Calculate the maximum home price you can afford based on your income, debts, interest rate, loan term, taxes, and insurance using the 28/36 DTI rule.
Figuring out how much home you can afford is the essential first step in the home-buying journey. Lenders evaluate your finances using the 28/36 debt-to-income (DTI) rule: your total housing costs should not exceed 28% of your gross monthly income (front-end ratio), and your total debt payments should stay below 36% (back-end ratio). By entering your annual income, existing monthly debts, expected interest rate, and loan term, this calculator reverse-engineers the maximum purchase price that keeps you within those guardrails.
Beyond the basic mortgage payment, true housing costs include property taxes, homeowner's insurance, and possibly private mortgage insurance (PMI) if your down payment is below 20%. This tool factors in all of those components so you get a realistic ceiling rather than an inflated number that ignores carrying costs.
Whether you're a first-time buyer saving for a down payment or a move-up buyer comparing neighborhoods, knowing your affordability limit prevents wasted time touring homes outside your budget and protects you from the financial stress of an overextended mortgage.
Pre-approval letters tell you what a lender will let you borrow, but that maximum is often more than you should borrow. This calculator applies the conservative 28/36 DTI rule that most financial advisors recommend, giving you a comfortable ceiling rather than a risky one. Running different scenarios with varying down payments, interest rates, and debt loads takes just seconds and lets you shop with confidence instead of anxiety.
Max Monthly Housing = Gross Monthly Income × 0.28 (front-end) Max Monthly All Debt = Gross Monthly Income × 0.36 (back-end) Available for Housing (back-end) = Max All Debt − Existing Debts Max Housing Payment = min(Front-end limit, Back-end limit) Max Loan = Max Housing Payment adjusted for taxes, insurance, PMI using amortization inverse Max Price = Max Loan / (1 − Down Payment %)
Result: Max price ≈ $411,000
Gross monthly income is $8,333. The 28% front-end limit allows $2,333/mo for housing. The 36% back-end limit allows $3,000 total debt, minus $500 existing = $2,500 for housing. The binding constraint is $2,333 (front-end). After subtracting monthly tax ($411), insurance ($125), the remaining $1,797 supports a loan of about $329,000 at 6.5% over 30 years, yielding a max price of roughly $411,000 with 20% down.
When you apply for a mortgage, the lender looks at your gross income, credit score, and existing debt obligations. The debt-to-income ratio is the primary mathematical gatekeeper. A borrower earning $8,333 per month with $500 in car and student loan payments has a back-end capacity of $2,500 for total housing costs. After subtracting taxes and insurance, the remaining amount determines the largest loan the amortization formula can support.
The front-end ratio considers only housing costs (principal, interest, taxes, insurance, and PMI). The back-end ratio adds all recurring debts. Lenders check both and use the more restrictive result. Borrowers with heavy existing debt will find the back-end ratio more limiting, while debt-free buyers are constrained by the front-end ratio.
The most effective ways to raise your affordable price are increasing income, reducing existing debt, saving a larger down payment, and shopping for a lower interest rate. Even a 0.5% rate decrease on a 30-year loan can add $20,000–$30,000 to your purchasing power.
The 28/36 rule is a lending guideline that says your housing costs should not exceed 28% of your gross monthly income (front-end DTI) and your total debt payments should stay below 36% (back-end DTI). Most conventional lenders use this standard, though some programs like FHA allow higher ratios.
Yes. You enter your expected property tax rate and annual insurance premium, and the tool deducts those from the allowable housing payment before computing the maximum mortgage and purchase price. This gives you a much more realistic figure than a payment-only calculator.
If your monthly debts are zero, the back-end constraint becomes very generous (the full 36% is available for housing). In that case the 28% front-end rule is almost always the binding limit, and your max price will be determined by that ratio alone.
A larger down payment reduces the loan amount you need for any given price, which lowers the monthly payment. It also eliminates PMI once you reach 20%, freeing up more of your allowable housing budget for the actual mortgage payment and boosting your max purchase price.
Not necessarily. The calculator shows the ceiling under standard DTI rules. Financial advisors often recommend spending less — around 25% of take-home pay — to maintain a comfortable lifestyle, fund savings, and handle unexpected expenses like repairs or job changes.
FHA loans allow a front-end DTI up to 31% and back-end up to 43%, while VA loans often have no strict front-end limit and allow up to 41% back-end. This calculator uses the conventional 28/36 rule; for government-backed programs you can manually adjust the percentages or use a program-specific tool.