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House Affordability Calculator

✦ Finance & Money

How much house can I afford? Use this free house affordability calculator to find the home price your income, monthly debts and down payment support — with the binding lender limit named and a comfortable, stretch and over-the-limit price band.

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  • ✓ Formula and sources shown

The formula

Maximum home price from income and DTI

price = (grossMonthly × dtiTarget − monthlyDebts − fixedMonthly) / (ltvRatio × piPaymentFactor + pmiMonthlyFactor)

Gross monthly income is multiplied by the front-end or back-end DTI target. Monthly debts (back-end only) and fixed monthly costs (tax, insurance, HOA) are subtracted; what is left pays P&I and PMI. Because both are proportional to the price, the price solves in one step: divide by (loan share × payment factor + loan share × PMI rate ÷ 12). The binding constraint — front-end or back-end — is the one that gives the lower price; the result is rounded to the nearest $100.

Calculating it by hand

  1. Enter your annual gross (pre-tax) household income.
  2. Enter total monthly debt minimum payments: credit cards, auto loans, student loans, personal loans. Do not include rent — that is what you are replacing. Leave it blank if you have none.
  3. Enter your planned down payment as a percentage of the home price.
  4. Enter the mortgage interest rate and loan term you expect.
  5. Adjust the monthly property tax, homeowners insurance, HOA and PMI rate for your area (Advanced).
  6. Read the maximum home price, the binding DTI constraint, your estimated monthly PITI, and the comfortable / stretch / over-the-limit band.
  7. The result is an estimate for planning, not a pre-approval; your lender's underwriting applies.

Worked examples

$100,000 salary, $500 in monthly debts, 10 % down, 7 % rate

  1. Gross monthly income = $100,000 / 12 = $8,333.33.
  2. Front-end limit (28 %): max housing = $8,333.33 × 0.28 = $2,333.33. Back-end (36 %): $8,333.33 × 0.36 − $500 = $2,500.00. The front-end limit binds.
  3. Fixed costs: tax $200 + insurance $100 = $300 → $2,033.33 left for P&I and PMI.
  4. P&I factor at 7 %, 30 years = 0.0066530; PMI factor = 0.0085 / 12 = 0.00070833 per dollar of loan.
  5. Max loan = $2,033.33 / (0.0066530 + 0.00070833) = $276,217 → price = $276,217 / 0.90 = $306,908 → $306,900.
  6. At $306,900: loan $276,210, P&I $1,837.63, PMI $195.65, PITI $2,333.28; front-end DTI 28 %, back-end 34 %.

Maximum home price $306,900 (front-end binding); PITI $2,333.28 including $195.65 PMI.

$75,000 salary, no existing debts, 20 % down, 6.5 % rate

  1. Gross monthly income = $75,000 / 12 = $6,250.
  2. Front-end limit (28 %): max housing = $6,250 × 0.28 = $1,750. Back-end (36 %): $2,250. The front-end limit binds.
  3. Fixed costs: tax $160 + insurance $75 = $235; PMI = $0 at 20 % down → $1,515 for P&I.
  4. P&I factor at 6.5 %, 30 years = 0.0063207.
  5. Max loan = $1,515 / 0.0063207 = $239,689 → price = $239,689 / 0.80 = $299,612 → $299,600.
  6. At $299,600: P&I $1,514.94, PITI $1,749.94; front-end and back-end DTI both 28 %.

Maximum home price $299,600 with 20 % down, 6.5 % rate and no existing debts (front-end binding).

$120,000 household income, $1,200 monthly debts, 5 % down, 7.25 % rate

  1. Gross monthly income = $120,000 / 12 = $10,000.
  2. Front-end limit (28 %): $2,800. Back-end (36 %): $10,000 × 0.36 − $1,200 = $2,400. The back-end limit binds.
  3. Fixed costs: tax $220 + insurance $110 = $330 → $2,070 for P&I and PMI.
  4. P&I factor at 7.25 %, 30 years = 0.0068218; PMI factor = 0.00070833.
  5. Max loan = $2,070 / (0.0068218 + 0.00070833) = $274,897 → price = $274,897 / 0.95 = $289,365 → $289,400.
  6. At $289,400: P&I $1,875.51, PMI $194.74, PITI $2,400.25; back-end DTI 36 %, front-end 24 %.

Maximum home price $289,400 with $1,200 of debts — the back-end ratio is the binding constraint.

Methodology

How lenders decide what you can afford

Lenders do not care what you earn — they care what fraction of your gross monthly income the new housing payment takes, and whether all your debts together stay under a second ceiling. Both tests run at the same time; the lower result wins.

Read sources and limits

What are the front-end and back-end DTI tests every lender runs?

A debt-to-income ratio (DTI) is monthly debt payments divided by gross monthly income. Lenders run two at once. The front-end (housing) ratio covers only the proposed housing payment — principal, interest, property tax, insurance and HOA. The back-end ratio covers every monthly debt payment, the new mortgage included. Both must pass.

Common reference points: 28 % front-end and 36 % back-end for conventional loans (the defaults here), 31 % and 43 % for FHA manual underwriting, and up to 50 % back-end under Fannie Mae's automated underwriting for strong files. Since 1 October 2022 a Qualified Mortgage has no fixed 43 % cap — the CFPB's General QM rule replaced it with a price test — but most borrowers above about 43 % find themselves stretched. Both targets are adjustable.

The binding constraint is whichever test gives the lower price for your income, debts, down payment, rate and local costs. With little existing debt the front-end limit usually binds; with significant debts the back-end limit does. The calculator names the one that bound your result and shows both prices.

What counts as a monthly debt, and what does not?

Lenders include the minimum required payments on credit cards, installment loans (auto, personal, student), other mortgages and any lease on your credit report. They do not count utilities, phone bills, subscriptions, groceries or insurance premiums — and not your current rent, because the new mortgage replaces it. Only payments a lender can see count.

Student loans in deferment or forbearance still count. Fannie Mae Selling Guide B3-6-05 has lenders use 1 % of the outstanding balance as the monthly payment when the actual payment is zero, so enter that 1 % figure in the monthly-debts field if your loans are deferred.

Child support and alimony orders count as debts. Self-employment and commission income are usually averaged over two years of tax returns — the lender's process, not this calculator's. Enter the gross income you can document.

What do the comfortable, stretch and over-the-limit prices mean?

The headline is the highest price your two DTI targets allow at the inputs you entered — the band calls it "Stretch", because buying there leaves no buffer for a repair, a job change or a property-tax rise. "Comfortable" is 90 % of it; at the first worked example that keeps back-end DTI at 31.6 % instead of 34 %.

The third card, labelled "Maximum", is 110 % of the headline: it shows what going beyond your targets would cost each month and flags that it exceeds them. The band is not a recommendation; it shows the trade-off between more home and a smaller buffer. A lender's approval may be lower or higher depending on credit score, loan type, reserves and compensating factors.

How do property tax, insurance, PMI and HOA change your maximum price?

These fixed monthly costs come off the housing budget before anything is left for principal and interest, so every dollar of them lowers the loan you can carry. A 1.2 % property-tax rate on a $400,000 home is $400 a month, taken from the budget before the payment calculation even starts. Enter your local figures in Advanced.

PMI applies when the down payment is under 20 %. The default 0.85 % of the loan a year is a mid-range assumption; quotes run from about 0.2 % (excellent credit, nearly 20 % down) to 1.5 % or more (lower scores, 3 % down). It can be cancelled at 80 % LTV and ends automatically at 78 % under the Homeowners Protection Act; the calculator charges it for the whole first-year payment it solves.

HOA dues are a hard monthly cost the lender counts dollar for dollar in the housing ratio. In condo and planned-community markets they can be the biggest reason the price you can afford is below what you expected.

What mistakes do buyers make, and what can this calculator not tell you?

The most common mistake is using take-home pay instead of gross income. Every DTI ratio uses income before federal and state tax, FICA and pre-tax deductions, so a $5,000 monthly paycheck may mean $7,000–$8,000 of gross income. The second is leaving debts out: every minimum payment on your credit report belongs in the debts field.

One $400 car payment, for example, removes $400 from the back-end budget; when the back-end limit binds, that lowers the maximum price by about $60,000 at 7 % with 10 % down and 0.85 % PMI.

What the calculator cannot tell you: whether your credit score earns the rate you entered, which program (FHA, VA, conventional, USDA) fits, the lender's fees and points, or whether you have the reserves lenders want (often two to six months of payments). Only a pre-approval from a licensed lender, based on your credit file and documents, is definitive.

House Affordability questions

How much house can I afford on a $100k salary?

At $100,000 a year with $500 a month of existing debts, 10 % down and a 7 % rate, the 28 % front-end target allows about $306,900 with $200 tax and $100 insurance a month (worked example 1); higher local taxes and insurance bring it down. With no debts and 20 % down the same income supports more, because PMI drops out. These are estimates, not a guarantee; your lender's underwriting applies.

What is the 28/36 rule?

The 28/36 rule says housing costs should not exceed 28 % of gross monthly income (the front-end ratio) and all monthly debts should not exceed 36 % (the back-end ratio). It comes from conventional mortgage underwriting — 36 % is still Fannie Mae's base limit for manually underwritten loans. Both tests run together, and the one that gives the lower price is the binding constraint. This calculator uses 28 % and 36 % as defaults; both are adjustable.

Is 43 % still the DTI limit for a Qualified Mortgage?

No. The CFPB's General QM Final Rule, mandatory from 1 October 2022, replaced the 43 % back-end cap with a price-based test; lenders must still consider DTI or residual income, but there is no fixed ceiling in the QM definition. 43 % remains FHA's manual-underwriting benchmark and a common lender rule of thumb. Operating near it leaves little buffer, which is why this calculator defaults to the more conservative 36 %.

Does this calculator give me a pre-approval?

No. This calculator provides an affordability estimate based on the figures you enter. A mortgage pre-approval is issued by a licensed lender after verifying your credit score, employment history, tax returns, bank statements and other documentation. The lender's underwriting will differ from this estimate — it may be higher or lower depending on your credit profile, the loan program and current market conditions. Use this result for planning; get a pre-approval from a lender before making an offer.

What monthly debts should I include?

Include minimum required monthly payments on all recurring obligations that appear on a credit report: credit card minimum payments, auto loan payments, student loan payments (use 1 % of the outstanding balance if in deferment), personal loan payments, other mortgage payments, lease payments and court-ordered payments like child support or alimony. Do not include rent (you are replacing it), utilities, insurance premiums, subscriptions or groceries. These are not counted in DTI.

How does PMI affect what I can afford?

Private mortgage insurance is required on conventional loans with less than 20 % down and costs roughly 0.2 %–1.5 % of the loan a year. Because it is a monthly cost, it takes budget away from principal and interest. In worked example 1, 0.85 % PMI on a $276,210 loan is $195.65 a month — without it the same income would support a noticeably higher price. PMI can be cancelled at 80 % LTV and ends automatically at 78 % under the Homeowners Protection Act.

Is gross or net income used for DTI calculations?

DTI calculations always use gross (pre-tax) income — the amount before federal income tax, state income tax, FICA, and any pre-tax deductions like a 401(k) or health insurance. This is the universal standard used by lenders, the CFPB and Fannie Mae guidelines. Using net (take-home) pay instead of gross income is one of the most common reasons people think they can afford more than the calculator shows.

What is a comfortable versus a maximum home price?

The headline price is the most your DTI targets allow; the band shows it as "Stretch" because buying there leaves no buffer. "Comfortable" is 90 % of it — in worked example 1, $276,200 with back-end DTI 31.6 % instead of 34 %. The card labelled "Maximum" is 110 % and exceeds your targets; it is there to show the monthly cost of overreaching. The band is information, not advice: job security, savings and your local market belong in the decision.

How is the maximum price worked out from my income?

Multiply gross monthly income by each DTI target, subtract existing debts from the back-end budget, then subtract monthly tax, insurance and HOA. What remains pays principal, interest and PMI, which are both proportional to the loan, so divide by the payment factor plus the monthly PMI rate to get the loan, and divide by (1 − down payment %) to get the price. The lower of the two prices, rounded to $100, is the headline.

Source notes

Method, sources & limitations

Every figure on this page comes from the formula above applied to the values you enter. Nothing is estimated from market data, and no result is a forecast. These are the sources behind the method and any fixed figures it uses:

Educational information only. Results are estimates produced from the assumptions you enter, and are not financial, tax, legal or medical advice. Check anything that matters against a qualified professional and the cited sources.