Mortgage Calculator

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Formula
M = P × [r(1+r)^n] / [(1+r)^n – 1]

P = loan amount (home price minus down payment), r = monthly rate, n = months. Property tax and insurance are added to the monthly payment.

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TL;DR

Subtract your down payment from the home price to get the loan amount, then apply the amortization formula. Taxes and insurance are added on top.

Enter the home price, down payment, interest rate, and loan term to see your monthly mortgage payment and total cost over the life of the loan. Property tax and insurance are added on top of principal and interest. Uses the standard amortization formula banks use.

A mortgage calculator tells you what your monthly house payment will be before you sign anything. It uses your home price, down payment, interest rate, and loan term to give you a clear number.

You came here because

Common situations

  • Home budget planning: Know your monthly payment before making an offer so you stay within budget.
  • Comparing loan terms: Run 15 vs. 30 years side by side and see the difference in monthly payment and total interest paid.
  • Refinancing decision: Enter your new rate and remaining balance to see if refinancing saves money.
  • Down payment planning: Adjust the down payment to see how it changes your payment and LTV.

Under the hood

How the calculation works

  1. 1Enter the home price and your down payment. The loan amount is the difference.
  2. 2Enter the annual interest rate your lender is offering.
  3. 3Enter the loan term (usually 15 or 30 years).
  4. 4Add annual property tax and home insurance for a full PITI payment.
  5. 5The calculator applies the amortization formula to your loan amount.

Show me

A real example

Example: $400,000 home, $80,000 down, 7%, 30 years

  1. 1Loan amount P = $400,000 – $80,000 = $320,000
  2. 2Monthly rate r = 7% ÷ 12 = 0.5833%
  3. 3Payments n = 30 × 12 = 360
  4. 4P&I = $320,000 × 0.006653 / 0.999... ≈ $2,129/month
  5. 5Add $350/month tax + $100/month insurance = $2,579 total
Result: $2,579/month total (PITI), $446,440 total interest

Watch out for

What can go wrong

  • Forgetting to add property tax and insurance: The principal-and-interest payment is only part of what you owe monthly. Property tax, homeowner's insurance, and PMI (if your down payment is under 20%) all add to the actual payment.
  • Using the listed rate instead of the APR: The quoted interest rate does not include lender fees. The APR does. For comparison shopping, use the APR. For the monthly payment formula, use the interest rate.
  • Ignoring how extra payments work: An extra $100/month on principal can cut years off a 30-year mortgage. Run the loan calculator with a higher payment amount to see the impact before committing.
  • Comparing different loan terms by monthly payment alone: A 30-year mortgage has a lower monthly payment than a 15-year, but you pay far more interest in total. Compare total repayment costs, not just the monthly figure.

Glossary

Related concepts

TermDefinition
LTV (Loan-to-Value)Your loan amount divided by the home value. LTV above 80% often requires PMI.
PMIPrivate Mortgage Insurance. Required when your down payment is less than 20%. It protects the lender, not you.
PITIPrincipal, Interest, Taxes, and Insurance: the four parts of a full monthly mortgage payment.
AmortizationSpreading loan payments over time so each payment covers interest first, then reduces principal.
EscrowAn account the lender manages where your property tax and insurance payments are held until due.

Make it better

Pro tips

  • Try 15 vs 30 years side by side: Run the calculator twice: once with a 15-year term, once with 30. The monthly payment difference is often smaller than expected, but the interest saved over the life of the loan is significant.
  • Stress-test with a higher rate: If your rate is variable or you are shopping before locking, run the calculator with a rate 1-2 percentage points higher. This shows your payment if rates rise and helps you size the risk.
  • Reverse-engineer from a target payment: If you know what monthly payment you can afford, work backward: start with a loan amount, run the calculator, and adjust the amount until the payment hits your budget.
  • Account for PMI removal: If your down payment is under 20%, you typically pay PMI until you reach 20% equity. Track your balance over time and request PMI removal as soon as you are eligible.

Common questions

Frequently asked questions

For related calculations, try the Loan Calculator, Compound Interest, or ROI Calculator. Browse all Calculator Online calculators for the full catalog.

Methodology

This calculator uses the standard mortgage calculator formula. Results match those from established financial, scientific, and health references.

Reviewed by

Calculator Online Editorial Team. All formulas verified against authoritative sources before publication.

Last updated

2026-01-15