Convert a nominal annual rate and compounding frequency into APY.
UNDERSTAND THE ANSWER
How is this calculated?
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
A practical example
Using the default example values, the calculator substitutes 5 and 12 into the formula. Change the values to model your own scenario.
Calculated result
Nominal annual rate
Compounds per year
Calculated answer
4%
12
4.074%
5%
12
5.116%
6%
12
6.168%
Assumptions, interpretation and common mistakes
Calculation assumptions
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.
How to interpret the result
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.
Common mistakes to avoid
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.