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In: Finance

Premium Soccer Ball Company is considering a project with the following relevant cash flows: Initial Outlay...

Premium Soccer Ball Company is considering a project with the following relevant cash flows: Initial Outlay = $750,000 Incremental Cash Flows from Operations Year 1-4 = $250,000 per year Terminal Cash Flow at the End of Year 4 = $40,000 Compute the net present value of this project if the firm's cost of capital is 12%

Solutions

Expert Solution

Present value factor

= 1 / ( 1 + Rate of Interest ) ^ Number of period

So, PV Factor for year 2 will be

= 1 / [( 1 + 0.12 ) ^ 2]

= 1 / 1.2544

= 0.797194

The following table shows the calculations

Calculations Years 0 1 2 3 4
A Initial Cash Outflow         (750,000)                     -                       -                       -                       -  
B Annual Cash Inflow                       -            250,000          250,000          250,000          250,000
C Terminal Cash Inflow                       -                       -                       -                       -              40,000
D = A+B+C Net Cash Flow         (750,000)          250,000          250,000          250,000          290,000
E PV Factor                        1       0.892857       0.797194       0.711780       0.635518
F = D x E Present Value (750,000.00)    223,214.29    199,298.47    177,945.06    184,300.24
G = Sum F Net Present Value        34,758.06

So, as per above calculations, the net present value is $ 34,758.06


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