Loans & Debt Payoff

How to Calculate a Loan Payment

Fixed installment loans use principal, a periodic interest rate and a number of payments to calculate a level payment.

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Quick answer

Fixed installment loans use principal, a periodic interest rate and a number of payments to calculate a level payment.

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. Use the amount financed.
  2. Convert the annual rate to a monthly decimal rate.
  3. Convert the term to total monthly payments.
  4. Apply the formula and compare total payments with principal.

Worked example

A $25,000 loan at 8% for five years has a payment of about $506.91 and roughly $5,414.59 of total scheduled interest.

How to interpret the result

Longer terms usually lower the 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 purchase price instead of amount financed.
  • Ignoring fees.
  • Choosing a term only because the payment is lower.

Frequently asked questions

Is APR always the same as the nominal rate?

No; APR can include certain finance charges.

Can variable-rate loans use this exact formula?

This page assumes a fixed rate and level payment.

Do extra payments matter?

Yes, when applied to principal they can shorten payoff time.

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