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Home Book Store Instructors Independent Authors About An entrepreneur invests $6

ID: 2821932 • Letter: H

Question

Home Book Store Instructors Independent Authors About An entrepreneur invests $61,036.00 into a start-up business today. He expects the business wil generate $64,106.00 per year for 14.00 years, and then it will generate $130,738.00 per year for the following 16.00 years. Suppose he wants a 9.00% annual return to run the business. What i the value of this business today if his forecasts are accurate? (HINT: Discount all cash flows to today and subtract start-up investment.) Answer Format: Currency: Round to: 2 decimal places. Enter Answer Here... Submit Answer Prev Problem

Explanation / Answer


NPV = Value of Business today = $763,314.21

Discount rate = R =

9.00%

Present Values (PV)

Year

Cash flows

Discount factor or PV factors = Df = 1/(1+R)^Year

PV of cash flows = Cash flows x Df

0

-$61,036.00

1.000000

-$61,036.00

1

$64,106.00

0.917431

$58,812.84

2

$64,106.00

0.841680

$53,956.74

3

$64,106.00

0.772183

$49,501.59

4

$64,106.00

0.708425

$45,414.31

5

$64,106.00

0.649931

$41,664.50

6

$64,106.00

0.596267

$38,224.31

7

$64,106.00

0.547034

$35,068.18

8

$64,106.00

0.501866

$32,172.64

9

$64,106.00

0.460428

$29,516.18

10

$64,106.00

0.422411

$27,079.07

11

$64,106.00

0.387533

$24,843.18

12

$64,106.00

0.355535

$22,791.91

13

$64,106.00

0.326179

$20,910.01

14

$64,106.00

0.299246

$19,183.49

15

$130,738.00

0.274538

$35,892.55

16

$130,738.00

0.251870

$32,928.95

17

$130,738.00

0.231073

$30,210.04

18

$130,738.00

0.211994

$27,715.64

19

$130,738.00

0.194490

$25,427.19

20

$130,738.00

0.178431

$23,327.70

21

$130,738.00

0.163698

$21,401.56

22

$130,738.00

0.150182

$19,634.46

23

$130,738.00

0.137781

$18,013.26

24

$130,738.00

0.126405

$16,525.93

25

$130,738.00

0.115968

$15,161.40

26

$130,738.00

0.106393

$13,909.54

27

$130,738.00

0.097608

$12,761.05

28

$130,738.00

0.089548

$11,707.38

29

$130,738.00

0.082155

$10,740.72

30

$130,738.00

0.075371

$9,853.87

Total of PV = NPV =

$763,314.21

Discount rate = R =

9.00%

Present Values (PV)

Year

Cash flows

Discount factor or PV factors = Df = 1/(1+R)^Year

PV of cash flows = Cash flows x Df

0

-$61,036.00

1.000000

-$61,036.00

1

$64,106.00

0.917431

$58,812.84

2

$64,106.00

0.841680

$53,956.74

3

$64,106.00

0.772183

$49,501.59

4

$64,106.00

0.708425

$45,414.31

5

$64,106.00

0.649931

$41,664.50

6

$64,106.00

0.596267

$38,224.31

7

$64,106.00

0.547034

$35,068.18

8

$64,106.00

0.501866

$32,172.64

9

$64,106.00

0.460428

$29,516.18

10

$64,106.00

0.422411

$27,079.07

11

$64,106.00

0.387533

$24,843.18

12

$64,106.00

0.355535

$22,791.91

13

$64,106.00

0.326179

$20,910.01

14

$64,106.00

0.299246

$19,183.49

15

$130,738.00

0.274538

$35,892.55

16

$130,738.00

0.251870

$32,928.95

17

$130,738.00

0.231073

$30,210.04

18

$130,738.00

0.211994

$27,715.64

19

$130,738.00

0.194490

$25,427.19

20

$130,738.00

0.178431

$23,327.70

21

$130,738.00

0.163698

$21,401.56

22

$130,738.00

0.150182

$19,634.46

23

$130,738.00

0.137781

$18,013.26

24

$130,738.00

0.126405

$16,525.93

25

$130,738.00

0.115968

$15,161.40

26

$130,738.00

0.106393

$13,909.54

27

$130,738.00

0.097608

$12,761.05

28

$130,738.00

0.089548

$11,707.38

29

$130,738.00

0.082155

$10,740.72

30

$130,738.00

0.075371

$9,853.87

Total of PV = NPV =

$763,314.21

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