The Darlington Equipment Company purchased a machine5 years ago at a cost of $85,000. The machine had an expected life of 10 years at thetime of purchase, and it is being depreciated by the straight-line method by $8,500per year. If the machine is not replaced, it can be sold for $15,000 at the end of itsuseful life.A new machine can be purchased for $170,000, including installation costs. Duringits 5-year life, it will reduce cash operating expenses by $40,000 per year. Sales are notexpected to change. At the end of its useful life, the machine is estimated to be worthless.MACRS depreciation will be used, and the machine will be depreciated over its 3-year classlife rather than its 5-year economic life, so the applicable depreciation rates are 33%, 45%,15%, and 7%.The old machine can be sold today for $55,000. The firm’s tax rate is 40%. The appropriateWACC is 9%.a. If the new machine is purchased, what is the amount of the initial cash flow atYear 0?b. What are the incremental cash flows that will occur at the end of Years 1 through 5?c. What is the NPV of this project? Should Darlington replace the old machine?Explain.

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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The Darlington Equipment Company purchased a machine
5 years ago at a cost of $85,000. The machine had an expected life of 10 years at the
time of purchase, and it is being depreciated by the straight-line method by $8,500
per year. If the machine is not replaced, it can be sold for $15,000 at the end of its
useful life.
A new machine can be purchased for $170,000, including installation costs. During
its 5-year life, it will reduce cash operating expenses by $40,000 per year. Sales are not
expected to change. At the end of its useful life, the machine is estimated to be worthless.
MACRS depreciation will be used, and the machine will be depreciated over its 3-year class
life rather than its 5-year economic life, so the applicable depreciation rates are 33%, 45%,
15%, and 7%.
The old machine can be sold today for $55,000. The firm’s tax rate is 40%. The appropriate
WACC is 9%.
a. If the new machine is purchased, what is the amount of the initial cash flow at
Year 0?
b. What are the incremental cash flows that will occur at the end of Years 1 through 5?
c. What is the NPV of this project? Should Darlington replace the old machine?
Explain.

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