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Effective Annual Rate (EAR) Calculator

Find the effective annual rate of a nominal rate for any compounding frequency, including continuous.

Change the values and press Calculate to work out your own figures.

Enter the nominal rate and compounding.

About apr, %Nominal annual rate.
About compoundingHow often interest is added.
About currencyChanges how amounts are shown, not the math; your choice is remembered on this device.
Result
APY
7.2399%
APR
7% compounded semimonthly

7% compounded semimonthly is an APY of 7.2399%.

Show the working
  1. APY = (1 + r ÷ n)^n − 1

How to use it

Enter the nominal rate and compounding.

Enter amounts without commas or with them; rates are percentages (5 for 5%). Negative amounts are allowed where a sign means money paid out.

Key facts

EAR = (1 + r ÷ n)^n − 1; continuous: e^r − 1

Questions

What is the EAR of 7% compounded continuously?

7.2508%.

Formulas

EAR = (1 + r ÷ n)^n − 1; continuous: e^r − 1

Sources

Limitations

  • Results are estimates for planning, not offers or financial advice; lenders and banks may round, count days or time payments differently.
  • Rates are nominal annual rates compounded as you choose; payments at a different frequency use the equivalent periodic rate.

Formula version 0.1.0Reviewed