d6d-ae17-523f-94b9-8ab4add4a22e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Revenues" xlink:label="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_8db01d6d-ae17-523f-94b9-8ab4add4a22e" xlink:to="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PremiumsEarnedNetPropertyAndCasualty" xlink:label="loc_us-gaap_PremiumsEarnedNetPropertyAndCasualty_22017442-3418-5730-36a5-40b2ecd2806a" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_us-gaap_PremiumsEarnedNetPropertyAndCasualty_22017442-3418-5730-36a5-40b2ecd2806a" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_LifeAccidentAndHealthPremiums" xlink:label="loc_afg_LifeAccidentAndHealthPremiums_dbcb3ae0-0a9f-9deb-dbfb-f6a5cd474d68" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_afg_LifeAccidentAndHealthPremiums_dbcb3ae0-0a9f-9deb-dbfb-f6a5cd474d68" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetInvestmentIncome" xlink:label="loc_us-gaap_NetInvestmentIncome_a9a877fc-5ca4-60d6-236e-1fd7da5874f2" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_us-gaap_NetInvestmentIncome_a9a877fc-5ca4-60d6-236e-1fd7da5874f2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MarketableSecuritiesRealizedGainLoss" xlink:label="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments" xlink:label="loc_us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments_879d330a-7b8e-e180-07a4-5af83367c27f" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:to="loc_us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments_879d330a-7b8e-e180-07a4-5af83367c27f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities" xlink:label="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities_76000357-a728-de85-b46f-b78ebde82f06" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:to="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities_76000357-a728-de85-b46f-b78ebde82f06" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionInOtherComprehensiveIncomeLossBeforeTaxIncludingPortionAttributableToNoncontrollingInterestAvailableforsaleSecurities" xlink:label="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionInOtherComprehensiveIncomeLossBeforeTaxIncludingPortionAttributableToNoncontrollingInterestAvailableforsaleSecurities_3c1fbb29-dc0c-bfb3-d165-f2fe123c7e7a" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities_76000357-a728-de85-b46f-b78ebde82f06" xlink:to="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionInOtherComprehensiveIncomeLossBeforeTaxIncludingPortionAttributableToNoncontrollingInterestAvailableforsaleSecurities_3c1fbb29-dc0c-bfb3-d165-f2fe123c7e7a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ImpairmentOfInvestments" xlink:label="loc_us-gaap_ImpairmentOfInvestments_65d12bfa-dee3-96e3-088b-777473e373e6" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities_76000357-a728-de85-b46f-b78ebde82f06" xlink:to="loc_us-gaap_ImpairmentOfInvestments_65d12bfa-dee3-96e3-088b-777473e373e6" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_InvestmentIncomeOfManagedInvestmentEntities" xlink:label="loc_afg_InvestmentIncomeOfManagedInvestmentEntities_9c22e409-0675-3962-4ae5-f6a5cc6c7220" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_afg_InvestmentIncomeOfManagedInvestmentEntities_9c22e409-0675-3962-4ae5-f6a5cc6c7220" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_GainLossonChangeinFairValueofAssetsandLiabilitiesofManagedInvestmentEntities" xlink:label="loc_afg_GainLossonChangeinFairValueofAssetsandLiabilitiesofManagedInvestmentEntities_b76379ef-b617-afe1-ad5d-f6a5cc36d76d" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_afg_GainLossonChangeinFairValueofAssetsandLiabilitiesofManagedInvestmentEntities_b76379ef-b617-afe1-ad5d-f6a5cc36d76d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherIncome" xlink:label="loc_us-gaap_OtherIncome_b36cbb9c-3cb7-e834-cb02-aac35e8dbc1b" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_us-gaap_OtherIncome_b36cbb9c-3cb7-e834-cb02-aac35e8dbc1b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_BenefitsLossesAndExpenses" xlink:label="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_8db01d6d-ae17-523f-94b9-8ab4add4a22e" xlink:to="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_InterestExpense" xlink:label="loc_us-gaap_InterestExpense_16e9f6a6-5524-a7b1-7e7c-73ee97610ec6" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_us-gaap_InterestExpense_16e9f6a6-5524-a7b1-7e7c-73ee97610ec6" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_ExpensesOfManagedInvestmentEntities" xlink:label="loc_afg_ExpensesOfManagedInvestmentEntities_e1e01f15-31ca-2243-d7cb-f6a5cd292e91" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_afg_ExpensesOfManagedInvestmentEntities_e1e01f15-31ca-2243-d7cb-f6a5cd292e91" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncurredClaimsPropertyCasualtyAndLiability" xlink:label="loc_us-gaap_IncurredClaimsPropertyCasualtyAndLiability_20d006d6-9433-0726-c9f2-14c4cf6a5e1a" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_us-gaap_IncurredClaimsPropertyCasualtyAndLiability_20d006d6-9433-0726-c9f2-14c4cf6a5e1a" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_PropertyAndCasualtyCommissionsAndOtherUnderwritingExpenses" xlink:label="loc_afg_PropertyAndCasualtyCommissionsAndOtherUnderwritingExpenses_48ff0c37-fa47-b0c9-f589-f6a5cc4ee286" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_afg_PropertyAndCasualtyCommissionsAndOtherUnderwritingExpenses_48ff0c37-fa47-b0c9-f589-f6a5cc4ee286" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AnnuityBenefits" xlink:label="loc_afg_AnnuityBenefits_d4000666-2f91-e1cd-8743-f6a5cd571c1b" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_afg_AnnuityBenefits_d4000666-2f91-e1cd-8743-f6a5cd571c1b" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AnnuityAndSupplementalInsuranceAcquisitionExpenses" xlink:label="loc_afg_AnnuityAndSupplementalInsuranceAcquisitionExpenses_7aa35ec5-c086-e587-fff7-f6a5cc58ad3d" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_afg_AnnuityAndSupplementalInsuranceAcquisitionExpenses_7aa35ec5-c086-e587-fff7-f6a5cc58ad3d" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_LifeAccidentAndHealthBenefits" xlink:label="loc_afg_LifeAccidentAndHealthBenefits_e2cae0d2-ff9d-d48b-3379-f6a5cc51abed" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_afg_LifeAccidentAndHealthBenefits_e2cae0d2-ff9d-d48b-3379-f6a5cc51abed" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherCostAndExpenseOperating" xlink:label="loc_us-gaap_OtherCostAndExpenseOperating_fdd3a041-a733-299c-016d-efa8e43f811b" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_cec74385-9235-9cd5-178d-c2c7a4ce2554" xlink:to="loc_us-gaap_OtherCostAndExpenseOperating_fdd3a041-a733-299c-016d-efa8e43f811b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_8b582348-a62e-cdfb-bc53-d5894b42e091" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetIncomeLossAttributableToNoncontrollingInterest" xlink:label="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_a3a6becb-cb5c-3f3c-51b9-6edd8011ed69" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_e170ce1e-c3a8-e8ee-88b0-37e8dd7b1d11" xlink:to="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_a3a6becb-cb5c-3f3c-51b9-6edd8011ed69" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/Contingencies" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DeferredPolicyAcquisitionCosts" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DeferredPolicyAcquisitionCostsNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DeferredPolicyAcquisitionCostsProgressionOfDeferredPolicyAcquisitionCostsDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions_98c6fcbf-a075-8bbc-eccd-492dae940890" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredPolicyAcquisitionCostsAdditions" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostsAdditions_17c4e03a-9f25-d2b3-f7a6-7b190294c999" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions_98c6fcbf-a075-8bbc-eccd-492dae940890" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostsAdditions_17c4e03a-9f25-d2b3-f7a6-7b190294c999" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredSalesInducementsAdditions" xlink:label="loc_us-gaap_DeferredSalesInducementsAdditions_b3592645-c2ca-dd87-ddcf-b9abee35d0dc" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAdditions_98c6fcbf-a075-8bbc-eccd-492dae940890" xlink:to="loc_us-gaap_DeferredSalesInducementsAdditions_b3592645-c2ca-dd87-ddcf-b9abee35d0dc" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortizationExpenseNetInvestmentGainsLosses" xlink:label="loc_afg_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortizationExpenseNetInvestmentGainsLosses_eff1792d-7964-a745-8645-f6a5cc1fb978" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredPolicyAcquisitionCostAmortizationExpenseNetInvestmentGainsLosses" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpenseNetInvestmentGainsLosses_16631da9-4b2f-0d28-4418-4691c1ce1f34" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortizationExpenseNetInvestmentGainsLosses_eff1792d-7964-a745-8645-f6a5cc1fb978" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpenseNetInvestmentGainsLosses_16631da9-4b2f-0d28-4418-4691c1ce1f34" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_DeferredSalesInducementsAmortizationExpenseNetInvestmentGainsLosses" xlink:label="loc_afg_DeferredSalesInducementsAmortizationExpenseNetInvestmentGainsLosses_f3910c10-b554-be77-7430-f6a5cd5199ff" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortizationExpenseNetInvestmentGainsLosses_eff1792d-7964-a745-8645-f6a5cc1fb978" xlink:to="loc_afg_DeferredSalesInducementsAmortizationExpenseNetInvestmentGainsLosses_f3910c10-b554-be77-7430-f6a5cd5199ff" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1_b3232520-113c-68da-3744-3e601f24cab9" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredPolicyAcquisitionCostAmortizationExpenseOther" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpenseOther_acc104b0-020e-0438-f4bb-b265cc397a28" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1_b3232520-113c-68da-3744-3e601f24cab9" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpenseOther_acc104b0-020e-0438-f4bb-b265cc397a28" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredSalesInducementsAmortizationExpense" xlink:label="loc_us-gaap_DeferredSalesInducementsAmortizationExpense_9725211a-12b4-0723-2dea-a4894d41fa56" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1_b3232520-113c-68da-3744-3e601f24cab9" xlink:to="loc_us-gaap_DeferredSalesInducementsAmortizationExpense_9725211a-12b4-0723-2dea-a4894d41fa56" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PresentValueOfFutureInsuranceProfitsAmortizationExpense1" xlink:label="loc_us-gaap_PresentValueOfFutureInsuranceProfitsAmortizationExpense1_ded0ca21-9ecc-84fe-8c8d-38283c044cd9" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredPolicyAcquisitionCostsAndPresentValueOfFutureProfitsAmortization1_b3232520-113c-68da-3744-3e601f24cab9" xlink:to="loc_us-gaap_PresentValueOfFutureInsuranceProfitsAmortizationExpense1_ded0ca21-9ecc-84fe-8c8d-38283c044cd9" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_DeferredPolicyAcquisitionCostsandPresentValueofFutureProfitsChangeinUnrealizedInvestmentGainLoss" xlink:label="loc_afg_DeferredPolicyAcquisitionCostsandPresentValueofFutureProfitsChangeinUnrealizedInvestmentGainLoss_1da9eed9-8611-9fb8-56e4-f6a5cd73182e" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLossChangeinUnrealized" xlink:label="loc_afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLossChangeinUnrealized_5f446756-1868-481d-f62d-f6a5cd81fc66" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_DeferredPolicyAcquisitionCostsandPresentValueofFutureProfitsChangeinUnrealizedInvestmentGainLoss_1da9eed9-8611-9fb8-56e4-f6a5cd73182e" xlink:to="loc_afg_DeferredPolicyAcquisitionCostsandValueofBusinessAcquiredUnrealizedInvestmentGainLossChangeinUnrealized_5f446756-1868-481d-f62d-f6a5cd81fc66" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/DeferredPolicyAcquisitionCostsTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/Derivatives" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DerivativesDerivativesThatDoNotQualifyForHedgeAccountingUnderGaapIncludedInBalanceSheetAtFairValueDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DerivativesGainLossIncludedInStatementOfEarningsForChangesInFairValueOfDerivativesThatDoNotQualifyForHedgeAccountingDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DerivativesNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DerivativesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/DocumentAndEntityInformation" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurements" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurementsAssetsAndLiabilitiesMeasuredAndCarriedAtFairValueInFinancialStatementsDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurementsCarryingValueAndFairValueOfFinancialInstrumentsDetails" xlink:type="extended">
    <link:loc xlink:href="afg-20190630.xsd#afg_FinancialAssetsNotAccountedForAtFairValue" xlink:label="loc_afg_FinancialAssetsNotAccountedForAtFairValue_5feb9bd5-1b31-2f16-cb00-f6a5cc1177d9" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:label="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure_554f95d2-cb4f-eb2c-68b3-7e12c8578a72" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_FinancialAssetsNotAccountedForAtFairValue_5feb9bd5-1b31-2f16-cb00-f6a5cc1177d9" xlink:to="loc_us-gaap_CashAndCashEquivalentsFairValueDisclosure_554f95d2-cb4f-eb2c-68b3-7e12c8578a72" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet" xlink:label="loc_us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_2c6ef9ce-a886-ed19-8544-f0004ce97e8b" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_FinancialAssetsNotAccountedForAtFairValue_5feb9bd5-1b31-2f16-cb00-f6a5cc1177d9" xlink:to="loc_us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_2c6ef9ce-a886-ed19-8544-f0004ce97e8b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LoansInsurancePolicy" xlink:label="loc_us-gaap_LoansInsurancePolicy_396e972d-2864-74e7-02db-5f891bff6a6f" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_FinancialAssetsNotAccountedForAtFairValue_5feb9bd5-1b31-2f16-cb00-f6a5cc1177d9" xlink:to="loc_us-gaap_LoansInsurancePolicy_396e972d-2864-74e7-02db-5f891bff6a6f" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_FinancialLiabilitiesNotAccountedForAtFairValue" xlink:label="loc_afg_FinancialLiabilitiesNotAccountedForAtFairValue_5974a86d-7178-d903-2229-f6a5cd964dc9" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities" xlink:label="loc_afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities_31bca711-889c-93ab-95d9-f6a5cd7ab41e" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_FinancialLiabilitiesNotAccountedForAtFairValue_5974a86d-7178-d903-2229-f6a5cd964dc9" xlink:to="loc_afg_AnnuityBenefitsAccumulatedExcludingLifeContingentAnnuities_31bca711-889c-93ab-95d9-f6a5cd7ab41e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LongTermDebt" xlink:label="loc_us-gaap_LongTermDebt_a2f199ce-3001-c200-d488-633bc54206dc" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_FinancialLiabilitiesNotAccountedForAtFairValue_5974a86d-7178-d903-2229-f6a5cd964dc9" xlink:to="loc_us-gaap_LongTermDebt_a2f199ce-3001-c200-d488-633bc54206dc" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurementsChangesInBalancesOfLevel3FinancialAssetsCarriedAtFairValueDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurementsChangesInBalancesOfLevel3FinancialLiabilitiesCarriedAtFairValueDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurementsNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurementsTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/FairValueMeasurementsUnobservableInputsUsedInDeterminingFairValueOfEmbeddedDerivativesDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/GoodwillAndOtherIntangibles" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/GoodwillAndOtherIntangiblesNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/IncomeTaxes" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/IncomeTaxesNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/IncomeTaxesReconciliationOfIncomeTaxesAtStatutoryRateToProvisionForIncomeTaxesDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxExpenseBenefit" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate" xlink:label="loc_us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_7c7e16b8-0aa9-c1c4-f1b1-272374ca83dc" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationIncomeTaxExpenseBenefitAtFederalStatutoryIncomeTaxRate_7c7e16b8-0aa9-c1c4-f1b1-272374ca83dc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationTaxExemptIncome" xlink:label="loc_us-gaap_IncomeTaxReconciliationTaxExemptIncome_4cc3df36-3d5f-4a60-d2a6-85db727ccf82" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationTaxExemptIncome_4cc3df36-3d5f-4a60-d2a6-85db727ccf82" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationDeductionsDividends" xlink:label="loc_us-gaap_IncomeTaxReconciliationDeductionsDividends_c242e47a-f526-0baa-423c-33843d0237a2" xlink:type="locator" />
    <link:calculationArc order="3" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationDeductionsDividends_c242e47a-f526-0baa-423c-33843d0237a2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanDividends" xlink:label="loc_us-gaap_IncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanDividends_4d9a7032-3d1d-05ee-5db8-d2cce88c3665" xlink:type="locator" />
    <link:calculationArc order="4" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxRateReconciliationDeductionsEmployeeStockOwnershipPlanDividends_4d9a7032-3d1d-05ee-5db8-d2cce88c3665" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost" xlink:label="loc_us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_2998d3ea-3247-4459-9f66-28bd5dfb1499" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationNondeductibleExpenseShareBasedCompensationCost_2998d3ea-3247-4459-9f66-28bd5dfb1499" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationNondeductibleExpense" xlink:label="loc_us-gaap_IncomeTaxReconciliationNondeductibleExpense_8aacea24-b78b-d0a4-5334-45b52d9eb0b2" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationNondeductibleExpense_8aacea24-b78b-d0a4-5334-45b52d9eb0b2" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance" xlink:label="loc_us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_a0223de0-196e-53c5-0690-f9f0d2ab9105" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationChangeInDeferredTaxAssetsValuationAllowance_a0223de0-196e-53c5-0690-f9f0d2ab9105" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential" xlink:label="loc_us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_e124023a-4116-8f49-30c1-60c50fde5ff8" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationForeignIncomeTaxRateDifferential_e124023a-4116-8f49-30c1-60c50fde5ff8" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_IncomeTaxReconciliationOtherAdjustments" xlink:label="loc_us-gaap_IncomeTaxReconciliationOtherAdjustments_49a08e86-47b2-01fa-94cc-0320e102ec63" xlink:type="locator" />
    <link:calculationArc order="9" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_666ca9f0-28f1-b21a-025e-36222808a6c3" xlink:to="loc_us-gaap_IncomeTaxReconciliationOtherAdjustments_49a08e86-47b2-01fa-94cc-0320e102ec63" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_5ef0c8c5-04c5-1c10-a59e-3eaa9cf923b4" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_5ef0c8c5-04c5-1c10-a59e-3eaa9cf923b4" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome_aeca0f8c-5c05-0b2e-dcc5-0c21b3b14843" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationTaxExemptIncome_aeca0f8c-5c05-0b2e-dcc5-0c21b3b14843" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends_f67a99de-4aa4-dc6f-bf36-f3cbd9115554" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationDeductionsDividends_f67a99de-4aa4-dc6f-bf36-f3cbd9115554" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost_8a96a0f2-2ed9-024e-417b-ed20a968d49f" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpenseShareBasedCompensationCost_8a96a0f2-2ed9-024e-417b-ed20a968d49f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_cb745973-9398-b1e8-0b84-89b40fb91052" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_cb745973-9398-b1e8-0b84-89b40fb91052" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_d9df7d3d-b9dd-e868-b078-e2e03ba315bc" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_d9df7d3d-b9dd-e868-b078-e2e03ba315bc" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_77b9f787-6596-82cb-4698-f0991c80113b" xlink:type="locator" />
    <link:calculationArc order="7" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_77b9f787-6596-82cb-4698-f0991c80113b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_c16a0eb3-02da-6ea0-91e7-3203372f71fd" xlink:type="locator" />
    <link:calculationArc order="8" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_aa9fb8cf-e50d-6d5b-0236-a084fee29894" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationOtherAdjustments_c16a0eb3-02da-6ea0-91e7-3203372f71fd" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/IncomeTaxesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/Insurance" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/InsuranceAnalysisOfChangesInLiabilityForLossesAndLossAdjustmentExpensesNetOfReinsuranceDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_PaymentsForLossesAndLossAdjustmentExpense" xlink:label="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_4a09b102-4796-3f11-5735-c1e035a996f0" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_04da4ee7-f521-b045-0459-5ddb7480d030" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_4a09b102-4796-3f11-5735-c1e035a996f0" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_04da4ee7-f521-b045-0459-5ddb7480d030" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_67ba34ec-e3e8-6c46-146a-ddb0928dee95" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_4a09b102-4796-3f11-5735-c1e035a996f0" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_67ba34ec-e3e8-6c46-146a-ddb0928dee95" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/InsuranceTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/Investments" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsAvailableForSaleFixedMaturitiesDetails" xlink:type="extended">
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableforsaleDebtSecuritiesAccumulatedNetUnrealizedGainLossbeforeTax" xlink:label="loc_afg_AvailableforsaleDebtSecuritiesAccumulatedNetUnrealizedGainLossbeforeTax_4a159173-a6b2-3d1a-4951-f6a5cd31ae5e" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_9fbaf9cb-468f-3b91-9cf2-18d26152173d" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableforsaleDebtSecuritiesAccumulatedNetUnrealizedGainLossbeforeTax_4a159173-a6b2-3d1a-4951-f6a5cd31ae5e" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_9fbaf9cb-468f-3b91-9cf2-18d26152173d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_a23ab896-034e-8e96-1a84-63ffb40e496e" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableforsaleDebtSecuritiesAccumulatedNetUnrealizedGainLossbeforeTax_4a159173-a6b2-3d1a-4951-f6a5cd31ae5e" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_a23ab896-034e-8e96-1a84-63ffb40e496e" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_27940abc-0cb4-eab4-8ef0-df4a4c0bb415" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_e562c48b-3e99-2c57-8e96-c3b81056b58c" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_27940abc-0cb4-eab4-8ef0-df4a4c0bb415" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_e562c48b-3e99-2c57-8e96-c3b81056b58c" xlink:type="arc" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_27940abc-0cb4-eab4-8ef0-df4a4c0bb415" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_9fbaf9cb-468f-3b91-9cf2-18d26152173d" xlink:type="arc" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_27940abc-0cb4-eab4-8ef0-df4a4c0bb415" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_a23ab896-034e-8e96-1a84-63ffb40e496e" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsComponentsOfNetUnrealizedGainOnSecuritiesThatIsIncludedInAociInBalanceSheetDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_58dbb131-3dd4-8ecf-cb87-48dc5113246d" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax" xlink:label="loc_afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax_7aab4a50-d676-f297-0ae2-f6a5cd324a84" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_58dbb131-3dd4-8ecf-cb87-48dc5113246d" xlink:to="loc_afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentPretax_7aab4a50-d676-f297-0ae2-f6a5cd324a84" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest" xlink:label="loc_afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest_2a0f70ac-2f77-ce2c-01e1-f6a5cdaff1a1" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentNetOfTax_58dbb131-3dd4-8ecf-cb87-48dc5113246d" xlink:to="loc_afg_AccumulatedOtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentDeferredTaxAndNonControllingInterest_2a0f70ac-2f77-ce2c-01e1-f6a5cdaff1a1" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsCreditPortionOfOtherThanTemporaryImpairmentsOnFixedMaturitiesForWhichNonCreditPortionOfImpairmentHasBeenRecognizedInOciDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsEquitySecuritiesReportedAtFairValueDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EquitySecuritiesFvNiCost" xlink:label="loc_us-gaap_EquitySecuritiesFvNiCost_343e33a1-c19a-6390-98c6-16cc97a33d05" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_EquitySecuritiesFvNi" xlink:label="loc_us-gaap_EquitySecuritiesFvNi_c88e6350-e26e-969b-2f36-fb6881edab88" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EquitySecuritiesFvNiCost_343e33a1-c19a-6390-98c6-16cc97a33d05" xlink:to="loc_us-gaap_EquitySecuritiesFvNi_c88e6350-e26e-969b-2f36-fb6881edab88" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_EquitySecuritiesFVNIFairValueinExcessofCost" xlink:label="loc_afg_EquitySecuritiesFVNIFairValueinExcessofCost_722798d8-7823-512f-e4c9-f6a5cc4caf9e" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EquitySecuritiesFvNiCost_343e33a1-c19a-6390-98c6-16cc97a33d05" xlink:to="loc_afg_EquitySecuritiesFVNIFairValueinExcessofCost_722798d8-7823-512f-e4c9-f6a5cc4caf9e" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsGrossRealizedGainsAndLossesOnAvailableForSaleFixedMaturityInvestmentTransactionsDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsGrossUnrealizedLossesOnSecuritiesByInvestmentCategoryAndLengthOfTimeThatHaveBeenInContinuousUnrealizedLossPositionDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsHoldingGainsLossesOnEquitySecuritiesStillHeldDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsRealizedGainsLossesAndChangesInUnrealizedAppreciationDepreciationRelatedToFixedMaturityAndEquitySecurityInvestmentsDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MarketableSecuritiesRealizedGainLoss" xlink:label="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments" xlink:label="loc_us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments_879d330a-7b8e-e180-07a4-5af83367c27f" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:to="loc_us-gaap_MarketableSecuritiesRealizedGainLossExcludingOtherThanTemporaryImpairments_879d330a-7b8e-e180-07a4-5af83367c27f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities" xlink:label="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities_76000357-a728-de85-b46f-b78ebde82f06" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:to="loc_us-gaap_OtherThanTemporaryImpairmentLossesInvestmentsPortionRecognizedInEarningsNetAvailableforsaleSecurities_76000357-a728-de85-b46f-b78ebde82f06" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsScheduleOfSourcesOfNetInvestmentIncomeDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_NetInvestmentIncome" xlink:label="loc_us-gaap_NetInvestmentIncome_a9a877fc-5ca4-60d6-236e-1fd7da5874f2" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_GrossInvestmentIncomeOperating" xlink:label="loc_us-gaap_GrossInvestmentIncomeOperating_6b2b1b68-6152-69f5-f726-3521ab8b841d" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetInvestmentIncome_a9a877fc-5ca4-60d6-236e-1fd7da5874f2" xlink:to="loc_us-gaap_GrossInvestmentIncomeOperating_6b2b1b68-6152-69f5-f726-3521ab8b841d" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_InvestmentIncomeInvestmentExpense" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense_75f6e90c-804d-3c5a-4e2a-ebedcbc3934c" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetInvestmentIncome_a9a877fc-5ca4-60d6-236e-1fd7da5874f2" xlink:to="loc_us-gaap_InvestmentIncomeInvestmentExpense_75f6e90c-804d-3c5a-4e2a-ebedcbc3934c" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsScheduledMaturitiesOfAvailableForSaleFixedMaturitiesDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesAmortizedCost" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesAmortizedCost_4d98a848-c755-bfec-4020-e17c03e4db3b" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost_7d53d00c-6ce6-3b87-5d9f-f6a5cc4a8d05" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesAmortizedCost_4d98a848-c755-bfec-4020-e17c03e4db3b" xlink:to="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost_7d53d00c-6ce6-3b87-5d9f-f6a5cc4a8d05" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_2689b18d-c088-f9d0-8533-bbbc6703e3ca" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost_7d53d00c-6ce6-3b87-5d9f-f6a5cc4a8d05" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_2689b18d-c088-f9d0-8533-bbbc6703e3ca" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_ec915ab0-b06c-8246-6113-1ffd431b1e4b" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost_7d53d00c-6ce6-3b87-5d9f-f6a5cc4a8d05" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_ec915ab0-b06c-8246-6113-1ffd431b1e4b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_5fa99027-0ebb-5ffa-2596-c5d8d96d1a7f" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost_7d53d00c-6ce6-3b87-5d9f-f6a5cc4a8d05" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_5fa99027-0ebb-5ffa-2596-c5d8d96d1a7f" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_685bf464-cfee-568e-f726-7f96d378e9e1" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsAmortizedCost_7d53d00c-6ce6-3b87-5d9f-f6a5cc4a8d05" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_685bf464-cfee-568e-f726-7f96d378e9e1" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesAbsAmortizedCost" xlink:label="loc_afg_AvailableForSaleSecuritiesAbsAmortizedCost_ceb298fc-55a6-d697-d965-f6a5cc24c9d6" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesAmortizedCost_4d98a848-c755-bfec-4020-e17c03e4db3b" xlink:to="loc_afg_AvailableForSaleSecuritiesAbsAmortizedCost_ceb298fc-55a6-d697-d965-f6a5cc24c9d6" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesMbsAmortizedCost" xlink:label="loc_afg_AvailableForSaleSecuritiesMbsAmortizedCost_2adc1720-fef9-240f-19dd-f6a5cd6eea37" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesAmortizedCost_4d98a848-c755-bfec-4020-e17c03e4db3b" xlink:to="loc_afg_AvailableForSaleSecuritiesMbsAmortizedCost_2adc1720-fef9-240f-19dd-f6a5cd6eea37" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecurities" xlink:label="loc_us-gaap_AvailableForSaleSecurities_6f3a57ea-5dc8-2042-ec7d-a8820e571190" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue_8e493274-6d6b-7f6c-10a4-f6a5cd7d69ed" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecurities_6f3a57ea-5dc8-2042-ec7d-a8820e571190" xlink:to="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue_8e493274-6d6b-7f6c-10a4-f6a5cd7d69ed" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_d870856f-841f-c3d0-a313-ca9d525216a8" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue_8e493274-6d6b-7f6c-10a4-f6a5cd7d69ed" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_d870856f-841f-c3d0-a313-ca9d525216a8" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_6a2a51c8-a80d-af5e-4dc1-d2eeba9d310c" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue_8e493274-6d6b-7f6c-10a4-f6a5cd7d69ed" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_6a2a51c8-a80d-af5e-4dc1-d2eeba9d310c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_7f031d71-7992-4d18-a9d4-3c1221e2a6bb" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue_8e493274-6d6b-7f6c-10a4-f6a5cd7d69ed" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_7f031d71-7992-4d18-a9d4-3c1221e2a6bb" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_dea36972-70da-958f-bd14-29224bedcb55" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValue_8e493274-6d6b-7f6c-10a4-f6a5cd7d69ed" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_dea36972-70da-958f-bd14-29224bedcb55" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesAbsFairValue" xlink:label="loc_afg_AvailableForSaleSecuritiesAbsFairValue_a5966f16-5916-45f7-1997-f6a5cd210b48" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecurities_6f3a57ea-5dc8-2042-ec7d-a8820e571190" xlink:to="loc_afg_AvailableForSaleSecuritiesAbsFairValue_a5966f16-5916-45f7-1997-f6a5cd210b48" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MortgageBackedSecuritiesAvailableForSaleFairValueDisclosure" xlink:label="loc_us-gaap_MortgageBackedSecuritiesAvailableForSaleFairValueDisclosure_fdda256e-e210-58ee-81eb-791b5c3c1def" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecurities_6f3a57ea-5dc8-2042-ec7d-a8820e571190" xlink:to="loc_us-gaap_MortgageBackedSecuritiesAvailableForSaleFairValueDisclosure_fdda256e-e210-58ee-81eb-791b5c3c1def" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesFairValuePercent_2c540a3c-f132-1b46-73d8-f6a5cd3084fa" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent_de5e3bb9-8d87-a004-5cc9-f6a5cc329bcd" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesFairValuePercent_2c540a3c-f132-1b46-73d8-f6a5cd3084fa" xlink:to="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent_de5e3bb9-8d87-a004-5cc9-f6a5cc329bcd" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValuePercent_76cc6e30-a35b-a675-773d-f6a5cd1e4581" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent_de5e3bb9-8d87-a004-5cc9-f6a5cc329bcd" xlink:to="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValuePercent_76cc6e30-a35b-a675-773d-f6a5cd1e4581" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValuePercent_73c7fa1d-bae3-ad4a-2a99-f6a5cd4468c4" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent_de5e3bb9-8d87-a004-5cc9-f6a5cc329bcd" xlink:to="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValuePercent_73c7fa1d-bae3-ad4a-2a99-f6a5cd4468c4" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValuePercent_19cc4362-9a79-d5cd-e2cf-f6a5cc1cfc52" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent_de5e3bb9-8d87-a004-5cc9-f6a5cc329bcd" xlink:to="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValuePercent_19cc4362-9a79-d5cd-e2cf-f6a5cc1cfc52" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValuePercent_9aa9b88b-88de-8152-52ed-f6a5cd69c728" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesExcludingAbsAndMbsFairValuePercent_de5e3bb9-8d87-a004-5cc9-f6a5cc329bcd" xlink:to="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValuePercent_9aa9b88b-88de-8152-52ed-f6a5cd69c728" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesAbsFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesAbsFairValuePercent_3bfbc433-030a-158c-7f95-f6a5cd8a4d92" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesFairValuePercent_2c540a3c-f132-1b46-73d8-f6a5cd3084fa" xlink:to="loc_afg_AvailableForSaleSecuritiesAbsFairValuePercent_3bfbc433-030a-158c-7f95-f6a5cd8a4d92" xlink:type="arc" />
    <link:loc xlink:href="afg-20190630.xsd#afg_AvailableForSaleSecuritiesMbsFairValuePercent" xlink:label="loc_afg_AvailableForSaleSecuritiesMbsFairValuePercent_e3e3fee3-fbe4-94f3-e37b-f6a5cc3483e6" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_afg_AvailableForSaleSecuritiesDebtMaturitiesFairValuePercent_2c540a3c-f132-1b46-73d8-f6a5cd3084fa" xlink:to="loc_afg_AvailableForSaleSecuritiesMbsFairValuePercent_e3e3fee3-fbe4-94f3-e37b-f6a5cc3483e6" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/InvestmentsTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/Leases" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/LeasesLeaseActivityDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LeaseCost" xlink:label="loc_us-gaap_LeaseCost_ac3b1889-9651-365f-e4fc-e6474385db69" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingLeaseCost" xlink:label="loc_us-gaap_OperatingLeaseCost_88d5ba82-39dd-36ed-37fe-92977ff632df" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_ac3b1889-9651-365f-e4fc-e6474385db69" xlink:to="loc_us-gaap_OperatingLeaseCost_88d5ba82-39dd-36ed-37fe-92977ff632df" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ShortTermLeaseCost" xlink:label="loc_us-gaap_ShortTermLeaseCost_4efa230c-b1e9-e41e-ae56-b6a8565f3216" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_ac3b1889-9651-365f-e4fc-e6474385db69" xlink:to="loc_us-gaap_ShortTermLeaseCost_4efa230c-b1e9-e41e-ae56-b6a8565f3216" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/LeasesNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/LeasesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/LeasesUndiscountedContractualMaturitiesOfOperatingLeaseLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_1c2cd15f-6a97-015f-b126-1d0a0750698b" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_48abcf97-737b-2b2c-8a8c-c74539d0b215" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_1c2cd15f-6a97-015f-b126-1d0a0750698b" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_48abcf97-737b-2b2c-8a8c-c74539d0b215" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_9b040bc1-f43c-735d-05f7-679f319d2bb6" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_1c2cd15f-6a97-015f-b126-1d0a0750698b" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_9b040bc1-f43c-735d-05f7-679f319d2bb6" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_2f0ec234-4f20-7099-efb3-3c0ab4d024dd" xlink:type="locator" />
    <link:calculationArc order="3" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_1c2cd15f-6a97-015f-b126-1d0a0750698b" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_2f0ec234-4f20-7099-efb3-3c0ab4d024dd" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_1ed751b1-5f94-4f6f-41e9-ef873c9f2bab" xlink:type="locator" />
    <link:calculationArc order="4" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_1c2cd15f-6a97-015f-b126-1d0a0750698b" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_1ed751b1-5f94-4f6f-41e9-ef873c9f2bab" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_8a8de21f-aadc-3af7-8c96-d54cf42b401b" xlink:type="locator" />
    <link:calculationArc order="5" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_1c2cd15f-6a97-015f-b126-1d0a0750698b" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_8a8de21f-aadc-3af7-8c96-d54cf42b401b" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_b411eec9-2a0a-356b-e751-bd0680ab4d58" xlink:type="locator" />
    <link:calculationArc order="6" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_1c2cd15f-6a97-015f-b126-1d0a0750698b" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_b411eec9-2a0a-356b-e751-bd0680ab4d58" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/LongTermDebt" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/LongTermDebtNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/LongTermDebtScheduleOfLongTermDebtDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_LongTermDebt" xlink:label="loc_us-gaap_LongTermDebt_a2f199ce-3001-c200-d488-633bc54206dc" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DebtInstrumentCarryingAmount" xlink:label="loc_us-gaap_DebtInstrumentCarryingAmount_b5390da0-4b10-f083-5d88-d4657fa5b028" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_a2f199ce-3001-c200-d488-633bc54206dc" xlink:to="loc_us-gaap_DebtInstrumentCarryingAmount_b5390da0-4b10-f083-5d88-d4657fa5b028" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_DeferredFinanceCostsNet" xlink:label="loc_us-gaap_DeferredFinanceCostsNet_a0f3158e-b5db-b595-708a-09b10cc83fb2" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LongTermDebt_a2f199ce-3001-c200-d488-633bc54206dc" xlink:to="loc_us-gaap_DeferredFinanceCostsNet_a0f3158e-b5db-b595-708a-09b10cc83fb2" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/LongTermDebtTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ManagedInvestmentEntities" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ManagedInvestmentEntitiesNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ManagedInvestmentEntitiesSelectedFinancialInformationRelatedToClosDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ManagedInvestmentEntitiesTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/SegmentsOfOperations" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/SegmentsOfOperationsEarningsBeforeIncomeTaxesBySegmentAndSubSegmentDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OperatingIncomeLoss" xlink:label="loc_us-gaap_OperatingIncomeLoss_8db01d6d-ae17-523f-94b9-8ab4add4a22e" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes" xlink:label="loc_afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes_41378d4b-6c0e-f279-ce94-f6a5cc649d26" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_8db01d6d-ae17-523f-94b9-8ab4add4a22e" xlink:to="loc_afg_OperatingIncomeLossBeforeRealizedGainsLossesAndIncomeTaxes_41378d4b-6c0e-f279-ce94-f6a5cc649d26" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MarketableSecuritiesRealizedGainLoss" xlink:label="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_8db01d6d-ae17-523f-94b9-8ab4add4a22e" xlink:to="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/SegmentsOfOperationsNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/SegmentsOfOperationsRevenuesBySegmentAndSubSegmentDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_Revenues" xlink:label="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:type="locator" />
    <link:loc xlink:href="afg-20190630.xsd#afg_RevenuesBeforeRealizedGainsLosses" xlink:label="loc_afg_RevenuesBeforeRealizedGainsLosses_7add7d6e-2754-6fb9-2e66-f6a5cd70668c" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_afg_RevenuesBeforeRealizedGainsLosses_7add7d6e-2754-6fb9-2e66-f6a5cd70668c" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_MarketableSecuritiesRealizedGainLoss" xlink:label="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:type="locator" />
    <link:calculationArc order="2" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_425ada39-f194-a279-47ac-dd09cf899fb1" xlink:to="loc_us-gaap_MarketableSecuritiesRealizedGainLoss_f8d64d36-e8fd-2e51-2f8d-a326b3de1e49" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/SegmentsOfOperationsTables" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ShareholdersEquity" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ShareholdersEquityNarrativeDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ShareholdersEquityPreferredStockAuthorizedForIssuanceDetails" xlink:type="extended" />
  <link:calculationLink xlink:role="http://www.afginc.com/role/ShareholdersEquityProgressionOfComponentsOfAccumulatedOtherComprehensiveIncomeDetails" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossTax_02ee5514-cc7d-0d55-8862-28a865eecb19" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsTax_5ef33986-a1b4-b5af-979f-323912fec9c6" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossTax_02ee5514-cc7d-0d55-8862-28a865eecb19" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsTax_5ef33986-a1b4-b5af-979f-323912fec9c6" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ReclassificationFromAociCurrentPeriodTax" xlink:label="loc_us-gaap_ReclassificationFromAociCurrentPeriodTax_0c2f7ec6-a26a-a4c6-a50a-135a99bdaa71" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossTax_02ee5514-cc7d-0d55-8862-28a865eecb19" xlink:to="loc_us-gaap_ReclassificationFromAociCurrentPeriodTax_0c2f7ec6-a26a-a4c6-a50a-135a99bdaa71" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsNetOfTax_78f9a384-d8cc-c622-a09d-cab78e8426f5" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsNetOfTax_78f9a384-d8cc-c622-a09d-cab78e8426f5" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_272e5325-b640-cda1-82af-4e6cd061028c" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsNetOfTax_78f9a384-d8cc-c622-a09d-cab78e8426f5" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_272e5325-b640-cda1-82af-4e6cd061028c" xlink:type="arc" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsNetOfTax_78f9a384-d8cc-c622-a09d-cab78e8426f5" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsTax_5ef33986-a1b4-b5af-979f-323912fec9c6" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodNetOfTax" xlink:label="loc_us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodNetOfTax_33fd7cc6-9d16-3ba3-ad10-286b2340fef5" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:to="loc_us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodNetOfTax_33fd7cc6-9d16-3ba3-ad10-286b2340fef5" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodBeforeTax" xlink:label="loc_us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodBeforeTax_39cafdf4-2a2e-76fd-1ac8-d8299bbcb2e6" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodNetOfTax_33fd7cc6-9d16-3ba3-ad10-286b2340fef5" xlink:to="loc_us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodBeforeTax_39cafdf4-2a2e-76fd-1ac8-d8299bbcb2e6" xlink:type="arc" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodNetOfTax_33fd7cc6-9d16-3ba3-ad10-286b2340fef5" xlink:to="loc_us-gaap_ReclassificationFromAociCurrentPeriodTax_0c2f7ec6-a26a-a4c6-a50a-135a99bdaa71" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTax_93a02e96-cdec-754d-5e19-4ab1e0bf759a" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTax_93a02e96-cdec-754d-5e19-4ab1e0bf759a" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeReclassificationsBeforeTax_272e5325-b640-cda1-82af-4e6cd061028c" xlink:type="arc" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTax_93a02e96-cdec-754d-5e19-4ab1e0bf759a" xlink:to="loc_us-gaap_ReclassificationFromAccumulatedOtherComprehensiveIncomeCurrentPeriodBeforeTax_39cafdf4-2a2e-76fd-1ac8-d8299bbcb2e6" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/ShareholdersEquityProgressionOfComponentsOfAccumulatedOtherComprehensiveIncomeDetailsCalc2" xlink:type="extended">
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1F8EA61CB72746225002F6A617E3A261_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:type="locator" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossBeforeTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTax_1F8EA61CB72746225002F6A617E3A261_93a02e96-cdec-754d-5e19-4ab1e0bf759a" xlink:type="locator" />
    <link:calculationArc order="1" weight="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1F8EA61CB72746225002F6A617E3A261_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossBeforeTax_1F8EA61CB72746225002F6A617E3A261_93a02e96-cdec-754d-5e19-4ab1e0bf759a" xlink:type="arc" />
    <link:loc xlink:href="http://xbrl.fasb.org/us-gaap/2019/elts/us-gaap-2019-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossTax" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossTax_1F8EA61CB72746225002F6A617E3A261_02ee5514-cc7d-0d55-8862-28a865eecb19" xlink:type="locator" />
    <link:calculationArc order="2" weight="-1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTax_1F8EA61CB72746225002F6A617E3A261_1ed26a82-dd4b-490f-d61a-b04c5d44793e" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossTax_1F8EA61CB72746225002F6A617E3A261_02ee5514-cc7d-0d55-8862-28a865eecb19" xlink:type="arc" />
  </link:calculationLink>
  <link:calculationLink xlink:role="http://www.afginc.com/role/ShareholdersEquityTables" xlink:type="extended" />
</link:linkbase>
