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Quad Enterprises is considering a new three-year expansion project that requires

ID: 2711121 • Letter: Q

Question

Quad Enterprises is considering a new three-year expansion project that requires an initial fixed asset investment of $2.49 million. The fixed asset will be depreciated straight-line to zero over its three-year tax life. The project is estimated to generate $2,010,000 in annual sales, with costs of $705,000. The project requires an initial investment in net working capital of $230,000, and the fixed asset will have a market value of $295,000 at the end of the project. If the tax rate is 34 percent, what is the project’s Year 0 net cash flow? Year 1? Year 2? Year 3? If the required return is 11 percent, what is the project's NPV?

Explanation / Answer

Year 0 net cash flow = -initial fixed asset investment - initial investment in net working capital

Year 0 net cash flow = -2490000 -230000

Year 0 net cash flow = - 2720000

Annual Depreciation = Fixed Asset cost/useful life

Annual Depreciation = 2490000/3

Annual Depreciation = 830000

Year 1 net cash flow = (annual sales -cost)*(1-tax rate) + Annual Depreciation *tax rate

Year 1 net cash flow = (2010000-705000)*(1-34%) + 830000*34%

Year 1 net cash flow = 1143500

Year 2 net cash flow = (annual sales -cost)*(1-tax rate) + Annual Depreciation *tax rate

Year 2 net cash flow = (2010000-705000)*(1-34%) + 830000*34%

Year 2 net cash flow = 1143500

Year 3 net cash flow = (annual sales -cost)*(1-tax rate) + Annual Depreciation *tax rate + Posttax salvage Value + Working Capital realised back

Year 3 net cash flow = (2010000-705000)*(1-34%) + 830000*34% + 295000*(1-34%) + 230000

Year 3 net cash flow = 1568200

Project's NPV = -Year 0 net cash flow + Year 1 net cash flow/(1+required rate) + Year 2 net cash flow/(1+required rate)^2 + Year 3 net cash flow/(1+required rate)^3

Project's NPV = -2720000 + 1143500/1.11 + 1143500/1.11^2 + 1568200/1.11^3

Project's NPV = $ 384,924.76