House Affordability Calculator

Find your maximum home purchase price based on income, monthly debts, and down payment. Uses lender-standard 28%/36% DTI rules used across the United States.

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House Affordability Calculator

28%/36% DTI rules — how much home can you afford?

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Max Home Price
Max Monthly Payment
Max Loan Amount
DTI Ratio
Front-End Ratio
Back-End Ratio

How Much House Can You Afford? The 28/36 Rule Explained

The house affordability calculator uses the same guidelines US mortgage lenders apply when reviewing loan applications. The 28% front-end rule says your total monthly housing cost — principal, interest, property taxes, and insurance — should not exceed 28% of your gross monthly income. On a $75,000 annual salary ($6,250/month), that's $1,750 for housing. The 36% back-end rule says all monthly debt payments combined — housing plus car loans, student debt, credit cards — should stay under 36% of gross income. These aren't hard ceilings for every lender, but they're the conventional guidelines that Fannie Mae and Freddie Mac use to define "qualified" borrowers.

Down payment size has an outsized effect on how much home you can afford — and what you pay every month. A 20% down payment eliminates PMI, which can run $100–$250 per month on a $300,000 home, and reduces the loan balance enough to noticeably lower the payment. Putting down 10% instead saves cash upfront but adds PMI and a higher monthly payment that reduces your qualifying price. First-time buyers in many states can access down payment assistance programs through state housing agencies — California, Texas, Florida, and New York all have active programs worth researching before you shop.

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The 28% Front-End Rule

Monthly PITI (principal, interest, taxes, insurance) should stay under 28% of gross monthly income. At $80,000/year, that's roughly $1,867/month for housing — including taxes and insurance, not just the loan payment.

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The 36% Back-End Rule

All monthly debts combined shouldn't exceed 36% of gross income. With a $500 car payment and $200 in student loans, a $6,000/month earner has only $1,460 remaining for housing under the 36% ceiling.

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Down Payment Impact

Every extra $10,000 in down payment reduces the loan by $10,000 and saves roughly $65/month on a 30-year loan at 6.5%. Getting to 20% down also eliminates PMI, adding $100–$250/month back to your budget.

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Hidden Homeownership Costs

Budget for maintenance (1%–2% of home value annually), HOA fees if applicable, utilities, and home insurance. A $400,000 home can easily cost $4,000–$8,000/year in maintenance alone — factor this into your affordability math.

Formula & Logic

Affordability runs the mortgage calculation backwards: instead of asking what a given loan costs, it asks what payment your income supports and what loan that payment services. Two constraints bind, and the lower one wins. The 28/36 rule caps housing at 28% of gross income and total debt at 36%, so existing car and student loan payments directly reduce the house you can buy. The result is also highly rate-sensitive: because the payment is fixed by your income, a higher rate buys strictly less principal, which is why affordability falls sharply when rates rise even though incomes have not changed.

Max housing payment = Gross monthly income × 28%Max total debt = Gross monthly income × 36%, less existing debtsMax loan = PI available × [ (1 + i)^n − 1 ] ÷ [ i(1 + i)^n ]

where:

PI available
the housing budget after subtracting property tax, insurance and HOA
i
monthly interest rate
n
number of payments
Max loan
principal that the available payment will service — add your down payment for price

Assumptions: Guideline ratios, not hard rules; lenders vary and automated underwriting stretches further with strong credit and reserves. Says nothing about what is comfortable — it is a lending limit, not a budget.

Step-by-Step Example: What a $120,000 Salary Buys at 6.5%

Gross income of $10,000 a month, a $600 car payment, $60,000 saved for a down payment, and a 30-year loan at 6.5%.

  • Gross monthly income$10,000
  • Existing debt$600/mo
  • Down payment$60,000
  • Rate / term6.5%, 30 years
  1. Front-end cap: $10,000 × 28% = $2,800 for housing.
  2. Back-end cap: $10,000 × 36% = $3,600 total, less the $600 car payment = $3,000 available for housing.
  3. The lower constraint binds, so the housing budget is $2,800.
  4. Reserve for tax and insurance, say $650 a month, leaving $2,150 for principal and interest.
  5. Convert to a loan: $2,150 × [(1.0054167)^360 − 1] ÷ [0.0054167 × (1.0054167)^360] = $340,153.
  6. Add the down payment: $340,153 + $60,000 = about $400,000 of purchase price.

ResultAbout $400,000 — a $340,153 loan on a $2,800 housing budget

Clearing the $600 car payment would not raise this number, because the 28% front-end cap is already the binding constraint. But a rate move to 7.5% cuts the supportable loan to roughly $307,488 — the same income buying $32,665 less house.

Frequently Asked Questions

The 28/36 rule is the traditional lending guideline: housing costs (PITI — principal, interest, taxes, insurance) should not exceed 28% of gross monthly income (front-end ratio). Total debt payments including housing should not exceed 36% of gross monthly income (back-end ratio). Example: $6,000/month income → max housing $1,680/month (28%) → max all debts $2,160/month (36%). Modern FHA loans allow up to 31%/43%; some conventional loans allow up to 45% with strong credit.
At $100,000 annual income ($8,333/month), applying the 28% front-end rule: max PITI = $2,333/month. At May 2026 rates (6.4%, 30-year), this supports approximately a $320,000-$360,000 home with 10-20% down, depending on property taxes and insurance. With $0 other debts and 20% down, you might qualify for up to $380,000. With significant debts (car, student loans), the back-end 36% rule may limit you further. This calculator computes your specific maximum.
Yes. This calculator includes property tax (national average 1.07% annually, adjustable), homeowner's insurance ($1,800/year default, adjustable), and PMI (0.5%/year if down payment is less than 20% of home value). These costs are subtracted from your maximum monthly budget before calculating how large a loan you can afford, giving you a realistic home price rather than just a loan amount.
Minimum credit scores by loan type: Conventional loan: 620 (Fannie/Freddie), better rates at 740+. FHA loan: 580 for 3.5% down, 500-579 for 10% down. VA loan: No official minimum, most lenders require 580-620. USDA loan: 640 recommended. Higher scores get meaningfully better rates. At May 2026 rates, the difference between a 620 and 760 score can be 0.5-1.0% in rate, saving $150-$300/month on a $400,000 loan.

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✔ Reviewed by the True Value Calc editorial team📅 Last updated June 2026📚 Sources: Peer-reviewed formulas & official U.S. government data📑 How we build & check these