You have been asked by the President of your company to evaluate the proposed ac
ID: 2628370 • Letter: Y
Question
You have been asked by the President of your company to evaluate the proposed acquisition of a new special purpose truck with the following additional facts:
-The truck's basic price is $50,000, and it will cost another $10,000 to modify the truck for special use by your firm.
-The truck falls into the MACRS five year class life(applicable annual percentages are 20%, 32%, 19%, 12%, 11% and 6%) and the truck will be sold after two years for $40,000.
-Use of the truck requires an increase in net working capital by your company of $2,000 (capital is used to purchase spare parts inventory).
-The truck will have no effect on your company's revenues, but is expected to save the firm $20,000 per year in before-tax operating costs, mainly labor costs.
-Your firm's marginal income tax rate is 40%
-Your firm's capital structure is 50% debt and 50% equity. The firm calculates its WACC to be 9% using the following inputs: before-tax cost of debt of 10%, cost of equity of 12%, and expected market return of 12%, a risk free rate of 4%, and a firm beta of 1.0.
1. What is the net investment in the truck project (that is what is the Year 0 net cash flow)?
2. What are the operating cash flows in Year 1 and Year 2 resulting from the project?
3. What is the NPV of this project?
4. Should the project be pursued?
Explanation / Answer
1. What is the net investment in the truck project (that is what is the Year 0 net cash flow)?
net investment in the truck project = Cost + modification cost + increase in working capital = 50000+10000+2000=$62,000
2. What are the operating cash flows in Year 1 and Year 2 resulting from the project?
Book value after 2 years =(100%- 20%-32%)*60000= 28,800
After tax salvage value = 40000-(40000-28800)*40%= 35520
Year 1
Year 2
Net savings
20,000
20,000
Depreciation %
20%
32%
Depreciation expense
12000
19200
Net incmoe
4800
480
After tax salvage value
35520
Operating cash flow (Net incmoe+ depreciation + after tax salvage value)
16800
55200
Operating cash flows in Year 1 = 16800
Operating cash flows in Year 2 = 55200
3. What is the NPV of this project?
NPV = -62000 + 16800/1.09 + 55200/1.09^2= -126.42
4. Should the project be pursued?
No, because NPV is negative
Year 1
Year 2
Net savings
20,000
20,000
Depreciation %
20%
32%
Depreciation expense
12000
19200
Net incmoe
4800
480
After tax salvage value
35520
Operating cash flow (Net incmoe+ depreciation + after tax salvage value)
16800
55200
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