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Math of Money

House Affordability Calculator

Estimate the maximum home price you can afford, based on your income and debts or a target monthly payment, using the same debt-to-income guidelines lenders use.

By S M Ariful Islam ShawonLast updated

Your details

Calculate by
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Maximum home price
$307,033
Loan amount
$267,033
87% loan-to-value
Monthly payment (PITI)
$2,217
Debt-to-income
28% / 33.1%
Front-end / back-end

Based on your income and debts, front-end (housing) DTI sets your limit — and since your down payment is under 20%, PMI is included in the payment above.

Maximum home price at different down payment percentages
Max home price
0%$271,798
5%$285,321
10%$298,844
15%$312,367
20%$325,890
25%$356,046
30%$369,454

Detailed breakdown

Monthly income = $95,000 ÷ 12 = $7,917
Housing budget = min(front-end 28% × income, back-end 36% × income − debts) = $2,217
Home price solved so P&I + tax + insurance + PMI + HOA = housing budget (by bisection, since tax and PMI both depend on price) = $307,033
Loan amount = Home price − Down payment = $307,033 − $40,000 = $267,033
= Monthly payment (PITI): $2,217
Your down payment is 13% of the price, so PMI at 0.55%/yr is included above.

Comfortable, stretch, and aggressive budgets

Maximum home price and monthly payment at the Comfortable, Stretch, and Aggressive debt-to-income limits
DTI limitMax home priceMonthly payment
Comfortable28% / 36%$307,033$2,217
Stretch31% / 43%$337,894$2,454
Aggressive40% / 50%$430,479$3,167

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How to use this calculator

  1. Choose whether to calculate by income (enter your annual income and monthly debts) or by a target monthly payment you already have in mind.
  2. In income mode, pick a debt-to-income limit — Conservative (28%/36%), Moderate/FHA-style (31%/43%), or your own Custom limits.
  3. Enter your planned down payment, interest rate, and loan term.
  4. Open Advanced to set property tax, homeowners insurance, HOA dues, and PMI rate — these change the price you can afford, since taxes and PMI scale with the home's price.
  5. Review your maximum home price, monthly payment breakdown, the down-payment sensitivity chart, and the comfortable/stretch/aggressive comparison table.

How it's calculated

The calculator solves for the highest home price whose estimated monthly payment (principal & interest, property tax, homeowners insurance, PMI, and HOA — PITI) still fits your budget. Because property tax is a percent of the home's price and PMI depends on the resulting loan-to-value, the monthly payment is itself a function of the price we're solving for, so there's no simple formula — the calculator narrows in on the answer by bisection, testing candidate prices until the budget is matched to the cent.

By income: your budget is the lower of two caps: the front-end limit (housing payment ÷ gross monthly income) and the back-end limit ((housing payment + other monthly debts) ÷ gross monthly income). Whichever cap produces the smaller home price is the one that's actually limiting you, shown as the "binding" ratio.

By monthly payment: your budget is simply the target payment you enter, and the calculator finds the home price whose PITI matches it — no income or DTI limit is applied (though you can add income under Advanced just to see the DTI it implies).

PMI is added only when the loan is more than 80% of the home price (down payment under 20%), calculated as your entered annual PMI rate times the loan amount, divided by 12.

Comfortable / Stretch / Aggressive re-runs the same income-mode calculation at three debt-to-income levels — 28%/36%, 31%/43%, and 40%/50% — so you can see how much more house a looser limit would allow, and decide for yourself how much payment shock you're comfortable with. "Aggressive" is FHA manual underwriting's maximum with two compensating factors (HUD Handbook 4000.1, II.A.5.d), not a bare 45% housing-only cap — no major guideline actually caps front-end DTI at 45%; Fannie Mae, for instance, has no separate front-end limit at all and allows up to 50% total DTI through Desktop Underwriter.

Assumptions

  • Debt-to-income guidelines vary by lender, loan program, credit score, and compensating factors like cash reserves — the limits here are common reference points, not a guarantee of what any lender will approve.
  • Property tax and PMI are calculated as a percent of the home price you'd be buying at, not your current home's value.
  • Homeowners insurance and HOA dues are entered as flat dollar amounts and don't scale with price.
  • The interest rate is fixed for the full loan term; adjustable-rate loans, points, and closing costs aren't modeled.
  • "Monthly debts" should include recurring obligations like auto loans, student loans, minimum credit card payments, and child support — not everyday expenses like groceries or utilities.
  • Results are estimates for planning purposes only, not a pre-qualification or loan offer.

Frequently asked questions

How much house can I afford based on my income?

A common starting point is the 28/36 rule: spend no more than 28% of your gross monthly income on housing (front-end ratio) and no more than 36% on housing plus all other debts (back-end ratio). This calculator applies whichever of those two limits is more restrictive for your numbers, then solves for the home price whose monthly payment fits under it.

What is the 28/36 rule?

It's a widely cited debt-to-income guideline: your total housing payment (principal, interest, taxes, insurance, PMI, and HOA) shouldn't exceed 28% of your gross monthly income, and that payment plus all other debts shouldn't exceed 36%. It's a conservative rule of thumb, not a hard requirement — many loan programs allow higher ratios.

What debt-to-income ratio do lenders actually allow?

It depends on the loan program and your credit profile. FHA loans commonly use a 31% front-end / 43% back-end guideline, though FHA allows higher ratios with strong compensating factors. Conventional loans run through Fannie Mae's Desktop Underwriter or Freddie Mac's Loan Product Advisor can be approved up to a 45–50% back-end DTI with good credit and reserves, while the CFPB's Qualified Mortgage rule has historically used 43% as a common reference point. Always confirm the actual limit with your lender.

What counts as a monthly debt payment?

Recurring, reported debt obligations: car loans and leases, student loan payments, minimum credit card payments, personal loan installments, alimony, and child support. Everyday living costs like groceries, utilities, subscriptions, and insurance premiums (other than what's already in your housing payment) generally aren't counted.

How does my down payment affect how much house I can afford?

A larger down payment lowers your loan amount (and therefore your principal & interest payment), and once it reaches 20% of the price it also removes PMI, freeing up more of your budget for the loan itself. The down-payment sensitivity chart shows how the maximum home price rises as your down payment grows.

Why does entering a higher property tax rate lower how much house I can afford?

Because property tax here is a percent of the home's price, a higher home price means a higher tax bill, which eats into the same fixed monthly budget. That circular relationship — price affects tax, tax affects the price you can afford — is exactly why the calculator has to search for the answer instead of using one formula.

What's the difference between the front-end and back-end ratio?

The front-end ratio only counts your housing payment (PITI) against your income. The back-end ratio adds in every other monthly debt you carry. If you have little other debt, the front-end ratio usually limits you first; if you have significant car, student, or credit card payments, the back-end ratio often binds instead — the calculator tells you which one is limiting your result.

Should I use the 'by income' or 'by monthly payment' mode?

Use 'by income' if you want a ratio-based estimate of what a lender is likely to approve. Use 'by monthly payment' if you already know exactly what you're comfortable paying each month — for example, close to your current rent — and want to see what home price that translates to.

Does this calculator include closing costs?

No — it estimates the ongoing monthly PITI payment and the home price that fits your budget. Closing costs are a separate, one-time expense (typically a few percent of the loan amount) due at closing, on top of your down payment.

Is a bigger mortgage always a good idea if I qualify for it?

Not necessarily. Lender approval reflects what you can technically repay, not what leaves comfortable room in your budget for saving, emergencies, or other goals. That's why the comfortable/stretch/aggressive table shows a range — many buyers choose a home price well below the maximum a lender would approve.

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Disclaimer: This calculator provides estimates for educational purposes only and is not financial, tax, or legal advice or an offer of credit. Actual payments depend on your lender, loan terms, taxes, and insurance. Consult a qualified professional before making financial decisions.