Mortgage Payments & Amortization

How to Calculate a Mortgage Payment

A standard fixed-rate mortgage payment is based on principal, the monthly interest rate and the number of monthly payments.

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Quick answer

A standard fixed-rate mortgage payment is based on principal, the monthly interest rate and the number of monthly payments.

Formula or method

Payment = P × r(1+r)n ÷ ((1+r)n − 1)

Keep units, percentages and time periods consistent. The formula is useful as a transparent check on the calculator result and helps explain why changing one input changes the answer.

Step-by-step

  1. Start with the amount borrowed after the down payment.
  2. Convert the annual interest rate to a monthly decimal rate.
  3. Convert the term in years to total monthly payments.
  4. Apply the fixed-payment formula and round to cents.

Worked example

For a $300,000 mortgage at 6.5% for 30 years, principal and interest are about $1,896.20 per month.

How to interpret the result

Lower rates and smaller balances generally lower the payment. A longer term lowers the scheduled payment but can increase total interest.

When the answer is used for a purchase, loan, payroll decision, construction order, school grade, health estimate or other real-world choice, verify the assumptions that matter in that context. Accurate arithmetic still depends on accurate inputs.

Common mistakes

  • Using the annual rate directly instead of a monthly rate.
  • Treating principal and interest as the full housing payment.
  • Comparing loans by payment alone.

Frequently asked questions

Does the formula include taxes and insurance?

No. The standard amortization formula is for principal and interest.

Why is a 30-year payment lower than a 15-year payment?

The balance is spread across more scheduled payments.

What if the rate is 0%?

Principal is divided by the number of payments.

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