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BAP Corporation is reviewing an investment proposal. The initial cost and estima

ID: 2468251 • Letter: B

Question

BAP Corporation is reviewing an investment proposal. The initial cost and estimates of the book value of the investment at the end of each year, the net cash flows for each year, and the net income for each year are presented in the schedule below. All cash flows are assumed to take place at the end of the year. The salvage value of the investment at the end of each year is equal to its book value. There would be no salvage value at the end of the investment’s life.

Investment Proposal
Year Initial Cost
and Book Value
Annual
Cash Flows Annual
Net Income
0 $105,400
1 69,990 $45,000 $9,590
2 41,500 39,100 10,610
3 20,180 35,800 14,480
4 6,250 29,600 15,670
5 0 25,900 19,650



Investment Proposal
Year Initial Cost
and Book Value
Annual
Cash Flows Annual
Net Income
0 $105,400
1 69,990 $45,000 $9,590
2 41,500 39,100 10,610
3 20,180 35,800 14,480
4 6,250 29,600 15,670
5 0 25,900 19,650





BAP Corporation uses a 12% target rate of return for new investment proposals. (Refer the below table)

Explanation / Answer

1)

cash payback period =year up to which cummulative cash flow is negative + (Cummulative cah flow of that year/cash flow of next year]

           = 2 + (21300 / 35800)

          = 2+ .59

        = 2.59 years

2)AVerage annual income = (9590+10610+14480+15670+19650)/5=70000/5= 14000

Annual rate of return = 14000 / 105400 = .1328 or 13.28%

3)Present value of cash flow =(PVF@12%,1*CF1)+(PVF@12%,2*CF2).......(PVF@12%,5*CF5)

      = (.89286* 45000)+(.79719*39100)+(.71178*35800)+(.63552*29600)+(.56743*25900)

     = 40178.7+ 31170.13+ 25481.72+ 18811.39+ 14696.44

      = 130338.38

NPV = 130338.38 -105400 = 24938.38 [Rounded to 24938 ]

Year cash flow cummulativ cash flow 0 -105400 -105400 1 45000 -60400 2 39100 -21300 3 35800 14500 4 29600 5 25900