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Problem Company is replacing existing equipment with new equipment which can rep

ID: 2731560 • Letter: P

Question

Problem Company is replacing existing equipment with new equipment which can replicate what the existing machine does and also support a new product line. Old equipment was purchased 3 years ago for 100,000 and was being depreciated using a MACRS 5 year asset class depreciation schedule. It was expected to have a 15,000 salvage value at the end of year 5 when it was planned to be sold. The company is considering replacing it now with a new machine. The old machine can be sold today for 35,000. New machine will cost 180,000 and is expected to have an economic life of 8 years but is expected to use the MACRS 5 year asset class depreciation schedule for tax purposes. It is expected to have a salvage value of 12% of the original equipment costs at the end of 8 years. The remaining operational years beyond the depreciation tax schedule will not have any depreciation expense but will continue to have operational impact. The new machine will require an increase in working capital of 10,000 in the first year of the project and will be fully recovered at the end of the project. The new equipment is expected to increase revenue by 40,000 per year and reduce costs by 5,000 per year before tax impact and consideration of depreciation impact of the new machine. Cost of Capital is 10% and Tax Rate is 40%. A: Base Case scenario - Calculate the project’s NPV - What is your recommendation? B: Alternate Analysis Scenarios - What if revenue impact was only 50% of projections for the first 4 years what would be the impact on NPV? - What if cost reduction assumptions were not realized and no operational costs savings were achieved? What would the impact on NPV be? - What if both alternative scenarios happened concurrently.

Explanation / Answer

Answer

Answer (A)

Figures in $

Year

Value of the asset

Depreciation rate

Depreciation

Depreciation tax Benefit

A

B

C

A*B

C*Tax rate

1

1,80,000

20%

36000

14400

2

1,80,000

32%

57600

23040

3

1,80,000

19.20%

34560

13824

4

1,80,000

11.52%

20736

8294.4

5

1,80,000

11.52%

20736

8294.4

6

1,80,000

5.76%

10368

4147.2

Figures in $

Year

Benefit in revenue and costs after tax

Depreciation tax benefit

Purchase of new machine

Selling price of old machine

Working capital

Cashflow

Disc Rate : 10%

Present value

A

B

C

D

E

F

G

(40000+5000)*(1-tax rate)

(as calculated above)

A+B+C+D+E

F*G

0

-1,80,000

35000

-1,45,000

1.00

-145000

1

27000

14400

-10000

31,400

0.91

28545.45

2

27000

23040

50,040

0.83

41355.37

3

27000

13824

40,824

0.75

30671.68

4

27000

8294.4

35,294

0.68

24106.55

5

27000

8294.4

35,294

0.62

21915.05

6

27000

4147.2

31,147

0.56

17581.78

7

27000

27,000

0.51

13855.27

8

27000

21,600

10000

58,600

0.47

27337.33

180000*0.12

Net Present value (NPV)

60368.48

Answer : NPV of the project is $ 60368.48 so company should buy new machine

Figures in $

Year

Value of the asset

Depreciation rate

Depreciation

Depreciation tax Benefit

A

B

C

A*B

C*Tax rate

1

1,80,000

20%

36000

14400

2

1,80,000

32%

57600

23040

3

1,80,000

19.20%

34560

13824

4

1,80,000

11.52%

20736

8294.4

5

1,80,000

11.52%

20736

8294.4

6

1,80,000

5.76%

10368

4147.2

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