Question: Consider a project with a 6-year life. The initial cost to set up the project is $100,000. This amount is to be linearly depreciated to
Consider a project with a 6-year life. The initial cost to set up the project is $100,000. This amount is to be linearly depreciated to zero over the life of the project and there is no salvage value. The required return is 10% and the tax rate is 34%.
The price per unit is $50, variable costs are $20 per unit and fixed costs are $30,000 per year. You've collected the following estimates for unit sales:
| Base case | Pessimistic | Optimistic | |
| Unit sales per year (Q) | 6,000 | 4,000 | 8,000 |
Attempt 1/5 for 10 pts.
Part 1
What is the NPV in the base case?
Correct
| Variable | Calculation | Amount |
| Sales | Q*P | 300,000 |
| - Variable costs | Q*VC | 120,000 |
| - Fixed costs | FC | 30,000 |
| - Depreciation | 100,000/6 | 16,667 |
| = EBIT | 133,333 | |
| - Taxes | EBIT*0.34 | 45,333 |
| + Depreciation | 16,667 | |
| = SOCF | 104,667 | |
| - Equip. cost | 0 | |
| - Change in NWC | 0 | |
| = CF | 104,667 |
Since the cash flow is contant for 6 years, we can use the annuity formula:
NPV=100,000+104,6670.1(111.16)= 355,851
Part 2
What is the NPV in the pessimistic case?
Part 3
What is the NPV in the optimistic case?
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