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Given below are the cash flows of four projects, A, B, C, and D. Assume that the cash flows are equally distributed over the year

Given below are the cash flows of four projects, A, B, C, and D. Assume that the cash flows are equally distributed over the year for Payback Period calculations. (all amounts in AED)

Pro ects

Initial investment

10,000

25,000

45,000

100,000

Year One

2,000

10,000

40,000

Year Two

4,000

8,000

15,000

30,000

Year Three

14,000

20,000

20,000

Year Four

20 000

20,000

10,000

Year Five

26,000

15,000

0

Year Six

32,000

10,000

Required:

Using the Payback Period decision model, which projects do you accept and which projects do you reject given the acceptable cut-off period is three years?

Project A

Year

Cash Flow

Cumulative Cash Flow

10,000

10,000

1

6,000

2

2,000

3

2,000

4

4 000

6,000

5

4 000

10 000

6

4 000

14 000

Payback Period - - 2 years + (2,000 14,000)

Payback period = 2.5 years [2 years & 6 months]

Proiect B

Year

Cash Flow

Cumulative Cash Flow

25,000

25 000

1

2,000

23,000

2

8,000

15,000

3

14,000

1 ,ooo

4

20,000

19,000

5

26,000

45,000

6

32,000

77,000

Payback Period = 3 years + (1,000 / 20,000)

Payback period = 3.05 years [Approximately 3 years & 15 days]

Protect C

Year

Cash Flow

Cumulative Cash Flow

0

45,000

45,000

1

10,000

35,000

2

15,000

20,000

3

20,000

4

20,000

20,000

5

15,000

35,000

6

10,000

45,000

Payback Period = 3 years

Payback period = 3 years

Proiect D

Year

Cash Flow

Cumulative Cash Flow

100,000

(1 oo,ooo

1

40,000

60,000

2

30,000

30,000

3

20,000

10,000

4

10,000

5

6

Payback period -- 4 years

Payback period rule = Accept all projects where the cut-off is 3 years or less

Therefore, Project A & Project C -- Should be accepted.

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