How this calculator works
Answering "how much house can I afford" comes down to a debt-to-income (DTI) test most US lenders still use as a baseline, known as the 28/36 rule. It has two parts: your front-end ratio β housing costs alone (principal, interest, taxes, insurance, and HOA) β shouldn't exceed 28% of your gross monthly income, and your back-end ratio β every monthly debt payment you have, housing included β shouldn't exceed 36%.
Max housing payment = min( income × 28%, income × 36% − other debts )
Whichever side of that formula is smaller is your "binding constraint" β the real ceiling on your housing budget. From that maximum monthly payment, the calculator subtracts estimated property tax, homeowners insurance, and HOA dues to find how much is left for principal and interest, then solves backward through the standard amortizing-loan formula to a maximum loan amount, and adds your down payment to get a maximum home price.
Worked example
Consider a household with $8,000 in gross monthly income, $400 in other monthly debts (a car payment and a credit card minimum), a $40,000 down payment, a 6.5%30-year rate, a property tax rate around Texas's state average of 1.6%, and $1,600/year in homeowners insurance. The front-end limit is $2,240/month (28% of income); the back-end limit is $2,480/month (36% of income minus the $400 in debts). The front-end limit is lower, so it binds β the household's maximum monthly housing payment is $2,240. Working backward through taxes and insurance, that supports a maximum loan of roughly $268,269 and, with the $40,000 down payment added back in, a maximum home price of about $308,269 β with a front-end DTI of exactly 28% and a back-end DTI of 33%.
What affects your result
- Gross income β the base both ratios are calculated against; higher income raises both ceilings proportionally.
- Existing debts β every dollar of car loan, student loan, or credit card payment eats directly into your back-end ratio and can lower your max home price.
- Down payment β a larger down payment doesn't change your max monthly payment, but it directly raises your max home price dollar-for-dollar.
- Property tax rate β states like New Jersey and Illinois have effective rates 4-5x higher than Hawaii or Alabama, which meaningfully changes how much of your housing budget is left over for principal and interest.
- Interest rate β a higher rate means each dollar of loan-eligible payment buys less loan amount, lowering your max home price even if your income doesn't change.
A note on accuracy
The 28/36 rule is a widely used, conservative underwriting guideline β not a universal legal limit. Some conforming and FHA loans allow higher back-end ratios with strong compensating factors like excellent credit or large cash reserves; this calculator intentionally uses the conservative standard so your estimate stays sustainable rather than a stretch. Property tax defaults to your state's published average and should be confirmed with your county assessor once you have a specific property. For general guidance on affordability and DTI, see the Consumer Financial Protection Bureau.