What this calculator does
Convert a nominal annual rate with one compounding frequency to an equivalent nominal rate with another frequency.
How it works
The calculator evaluates EAR = (1 + j/m)^m − 1; equivalent j₂ = m₂[(1+EAR)^(1/m₂) − 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
3-
?nominalRate=Source nominal annual ratePercentage · Required · Default: 6
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?sourceCompounds=Source compounds per yearNumber · Required · Default: 12
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?targetCompounds=Target compounds per yearNumber · Required · Default: 4
Outputs
4-
equivalentNominalRateEquivalent target nominal ratePercentage · Primary output
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effectiveAnnualRateEffective annual ratePercentage
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sourcePeriodicRateSource periodic ratePercentage
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targetPeriodicRateTarget periodic ratePercentage
Inputs and results
The inputs are Source nominal annual rate, Source compounds per year, Target compounds per year. Results include Equivalent target nominal rate, Effective annual rate, Source periodic rate, Target periodic rate.