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$321,417maximum purchase price at the selected cap (tax, insurance & HOA included)
Maximum loan
$261,417
Monthly principal & interest
$1,810.00
Property tax
$450.00
Home insurance
$120.00
HOA dues
$0.00
Total monthly housing budget
$2,380.00

The monthly housing budget is the debt-to-income ceiling minus existing debt. Property tax, insurance and HOA are subtracted from it before the loan is priced, because those are paid whether or not they amortize the loan.

Calculator by FigureDeck — free, no sign-up, and every figure is sourced.

The same income under four debt-to-income caps (tax, insurance & HOA subtracted first)

DTI capMonthly housing budgetPrincipal & interest leftMaximum loanMaximum price
28%$1,740.00$1,170.00$168,982$228,982
36%$2,380.00$1,810.00$261,417$321,417
43%$2,940.00$2,370.00$342,298$402,298
50%$3,500.00$2,930.00$423,178$483,178