Affordability Calculator

A home affordability calculator is a free online tool that estimates how much house you can afford. It uses the 28/36 rule, your income, debts, and down payment to find your budget range. Free, no sign-up required.

Your Financial Profile

?Your total gross annual income before taxes and deductions.
?Your current monthly debt obligations (credit cards, car loans, student loans, etc.).
?The amount you plan to pay upfront when purchasing the home.
?The annual interest rate on your mortgage loan.
?The length of your mortgage in years. Common terms are 15 or 30 years.
?Your maximum debt-to-income ratio threshold. Lenders typically prefer DTI below 43%.
?Your credit score ranges from 300 to 850. Higher scores qualify for better rates.
End of inputs

How Much House You Can Afford

Max Home Price
$325,784.68

3.4× annual income

Max Loan Amount
$265,784.68

With $60,000.00 down

Monthly Payment
$2,217.07

Housing only

Front-End DTI
28.01%

28% limit

Back-End DTI
33.06%

36.00% limit

Total Monthly
$2,617.07

Housing + debts

Budget Range
Conservative (80%)
$260,627.74
Aggressive (100%)
$325,784.68
Monthly Payment Breakdown
Key Insights
Your credit score of 720 is solid — you'll qualify for competitive rates. Pushing above 760 could unlock another 0.125%–0.25% rate reduction, marginally improving borrowing power.
Your back-end DTI of 33.06% leaves about 2.94% of headroom below your 36.00% target — a reasonable buffer for property tax hikes or emergencies.
Your down payment of $60,000.00 is 18.42% of the max price — under 20%, so PMI of $121.82/mo (estimated) will apply until you reach 80% LTV. Consider saving more to avoid it.
Your max home price of $325,784.68 is 3.4× your annual income — right in the recommended 3–4× range. This is a sustainable affordability zone.
Your existing monthly debts of $400.00 are 5.05% of your monthly income — manageable, but every dollar of debt service reduces your mortgage budget dollar-for-dollar.
Your assumed rate of 6.50% is in a typical range for current market conditions. Rates in this band keep your max price predictable — small fluctuations have a modest impact.

DTI analysis: Housing is 28.01% of income; total debt is 33.06%. PMI of $121.82/mo applies (down payment < 20%). Price-to-income: 3.4×.
Guide

How to Use This Calculator

  1. 1Enter your gross annual income (before taxes) — include co-borrower income if applying jointly.
  2. 2Add your existing monthly debt payments: car loans, student loans, credit card minimums, personal loans, child support, etc.
  3. 3Enter the cash you have available for a down payment (don't include closing cost reserves here).
  4. 4Set the interest rate you expect — check current mortgage rates or use a recent lender quote.
  5. 5Choose the loan term (15, 20, or 30 years). Longer terms mean lower payments and higher max price, but more total interest.
  6. 6Adjust the target DTI if you want a more conservative limit (e.g. 30% instead of 36%).
  7. 7Enter your credit score — it doesn't change the math, but it powers personalized AI insights about your loan options.
  8. 8Review the max home price, monthly payment breakdown, DTI analysis, and budget range (conservative to aggressive).
Formula

How It's Calculated

Affordability is calculated by inverting the mortgage amortization formula under the 28/36 DTI constraints.

Step 1 — Determine the maximum monthly housing payment:
  Front-end limit (28% rule):  maxHousing = monthlyIncome × 0.28
  Back-end limit (36% rule):   maxHousing = monthlyIncome × targetDti − monthlyDebt
  Binding constraint:          maxHousing = min(frontEndLimit, backEndLimit)

Step 2 — Subtract non-P&I housing costs to get the P&I budget:
  maxPI = maxHousing − propertyTax − insurance − HOA − PMI

Step 3 — Invert the amortization formula to solve for principal:
  Standard payment formula:  M = P × [r(1+r)^n] / [(1+r)^n − 1]
  Inverted:                  P = M × [(1+r)^n − 1] / [r(1+r)^n]
  For zero-rate loans:       P = M × n

Step 4 — Add the down payment to get the max home price:
  maxHomePrice = maxLoanAmount + downPayment

PMI note: When down payment < 20%, PMI is required. PMI depends on LTV,
which depends on loan amount — a circular dependency resolved by
fixed-point iteration (assume no PMI → recompute with PMI → repeat).

Budget range:
  Conservative (80% of max):  leaves headroom for rate increases or surprises
  Aggressive (100% of max):   at the DTI limit, no margin for error

Example: $95,000 income, $400/mo debt, $60,000 down, 6.5%, 30y, 36% DTI.
- Monthly income:  $7,916.67
- 28% limit:       $2,216.67
- 36% limit:       $2,050.00  (binds first because of debt)
- Max P&I:         ~$1,900
- Max loan:        ~$300,000
- Max home price:  ~$360,000
Glossary

Key Terms

FAQ

Frequently Asked Questions

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