In: Finance
BE is considering a $10 million project that will last
five years, implying straight-line depreciation per year of $2
million. The cash revenues less cash expenses per year are
$3,500,000. The corporate tax bracket is 30 percent. The cost of
unlevered equity is 20 percent. Please value the project by APV
method under two case below.
(1) Case I: BE can obtain a five-year, nonamortizing loan for
$7,500,000 after flotation costs at the risk-free rate of 10
percent. Flotation costs are fees paid when stock or debt is
issued. BE is informed that flotation costs will be 1 percent of
the gross proceeds of its loan.
(2) Case II: BE can obtain a five-year, subsidized loan for
$7,500,000.
Question Summary | ||
Project Cost | $ 10 Million | |
Cash Revenue less expense | $ 3.5 Million | Per Year |
Depreciation | $ 2 Million | Per Year |
Unlevered cost of equity | 20% | |
Project life | 5 Years | |
Tax Rate | 30% |
($'s in Millions) | ||||||
Years | Revenue less expense | Depreciation | Revenue after Depreciation | Tax expense | Revenue after tax | Cash Revenue after tax |
1 | 3.5 | 2 | 1.5 | 0.45 | 1.05 | 3.05 |
2 | 3.5 | 2 | 1.5 | 0.45 | 1.05 | 3.05 |
3 | 3.5 | 2 | 1.5 | 0.45 | 1.05 | 3.05 |
4 | 3.5 | 2 | 1.5 | 0.45 | 1.05 | 3.05 |
5 | 3.5 | 2 | 1.5 | 0.45 | 1.05 | 3.05 |
($'s in Millions) | |||
Years | Cash Revenue after tax | Present value factor @20% | Present value |
1 | 3.05 | 0.8333 | 2.54 |
2 | 3.05 | 0.6944 | 2.12 |
3 | 3.05 | 0.5787 | 1.77 |
4 | 3.05 | 0.4823 | 1.47 |
5 | 3.05 | 0.4019 | 1.23 |
Present value of Cash inflows | 9.12 | ||
Less: | Present value of Cash outflows | 10 | |
Net present value | (0.88) |