Question

Unfortunately, Diana 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 $3,500, which, along with her additional contributions, is expected to continue earning 6% annual interest. If she makes equal contributions each year, how large must each contribution be for Diana to have $8,000 after three years

Answer 1

Answer: $1,203.49

Explanation:

The equal contributions will be an annuity. The $3,500 already there will also grow at 6% for 3 years. Expression is;

8,000 = ( 3,500 * ( 1 + 6%)^3) + Contribution * Future value interest factor of annuity, 3 years, 6%

8,000 = 4,168.56 + Contribution * 3.1836

Contribution = (8,000 - 4,168.56) / 3.1836

Contribution = $1,203.49