Annual Percentage Yield Calculator

Convert a nominal interest rate and compounding frequency into its effective annual yield (APY).

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Enter a nominal rate and compounding frequency to calculate the effective annual yield (APY).
%

Your result

8.30%

Effective annual yield (APY)

AI explanation

Formula

APY = (1 + nominal rate/n)^n − 1, where n is the number of compounding periods per year

Worked example

8% nominal, compounded monthly

Worked example: 8% nominal, compounded monthly
FieldValue
Nominal annual interest rate8
Compounding frequency12
Effective annual yield (APY)8.3

Assumptions

  • APY is always equal to or greater than the nominal rate, and the gap widens with more frequent compounding.
  • Informational only.

Frequently asked questions

What is the difference between nominal rate and APY?

The nominal rate is the stated annual rate before considering compounding. APY (or effective annual rate) is the actual annual return after accounting for how often interest compounds — it's always equal to or higher than the nominal rate.

Why does more frequent compounding increase APY?

With more frequent compounding, interest is added to the balance more often, so subsequent interest calculations are based on a slightly larger balance sooner — this compounding effect increases the effective annual yield.

Should I compare investment products using nominal rate or APY?

APY gives a fairer comparison between products with different compounding frequencies, since it reflects the actual annual return you'd earn.

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Sources

This calculator provides a general estimate only and does not constitute financial advice.

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