How we calculate · Home affordability
How the home affordability calculator works
Clear budget math for learning—not a pre-approval.
Tool: Home affordability calculator · Embed · All how-we-calculate pages · Questions
Purpose
Estimate a sample maximum home price from gross income, other monthly debts, front-end and back-end DTI sample percentages you type, mortgage rate, term, down payment percent, and optional tax/insurance/HOA. Educational only.
Housing budget from sample DTI caps
- Front-end housing max:
monthlyGross × (frontEndDti% / 100) -
Back-end housing max:
monthlyGross × (backEndDti% / 100) − otherMonthlyDebts(floored at 0) - Max total housing payment: the smaller of those two (when both are set)
- Max P&I: max housing − (tax + insurance + HOA)
Reverse amortization to loan and price
For monthly rate r and n months, max loan for target P&I payment M:
P = M × ((1+r)^n − 1) / (r × (1+r)^n) when r > 0; otherwise M × n.
Max home price: P / (1 − downPaymentPercent/100). Down payment dollars: price × down %.
What we intentionally leave out
- Credit scores, reserves, gift funds, and lender overlays
- Live rates, PMI formulas, and underwriting decisions
- Closing costs, renovation, and local market pricing
- Tax filing status or take-home pay modeling
Related
Last reviewed: August 9, 2026.
YMYL notice: This site is for education only. It is not financial, tax, or investment advice. Nestfigure is not a bank, credit union, broker, investment adviser, or fiduciary. Product terms, rates, and penalties vary—always read your institution’s disclosures before acting. Calculator results are mathematical estimates, not bank quotes.