Mortgage Affordability Calculator
Find the maximum home price you can responsibly afford using the lender-standard 28/36 debt-to-income rule. The calculator computes both the front-end limit (housing ≤ 28% of gross) and the back-end limit (housing + debts ≤ 36%), then takes the lower of the two and includes property tax, homeowner's insurance, PMI, and HOA in the PITI computation.
Inputs Explained
- Annual Gross Income: Pre-tax household income.
- Monthly Debts: Minimum payments on car loans, student loans, credit cards, etc. (Don't include rent.)
- Down Payment: Cash you'll bring to closing; below 20% triggers PMI.
- Loan Term: Most US mortgages are 30 years; 15 and 20 are alternatives.
- Interest Rate: Quoted APR on the new mortgage.
- Property Tax %: Annual property-tax rate as % of home value (US national average ~1.1%).
- HOI / yr: Homeowner's insurance, typical $1,200/yr.
- HOA / mo: Optional condo or community fee.
- DTI Caps: Front-end (28%) and back-end (36%) defaults; some lenders allow 36/43 or higher.
How it Works
Two limits are computed, and the lower wins. Front-end: max housing payment = gross_monthly × front_end_dti. Back-end: max housing payment = (gross_monthly × back_end_dti) − existing_debts. Subtract estimated property tax/12, HOI/12, HOA, and PMI to get the principal-and-interest budget; back into the loan amount; add the down payment to get the max home price.
The Formula
Max_Housing_FE = Gross_Monthly × 0.28 Max_Housing_BE = Gross_Monthly × 0.36 − Existing_Debts Max_Housing = min(FE, BE) Max_PI = Max_Housing − tax/12 − HOI/12 − HOA − PMI Loan_Amount = Max_PI × [(1+r)^n − 1] / [r × (1+r)^n] Max_Home_Price = Loan_Amount + Down_Payment
Last reviewed: May 2026
Mortgage Affordability Calculator
28/36 DTI rule · max home price · monthly PITI breakdown
Frequently Asked Questions
A common rule: home price 3-5x annual gross income with 20% down. Example: $100,000 income suggests affordable home around $300,000-$500,000. But income alone isn't enough — also factor existing debts, down payment, interest rates, taxes, and insurance. The 28/36 rule is more precise: housing costs ≤ 28% of gross monthly income; total debt ≤ 36%. With $100,000 income ($8,333/month), max housing payment is ~$2,333. At 6.5% rate, 30 years, 20% down — that supports a home around $380,000. The calculator gives a personalized affordability range based on your full financial picture.
The 28/36 rule: housing costs (PITI — principal, interest, taxes, insurance) should be no more than 28% of gross monthly income, and total debt payments (housing + car + student loans + credit cards) no more than 36%. Example: $9,000 monthly gross income — housing ≤ $2,520, total debt ≤ $3,240. If you have $500/month in other debt, max housing is $2,740. Lenders use this to qualify mortgages. Going above 36% strains finances even if a lender approves. Aggressive borrowers stretch to 40-45%, but that often leads to house-poor outcomes. The calculator applies these ratios to your specific income.
Debt-to-Income (DTI) = Total monthly debt payments / Gross monthly income. Lenders typically want DTI under 43%, ideally below 36%. Example: $8,000 monthly income, $500 car loan, $300 student loan, $200 credit card minimums = $1,000 existing debt. Mortgage payment $2,000 brings total debt to $3,000 — DTI = 37.5%. Higher DTI means smaller mortgage approval and worse rates. Pay down high-interest debt before applying. Even minimum credit card payments hurt DTI. Auto loans and student loans count fully. The calculator shows how much DTI changes affect home affordability.
Conventional loans typically require 5-20% down. 20% down avoids PMI (Private Mortgage Insurance, ~0.5-1.5% annually). FHA loans allow 3.5% down for qualifying buyers. VA loans (military) allow 0% down. Example: $400,000 home at 20% down = $80,000 down payment + closing costs (~$8,000-$12,000). At 5% down, you'd put $20,000 but pay PMI of ~$200/month until reaching 20% equity. Larger down payment lowers monthly payment, total interest, and avoids PMI. But don't drain emergency funds — keep 3-6 months of expenses liquid. The calculator shows affordability at various down payment levels.
PITI = Principal + Interest + Taxes + Insurance. The complete monthly housing cost lenders use to qualify you. Principal/interest is the loan repayment; property taxes vary by location (1-2.5% of home value annually); homeowners insurance ($1,000-$3,000 annually); plus PMI if down payment under 20%. Example: $350,000 home, $280,000 loan at 6.5%, 30 years. P&I = $1,770/month. Property tax $400/month, insurance $125/month, PMI $200/month. Total PITI = $2,495. Always budget on PITI, not just principal-and-interest, otherwise the real cost feels higher than expected. The calculator includes all four components.
PMI typically costs 0.5-1.5% of loan amount annually, paid monthly. Example: $300,000 loan at 1% PMI = $3,000/year or $250/month. PMI raises your monthly payment, reducing how much house you can afford under the 28/36 rule. With $2,800 max housing budget, $250 of PMI eats into available principal-and-interest budget — reducing affordable home price. PMI drops off automatically at 78% LTV, or you can request removal at 80%. Some buyers prefer paying it temporarily to get into a home sooner; others save for full 20% down. The calculator factors PMI into affordability scenarios.
Yes, if both incomes are stable and both will be on the loan. Combined income raises DTI capacity and affordability. Example: solo income $80,000 supports ~$300,000 home; combined $140,000 supports ~$500,000+. But if one spouse has poor credit, joint application may hurt rate qualification. Some couples apply with only the higher-credit spouse to get a better rate, accepting a smaller loan. Income stability matters — variable income (commission, freelance) is harder to qualify. Lenders typically want 2 years of income history. Always weigh affordability vs strain on the better-earning spouse if one income is lost. The calculator handles dual-income scenarios.
Understanding the Mortgage Affordability Calculator
Worked Example
Anna and Sam earn $120,000 jointly with $500/month in car-loan and student-loan payments. They have $50,000 saved for down payment.
- Gross monthly: $10,000
- Front-end max (28%): $2,800/mo housing
- Back-end max (36%): $3,600 − $500 = $3,100/mo housing
- Lower limit: $2,800/mo drives the cap
- Subtract: tax $300 + HOI $100 + PMI ~$140 = $540 → P&I budget $2,260
- At 6.5%, 30-year, that supports a loan of ~$358,000 → home price ~$408,000
- If they put $80k down to clear PMI → P&I budget rises to $2,400 → home price ~$460,000
Comparison Table
| Income | Debts | Down ($) | Max home @ 6.5%, 30y |
|---|---|---|---|
| $60,000 | $200 | $15,000 | ~$185,000 |
| $80,000 | $300 | $30,000 | ~$258,000 |
| $100,000 | $400 | $60,000 | ~$340,000 |
| $150,000 | $500 | $100,000 | ~$520,000 |
| $200,000 | $700 | $150,000 | ~$700,000 |
Use Cases
- Pre-shopping budget: set a price filter on Zillow before house-hunting.
- Loan officer call prep: arrive with realistic numbers, not surprise denials.
- Down-payment savings goal: see how an extra $20k changes max price.
- Debt paydown decision: evaluate whether eliminating a $400/mo car loan unlocks more house.
Glossary
- DTI
- Debt-to-Income ratio — monthly debt obligations divided by gross monthly income.
- PITI
- Principal + Interest + Taxes + Insurance — the four components most lenders use to define housing cost.
- PMI
- Private Mortgage Insurance — required for conventional loans with LTV > 80%; protects the lender, not the borrower.
- LTV
- Loan-to-Value ratio — loan ÷ home price. PMI cancels at LTV ≤ 78% under HOPA.
- Conforming Loan Limit
- Max loan size eligible for Fannie/Freddie purchase. 2026 baseline = $806,500 (high-cost areas higher).
Sources & References
- CFPB Owning a Home — Government home-buyer guide; covers DTI, closing costs, PMI.
- FHFA Loan Limits — 2026 conforming loan limits by county.
- HUD Homeowners Protection Act — PMI cancellation rules at 80%/78% LTV.