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Free House Affordability Calculator

Get a realistic max home price before you start shopping. Enter your gross monthly income, other monthly debt payments, down payment, and current mortgage rate — and see the exact maximum home price you can afford under both the 28% front-end and 36% back-end DTI caps that conventional lenders use. Full PITI breakdown (principal, interest, taxes, insurance, PMI, HOA) and a rate stress test so you know how much buying power you lose if rates rise.

Your income & debts

$

= $120,000 per year

Before-tax income from all sources. If joint applicants, combine.

$

Car loan, student loan, minimum credit card payments. Do NOT include rent or your new mortgage.

Down payment & loan

$

20% down avoids PMI. Below that, the calculator factors PMI into your monthly cost.

%

Annual rate quoted by your lender, or the current market rate.

You can afford a home up to

$395,067

With $60,000 down (15.2%), you'd borrow $335,067.

Front-end DTI28.0% / 28% max
Back-end DTI (with other debts)33.0% / 36% max

Front-end DTI is your binding constraint.

Monthly payment breakdown

Principal & interest$2,173.24
Property tax$362.14
Insurance$125.00
PMI$139.61
Total PITI$2,799.99

Rate stress test: if rates rose by 1% before you closed, your max home price would drop to $368,328 — a $26,739 loss of buying power.

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Max home price

$395,067

Monthly PITI

$2,800

📐 Open methodology, sources & limitations

Formula

Maximum home price is found by enforcing the 28/36 debt-to-income rule:

Front-end DTI:  PITI ÷ gross monthly income ≤ 28%
Back-end DTI:   (PITI + other monthly debts) ÷ gross monthly income ≤ 36%

  max front-end PITI = income × 0.28
  max back-end PITI  = income × 0.36 − other monthly debts

For any candidate home price:
  loan        = home price − down payment
  monthly P&I = standard amortization formula on loan
  monthly tax = home price × property tax rate ÷ 12
  monthly PMI = loan × PMI rate ÷ 12   (only while LTV > 80%)
  PITI        = P&I + tax + insurance + PMI + HOA

Because tax and PMI scale with price, the tool binary-searches over home
price for the largest value where PITI fits the LOWER of the two DTI caps.
The binding constraint is whichever cap yields the smaller home price.

Stress test re-runs the entire search at the interest rate + 1%.

Assumptions

  • Default debt-to-income caps are the conventional 28% front-end and 36% back-end ratios; both are editable.
  • The binding constraint is whichever DTI cap produces the lower maximum home price.
  • PMI is included only when the down payment is under 20% (LTV above 80%).
  • Property tax is entered as an annual percent of home price and recomputed at each candidate price during the search.
  • The rate stress test models a 1 percentage-point increase in the mortgage rate to show buying-power sensitivity.

This tool does NOT model:

  • Credit score, employment history, and asset reserves used in real underwriting
  • FHA, VA, or USDA program-specific ratio allowances and residual-income tests
  • Compensating factors that let lenders exceed 36% back-end DTI
  • Closing costs, moving costs, and post-purchase cash reserves
  • Ongoing home maintenance budgeting (separate from PITI)
  • Income that is variable, bonus-based, or self-employment derived

Last reviewed: 2026-05-20

This methodology section exists so you can verify the math. We show our formulas because you deserve to know how a number was calculated. This is calculation transparency, not financial advice.

When to use this affordability calculator

Most people start their homebuying journey by browsing Zillow and falling in love with houses that don't actually fit their budget. The result is months of disappointment, low offers that lose to better-qualified buyers, and surprise pre-approval rejections. The right order is the other way around: figure out the price band that's realistic given your income, debt load, down payment, and current rates — then shop.

This calculator gives you that price band using the same 28/36 debt-to-income rule conventional lenders apply during underwriting. Enter your income, debts, and down payment; pick a realistic interest rate; and you'll see your true max home price, broken down into a full PITI payment so there are no surprises at closing. The rate stress test shows how much buying power you'd lose if rates rose 1% before you locked — useful when shopping in a rising-rate environment.

How the 28/36 rule works

Conventional lenders evaluate your loan application against two debt-to-income ratios:

  • Front-end DTI (the housing ratio) — your full monthly mortgage payment (Principal, Interest, Taxes, and Insurance, plus PMI and HOA where applicable) divided by your gross monthly income. Most lenders cap this at 28%. The Fannie Mae Selling Guide codifies 28% as the conventional threshold for the strongest underwriting outcomes.
  • Back-end DTI (the total debt ratio) — the same PITI plus all your other monthly debt payments (car loans, student loans, minimum credit card payments) divided by gross income. Conventional cap: 36%. Some programs go higher — FHA allows up to 43% back-end, VA looks at residual income instead, and a few jumbo lenders will stretch to 50% for strong borrowers — but 36% is the safe planning number.

The binding constraint is whichever produces the lower max home price. Borrowers with no other debts are usually front-end constrained — the 28% cap is the limit. Borrowers carrying a car payment and student loans are usually back-end constrained, which means paying down those debts unlocks more home price for the same income.

Why the calculator iterates

Property tax and PMI both scale with the home price, which makes the affordability math recursive: a higher home price means higher tax and higher PMI, which leaves less of your PITI budget for principal and interest, which lowers the loan you can support. This calculator binary-searches for the maximum home price where the full PITI (with tax and PMI recomputed at each candidate price) still fits inside the lower of your two DTI caps. The result is accurate, not approximated by simple rules of thumb.

Reading the PITI breakdown

The results panel splits your monthly payment into its real components so you understand where the money goes. Principal & interest typically accounts for 60–80% of PITI; property tax adds 10–20%; insurance 3–7%; PMI (if applicable) 2–5%; HOA varies. Many first-time buyers see only the principal-and-interest number on lender websites and are shocked when their actual monthly cost is 30–50% higher. The breakdown here is realistic from day one.

Common affordability mistakes to avoid

  • Maxing out your pre-approval. Banks pre-approve up to the absolute ceiling the math allows. Buying at that ceiling leaves no room for emergencies, repairs, or a job transition. Most financial planners suggest staying 10–20% below your pre-approval limit.
  • Forgetting property tax and insurance. A “$2,500 mortgage” on a lender ad is usually principal and interest only. The full PITI can be $3,200–$3,800 on the same loan once tax, insurance, and HOA are layered in.
  • Ignoring PMI when putting less than 20% down. PMI typically adds $80–$400/mo on a $300k loan. It cancels eventually (at 80% LTV) but for years 1–7 it's a real cost.
  • Not factoring in maintenance. The 1%-of-home-value-per-year rule of thumb for maintenance is widely cited and roughly correct. On a $400k home that's $4,000/yr — separate from your PITI. Budget for it.
  • Assuming today's rate. Rates can move 0.5–1% between pre-approval and closing. Use the stress test result as your honest planning number.
  • Skipping closing costs. Plan for 2–5% of the home price in upfront closing costs. On a $400k house that's $8,000–$20,000 on top of your down payment.

Frequently Asked Questions

What is the 28/36 rule?+

The 28/36 rule is the conventional mortgage underwriting heuristic: your housing costs (PITI) should be 28% or less of your gross monthly income (front-end DTI), and your total monthly debts including PITI should be 36% or less (back-end DTI). It comes from decades of default-rate analysis showing that borrowers within these ratios are dramatically less likely to default. The Fannie Mae Selling Guide codifies these ratios as the conventional thresholds.

Is the 28/36 rule actually used by lenders?+

Yes — it's the conventional underwriting baseline, but lenders apply it with judgment. Strong borrowers (high credit score, large down payment, significant assets) often get approved above 36% back-end. FHA loans typically allow up to 43% back-end and sometimes 50%. VA loans use a residual-income test instead. But 28/36 is still the right planning number — staying inside it keeps the most loan options open and produces the lowest interest rates.

What counts as "other monthly debts"?+

Lenders include any debt that shows up on your credit report with a required monthly payment: car loans, student loans, minimum credit card payments (not the full balance), personal loans, and other mortgages. They do NOT include: utilities, groceries, subscriptions, gym memberships, child care, or anything not on your credit report. Alimony and child support payments are typically included if they're court-ordered.

Why does my pre-approval letter say I can borrow more than this calculator?+

Pre-approval letters often use generous assumptions — they may apply a 43% or even 50% back-end DTI cap, exclude PMI from the affordability test, or use a lower property tax estimate. This calculator uses the conventional 28/36 caps that minimize default risk. The pre-approval ceiling is the lender's ceiling; your sensible ceiling is usually 10–20% lower. Staying below your pre-approval limit also leaves margin for closing costs, moving expenses, and the inevitable post-move purchases.

How does property tax affect what I can afford?+

Property tax is part of PITI and reduces your borrowing power dollar-for-dollar. A 1.1% tax rate on a $400,000 home adds $367/month — that's roughly $50,000–$60,000 of mortgage principal you can't borrow. High-tax states (NJ, IL, NH, TX) cut affordability significantly versus low-tax states (HI, AL, CO, LA). Use your county's actual rate, not a national average.

Should I put 20% down even if I have less saved?+

Putting 20% down avoids PMI (typically $80–$400/mo on a $300k loan), gets you better rates, and gives you instant equity. But waiting 2–3 years to save the extra 5–10% means missing 2–3 years of price appreciation in most markets. The math often favors buying sooner with 5–10% down and accepting PMI for the first few years until your equity hits 20% and PMI cancels. Run both scenarios with this calculator to see which produces the better outcome for your timeline.

What does the rate stress test show?+

Rates can move 0.5–1% between your pre-approval and your closing — sometimes more in volatile markets. The stress test recomputes your max home price assuming rates rise 1% before you lock. The gap between your normal max and your stressed max is the buying power at risk. If the gap is small ($10k–$20k), you have flexibility. If it's large ($50k+), shop for a lower-priced home or lock your rate early.

Is my financial data stored or shared?+

No. Every calculation runs entirely in your browser. Your income, debts, and down payment never leave your device. Nothing is logged, uploaded, or tracked. The URL contains your inputs so you can share a scenario with your spouse — but only the link recipient sees it; nobody at FT2G ever does.