Question

Unfortunately, Angie doesn't have enough money in her account right now. She needs to make additional contributions at the end of each of the next three years to be able to pay for the repairs. Her account currently has $5,000, which, along with her additional contributions, is expected to continue earning 9% annual interest. If she makes equal contributions each year, how large must each contribution be for Angie to have $9,000 after three years

Answer 1

Answer: $770.22

Explanation:

If she makes equal contributions then those would be annuities. The $9,000 she wants to have will be the future value of the amount currently in her account and the annuity.

9,000 = 5,000 ( 1 + r) ^ n + ( annuity * future value interest factor of an annuity, 9%,  3 years)

9,000 = 5,000 ( 1 + 9%) ^ 3 + ( Annuity * 3.2781)

9,000 = 6,475.145‬ + 3.2781 * Annuity

Annuity  = (9,000 - 6,475.145‬) / 3.2781

Annuity = $770.22