Gateway Communications is considering a project with an initial fixed assets cost of $1.53 million that will be depreciated straight-line to a zero book value over the 9-year life of the project. At the end of the project the equipment will be sold for an estimated $242,000. The project will not change sales but will reduce operating costs by $403,000 per year. The tax rate is 23 percent and the required return is 11.7 percent. The project will require $53,000 in net working capital, which will be recouped when the project ends. What is the project's NPV?
Question
Gateway Communications is considering a project with an initial fixed assets cost of 242,000. The project will not change sales but will reduce operating costs by 53,000 in net working capital, which will be recouped when the project ends. What is the project's NPV?
Solution
To calculate the Net Present Value (NPV) of the project, we need to consider the initial investment, the annual cash flows, and the salvage value at the end of the project.
Step 1: Calculate the initial investment The initial investment is the cost of the fixed assets plus the net working capital, which is 53,000 = $1.583 million.
Step 2: Calculate the annual cash flows The annual cash flows are the savings from reduced operating costs. However, we need to consider the tax impact. The after-tax savings are 310,310.
Step 3: Calculate the salvage value The salvage value is the amount the equipment will be sold for at the end of the project. However, since the equipment is depreciated to zero, the entire amount is considered a gain and is subject to tax. The after-tax salvage value is 186,340.
Step 4: Calculate the NPV The NPV is the sum of the present values of the annual cash flows and the salvage value, minus the initial investment. The present value is calculated using the formula PV = CF / (1 +
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