What it works out
Most calculators start with a price. This one starts with you: your gross income, the monthly debts you already pay, your down payment, a rate you pick and the debt-to-income limit you set. It then finds the highest price whose full housing payment fits inside that limit: principal and interest, property tax, insurance, and PMI when the loan is more than 80% of the price.
Try a lower limit too. The price at a payment you would be comfortable with is usually the more useful number.
Affordability formula
Maximum housing payment = monthly gross income × your debt-to-income limit − monthly debts
That is the back-end ratio. The price is the highest one whose full housing payment fits.
Example, for illustration: on a gross income of $96,000 a year and a 43% limit, every monthly debt payment and the new housing payment together stay within 43% of the monthly income, so each dollar of car or card payments leaves a dollar less for housing. Arithmetic on a ratio, not an approval amount or an offer.
