(d)Calculate the internal rate of return (IRR) for project ENGKAU. (e) Based on the IRR given and your answers in part (b) and (c) above, explain briefly which project should be accepted, If they are independent?  If they are mutually exclusive?

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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for Question part (d) and (e)

The UMCCED Technology is considering two genetic research projects. The required rate of return on these projects is 11%. The two projects provide the following set of after-tax net cash flows.

 

 

Project AKU

Project ENGKAU

Initial outlay

-RM50,000

-RM50,000

Inflow year 1

RM10,000

RM16,000

Inflow year 2

RM18,000

RM16,000

Inflow year 3

RM15,000

RM16,000

Inflow year 4

RM16,000

RM16,000

Inflow year 5

RM13,000

RM16,000

 

Required:

(a)Determine the payback period for each project. If the institute imposes a 3.5-year maximum acceptable payback period, which of these projects should be accepted?                                                                                         *Both projects can be accepted because the payback period of both projects is lower than the maximum acceptable payback period of 3.5 years but project ENGKAU is more profitable because its payback period is lower than the payback period of project AKU.

(b)Calculate the net present value (NPV) for each project. 

*The NPV of the project AKUis RM2,840.65 and the NPV of project ENGKAU is RM9,134.35.

(c)Calculate profitability index (PI) for each project.

*The PI of the project AKU is 1.06 and the PI of project ENGKAU is 1.18.

(d)Calculate the internal rate of return (IRR) for project ENGKAU.

(e) Based on the IRR given and your answers in part (b) and (c) above, explain briefly which project should be accepted,

  • If they are independent? 
  • If they are mutually exclusive?            
Project AKU
Project ENGKAU
Year
Cumulative
Cumulative
Cash Flow
Cash Flow
Cash Flow
Cash Flow
-50,000.00
-50,000.00
-50.000.00
-50,000.00
1
10,000.00
-40,000.00
16,000.00
-34,000.00
18,000.00
-22,000.00
16,000.00
-18,000.00
3
15,000.00
-7,000.00
16,000.00
-2,000.00
4
16,000.00
9,000.00
16,000.00
14,000.00
5
13,000.00
22,000.00
16,000.00
30,000.00
Required Rate of Return
11%
11%
Present Value of Cash Flow
52,840.65
59,134.35
Payback Period
3.44
3.13
NPV
2,840.65
9,134.35
PI
1.06
1.18
Transcribed Image Text:Project AKU Project ENGKAU Year Cumulative Cumulative Cash Flow Cash Flow Cash Flow Cash Flow -50,000.00 -50,000.00 -50.000.00 -50,000.00 1 10,000.00 -40,000.00 16,000.00 -34,000.00 18,000.00 -22,000.00 16,000.00 -18,000.00 3 15,000.00 -7,000.00 16,000.00 -2,000.00 4 16,000.00 9,000.00 16,000.00 14,000.00 5 13,000.00 22,000.00 16,000.00 30,000.00 Required Rate of Return 11% 11% Present Value of Cash Flow 52,840.65 59,134.35 Payback Period 3.44 3.13 NPV 2,840.65 9,134.35 PI 1.06 1.18
А
В
Project AKU
Project ENGKAU
1
Year
Cumulative Cash
Cumulative Cash
2
Cash Flow
Cash Flow
Flow
Flow
-50,000.00 =B3
-50,000.00 =D3
3
1
10,000.00|=C3+B4
16,000.00 =E3+D4
4
2
18,000.00 =C4+B5
16,000.00|=E4+D5
5
3
15,000.00 =C5+B6
16,000.00|=E5+D6
4
16,000.00|=C6+B7
16,000.00|=E6+D7
7
8
13,000.00|=C7+B8
16,000.00 =E7+D8
Required Rate of Return
11%
11%
9
Present Value of Cash Flow
=NPV(C9,B4:B8)
=NPV(E9,D4:D8)
10
Payback Period
=A6+(-C6/B7)
=A6+(-E6/D7)
11
12
NPV
=C10+B3
=E10+D3
13
PI
=C10/-B3
=E10/-D3
Transcribed Image Text:А В Project AKU Project ENGKAU 1 Year Cumulative Cash Cumulative Cash 2 Cash Flow Cash Flow Flow Flow -50,000.00 =B3 -50,000.00 =D3 3 1 10,000.00|=C3+B4 16,000.00 =E3+D4 4 2 18,000.00 =C4+B5 16,000.00|=E4+D5 5 3 15,000.00 =C5+B6 16,000.00|=E5+D6 4 16,000.00|=C6+B7 16,000.00|=E6+D7 7 8 13,000.00|=C7+B8 16,000.00 =E7+D8 Required Rate of Return 11% 11% 9 Present Value of Cash Flow =NPV(C9,B4:B8) =NPV(E9,D4:D8) 10 Payback Period =A6+(-C6/B7) =A6+(-E6/D7) 11 12 NPV =C10+B3 =E10+D3 13 PI =C10/-B3 =E10/-D3
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