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Finance / Free online tool

APR to APY Calculator

Convert a nominal annual interest rate into an effective annual yield.

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5% nominal APR compounded monthly gives about 5.1162% APY.

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Behind the answer

APY = ((1 + APR/m)^m − 1) × 100

How to use this calculator

Convert a nominal annual rate to effective annual yield or reverse the conversion. Choose a discrete compounding frequency or continuous compounding. Input rates are percentages.

  1. Enter rate conversion, input annual rate (%), compounding periods per year and review the remaining options.
  2. Select Calculate or change a value to update the result. Read the result label and units before copying.
  3. Use Reset to restore the worked starting values.

Formula and method

APY = ((1 + APR/m)^m − 1) × 100

Nominal APR here excludes fees. Regulatory APR and local yield disclosures may use additional assumptions.

Worked example

5% compounded monthly gives approximately 5.1162% APY.

Questions about apr to apy calculator

Does this use the APR shown on every loan offer?

No. Enter a nominal annual rate without fees. The calculation adds the effect of within-year compounding; regulatory APR may also include charges and follow local disclosure rules. Compare actual lender terms separately.

What assumptions should I check?

Nominal APR here excludes fees. Regulatory APR and local yield disclosures may use additional assumptions.

Are my inputs saved?

Calculations run in your browser. We store only tool IDs for favorites and recent tools. Sharing inputs in links is disabled for this category.

Financial tools model the assumptions shown above and do not predict actual returns or replace lender disclosures or professional advice. Amounts are currency-neutral: use the same currency for every amount. No exchange rate is applied.