Convert a nominal annual rate and compounding frequency into APY.
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This calculator applies the displayed finance formula directly to your inputs. It keeps full precision during the calculation and rounds only the displayed result.
APY formulaAPY = (1 + rate ÷ periods)ᵖᵉʳⁱᵒᵈˢ − 1
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Using the default example values, the calculator substitutes 5 and 12 into the formula. Change the values to model your own scenario.
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Nominal annual rate
Compounds per year
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4%
12
4.074%
5%
12
5.116%
6%
12
6.168%
Hypothèses, interprétation ak erreurs cwallarantes
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The values entered for nominal annual rate and compounds per year are accurate for the scenario.
Rates and recurring amounts remain constant for the period represented by the formula.
Provider fees, taxes and timing differences are excluded unless they are explicit inputs.
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Treat the main number as a planning estimate, not a quote, approval or guarantee.
Compare at least a baseline, lower and higher assumption before deciding.
Use the result together with the related finance calculators for a broader view.
Erreurs cwallarantes à éviter
Entering a percentage as a decimal when the field expects a whole percent.
Comparing results that use different time periods or omit different fees.
Rounding inputs early or treating an estimated rate as guaranteed.