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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