Question
Assume you have been asked to evaluate an investment in capital equipment for the production of biofuels. The machine will cost $215,000 and it will
Assume you have been asked to evaluate an investment in capital equipment for the production of biofuels. The machine will cost $215,000 and it will last 10 years (useful and depreciation lifespans). Using straight-line depreciation, the salvage value for the investment is $0. You expect the equipment to have a terminal value of $20,000 at the end of the investment period.
The machine has an annual maintenance cost of $6,000. Your marginal tax rate is 30%; remember that you get to keep (1-m) for everything other than the depreciation shield on an after-tax basis (its simply m * depreciation shield). Your after tax-cost of capital (discount rate) is 9.5%. Labor costs in the production of biofuels are $17,500/year. The machine will produce 25,500 units of biofuel annually that will be sold at $2.50/unit.
Fill in the missing pieces (a through h) in the table below to complete the NPC analysis (16 points or 2 points per missing piece).
Item | Pre-tax | After-tax | Time | Growth Rate | Discount Rate | P.V. Factor | Present Value |
Machine | -$215,000 | -$215,000 | 0 | - | 0.095 | 1.0 | -$215,000.00 |
Depr. Shield | 21,500 |
| 1-10 | 0 | 0.095 |
|
|
Term.Valuea | 20,000 |
| 10 | 0 | 0.095 |
|
$5,649.20 |
Repairs | -6,000 |
| 1-10 | 0 | 0.095 |
|
|
NPV |
|
|
|
|
|
| -$195,223.51 |
NPC |
|
|
|
|
|
| $195,223.51 |
- After-tax annual amount = PV(i/(1-(1+i)-n)) = 1/(PV Factor). You will need the following formulas to complete the table: [1-(1+i)-n]/i; (1+r)-n; Hint: After-tax cost of repairs is calculated exactly the same as the after-tax terminal value.
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