Fifteen percent 15 when compounded semi annually will have an effective rate of

About Effective Interest Rate Calculator

The Effective Interest Rate Calculator is used to calculate the effective annual interest rate based on the nominal annual interest rate and the number of compounding periods per year.

What is Effective Interest Rate?

The effective interest rate is the interest rate on a loan or financial product restated from the nominal interest rate as an interest rate with annual compound interest payable in arrears. It is used to compare the annual interest between loans with different compounding terms (daily, monthly, quarterly, semi-annually, annually, or other). It is also called effective annual interest rate, annual equivalent rate (AER) or simply effective rate.

What Is The Formula of Calculating Effective Interest Rate?

The effective interest rate is calculated as if compounded annually. The following is the calculation formula for the effective interest rate:

r = [1 + (i/n)]n - 1

Where:
r = effective interest rate
i = nominal annual interest rate
n = number of compounding periods per year (for example, 12 for monthly compounding)

If the compounding is continuous, the calculation will be:

r = ei - 1

Where:
r = effective interest rate
i = nominal annual interest rate
e = 2.71828183

Effective Interest Rate Table

The effective interest rate table below shows the effective annual rate based on the frequency of compounding for the nominal interest rates between 1% and 50%:

Nominal RateSemi-AnnuallyQuarterlyMonthlyDailyContinuous
1% 1.002% 1.004% 1.005% 1.005% 1.005%
2% 2.010% 2.015% 2.018% 2.020% 2.020%
3% 3.022% 3.034% 3.042% 3.045% 3.045%
4% 4.040% 4.060% 4.074% 4.081% 4.081%
5% 5.062% 5.095% 5.116% 5.127% 5.127%
6% 6.090% 6.136% 6.168% 6.183% 6.184%
7% 7.122% 7.186% 7.229% 7.250% 7.251%
8% 8.160% 8.243% 8.300% 8.328% 8.329%
9% 9.202% 9.308% 9.381% 9.416% 9.417%
10% 10.250% 10.381% 10.471% 10.516% 10.517%
11% 11.302% 11.462% 11.572% 11.626% 11.628%
12% 12.360% 12.551% 12.683% 12.747% 12.750%
13% 13.422% 13.648% 13.803% 13.880% 13.883%
14% 14.490% 14.752% 14.934% 15.024% 15.027%
15% 15.562% 15.865% 16.075% 16.180% 16.183%
16% 16.640% 16.986% 17.227% 17.347% 17.351%
17% 17.722% 18.115% 18.389% 18.526% 18.530%
18% 18.810% 19.252% 19.562% 19.716% 19.722%
19% 19.903% 20.397% 20.745% 20.919% 20.925%
20% 21.000% 21.551% 21.939% 22.134% 22.140%
21% 22.103% 22.712% 23.144% 23.360% 23.368%
22% 23.210% 23.882% 24.360% 24.599% 24.608%
23% 24.323% 25.061% 25.586% 25.851% 25.860%
24% 25.440% 26.248% 26.824% 27.115% 27.125%
25% 26.563% 27.443% 28.073% 28.392% 28.403%
26% 27.690% 28.647% 29.333% 29.681% 29.693%
27% 28.822% 29.859% 30.605% 30.983% 30.996%
28% 29.960% 31.080% 31.888% 32.299% 32.313%
29% 31.103% 32.309% 33.183% 33.627% 33.643%
30% 32.250% 33.547% 34.489% 34.969% 34.986%
31% 33.403% 34.794% 35.807% 36.325% 36.343%
32% 34.560% 36.049% 37.137% 37.693% 37.713%
33% 35.723% 37.313% 38.478% 39.076% 39.097%
34% 36.890% 38.586% 39.832% 40.473% 40.495%
35% 38.063% 39.868% 41.198% 41.883% 41.907%
36% 39.240% 41.158% 42.576% 43.308% 43.333%
37% 40.423% 42.458% 43.966% 44.746% 44.773%
38% 41.610% 43.766% 45.369% 46.200% 46.228%
39% 42.803% 45.084% 46.785% 47.667% 47.698%
40% 44.000% 46.410% 48.213% 49.150% 49.182%
41% 45.203% 47.746% 49.653% 50.647% 50.682%
42% 46.410% 49.090% 51.107% 52.159% 52.196%
43% 47.623% 50.444% 52.573% 53.687% 53.726%
44% 48.840% 51.807% 54.053% 55.230% 55.271%
45% 50.063% 53.179% 55.545% 56.788% 56.831%
46% 51.290% 54.561% 57.051% 58.362% 58.407%
47% 52.522% 55.952% 58.571% 59.951% 59.999%
48% 53.760% 57.352% 60.103% 61.556% 61.607%
49% 55.003% 58.762% 61.649% 63.178% 63.232%
50% 56.250% 60.181% 63.209% 64.816% 64.872%

See also:

  • Interest Rate Calculator

  • Nominal Interest Rate Calculator

  • Times Interest Earned Ratio Calculator

  • Effective Yield Calculator

  • Simple Interest Calculator

  • Percent Growth Rate Calculator

  • Interest Coverage Ratio Calculator

  • Credit Card Interest Calculator

  • Compound Interest Calculator

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