Buying a home

Home Affordability Calculator

Work backward from your budget. This calculator applies the debt-to-income limits most lenders start from (28% of gross income for housing, 36% for all debts) and tells you the home price, loan and monthly payment those limits support, with a conservative and a stretch figure.

Your finances
90,000
$
Before taxes, all borrowers combined
500
$
Car, student loans, card minimums
40,000
$
Loan & costs
6.5
%
1.1
%
1,800
$
0
$
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You can comfortably afford
$304,369
Stretch budget at 43% DTI: $390,727
Your income is the limit here (28% front-end ratio), not your other debts.
$2,100per month
Principal & interest
$1,671
Property tax
$279
Homeowner's insurance
$150
HOA
$0
Loan amount
$264,369
Down payment
13.1% of price

How affordability is calculated

The formula

Front-end (housing) limit
Front-end budget = Gross monthly income × Front-end limit
Gross monthly income
Annual income before taxes ÷ 12, for all borrowers combined
Front-end limit
The share of income the selected loan type allows for housing (28% by default)
Back-end (total debt) limit
Back-end budget = (Gross monthly income × Back-end limit) − Monthly debts
Back-end limit
The share of income the selected loan type allows for all debts, housing included (36% by default)
Monthly debts
Car payments, student loans, card minimums and other recurring debt payments
Maximum housing payment
Housing payment = The lower of the front-end and back-end budgets
Principal and interest you can carry
P&I = Housing payment − Price × Tax rate + Annual insurance12 − HOA
Tax rate
Annual property tax as a percentage of the price
HOA
Monthly homeowners association dues
Loan the payment supports
Loan = P&I × 1 − (1 + r)⁻ⁿr
r
Monthly interest rate: the annual rate ÷ 12, as a decimal
n
Number of monthly payments: the term in years × 12
Home price
Price = Loan + Down payment
Down payment
The cash you plan to put toward the purchase

The calculator starts from two debt-to-income tests, using the selected loan type's limits (28% for housing and 36% for all debts by default). The front-end test caps the housing payment as a share of income; the back-end test caps housing plus your other debts. Whichever gives the smaller payment sets your budget, and the results tell you whether your income or your existing debts are the limit. Where a loan type sets only a back-end limit, as VA does, only that test applies.

Property tax, insurance and HOA dues come out of that housing budget first. Because property tax rises with the price, the calculator solves for the price and the tax together, then turns the payment that's left into the largest loan it can repay at your rate and term. Your down payment on top of that loan gives the price.

The stretch figure applies a higher total debt limit (43% in the default setting), closer to the ceiling some lenders allow with strong credit or cash reserves. The payment does not include mortgage insurance or loan program fees, and actual approval limits vary by lender and loan program.

Results are estimates for planning, not a loan offer or financial advice. Lenders, title companies and local rules set the actual figures.

Terms used in this calculator

Debt-to-Income Ratio (DTI)Mortgages & financingDebt-to-income ratio (DTI) is the share of your gross monthly income that goes to debt payments. Lenders use it to decide how large a mortgage payment you can afford.Mortgage Pre-ApprovalMortgages & financingA mortgage pre-approval is a lender's conditional commitment to lend up to a set amount, based on verified income, assets and credit. Sellers often expect one before accepting an offer.Down PaymentMortgages & financingA down payment is the part of a home's purchase price the buyer pays upfront in cash rather than borrowing. It is usually stated as a percentage of the price and is due at closing.PITIMortgages & financingPITI stands for principal, interest, taxes and insurance, the four parts of a typical monthly mortgage payment. Lenders use it to judge whether a borrower can afford a home.MortgageMortgages & financingA mortgage is a loan used to buy real estate, secured by the property itself. If the borrower stops paying, the lender can take the property through foreclosure to recover what is owed.Private Mortgage Insurance (PMI)Mortgages & financingPrivate mortgage insurance (PMI) protects the lender, not the borrower, if a borrower defaults on a conventional loan. It is usually required when the down payment is less than 20% of the home's value.Closing CostsBuying & closingClosing costs are the fees and prepaid expenses paid to complete a real estate purchase, beyond the price and down payment. Buyers typically pay about 2% to 5% of the loan or purchase price.Loan-to-Value Ratio (LTV)Mortgages & financingLoan-to-value ratio (LTV) compares the size of a mortgage with the property's value. A lower LTV means more equity and less risk for the lender, which often brings better loan terms.
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Disclaimer: The information on this page is for general educational purposes only and is not legal, financial, tax or investment advice. Laws, lending rules and market conditions vary by state and change over time, and any figures shown are estimates. Before you buy, sell, finance or bid on a property, consult a qualified attorney, financial advisor, lender or licensed real estate professional about your situation.