(Comprehensive problem) The Shome Corporation, a firm in the 34 percent marginal tax bracket with a 15 percent required rate of return or cost of capital, is considering a new project. The project involves the introduction of a new product. This project is expected to last 5 years and then, because this is somewhat of a fad product, be terminated. Given the following information, determine the free cash flows associated with the project, the project’s net present value, the profitability index, and the internal rate of return. Apply the appropriate decision criteria.
Cost of new plant and equipment $6,900,000
Shipping and installation costs $ 100,000
Unit sales
Year Units Sold
1 80,000
2 100,000
3 120,000
4 70,000
5 70,000
Sales price per unit $250/unit in years 1 through 4, $200/unit in year 5
Variable cost per unit $130/units
Annual fixed costs $300,000 per year in years 1–5
Working-capital requirements There will be an initial working-capital requirement of $100,000 just to get production started. For each year, the total investment in net working capital will be equal to 10 percent of the dollar value of sales for that year. Thus, the investment in working capital will increase during years
1 through 3, then decrease in year 4. Finally, all working capital is liquidated at the termination of the project at the end of year 5.
The depreciation method Use the simplified straight-line method over 5 years. Assume that the plant and equipment will have no salvage value after 5 years.