TheCalculatorVault

House Affordability Calculator

Find the maximum home price you can afford from your income, debts, down payment and rate — using the lender 28/36 DTI rule with full PITI accounting for taxes, insurance, HOA and PMI.

Currency
$
$
$
% /yr
yr
DTI limits — 28 / 36 rule
%
%
Taxes, insurance, HOA & PMI (monthly)
$
$
$
$

Results update live as you type

Affordable home price
Loan of $283,513.79 plus $60,000.00 down.
Max monthly housing payment (PITI)
Principal, interest, taxes & insurance
Loan principal
$1,792.00/mo P&I budget
Binding constraint
Front-end (housing) ratioFront $2,100.00 · Back $2,200.00

How your affordable home price is composed

The larger your down payment, the more it adds directly to the price on top of the loan your income supports.

Step-by-step affordability breakdown

StepAmount
Gross monthly income(90,000 ÷ 12)$7,500.00
Front-end ceiling (28%)(income × front-end ratio)$2,100.00
Back-end ceiling (36%)(income × back-end ratio − debts)$2,200.00
Max housing payment (PITI)(the lower of the two ceilings)$2,100.00
Less taxes, insurance, HOA, PMI(non-P&I housing costs)-$308.00
P&I budget available(what pays down the loan)$1,792.00
Loan principal supported(at 6.5% over 30 yr)$283,513.79
Plus down payment$60,000.00
Affordable home price$343,513.79

Affordable home price by loan term

TermHome price
10 years$217,818.75
15 years$265,715.17
20 years$300,352.01
25 years$325,400.03
30 years$343,513.79
40 years$366,085.77

A longer term lowers the payment per dollar borrowed, so the same P&I budget stretches to a larger loan — at the cost of far more total interest.

Like this? Share: Email

How much house can you actually afford?

Before you fall in love with a listing, it helps to know the ceiling. This calculator answers the question lenders ask first — how large a mortgage payment fits inside your income? — and then works backward to the maximum purchase price that payment supports. It uses the same 28/36 debt-to-income (DTI) framework a loan officer starts with, and accounts for the full PITI payment: principal, interest, taxes, and insurance, plus HOA dues and PMI.

The result is a realistic, conservative budget rather than a wishful one. If you want to see the monthly payment on a specific price, pair this with the amortization calculator; if you already know a price and want to compare owning against renting, try the rent vs buy calculator.

How it works — the 28/36 rule, in three steps

The calculator chains three simple steps:

  • 1. Find your two DTI ceilings. The front-end ceiling is 28% of gross monthly income; the back-end ceiling is 36% of gross monthly income minus your existing non-housing debts. Your housing budget is the smaller of the two.
  • 2. Carve out the non-mortgage costs. Subtract monthly property tax, homeowners insurance, HOA fees, and PMI to find the budget left for principal and interest (P&I).
  • 3. Reverse-solve for the loan. Find the loan amount whose monthly P&I payment exactly matches that budget, then add your down payment.

frontEndMax = grossMonthlyIncome × 0.28
backEndMax = grossMonthlyIncome × 0.36 − monthlyDebts
maxHousingPayment = max(0, min(frontEndMax, backEndMax))
maxPI = maxHousingPayment − tax − insurance − HOA − PMI
loanPrincipal = maxPI × ((1+r)^N − 1) / (r × (1+r)^N)
affordableHomePrice = loanPrincipal + downPayment

where r is the monthly interest rate (annual rate ÷ 12) and N is the term in months. When the rate is zero, the loan is simply maxPI × N.

The binding limit is almost always your debts, not your income. Because the back-end ratio subtracts every car payment, student loan, and credit-card minimum before granting you a housing budget, paying down a single loan can raise your affordable price far more than a raise of the same size.

Worked example

A household earning $90,000 a year with $500 in monthly debts, $60,000 saved for a down payment, and a 6.5% rate over 30 years — with $183 property tax and $125 insurance each month. Here is exactly how the engine gets to the number (these are the calculator's default inputs):

StepAmount
Gross monthly income ($90,000 ÷ 12)$7,500.00
Front-end ceiling (28% of income)$2,100.00
Back-end ceiling (36% − $500 debts)$2,200.00
Max housing payment (lower of the two)$2,100.00
Less taxes + insurance ($183 + $125)−$308.00
P&I budget available$1,792.00
Loan principal (6.5% over 30 yr)$283,513.79
Plus down payment$60,000.00
Affordable home price$343,513.79

Notice the front-end ceiling ($2,100) binds here — it is lower than the back-end ceiling ($2,200), so it sets the housing budget. The taxes and insurance then shave $308 off before any of it goes toward the loan itself.

Loan-program guidelines you can plug in

The 28/36 split is a conventional starting point, not a law. Different programs use different ratios — set the front-end and back-end fields to match the program you are targeting:

Loan programFront-endBack-endNotes
Conventional (28/36 rule)28%36%Classic conservative target; Fannie Mae manual-underwriting back-end cap.
Conventional (DU-approved)45–50%Automated underwriting may allow higher with strong compensating factors.
FHA31%43%General qualifying ratios; higher allowed with compensating factors. Uses MIP, not PMI.
VA41%Back-end guideline; VA also applies a residual-income test instead of a strict front-end ratio.

If you are financing in India rather than the US, the home loan eligibility calculator uses the FOIR framework on net income instead, and the mortgage refinance calculator helps once you already own and want to lower your rate.

Assumptions and limitations

  • Assumes a fixed-rate, fully-amortizing mortgage; ARMs, interest-only, and balloon loans are out of scope.
  • Income is treated as gross (pre-tax) monthly income, per CFPB guidance on DTI.
  • Property tax, insurance, HOA, and PMI are entered as fixed monthly dollar amounts and subtracted from the housing ceiling — matching how lenders compute PITI-based DTI. The calculator does not auto-derive PMI from your LTV; enter your best estimate.
  • The 28/36 rule is a lender guideline, not a legal maximum. The CFPB removed its 43% General QM DTI hard cap on 1 July 2021, replacing it with a price-based (APR vs APOR) standard — so 43% is not a current statutory ceiling.
  • This is an affordability estimate, not a pre-approval. It excludes closing costs, moving expenses, maintenance, utilities, and lifestyle changes. Confirm with a licensed mortgage professional.

How to improve your home affordability

If the number you see is lower than the home price you are targeting, there are several levers you can pull — roughly in order of impact:

  • Pay down existing debts. Because the back-end ratio subtracts every recurring payment from your housing ceiling, eliminating a $300/month car loan can raise your affordable home price by tens of thousands of dollars — often more than a comparable pay rise would. Run the numbers: enter $0 in the monthly-debts field to see your theoretical ceiling without current obligations.
  • Grow your down payment. Every additional dollar you put down adds a dollar to your affordable price while holding the loan amount constant. A larger down payment also lowers or eliminates PMI, freeing that monthly budget for more loan principal.
  • Raise your income. Gross income is the denominator in both DTI ratios. A salary increase, a second earner on the application, documented side income, or a bonus letter can all expand the ceiling. Lenders typically require a two-year history for variable income such as freelance or overtime.
  • Improve your credit score. A higher score does not directly change this calculator's output — DTI ratios are income-based — but it may unlock a lower interest rate from your lender. Entering a lower rate in this calculator shows you how much a better score can move your affordable price.
  • Extend the loan term. A 30-year term has a lower monthly payment than a 15-year term at the same rate, so the same P&I budget supports a larger loan. The trade-off is more total interest paid over the life of the loan — use the amortization calculator to compare.

Frequently asked questions

What is the 28/36 rule for house affordability?+

The 28/36 rule is a widely-used lender guideline that caps your total housing payment (principal, interest, taxes, and insurance — PITI) at 28% of your gross monthly income (the front-end ratio), and caps your total monthly debt including housing at 36% of gross monthly income (the back-end or DTI ratio). Both limits are checked simultaneously; the smaller of the two determines your binding ceiling. These percentages are defaults you can adjust in the calculator for FHA (31/43), VA (back-end 41%), or any custom limits your lender quotes.

What does PITI mean in a mortgage payment?+

PITI stands for Principal, Interest, Taxes, and Insurance — the four components of a complete monthly mortgage payment. Principal and interest (P&I) are the amortizing portions that pay down the loan. Property taxes are collected monthly and held in escrow by the lender. Homeowners insurance is also escrowed. Lenders include all four (plus any HOA fees and PMI) when computing your housing-to-income ratio, which is why this calculator subtracts them before back-solving for the loan amount you can afford.

How does this calculator determine my maximum home price?+

It works in three steps. First, it applies the front-end and back-end DTI ratios to your gross monthly income and takes the smaller ceiling. Second, it subtracts the monthly property tax, homeowners insurance, HOA fees, and PMI from that ceiling to find the maximum principal-and-interest (P&I) budget. Third, it reverse-solves the standard fixed-rate amortization formula to find the loan amount that exactly consumes that P&I budget, then adds your down payment for the total affordable home price.

What is the difference between front-end and back-end DTI ratios?+

The front-end DTI (housing ratio) compares only your monthly housing payment to gross income. The back-end DTI (total debt ratio) compares all monthly debts — housing plus car loans, student loans, credit-card minimums, and other obligations — to gross income. Lenders check both; if your non-housing debts are large, the back-end limit will bind first and reduce your affordable home price more than the front-end limit alone would.

When should I enter PMI in this calculator?+

Private mortgage insurance (PMI) is typically required on conventional loans when the down payment is less than 20% of the home price, meaning the loan-to-value (LTV) ratio exceeds 80%. PMI premiums generally run 0.5%–1% of the loan amount per year (roughly 0.5%/12 per month). Because the home price is the output rather than an input here, enter your best estimate of the monthly PMI you expect — for instance, $100–$200/month for a moderate-priced home — and adjust as you narrow your target price.

Does this calculator guarantee I will be approved for a mortgage?+

No. This is an affordability estimate based on income and debt ratios, not a mortgage pre-approval. Actual loan approval depends on your credit score, credit history, asset reserves, employment history, the specific loan program, and individual lender overlays. Many lenders use automated underwriting systems that weigh dozens of factors beyond a single DTI ratio. Use this result as a planning starting point, then consult a licensed mortgage professional for a formal pre-approval.

What is the maximum DTI allowed for a mortgage in the US?+

There is no single legal maximum DTI for all mortgages. The CFPB removed its 43% General QM hard cap effective 1 July 2021, replacing it with a price-based (APR vs APOR) standard. In practice, Fannie Mae's Desktop Underwriter system may approve up to 45–50% DTI with strong compensating factors. FHA guidelines use a 43% back-end ratio as a general threshold, with compensating factors allowing higher. Conventional lenders often apply a 36%–45% range. The 28/36 defaults in this calculator are conservative conventional targets.

How do I use this calculator for an FHA loan?+

FHA guidelines traditionally use a 31% front-end ratio and 43% back-end ratio. Simply set the front-end DTI field to 31 and the back-end DTI field to 43 in the calculator. Note that FHA loans require a mortgage insurance premium (MIP) rather than PMI — enter your expected monthly MIP in the PMI field. FHA also allows as little as 3.5% down for borrowers with credit scores of 580 or higher, so you can enter a smaller down payment to model that scenario.

What costs are not included in this affordability estimate?+

The calculator focuses on the recurring monthly housing payment within DTI limits. It does not include closing costs (typically 2%–5% of the loan amount), moving expenses, home inspection fees, immediate repair or renovation needs, ongoing maintenance costs (typically 1%–2% of home value per year), utilities, or lifestyle budget adjustments from homeownership. Plan for these separately before setting your budget.

Why does a higher down payment increase my affordable home price?+

A larger down payment reduces the loan principal required for a given home price. But this calculator works in reverse: it first finds the maximum loan amount your P&I budget supports, then adds the down payment to get the total purchase price. So increasing the down payment directly lifts the ceiling — every additional dollar of down payment is a dollar more in affordable home price, holding the loan amount constant. It also reduces or eliminates PMI when the down payment reaches 20% of the home price.

What is the difference between this calculator and the Home Loan Eligibility Calculator?+

The Home Loan Eligibility Calculator uses the Indian FOIR (Fixed Obligation to Income Ratio) framework applied to net take-home income, solves for the maximum loan amount a bank will sanction, and optionally applies an LTV cap. This House Affordability Calculator uses the US 28/36 DTI framework applied to gross pre-tax income, accounts for the full PITI housing payment (taxes, insurance, HOA, PMI), and outputs the maximum home price you can afford (loan + down payment). The two tools serve different markets and regulatory frameworks.

What is a good debt-to-income ratio for buying a house?+

A back-end DTI below 36% is generally considered a strong position for a conventional mortgage — it is the manual-underwriting ceiling Fannie Mae publishes and the back-end limit in the classic 28/36 rule. A DTI between 36% and 43% is typically still approvable with good credit and reserves; Fannie Mae's automated system (Desktop Underwriter) may accept up to 45–50% with compensating factors. Above 50%, most conventional lenders will decline, though some government-backed programs (VA, USDA) and portfolio lenders have their own thresholds. The lower your DTI, the more flexibility you have on rate, loan size, and program choice — and the more buffer you retain if interest rates rise or income dips.

Disclaimer

This calculator is provided for general educational and informational purposes only. Its results are estimates based on the figures you enter; a lender’s actual offer, interest rate, fees and eligibility criteria may differ. It is not financial or lending advice. Please confirm the details with your lender and consult a qualified professional before borrowing.

Sources

Formula and data last reviewed by the TheCalculatorVault team on 3 July 2026. Figures are for general information, not professional advice.