Home Affordability Calculator
The Home Affordability Calculator tells you the maximum home price you can responsibly afford based on your gross income, existing monthly debts, down payment, and current mortgage rates. It applies the 28% front-end DTI (debt-to-income) rule used by most conventional lenders to cap your maximum monthly principal-and-interest payment, then back-solves the mortgage amortization formula to find the largest loan — and therefore largest home price — that fits within that limit. Use this before starting your home search to set a realistic budget.
Combined household income, pre-tax
Car loans, student loans, credit card minimums
Max Home Price
$348,110.01
Max Monthly Payment (P&I)
$1,983.33
Max Loan Amount
$298,110.01
Back-End Debt-to-Income Ratio
35.1%
How to use this calculator
- 1
Enter your annual gross income
Use your pre-tax household income. If buying with a partner, combine both incomes here.
- 2
Enter your monthly debt obligations
Include minimum monthly payments on car loans, student loans, credit cards, and any other recurring debts. Do not include the new mortgage payment — that is calculated for you.
- 3
Enter your down payment
The amount you plan to put toward the purchase upfront. A larger down payment reduces your required loan amount and therefore your monthly payment.
- 4
Set the interest rate and loan term
Enter the annual mortgage rate and choose your intended loan term. These are used to back-solve the maximum loan amount from your maximum monthly payment.
- 5
Read your maximum home price
The calculator shows your maximum affordable home price, maximum monthly payment, maximum loan amount, and your total debt-to-income ratio.
Formula
Step 1 — Max monthly P&I payment (28% front-end DTI rule):
Max Payment = (Annual Income ÷ 12) × 0.28
Step 2 — Back-solve mortgage formula for max loan principal:
P = Max Payment × [(1+r)^n − 1] / [r × (1+r)^n]
Where:
r = monthly interest rate (annual rate ÷ 12)
n = loan term in months (years × 12)
Step 3 — Max home price:
Max Home Price = Max Loan + Down Payment
Step 4 — Back-end DTI (for reference):
DTI = (Max Payment + Monthly Debts) / (Annual Income ÷ 12) × 100The 28% front-end rule is a standard underwriting guideline used by Fannie Mae, Freddie Mac, and most conventional lenders: your monthly housing payment should not exceed 28% of gross monthly income. We then invert the standard amortization formula to find the largest loan that produces exactly that payment. The back-end DTI (housing + all debts) should ideally stay below 36–43%; values above 43% typically require compensating factors for loan approval.
Worked Example
Annual Income: $85,000 Monthly Debts: $500 (car + student loan minimums) Down Payment: $50,000 Interest Rate: 7.00% per year Loan Term: 30 years Gross monthly income = $85,000 ÷ 12 = $7,083 Max monthly payment = $7,083 × 0.28 = $1,983 Monthly rate r = 0.07 ÷ 12 = 0.005833 Periods n = 30 × 12 = 360 Max loan = $1,983 × [(1.005833)^360 − 1] / [0.005833 × (1.005833)^360] ≈ $297,900 Max home price = $297,900 + $50,000 = $347,900 Back-end DTI = ($1,983 + $500) / $7,083 × 100 ≈ 35.1% (Below the 36% conventional guideline — this borrower would likely qualify.)