Home Affordability Calculator
How much house can I afford? Take the smaller of two monthly limits: your housing limit (for example 28% of gross monthly income) and your total debt limit (36%) minus your other debts. On a $100,000 salary with $500 of debts, that is $2,333.33 a month. With $40,000 down at an example 6.5% for 30 years, it buys about $320,242.
Debt-to-income limits Share of gross monthly income for housing, and for housing plus debts.
Taxes, insurance, PMI and HOA Included: property tax 1.2%/yr, insurance $1,500/yr, PMI 0.5%/yr when under 20% down (example values).
Conservative, moderate and stretch budgets
| Budget | Payment | Home price |
|---|---|---|
| Your limits28% / 36% | $2,333DTI 34.0% | $320,242loan $280,242 |
| Conservative36% total debt | $2,500DTI 36.0% | $341,784loan $301,784 |
| Moderate45% total debt | $3,250DTI 45.0% | $438,715loan $398,715 |
| Stretch50% total debt | $3,667DTI 50.0% | $492,566loan $452,566 |
If the interest rate changes
| Rate | Home price | Change in price |
|---|---|---|
| 5.5% | $345,633loan $305,633 | +$25,391P&I $1,735.35 |
| 6% | $332,536loan $292,536 | +$12,294P&I $1,753.90 |
| 6.5% | $320,242loan $280,242 | Your rateP&I $1,771.32 |
| 7% | $308,701loan $268,701 | −$11,541P&I $1,787.67 |
| 7.5% | $297,864loan $257,864 | −$22,378P&I $1,803.02 |
Show steps
- Gross monthly income: $100,000.00 ÷ 12 = $8,333.33.
- Housing limit (front-end ratio): 28% × $8,333.33 = $2,333.33 a month for the whole housing payment.
- Total debt limit (back-end ratio): 36% × $8,333.33 = $3,000.00. Take away your other debts: $3,000.00 − $500.00 = $2,500.00 left for housing.
- Use the smaller of the two: H = $2,333.33 a month (the housing limit is tighter).
- Take out the costs that do not depend on the price: insurance $1,500.00 ÷ 12 = $125.00. That leaves $2,208.33 for the loan and property tax and PMI.
- Cost of $1 of loan per month: r = 6.5% ÷ 12 ≈ 0.0054167, n = 360 payments, (1 + r)ⁿ ≈ 6.9918, so k = r(1 + r)ⁿ ÷ ((1 + r)ⁿ − 1) ≈ 0.006321.
- Property tax adds t = 1.2% ÷ 12 ≈ 0.001 per $1 of price and PMI adds m = 0.5% ÷ 12 ≈ 0.000417 per $1 of loan each month.
- Solve for the loan: ($2,208.33 − $40,000 × 0.001) ÷ (0.006321 + 0.001 + 0.000417) ≈ $280,242 after rounding down to whole dollars. Add the down payment: $280,242 + $40,000 = $320,242.
- Check: principal and interest $1,771.32, tax $320.24, insurance $125.00 and PMI $116.77 = $2,333.33, which is within $2,333.33. One dollar more of price would go over.
- Your ratios at this price: housing $2,333.33 ÷ $8,333.33 = 28.0%; total ($2,333.33 + $500.00) ÷ $8,333.33 = 34.0%.
- PMI: on the regular schedule the balance reaches 78% of the price after payment 93, so PMI ends automatically after 7 years 9 months (93 payments, about $10,860 in total).
How to use the home affordability calculator
- Choose how to set your budget: from your income and debts, or from a monthly payment you already have in mind.
- Enter your gross (pre-tax) yearly income and the monthly payments on car loans, student loans, card minimums and other debts. Rent you will stop paying does not count.
- Type your down payment in dollars or as a percent of the price, the interest rate from your own quote (6.5% is only an example) and the loan term.
- Check the debt-to-income limits. The total debt limit starts at 36%; the housing limit of 28% is optional and can be cleared.
- Open “Taxes, insurance, PMI and HOA” and enter your local figures. The answer, the payment breakdown, three budgets and a rate table update as you type.
Debt-to-income ratios: the limits lenders use
The Consumer Financial Protection Bureau defines your debt-to-income ratio (DTI) as all your monthly debt payments divided by your gross monthly income. Its example: $2,000 of payments on $6,000 of income is a DTI of 33%. The CFPB also notes that different loan products and lenders have different limits.
- Housing ratio (front-end): the full housing payment (principal, interest, property tax, insurance, PMI and HOA) ÷ gross monthly income.
- Total DTI (back-end): the housing payment plus all other debt payments ÷ gross monthly income.
For conventional loans sold to Fannie Mae, its Selling Guide sets the total DTI maximum at 36% for manually underwritten loans, up to 45% when the borrower meets its credit score and reserve requirements, and 50% for loans approved through its Desktop Underwriter system. The guide has no separate housing ratio. The popular “28/36 rule” comes from personal-finance guidance rather than an agency rule, so the calculator treats 28% as an adjustable example. FHA, VA and USDA loans have their own rules; ask your lender which limits apply to you.
Home affordability formula
The calculator works backward from the payment to the price. First it finds your monthly limit:
H = the smaller of (f × I) and (b × I − D)
where I is gross monthly income, D is your other monthly debts, f is the housing limit and b is the total debt limit. Then it solves for the loan L that makes the whole payment equal H:
L = (H − fixed costs − down × t) ÷ (k + t + m)
- k is the principal and interest on $1 of loan: r(1 + r)ⁿ ÷ ((1 + r)ⁿ − 1), with r = yearly rate ÷ 12 and n = years × 12.
- t is property tax per $1 of price each month (yearly tax rate ÷ 12).
- m is PMI per $1 of loan each month, used only when the loan is more than 80% of the price.
- Fixed costs are the parts that do not grow with the price, such as insurance and HOA dues.
The home price is L plus the down payment. Because each part of a real payment is rounded to the cent, the calculator then checks whole-dollar prices and keeps the largest one that fits.
Worked example: $100,000 salary
A buyer earns $100,000, pays $500 a month on a car loan, has $40,000 for a down payment and is quoted an example rate of 6.5% for 30 years. Property tax is 1.2% of the price a year, insurance $1,500 a year and PMI 0.5% of the loan a year.
- Gross monthly income: 100,000 ÷ 12 = $8,333.33.
- Housing limit: 28% × 8,333.33 = $2,333.33. Total debt limit: 36% × 8,333.33 − 500 = $2,500.00. The smaller is H = $2,333.33.
- Insurance is 1,500 ÷ 12 = $125.00, leaving $2,208.33.
- Rates per dollar: r = 0.065 ÷ 12 ≈ 0.0054167, (1 + r)³⁶⁰ ≈ 6.9918, so k ≈ 0.006321; t = 0.012 ÷ 12 = 0.001; m = 0.005 ÷ 12 ≈ 0.000417.
- Loan: (2,208.33 − 40,000 × 0.001) ÷ (0.006321 + 0.001 + 0.000417) ≈ $280,242. Price: 280,242 + 40,000 = $320,242.
- Check: principal and interest $1,771.32 + tax $320.24 + insurance $125.00 + PMI $116.77 = $2,333.33.
Drop the 28% housing limit and use only the 36% total limit, and the same buyer reaches $341,784. At Fannie Mae’s 45% maximum the figure is $438,715, with a payment of $3,250 a month. Lenders may approve that, but it leaves much less room for everything else.
Worked example: when 20% down sets the ceiling
Now the buyer has $70,000 down and is quoted PMI of 1.5% a year. At $350,000 the loan is $280,000, exactly 80% of the price, so there is no PMI and the payment is $2,244.79. One dollar more makes the loan larger than 80%, and PMI of 1.5% on $280,001 adds $350.00 a month, which pushes the payment to $2,594.80, above the $2,333.33 limit. So the answer is exactly $350,000, five times the down payment. The calculator spots this jump and explains it in the steps.
How the interest rate changes what you can afford
With the monthly limit fixed, a higher rate means less loan for the same payment. For the first buyer:
| Example rate | Home price | Change |
|---|---|---|
| 5.5% | $345,633 | +$25,391 |
| 6.0% | $332,536 | +$12,294 |
| 6.5% | $320,242 | — |
| 7.0% | $308,701 | −$11,541 |
| 7.5% | $297,864 | −$22,378 |
That is roughly $12,000 of price for each half point, so getting Loan Estimates from more than one lender matters.
How much house can I afford on my salary?
These figures assume $500 of monthly debts, 10% down, an example 6.5% rate for 30 years, 1.2% property tax, $1,500 a year of insurance and 0.5% PMI.
| Gross income | 28% / 36% limits | 45% total DTI |
|---|---|---|
| $50,000 | $123,874 | $176,964 |
| $75,000 | $230,053 | $309,686 |
| $100,000 | $312,634 | $442,409 |
| $125,000 | $395,216 | $575,132 |
| $150,000 | $477,801 | $707,853 |
| $200,000 | $642,966 | $973,298 |
Your own tax rate, insurance quote and debts can move these numbers a lot, so treat the table as a starting point and use the calculator for your case.
Common mistakes when estimating a home budget
- Using take-home pay. DTI limits are based on gross income. Your budget, though, is paid from take-home pay, so check the payment against what actually reaches your account.
- Forgetting tax, insurance and PMI. They can add hundreds of dollars a month and lower the price you can afford.
- Leaving out debts. A $400 car payment reduces your housing room by $400 under the total debt limit.
- Treating the maximum as the target. A lender’s limit is not a household budget. Leave room for savings, repairs and childcare.
- Spending the whole down payment. Closing costs and cash reserves come on top of it. Your Loan Estimate lists the closing costs.
Sources
All checked November 2026.
- CFPB: What is a debt-to-income ratio?
- Fannie Mae Selling Guide B3-6-02: Debt-to-Income Ratios
- CFPB: What is private mortgage insurance?
- CFPB: When can I remove PMI from my loan?
- CFPB: What is a Loan Estimate?
Results are estimates, not financial advice or a loan approval. Lenders also review credit, savings, employment and the property.
Home affordability practice quiz: 10 questions
Test yourself with 10 multiple-choice questions. Choose an answer and press Submit to see if you are right and why. Your score appears at the end.
DTI is total monthly debt payments ÷ gross monthly income: 2,160 ÷ 6,000 = 0.36 = 36%.
Multiply income by the limit: 0.28 × 7,500 = $2,100. $2,700 would be 36%.
36% of 8,000 is $2,880. Your other debts use part of it: 2,880 − 600 = $2,280. Forgetting to subtract the debts gives $2,880.
Both limits must be met, so the smaller one, $2,240, is the one that counts.
Divide the payment by the cost per dollar: 2,000 ÷ 0.0059955 ≈ $333,583 (using the unrounded factor). Each $100,000 of loan costs about $599.55 a month.
The home price is the loan plus the down payment: 300,000 + 60,000 = $360,000.
20% down means the price is 5 times the down payment: 5 × 50,000 = $250,000, and the loan is then $200,000, or 80%.
Take the costs that do not depend on the price out first: 2,333.33 − 125 = $2,208.33.
Quiz complete
Frequently asked questions
How much house can I afford on $100,000 a year?
With $500 of monthly debts and 28% / 36% limits, the most you would spend on housing is $2,333.33 a month. With $40,000 down at an example 6.5% for 30 years with the example tax, insurance and PMI, that is about $320,242. Your rate, taxes and debts change the answer.
What is the 28/36 rule?
It is a rule of thumb: spend no more than 28% of gross monthly income on housing and no more than 36% on housing plus all other debts. Fannie Mae’s guide uses only the total ratio, with a 36% maximum for manually underwritten loans.
What debt-to-income ratio do lenders allow?
It depends on the loan. For conventional loans sold to Fannie Mae, the maximum total DTI is 36% for manual underwriting, up to 45% with strong credit and reserves, and 50% through its automated system. FHA and VA loans have their own rules.
What salary do I need for a $400,000 house?
With 10% down at an example 6.5% for 30 years, 1.2% property tax, $1,500 insurance and 0.5% PMI, the payment is $2,950.44 a month. To keep that at 28% of gross income you would need about $126,448 a year.
Does a bigger down payment raise what I can afford?
Yes. Each extra dollar down adds a dollar to the price, and the smaller loan lowers the payment. Reaching 20% down also removes PMI on a conventional loan.
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