Effective Rates

The Effective Rates calculation is used to find the effective annual interest rate for a given nominal rate compounded m times per year.

The effective annual interest rate is the rate which, if compounded annually, will yield the same amount of interest per year.

You can use this calculation to compare rates with different compounding frequencies.

Note: When using continuous compounding the effective periodic rate result displays a question mark, as in that case the periodic rate can't be calculated.

Input

• nominal annual rate
• compounding frequency

Results

• effective annual rate
• effective periodic rate

Example

Bank A offers 14.75 % compounded semiannually.
Bank B offers 14.50 % compounded monthly.
Which rate gives you the best return on your investment?

Input Nominal annual rate: 14.75 %
  Interest is compounded: semianually
Result Effective annual rate: 15.2939 %
     
Input Nominal annual rate: 14.50 %
  Interest is compounded: monthly
Result Effective annual rate: 15.5035 %

Answer: bank B offers an effective annual rate of 15.5035 % which is higher than that of bank A (15.2939 %).

 

Related topics

Nominal annual rate
Compound interest
Equivalent Rates
Periodic to Annual Rates