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How Much House Can I Afford?

Calculate your maximum home price based on income, debts, and down payment. See conservative, moderate, and aggressive affordability ranges with DTI analysis.

Last updated October 18, 2026

How our math works

Assumptions
  • 30-year fixed-rate loan at 6.75% interest, fully amortizing
  • Property tax 1.2% of home value/yr, insurance $1,800/yr; PMI added when the down payment is under 20%
  • Rates shown are interest rates used for estimation only — not APRs and not offers. APR reflects fees and other loan costs and may differ from the interest rate shown.
My scenario

Enter income, debts, price, and rate once. Every calculator pre-fills.

Location
Sets tax, insurance, and closing customs

Optional — refines the state estimate

U.S. average: 1.10% property tax · 0.40% homeowners insurance · 0.2% transfer tax. You can override any field.
Income & Debts

$

$

Car loans, credit cards, student loans, etc.

$

Loan Details

%

Credit Score

740
Used to estimate PMI when your down payment is under 20%

%

Annual rate as % of home value

$

$

Recommended Home Price

$452,957

Moderate scenario — based on 36% back-end DTI (incl. debts) with $3,100/month payment incl. $78 PMI

Monthly Income
$10,000
Down Payment
$80,000
18% of moderate
Current Debts
$500/mo
Back-End DTI
36%
Good
Alternative Scenarios

How a safer option and maximum qualification compare to your recommended price above

Conservative (28/36 Rule)

Safest option with breathing room for unexpected expenses

Binding constraint: 28% front-end DTI (housing only)

$413,971

$2,800/month (incl. $70 PMI)

Aggressive (43% Back-End DTI)

Top of typical guideline ranges — leaves little room for error

Binding constraint: 43% back-end DTI (incl. debts)

$538,940

$3,799/month (incl. $134 PMI)

Price vs Annual Payment

Compare home prices and what you'll pay each year

Conservative: Home Price $413,971, Annual Payment $33,600; Moderate: Home Price $452,957, Annual Payment $37,200; Aggressive: Home Price $538,940, Annual Payment $45,588.

Monthly Budget Impact

How each option affects your monthly finances

Monthly income remaining after housing payment:

Conservative

$7,200 left

Moderate

$6,900 left

Aggressive

$6,201 left


Key Insights

What these numbers mean for you

Insight

Conservative ($413,971): Safest option with breathing room for unexpected expenses

Insight

Moderate ($452,957): Balanced approach - most common choice for stable income

Insight

Aggressive ($538,940): Top of typical guideline ranges - leaves little room for error

Insight

Your $500/month in other debts is the binding constraint: the 36% back-end rule caps your housing payment at $3,100/month instead of $3,600. Paying down debts raises your budget dollar-for-dollar.

Tip

Your down payment is below 20% at the recommended price, so $78/month PMI is already included in these payments. PMI drops off once you reach 20% equity.

The Bottom Line

With a $120,000 annual income and $80,000 down payment, we recommend looking at homes up to $452,957. This keeps your monthly payment at $3,100, leaving you with $6,900 each month for other expenses.


Here are the exact formulas behind your numbers. No black boxes — just math.

Maximum Monthly Payment

Monthly Gross Income

$10,000
Annual Income ÷ 12Convert annual salary to monthly.

Front-End Cap (28% rule)

$2,800
Monthly Income × 0.28Lenders typically cap housing costs at 28% of gross income.

Back-End Cap (36% rule)

$3,100
Monthly Income × 0.36 − Other DebtsTotal debt payments (housing + other) should stay under 36%.

Binding Constraint

back-end DTI
min(Front-End Cap, Back-End Cap)The lower cap is the one that actually limits your housing budget. The recommended price uses the 36% back-end cap, which includes your other debts.
Home Price from Payment

Monthly Rate

Annual Rate ÷ 12 ÷ 100Convert annual percentage to monthly decimal.

Number of Payments

Loan Term × 12Total months over the life of the loan.

PMI (if LTV > 80%)

$78 (0.25%/yr)
Loan Amount × PMI Rate ÷ 12When your down payment is under 20%, monthly PMI is included in the payment before solving for price. The rate (≈0.2%–1.5%) comes from a shared LTV × credit score grid.

Loan Amount

(Payment − Tax − Insurance − PMI − HOA) × [(1+r)ⁿ − 1] ÷ [r × (1+r)ⁿ]Standard present value of annuity formula, solving for principal from the budget left after escrow items and PMI.

Max Home Price

$452,957
Loan Amount + Down PaymentAdd your down payment to the loan amount.
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Frequently Asked Questions

A common guideline is the 28/36 rule: spend no more than 28% of gross monthly income on housing and no more than 36% on all debt payments combined. This calculator applies both limits — plus your down payment, rate, taxes, and insurance — to produce conservative, moderate, and aggressive price ranges.

Conventional loans generally allow back-end DTI up to 45% (sometimes 50% with strong compensating factors), FHA up to about 50% with compensating factors, and VA loans are evaluated more holistically around residual income. Lower DTI means better pricing and less payment stress.

Yes. Monthly debts like car loans, student loans, and credit card minimums are counted against your back-end DTI, which usually becomes the binding constraint. The results label which limit — housing ratio or total-debt ratio — is capping your budget.

Methodology & Data Sources

Calculations use standard amortization formulas on the inputs you provide. Where available, the “Show Me the Math” section above walks through the exact formulas behind your result. Default interest rate (30-yr fixed: 6.75%) is based on national averages from the Freddie Mac Primary Mortgage Market Survey (PMMS), week of October 15, 2026. Replace defaults with your actual quote for precise results.Content reviewed by the Dett.io editorial team. Last updated: .
Important: This calculator provides estimates for educational purposes only. Results are not a loan offer, pre-qualification, pre-approval, or commitment to lend. Actual rates, terms, payments, and eligibility are determined by mortgage lenders based on your complete financial profile, credit history, property appraisal, and current market conditions. Dett.io is not a lender, broker, or financial advisor. Consult qualified professionals before making financial decisions. See our Terms of Use for full details.