Question

Problem 4-3 One Year Future Value (LG4-2) What is the future value of $725 deposited for one year earning an 8 percent intere
Compute the present value of an $1,450 payment made in ten years when the discount rate is 12 percent. (Do not round intermed
What is the value in year 4 of a $2,200 cash flow made in year 7 if interest rates are 8 percent? (Do not round intermediate
How long will it take $2,000 to reach $6,200 when it grows at 10 percent per year? (Do not round Intermediate calculations. R
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Answer #1

1)

Future value = Present value (1 + r)n

Future value = 725 (1 + 0.08)1

Future value = 725 * 1.08

Future value = $783

2)

Present value = Future value / (1 + r)n

Present value = 1450 / (1 + 0.12)10

Present value = 1450 / 3.105848

Present value = $466.86

3)

Value at year 4 = 2200 / (1 + 0.08)3

Value at year 4 = 2200 / 1.259712

Value at year 4 = $1,746.43

4)

Future value = Present value (1 + r)n

6200 = 2000 (1 + 0.1)n

3.1 = (1 + 0.1)n

LN 3.1 = n LN 1.1

1.131402 = n 0.09531

n = 11.87

11 years and 9 months

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