FIN 3715 Chapter : Chapter 11 Solutions
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As a financial analyst, you must evaluate one of your companyâs proposed projects to produce
widgets. The necessary equipment would cost $55,000 plus $10,000 for installation. Annual sales
of widgets are expected to be 4,000 units at a price of $50 each. The projectâs life is 3 years. As a
result of the project, current assets would increase by $5,000 and payables would increase by
$3,000. At the end of the 3 years, the equipment purchased could be sold for $10,000.
Depreciation would be based on the MACRS 3-year class so the applicable rates would be 33.33%,
44.44%, 14.82% and 7.41%. Variable costs are estimated to be 70% of sales revenue, fixed costs
excluding depreciation would be $30,000 per year, the marginal tax rate is 40% and the
corporationâs cost of capital is 11%.
a.
Calculate the initial capital outlay, operating cash flows, and terminal cash flow for this project.
b.
Should the project be accepted?
c.
Suppose management is uncertain about the exact unit sales. What would be the projectâs
NPV if unit sales turned out to be 20% below forecast but other inputs were as forecasted?
Would this change the decision?
d.
The CFO asks you to do a scenario analysis using these inputs:
Scenario | Probability | Unit Sales | Variable Cost % |
Best Case | 25% | 4,800 | 65% |
Base Case | 50% | 4,000 | 70% |
Worst Case | 25% | 3,200 | 75% |
Calculate the expected NPV, standard deviation and coefficient of variation.
e.
The firmâs projects CVs generally range from 1.0 to 1.5. A 3% risk premium is added to the
wacc if the intial CV exceeds 1.5, and the wacc is reduced by 0.5% if the CV is 0.75 or less.
What should be the wacc for this project? What are the revised values for expected NPV,
standard deviation and CV? Would you recommend that the project be accepted? Explain.