Question

In: Accounting

1-A company is considering mutually exclusive Projects A and B, which have the following cash flows;...

1-A company is considering mutually exclusive Projects A and B, which have the following cash flows; which project should be selected if the company is using the payback method? Year Project A Cash Flow Project B Cash Flow 0 -$200 -$300 1 40 90 2 60 70 3 70 120 4 80 150 5 100 1 40.

Solutions

Expert Solution

Ans. A project is accepted with lower payback period because this indicates that the
company will recover its invested money in less time period.
So, the Project B should be accepted.
*CALCULATIONS:
PROJECT   A : Year Cash inflows Cummulative Cash Inflows
1 $40 $40
2 $60 $100
3 $70 $170
4 $80 $250
5 $100 $350
Full years + (Amount to complete recovery in next year / Projected cash inflow in next year) = Payback period
3 + ($30 / $80)
3 + 0.375
3.375    years
*Explanations:
*Full years consist of the years in which the Sum of cash inflows are the nearest lower value than investment.
*Cummulative Cash Inflows = Cash inflow of current year + Sum of previous year cash inflows
*Amount to complete recovery in next year = Investment - Cummulative cash flow of full years
$200 - $170
$30
PROJECT   B : Year Cash inflows Cummulative Cash Inflows
1 $90 $90
2 $70 $160
3 $120 $280
4 $150 $430
5 $140 $570
Full years + (Amount to complete recovery in next year / Projected cash inflow in next year) = Payback period
3 + ($20 / $150)
3 + 0.133
3.133    years
*Explanations:
*Full years consist of the years in which the Sum of cash inflows are the nearest lower value than investment.
*Cummulative Cash Inflows = Cash inflow of current year + Sum of previous year cash inflows
*Amount to complete recovery in next year = Investment - Cummulative cash flow of full years
$300 - $280
$20

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