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A firm is considering two projects, they are mutually exclusive. These are their

ID: 2769772 • Letter: A

Question

A firm is considering two projects, they are mutually exclusive. These are their cash flows: The best estimate of revenues for the three years of life of the project is $400,000 for the 1^st year and a growth rate in sales of 5% after that. Variable costs are forecasted at 60% of sales and fixed costs are $105,000. the company's weighted average cost of capital is 9.5%. Please make a decision on whether this project should be undertaken. You need to use only NPV methodology in arriving at this decision.

Explanation / Answer

The company has already paid to financer for viability study hence its a shunk cost and not relevent for decision making.

0

1

2

3

Initial outlay

cost of machine

-125000

shipping and instalation cost

-25000

working capital

-8000

Operating cashflows

Sales

400000

420000

441000

Variables cost (60% of sales)

-240000

-252000

-264600

Fixed cost

-105000

-105000

-105000

Net income

55000

63000

71400

Tax 40%

-22000

-25200

-28560

Net income after tax

33000

37800

42840

Tax saving on depreciation

19800

27000

9000

Net operating cashflows

52800

64800

51840

End of the project cashflows

salavage value

8500

working capital

8000

Total cashflows

-158000

52800

64800

68340

discount factor @9.5%

1

0.913242

0.834011

0.761654

Discounted cashflows

-158000

48219.18

54043.91

52051.42

NPV

-3685.487038

Depreciation MACRS 3 years

0.33

0.45

0.15

Depreciation MACRS 3 years

150000

49500

67500

22500

Tax saving 40%

19800

27000

9000

NPV is negative project should not be accepted.

0

1

2

3

Initial outlay

cost of machine

-125000

shipping and instalation cost

-25000

working capital

-8000

Operating cashflows

Sales

400000

420000

441000

Variables cost (60% of sales)

-240000

-252000

-264600

Fixed cost

-105000

-105000

-105000

Net income

55000

63000

71400

Tax 40%

-22000

-25200

-28560

Net income after tax

33000

37800

42840

Tax saving on depreciation

19800

27000

9000

Net operating cashflows

52800

64800

51840

End of the project cashflows

salavage value

8500

working capital

8000

Total cashflows

-158000

52800

64800

68340

discount factor @9.5%

1

0.913242

0.834011

0.761654

Discounted cashflows

-158000

48219.18

54043.91

52051.42

NPV

-3685.487038

Depreciation MACRS 3 years

0.33

0.45

0.15

Depreciation MACRS 3 years

150000

49500

67500

22500

Tax saving 40%

19800

27000

9000

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