Question
ABC corporation projects their future unit sales for a new headphone. The projected unit sales are as below. 1 2 3 4 5 Unit sales
ABC corporation projects their future unit sales for a new headphone. The projected unit sales are as below.
1 | 2 | 3 | 4 | 5 | |
Unit sales | 70000 | 80000 | 120000 | 100000 | 90000 |
To produce the headphones, the initial net working capital of $2,000,000 is required and additional net working capital is also required each year, which is 20% of the projected sales increase for the following year. The net working capital will be recovered at the end of a project. In addition, the initial installation cost of the machine for production is $20,000,000. The machine will be depreciated for tax purposes using straight-line depreciation with the useful life of 8 years. Also, costs and unit price are as below.
Fixed cost | $3,250,000 per year |
Variable cost | $280 per unit |
Price | $425 per unit |
In five years, the machine can be sold for about 20% of its acquisition cost. The tax rate is 30% and the required rate of return is 18%.
Required
- What is the NPV of the project? Explain and defend your processes, answer, and calculations clearly.
- Assuming that the project can be repeated indefinitely, what is the NPV of the project? Suppose that there is another project with the NPV of $4 million and the NPV of $6 million. Which project would you choose, assuming that two projects are mutually exclusive and can be repeated indefinitely? Why? Explain and defend your processes, answer, and calculations clearly.
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