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Finance·1 min read·

APR to APY

Turn a nominal APR into the annual percentage yield from how many times a year that rate compounds.

The answer

APY = (1 + APR ÷ compounds per year) raised to the number of compounds, minus 1. A 5% APR compounded monthly is a 5.12% APY.

12 is monthly. 365 is daily.

Result

5.12%

APY

How this works

Divide the APR by 100 and by the number of compounds in a year. Add 1, raise that to the number of compounds, and subtract 1. Multiply by 100 to read it as a percent. Monthly compounding uses 12. A 5% APR compounded monthly is 5.12% APY.

Once-a-year compounding makes the APY equal the APR. This conversion does not add fees. An APR that already folds in fees is a different quote from a nominal rate, and this page treats the number you type as the nominal rate.

Examples

  • 5% APR, compounded monthly

    The APY is 5.12%.

Common mistakes

  • ×

    Comparing a monthly-compounded APY with an APR and expecting the same percent.

  • ×

    Entering 12 when the account compounds daily. Daily is 365 on this page.

Frequently asked questions

What does compounds per year mean?

How often the rate is applied. 12 is monthly, 4 is quarterly, and 1 is once a year.

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