Applied Nanotech is thinking about introducing a new surface cleaning machine. The marketing department has come up with the estimate that Applied Nanotech can sell 14 units per year at $302,000 net cash flow per unit for the next four years. The engineering department has come up with the estimate that developing the machine will take a $13.5 million initial investment. The finance department has estimated that a discount rate of 10 percent should be used. |
a. |
What is the base-case NPV? (A negative answer should be indicated by a minus sign. Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Base-case NPV | $ |
b. |
If unsuccessful, after the first year the project can be dismantled and will have an aftertax salvage value of $10.7 million. Also, after the first year, expected cash flows will be revised up to 19 units per year or to 0 units, with equal probability. What is the revised NPV? (Enter your answer in dollars, not millions of dollars, e.g., 1,234,567. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
Revised NPV | $ |
I posted this question previously but it was answered incorrectly. So I know the answers are not $20,102 and 1,741,161.61.
I can give you answer for Question A.
Question A |
NPV = Sum of present value of cash flows generated by the projects |
Annual cash flow = no of units sold * cash flow per unit |
=14(302000) |
=4228000 |
Cash flows from this project are an annuity so NPV is |
=-13500000+4228000(PVIFA10%,4) = 29391312.8 |
PVIFA 10 % for 4 years is 3.1699 (ref PVIFA table attached below) |
PVIFA Table
Periods | 1% | 2% | 3% | 4% | 5% | 6% | 7% | 8% | 9% | 10% |
1 | 0.9901 | 0.9804 | 0.9709 | 0.9615 | 0.9524 | 0.9434 | 0.9346 | 0.9259 | 0.9174 | 0.9091 |
2 | 1.9704 | 1.9416 | 1.9135 | 1.8861 | 1.8594 | 1.8334 | 1.808 | 1.7833 | 1.7591 | 1.7355 |
3 | 2.941 | 2.8839 | 2.8286 | 2.7751 | 2.7232 | 2.673 | 2.6243 | 2.5771 | 2.5313 | 2.4869 |
4 | 3.902 | 3.8077 | 3.7171 | 3.6299 | 3.546 | 3.4651 | 3.3872 | 3.3121 | 3.2397 | 3.1699 |
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