A company is considering a 6-year project that requires an initial outlay of $24,000. The project engineer has estimated that the operating cash flows will be $4,000 in year 1, $6,000 in year 2, $7,000 in year 3, $7,000 in year 4, $7,000 in year 5, and $9,000 in year 6. At the end of the project, the equipment will be fully depreciated, classified as 5-year property under MACRS. The project engineer believes the equipment can be sold for $5,000 at the end of the project. If the tax rate is 40% and the required rate of return is 10%, what is the net present value (NPV) of this project? (Answer to the nearest dollar.) Please show work so I will know how to do the problem!
Calculation of net present value of project | ||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | 6 | |
Initial Investment | -$24,000.00 | |||||||
Operating Cash flow | $4,000.00 | $6,000.00 | $7,000.00 | $7,000.00 | $7,000.00 | $9,000.00 | ||
After tax sale value of equipment [Sale value x (1-tax rate)] | $3,000.00 | |||||||
Net Cash flow | -$24,000.00 | $4,000.00 | $6,000.00 | $7,000.00 | $7,000.00 | $7,000.00 | $12,000.00 | |
x Discount factor @ 10% | 1 | 0.90909091 | 0.82644628 | 0.7513148 | 0.68301346 | 0.62092132 | 0.56447393 | |
Present Value | -$24,000.00 | $3,636.36 | $4,958.68 | $5,259.20 | $4,781.09 | $4,346.45 | $6,773.69 | |
Net Present Value | $5,755.48 | |||||||
The net present value (NPV) of this project = | $5,755.48 | |||||||
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