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ID: 1171631 • Letter: #

Question

? | Click here to read the eBook: Future Values Click here to read the eBook: Present Values PRESENT AND FUTURE VALUES OF A CASH FLOW STREAM An investment will pay $100 at the end of each of the next 3 years, $200 a. If other investments of equal risk earn 11% annually, what is its present value? Round your answer to the nearest cent. : 0 at the end of Year 4, $400 at the end of Year 5, and $550 at the end of Year 6 b. If other in nts of equal risk earn 11% annually, what is its future value? Round your answer to the nearest cent. Check My Wor aa fa Fs 7 9 2 3

Explanation / Answer

Requirement (a) Present Value of the Investment = $907.55

Year

Cash Flow

Present Value Factor

Present Value of cash flows

1

100

0.9009

90.09

2

100

0.81162

81.16

3

100

0.73119

73.12

4

200

0.65873

131.75

5

400

0.59345

237.38

6

550

0.53464

294.05

Total Present Value of cash flows

$907.55

Requirement (b) Future Value of the Investment = $1,697.50

Year

Cash Flow

Future Value of this cash flow

Future Value

1

100

168.51

[ 100*1.11*1.11*1.11*1.11*1.11]

168.51

2

100

151.81

[100*1.11*1.11*1.11*1.11]

320.32

3

100

136.76

[100*1.11*1.11*1.11]

457.08

4

200

246.42

[200*1.11*1.11]

703.50

5

400

444.00

[400*1.11]

1,147.50

6

550

550.00

[550*1]

1,697.50

Future Value of cash flow

$1,697.50

Year

Cash Flow

Present Value Factor

Present Value of cash flows

1

100

0.9009

90.09

2

100

0.81162

81.16

3

100

0.73119

73.12

4

200

0.65873

131.75

5

400

0.59345

237.38

6

550

0.53464

294.05

Total Present Value of cash flows

$907.55

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