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Compute the discounted payback statistic for Project C if the appropriate cost of capital is 8...

Compute the discounted payback statistic for Project C if the appropriate cost of capital is 8 percent and the maximum allowable discounted payback period is three years. (Do not round intermediate calculations and round your final answer to 2 decimal places.)

Project C
Time: 0 1 2 3 4 5
Cash flow: –$1,300 $600 $570 $610 $360 $160

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Expert Solution

Project C Discount rate= 0.08
Year Cash flow stream Cumulative cash flow Discounting factor Discounted CF Cumulative cash flow Cumulative discounted CF
0 -1300 -1300 1 -1300 -1300 -1300
1 600 -700 1.08 555.5556 -700 -744.444
2 570 -130 1.1664 488.6831 -130 -255.761
3 610 480 1.259712 484.2377 480 228.4764
4 360 840 1.360489 264.6107 840 493.0871
5 160 1000 1.469328 108.8933 1000 601.9804
Discounted payback period is the time by which discounted cashflow cover the intial investment outlay
this is happening between year 2 and 3
therefore by interpolation payback period = 2 + (0-(-255.76))/(228.48-(-255.76))
2.53 Years
Where
Discounting factor =(1 + discount rate)^(corresponding year)
Discounted Cashflow=Cash flow stream/discounting factor

jeff jeffy answered 5 months ago
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