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APY Calculator (APR to APY)

Turn a stated yearly rate (APR, nominal rate) into the APY, the effective rate you really earn or pay once compounding is counted, or work back from an APY to the stated rate.

%
Result
–
APY (effective yearly rate)
–
Stated yearly rate (APR)
–

How it is calculated

  • APY = (1 + APR ÷ 100 ÷ n)^n − 1
  • APR = n × ((1 + APY ÷ 100)^(1 ÷ n) − 1)
  • n = number of times interest is added per year

Worked example

5% a year, with interest added monthly.

You enter
I know theStated rate (APR) → find APY
Rate5 %
Interest addedMonthly
You get
Result5.1162%
APY (effective yearly rate)5.1162%
Stated yearly rate (APR)5.0000%

A stated rate of 5% with interest added monthly works out to 5.1162% a year once interest earns interest.

Questions

APR or APY: which should I compare?

Compare APY with APY. Two accounts with the same APR pay different amounts if one adds interest more often; the APY already counts that.

Why can a loan's APR differ from this?

For loans, the legal APR often includes fees as well as interest, and the rules differ by country. This tool converts rates only.

Sources and checks

Last checked: 13 October 2026. This calculator passes 6 automatic tests before every release.

Your numbers never leave your device: the calculation runs in your browser and nothing you type is sent or stored.

Results are estimates for information only and are not financial, tax or legal advice. Check important figures with a qualified professional before you act on them.

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