Question
Year 0 Year 1 Year 2 Year 3 Year 4 Unit Price 2 2 2 2 Unit sales 425000 425000 425000 425000 Revenues 850000 850000
Year 0 | Year 1 | Year 2 | Year 3 | Year 4 | ||
Unit Price | 2 | 2 | 2 | 2 | ||
Unit sales | 425000 | 425000 | 425000 | 425000 | ||
Revenues | 850000 | 850000 | 850000 | 850000 | ||
Operation Costs | 637500 | 637500 | 637500 | 637500 | ||
Depreciation | 188100 | 256500 | 85500 | 39900 | ||
Other Project | 20000 | 20000 | 20000 | 20000 | ||
Effects | ||||||
Before-tax income | 4400 | -64000 | 107000 | 152600 | ||
Taxes | 1760 | -25600 | 42800 | 61040 | ||
Net Income | 2640 | -38400 | 64200 | 91560 | ||
Plus depreciation | 188100 | 256500 | 85500 | 39900 | ||
Net op cash flow | 190740 | 218100 | 149700 | 131460 | ||
Salvage value | 100000 | |||||
SV tax | 40000 | |||||
Recovery of NWC | 10000 | |||||
Termination CF | 70000 | |||||
Project NFC | ($580,000) | 190740 | 218100 | 149700 | 201460 | |
Cumulative CF | ($580,000) | ($389,260) | ($171,160) | ($21,460) | $180,000 |
Discount rate = 11.11%
4. Now assume that the sales price will increase by the 5 percent inflation rate beginning after Year 0. However, assume that cash operating costs will increase by only 2 percent annually from the initial cost estimate, because over half of the costs are fixed by long-term contracts. For simplicity, assume that no other cash flows (net externality costs, salvage value, or net working capital) are affected by inflation. What are the projects NPV, IRR, MIRR, and payback now that inflation has been taken into account? (Hint: The Year 1 cash flows, as well as succeeding cash flows, must be adjusted for inflation because the original estimates are in Year 0 dollars.)
5. The second capital budgeting decision which Lili and Brent were asked to analyze involves choosing between two mutually exclusive projects, S and L, whose cash flows are set forth as follows:
Year | Project S | Project L |
0 | (100,000) | (100,000) |
1 | 60,000 | 33,500 |
2 | 60,000 | 33,500 |
3 | 33,500 | |
4 | 33,500 |
Both of these projects are in Indian Rivers main line of business, orange juice, and the investment, which is chosen, is expected to be repeated indefinitely into the future. Also, each project is of average risk, hence each is assigned the 10 percent corporate cost of capital. a. What is each projects single-cycle NPV? Now apply the replacement chain approach and then repeat the analysis using the equivalent annual annuity approach. Which project should be chosen, S or L? Why? b. Now assume that the cost to replicate Project S in two years is estimated to be $105,000 because of inflationary pressures. Similar investment cost increases will occur for both projects in Year 4 and beyond. How would this affect the analysis? Which project should be chosen under this assumption?
6. The third project to be considered involves a fleet of delivery trucks with an engineering life of three years (that is, each truck will be totally worn out after three years). However, if the trucks were taken out of service, or abandoned, prior to the end of three years, they would have positive salvage values. Here are the estimated net cash flows for each truck:
Year | Initial Investment and Operating Cash Flow | End-of-Year Net Abandonment Cash Flow |
0 | ($40,000) | 40,00 |
1 | 16,800 | 24,800 |
2 | 16,000 | 16,000 |
3 | 14,000 | 0 |
The relevant cost of capital is again 10 percent. a. What would the NPV be if the trucks were operated for the full three years? b. What if they were abandoned at the end of Year 2? What if they were abandoned at the end of Year 1? c. What is the economic life of the truck project?
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