Comprehensive Guide
Learn more in our Loans & Mortgage Guide.
How it works
Lenders use two ratios to size mortgages. The front-end ratio keeps housing costs under 28% of gross monthly income; the back-end keeps housing plus all other debt under 36%. The calculator applies the tighter of the two: housing budget equals income divided by 12 times 28%, reduced by any other debt, then subtracts the monthly escrow (taxes plus insurance) to find what remains for principal and interest. That P&I budget inverts back through the mortgage formula into a loan amount, and the down payment is added to get the affordable price. The engine exposes the classic affordability trap: at 6.5% the payment-per-$100k is much higher than at 3%, so the same income affords roughly 25% less house than in a low-rate era. The ratios are guidelines, not law — high-income buyers often stretch to 40%, and lenders tighten when rates spike — but they are the number lenders start from.Formula
Front = income/12 x 28% | Back = income/12 x 36% - other debt | Budget = min(front, back) - escrow
Tips
- Size the budget on 28%, not the pre-approval letter's headline — that letter is the ceiling, not the target.
- Pay off car and card debt before applying: every $150 of monthly debt changes your price range by tens of thousands.
- Budget the move-in costs too — closing, movers and immediate fixes typically run 3-5% extra.
- Re-run this calculator with a 7.5% rate to stress-test whether the payment still fits.