Question
CF Inc. is planning to purchase a machine to produce widgets for four years. The machine costs $40 million, has a useful lifetime of 4
CF Inc. is planning to purchase a machine to produce widgets for four years. The machine costs $40 million, has a useful lifetime of 4 years, and has no salvage value afterwards (i.e., when production is over the machine will be discarded). The firm already owns a (currently vacant) building in which the machine will be installed. The buildings current market value is $50 million and is not expected to change. The cost of manufacturing widgets is $15 per unit, and the current market price of widgets is $20. Both cost and price are not expected to change. The following table gives some additional per year data for the project.
Year | 1 | 2 | 3 | 4 |
Number of Widgets Sold (millions) | 8 | 20 | 12 | 5 |
Required working capital (million) | 20 | 30 | 40 | 30 |
(a) Ignoring for now depreciation and taxes, what are the net cash flows of the project?
(b) Still ignoring depreciation and taxes, if the cost of capital for the project is 8%,what is its NPV?
(c) Assume now that the firm uses a 4-year straight-line depreciation for the capital investment (the machine). If the corporate tax rate is 35%, what are the taxes the firm must pay in each year, and how does this change the projects NPV?
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