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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a05df6-3983-7db6-856f-7e9420ed6d1c,g:7b767f83-8cb7-4ba5-82ad-70095f32b02b-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd">
  <link:arcroleRef arcroleURI="https://xbrl.org/2023/arcrole/summation-item" xlink:type="simple" xlink:href="https://www.xbrl.org/2023/calculation-1.1.xsd#summation-item"/>
  <link:roleRef roleURI="http://rithmcap.com/role/CONSOLIDATEDBALANCESHEETS" xlink:type="simple" xlink:href="rhome-20260930.xsd#CONSOLIDATEDBALANCESHEETS"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/CONSOLIDATEDBALANCESHEETS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_01a05df6-3a53-760e-8674-03ba34ac67c6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_SecuredFinancingsAtFairValue_01a05df6-3a53-7189-a057-27376a1b48a6" xlink:href="rhome-20260930.xsd#rhome_SecuredFinancingsAtFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a05df6-3a53-760e-8674-03ba34ac67c6" xlink:to="loc_rhome_SecuredFinancingsAtFairValue_01a05df6-3a53-7189-a057-27376a1b48a6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilities_01a05df6-3a53-7c1a-999d-de7b7249fc98" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLiabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a05df6-3a53-760e-8674-03ba34ac67c6" xlink:to="loc_us-gaap_OtherLiabilities_01a05df6-3a53-7c1a-999d-de7b7249fc98" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_01a05df6-3a53-797d-8315-0c457e28f3b7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a05df6-3a53-760e-8674-03ba34ac67c6" xlink:to="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_01a05df6-3a53-797d-8315-0c457e28f3b7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_01a05df6-3a53-76e4-821e-cd4dc486b9dc" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_01a05df6-3a53-7189-a41f-ec5d50ccaa7e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_01a05df6-3a53-76e4-821e-cd4dc486b9dc" xlink:to="loc_us-gaap_CommonStockValue_01a05df6-3a53-7189-a41f-ec5d50ccaa7e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_01a05df6-3a53-7f03-9dde-2d88787e2ca1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_01a05df6-3a53-76e4-821e-cd4dc486b9dc" xlink:to="loc_us-gaap_AdditionalPaidInCapital_01a05df6-3a53-7f03-9dde-2d88787e2ca1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_01a05df6-3a53-794e-b5d6-5b75b024c230" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_01a05df6-3a53-76e4-821e-cd4dc486b9dc" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_01a05df6-3a53-794e-b5d6-5b75b024c230" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_01a05df6-3a53-7356-bf65-6f9180ed68c8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_ResidentialTransitionLoansReceivableFairValue_01a05df6-3a53-7785-aaa0-1590f8e3ef69" xlink:href="rhome-20260930.xsd#rhome_ResidentialTransitionLoansReceivableFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3a53-7356-bf65-6f9180ed68c8" xlink:to="loc_rhome_ResidentialTransitionLoansReceivableFairValue_01a05df6-3a53-7785-aaa0-1590f8e3ef69" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_ResidentialMortgageLoansReceivableFairValue_01a05df6-3a53-7124-9b04-4c266846196d" xlink:href="rhome-20260930.xsd#rhome_ResidentialMortgageLoansReceivableFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3a53-7356-bf65-6f9180ed68c8" xlink:to="loc_rhome_ResidentialMortgageLoansReceivableFairValue_01a05df6-3a53-7124-9b04-4c266846196d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a05df6-3a53-7b27-b01b-e9d61caef2c8" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3a53-7356-bf65-6f9180ed68c8" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a05df6-3a53-7b27-b01b-e9d61caef2c8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCash_01a05df6-3a53-73df-8382-8930639d4710" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCash"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3a53-7356-bf65-6f9180ed68c8" xlink:to="loc_us-gaap_RestrictedCash_01a05df6-3a53-73df-8382-8930639d4710" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_01a05df6-3a53-7819-a77c-1a5588fa7ea5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsAndOtherReceivablesNetCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3a53-7356-bf65-6f9180ed68c8" xlink:to="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_01a05df6-3a53-7819-a77c-1a5588fa7ea5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_01a119ab-7eef-73a4-84c1-acd07cff6100" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssets"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3a53-7356-bf65-6f9180ed68c8" xlink:to="loc_us-gaap_DerivativeAssets_01a119ab-7eef-73a4-84c1-acd07cff6100" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a05df6-3a53-7322-a872-3d35c191ad25" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_01a05df6-3a53-711f-8459-60be87a3f464" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a05df6-3a53-7322-a872-3d35c191ad25" xlink:to="loc_us-gaap_Liabilities_01a05df6-3a53-711f-8459-60be87a3f464" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_01a05df6-3a53-7d6c-bca4-e1196117d9be" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a05df6-3a53-7322-a872-3d35c191ad25" xlink:to="loc_us-gaap_CommitmentsAndContingencies_01a05df6-3a53-7d6c-bca4-e1196117d9be" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_01a05df6-3a53-7db7-a7af-fcb1cc6103c9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_01a05df6-3a53-7322-a872-3d35c191ad25" xlink:to="loc_us-gaap_StockholdersEquity_01a05df6-3a53-7db7-a7af-fcb1cc6103c9" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://rithmcap.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONSUNAUDITED" xlink:type="simple" xlink:href="rhome-20260930.xsd#CONSOLIDATEDSTATEMENTSOFOPERATIONSUNAUDITED"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONSUNAUDITED" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_01a05df6-3a53-7d05-afe2-35757e38a0d7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Revenues"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueNotFromContractWithCustomerOther_01a11a5d-d27f-77fd-9214-2006f67c7dde" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RevenueNotFromContractWithCustomerOther"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_01a05df6-3a53-7d05-afe2-35757e38a0d7" xlink:to="loc_us-gaap_RevenueNotFromContractWithCustomerOther_01a11a5d-d27f-77fd-9214-2006f67c7dde" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestAndFeeIncomeLoansAndLeases_01a05df6-3a53-7711-ac7b-fcc2543fb883" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestAndFeeIncomeLoansAndLeases"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Revenues_01a05df6-3a53-7d05-afe2-35757e38a0d7" xlink:to="loc_us-gaap_InterestAndFeeIncomeLoansAndLeases_01a05df6-3a53-7711-ac7b-fcc2543fb883" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_01a05df6-3a53-7f54-9129-e6f4cce79da3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_01a05df6-3a53-7120-85ee-d906a6569ad3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Revenues"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_01a05df6-3a53-7f54-9129-e6f4cce79da3" xlink:to="loc_us-gaap_Revenues_01a05df6-3a53-7120-85ee-d906a6569ad3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_01a05df6-3a53-73e6-b3da-a65841cf0932" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_01a05df6-3a53-7f54-9129-e6f4cce79da3" xlink:to="loc_us-gaap_OperatingExpenses_01a05df6-3a53-73e6-b3da-a65841cf0932" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_01a05df6-3a53-71f1-b0bf-625573cc9065" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_01a05df6-3a53-7f54-9129-e6f4cce79da3" xlink:to="loc_us-gaap_OperatingIncomeLoss_01a05df6-3a53-71f1-b0bf-625573cc9065" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_01a05df6-3a53-7f69-84df-360e9fe97974" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseOperating_01a05df6-3a53-733e-9eaf-a4b8ceb9a4c7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestExpenseOperating"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_01a05df6-3a53-7f69-84df-360e9fe97974" xlink:to="loc_us-gaap_InterestExpenseOperating_01a05df6-3a53-733e-9eaf-a4b8ceb9a4c7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense_01a05df6-3a53-7736-9f96-34fbbccfabd9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GeneralAndAdministrativeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_01a05df6-3a53-7f69-84df-360e9fe97974" xlink:to="loc_us-gaap_GeneralAndAdministrativeExpense_01a05df6-3a53-7736-9f96-34fbbccfabd9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ManagementFeeExpense_01a05df6-3a53-7501-bf0c-ca97679d5271" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ManagementFeeExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_01a05df6-3a53-7f69-84df-360e9fe97974" xlink:to="loc_us-gaap_ManagementFeeExpense_01a05df6-3a53-7501-bf0c-ca97679d5271" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_FinancingAndOtherFees_01a05df6-3a53-7521-84f0-298ab44d9fd9" xlink:href="rhome-20260930.xsd#rhome_FinancingAndOtherFees"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_01a05df6-3a53-7f69-84df-360e9fe97974" xlink:to="loc_rhome_FinancingAndOtherFees_01a05df6-3a53-7521-84f0-298ab44d9fd9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_01a1c60c-c2e4-712f-9769-defd9dbdf7d3" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Revenues_01a1c60c-c2e4-786a-a874-020b7196e2a4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Revenues"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_01a1c60c-c2e4-712f-9769-defd9dbdf7d3" xlink:to="loc_us-gaap_Revenues_01a1c60c-c2e4-786a-a874-020b7196e2a4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_01a1c60c-c2e4-7f7c-bc26-f0760171696d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_01a1c60c-c2e4-712f-9769-defd9dbdf7d3" xlink:to="loc_us-gaap_OperatingExpenses_01a1c60c-c2e4-7f7c-bc26-f0760171696d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_01a1c60c-c2e4-761c-a4c9-394b177d497a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_01a1c60c-c2e4-712f-9769-defd9dbdf7d3" xlink:to="loc_us-gaap_OperatingIncomeLoss_01a1c60c-c2e4-761c-a4c9-394b177d497a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_01a05df6-3a53-72a6-9050-0bb279e58ff7" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_01a11a5d-54f1-7110-9061-5c6227241470" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GainLossOnDerivativeInstrumentsNetPretax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_01a05df6-3a53-72a6-9050-0bb279e58ff7" xlink:to="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_01a11a5d-54f1-7110-9061-5c6227241470" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_RealizedAndUnrealizedGainLossOnLoansReceivableAtFairValue_01a05df6-3a53-78dd-8144-20fb9d55a07b" xlink:href="rhome-20260930.xsd#rhome_RealizedAndUnrealizedGainLossOnLoansReceivableAtFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_01a05df6-3a53-72a6-9050-0bb279e58ff7" xlink:to="loc_rhome_RealizedAndUnrealizedGainLossOnLoansReceivableAtFairValue_01a05df6-3a53-78dd-8144-20fb9d55a07b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://rithmcap.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWSUNAUDITED" xlink:type="simple" xlink:href="rhome-20260930.xsd#CONSOLIDATEDSTATEMENTSOFCASHFLOWSUNAUDITED"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWSUNAUDITED" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a05df6-3b02-7ec1-95db-f23e796d7ed4" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_ResidentialTransitionalLoanOriginationAndFundingActivities_01a05df6-3b02-7c8d-891f-47965b1ad787" xlink:href="rhome-20260930.xsd#rhome_ResidentialTransitionalLoanOriginationAndFundingActivities"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a05df6-3b02-7ec1-95db-f23e796d7ed4" xlink:to="loc_rhome_ResidentialTransitionalLoanOriginationAndFundingActivities_01a05df6-3b02-7c8d-891f-47965b1ad787" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_ResidentialMortgageLoanOriginationAndFundingActivities_01a05df6-3b02-7849-b6d6-4be6dce51a34" xlink:href="rhome-20260930.xsd#rhome_ResidentialMortgageLoanOriginationAndFundingActivities"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a05df6-3b02-7ec1-95db-f23e796d7ed4" xlink:to="loc_rhome_ResidentialMortgageLoanOriginationAndFundingActivities_01a05df6-3b02-7849-b6d6-4be6dce51a34" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_ResidentialTransitionalLoanPaydowns_01a05df6-3b02-7aba-8e44-6fb1a3dc5af8" xlink:href="rhome-20260930.xsd#rhome_ResidentialTransitionalLoanPaydowns"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a05df6-3b02-7ec1-95db-f23e796d7ed4" xlink:to="loc_rhome_ResidentialTransitionalLoanPaydowns_01a05df6-3b02-7aba-8e44-6fb1a3dc5af8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_ResidentialMortgageLoanPaydowns_01a05df6-3b02-799b-acc0-fe702f73ce55" xlink:href="rhome-20260930.xsd#rhome_ResidentialMortgageLoanPaydowns"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a05df6-3b02-7ec1-95db-f23e796d7ed4" xlink:to="loc_rhome_ResidentialMortgageLoanPaydowns_01a05df6-3b02-799b-acc0-fe702f73ce55" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_01a05df6-3b02-7ca3-b297-90e2c10d554e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a05df6-3b02-760a-ba69-8b87e3490b22" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_01a05df6-3b02-7ca3-b297-90e2c10d554e" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_01a05df6-3b02-760a-ba69-8b87e3490b22" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashAndCashEquivalents_01a05df6-3b02-7127-8771-512c74c3657c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCashAndCashEquivalents"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents_01a05df6-3b02-7ca3-b297-90e2c10d554e" xlink:to="loc_us-gaap_RestrictedCashAndCashEquivalents_01a05df6-3b02-7127-8771-512c74c3657c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_01a05df6-3b02-75ec-bc74-1815d4cc908c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:to="loc_us-gaap_NetIncomeLoss_01a05df6-3b02-75ec-bc74-1815d4cc908c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_RealizedAndUnrealizedGainLossOnLoansReceivableAtFairValue_01a05df6-3b02-7237-98aa-af24d457a75a" xlink:href="rhome-20260930.xsd#rhome_RealizedAndUnrealizedGainLossOnLoansReceivableAtFairValue"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:to="loc_rhome_RealizedAndUnrealizedGainLossOnLoansReceivableAtFairValue_01a05df6-3b02-7237-98aa-af24d457a75a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_01a05df6-3b02-7eec-9cdb-eefb5bfad8ba" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_GainLossOnDerivativeInstrumentsNetPretax"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:to="loc_us-gaap_GainLossOnDerivativeInstrumentsNetPretax_01a05df6-3b02-7eec-9cdb-eefb5bfad8ba" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_01a05df6-3b02-7ec9-a3bf-56ac7e0fbe0e" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:to="loc_us-gaap_ShareBasedCompensation_01a05df6-3b02-7ec9-a3bf-56ac7e0fbe0e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivableAndOtherOperatingAssets_01a05df6-3b02-78a2-b027-c0cec7261d49" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccountsReceivableAndOtherOperatingAssets"/>
    <link:calculationArc order="5" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivableAndOtherOperatingAssets_01a05df6-3b02-78a2-b027-c0cec7261d49" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_01a05df6-3b02-7a93-8d80-01a01c29af1d" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_01a05df6-3b02-7a93-8d80-01a01c29af1d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDueToRelatedParties_01a11a30-0076-7f25-afc8-04e6eead4342" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_IncreaseDecreaseInDueToRelatedParties"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-79a0-b347-af560345ac84" xlink:to="loc_us-gaap_IncreaseDecreaseInDueToRelatedParties_01a11a30-0076-7f25-afc8-04e6eead4342" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a05df6-3b02-7cdb-bef0-77bff3253b8c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_01a05df6-3b02-7aa7-a45b-f98269dd195c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromLongTermLinesOfCredit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a05df6-3b02-7cdb-bef0-77bff3253b8c" xlink:to="loc_us-gaap_ProceedsFromLongTermLinesOfCredit_01a05df6-3b02-7aa7-a45b-f98269dd195c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RepaymentsOfLongTermLinesOfCredit_01a05df6-3b02-770d-88fa-20757696930b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RepaymentsOfLongTermLinesOfCredit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a05df6-3b02-7cdb-bef0-77bff3253b8c" xlink:to="loc_us-gaap_RepaymentsOfLongTermLinesOfCredit_01a05df6-3b02-770d-88fa-20757696930b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_01a05df6-3b02-7011-bccf-cac83f8676ee" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a05df6-3b02-7cdb-bef0-77bff3253b8c" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_01a05df6-3b02-7011-bccf-cac83f8676ee" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsOfDividends_01a111a3-c1d7-79cb-a8da-c2f7fbb66ddb" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_PaymentsOfDividends"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a05df6-3b02-7cdb-bef0-77bff3253b8c" xlink:to="loc_us-gaap_PaymentsOfDividends_01a111a3-c1d7-79cb-a8da-c2f7fbb66ddb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a05df6-3b02-78d6-ba23-9de909177889" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-76d2-9e79-19bb0513fb61" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a05df6-3b02-78d6-ba23-9de909177889" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_01a05df6-3b02-76d2-9e79-19bb0513fb61" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a05df6-3b02-7925-a2d1-54779223b6d1" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a05df6-3b02-78d6-ba23-9de909177889" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_01a05df6-3b02-7925-a2d1-54779223b6d1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a05df6-3b02-743a-a57b-b2bbafa52cd9" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_01a05df6-3b02-78d6-ba23-9de909177889" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_01a05df6-3b02-743a-a57b-b2bbafa52cd9" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://rithmcap.com/role/OTHERASSETSANDOTHERLIABILITIESScheduleofAccountsReceivableandOtherAssetsDetails" xlink:type="simple" xlink:href="rhome-20260930.xsd#OTHERASSETSANDOTHERLIABILITIESScheduleofAccountsReceivableandOtherAssetsDetails"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/OTHERASSETSANDOTHERLIABILITIESScheduleofAccountsReceivableandOtherAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_01a05df6-3b02-715c-841c-bfe4323946ea" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsAndOtherReceivablesNetCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestReceivable_01a05df6-3b02-796c-a1c9-42496e74332b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestReceivable"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_01a05df6-3b02-715c-841c-bfe4323946ea" xlink:to="loc_us-gaap_InterestReceivable_01a05df6-3b02-796c-a1c9-42496e74332b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsReceivableNetCurrent_01a1153d-7880-7fdd-b783-2b113dbd435f" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsReceivableNetCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_01a05df6-3b02-715c-841c-bfe4323946ea" xlink:to="loc_us-gaap_AccountsReceivableNetCurrent_01a1153d-7880-7fdd-b783-2b113dbd435f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://rithmcap.com/role/OTHERASSETSANDOTHERLIABILITIESScheduleofAccountsPayableandOtherLiabilitiesDetails" xlink:type="simple" xlink:href="rhome-20260930.xsd#OTHERASSETSANDOTHERLIABILITIESScheduleofAccountsPayableandOtherLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/OTHERASSETSANDOTHERLIABILITIESScheduleofAccountsPayableandOtherLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_01a05df6-3b02-73ac-b781-f144837f5c1c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestPayableCurrentAndNoncurrent_01a05df6-3b02-715a-962d-e55da439d240" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_InterestPayableCurrentAndNoncurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_01a05df6-3b02-73ac-b781-f144837f5c1c" xlink:to="loc_us-gaap_InterestPayableCurrentAndNoncurrent_01a05df6-3b02-715a-962d-e55da439d240" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DistributionPayable_01a05df6-3b02-7908-ba82-164605ad4466" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DistributionPayable"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_01a05df6-3b02-73ac-b781-f144837f5c1c" xlink:to="loc_us-gaap_DistributionPayable_01a05df6-3b02-7908-ba82-164605ad4466" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_AccruedCommissionsAndFeesCurrent_01a1195e-6f0a-74dd-a2ee-ce1406c05a5f" xlink:href="rhome-20260930.xsd#rhome_AccruedCommissionsAndFeesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AccountsPayableAndAccruedLiabilitiesCurrentAndNoncurrent_01a05df6-3b02-73ac-b781-f144837f5c1c" xlink:to="loc_rhome_AccruedCommissionsAndFeesCurrent_01a1195e-6f0a-74dd-a2ee-ce1406c05a5f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://rithmcap.com/role/FAIRVALUEMEASUREMENTSScheduleofFairValueAssetsandLiabilitiesMeasuredonRecurringBasisDetails" xlink:type="simple" xlink:href="rhome-20260930.xsd#FAIRVALUEMEASUREMENTSScheduleofFairValueAssetsandLiabilitiesMeasuredonRecurringBasisDetails"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/FAIRVALUEMEASUREMENTSScheduleofFairValueAssetsandLiabilitiesMeasuredonRecurringBasisDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsFairValueDisclosure_01a05df6-3b02-764a-99e0-fe143fc17c3c" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AssetsFairValueDisclosure"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DerivativeAssets_01a12a7e-cf58-7038-9521-688158369bbe" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DerivativeAssets"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_01a05df6-3b02-764a-99e0-fe143fc17c3c" xlink:to="loc_us-gaap_DerivativeAssets_01a12a7e-cf58-7038-9521-688158369bbe" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MortgagesHeldForSaleFairValueDisclosure_01a05df6-3b02-7b03-b324-1a5533daba6b" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_MortgagesHeldForSaleFairValueDisclosure"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsFairValueDisclosure_01a05df6-3b02-764a-99e0-fe143fc17c3c" xlink:to="loc_us-gaap_MortgagesHeldForSaleFairValueDisclosure_01a05df6-3b02-7b03-b324-1a5533daba6b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesFairValueDisclosure_01a05df6-3b02-7df9-8a8b-13359d2ef148" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_LiabilitiesFairValueDisclosure"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DebtInstrumentFairValue_01a05df6-3b02-7af2-b404-4ec664103a05" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_DebtInstrumentFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesFairValueDisclosure_01a05df6-3b02-7df9-8a8b-13359d2ef148" xlink:to="loc_us-gaap_DebtInstrumentFairValue_01a05df6-3b02-7af2-b404-4ec664103a05" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://rithmcap.com/role/VARIABLEINTERESTENTITIESDetails" xlink:type="simple" xlink:href="rhome-20260930.xsd#VARIABLEINTERESTENTITIESDetails"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/VARIABLEINTERESTENTITIESDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_01a05df6-3b02-7105-ac14-d72bc1ca0614" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_SecuredFinancingsAtFairValue_01a05df6-3b02-762b-9412-79f0691c6665" xlink:href="rhome-20260930.xsd#rhome_SecuredFinancingsAtFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a05df6-3b02-7105-ac14-d72bc1ca0614" xlink:to="loc_rhome_SecuredFinancingsAtFairValue_01a05df6-3b02-762b-9412-79f0691c6665" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilities_01a05df6-3b02-76a9-aecd-b708eb30ea5a" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLiabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a05df6-3b02-7105-ac14-d72bc1ca0614" xlink:to="loc_us-gaap_OtherLiabilities_01a05df6-3b02-76a9-aecd-b708eb30ea5a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities_01a05df6-3b02-7ae7-927d-0698fc25cbae" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsPayableAndOtherAccruedLiabilities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_01a05df6-3b02-7105-ac14-d72bc1ca0614" xlink:to="loc_us-gaap_AccountsPayableAndOtherAccruedLiabilities_01a05df6-3b02-7ae7-927d-0698fc25cbae" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_01a05df6-3b02-7062-a34b-82b412aca006" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_TransitionalLoansReceivableFairValue_01a05df6-3b02-7df5-b211-c83c74ada26a" xlink:href="rhome-20260930.xsd#rhome_TransitionalLoansReceivableFairValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3b02-7062-a34b-82b412aca006" xlink:to="loc_rhome_TransitionalLoansReceivableFairValue_01a05df6-3b02-7df5-b211-c83c74ada26a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_MortgageLoansReceivableFairValue_01a05df6-3b02-7efd-8146-a0e284ee4b1a" xlink:href="rhome-20260930.xsd#rhome_MortgageLoansReceivableFairValue"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3b02-7062-a34b-82b412aca006" xlink:to="loc_rhome_MortgageLoansReceivableFairValue_01a05df6-3b02-7efd-8146-a0e284ee4b1a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCash_01a05df6-3b02-7354-9cef-78a21947e8e6" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_RestrictedCash"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3b02-7062-a34b-82b412aca006" xlink:to="loc_us-gaap_RestrictedCash_01a05df6-3b02-7354-9cef-78a21947e8e6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_01a05df6-3b02-7b9b-b989-e9dd08c7e5c5" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_AccountsAndOtherReceivablesNetCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_01a05df6-3b02-7062-a34b-82b412aca006" xlink:to="loc_us-gaap_AccountsAndOtherReceivablesNetCurrent_01a05df6-3b02-7b9b-b989-e9dd08c7e5c5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://rithmcap.com/role/RELATEDPARTYTRANSACTIONSScheduleofDuetoRelatedPartiesDetails" xlink:type="simple" xlink:href="rhome-20260930.xsd#RELATEDPARTYTRANSACTIONSScheduleofDuetoRelatedPartiesDetails"/>
  <link:calculationLink xlink:role="http://rithmcap.com/role/RELATEDPARTYTRANSACTIONSScheduleofDuetoRelatedPartiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilities_01a05df6-3b02-7afc-be0f-894edf765e24" xlink:href="https://xbrl.fasb.org/us-gaap/2026/elts/us-gaap-2026.xsd#us-gaap_OtherLiabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_DueToFromServicer_01a05df6-3b02-7a83-9d79-82823f9a864a" xlink:href="rhome-20260930.xsd#rhome_DueToFromServicer"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherLiabilities_01a05df6-3b02-7afc-be0f-894edf765e24" xlink:to="loc_rhome_DueToFromServicer_01a05df6-3b02-7a83-9d79-82823f9a864a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_DueToAdvisor_01a05df6-3b02-7427-8aba-929b5214506e" xlink:href="rhome-20260930.xsd#rhome_DueToAdvisor"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherLiabilities_01a05df6-3b02-7afc-be0f-894edf765e24" xlink:to="loc_rhome_DueToAdvisor_01a05df6-3b02-7427-8aba-929b5214506e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_DistributionFeePayable_01a05df6-3b02-753f-b6a0-cb5191eda0a4" xlink:href="rhome-20260930.xsd#rhome_DistributionFeePayable"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherLiabilities_01a05df6-3b02-7afc-be0f-894edf765e24" xlink:to="loc_rhome_DistributionFeePayable_01a05df6-3b02-753f-b6a0-cb5191eda0a4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_rhome_TrusteeFeePayable_01a05df6-3b02-7614-9483-7c57c51111d9" xlink:href="rhome-20260930.xsd#rhome_TrusteeFeePayable"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="https://xbrl.org/2023/arcrole/summation-item" xlink:from="loc_us-gaap_OtherLiabilities_01a05df6-3b02-7afc-be0f-894edf765e24" xlink:to="loc_rhome_TrusteeFeePayable_01a05df6-3b02-7614-9483-7c57c51111d9" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
