Estimate how much house you can afford from household income and a loan-program DTI cap, or from a fixed monthly housing budget. The result includes the loan, down payment, 3% closing costs, monthly principal and interest, and the tax, insurance, HOA, PMI, and maintenance that make up a full housing payment.
Formula
The loan is the house price minus the down payment. Principal and interest use the standard amortizing payment for a loan P, monthly rate r (APR ÷ 12), and n monthly payments:
P&I = P · r(1 + r)^n / ((1 + r)^n − 1)
Monthly housing cost for the DTI cap is P&I plus property tax, HOA, and insurance (each annual amount ÷ 12), plus PMI at 0.5%/year of the loan when the down payment is under 20%. The calculator solves the house price so that cost equals the housing limit:
Conventional housingLimit = min(0.28, 0.36 − debt/income) × monthly income
FHA housingLimit = min(0.31, 0.43 − debt/income) × monthly income
VA housingLimit = 0.41 × monthly income − monthly debt
Custom housingLimit = dti% × monthly income − monthly debt
Closing costs are 3% of the house price. Maintenance at 1.5% of price is shown on the income tab but is not part of DTI.
Loan-program DTI caps
| Program | Front-end | Back-end | Notes |
|---|---|---|---|
| Conventional | 28% | 36% | 28/36 rule; PMI under 20% down |
| FHA | 31% | 43% | Upfront MIP 1.75% plus 0.5%/yr MIP |
| VA | — | 41% | Funding fee; no front-end ratio |
| Custom | — | 10–50% | 5% steps; PMI under 20% down |
Examples
Conventional 28/36 on $120,000 income
A household earning $120,000 with no other debt, 20% down, 6.792% on a 30-year loan, 1.5% property tax, and 0.5% insurance can afford about $407,107. The loan is $325,685, monthly P&I is $2,121, and the all-in monthly housing cost including 1.5% maintenance is $3,309.
Same buyer with $1,000 of monthly debt
Other debts eat the back-end room. Housing is capped at 36% − $1,000, so the affordable price drops to about $378,028.
Fixed $3,500 monthly budget
With taxes and fees included in a $3,500 budget (same rate, term, and 20% down), the affordable price is about $430,621. Uncheck fees and the whole budget goes to P&I, raising the price to about $671,638.