The four people below have the following investments. Invested Amount Interest Rate Compounding Jerry $ 11,400 12 % Quarterly Elaine 14,400 6 Semiannually George 21,400 8 Annually Kramer 17,400 10 Annually Required: 1-a. Calculate the future value at the end of five years

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

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