Unfortunately, Angie doesn't have enough money in her account right now. She needs to make additional contributions at the end o
f 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
1 answer:
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
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