FinanceFormula-based · Runs in your browser

Nominal Interest Rate Calculator

Convert an effective annual interest rate to an equivalent nominal annual rate for a selected compounding frequency.

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Inputs

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Result

Updates as valid inputs change.

Calculated locally
Nominal annual rate
Periodic rate
Recomputed effective annual rate

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Calculation steps

Follow what happened from the selected formula to the displayed answer.

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    nominal rate j = m[(1+EAR)^(1/m) − 1]

  2. 2

    Values entered

    Your values are placed into the calculation.

    Enter values to see what is used in this step.

  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

    Displayed values are rounded and formatted using each output’s configured precision.

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What this calculator does

Convert an effective annual interest rate to an equivalent nominal annual rate for a selected compounding frequency.

How it works

The calculator evaluates nominal rate j = m[(1+EAR)^(1/m) − 1]. Inputs are checked before calculation, and invalid values such as zero denominators or out-of-range selections produce a clear error instead of a misleading result.

Input query strings and outputs

Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.

Input query strings

2
  • ?effectiveAnnualRate= Effective annual rate

    Percentage · Required · Default: 6.1678

  • ?compoundsPerYear= Compounds per year

    Number · Required · Default: 12

Outputs

3
  • nominalAnnualRate Nominal annual rate

    Percentage · Primary output

  • periodicRate Periodic rate

    Percentage

  • effectiveCheck Recomputed effective annual rate

    Percentage

Inputs and results

The inputs are Effective annual rate, Compounds per year. Results include Nominal annual rate, Periodic rate, Recomputed effective annual rate.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • Estimates use the rates, timing, and assumptions entered. Fees, taxes, lender rules, and future changes are included only where explicitly shown.