Answer:
$4,531.50
Explanation:
first we must determine the cost of tuition in 18 years (2038):
$12,000 x (1 + 6%)¹⁸ = $34,252 per year
to calculate the total value of college tuition (5 years) in 2038 we can use the annuity due factor (6% and 5 years) 4.4651:
total college tuition = $34,252 x 4.4651 = $152,939
this means that Jill needs to have $152,939 for the moment her son starts college:
we have to calculate the payment:
to calculate the future value of an annuity (since she starts to save at end of the year, it is an ordinary annuity, not annuity due) we use the following formula:
future value = payment x ordinary annuity factor (8% and 17 years)
we know future value ($152,939) and the annuity factor = 33.7502
payment = future value / annuity factor
payment = $152,939 / 33.7502 = $4,531.50
