Effective Annual Interest Rate
What is the Effective Annual Interest Rate?
How Does the Effective Annual Interest Rate Work?
The formula for effective annual interest rate is:
(1 + i / n)n - 1
i = the stated annual interest rate
For example, let’s assume you buy a certificate of deposit with a 12% stated annual interest rate. If the bank compounds the interest every month (that is, 12 times per year), then using this information and the formula above, the effective annual interest rate on the CD is:
(1 + .12/12)12 - 1 = .12683 or 12.683%
Let’s look at it from another angle. Let’s assume you put $1,000 into the 12% CD. Over 12 months, the investment will look like this:
The percentage change from $1,000 to $1,126.83 is ($1,126.83 - $1,000)/$1,000 = .12683 or 12.683%. Even though the bank has advertised a 12% interest rate, your money actually grew by 12.683%.