Question

Suppose that a young couple has just had their first baby and they wish to ensure that enough money will be available to pay for their child's college education. Currently, college tuition, books, fees, and other costs average $8,000 per year. On average, tuition and other costs have historically increased at a rate of 2% per year. Assuming that college costs continue to increase an average of 2% per year and that all her college savings are invested in an account paying 10% interest, then the amount of money she will need to have available at age 18 to pay for all four years of her undergraduate education is closest to
A. $37.232.13
B. $40,955.35
C. $42.952,46
D. $11.425,97

Answer 1

Answer:

B. $40,955.35

Explanation:

The computation of the amount that need to pay is shown below:

The Amount needed at 18 age is

= Present value of all future expenses

= $8000 × (1.02)^18 + $8,000 × (1.02)^19 ÷ 1.1 +$ 8000 × (1.02)^20 ÷ (1.1)^2 + $8,000 × (1.02)^21 ÷ (1.1)^3

= $11,425.6 + 10,594.98 + 9,824.44 + 9,109.39

= $40,954.95

It is nearest to option B