Question

Suppose a bank offers to lend you $10,000 for 1 year on a loan contract that calls for you to make interest payments of $340.00 at the end of each quarter and then pay off the principal amount at the end of the year. what is the effective annual rate on the loan?

Answer 1

Answer:

13,6%

Explanation:

The first step to calculate the annual interest rate is to calculate the total yearly interest amount you will pay.

So, you'll pay $340 each quarter and, of course, there are 4 quarters in a year,... so a total of $1,360 (4 x $340) for the year.

Then you need to calculate the ratio of that interest amount compared to the loan amount in order to get the yearly interest

$\frac{1,360}{10,000}  = 0,136$

The effective annual rate on the load is then of 13,6%.