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NumLuma› Money›Mortgage Payment
Money · calculator Loan, Interest & Savings Calculators ↗

Mortgage Payment Calculator

Estimate monthly principal-and-interest payment for a fixed-rate mortgage from home price, down payment, interest rate and term.

FreeNo sign-upInstant resultFormula shownInputs stay in your browser
Interactive calculatorEnter your values
Recalculates as you type
Monthly principal & interest Live result
Enter your values
Calculation breakdown
How to read this result

Use the result to compare scenarios and verify the inputs, units and real-world conditions before making an important decision.

More actions
Useful next calculationLoan Payment
How to use it

A clear result in a few inputs.

  1. Enter the requested values.Use consistent units and the real values for your scenario.
  2. Read the main result and breakdown.NumLuma recalculates immediately when an input changes.
  3. Check the formula and assumptions.Use the supporting context before making a real-world decision.

What this calculator does

This calculator isolates the principal-and-interest portion of a fixed-rate mortgage payment. It first subtracts the down payment from the home price to find the loan amount, then applies the standard amortizing-loan formula across the selected term.

What to know before you use the result

  • Monthly result includes principal and interest only.
  • Property taxes, homeowners insurance, HOA fees, mortgage insurance and closing costs are excluded.
  • The rate is treated as a fixed nominal annual rate divided into monthly periods.

Common mistakes to avoid

  • Comparing the principal-and-interest result with an all-in monthly housing payment.
  • Entering an interest rate from a different loan structure as though it were fixed for the full term.
  • Ignoring fees when comparing lender quotes.
NLNumLuma standard

Built to be understandable before it is impressive.

  • Formula shown clearly
  • No sign-up required
  • Mobile-first controls
  • Inputs processed locally
  • Plain-language result breakdown
Read our methodology →
Decision depth

Change one lever. See what moves.

These are reusable starting points, not recommendations. Open a scenario, then change the inputs to match your own case.

01 / SCENARIO

Lower-rate case

Keep the $350k home and $70k down payment, but test a 5.5% rate.

Open scenario ↗02 / SCENARIO

Baseline case

A $350k home with $70k down at 6.5% for 30 years.

Open scenario ↗03 / SCENARIO

Extra-payment case

Add $250 per month and compare time and interest saved.

Open scenario ↗
Reference standards

Sources used for context.

These links support the measurement standard or scope around this calculation. NumLuma still shows its own formula so the math remains inspectable.

How do mortgage lenders calculate monthly payments?Consumer Financial Protection Bureau

Reference context for fixed-rate principal-and-interest payment calculations and their scope.

External reference ↗
Principal and interest payment vs. total monthly mortgage paymentConsumer Financial Protection Bureau

Reference context for costs that can sit outside principal and interest.

External reference ↗
Formula reference

Mortgage Payment Formula

Payment = P × r(1+r)^n ÷ ((1+r)^n − 1), where P is loan amount and r is monthly rate.

Understand the fixed-rate mortgage principal-and-interest payment formula and the variables behind the monthly payment.

Understand the formula →
Assumptions & scope

Know what the number includes.

Principal-and-interest estimate only; taxes, insurance, HOA, PMI and lender fees are excluded.

How NumLuma checks calculators →
Part of a curated toolkit

Loan, Interest & Savings Calculators

Best for payment comparisons, savings scenarios and understanding interest.

Explore the toolkit →
Decision answers

Questions connected to this calculator.

Use a worked question when you want context before changing the inputs yourself.

How much house can I afford?↗
Quick answers

About the mortgage payment calculation.

What is included in the monthly payment shown?

Principal and interest only. Other housing costs can materially increase the amount paid each month.

How does the down payment affect the result?

A larger down payment reduces the loan principal, which reduces principal-and-interest payment when rate and term stay the same.

Does this calculate APR?

No. It uses the interest rate you enter and does not add lender fees to create an APR.

Is this a mortgage quote?

No. It is a mathematical estimate. Actual lender payments and qualification depend on loan terms, fees, insurance, taxes and underwriting.