Answer:
Jerry
$20,589.67
Elaine
$19,352.40
George
$31,443.62
Kramer
$28,022.87
Explanation:
Use following formula to calculate the future value
FV = PV ( 1 + r )^n
Where
PV = Present value = Investment
FV = Future value = ?
r = interest rate per compounding period
n= numbers of compounding periods
Jerry
PV = $11,400
r = 12% x 3/12 = 3%
n = 5 years x 12/4 = 20 periods
Placing values in the formula
FV = $11,400 x ( 1 + 3% )^20
FV = $20,589.67
Elaine
PV = $14,400
r = 6% x 6/12 = 3%
n = 5 years x 12/6 = 10 periods
Placing values in the formula
FV = $14,400 x ( 1 + 3% )^10
FV = $19,352.40
George
PV = $21,400
r = 8%
n = 5 years
Placing values in the formula
FV = $21,400 x ( 1 + 8% )^5
FV = $31,443.62
Kramer
17,400 10 Annually
PV = $17,400
r = 10%
n = 5 years
Placing values in the formula
FV = $17,400 x ( 1 + 10% )^5
FV = $28,022.87
The future values of the investments are computed as follows:
Invested Amount Interest Rate Compounding Future Value
Jerry $ 11,400 12% Quarterly $20,589.67
Elaine 14,400 6% Semiannually $19,352.40
George 21,400 8% Annually $31,443.62
Kramer 17,400 10% Annually $28,022.87
Data and Calculations:
Jerry:
N (# of periods) = 20 (5 x 4)
I/Y (Interest per year) = 12%
PV (Present Value) = $11,400
PMT (Periodic Payment) = 0
Results
Future Value = $20,589.67
Total Interest $9,189.6
Elaine:
N (# of periods) = 10 (5 x 2)
I/Y (Interest per year) = 6%
PV (Present Value) = $14,400
PMT (Periodic Payment) = 0
Results
Future Value = $19,352.40
Total Interest = $4,952.40
George:
N (# of periods) = 5 years
I/Y (Interest per year) = 8%
PV (Present Value) = $21,400
PMT (Periodic Payment) = 0
Results
Future Value = $31,443.62
Total Interest = $10,043.62
Kramer:
N (# of periods) = 5 years
I/Y (Interest per year) = 10%
PV (Present Value) = $17,400
PMT (Periodic Payment) = 0
Results
Future Value = $28,022.87
Total Interest = $10,622.87
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