Home Affordability Calculator
What the 28/36 rule says the income supports — front-end, back-end, and the loan the payment buys — framed as a rule of thumb, because that is all it is.
The 28/36 rule is a rule of thumb, not a pre-approval and not a lender guideline for your file. Nothing here says any lender will lend any amount — it shows what the classic budget rule leaves room for.
A RULE OF THUMB, NOT A PRE-APPROVAL. Lenders weigh credit, reserves, loan program, and compensating factors; plenty of sound loans sit outside 28/36 and plenty of 28/36-clean budgets are not loan-ready. For the real number, a lender’s pre-approval on your actual file is the only instrument that counts.
How the math works
Front-end limit: 28% of gross monthly income for housing. Back-end limit: 36% of gross income for housing plus all recurring debts. The housing budget is the smaller of (front-end limit) and (back-end limit − monthly debts). Subtract taxes, insurance, and HOA to get the principal-and-interest budget; the annuity factor converts it to a loan: payment × [(1 − (1 + i)^−n) ÷ i], with i the monthly rate and n the payments. Add the down payment for the top price.
A worked example
A $120,000 income ($10,000 gross a month) with $500 a month of debts: the front-end limit is 28% × $10,000 = $2,800. The back-end allows 36% × $10,000 = $3,600 minus the $500 of debts, leaving $3,100. The smaller figure governs: a $2,800 housing budget. With $500 a month of taxes, insurance, and HOA, the P&I budget is $2,300, which at 7% over 30 years supports a $345,707 loan — a $405,707 top price with $60,000 down.
Questions from the field
What is the 28/36 rule? Housing costs under 28% of gross income; all debts under 36%. A screening convention from conventional underwriting, useful as a first pass and nothing more.
Why does the back-end ratio matter? Car payments, cards, and student loans shrink the housing budget before the mortgage is sized. Two households with the same income and different debts afford different houses — this page shows by how much.
Can this replace a pre-approval? No — and it does not try. It tells you whether the conversation with a lender is likely to be pleasant, and what down payment closes the gap.
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