Question

Determine the future value of $21,000 under each of the following sets of assumptions (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.) (Round your final answers to nearest whole dollar amount.):
Annual Rate Period Invested Interest Compounded Future Value
(a) 10% 8 years Semiannually $ _____
(b) 12% 4 years Quarterly $ _____
(c) 36% 25 months Monthly $ _____

Answer 1

Answer:

(a) $43,656.90

(b) $33,698.70

(c) $43,967.70

Explanation:

Future Value of annuity shall be:

(a) 10% for 8 years, Semiannually compounded

In this since the interest is compounded semiannually, the effective interest rate = 10/2 = 5%

Future Value of $1 in 8 years with 10% interest compounded semiannually = 2.0789

Value of $21,000 = $21,000 $\times$ 2.0789 = $43,656.90

(b) 12% for 4 years, Quarterly Compounded

In this since the interest is compounded quarterly, that is 4 times in a year, effective interest rate = 12/4 = 3%

Future value of $1 in 4 years with 12% interest compounded quarterly = 1.6047

Value of $21,000 = $21,000 $\times$ 1.6047 = $33,698.70

(c) 36% 25 months, Monthly

In this since the interest is compounded monthly effective interest rate = 36/12 = 3%

Therefore, Future Value of $1 in 25 months @36% compounded monthly = $2.0937

Value of $21,000 = $21,000 $\times$ 2.0937 = $43,967.70