A factory costs $860,000. You reckon that it will produce an inflow after operating costs of...

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Finance

A factory costs $860,000. You reckon that it will produce aninflow after operating costs of $176,000 a year for 10 years.

a. If the opportunity cost of capital is 12%,what is the net present value of the factory? Answer:$134,439.25

b. What will the factory be worth at the end of nineyears?

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a.
Net present value of factory is calculated as present value of cash inflow less present value of cash outflow
Calculation of net present value of factory.
Year Cash flow Discount @ 12% Present value
0 -$860,000.00 1.00000 -$860,000.00
1 $176,000.00 0.89286 $157,142.86
2 $176,000.00 0.79719 $140,306.12
3 $176,000.00 0.71178 $125,273.32
4 $176,000.00 0.63552 $111,851.18
5 $176,000.00 0.56743 $99,867.13
6 $176,000.00 0.50663 $89,167.08
7 $176,000.00 0.45235 $79,613.46
8 $176,000.00 0.40388 $71,083.45
9 $176,000.00 0.36061 $63,467.36
10 $176,000.00 0.32197 $56,667.29
$134,439.25
Thus, net present value of factory is $134,439.25.
b.
At end of nine years, the remaining cash inflow would be $170,000 and so the worth of factory at end of nine years would be present value of $170,000 at end of ninth year.
Calculation of present value of $170,000
Worth of factory 170000*(1/(1.12^1))
Worth of factory $151,785.71
Thus, the factory would be worth of $151,785.71 at end of nine years.

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