APR Calculator

How to Convert APR to Effective Annual Rate

The nominal APR is the stated annual interest rate. The Effective Annual Rate (EAR) accounts for how often interest is compounded within the year — more frequent compounding means a higher effective rate.

The formula

EAR = (1 + APR ÷ n)ⁿ − 1

Where n = number of compounding periods per year.

Step-by-step

  1. Enter the nominal APR as a percentage.
  2. Select the compounding frequency (monthly is common for credit cards).
  3. The calculator shows the true effective annual rate.

Worked example

18% APR compounded monthly: EAR = (1 + 0.18/12)¹² − 1 = (1.015)¹² − 1 ≈ 19.56%. So a credit card with 18% APR actually charges about 19.56% per year.

Why this matters

Two loans with the same nominal APR but different compounding frequencies have different true costs. Always compare EAR, not just APR, when evaluating loan offers.