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Q4. (25 marks) Alina Smith is considering an investment which will cost her $120,000. The investment produces no cash flows f
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Payback refers to the time taken by the project to recover its initial investment
We calculate cumulative cash flows for calculating the payback period

Cash flows are discounted at 10% .

Year Cash flows Discounted cash flows Cumulative cash flows
0 -120000 -120000 -120000
1 0 0 0
2 35000 28925.62 -91074.4
3 55000 41322.31 -49752.1
4 75000 51226.01 1473.943


As we see the cumulative cash flows become positive between the end of 3rd and 4 th year .
D.P.B = 3 + (49752/51226.01)
= 3+ .97
= 3.97 years


The discounted payback period is greater than 3 years. The PROJECT SHOULD NOT BE ACCEPTED .

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