Question

Franklin Templeton has just invested $8,860 for his son (age one). This money will be used for his son’s education 18 years from now. He calculates that he will need $57,908 by the time the boy goes to school. What rate of return will Mr. Templeton need in order to achieve this goal? Use Appendix B for an approximate answer, but calculate your final answer using the formula and financial calculator methods. (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Answer 1

Answer:

Future value (FV) = $57,908

Present value (PV) = $8,860

Number of years (n) = 18 years

Interest rate = ?

FV = PV(1 + r)n

$57,908 = $8,860(1 + r)18

$57,908 = $8,860(1 + r)18

$57,908 = (1 + r)18

$8,860

6.535891648 = (1 + r)18

18√6.535891648 = 1 + r  

1.10993 - 1 = r

r = 0.10992 = 10.99%

Explanation:

In this case, we will apply the future value of a lump sum (single investment) formula. The present value, future value and number of years are given with the exception of interest rate. Thus, interest rate is made the subject of the formula.