Question

Today, you deposit $2,500 of cash in a savings account that earns 8.0% in annualized interest. One interest payment is received at the end of every year. You make no other deposits or withdrawals.

In five years, the amount of interest on interest you have earned in your savings account is closest to: ________

a. $173
b. $175
c. $177
d. $1,000
e. $1,177

Answer 1

a. $173

Step-by-step explanation:

The computation of the amount of interest earned in five years is shown below;

But before that following calculations need to be done

As we know that

Simple interest = Present value × rate of interest × time period

= $2,500 × 8% × 5

= $1,000

Now the future value is

Future value = Present value × (1 + rate of interest)^number of years

= $2,500 ×(1 + 8%)^5

= $2,500 × 1.4693280768

= $3,673

Now the compound interest is

Compound interest = Future value - Present value

= $3,673 - $2,500

= $1,173

Now interest on interest is

Interest on interest = Compound interest - Simple interest

= $1,173 - $1,000

= $173