Home price by interest rate and monthly debts
Each cell is the highest price whose full monthly payment fits both ratios on $140,000 a year with 10% down. Monthly debts are payments on car loans, student loans and cards.
| Rate | No debts | $550/mo debts | $1,100/mo debts |
|---|---|---|---|
| 5.5% | $486,845 | $486,845 | $460,810 |
| 6.5% | $446,496 | $446,496 | $422,619 |
| 7.5% | $410,921 | $410,921 | $388,946 |
At 6.5% with no other debts the housing ratio is the binding limit and the price is about 3.2 times income. Add $550 of monthly debts and the housing ratio still binds and the price becomes $446,496. A one-point change in rate moves the price by roughly $37,962 at this income.
Home price by down payment (6.5%, $550/mo debts)
| Down payment | Cash down | Home price | PMI / month |
|---|---|---|---|
| 3.5% | $14,705 | $420,137 | $169 |
| 5% | $21,297 | $425,940 | $169 |
| 10% | $44,650 | $446,496 | $167 |
| 20% | $104,355 | $521,774 | $0 |
Reaching 20% down removes private mortgage insurance, which is why the jump from 10% to 20% is larger than the extra cash alone would suggest: the PMI money goes back into the principal-and-interest budget.
How the $446,496 figure is built
Start from gross monthly income of $11,667. The 28% housing limit is $3,267; the 36% total-debt limit is $4,200, less any other debts. With no debts, the housing limit is lower, so it sets the budget. At a price of $446,496 with $44,650 down, the loan is $401,846. Principal and interest at 6.5% over 30 years come to $2,540 a month, property tax $409, insurance $150 and PMI $167, for a total of $3,267, right at the limit.
A 15-year loan at the same rate supports about $341,304, because the same budget has to repay principal twice as fast; it builds equity much sooner and costs far less interest over the life of the loan. See 15-year vs 30-year mortgages.
Comparing nearby incomes
- $130k a year: about $413,069 with the same assumptions.
- $140k a year: about $446,496.
- $150k a year: about $479,924.
Before you shop at this price
The ratios describe what a lender may approve, not what feels comfortable. They use gross pay and ignore retirement saving, childcare and commuting. Many buyers aim below the 28% line to keep room for repairs, which often run around 1% of a home's value a year. Check the payment on a specific listing with the mortgage calculator, weigh buying against renting with the rent vs buy calculator, and read the 28/36 rule guide for how lenders apply the ratios.