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Mortgage & Home

First-Time Homebuyer Calculator

Estimate how much house your income can support using the 28/36 debt-to-income limits lenders apply. The calculator turns your salary, monthly debts, and savings into a maximum price and an estimated payment, with PMI included when the down payment runs under 20 percent.

By Michael Torey, Financial WriterLast reviewed: July 16, 2026
$85,000

Car, student loans, credit cards, etc.

$40,000
6.75%

Max Home Price

$284,630.18

Est. Monthly Payment

$2,119.07

Loan Amount

$244,630.18

Down Payment

$40,000.00

Down Payment %

14.05%

LTV

85.95%

DTI

36.98%

Monthly PMI

$152.89

Work backward from the payment

A lender's pre-approval answers the wrong question. It tells you the most a bank will lend, which is calculated to protect the bank, and it says nothing about whether the payment leaves room for retirement contributions, car repairs, or a child. Affordability is the payment you can carry while the rest of your financial life continues. The two ratios in this calculator are the standard yardsticks. The front-end ratio holds your full housing cost, payment, taxes, insurance, and PMI together, to 28 percent of gross monthly income. The back-end ratio holds housing plus every other debt to 36 percent. These are ceilings. A household running at both limits still has to cover income taxes, food, transportation, and savings out of what remains, which is why many planners suggest treating 25 percent of gross income as the comfortable mark for housing.

The default inputs, step by step

Numbers make the method easier to trust. The table walks the default inputs, $85,000 in income, $500 in monthly debts, $40,000 saved, a 6.75 percent rate, and a 1.2 percent property tax rate, through each stage of the calculation.
StepAmount
Gross monthly income ($85,000 / 12)$7,083
Front-end cap: 28% for housing$1,983
Back-end cap: 36% minus $500 in debts$2,050
Budget used (the tighter cap)$1,983
Portion assumed for principal and interest (80%)$1,587
Largest loan that payment supportsabout $244,600
Maximum price with $40,000 downabout $284,600

The default scenario worked through, matching what the calculator reports.

  • The estimated total payment comes to about $2,119: $1,587 in principal and interest, $285 in property tax, $95 in insurance, and $153 in PMI.
  • That total runs slightly over the $1,983 cap because taxes at 1.2 percent plus PMI on a 14 percent down payment outrun the 20 percent set-aside; the reported DTI lands near 37 percent.
  • A higher tax rate, a bigger rate, or more monthly debt each shrink the supportable price quickly. Rerun the tool with your real figures rather than the defaults.

Match a program to your credit and savings

Conventional loans with 3 to 5 percent down suit buyers with scores above roughly 680; PMI cancels at 20 percent equity, and the HomeReady and Home Possible variants cut the down payment to 3 percent with reduced PMI for buyers under local income limits. Scores in the 580 to 680 range usually price better through FHA, which takes 3.5 percent down and tolerates higher debt ratios, at the cost of mortgage insurance that persists on low-down loans. Two zero-down programs cover specific groups. VA loans serve eligible veterans, service members, and some surviving spouses with no down payment and no monthly insurance. USDA single-family programs do the same for moderate-income buyers in eligible rural and suburban areas. Neither is niche; USDA eligibility maps reach into the outer suburbs of many metros, and both are worth checking before assuming a down payment is required.

Budget for more than the down payment

The down payment is the headline number, but the cash to close is larger. On a $350,000 home with 5 percent down, the full bill runs roughly $28,000 to $35,000 once everything is counted, and arriving at closing with nothing left in reserve is its own kind of risk.
  • Down payment: $17,500 at 5 percent on a $350,000 home; conventional minimums start at 3 percent, FHA at 3.5, VA and USDA at zero.
  • Closing costs: 2 to 5 percent of the price, about $7,000 to $17,500 on that home.
  • Prepaid taxes and insurance: $2,000 to $4,000 collected at closing to seed the escrow account.
  • Inspection and appraisal: $700 to $1,200, paid during the contract period.
  • Reserves: one to three months of payments left in savings after closing, which some loan programs require and every budget appreciates.
  • Seller concessions can offset 3 to 6 percent of the price depending on loan type, and they are negotiable in all but the hottest markets.

Down payment help is easy to miss

Assistance programs are the most overlooked resource in first-time buying. They arrive in three shapes: grants that never need repayment, forgivable second mortgages that clear after five to ten years in the home, and repayable seconds at low or zero interest. Awards commonly land between $5,000 and $25,000, enough to cover most of a modest down payment. Nearly every state runs at least one program through its housing finance agency, and many cities and counties stack additional help on top. Income limits and purchase price caps apply, and most programs require a homebuyer education course. A lender who works with your state agency, or a HUD-approved housing counselor, can list what you qualify for in a single conversation. Ask before you shop, since some programs must be attached to the loan from the start.

Get pre-approved before you tour homes

Pre-approval is a verified review: the lender checks credit, income, assets, and debts, then commits in writing to a loan amount, usually within one to three business days. Pre-qualification is an unverified estimate and carries little weight with sellers. In a competitive market the difference decides whose offer gets taken seriously. The letter typically holds for 60 to 90 days. Between pre-approval and closing, avoid opening new credit cards, financing a car, or changing jobs, since underwriters recheck everything shortly before closing and any of those can shrink or sink the approval.

What happens at closing

Three business days before closing, the lender must send a Closing Disclosure listing every final cost. Compare it line by line with the Loan Estimate you received at application; the rate, loan amount, and payment should match, and certain fees are not allowed to increase. The CFPB's closing checklist walks through the comparison document by document. Closing day itself takes an hour or two. Bring a cashier's check or arrange a wire for the remaining cash, and confirm wire instructions by phone with the title company directly, because wire fraud specifically targets home closings. After signing, the title company records the deed and the lender funds the loan. In most states you get keys the same day, and the first mortgage payment falls due 30 to 60 days later.

How This Calculator Works

The calculator works backward from income to price. It applies the two caps lenders lean on, 28 percent of gross monthly income for housing and 36 percent for all debts combined, and takes whichever binds tighter. It then reserves about 20 percent of that housing budget for taxes and insurance, solves the remaining 80 percent for the largest loan the payment supports, and adds your savings to reach a maximum price. Property tax uses the rate you enter, insurance is estimated near 0.4 percent of the home's value per year, and PMI at 0.75 percent of the loan applies whenever the down payment falls under 20 percent. Because taxes and PMI at your inputs can outrun that 20 percent set-aside, the reported payment and DTI may land slightly above the caps; the tool shows the real figures rather than hiding the overage. FHA and VA underwriting allow higher ratios than 28/36, so an actual approval could exceed what you see here.

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Disclaimer: This calculator provides estimates for informational purposes only. Results are based on the information you provide and standard financial formulas. Actual loan terms, rates, and payments may vary. This is not financial advice. Please consult with a qualified financial professional and verify all figures with your lender before making borrowing decisions.