FinanceUnited States versionFormula-based · Runs in your browser

Monthly Payment from a Fixed Loan Amount

Find the regular monthly payment when the principal, fixed annual rate and repayment term are known.

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Inputs

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Result

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Calculated locally
Monthly payment
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Total scheduled payments
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Total interest
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Monthly periods
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Calculation steps

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    M = P × r / [1 − (1 + r)^(−n)]; for r = 0, M = P / n.

    This fixed-rate illustration excludes fees, variable rates, daily-interest conventions and irregular payment dates. A lender’s actual schedule can differ.

  2. 2

    Values entered

    Your values are placed into the calculation.

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  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

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What this tool answers

This tool answers one question: how much is the scheduled monthly payment for a known loan amount, interest rate and fixed term? It does not solve for a payoff date from a payment you choose.

Formula

M = P × r / [1 − (1 + r)^(−n)]; for r = 0, M = P / n.

Worked example: A zero-interest purchase

A $7,200 balance repaid over three years at 0% has 36 monthly payments. The scheduled payment is $7,200 / 36 = $200, with no interest in this example.

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Limitations

This fixed-rate illustration excludes fees, variable rates, daily-interest conventions and irregular payment dates. A lender’s actual schedule can differ.

Frequently asked questions

Which three facts determine this scheduled payment?

The starting principal, fixed interest rate and number of monthly payments determine this model.

Does a zero-percent loan require a special formula?

Yes. Divide principal by the payment count instead of using the interest-bearing expression.

Can this page infer a term from my chosen payment?

No. Use the repayment tool for a payoff-time estimate from a chosen payment.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • This fixed-rate illustration excludes fees, variable rates, daily-interest conventions and irregular payment dates. A lender’s actual schedule can differ.
  • Estimates use the rates, timing, and assumptions entered. Fees, taxes, lender rules, and future changes are included only where explicitly shown.
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