Question

Muhammad deposited $800 at the beginning of each quarter for 8 years into an IRA. Given an interest rate of 8% compounded quarterly, find the future value

Answer 1

$18,775

Step-by-step explanation:

We can calculate the future value of the investment by using the following formula:

Future Value = P * [1 - (1+i)^-n] / i

Here,

P is the periodic payments of $800

n is the number of periodic payments made which is 4 in a year and 32 in 8 years. So n = 32 number of payments.

r is the annual interest rate which is 8%

i is interest earned after on periodic periodic is:

i = Annual interest rate / Number of periodic payments in a year = 8% / 4

= 2%

By putting this value in the equation, we have:

Future Value = $800 * [1- (1 + 2%)^-32] / 2%

Future Value = $18,775