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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 tax rate is 21 percent and the required return on the project is 12 percent. What is the project’s NPV? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)

Question

Esfandairi Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of 2.18million.Thefixedassetwillbedepreciatedstraightlinetozerooveritsthreeyeartaxlife,afterwhichtimeitwillbeworthless.Theprojectisestimatedtogenerate2.18 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 tax rate is 21 percent and the required return on the project is 12 percent. What is the project’s NPV? (Do not round intermediate calculations and enter your answer in dollars, not millions of dollars, rounded to 2 decimal places, e.g., 1,234,567.89.)

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Solution

To calculate the Net Present Value (NPV) of the project, we need to follow these steps:

  1. Calculate the annual depreciation: The fixed asset will be depreciated straight-line to zero over its three-year tax life. This means the depreciation expense each year is 2.18million/3=2.18 million / 3 = 726,666.67.

  2. Calculate the annual taxable income: This is the annual sales minus costs and depreciation. So, the taxable income each year is 1.645million1.645 million - 610,000 - 726,666.67=726,666.67 = 308,333.33.

  3. Calculate the annual tax: This is the taxable income times the tax rate. So, the tax each year is 308,333.3321308,333.33 * 21% = 64,750.

  4. Calculate the annual net income: This is the taxable income minus the tax. So, the net income each year is 308,333.33308,333.33 - 64,750 = $243,583.33.

  5. Calculate the annual cash flow: This is the net income plus depreciation. So, the cash flow each year is 243,583.33+243,583.33 + 726,666.67 = $970,250.

  6. Calculate the present value of the cash flows: This is the cash flow divided by (1 + the required return) raised to the power of the year. So, the present value of the cash flows is 970,250/(1+12970,250 / (1 + 12%)^1 + 970,250 / (1 + 12%)^2 + 970,250/(1+12970,250 / (1 + 12%)^3 = 866,473.21 + 773,448.04+773,448.04 + 690,574.68 = $2,330,495.93.

  7. Calculate the NPV: This is the present value of the cash flows minus the initial investment. So, the NPV is 2,330,495.932,330,495.93 - 2.18 million = $150,495.93.

So, the project's NPV is $150,495.93.

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