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Home Mortgage Calculator

%
years

Result

Calculated result Ready Change any value to calculate instantly.
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Home Mortgage Calculator — free online calculator.

Formula

M = P × r(1+r)^n ÷ ((1+r)^n − 1)
  • Home mortgage calculator. This page explains the standard mathematical relationship used for the estimate and includes a worked example; it is educational, not individualized financial advice.
  • The main inputs are Home price, Down payment, Annual interest rate, Loan term. Enter them in the units and format shown in the calculator.
  • Use monetary amounts, rates and time periods exactly as labeled; the result reflects the assumptions entered on this page.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Home Mortgage

Inputs
  • Home price: 300000
  • Down payment: 60000
  • Annual interest rate: 6 %
  • Loan term: 30 years

For P=300,000, monthly r=0.5%, n=360, principal-and-interest payment ≈ 1,798.65.

Sample result: Calculating…

Frequently asked questions

What does the Home Mortgage calculate?

This is the standard fixed-rate principal-and-interest payment formula.

Which values should I enter?

Enter Home price, Down payment, Annual interest rate, Loan term using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: M = P × r(1+r)^n ÷ ((1+r)^n − 1).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 6, 2026