Answer:
total pretax annual savings = $210,941.06
Explanation:
initial outlay (year 0) = -$684,500 (cost of computer system) + $92,500 (reduction of net working capital) = -$592,000
depreciation expense per year = $684,500 / 5 = $136,900
net after tax cash value = $66,600 x (1 - 21%) = $52,614
net cash flows years 1 - 4 = [($203,750 - $136,900) x 79%] + $136,900 = $189,711.50
net cash flow year 5 = $189,711.50 + $52,614 = $242,325.50
using a 21% discount rate, the NPV = -$16,622.15
Since the NPV is negative, that means that the annual cost savings are not high enough to accept the project.
the point where the company would be indifferent between accepting or rejecting the project is when NPV = 0
this means that net cash flows must increase by $16,622.15 / 2.92595 (PV annuity factor, 21%, 5 periods) = $5,680.94
this is an after tax number, but a pretax annual cost saving = $5,608.94 / 0.79 = $7,191.06
total pretax annual savings = $203,750 + $7,191.06 = $210,941.06
net cash flows years 1 - 4 = [($210,941.06 - $136,900) x 79%] + $136,900 = $195,392.44
net cash flow year 5 = $195,392.44 + $52,614 = $248,006.44
NPV = 0
