APR to APY conversion table

Updated

A 5% APR compounded monthly is a 5.116% APY; a 20% card rate compounded daily works out to 22.13% a year.

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  • Semiannual
  • Quarterly
  • Monthly
  • Daily
APR to APY conversion table
APRSemiannualQuarterlyMonthlyDaily
1%1.002%1.004%1.005%1.005%
2%2.010%2.015%2.018%2.020%
3%3.022%3.034%3.042%3.045%
4%4.040%4.060%4.074%4.081%
5%5.062%5.095%5.116%5.127%
6%6.090%6.136%6.168%6.183%
7%7.122%7.186%7.229%7.250%
8%8.160%8.243%8.300%8.328%
10%10.250%10.381%10.471%10.516%
12%12.360%12.551%12.683%12.747%
15%15.562%15.865%16.075%16.180%
18%18.810%19.252%19.562%19.716%
20%21.000%21.551%21.939%22.134%
25%26.563%27.443%28.073%28.392%
30%32.250%33.547%34.489%34.969%
Need a value that is not in the table? Open the calculator : Effective Annual Rate →

How it is computed

APY = (1 + APR ÷ n)^n − 1, with n the number of compounding periods per year (2, 4, 12 or 365). With annual compounding, the APY equals the APR.

FAQ

What is the difference between APR and APY?+

The APR is the quoted yearly rate; the APY includes interest earned on interest within the year. Savings products quote the APY, loans often quote the APR.

Does daily compounding make a big difference?+

Compared with monthly, only a few hundredths of a point at usual rates; the gap grows with the rate.