Question

Lucy and Fred want to begin saving for their baby's college education. They estimate that they will need $120,000 in eighteen years. If they are able to earn 5% per annum (compounded annually), how much must be deposited at the end of each of the next eighteen years to fund the education? (The future value of a single sum for 18 periods at 5% is 2.40662; The future value of an ordinary annuity of 1 for 18 periods at 5% is 28.13238).

Answer 1

$4,265.55

Step-by-step explanation:

Future value = $120,000

Interest rate (i) = 5%

Annual deposit = ?

Time period (n) = 18 year

Since deposit are to be made at the beginning of each year, hence the relevant factor table to be used is future value annuity due factor table.

Future value = Annual deposit x future value annuity due factor (i%, n)

120,000 = Annual deposit x FVADF (5%, 18period)

120,000 = Annual deposit x 28.13238

Annual deposit = 120,000/28.13238

=$4,265.547

=$4,265.55