<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a0ee66-486b-7b0c-952b-ea6532a255d0,g:d411ddb3-ab84-4c56-826a-86c301572356-->
<link:linkbase 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" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="https://xbrl.org/2023/arcrole/summation-item" xlink:type="simple" xlink:href="https://www.xbrl.org/2023/calculation-1.1.xsd#summation-item"/>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/CondensedConsolidatedBalanceSheetsUnaudited" xlink:type="simple" xlink:href="bow-20260930.xsd#CondensedConsolidatedBalanceSheetsUnaudited"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/CondensedConsolidatedBalanceSheetsUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_bow_EquityAndTemporaryEquityAttributableToParent_01a0ee66-4995-7f99-b244-7d286352edaa" xlink:href="bow-20260930.xsd#bow_EquityAndTemporaryEquityAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TemporaryEquityCarryingAmountAttributableToParent_01a0ee66-4995-7475-98d4-c521f4f782e9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_TemporaryEquityCarryingAmountAttributableToParent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_bow_EquityAndTemporaryEquityAttributableToParent_01a0ee66-4995-7f99-b244-7d286352edaa" xlink:to="loc_us-gaap_TemporaryEquityCarryingAmountAttributableToParent_01a0ee66-4995-7475-98d4-c521f4f782e9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_01a0ee66-4995-7547-89c1-ca0c4000d22e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_bow_EquityAndTemporaryEquityAttributableToParent_01a0ee66-4995-7f99-b244-7d286352edaa" xlink:to="loc_us-gaap_StockholdersEquity_01a0ee66-4995-7547-89c1-ca0c4000d22e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-7a05-9c38-ba446f9b17fd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:to="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-7a05-9c38-ba446f9b17fd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_UnearnedPremiums_01a0ee66-4995-7eb7-b476-87c1a85215bf" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_UnearnedPremiums"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:to="loc_us-gaap_UnearnedPremiums_01a0ee66-4995-7eb7-b476-87c1a85215bf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsurancePayable_01a0ee66-4995-77d5-b11c-99fe6e7a289f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsurancePayable"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:to="loc_us-gaap_ReinsurancePayable_01a0ee66-4995-77d5-b11c-99fe6e7a289f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LongTermDebt_01a0ee66-4995-7afb-9d85-4b59193e418f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LongTermDebt"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:to="loc_us-gaap_LongTermDebt_01a0ee66-4995-7afb-9d85-4b59193e418f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedIncomeTaxes_01a0ee66-4995-71f4-8fb4-459bb5fd47b2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedIncomeTaxes"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:to="loc_us-gaap_AccruedIncomeTaxes_01a0ee66-4995-71f4-8fb4-459bb5fd47b2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedLiabilitiesCurrentAndNoncurrent_01a0ee66-4995-70b1-bdd2-ad84b430ab51" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedLiabilitiesCurrentAndNoncurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:to="loc_us-gaap_AccruedLiabilitiesCurrentAndNoncurrent_01a0ee66-4995-70b1-bdd2-ad84b430ab51" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilities_01a0ee66-4995-7387-b2e7-b35b73539e3e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLiabilities"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a0ee66-4995-7f43-b58b-5aea22d551c6" xlink:to="loc_us-gaap_OtherLiabilities_01a0ee66-4995-7387-b2e7-b35b73539e3e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents_01a0ee66-4995-7338-86a7-c7f86ceb07f2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalents_01a0ee66-4995-7338-86a7-c7f86ceb07f2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssets_01a0ee66-4995-73a2-bcce-b8dfbada427e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherAssets"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_OtherAssets_01a0ee66-4995-73a2-bcce-b8dfbada427e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a0ee66-4995-7fdb-9e08-d04f995b12fd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a0ee66-4995-7fdb-9e08-d04f995b12fd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedInvestmentIncomeReceivable_01a0ee66-4995-7ce6-aaf1-d0245580afef" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccruedInvestmentIncomeReceivable"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_AccruedInvestmentIncomeReceivable_01a0ee66-4995-7ce6-aaf1-d0245580afef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxReceivable_01a0ee66-4995-73eb-9574-429fbce4e1b8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxReceivable"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_IncomeTaxReceivable_01a0ee66-4995-73eb-9574-429fbce4e1b8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_01a0ee66-4995-7e63-80f2-5d906b972fea" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_01a0ee66-4995-7e63-80f2-5d906b972fea" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Investments_01a0ee66-4995-7752-bb1a-3003dfe3d068" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Investments"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_Investments_01a0ee66-4995-7752-bb1a-3003dfe3d068" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_01a0ee66-4995-7b14-a7f5-5d88eb76669e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_01a0ee66-4995-7b14-a7f5-5d88eb76669e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidReinsurancePremiums_01a0ee66-4995-7dc8-acf9-4db27e7db41d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PrepaidReinsurancePremiums"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_PrepaidReinsurancePremiums_01a0ee66-4995-7dc8-acf9-4db27e7db41d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsReceivableAtCarryingValue_01a0ee66-4995-745f-aec2-8145e69cc315" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsReceivableAtCarryingValue"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_PremiumsReceivableAtCarryingValue_01a0ee66-4995-745f-aec2-8145e69cc315" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCosts_01a0ee66-4995-739d-bdde-e450622c682f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredPolicyAcquisitionCosts"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCosts_01a0ee66-4995-739d-bdde-e450622c682f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxAssetsNet_01a0ee66-4995-781f-9d31-8e6ace04766f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxAssetsNet"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a0ee66-4995-7230-828f-c7fe05575efc" xlink:to="loc_us-gaap_DeferredIncomeTaxAssetsNet_01a0ee66-4995-781f-9d31-8e6ace04766f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Investments_01a0ee66-4995-781f-83aa-e890dee54095" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Investments"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-733f-8ba5-79f2a023fa23" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Investments_01a0ee66-4995-781f-83aa-e890dee54095" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-733f-8ba5-79f2a023fa23" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a0ee66-4995-77f6-bf0e-51e85ae2bfe5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_01a0ee66-4995-7f71-b20f-d09f415aa513" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a0ee66-4995-77f6-bf0e-51e85ae2bfe5" xlink:to="loc_us-gaap_CommitmentsAndContingencies_01a0ee66-4995-7f71-b20f-d09f415aa513" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_01a0ee66-4995-7a82-b29d-0d5c3d6d92d3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a0ee66-4995-77f6-bf0e-51e85ae2bfe5" xlink:to="loc_us-gaap_Liabilities_01a0ee66-4995-7a82-b29d-0d5c3d6d92d3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_bow_EquityAndTemporaryEquityAttributableToParent_01a0ee66-4995-764b-972c-2c8d655c942a" xlink:href="bow-20260930.xsd#bow_EquityAndTemporaryEquityAttributableToParent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a0ee66-4995-77f6-bf0e-51e85ae2bfe5" xlink:to="loc_bow_EquityAndTemporaryEquityAttributableToParent_01a0ee66-4995-764b-972c-2c8d655c942a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_01a0ee66-4995-7e4e-8eed-f8dd5568bf3f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_01a0ee66-4995-73c6-9c1c-85c52ed57583" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_01a0ee66-4995-7e4e-8eed-f8dd5568bf3f" xlink:to="loc_us-gaap_CommonStockValue_01a0ee66-4995-73c6-9c1c-85c52ed57583" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_01a0ee66-4995-7706-aae9-4bb5c92d9227" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_01a0ee66-4995-7e4e-8eed-f8dd5568bf3f" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_01a0ee66-4995-7706-aae9-4bb5c92d9227" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_01a0ee66-4995-757b-a577-760a4cd02e8c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_01a0ee66-4995-7e4e-8eed-f8dd5568bf3f" xlink:to="loc_us-gaap_AdditionalPaidInCapital_01a0ee66-4995-757b-a577-760a4cd02e8c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_01a0ee66-4995-7e0e-88a5-82f40907df88" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_01a0ee66-4995-7e4e-8eed-f8dd5568bf3f" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_01a0ee66-4995-7e0e-88a5-82f40907df88" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/CondensedConsolidatedStatementsofIncomeandComprehensiveIncomeUnaudited" xlink:type="simple" xlink:href="bow-20260930.xsd#CondensedConsolidatedStatementsofIncomeandComprehensiveIncomeUnaudited"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/CondensedConsolidatedStatementsofIncomeandComprehensiveIncomeUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_01a0ee66-4995-7f92-a5d5-a31194604428" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-7734-8687-7b0e84a92d6d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BenefitsLossesAndExpenses"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_01a0ee66-4995-7f92-a5d5-a31194604428" xlink:to="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-7734-8687-7b0e84a92d6d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_01a0ee66-4995-7c4c-a084-83520b1a633e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Revenues"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_01a0ee66-4995-7f92-a5d5-a31194604428" xlink:to="loc_us-gaap_Revenues_01a0ee66-4995-7c4c-a084-83520b1a633e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_01a0ee66-4995-798c-9ef3-4dae62d65dda" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_01a0ee66-4995-7b79-9d3c-2c022e9571e4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_01a0ee66-4995-798c-9ef3-4dae62d65dda" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_01a0ee66-4995-7b79-9d3c-2c022e9571e4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_01a0ee66-4995-7edd-94e4-36ac3d153f1c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_01a0ee66-4995-798c-9ef3-4dae62d65dda" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_01a0ee66-4995-7edd-94e4-36ac3d153f1c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_BenefitsLossesAndExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAdjustmentOfWarrants_01a0ee66-4995-7cdd-bc31-cabf26c0b5be" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAdjustmentOfWarrants"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:to="loc_us-gaap_FairValueAdjustmentOfWarrants_01a0ee66-4995-7cdd-bc31-cabf26c0b5be" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingExpense_01a0ee66-4995-7fb7-b5ef-0a0d6124b666" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherNonoperatingExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:to="loc_us-gaap_OtherNonoperatingExpense_01a0ee66-4995-7fb7-b5ef-0a0d6124b666" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1_01a0ee66-4995-7f2f-b1d8-80498707d94b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1_01a0ee66-4995-7f2f-b1d8-80498707d94b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_01a0ee66-4995-70c2-806b-dbf7c1ef5eff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostAmortizationExpense_01a0ee66-4995-70c2-806b-dbf7c1ef5eff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_01a0ee66-4995-759d-8fa9-db7595c93fb2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:to="loc_us-gaap_OperatingExpenses_01a0ee66-4995-759d-8fa9-db7595c93fb2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_01a0ee66-4995-75cc-ae91-2040ee7a6302" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ForeignCurrencyTransactionGainLossBeforeTax"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:to="loc_us-gaap_ForeignCurrencyTransactionGainLossBeforeTax_01a0ee66-4995-75cc-ae91-2040ee7a6302" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseDebt_01a0ee66-4995-714a-acc6-5ce87b6a9ebb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseDebt"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_BenefitsLossesAndExpenses_01a0ee66-4995-72bf-8b3e-ad490c0dfca5" xlink:to="loc_us-gaap_InterestExpenseDebt_01a0ee66-4995-714a-acc6-5ce87b6a9ebb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4995-7b3f-b3ab-f60e809d5acd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsEarnedNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInUnearnedPremiumsNet_01a0ee66-4995-7055-9c55-98cda1eefba2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInUnearnedPremiumsNet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4995-7b3f-b3ab-f60e809d5acd" xlink:to="loc_us-gaap_IncreaseDecreaseInUnearnedPremiumsNet_01a0ee66-4995-7055-9c55-98cda1eefba2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4995-7023-a43e-5787439c4e0d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsWrittenNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4995-7b3f-b3ab-f60e809d5acd" xlink:to="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4995-7023-a43e-5787439c4e0d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_01a0ee66-4995-77b5-99fb-9e0b640e0e7d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Revenues"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherIncome_01a0ee66-4995-7ff9-87bc-326b298569ea" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherIncome"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_01a0ee66-4995-77b5-99fb-9e0b640e0e7d" xlink:to="loc_us-gaap_OtherIncome_01a0ee66-4995-7ff9-87bc-326b298569ea" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedInvestmentGainsLosses_01a0ee66-4995-760f-ae1d-57ce67895400" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedInvestmentGainsLosses"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_01a0ee66-4995-77b5-99fb-9e0b640e0e7d" xlink:to="loc_us-gaap_RealizedInvestmentGainsLosses_01a0ee66-4995-760f-ae1d-57ce67895400" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4995-729a-b121-2fac327a2e97" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsEarnedNet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_01a0ee66-4995-77b5-99fb-9e0b640e0e7d" xlink:to="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4995-729a-b121-2fac327a2e97" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetInvestmentIncome_01a0ee66-4995-72a5-af58-59342d5de40d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetInvestmentIncome"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_01a0ee66-4995-77b5-99fb-9e0b640e0e7d" xlink:to="loc_us-gaap_NetInvestmentIncome_01a0ee66-4995-72a5-af58-59342d5de40d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_01a0ee66-4995-7205-b605-ea357f2de5d7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesAdjustmentNetOfTaxPortionAttributableToParent_01a0ee66-4995-7ed9-ab05-cf4aed6e00a7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesAdjustmentNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_01a0ee66-4995-7205-b605-ea357f2de5d7" xlink:to="loc_us-gaap_OtherComprehensiveIncomeAvailableforsaleSecuritiesAdjustmentNetOfTaxPortionAttributableToParent_01a0ee66-4995-7ed9-ab05-cf4aed6e00a7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_01a0ee66-4995-77f1-bd77-2420fa4bb48c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_01a0ee66-4995-7205-b605-ea357f2de5d7" xlink:to="loc_us-gaap_NetIncomeLoss_01a0ee66-4995-77f1-bd77-2420fa4bb48c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4995-724c-91bb-d646f9c1648a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsWrittenNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsWrittenGross_01a0ee66-4995-7725-a849-a934d5047051" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsWrittenGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4995-724c-91bb-d646f9c1648a" xlink:to="loc_us-gaap_PremiumsWrittenGross_01a0ee66-4995-7725-a849-a934d5047051" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CededPremiumsWritten_01a0ee66-4995-7c38-8e1d-959a65dfba99" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CededPremiumsWritten"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4995-724c-91bb-d646f9c1648a" xlink:to="loc_us-gaap_CededPremiumsWritten_01a0ee66-4995-7c38-8e1d-959a65dfba99" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/CondensedConsolidatedStatementsofCashFlowsUnaudited" xlink:type="simple" xlink:href="bow-20260930.xsd#CondensedConsolidatedStatementsofCashFlowsUnaudited"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/CondensedConsolidatedStatementsofCashFlowsUnaudited" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a0ee66-4995-7afa-ad02-9aacb29d9b45" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7c47-8276-0ee168b85de1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a0ee66-4995-7afa-ad02-9aacb29d9b45" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7c47-8276-0ee168b85de1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a0ee66-4995-7b17-95b8-346d407f2ba7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a0ee66-4995-7afa-ad02-9aacb29d9b45" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a0ee66-4995-7b17-95b8-346d407f2ba7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-7b60-8b7a-02cc97de7e93" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a0ee66-4995-7afa-ad02-9aacb29d9b45" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-7b60-8b7a-02cc97de7e93" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_01a0ee66-4995-7ce8-9f87-6e04de9ea05e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_AccretionAmortizationOfDiscountsAndPremiumsInvestments_01a0ee66-4995-7ce8-9f87-6e04de9ea05e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts_01a0ee66-4995-7fd0-b91c-adb172bee2e6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInDeferredPolicyAcquisitionCosts_01a0ee66-4995-7fd0-b91c-adb172bee2e6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable_01a0ee66-4995-70b1-94e8-f948b9c37a4d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedInvestmentIncomeReceivable_01a0ee66-4995-70b1-94e8-f948b9c37a4d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInUnearnedPremiums_01a0ee66-4995-7c4e-9814-482bd8479b47" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInUnearnedPremiums"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInUnearnedPremiums_01a0ee66-4995-7c4e-9814-482bd8479b47" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInReinsurancePayables_01a0ee66-4995-7b74-a3c8-6f8dc9dd8952" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInReinsurancePayables"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInReinsurancePayables_01a0ee66-4995-7b74-a3c8-6f8dc9dd8952" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RealizedInvestmentGainsLosses_01a0ee66-4995-7371-8880-730f315b8c21" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RealizedInvestmentGainsLosses"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_RealizedInvestmentGainsLosses_01a0ee66-4995-7371-8880-730f315b8c21" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortization_01a0ee66-4995-7767-b843-58a30f0fd43a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DepreciationDepletionAndAmortization"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_DepreciationDepletionAndAmortization_01a0ee66-4995-7767-b843-58a30f0fd43a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve_01a0ee66-4995-7e56-a882-2cef652df372" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInLiabilityForClaimsAndClaimsAdjustmentExpenseReserve_01a0ee66-4995-7e56-a882-2cef652df372" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_FairValueAdjustmentOfWarrants_01a0ee66-4995-7f4b-a615-1cd9e4794119" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_FairValueAdjustmentOfWarrants"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_FairValueAdjustmentOfWarrants_01a0ee66-4995-7f4b-a615-1cd9e4794119" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_01a0ee66-4995-7bc1-8ccf-379f6f811612" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_NetIncomeLoss_01a0ee66-4995-7bc1-8ccf-379f6f811612" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilities_01a0ee66-4995-7f02-a0bb-e1b4b2403d4d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilities"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedLiabilities_01a0ee66-4995-7f02-a0bb-e1b4b2403d4d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_01a0ee66-4995-7baa-8f0b-21069d312b0f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense"/>
    <link:calculationArc order="12" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAssetAmortizationExpense_01a0ee66-4995-7baa-8f0b-21069d312b0f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_01a0ee66-4995-775d-8355-9e3c1e98eeef" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets"/>
    <link:calculationArc order="13" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_01a0ee66-4995-775d-8355-9e3c1e98eeef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_01a0ee66-4995-7583-a6e2-9660b8a24069" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_ShareBasedCompensation_01a0ee66-4995-7583-a6e2-9660b8a24069" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPremiumsReceivable_01a0ee66-4995-79ed-b33a-5865959ee9b5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInPremiumsReceivable"/>
    <link:calculationArc order="15" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInPremiumsReceivable_01a0ee66-4995-79ed-b33a-5865959ee9b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums_01a0ee66-4995-78dd-98af-feba36d59854" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums"/>
    <link:calculationArc order="16" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidReinsurancePremiums_01a0ee66-4995-78dd-98af-feba36d59854" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_01a0ee66-4995-7fa1-8bb4-120e1bef381b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInOtherOperatingLiabilities"/>
    <link:calculationArc order="17" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingLiabilities_01a0ee66-4995-7fa1-8bb4-120e1bef381b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AmortizationOfFinancingCosts_01a0ee66-4995-799b-b042-aa323049f992" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AmortizationOfFinancingCosts"/>
    <link:calculationArc order="18" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_AmortizationOfFinancingCosts_01a0ee66-4995-799b-b042-aa323049f992" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_01a0ee66-4995-74a7-a68d-2bb97d7e9e8e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="19" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_01a0ee66-4995-74a7-a68d-2bb97d7e9e8e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInIncomeTaxesReceivable_01a0ee66-4995-78d4-b698-10cecaf17d2f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInIncomeTaxesReceivable"/>
    <link:calculationArc order="20" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInIncomeTaxesReceivable_01a0ee66-4995-78d4-b698-10cecaf17d2f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInReinsuranceRecoverable_01a0ee66-4995-7331-9f44-b45b60dc2e78" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInReinsuranceRecoverable"/>
    <link:calculationArc order="21" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInReinsuranceRecoverable_01a0ee66-4995-7331-9f44-b45b60dc2e78" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_01a0ee66-4995-7cd7-90ee-eb939cc4d3bc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable"/>
    <link:calculationArc order="22" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a0ee66-4995-7a69-8f00-d239b7e691dc" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedIncomeTaxesPayable_01a0ee66-4995-7cd7-90ee-eb939cc4d3bc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-77af-964c-18040947770a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_01a0ee66-4995-7506-a5fc-d7d91c721782" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-77af-964c-18040947770a" xlink:to="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_01a0ee66-4995-7506-a5fc-d7d91c721782" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleAndMaturityOfAvailableForSaleSecurities_01a0ee66-4995-754c-8462-4870a8e304bb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromSaleAndMaturityOfAvailableForSaleSecurities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-77af-964c-18040947770a" xlink:to="loc_us-gaap_ProceedsFromSaleAndMaturityOfAvailableForSaleSecurities_01a0ee66-4995-754c-8462-4870a8e304bb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleMaturityAndCollectionOfShorttermInvestments_01a0ee66-4995-7f35-998f-3effeee28560" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromSaleMaturityAndCollectionOfShorttermInvestments"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-77af-964c-18040947770a" xlink:to="loc_us-gaap_ProceedsFromSaleMaturityAndCollectionOfShorttermInvestments_01a0ee66-4995-7f35-998f-3effeee28560" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_01a0ee66-4995-766a-aabb-260492507385" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-77af-964c-18040947770a" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_01a0ee66-4995-766a-aabb-260492507385" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireShortTermInvestments_01a0ee66-4995-7619-8477-f5ece2d086cb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsToAcquireShortTermInvestments"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a0ee66-4995-77af-964c-18040947770a" xlink:to="loc_us-gaap_PaymentsToAcquireShortTermInvestments_01a0ee66-4995-7619-8477-f5ece2d086cb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_01a0ee66-4995-7d0a-b3c4-124f2cd38aed" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents_01a0ee66-4995-7fb1-a515-855397ee962c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_01a0ee66-4995-7d0a-b3c4-124f2cd38aed" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalents_01a0ee66-4995-7fb1-a515-855397ee962c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a0ee66-4995-75da-9ca7-3d15d1937147" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_01a0ee66-4995-7d0a-b3c4-124f2cd38aed" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a0ee66-4995-75da-9ca7-3d15d1937147" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a0ee66-4995-7d15-875d-f073ae617f7e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_bow_PaymentsProceedsTaxWithholdingShareBasedPaymentArrangement_01a0ee66-4995-768d-8724-0bf686fda34b" xlink:href="bow-20260930.xsd#bow_PaymentsProceedsTaxWithholdingShareBasedPaymentArrangement"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a0ee66-4995-7d15-875d-f073ae617f7e" xlink:to="loc_bow_PaymentsProceedsTaxWithholdingShareBasedPaymentArrangement_01a0ee66-4995-768d-8724-0bf686fda34b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/InvestmentsScheduleofAmortizedCostandFairValueofFixedmaturitySecuritiesDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#InvestmentsScheduleofAmortizedCostandFairValueofFixedmaturitySecuritiesDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/InvestmentsScheduleofAmortizedCostandFairValueofFixedmaturitySecuritiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_01a0ee66-4995-73fc-89a4-39067aebed1c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-74ec-9134-4569446796b7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_01a0ee66-4995-73fc-89a4-39067aebed1c" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-74ec-9134-4569446796b7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_01a0ee66-4995-7974-ad53-e67c4010e200" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_01a0ee66-4995-73fc-89a4-39067aebed1c" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_01a0ee66-4995-7974-ad53-e67c4010e200" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_01a0ee66-4995-7616-9e3d-540a123b45bc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_01a0ee66-4995-73fc-89a4-39067aebed1c" xlink:to="loc_us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_01a0ee66-4995-7616-9e3d-540a123b45bc" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/InvestmentsScheduleofContractualMaturityofFixedMaturitySecuritiesDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#InvestmentsScheduleofContractualMaturityofFixedMaturitySecuritiesDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/InvestmentsScheduleofContractualMaturityofFixedMaturitySecuritiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_01a0ee66-4995-74b0-8dd0-7ab1664ffaa7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_01a0ee66-4995-7342-85f0-76d28f1de18a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_01a0ee66-4995-74b0-8dd0-7ab1664ffaa7" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_01a0ee66-4995-7342-85f0-76d28f1de18a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_01a0ee66-4995-72c2-85c0-0e32498c3da1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_01a0ee66-4995-74b0-8dd0-7ab1664ffaa7" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsFairValue_01a0ee66-4995-72c2-85c0-0e32498c3da1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_01a0ee66-4995-70c8-8025-eb2f8b8424a8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_01a0ee66-4995-74b0-8dd0-7ab1664ffaa7" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_01a0ee66-4995-70c8-8025-eb2f8b8424a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_01a0ee66-4995-7e55-880d-5cf9dec0d1ff" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_01a0ee66-4995-74b0-8dd0-7ab1664ffaa7" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsFairValue_01a0ee66-4995-7e55-880d-5cf9dec0d1ff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_01a0ee66-4995-7a25-a481-81b1ae24d3dd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_01a0ee66-4995-7a01-89b2-d65be98267f7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_01a0ee66-4995-7a25-a481-81b1ae24d3dd" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_01a0ee66-4995-7a01-89b2-d65be98267f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_01a0ee66-4995-7395-824e-06bf15a7ce02" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleAmortizedCostExcludingAccruedInterestBeforeAllowanceForCreditLoss_01a0ee66-4995-7a25-a481-81b1ae24d3dd" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateAmortizedCost_01a0ee66-4995-7395-824e-06bf15a7ce02" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-72e6-9aa4-5974204d1556" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_01a0ee66-4995-78a3-9831-563fad9f5017" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-72e6-9aa4-5974204d1556" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDate_01a0ee66-4995-78a3-9831-563fad9f5017" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_01a0ee66-4995-7291-a501-9674ffb17a52" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-72e6-9aa4-5974204d1556" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithoutSingleMaturityDateFairValue_01a0ee66-4995-7291-a501-9674ffb17a52" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_01a0ee66-4995-71aa-812b-679a7cb42570" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_01a0ee66-4995-7630-81a7-9118918e7f23" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_01a0ee66-4995-71aa-812b-679a7cb42570" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterTenYearsAmortizedCost_01a0ee66-4995-7630-81a7-9118918e7f23" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_01a0ee66-4995-7c62-8467-7539b8d9943c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_01a0ee66-4995-71aa-812b-679a7cb42570" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterFiveThroughTenYearsAmortizedCost_01a0ee66-4995-7c62-8467-7539b8d9943c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_01a0ee66-4995-71cc-b1f3-0606edd958f8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_01a0ee66-4995-71aa-812b-679a7cb42570" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearAmortizedCost_01a0ee66-4995-71cc-b1f3-0606edd958f8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_01a0ee66-4995-777e-bfb6-145bcce2475e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesSingleMaturityDateAmortizedCostBasis_01a0ee66-4995-71aa-812b-679a7cb42570" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsAmortizedCost_01a0ee66-4995-777e-bfb6-145bcce2475e" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/InvestmentsScheduleofNetInvestmentIncomeDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#InvestmentsScheduleofNetInvestmentIncomeDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/InvestmentsScheduleofNetInvestmentIncomeDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetInvestmentIncome_01a0ee66-4995-7fb8-84fa-b6ded49cd39a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetInvestmentIncome"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInvestmentExpense_01a0ee66-4995-77c0-9351-5958f5a2c965" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentIncomeInvestmentExpense"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetInvestmentIncome_01a0ee66-4995-7fb8-84fa-b6ded49cd39a" xlink:to="loc_us-gaap_InvestmentIncomeInvestmentExpense_01a0ee66-4995-77c0-9351-5958f5a2c965" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GrossInvestmentIncomeOperating_01a0ee66-4995-7af9-8ca3-ef1a2e5c863f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GrossInvestmentIncomeOperating"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetInvestmentIncome_01a0ee66-4995-7fb8-84fa-b6ded49cd39a" xlink:to="loc_us-gaap_GrossInvestmentIncomeOperating_01a0ee66-4995-7af9-8ca3-ef1a2e5c863f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/InvestmentsScheduleofRestrictedAssetsDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#InvestmentsScheduleofRestrictedAssetsDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/InvestmentsScheduleofRestrictedAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedInvestments_01a0ee66-4995-77d2-9782-b53db65e21fd" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedInvestments"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents_01a0ee66-4995-7f33-a2f9-d382658c9c18" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_RestrictedInvestments_01a0ee66-4995-77d2-9782-b53db65e21fd" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalents_01a0ee66-4995-7f33-a2f9-d382658c9c18" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_bow_RestrictedFixedMaturitySecurities_01a0ee66-4995-7cdd-8903-c9b9b994c0db" xlink:href="bow-20260930.xsd#bow_RestrictedFixedMaturitySecurities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_RestrictedInvestments_01a0ee66-4995-77d2-9782-b53db65e21fd" xlink:to="loc_bow_RestrictedFixedMaturitySecurities_01a0ee66-4995-7cdd-8903-c9b9b994c0db" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/InvestmentsScheduleofGrossUnrealizedLossesDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#InvestmentsScheduleofGrossUnrealizedLossesDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/InvestmentsScheduleofGrossUnrealizedLossesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_01a0ee66-4995-78ad-8d80-5d8c29eb8094" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_01a0ee66-4995-7e0a-a66c-fe71d46ea9f2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_01a0ee66-4995-78ad-8d80-5d8c29eb8094" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_01a0ee66-4995-7e0a-a66c-fe71d46ea9f2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_01a0ee66-4995-7ff7-a4ea-a96c8b4c32b2" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_01a0ee66-4995-78ad-8d80-5d8c29eb8094" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_01a0ee66-4995-7ff7-a4ea-a96c8b4c32b2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_01a0ee66-4995-7dbe-9dee-ceb3842a72f5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_01a0ee66-4995-7434-81c9-e6765ca09331" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_01a0ee66-4995-7dbe-9dee-ceb3842a72f5" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_01a0ee66-4995-7434-81c9-e6765ca09331" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_01a0ee66-4995-7e7a-8f52-9b794fe7833c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_01a0ee66-4995-7dbe-9dee-ceb3842a72f5" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_01a0ee66-4995-7e7a-8f52-9b794fe7833c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/FairValueMeasurementsDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#FairValueMeasurementsDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/FairValueMeasurementsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentsFairValueDisclosure_01a0ee66-4995-74b8-a562-f298a5cf38cf" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InvestmentsFairValueDisclosure"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-7941-a699-d0b3b29c14ca" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_InvestmentsFairValueDisclosure_01a0ee66-4995-74b8-a562-f298a5cf38cf" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleExcludingAccruedInterest_01a0ee66-4995-7941-a699-d0b3b29c14ca" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/DeferredPolicyAcquisitionCostsScheduleofDeferredPolicyAcquisitionCostsActivityDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#DeferredPolicyAcquisitionCostsScheduleofDeferredPolicyAcquisitionCostsActivityDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/DeferredPolicyAcquisitionCostsScheduleofDeferredPolicyAcquisitionCostsActivityDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_bow_TotalNetAdditions_01a0ee66-4995-713a-a42c-1643484f15c5" xlink:href="bow-20260930.xsd#bow_TotalNetAdditions"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredPolicyAcquisitionCostsAdditions_01a0ee66-4995-7d5d-892f-8ed39269cd7c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DeferredPolicyAcquisitionCostsAdditions"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_bow_TotalNetAdditions_01a0ee66-4995-713a-a42c-1643484f15c5" xlink:to="loc_us-gaap_DeferredPolicyAcquisitionCostsAdditions_01a0ee66-4995-7d5d-892f-8ed39269cd7c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_bow_DeferredPolicyAcquisitionCostCedingCommission_01a0ee66-4995-786c-90e4-9ffd1c081ad5" xlink:href="bow-20260930.xsd#bow_DeferredPolicyAcquisitionCostCedingCommission"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_bow_TotalNetAdditions_01a0ee66-4995-713a-a42c-1643484f15c5" xlink:to="loc_bow_DeferredPolicyAcquisitionCostCedingCommission_01a0ee66-4995-786c-90e4-9ffd1c081ad5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/ReserveforLossesandLossAdjustmentExpensesScheduleofReconciliationofTheBeginningAndEndingReserveBalancesDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#ReserveforLossesandLossAdjustmentExpensesScheduleofReconciliationofTheBeginningAndEndingReserveBalancesDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/ReserveforLossesandLossAdjustmentExpensesScheduleofReconciliationofTheBeginningAndEndingReserveBalancesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_01a0ee66-4995-77df-9d4f-bf8548ddb61d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsForLossesAndLossAdjustmentExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_01a0ee66-4995-753f-ad07-c7d7e7fc7096" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_01a0ee66-4995-77df-9d4f-bf8548ddb61d" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidPriorYears1_01a0ee66-4995-753f-ad07-c7d7e7fc7096" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_01a0ee66-4995-7da4-95b7-f3128e5d181d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PaymentsForLossesAndLossAdjustmentExpense_01a0ee66-4995-77df-9d4f-bf8548ddb61d" xlink:to="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseClaimsPaidCurrentYear1_01a0ee66-4995-7da4-95b7-f3128e5d181d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_01a0ee66-4995-729f-ba02-57552d219447" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-7ca2-87e7-b478265a1b32" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_01a0ee66-4995-729f-ba02-57552d219447" xlink:to="loc_us-gaap_LiabilityForClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-7ca2-87e7-b478265a1b32" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_01a0ee66-4995-7efe-a159-030c5279eed3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseNet_01a0ee66-4995-729f-ba02-57552d219447" xlink:to="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_01a0ee66-4995-7efe-a159-030c5279eed3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1_01a0ee66-4995-7757-ba11-80c9df8c3c51" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-73fb-b8f9-43d4abfc29f9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1_01a0ee66-4995-7757-ba11-80c9df8c3c51" xlink:to="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersCurrentYearClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-73fb-b8f9-43d4abfc29f9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-78f6-b824-18e13879b1d5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilityForUnpaidClaimsAndClaimsAdjustmentExpenseIncurredClaims1_01a0ee66-4995-7757-ba11-80c9df8c3c51" xlink:to="loc_us-gaap_SupplementalInformationForPropertyCasualtyInsuranceUnderwritersPriorYearClaimsAndClaimsAdjustmentExpense_01a0ee66-4995-78f6-b824-18e13879b1d5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/PremiumsandReinsuranceRelatedInformationScheduleofReinsuranceEffectsonWrittenandEarnedPremiumsandLossesandLossAdjustmentExpensesDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#PremiumsandReinsuranceRelatedInformationScheduleofReinsuranceEffectsonWrittenandEarnedPremiumsandLossesandLossAdjustmentExpensesDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/PremiumsandReinsuranceRelatedInformationScheduleofReinsuranceEffectsonWrittenandEarnedPremiumsandLossesandLossAdjustmentExpensesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_01a0ee66-4996-77e3-b046-d15c96661988" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PolicyholderBenefitsAndClaimsIncurredNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded_01a0ee66-4996-7238-82a1-b4181761bdbb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_01a0ee66-4996-77e3-b046-d15c96661988" xlink:to="loc_us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountCeded_01a0ee66-4996-7238-82a1-b4181761bdbb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed_01a0ee66-4996-7b4b-a4a0-100d649be58b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PolicyholderBenefitsAndClaimsIncurredNet_01a0ee66-4996-77e3-b046-d15c96661988" xlink:to="loc_us-gaap_ReinsuranceEffectOnClaimsAndBenefitsIncurredAmountAssumed_01a0ee66-4996-7b4b-a4a0-100d649be58b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4996-7ae6-8841-acf6201cf29b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsEarnedNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssumedPremiumsEarned_01a0ee66-4996-7715-a826-b55be8090384" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssumedPremiumsEarned"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4996-7ae6-8841-acf6201cf29b" xlink:to="loc_us-gaap_AssumedPremiumsEarned_01a0ee66-4996-7715-a826-b55be8090384" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CededPremiumsEarned_01a0ee66-4996-75e3-bcd4-6a637e1126ef" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CededPremiumsEarned"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsEarnedNet_01a0ee66-4996-7ae6-8841-acf6201cf29b" xlink:to="loc_us-gaap_CededPremiumsEarned_01a0ee66-4996-75e3-bcd4-6a637e1126ef" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4996-738a-847d-60eced17a806" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PremiumsWrittenNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssumedPremiumsWritten_01a0ee66-4996-76ae-aac6-c0f3691b729b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssumedPremiumsWritten"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4996-738a-847d-60eced17a806" xlink:to="loc_us-gaap_AssumedPremiumsWritten_01a0ee66-4996-76ae-aac6-c0f3691b729b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CededPremiumsWritten_01a0ee66-4996-73d5-8340-d4c941288c74" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CededPremiumsWritten"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_PremiumsWrittenNet_01a0ee66-4996-738a-847d-60eced17a806" xlink:to="loc_us-gaap_CededPremiumsWritten_01a0ee66-4996-73d5-8340-d4c941288c74" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/PremiumsandReinsuranceRelatedInformationScheduleofReinsuranceRecoverableonPaidandUnpaidLossesandLossAdjustmentDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#PremiumsandReinsuranceRelatedInformationScheduleofReinsuranceRecoverableonPaidandUnpaidLossesandLossAdjustmentDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/PremiumsandReinsuranceRelatedInformationScheduleofReinsuranceRecoverableonPaidandUnpaidLossesandLossAdjustmentDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_01a0ee66-4996-7859-b8e7-7543bffde509" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverablesOnPaidLosses_01a0ee66-4996-77e7-b5a9-1038bb8ec6be" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceRecoverablesOnPaidLosses"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_01a0ee66-4996-7859-b8e7-7543bffde509" xlink:to="loc_us-gaap_ReinsuranceRecoverablesOnPaidLosses_01a0ee66-4996-77e7-b5a9-1038bb8ec6be" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_01a0ee66-4996-754a-a066-59d5963fb3c0" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_01a0ee66-4996-7859-b8e7-7543bffde509" xlink:to="loc_us-gaap_ReinsuranceRecoverableForUnpaidClaimsAndClaimsAdjustments_01a0ee66-4996-754a-a066-59d5963fb3c0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ReinsuranceRecoverablesAllowance_01a0ee66-4996-7edd-9393-341114a39b50" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ReinsuranceRecoverablesAllowance"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ReinsuranceRecoverablesOnPaidAndUnpaidLosses_01a0ee66-4996-7859-b8e7-7543bffde509" xlink:to="loc_us-gaap_ReinsuranceRecoverablesAllowance_01a0ee66-4996-7edd-9393-341114a39b50" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://bowheadspecialty.com/role/EarningsPerShareDetails" xlink:type="simple" xlink:href="bow-20260930.xsd#EarningsPerShareDetails"/>
  <link:calculationLink xlink:role="http://bowheadspecialty.com/role/EarningsPerShareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_01a0ee66-4996-7ccf-928b-0d49559b39ee" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_01a0ee66-4996-7ab8-a7ad-4d04b5dfd15d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_01a0ee66-4996-7ccf-928b-0d49559b39ee" xlink:to="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_01a0ee66-4996-7ab8-a7ad-4d04b5dfd15d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_01a0ee66-4996-73d4-93b4-838670031a83" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_01a0ee66-4996-7ccf-928b-0d49559b39ee" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_01a0ee66-4996-73d4-93b4-838670031a83" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
