Question
A project requires an initial investment in equipment of $760,000 immediately (t=0) and is expected to produce sales revenue of $697, 000 the first year;
A project requires an initial investment in equipment of $760,000 immediately (t=0) and is expected to produce sales revenue of $697, 000 the first year; this revenue will increase by 4.5% per year over the next four years. Manufacturing costs are estimated to be 67% of the sales. The project demand analysis, which was done last year, cost $235,000. The asset can be depreciated on a straight-line basis over five years to a zero salvage value. The corporate tax rate is 36%. The project requires an investment in working capital. Specifically, at the beginning of the project (t=0), $45,000 of working capital is required; thereafter, working capital is projected to be 6.0% of revenue. The investment in working capital will be recovered at the end of the fifth year. At the end of the 5th year, the company plans to sell the equipment for $18,900.
To calculate the cost of capital for this project, the firm is going to use the following companies as comparable firms.
| Beta | Debt | Equity |
XOM | 1.00 | 11.63B | 403.10B |
CVX | 1.22 | 20.02B | 224.24B |
Assume that the market risk premium is 6%, the risk free-rate is 5%, and all debt is risk free, static and perpetual, and that the CAPM holds. The firm is going to finance the project with all equity.
- Determine the cost of capital for this project.
- Given the project described above, should the investment be undertaken?
c. Now suppose the firm can expand the value of the project by 50 percent at the end of year 1 with an additional investment of $500,000. Further, the firm has the option to sell the asset to another firm at the end of year 1 for $600,000. If the returns of the project have a standard deviation of 25% and the risk-free rate is 5%, what is the value of the project including these options? Use a binomial tree with 2 steps to determine the value (you can only expand or sell at the end of year 1, not before or after).
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