Bhd invested in two projects, project Alpha and project Beta. The projects are independent of each other. The following schedule shows the cash flows for each project. Year Project Alpha Project Beta 0 -10,000 -10,000 1 5,000 1,000 2 4,000 2,000 3 2,000 2,000 4 2,000 3,000 5 1,000 6,000 The following schedule shows the profit for

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Chapter1: Financial Statements And Business Decisions
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Prominent Sdn Bhd invested in two projects, project Alpha and project Beta. The projects are independent of each other. The following schedule shows the cash flows for each project.

Year Project Alpha Project Beta
0 -10,000 -10,000
1 5,000 1,000
2 4,000 2,000
3 2,000 2,000
4 2,000 3,000
5 1,000 6,000

The following schedule shows the profit for each project.

Year Project Alpha Project Beta
0 0 0
1 2,000 1,000
2 2,000 1,000
3 2,000 2,000
4 2,000 2,000
5 2,000 4,000

The discount rate is 10%. 

Additional information :

Appraisal method 1: Rate of return :

Year

Project Alpha

Project Beta

1

2,000

1,000

2

2,000

1,000

3

2,000

2,000

4

2,000

2,000

5

2,000

4,000

total profit

10000

10000

average annual profit

(total profit / number of years)

2000

(10000/5)

2000

(10000/5)

initial investment

10000

10000

accounting rate of return = average annual profit initial investment * 100

20%

200010000 * 100

20%

200010000 * 100

accounting rate of return of Project Alpha is 20 % and Project Beta is 20%.

 

Additional information:

Appraisal method 2: Payback period : 

 computation of cumulative cash inflows.

Year

Project Alpha

cumulative cash inflows of Project Alpha.

Project Beta

cumulative cash inflows of Project Beta.

1

5,000

5000

1,000

1000

2

4,000

9000

2,000

3000

3

2,000

11000

2,000

5000

4

2,000

13000

3,000

8000

5

1,000

14000

6,000

14000

 

For Project Alpha ,

initial investment of Project Alpha is 10000.

This initial investment of 10000 is recovered between year 2 and 3 as value of 10000 comes 9000 and 11000 as can be seen from cumulative cash inflows of Project Alpha column.

Payback period =  2 years and  (10000 - 9000) * 12 months(11000-9000)

Payback period =  2 years and 6 months

Payback period =  2.5 years.

Payback period for Project Alpha is 2.5 years.

 

For Project Beta ,

initial investment of Project Beta is 10000.

This initial investment of 10000 is recovered between year 4 and 5 as value of 10000 comes 8000 and 14000 as can be seen from cumulative cash inflows of Project Beta column.

Payback period =  4 years and (10000-8000) * 12 months(14000-8000)

Payback period =  2 years and 4 months

Payback period =  2.33 years.

Payback period for Project Beta is 2.33 years.

 

Additional information:

Appraisal method 3: Net Present Value 

Year

Project Alpha

(a)

Project Beta

(b)

present value factor @ 10 %

(c)

present value of Project Alpha

(a*c)

present value of Project Beta

(b*c)

0

-10,000

-10,000

1

-10,000

-10,000

1

5,000

1,000

0.9091

4545.5

909.1

2

4,000

2,000

0.8264

3305.6

1652.8

3

2,000

2,000

0.7513

1502.6

1502.6

4

2,000

3,000

0.6830

1366

2049

5

1,000

6,000

0.6209

620.9

3725.4

 

Net Present Value (total)

 

 

1341

-161

Net Present Value  of Project Alpha is 1341 .

Net Present Value of  Project Beta is (161) (negative161) .

 

Question:

If the projects are mutually exclusive, which project should Prestigious Sdn Bhd invest
in? Explain your recommendation with reference to the above appraisal methods. 

 

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