Esfandairi Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.18 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life, after which time it will be worthless. The project is estimated to generate $1.645 million in annual sales, with costs of $610,000. The project requires an initial investment in net working capital of $250,000, and the fixed asset will have a market value of $180,000 at the end of the project. The tax rate is 21 percent. a. What is the project’s Year 0 net cash flow? Year 1? Year 2? Year 3? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers in dollars, not millions of dollars, e.g., 1,234,567.)b. If the required return is 12 percent, what is the project's NPV? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Question
Esfandairi Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of 1.645 million in annual sales, with costs of 250,000, and the fixed asset will have a market value of $180,000 at the end of the project. The tax rate is 21 percent. a. What is the project’s Year 0 net cash flow? Year 1? Year 2? Year 3? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers in dollars, not millions of dollars, e.g., 1,234,567.)b. If the required return is 12 percent, what is the project's NPV? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)
Solution
a. The project's net cash flow can be calculated for each year as follows:
Year 0: The initial outlay is the sum of the fixed asset investment and the initial investment in net working capital. So, the net cash flow for Year 0 is -250,000 = -$2.43 million.
Year 1, 2, and 3: The net cash flow is the after-tax profit plus depreciation. The profit is the difference between sales and costs, and the tax is 21% of the profit. The depreciation is the initial fixed asset investment divided by the tax life of 3 years. So, the net cash flow for each of these years is (610,000) * (1 - 21%) + 817,350 + 1,544,017.
Year 3: In addition to the regular cash flow, the fixed asset will be sold, so the net cash flow for Year 3 is 180,000 = $1,724,017.
b. The project's NPV (Net Present Value) can be calculated by discounting each year's net cash flow at the required return of 12%. So, the NPV is -1,544,017 / (1 + 12%)^1 + 1,724,017 / (1 + 12%)^3 = -1,378,587 + 1,089,747 = $1,269,755.
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