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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2024 Workiva-->
<!--r:d068614c-124a-4baf-8757-84f8c2420e24,g:138f0bee-c2f3-4789-9065-d882e9684be4-->
<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:roleRef roleURI="http://www.armourreit.com/role/CONSOLIDATEDBALANCESHEETS" xlink:type="simple" xlink:href="arr-20231231.xsd#CONSOLIDATEDBALANCESHEETS"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/CONSOLIDATEDBALANCESHEETS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_85cdb6f4-f1df-4fd0-9e48-9de00effd775" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_85cdb6f4-f1df-4fd0-9e48-9de00effd775" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCollateralForBorrowedSecurities_34a0450f-fec4-4838-86ff-3759395957a1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashCollateralForBorrowedSecurities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:to="loc_us-gaap_CashCollateralForBorrowedSecurities_34a0450f-fec4-4838-86ff-3759395957a1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_2357d2c3-535c-453c-8076-da986a1fae5a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeAssets"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:to="loc_us-gaap_DerivativeAssets_2357d2c3-535c-453c-8076-da986a1fae5a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestReceivable_67a8f54c-db94-451c-98cd-2de39d3ad843" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestReceivable"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:to="loc_us-gaap_InterestReceivable_67a8f54c-db94-451c-98cd-2de39d3ad843" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssets_45580fb5-d68a-44b6-a821-56d34fc5eb52" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PrepaidExpenseAndOtherAssets"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssets_45580fb5-d68a-44b6-a821-56d34fc5eb52" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForSaleAndTradingAgencySecurities_c9622cf5-bd17-40d8-9db1-1a30719d28da" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForSaleAndTradingAgencySecurities"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:to="loc_arr_DebtSecuritiesAvailableForSaleAndTradingAgencySecurities_c9622cf5-bd17-40d8-9db1-1a30719d28da" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherReceivables_0e24a34f-2a61-40ee-bd85-fd904795da20" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherReceivables"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_c6aaae27-e136-46b2-817e-d32558c661e8" xlink:to="loc_us-gaap_OtherReceivables_0e24a34f-2a61-40ee-bd85-fd904795da20" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SecuritiesSoldUnderAgreementsToRepurchase_99a38e8a-1237-4ba0-b61b-b61a5027b5ce" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_SecuritiesSoldUnderAgreementsToRepurchase"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_us-gaap_SecuritiesSoldUnderAgreementsToRepurchase_99a38e8a-1237-4ba0-b61b-b61a5027b5ce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ObligationToReturnSecuritiesReceivedAsCollateral_8a20d8e0-73f8-414d-aa1a-0e2df4c84b69" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ObligationToReturnSecuritiesReceivedAsCollateral"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_us-gaap_ObligationToReturnSecuritiesReceivedAsCollateral_8a20d8e0-73f8-414d-aa1a-0e2df4c84b69" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_CashCollateralHeldForCounterparties_4e496df0-95c9-4399-9f10-649c07ebd459" xlink:href="arr-20231231.xsd#arr_CashCollateralHeldForCounterparties"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_arr_CashCollateralHeldForCounterparties_4e496df0-95c9-4399-9f10-649c07ebd459" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities_f76351c8-a1e4-48a9-a891-e95313b11739" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeLiabilities"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_us-gaap_DerivativeLiabilities_f76351c8-a1e4-48a9-a891-e95313b11739" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_InterestPayableSecuritiesSoldunderAgreementstoRepurchase_f32827a3-8171-4bcf-88a8-e164d598793c" xlink:href="arr-20231231.xsd#arr_InterestPayableSecuritiesSoldunderAgreementstoRepurchase"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_arr_InterestPayableSecuritiesSoldunderAgreementstoRepurchase_f32827a3-8171-4bcf-88a8-e164d598793c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities_4cc246d1-db68-4417-8b42-36621348e308" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AccountsPayableAndOtherAccruedLiabilities"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities_4cc246d1-db68-4417-8b42-36621348e308" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_srt_PayablesToBrokerDealersAndClearingOrganizations_080b6808-9e6a-455b-b114-0a72eac0d937" xlink:href="https://xbrl.fasb.org/srt/2023/elts/srt-2023.xsd#srt_PayablesToBrokerDealersAndClearingOrganizations"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_srt_PayablesToBrokerDealersAndClearingOrganizations_080b6808-9e6a-455b-b114-0a72eac0d937" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_InterestPayableUSTreasurySecuritiesSoldShort_14a6fa7a-d66d-46c3-a80e-6c8b0d5b854c" xlink:href="arr-20231231.xsd#arr_InterestPayableUSTreasurySecuritiesSoldShort"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_8c0e7d01-00e2-4470-91d6-362fa1bc2f32" xlink:to="loc_arr_InterestPayableUSTreasurySecuritiesSoldShort_14a6fa7a-d66d-46c3-a80e-6c8b0d5b854c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_f3d17aec-d7c8-46ed-bfad-10c6e14a5048" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_29828dd2-90e3-451b-adb9-82c9106d7ebc" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_f3d17aec-d7c8-46ed-bfad-10c6e14a5048" xlink:to="loc_us-gaap_Liabilities_29828dd2-90e3-451b-adb9-82c9106d7ebc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_61ebc59a-6280-4aad-ac8d-009fcb89ef08" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_f3d17aec-d7c8-46ed-bfad-10c6e14a5048" xlink:to="loc_us-gaap_StockholdersEquity_61ebc59a-6280-4aad-ac8d-009fcb89ef08" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_8558b121-c41f-4653-9630-6a1e2fece3b3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_f3d17aec-d7c8-46ed-bfad-10c6e14a5048" xlink:to="loc_us-gaap_CommitmentsAndContingencies_8558b121-c41f-4653-9630-6a1e2fece3b3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_b04efb19-1666-4acc-a9df-247c23853c92" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_caa29ce6-5300-4b57-9a3a-02001610f02b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_b04efb19-1666-4acc-a9df-247c23853c92" xlink:to="loc_us-gaap_CommonStockValue_caa29ce6-5300-4b57-9a3a-02001610f02b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_e75afe23-7b23-424c-b9f0-9d00b1c2037c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_b04efb19-1666-4acc-a9df-247c23853c92" xlink:to="loc_us-gaap_AdditionalPaidInCapital_e75afe23-7b23-424c-b9f0-9d00b1c2037c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_5dedeeee-65be-4e24-8cf1-c62709dd0363" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_b04efb19-1666-4acc-a9df-247c23853c92" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_5dedeeee-65be-4e24-8cf1-c62709dd0363" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_33fd77cb-fbce-4926-8d5d-48efdd5ddcdb" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_b04efb19-1666-4acc-a9df-247c23853c92" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_33fd77cb-fbce-4926-8d5d-48efdd5ddcdb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockValue_d73f1352-0755-42ed-9b07-dfc15af21773" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockValue"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_b04efb19-1666-4acc-a9df-247c23853c92" xlink:to="loc_us-gaap_PreferredStockValue_d73f1352-0755-42ed-9b07-dfc15af21773" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CumulativeDividends_478d3420-ebcd-4d42-88ea-f389938bd507" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CumulativeDividends"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_b04efb19-1666-4acc-a9df-247c23853c92" xlink:to="loc_us-gaap_CumulativeDividends_478d3420-ebcd-4d42-88ea-f389938bd507" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVEINCOMELOSS" xlink:type="simple" xlink:href="arr-20231231.xsd#CONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVEINCOMELOSS"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVEINCOMELOSS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_arr_ComprehensiveIncomeLossNetOfTaxAvailableToCommonStockholders_4a700b7c-8b47-448d-aa7d-86cc6ce6d5df" xlink:href="arr-20231231.xsd#arr_ComprehensiveIncomeLossNetOfTaxAvailableToCommonStockholders"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_ee85f869-5b0a-46b7-af4a-c27aee3ecfde" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_ComprehensiveIncomeLossNetOfTaxAvailableToCommonStockholders_4a700b7c-8b47-448d-aa7d-86cc6ce6d5df" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTax_ee85f869-5b0a-46b7-af4a-c27aee3ecfde" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact_09c762ef-1fb9-468f-a155-45ac821f745b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockDividendsIncomeStatementImpact"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_ComprehensiveIncomeLossNetOfTaxAvailableToCommonStockholders_4a700b7c-8b47-448d-aa7d-86cc6ce6d5df" xlink:to="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact_09c762ef-1fb9-468f-a155-45ac821f745b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_8c52fc88-4c42-454a-b5be-341347ad6d37" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementFeeExpense_d5ab5aae-4ad6-4e5a-bde3-0bfed04aa480" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ManagementFeeExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_8c52fc88-4c42-454a-b5be-341347ad6d37" xlink:to="loc_us-gaap_ManagementFeeExpense_d5ab5aae-4ad6-4e5a-bde3-0bfed04aa480" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LaborAndRelatedExpense_063d08bf-417f-4758-970a-52dc1aaf5685" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_LaborAndRelatedExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_8c52fc88-4c42-454a-b5be-341347ad6d37" xlink:to="loc_us-gaap_LaborAndRelatedExpense_063d08bf-417f-4758-970a-52dc1aaf5685" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOperatingIncomeExpenseNet_fb1dc837-816f-4f48-a239-43841a42741b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherOperatingIncomeExpenseNet"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_8c52fc88-4c42-454a-b5be-341347ad6d37" xlink:to="loc_us-gaap_OtherOperatingIncomeExpenseNet_fb1dc837-816f-4f48-a239-43841a42741b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ef63e81-2dc2-4d84-8de8-f8462e2cea7a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForWritedownOfSecuritiesNetOfTax_8fc98102-3ffd-4b0a-b1e1-bf8a3cc1f7af" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForWritedownOfSecuritiesNetOfTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ef63e81-2dc2-4d84-8de8-f8462e2cea7a" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForWritedownOfSecuritiesNetOfTax_8fc98102-3ffd-4b0a-b1e1-bf8a3cc1f7af" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax_2e068f1c-5998-41c4-be32-75afda845e0f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ef63e81-2dc2-4d84-8de8-f8462e2cea7a" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossReclassificationAdjustmentFromAOCIForSaleOfSecuritiesNetOfTax_2e068f1c-5998-41c4-be32-75afda845e0f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_86600aae-0f74-470b-92f6-a599158c8ee3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_9ef63e81-2dc2-4d84-8de8-f8462e2cea7a" xlink:to="loc_us-gaap_OtherComprehensiveIncomeUnrealizedHoldingGainLossOnSecuritiesArisingDuringPeriodNetOfTax_86600aae-0f74-470b-92f6-a599158c8ee3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_733eaff9-85ca-4490-aa1c-2ab9d1c2778c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_7c5ea9a0-b14c-4680-aab7-433d61ecf212" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_733eaff9-85ca-4490-aa1c-2ab9d1c2778c" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToParent_7c5ea9a0-b14c-4680-aab7-433d61ecf212" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_db65e8c6-69c8-46b2-b940-5afb78239053" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_733eaff9-85ca-4490-aa1c-2ab9d1c2778c" xlink:to="loc_us-gaap_NetIncomeLoss_db65e8c6-69c8-46b2-b940-5afb78239053" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_ExpensesAfterFeesWaived_520bfd46-75db-44b1-9acb-9a79a28a998e" xlink:href="arr-20231231.xsd#arr_ExpensesAfterFeesWaived"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_5e8d5750-2127-4972-9447-dd1263e9c630" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_ExpensesAfterFeesWaived_520bfd46-75db-44b1-9acb-9a79a28a998e" xlink:to="loc_us-gaap_OperatingExpenses_5e8d5750-2127-4972-9447-dd1263e9c630" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentCompanyContractualFeeWaived_5e869371-35d9-4134-b166-6d34f6192ad5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InvestmentCompanyContractualFeeWaived"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_ExpensesAfterFeesWaived_520bfd46-75db-44b1-9acb-9a79a28a998e" xlink:to="loc_us-gaap_InvestmentCompanyContractualFeeWaived_5e869371-35d9-4134-b166-6d34f6192ad5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_025f22fa-a9c7-411d-b8bd-6e775a5e48b7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_62ec27c6-0a4b-49fe-94c9-e0a1b61af0de" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_025f22fa-a9c7-411d-b8bd-6e775a5e48b7" xlink:to="loc_us-gaap_NetIncomeLoss_62ec27c6-0a4b-49fe-94c9-e0a1b61af0de" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact_2102b632-b93a-4d9c-937d-81d2c38875dc" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockDividendsIncomeStatementImpact"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_025f22fa-a9c7-411d-b8bd-6e775a5e48b7" xlink:to="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact_2102b632-b93a-4d9c-937d-81d2c38875dc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_OtherOperatingIncomeLoss_f6693ff6-275d-491f-a13d-1721b3e3c9db" xlink:href="arr-20231231.xsd#arr_OtherOperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesGainLoss_53d187ac-ae86-4083-bd7a-b430f828aa8f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesGainLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_OtherOperatingIncomeLoss_f6693ff6-275d-491f-a13d-1721b3e3c9db" xlink:to="loc_us-gaap_DebtSecuritiesGainLoss_53d187ac-ae86-4083-bd7a-b430f828aa8f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesTradingGainLoss_deb2a182-04ec-446e-9358-1b38fa8e9ffd" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesTradingGainLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_OtherOperatingIncomeLoss_f6693ff6-275d-491f-a13d-1721b3e3c9db" xlink:to="loc_us-gaap_DebtSecuritiesTradingGainLoss_deb2a182-04ec-446e-9358-1b38fa8e9ffd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossNotPreviouslyRecorded_990e9430-bbca-41ee-9acf-7d5bd732b29b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossNotPreviouslyRecorded"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_OtherOperatingIncomeLoss_f6693ff6-275d-491f-a13d-1721b3e3c9db" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossNotPreviouslyRecorded_990e9430-bbca-41ee-9acf-7d5bd732b29b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_508c1c97-7b0f-4db7-af35-2a2a0f49d05b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_OtherOperatingIncomeLoss_f6693ff6-275d-491f-a13d-1721b3e3c9db" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_508c1c97-7b0f-4db7-af35-2a2a0f49d05b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_56e5ee2b-a6ea-4a26-a144-6e3e41683ef9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_GainLossOnDerivativeInstrumentsNetPretax"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_OtherOperatingIncomeLoss_f6693ff6-275d-491f-a13d-1721b3e3c9db" xlink:to="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_56e5ee2b-a6ea-4a26-a144-6e3e41683ef9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_9a833f67-c74c-4f6e-b3cc-b3f26f05712d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeDebtSecuritiesOperating_20fd2a03-30aa-43ec-96cf-d6e2854c554c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeDebtSecuritiesOperating"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseNet_9a833f67-c74c-4f6e-b3cc-b3f26f05712d" xlink:to="loc_us-gaap_InterestIncomeDebtSecuritiesOperating_20fd2a03-30aa-43ec-96cf-d6e2854c554c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseSecuritiesSoldUnderAgreementsToRepurchase_580d6fa0-6825-4df0-bdc7-983aa54259b0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestExpenseSecuritiesSoldUnderAgreementsToRepurchase"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_InterestIncomeExpenseNet_9a833f67-c74c-4f6e-b3cc-b3f26f05712d" xlink:to="loc_us-gaap_InterestExpenseSecuritiesSoldUnderAgreementsToRepurchase_580d6fa0-6825-4df0-bdc7-983aa54259b0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_2d237ab9-9188-4dc3-9aa3-9a87535844e3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_OtherOperatingIncomeLoss_8973b090-4342-4871-8a9a-f01d61d3804f" xlink:href="arr-20231231.xsd#arr_OtherOperatingIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_2d237ab9-9188-4dc3-9aa3-9a87535844e3" xlink:to="loc_arr_OtherOperatingIncomeLoss_8973b090-4342-4871-8a9a-f01d61d3804f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestIncomeExpenseNet_931468ae-25ef-48b1-bd58-1591c9fb3431" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_InterestIncomeExpenseNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_2d237ab9-9188-4dc3-9aa3-9a87535844e3" xlink:to="loc_us-gaap_InterestIncomeExpenseNet_931468ae-25ef-48b1-bd58-1591c9fb3431" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_ExpensesAfterFeesWaived_49378cfd-453d-4c96-9204-9005b7b245d5" xlink:href="arr-20231231.xsd#arr_ExpensesAfterFeesWaived"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_2d237ab9-9188-4dc3-9aa3-9a87535844e3" xlink:to="loc_arr_ExpensesAfterFeesWaived_49378cfd-453d-4c96-9204-9005b7b245d5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="simple" xlink:href="arr-20231231.xsd#CONSOLIDATEDSTATEMENTSOFCASHFLOWS"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AccretionAmortizationofDiscountsandPremiumsInvestmentsTrading_ffad1781-ae74-4072-9f41-a0dd80324954" xlink:href="arr-20231231.xsd#arr_AccretionAmortizationofDiscountsandPremiumsInvestmentsTrading"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_arr_AccretionAmortizationofDiscountsandPremiumsInvestmentsTrading_ffad1781-ae74-4072-9f41-a0dd80324954" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_5332d10d-fd2d-4727-bf5b-6b65a98fabc4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_NetIncomeLoss_5332d10d-fd2d-4727-bf5b-6b65a98fabc4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_fde02cca-fe39-4a5a-bd3a-e0614ba27465" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_fde02cca-fe39-4a5a-bd3a-e0614ba27465" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesTradingUnrealizedGainLoss_1c5a83b9-0888-4161-ae49-5233cae506a8" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesTradingUnrealizedGainLoss"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_DebtSecuritiesTradingUnrealizedGainLoss_1c5a83b9-0888-4161-ae49-5233cae506a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AccretionAmortizationofDiscountsandPremiumsInvestmentsAvailableforSale_b7b988d3-c294-486c-ba29-9380a9b3d2f5" xlink:href="arr-20231231.xsd#arr_AccretionAmortizationofDiscountsandPremiumsInvestmentsAvailableforSale"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_arr_AccretionAmortizationofDiscountsandPremiumsInvestmentsAvailableforSale_b7b988d3-c294-486c-ba29-9380a9b3d2f5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesTradingGainLoss_906e1b7e-815b-480a-97fd-14ad2974e8e4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesTradingGainLoss"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_DebtSecuritiesTradingGainLoss_906e1b7e-815b-480a-97fd-14ad2974e8e4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_25119c73-550d-432f-b6cf-47fcd514c257" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_25119c73-550d-432f-b6cf-47fcd514c257" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_ff494b0b-820d-4c8c-bec7-6941c4831f71" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_ShareBasedCompensation_ff494b0b-820d-4c8c-bec7-6941c4831f71" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_196c572a-398b-442b-b0bf-742c200dd078" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_196c572a-398b-442b-b0bf-742c200dd078" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDerivativeAssetsAndLiabilities_4d148f7a-ee25-4590-80dc-9b0b717f3dc9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseInDerivativeAssetsAndLiabilities"/>
    <link:calculationArc order="10" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_IncreaseDecreaseInDerivativeAssetsAndLiabilities_4d148f7a-ee25-4590-80dc-9b0b717f3dc9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_IncreaseDecreaseInInterestPayableSecuritiesSoldUnderAgreementsToRepurchase_32c9ba31-e1b4-44ec-9aa7-726231162c1b" xlink:href="arr-20231231.xsd#arr_IncreaseDecreaseInInterestPayableSecuritiesSoldUnderAgreementsToRepurchase"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_arr_IncreaseDecreaseInInterestPayableSecuritiesSoldUnderAgreementsToRepurchase_32c9ba31-e1b4-44ec-9aa7-726231162c1b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_ee902012-da18-4e9a-a582-54aecfb9a045" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss"/>
    <link:calculationArc order="12" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleRealizedGainLoss_ee902012-da18-4e9a-a582-54aecfb9a045" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_IncreaseDecreaseInInterestPayableUSTreasurySecuritiesSoldShort_1a964815-a08a-4468-a6ab-f158e257d35e" xlink:href="arr-20231231.xsd#arr_IncreaseDecreaseInInterestPayableUSTreasurySecuritiesSoldShort"/>
    <link:calculationArc order="13" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_arr_IncreaseDecreaseInInterestPayableUSTreasurySecuritiesSoldShort_1a964815-a08a-4468-a6ab-f158e257d35e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossNotPreviouslyRecorded_a67715be-59d9-427c-b916-1933c8494608" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossNotPreviouslyRecorded"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_0423ecff-a92f-446b-9b3b-02235eb9f323" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleAllowanceForCreditLossNotPreviouslyRecorded_a67715be-59d9-427c-b916-1933c8494608" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_ProceedsFromSecuritiesSoldUnderAgreementsToRepurchase_ea31f09f-3415-4538-a384-323d93e08d49" xlink:href="arr-20231231.xsd#arr_ProceedsFromSecuritiesSoldUnderAgreementsToRepurchase"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:to="loc_arr_ProceedsFromSecuritiesSoldUnderAgreementsToRepurchase_ea31f09f-3415-4538-a384-323d93e08d49" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividendsPreferredStockAndPreferenceStock_935b67b7-8ed3-44b8-8503-fbc30f995cd9" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsOfDividendsPreferredStockAndPreferenceStock"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:to="loc_us-gaap_PaymentsOfDividendsPreferredStockAndPreferenceStock_935b67b7-8ed3-44b8-8503-fbc30f995cd9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_49b22d7a-bae1-42b4-ae9e-80806a794c1a" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsForRepurchaseOfCommonStock"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:to="loc_us-gaap_PaymentsForRepurchaseOfCommonStock_49b22d7a-bae1-42b4-ae9e-80806a794c1a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_PaymentsForSecuritiesSoldUnderAgreementsToRepurchase_a1e06a78-cb7c-467c-ae9b-f8c78ad7e69a" xlink:href="arr-20231231.xsd#arr_PaymentsForSecuritiesSoldUnderAgreementsToRepurchase"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:to="loc_arr_PaymentsForSecuritiesSoldUnderAgreementsToRepurchase_a1e06a78-cb7c-467c-ae9b-f8c78ad7e69a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividendsCommonStock_43fab5c4-fcbc-44fc-a79f-0eeeb8b52e49" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsOfDividendsCommonStock"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:to="loc_us-gaap_PaymentsOfDividendsCommonStock_43fab5c4-fcbc-44fc-a79f-0eeeb8b52e49" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock_03d26f68-c436-4b54-a7fa-7b205de07f0c" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfPreferredStockAndPreferenceStock_03d26f68-c436-4b54-a7fa-7b205de07f0c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_e33dc259-f785-451f-b2b0-c71d0a942e01" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_81353b0d-f568-4442-bd5f-948f94262a62" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_e33dc259-f785-451f-b2b0-c71d0a942e01" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_7c21190b-4cb1-421d-af51-24129f78567b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_e8c2b0b2-ecb7-4b64-8885-c61b29bced4e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_7c21190b-4cb1-421d-af51-24129f78567b" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_e8c2b0b2-ecb7-4b64-8885-c61b29bced4e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_7c11fafd-0a51-4843-969e-5dd39e5a9268" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_7c21190b-4cb1-421d-af51-24129f78567b" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_7c11fafd-0a51-4843-969e-5dd39e5a9268" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5df5ede2-1eae-41ef-a990-07ed878034d4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect_7c21190b-4cb1-421d-af51-24129f78567b" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_5df5ede2-1eae-41ef-a990-07ed878034d4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_586de5ce-0865-44d2-80b2-b3c27c49d45e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_ProceedsFromMaturitiesPrepaymentsAndCallsOfAvailableForSaleSecurities_586de5ce-0865-44d2-80b2-b3c27c49d45e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseCashCollateralFromCounterparties_0f063b30-a372-4e04-9687-bcf66eaa986f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncreaseDecreaseCashCollateralFromCounterparties"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_IncreaseDecreaseCashCollateralFromCounterparties_0f063b30-a372-4e04-9687-bcf66eaa986f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsForSecuritiesPurchasedUnderAgreementsToResell_cb61c45a-f960-47f5-8e84-eecb3cf47619" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsForSecuritiesPurchasedUnderAgreementsToResell"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_PaymentsForSecuritiesPurchasedUnderAgreementsToResell_cb61c45a-f960-47f5-8e84-eecb3cf47619" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_52a58d7c-a4ee-492d-88d4-cc4169c802e7" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_52a58d7c-a4ee-492d-88d4-cc4169c802e7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSecuritiesPurchasedUnderAgreementsToResell_69ea4e15-679f-4cae-9a5e-b6631ce92914" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSecuritiesPurchasedUnderAgreementsToResell"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_ProceedsFromSecuritiesPurchasedUnderAgreementsToResell_69ea4e15-679f-4cae-9a5e-b6631ce92914" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_7cdbb14c-3d62-41a2-8f57-0ee9feb05659" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_7cdbb14c-3d62-41a2-8f57-0ee9feb05659" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquireTradingSecuritiesHeldforinvestment_91e8cb5a-3ef2-4a0f-8bbc-4077e75d8c75" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PaymentsToAcquireTradingSecuritiesHeldforinvestment"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_PaymentsToAcquireTradingSecuritiesHeldforinvestment_91e8cb5a-3ef2-4a0f-8bbc-4077e75d8c75" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromSaleOfTradingSecuritiesHeldforinvestment_706c4f35-5390-45f3-b2a4-06ba183382fc" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ProceedsFromSaleOfTradingSecuritiesHeldforinvestment"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_us-gaap_ProceedsFromSaleOfTradingSecuritiesHeldforinvestment_706c4f35-5390-45f3-b2a4-06ba183382fc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_ProceedsFromSubordinatedLoanDueFromInvestment_700be997-0088-41b9-83a8-aad7cb9f2f89" xlink:href="arr-20231231.xsd#arr_ProceedsFromSubordinatedLoanDueFromInvestment"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_f9480466-bbde-4cdf-957a-a803a6302129" xlink:to="loc_arr_ProceedsFromSubordinatedLoanDueFromInvestment_700be997-0088-41b9-83a8-aad7cb9f2f89" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/InvestmentsinSecuritiesScheduleofAvailableforsaleSecuritiesinanUnrealizedGainorLossPositionDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#InvestmentsinSecuritiesScheduleofAvailableforsaleSecuritiesinanUnrealizedGainorLossPositionDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/InvestmentsinSecuritiesScheduleofAvailableforsaleSecuritiesinanUnrealizedGainorLossPositionDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradingSecuritiesDebtAmortizedCost_70e2dc8b-a319-4f3b-9e12-a0510738b39d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TradingSecuritiesDebtAmortizedCost"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesTradingAccumulatedGrossUnrealizedLossBeforeTax_cd84e750-47a6-4ce4-bd73-676a43c3833a" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesTradingAccumulatedGrossUnrealizedLossBeforeTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_TradingSecuritiesDebtAmortizedCost_70e2dc8b-a319-4f3b-9e12-a0510738b39d" xlink:to="loc_arr_DebtSecuritiesTradingAccumulatedGrossUnrealizedLossBeforeTax_cd84e750-47a6-4ce4-bd73-676a43c3833a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesTradingAccumulatedGrossUnrealizedGainBeforeTax_b3cfc325-ca57-4c82-a1c1-cfc52e822b05" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesTradingAccumulatedGrossUnrealizedGainBeforeTax"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_TradingSecuritiesDebtAmortizedCost_70e2dc8b-a319-4f3b-9e12-a0510738b39d" xlink:to="loc_arr_DebtSecuritiesTradingAccumulatedGrossUnrealizedGainBeforeTax_b3cfc325-ca57-4c82-a1c1-cfc52e822b05" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_TradingSecuritiesDebt_6274e1f1-025f-43be-b684-cc891cad9988" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_TradingSecuritiesDebt"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_TradingSecuritiesDebtAmortizedCost_70e2dc8b-a319-4f3b-9e12-a0510738b39d" xlink:to="loc_us-gaap_TradingSecuritiesDebt_6274e1f1-025f-43be-b684-cc891cad9988" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/InvestmentinSecuritiesScheduleofInvestmentsClassifiedbyContractualMaturityDateDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#InvestmentinSecuritiesScheduleofInvestmentsClassifiedbyContractualMaturityDateDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/InvestmentinSecuritiesScheduleofInvestmentsClassifiedbyContractualMaturityDateDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesAmortizedCostBasis_69f135bd-a24c-4f56-912d-7e3b7a3f81f9" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearTwoandThreeAmortizedCostBasis_e1ef6c3b-c10c-489f-9183-3fc182ccea51" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesRollingYearTwoandThreeAmortizedCostBasis"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesAmortizedCostBasis_69f135bd-a24c-4f56-912d-7e3b7a3f81f9" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearTwoandThreeAmortizedCostBasis_e1ef6c3b-c10c-489f-9183-3fc182ccea51" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesRollingAfterYearFiveAmortizedCostBasis_c0a67a15-fd5f-4a39-9780-9b12bf92b340" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesRollingAfterYearFiveAmortizedCostBasis"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesAmortizedCostBasis_69f135bd-a24c-4f56-912d-7e3b7a3f81f9" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesRollingAfterYearFiveAmortizedCostBasis_c0a67a15-fd5f-4a39-9780-9b12bf92b340" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis_bb729559-3a5c-4923-b896-632faab05eb0" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesAmortizedCostBasis_69f135bd-a24c-4f56-912d-7e3b7a3f81f9" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis_bb729559-3a5c-4923-b896-632faab05eb0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearFourThroughFiveAmortizedCostBasis_7b51575b-4fbb-46b2-a8f0-42c28b5fd429" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesRollingYearFourThroughFiveAmortizedCostBasis"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesAmortizedCostBasis_69f135bd-a24c-4f56-912d-7e3b7a3f81f9" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearFourThroughFiveAmortizedCostBasis_7b51575b-4fbb-46b2-a8f0-42c28b5fd429" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_2cc3de3e-98ed-4895-9f2c-e7e1d4f43c33" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearFiveFairValue_63839e47-4d5b-4509-b89d-211b4121600d" xlink:href="arr-20231231.xsd#arr_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearFiveFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_2cc3de3e-98ed-4895-9f2c-e7e1d4f43c33" xlink:to="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearFiveFairValue_63839e47-4d5b-4509-b89d-211b4121600d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearFourThroughFiveFairValue_e8b08a3f-ce1e-4fb5-bd15-f210205fd418" xlink:href="arr-20231231.xsd#arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearFourThroughFiveFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_2cc3de3e-98ed-4895-9f2c-e7e1d4f43c33" xlink:to="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearFourThroughFiveFairValue_e8b08a3f-ce1e-4fb5-bd15-f210205fd418" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue_498c07a1-c788-49a8-b1ad-8d5361f1f818" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_2cc3de3e-98ed-4895-9f2c-e7e1d4f43c33" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue_498c07a1-c788-49a8-b1ad-8d5361f1f818" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughThreeFairValue_c24f2dee-c2b4-47e4-8909-555a60d1bdf9" xlink:href="arr-20231231.xsd#arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughThreeFairValue"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleSecuritiesDebtSecurities_2cc3de3e-98ed-4895-9f2c-e7e1d4f43c33" xlink:to="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughThreeFairValue_c24f2dee-c2b4-47e4-8909-555a60d1bdf9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesFairValue_15598961-37a4-4a90-8539-30fb3b6e319d" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesFairValue"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue_5acdd360-634a-4274-af04-7f8568d8efee" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesFairValue_15598961-37a4-4a90-8539-30fb3b6e319d" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesNextRollingTwelveMonthsFairValue_5acdd360-634a-4274-af04-7f8568d8efee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesRollingAfterYearFiveFairValue_10a6982b-706c-4fa5-ad17-92fc710adb11" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesRollingAfterYearFiveFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesFairValue_15598961-37a4-4a90-8539-30fb3b6e319d" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesRollingAfterYearFiveFairValue_10a6982b-706c-4fa5-ad17-92fc710adb11" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearFourandFiveFairValue_65a9b457-3c0a-4bec-bb70-58e07a2abb77" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesRollingYearFourandFiveFairValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesFairValue_15598961-37a4-4a90-8539-30fb3b6e319d" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearFourandFiveFairValue_65a9b457-3c0a-4bec-bb70-58e07a2abb77" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearTwoandThreeFairValue_6a2f42a4-202e-4c69-84bd-3d65934b21b0" xlink:href="arr-20231231.xsd#arr_TradingSecuritiesDebtMaturitiesRollingYearTwoandThreeFairValue"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_TradingSecuritiesDebtMaturitiesFairValue_15598961-37a4-4a90-8539-30fb3b6e319d" xlink:to="loc_arr_TradingSecuritiesDebtMaturitiesRollingYearTwoandThreeFairValue_6a2f42a4-202e-4c69-84bd-3d65934b21b0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_7c817df5-70d4-4b1d-8225-debf9d82490f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis_7a343721-b81f-4dae-959d-c707582de5fb" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_7c817df5-70d4-4b1d-8225-debf9d82490f" xlink:to="loc_us-gaap_AvailableForSaleSecuritiesDebtMaturitiesNextRollingTwelveMonthsAmortizedCostBasis_7a343721-b81f-4dae-959d-c707582de5fb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughThreeAmortizedCostBasis_20d807f0-c767-494a-8502-e0a196f12382" xlink:href="arr-20231231.xsd#arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughThreeAmortizedCostBasis"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_7c817df5-70d4-4b1d-8225-debf9d82490f" xlink:to="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearTwoThroughThreeAmortizedCostBasis_20d807f0-c767-494a-8502-e0a196f12382" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearFourThroughFiveAmortizedCostBasis_e5ee6b76-51d8-4bf0-9d59-e9ece0fd3153" xlink:href="arr-20231231.xsd#arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearFourThroughFiveAmortizedCostBasis"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_7c817df5-70d4-4b1d-8225-debf9d82490f" xlink:to="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingYearFourThroughFiveAmortizedCostBasis_e5ee6b76-51d8-4bf0-9d59-e9ece0fd3153" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearFiveAmortizedCostBasis_fd803b69-91da-415e-b1ec-6d74750c6ff7" xlink:href="arr-20231231.xsd#arr_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearFiveAmortizedCostBasis"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis_7c817df5-70d4-4b1d-8225-debf9d82490f" xlink:to="loc_arr_AvailableForSaleSecuritiesDebtMaturitiesRollingAfterYearFiveAmortizedCostBasis_fd803b69-91da-415e-b1ec-6d74750c6ff7" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/InvestmentsinSecuritiesScheduleofAvailableforsaleSecuritiesContinuousUnrealizedLossPositionFairValueDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#InvestmentsinSecuritiesScheduleofAvailableforsaleSecuritiesContinuousUnrealizedLossPositionFairValueDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/InvestmentsinSecuritiesScheduleofAvailableforsaleSecuritiesContinuousUnrealizedLossPositionFairValueDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_93bf229e-5a00-4dc2-9294-78c5bb3d9f18" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_d347bbf1-f7de-45f9-b9b6-b5c872789952" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_93bf229e-5a00-4dc2-9294-78c5bb3d9f18" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12MonthsAccumulatedLoss_d347bbf1-f7de-45f9-b9b6-b5c872789952" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_b16c4eec-b5dd-42fa-832e-3473e9f00fc5" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPositionAccumulatedLoss_93bf229e-5a00-4dc2-9294-78c5bb3d9f18" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLongerAccumulatedLoss_b16c4eec-b5dd-42fa-832e-3473e9f00fc5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_64a33dd4-251f-454b-854b-ea21f06dddd1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_66413b77-0568-44ba-bfc3-fcaef7ae1bf4" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_64a33dd4-251f-454b-854b-ea21f06dddd1" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPositionLessThan12Months_66413b77-0568-44ba-bfc3-fcaef7ae1bf4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_aede35f9-8f9b-4c11-a265-dbe47d294949" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DebtSecuritiesAvailableForSaleUnrealizedLossPosition_64a33dd4-251f-454b-854b-ea21f06dddd1" xlink:to="loc_us-gaap_DebtSecuritiesAvailableForSaleContinuousUnrealizedLossPosition12MonthsOrLonger_aede35f9-8f9b-4c11-a265-dbe47d294949" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/RepurchaseAgreementsnetScheduleofReverseRepurchaseAgreementsGrossandNetSecuritiesPurchasedandSoldDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#RepurchaseAgreementsnetScheduleofReverseRepurchaseAgreementsGrossandNetSecuritiesPurchasedandSoldDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/RepurchaseAgreementsnetScheduleofReverseRepurchaseAgreementsGrossandNetSecuritiesPurchasedandSoldDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNet_4dbd3ffe-5dfb-45ef-a1c5-18b101f71b4d" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementCollateralObligationToReturnCashNotOffset_6832632e-cd2f-4af6-9155-cab3bd765020" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementCollateralObligationToReturnCashNotOffset"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNet_4dbd3ffe-5dfb-45ef-a1c5-18b101f71b4d" xlink:to="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementCollateralObligationToReturnCashNotOffset_6832632e-cd2f-4af6-9155-cab3bd765020" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementDeductionOfFinancialInstrumentNotOffset_e5285ac5-91b8-4f81-be7a-e5bb7aeca62b" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementDeductionOfFinancialInstrumentNotOffset"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNet_4dbd3ffe-5dfb-45ef-a1c5-18b101f71b4d" xlink:to="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementDeductionOfFinancialInstrumentNotOffset_e5285ac5-91b8-4f81-be7a-e5bb7aeca62b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNet_c18b1e16-5358-43d3-b323-f6f88ec106dc" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementCollateralObligationToReturnCashNotOffset_2d316a95-0289-40c7-9db7-ed4933373731" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementCollateralObligationToReturnCashNotOffset"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNet_c18b1e16-5358-43d3-b323-f6f88ec106dc" xlink:to="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementCollateralObligationToReturnCashNotOffset_2d316a95-0289-40c7-9db7-ed4933373731" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementDeductionOfFinancialInstrumentNotOffset_0de03d11-df04-4312-a2d9-18282c3f545d" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementDeductionOfFinancialInstrumentNotOffset"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNet_c18b1e16-5358-43d3-b323-f6f88ec106dc" xlink:to="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesSubjectToMasterNettingArrangementDeductionOfFinancialInstrumentNotOffset_0de03d11-df04-4312-a2d9-18282c3f545d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_69364550-2946-43ee-b71b-dfe58074a211" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNet_c18b1e16-5358-43d3-b323-f6f88ec106dc" xlink:to="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_69364550-2946-43ee-b71b-dfe58074a211" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_81ede870-597d-4c36-90ea-a6eb25393e21" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesGross_a646108d-27c6-44a0-98ab-95ed3398cf31" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_81ede870-597d-4c36-90ea-a6eb25393e21" xlink:to="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesGross_a646108d-27c6-44a0-98ab-95ed3398cf31" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesGrossAmountsOffsetInTheConsolidatedBalanceSheet_459d396c-841b-4adb-adc1-048daed7860c" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesGrossAmountsOffsetInTheConsolidatedBalanceSheet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_81ede870-597d-4c36-90ea-a6eb25393e21" xlink:to="loc_arr_DebtSecuritiesAvailableForSaleAndTradingRepurchaseSecuritiesGrossAmountsOffsetInTheConsolidatedBalanceSheet_459d396c-841b-4adb-adc1-048daed7860c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_e7af5841-864f-4aed-8f7b-8e1e8af7c61e" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesGrossAmountsOffsetInTheConsolidatedBalanceSheet_b17aa6b2-872b-4223-a2d9-e677779e66ce" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesGrossAmountsOffsetInTheConsolidatedBalanceSheet"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_e7af5841-864f-4aed-8f7b-8e1e8af7c61e" xlink:to="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesGrossAmountsOffsetInTheConsolidatedBalanceSheet_b17aa6b2-872b-4223-a2d9-e677779e66ce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesGross_ced7d806-4764-4183-86c4-1077723fec1a" xlink:href="arr-20231231.xsd#arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesGross"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesNetAmountsPresentedInTheConsolidatedBalanceSheet_e7af5841-864f-4aed-8f7b-8e1e8af7c61e" xlink:to="loc_arr_DebtSecuritiesAvailableForPurchaseAndTradingRepurchaseSecuritiesGross_ced7d806-4764-4183-86c4-1077723fec1a" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/DerivativesScheduleofOffsettingAssetsDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#DerivativesScheduleofOffsettingAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/DerivativesScheduleofOffsettingAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_e62a0382-82ff-4d62-995b-cef462e5b124" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeAssetFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_70e5b92f-7990-41a4-bcf9-6c490edf458f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeAssets"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeAssetFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_e62a0382-82ff-4d62-995b-cef462e5b124" xlink:to="loc_us-gaap_DerivativeAssets_70e5b92f-7990-41a4-bcf9-6c490edf458f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssetNotOffsetPolicyElectionDeduction_cd611734-aafa-40cc-a0e1-22bf24ad52b3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeAssetNotOffsetPolicyElectionDeduction"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeAssetFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_e62a0382-82ff-4d62-995b-cef462e5b124" xlink:to="loc_us-gaap_DerivativeAssetNotOffsetPolicyElectionDeduction_cd611734-aafa-40cc-a0e1-22bf24ad52b3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeCollateralObligationToReturnCash_25fa2e6e-bffe-462c-b6cd-9b552f454240" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeCollateralObligationToReturnCash"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeAssetFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_e62a0382-82ff-4d62-995b-cef462e5b124" xlink:to="loc_us-gaap_DerivativeCollateralObligationToReturnCash_25fa2e6e-bffe-462c-b6cd-9b552f454240" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/DerivativesScheduleofOffsettingLiabilitiesDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#DerivativesScheduleofOffsettingLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/DerivativesScheduleofOffsettingLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_da784335-47b0-4f63-8bfc-ef8fa83b9c5d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeLiabilityFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilities_0a250a34-ab0d-4d2a-ac00-e803e851af2f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeLiabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeLiabilityFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_da784335-47b0-4f63-8bfc-ef8fa83b9c5d" xlink:to="loc_us-gaap_DerivativeLiabilities_0a250a34-ab0d-4d2a-ac00-e803e851af2f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeLiabilityNotOffsetPolicyElectionDeduction_7cc236bb-6674-4131-b3a8-5c2000fdb489" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeLiabilityNotOffsetPolicyElectionDeduction"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeLiabilityFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_da784335-47b0-4f63-8bfc-ef8fa83b9c5d" xlink:to="loc_us-gaap_DerivativeLiabilityNotOffsetPolicyElectionDeduction_7cc236bb-6674-4131-b3a8-5c2000fdb489" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeCollateralRightToReclaimCash_51b7ee7e-71bf-4dff-800e-c4aa1c6625c6" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_DerivativeCollateralRightToReclaimCash"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DerivativeLiabilityFairValueOffsetAgainstCollateralNetOfNotSubjectToMasterNettingArrangementPolicyElection_da784335-47b0-4f63-8bfc-ef8fa83b9c5d" xlink:to="loc_us-gaap_DerivativeCollateralRightToReclaimCash_51b7ee7e-71bf-4dff-800e-c4aa1c6625c6" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/CommitmentsandContingenciesScheduleofContractualManagementFeeCommitmentsObligationDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#CommitmentsandContingenciesScheduleofContractualManagementFeeCommitmentsObligationDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/CommitmentsandContingenciesScheduleofContractualManagementFeeCommitmentsObligationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligation_27bf1f3a-19aa-4e34-a4ef-d995e486ed7b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ContractualObligation"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInThirdYear_2b237683-bde6-4b84-b154-51cf1fe7fb5b" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ContractualObligationDueInThirdYear"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_27bf1f3a-19aa-4e34-a4ef-d995e486ed7b" xlink:to="loc_us-gaap_ContractualObligationDueInThirdYear_2b237683-bde6-4b84-b154-51cf1fe7fb5b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInSecondYear_f01cd2ed-4a9a-4184-94b1-1b09c2a23d45" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ContractualObligationDueInSecondYear"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_27bf1f3a-19aa-4e34-a4ef-d995e486ed7b" xlink:to="loc_us-gaap_ContractualObligationDueInSecondYear_f01cd2ed-4a9a-4184-94b1-1b09c2a23d45" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_ContractualObligationToBePaidYearSix_328653d3-fcf3-4fa1-823b-2747cab608fd" xlink:href="arr-20231231.xsd#arr_ContractualObligationToBePaidYearSix"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_27bf1f3a-19aa-4e34-a4ef-d995e486ed7b" xlink:to="loc_arr_ContractualObligationToBePaidYearSix_328653d3-fcf3-4fa1-823b-2747cab608fd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInFifthYear_4c94d35f-34bd-4973-b650-981cc5df25e0" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ContractualObligationDueInFifthYear"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_27bf1f3a-19aa-4e34-a4ef-d995e486ed7b" xlink:to="loc_us-gaap_ContractualObligationDueInFifthYear_4c94d35f-34bd-4973-b650-981cc5df25e0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInNextTwelveMonths_c8c4d612-5e87-4bd1-b9f8-53b2097435bb" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ContractualObligationDueInNextTwelveMonths"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_27bf1f3a-19aa-4e34-a4ef-d995e486ed7b" xlink:to="loc_us-gaap_ContractualObligationDueInNextTwelveMonths_c8c4d612-5e87-4bd1-b9f8-53b2097435bb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ContractualObligationDueInFourthYear_949ef5e8-6026-486c-afd5-dafb0b863634" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ContractualObligationDueInFourthYear"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ContractualObligation_27bf1f3a-19aa-4e34-a4ef-d995e486ed7b" xlink:to="loc_us-gaap_ContractualObligationDueInFourthYear_949ef5e8-6026-486c-afd5-dafb0b863634" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/NetIncomeLossperCommonShareDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#NetIncomeLossperCommonShareDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/NetIncomeLossperCommonShareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_e58cd458-2c8d-456d-a420-6480555be7c3" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_852583ea-cff7-4aba-a7b7-2e31bbe9ae50" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_e58cd458-2c8d-456d-a420-6480555be7c3" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_852583ea-cff7-4aba-a7b7-2e31bbe9ae50" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_a171822e-0d41-457d-8423-abcab9d1f36d" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_e58cd458-2c8d-456d-a420-6480555be7c3" xlink:to="loc_us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_a171822e-0d41-457d-8423-abcab9d1f36d" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/ComprehensiveIncomeLossperCommonShareDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#ComprehensiveIncomeLossperCommonShareDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/ComprehensiveIncomeLossperCommonShareDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_arr_WeightedAverageNumberofSharesOutstandingDilutedComprehensiveIncomeLoss_caf3f4a1-8b46-42b6-b64c-fd4b7330bf56" xlink:href="arr-20231231.xsd#arr_WeightedAverageNumberofSharesOutstandingDilutedComprehensiveIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_78e3fd74-68cb-45c1-97b3-eed2be1a7a0e" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_WeightedAverageNumberofSharesOutstandingDilutedComprehensiveIncomeLoss_caf3f4a1-8b46-42b6-b64c-fd4b7330bf56" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_78e3fd74-68cb-45c1-97b3-eed2be1a7a0e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_IncrementalCommonSharesAttributabletoDilutiveEffectofSharebasedPaymentArrangementsComprehensiveIncomeLoss_efbdbdff-91ac-41ee-a868-be613dc69254" xlink:href="arr-20231231.xsd#arr_IncrementalCommonSharesAttributabletoDilutiveEffectofSharebasedPaymentArrangementsComprehensiveIncomeLoss"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_WeightedAverageNumberofSharesOutstandingDilutedComprehensiveIncomeLoss_caf3f4a1-8b46-42b6-b64c-fd4b7330bf56" xlink:to="loc_arr_IncrementalCommonSharesAttributabletoDilutiveEffectofSharebasedPaymentArrangementsComprehensiveIncomeLoss_efbdbdff-91ac-41ee-a868-be613dc69254" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_ComprehensiveIncomeLossAvailableToCommonStockholders_2b5d9be1-dc14-4aa6-8eff-ea0d22963037" xlink:href="arr-20231231.xsd#arr_ComprehensiveIncomeLossAvailableToCommonStockholders"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_f9e90630-b18a-46ed-9b7b-1b50260e24c1" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_ComprehensiveIncomeLossAvailableToCommonStockholders_2b5d9be1-dc14-4aa6-8eff-ea0d22963037" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTax_f9e90630-b18a-46ed-9b7b-1b50260e24c1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact_2ae0f907-72bc-48ce-ba7a-eb364f7b816f" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_PreferredStockDividendsIncomeStatementImpact"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_ComprehensiveIncomeLossAvailableToCommonStockholders_2b5d9be1-dc14-4aa6-8eff-ea0d22963037" xlink:to="loc_us-gaap_PreferredStockDividendsIncomeStatementImpact_2ae0f907-72bc-48ce-ba7a-eb364f7b816f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.armourreit.com/role/IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails" xlink:type="simple" xlink:href="arr-20231231.xsd#IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails"/>
  <link:calculationLink xlink:role="http://www.armourreit.com/role/IncomeTaxesScheduleofEffectiveIncomeTaxRateReconciliationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:href="arr-20231231.xsd#arr_EstimatedREITTaxableIncome"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationImpairmentLossesOnAvailableForSaleAgencySecurities_f24ad125-5d5b-47e0-9123-51b6ef82eaf5" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationImpairmentLossesOnAvailableForSaleAgencySecurities"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationImpairmentLossesOnAvailableForSaleAgencySecurities_f24ad125-5d5b-47e0-9123-51b6ef82eaf5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationGainsLossesOnAvailableForSaleSecurities_67b97ad0-d96d-4257-b3ac-32d4e9e74bb6" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationGainsLossesOnAvailableForSaleSecurities"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationGainsLossesOnAvailableForSaleSecurities_67b97ad0-d96d-4257-b3ac-32d4e9e74bb6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationTradingSecuritiesAgency_f8918538-06db-47ff-8c22-cd457cb10d8d" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationTradingSecuritiesAgency"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationTradingSecuritiesAgency_f8918538-06db-47ff-8c22-cd457cb10d8d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationOtherAdjustments_112c7fbc-3ce8-4b29-89f3-30f25bb27e98" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationOtherAdjustments"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationOtherAdjustments_112c7fbc-3ce8-4b29-89f3-30f25bb27e98" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationTradingSecuritiesUSTreasurySecurities_5cb580eb-9582-42ab-ad58-773611be98f3" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationTradingSecuritiesUSTreasurySecurities"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationTradingSecuritiesUSTreasurySecurities_5cb580eb-9582-42ab-ad58-773611be98f3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationReversalofIncome_e8341926-b97f-40db-b1c4-e9984c621f81" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationReversalofIncome"/>
    <link:calculationArc order="6" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationReversalofIncome_e8341926-b97f-40db-b1c4-e9984c621f81" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationChangesInDerivatives_c6fa7927-6901-4e25-a727-e2ebb95bce0b" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationChangesInDerivatives"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationChangesInDerivatives_c6fa7927-6901-4e25-a727-e2ebb95bce0b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationAmortizationOfFinancingCostsAndDiscounts_a053a5c2-4d96-4bf6-9009-51564a64891b" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationAmortizationOfFinancingCostsAndDiscounts"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationAmortizationOfFinancingCostsAndDiscounts_a053a5c2-4d96-4bf6-9009-51564a64891b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationPremiumAmortizationExpense_d431bc50-8c75-4984-91cf-9b676311b544" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationPremiumAmortizationExpense"/>
    <link:calculationArc order="9" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationPremiumAmortizationExpense_d431bc50-8c75-4984-91cf-9b676311b544" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_0a1c6577-18f3-4055-a1b6-92f69ff264cf" xlink:href="https://xbrl.fasb.org/us-gaap/2023/elts/us-gaap-2023.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_us-gaap_NetIncomeLoss_0a1c6577-18f3-4055-a1b6-92f69ff264cf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_arr_EffectiveTaxableIncomeReconciliationAmortizationOfDeferredTreasuryFutureGains_8300b096-d6a1-436a-a588-b065a8cff7fc" xlink:href="arr-20231231.xsd#arr_EffectiveTaxableIncomeReconciliationAmortizationOfDeferredTreasuryFutureGains"/>
    <link:calculationArc order="11" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_arr_EstimatedREITTaxableIncome_7e83e549-4f13-4113-903d-4cc265159713" xlink:to="loc_arr_EffectiveTaxableIncomeReconciliationAmortizationOfDeferredTreasuryFutureGains_8300b096-d6a1-436a-a588-b065a8cff7fc" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
