Symon Meats is looking at a new sausage system with an installed
cost of $510,000. This cost will be depreciated straight-line to
zero over the project’s five-year life, at the end of which the
sausage system can be scrapped for $76,000. The sausage system will
save the firm $190,000 per year in pretax operating costs, and the
system requires an initial investment in net working capital of
$35,000. If the tax rate is 34 percent and the discount rate is 10
percent, what is the NPV of this project? (Do not round
intermediate calculations and round your answer to 2 decimal
places, e.g., 32.16.)
rate positively ..
computation of NPV | ||||||||
Year | 0 | 1 | 2 | 3 | 4 | 5 | ||
i | cost of system | -510000 | ||||||
ii | working capital | -35000 | 35000 | |||||
Operating cash flow | ||||||||
a | Saving in cost | 190000 | 190000 | 190000 | 190000 | 190000 | ||
b | Depreciation | 102000 | 102000 | 102000 | 102000 | 102000 | ||
c=a-b | Profit before tax | 88000 | 88000 | 88000 | 88000 | 88000 | ||
d=c*34% | Tax @ 34% | 29920 | 29920 | 29920 | 29920 | 29920 | ||
e=c-d | Profit after tax | 58080 | 58080 | 58080 | 58080 | 58080 | ||
iii=e+b | Operating cash flow | 160080 | 160080 | 160080 | 160080 | 160080 | ||
iv | Post tax salvage value | |||||||
76000*(1-34%) | 50160 | |||||||
v=i+ii+iii+iv | Net cash flow | -545000 | 160080 | 160080 | 160080 | 160080 | 245240 | |
vi | PVIF @ 10% | 1.0000 | 0.9091 | 0.8264 | 0.7513 | 0.6830 | 0.6209 | |
vii | Present value | (545,000.00) | 145,527.27 | 132,297.52 | 120,270.47 | 109,336.79 | 152,274.75 | 114,706.81 |
therefore NPV = | 114,706.81 |
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