our firm is contemplating the purchase of a new $615,000 computer-based order entry system. The system will be

Almost the entire question is missing, so I looked it up:

Your firm is contemplating the purchase of a new $615,000 computer-based order entry system. The system will be depreciated straight-line to zero over its five-year life. It will be worth $67,000 at the end of that time. You will save $245,000 before taxes per year in order processing costs, and you will be able to reduce working capital by $82,000 (this is a one-time reduction). If the tax rate is 30 percent, what is the IRR for this project?

depreciation expense per year = $615,000 / 5 = $123,000

initial outlay = -$615,000 + $82,000 = -$533,000

NCF year 1 = [($245,000 - $123,000) x 70%] + $123,000 = $208,400

NCF year 2 = [($245,000 - $123,000) x 70%] + $123,000 = $208,400

NCF year 3 = [($245,000 - $123,000) x 70%] + $123,000 = $208,400

NCF year 4 = [($245,000 - $123,000) x 70%] + $123,000 = $208,400

NCF year 5 = [($245,000 - $123,000) x 70%] + $123,000 + ($67,000 x 70%) = $255,300

IRR = 28.77%

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