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Part 1: These are the forecasts of revenues over the lifetime of a project. Assume all cash flows occur at the end of the year. Yearly expenses from year 1 to year 3: $30 Million Yearly revenues from year 1 to year 3: $0 Yearly expenses from year 4 to year 10: $55 Million Yearly expected revenues from year 4 to year 10: $105 Million The discount rate for the firm is 8.1% for all cash flows (net cash flows from projects, recovered NWC, salvage, etc.). In the first part of this question, you are asked to only calculate the present value of the discounted costs and revenues. What is this value? Part 2 is an annuity of $50 Million a year for 7 years, the first cash flow which will occur at the end of the 4th year, and the last one which will occur at the end of the 10th year. Now position yourself at the end of year 3. You should be able to use the annuity formula for the 7 cash flows which will occur from the end of year 4 to the end of year 10. However, you will have the value at the end of year 3 by using the annuity formula. You will have to use discounting again to find the present value, that is today. Once you have calculated the above, answer would be Part 1- Part 2= Discounted Net Cash Flows from year 4 to year 10- discounted costs from year 1 to year 3.
Part 2: A study that looked at the viability of the project has already been completed at a cost of $3 million. Initial Investment of $70 million for the plant and $11 million net working capital. The discount rate for the firm is 8.5 for all cash flows. Assume that both expenses and revenues for a year occur at the end of the year. NWC pays the bills during the year but has to be replenished at the end of the year. At the end of the 10th year, the plant will be scrapped for a salvage value of $20 million and the NWC equal to $11 will also be recovered. What is the NPV of the project?
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