Bruno's Lunch Counter is expanding and expects operating cash flows of $30,100 a year for 6 years as a result. This expansion requires $95,400 in new fixed assets. These assets will be worthless at the end of the project. In addition, the project requires $7,400 of net working capital throughout the life of the project. What is the net present value of this expansion project at a required rate of return of 12 percent?
$30,716
$32,910
$34,738
$28,353
$24,702
Present value of inflows=cash inflow*Present value of discounting factor(rate%,time period)
=30100/1.12+30100/1.12^2+.............+30100/1.12^6+7400/1.12^6[Net working capital will be released at end of project]
=30100[1/1.12+1/1.12^2+..............+1/1.12^6]+7400/1.12^6
=(30100*4.111407324)+(7400*0.506631121)
=$127,502.43
Present value of outflows=95400+7400
=$102800
NPV=Present value of inflows-Present value of outflows
=$127,502.43-$102800
=$24702(Approx).
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