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PC Shopping Network may upgrade its modem pool. It last upgraded 2 years ago, wh

ID: 2764849 • Letter: P

Question

PC Shopping Network may upgrade its modem pool. It last upgraded 2 years ago, when it spent $140 million on equipment with an assumed life of 5 years and an assumed salvage value of $20 million for tax purposes. The firm uses straight-line depreciation. The old equipment can be sold today for $100 million. A new modem pool can be installed today for $210 million. This will have a 3-year life and will be depreciated to zero using straight-line depreciation. The new equipment will enable the firm to increase sales by $28 million per year and decrease operating costs by $14 million per year. At the end of 3 years, the new equipment will be worthless. Assume the firm’s tax rate is 35% and the discount rate for projects of this sort is 9%.

a)What is the net cash flow at time 0 if the old equipment is replaced? (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

b)What are the incremental cash flows in years 1, 2, and 3? (Do not round intermediate calculations. Enter your answer in millions rounded to 2 decimal places.)

c)What are the NPV and IRR of the replacement project? (Do not round intermediate calculations. Enter the NPV in millions rounded to 2 decimal places. Enter the IRR as a percent rounded to 2 decimal places.)

Explanation / Answer

Answer a 97.2

Old equipment cost

140

Depreciatio of 2 years (((140-20)/5)*2)

48

Book value at year 0

92

Sales price

100

Gain

8

Tax 35%

2.8

Net gain

5.2

cashflow

97.2

Answer b

Year

sale of old equipment

New equipment

tax saving on Depreciation

Increase in sales post tax

Decrease in operatin cost

Incremental cashflow

0

97.2

-210

-112.8

1

73.5

18.2

9.1

100.8

2

73.5

18.2

9.1

100.8

3

73.5

18.2

9.1

100.8

Answer c

Year

sale of old equipment

New equipment

tax saving on Depreciation

Increase in sales post tax

Decrease in operatin cost

Incremental cashflow

Dis @9%

Discounted cashflow

0

97.2

-210

-112.8

1

                            -112.80

1

73.5

18.2

9.1

100.8

                         0.92

                                92.48

2

73.5

18.2

9.1

100.8

                         0.84

                                84.84

3

73.5

18.2

9.1

100.8

                         0.77

                                77.84

NPV

                              142.35

Year

sale of old equipment

New equipment

tax saving on Depreciation

Increase in sales post tax

Decrease in operatin cost

Incremental cashflow

0

97.2

-210

-112.8

1

73.5

18.2

9.1

100.8

2

73.5

18.2

9.1

100.8

3

73.5

18.2

9.1

100.8

IRR

IRR(L7:L10)

72%

Old equipment cost

140

Depreciatio of 2 years (((140-20)/5)*2)

48

Book value at year 0

92

Sales price

100

Gain

8

Tax 35%

2.8

Net gain

5.2

cashflow

97.2