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Calculate the NPV for the following projects: Discount rate = 12% CB: Techniques

ID: 2758278 • Letter: C

Question

Calculate the NPV for the following projects: Discount rate = 12%

CB: Techniques, unequal lives, NPV profile

Period

A

B

C

D

E

F

0

-70000

-78000

-150000

-180000

-235000

-310000

1

30000

22000

48000

80000

50000

90000

2

30000

32000

74000

70000

60000

90000

3

30000

38000

85000

60000

70000

90000

4

30000

46000

60000

80000

90000

5

60000

90000

90000

            

            

NPV

IRR

Rank / NPV

Rank / IRR

ANPV

Replacement Chain

A

B

C

D

E

F

What is the optimal capital budget?

Using NPV and a budget of $700000, what is the size of the optimal capital budget?

Using IRR and a budget of $700000, what is the size of the optimal capital budget?

5) Use the following table to determine the statistics of the project. (project risk)

Probability

NPV Project A

NPV Project B

.35

23,435

38,000

.50

21,120

14,000

.15

9,209

3,000

Project A

Project B

Expected NPV

Standard Deviation

Coefficient of Variation

6) Given projects A and B in the table for problem 1, which project is preferable?

CB: Project analysis

Period

A

B

C

D

E

F

0

-70000

-78000

-150000

-180000

-235000

-310000

1

30000

22000

48000

80000

50000

90000

2

30000

32000

74000

70000

60000

90000

3

30000

38000

85000

60000

70000

90000

4

30000

46000

60000

80000

90000

5

60000

90000

90000

Explanation / Answer

NPV

IRR

Rank / NPV

Rank / IRR

ANPV

Replacement Chain

A

21,120

25.68%

3

2

6,953

48,493

B

23,435

23.96%

2

3

7,715

53,808

C

12,351

16.31%

5

4

5,142

31,853

D

62,116

26.08%

1

1

E

9,209

13.42%

6

6

F

14,430

13.86%

4

5

2)

Optimal capital budget $1,023,000

3)

Optimal capital budget   $478,000

4)

Optimal capital budget? $638,000

5)

Project A

Project B

Expected NPV

20,136

20,750

Standard Deviation

4,712

13,198

Coefficient of Variation

.234

.636

6)Project A

NPV

IRR

Rank / NPV

Rank / IRR

ANPV

Replacement Chain

A

21,120

25.68%

3

2

6,953

48,493

B

23,435

23.96%

2

3

7,715

53,808

C

12,351

16.31%

5

4

5,142

31,853

D

62,116

26.08%

1

1

E

9,209

13.42%

6

6

F

14,430

13.86%

4

5

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