1. He decides to use the IRR method first. He wants to see which project is better according

Evaluating Mutually Exclusive Projects with Capital Budgeting Techniques (Case Study) Halil D. Kaya Abstract This case deals with the capital budgeting techniques of Net Present Value (i.e. NPV) and Internal Rate of Return (i.e. IRR). In this case, students will compare two mutually exclusive projects using NPV and IRR, and choose the best project. They will learn about NPV and IRR methods and their advantages and disadvantages. Students will also learn the weakness of the IRR method when comparing two or more projects. Finally, they will evaluate the two projects assuming that the projects are independent projects rather than mutually exclusive ones. This is a hands-on experience for students who want to delve into project valuation. IntroductionAfter graduating from an MBA Program on the East Coast, Michael Strahan had started workingfor a mining company. His company is evaluating two projects: One of them requires a smallerinvestment, and then will create a big, positive cash flow in the first year; and then smaller cashflows after that. The second project is a relatively bigger project. It will require a larger cashflow at the beginning, and then will bring in a relatively small cash flow in the first year. But,this second project will create much larger cash flows in the years after that.Michael has been given the task of evaluating these two projects and choosing the best one forhis company. Initially he thought that this would be an easy task for him. He would just try toaccurately predict the cash flows from the two projects and then evaluate them using some of the“capital budgeting techniques” that he had learned when he was at school.He visits Elizabeth, one of his colleagues, in order to clarify some issues that come to his mind.“Liz” he said, “I am tasked with evaluating two projects and then choosing the best one for ourcompany. I am really excited because it seems like this decision will have a big impact on ourcompany’s bottom line. Could you help me a little bit?”Elizabeth has been working for the company for more than five years. She sure wants to help hiscolleague. She says “Sure, I can help you. Exactly what do you want to learn?”Michael sighs “Elizabeth, when evaluating these two projects, I think I need to use some of thecapital budgeting techniques that we had learned at school. For example, we had Net PresentValue, Internal Rate of Return, Payback Period, and others. I am not sure which of these methodsto use”.Elizabeth responds “I read somewhere that NPV and IRR are the most commonly used methodsto evaluate a project. The Payback Period has lots of disadvantages, so you shouldn’t use thatone for sure”.Michael responds “I don’t know what the advantages and the disadvantages of each of thesemethods. I guess, first, I need to get more information about them. But, if I remember correctly,the Payback Period ignores the time value of money, so it is not good”.Elizabeth says “And it also ignores the cash flows that come after the payback period. In otherwords, if there is a very big positive cash flow that is expected to come sometime in the future,the Payback method ignores that. So, it is kind of weak. There are also other weaknesses withthat method.”She adds “IRR also has some weaknesses. I don’t remember them, but you need to research. Youdon’t want to do something wrong here.”Michael responds “I have read on the web that IRR has two main weaknesses. So, I guess I needto learn about those weaknesses”.“Thanks Liz for offering help. I am now starting to work on it. I think I will see you a few timesin the coming days!”Elizabeth responds “No problem. I am here for help, 24/7”. NPV and IRRMichael’s boss told him that these are “mutually exclusive projects” (meaning that the companywill accept only one of them). Michael thought that going over some of his class notes mayrefresh his memory. After scrambling through his notes, he noticed that he skipped the lecturewhere the professor explained capital budgeting techniques. “No problem” he thought. “I cansearch the web to find some information on these so called “mutually exclusive projects”.Michael has found some explanations for NPV and IRR on the internet. Michael finds a straightforward explanation of Net Present Value: “The difference between the present value of the future cash flows from an investment and the amount of investment. Present value of the expected cash flows is computed by discounting them at the required rate of return”.The same source explains IRR as follows: commonly used as an NPV alternative. Calculations of IRR rely on the same formula as NPV does, except with slight adjustments. IRR calculations assume a neutral NPV (a value of zero) and one instead solves for the discount rate. The discount rate of an investment when NPV is zero is the investment’s IRR, essentially representing the projected rate of growth for that investment. Because IRR is necessarily annual it allows for the simplified comparison of a wide variety of types and lengths of investments.The DecisionMichael has requested some help in estimating theThe expected cash flows for the two are:Yr.Project 1Project 20 – $20 million-$30 million (Initial cash outlay for each project)1 + $12 million+$5 million2 + $8 million+15 million3 + $5 million+20 millionHe knows that for similar projects, his company has a required return of 12%, and a cost of capital of 10% so he decides to use the 12% required rate of return in his calculations.To impress his boss, he wants to do a detailed analysis. He wants to answer all of the followingquestions:1. He decides to use the IRR method first. He wants to see which project is better accordingto the IRRs. Which project is the best using IRR?2. Is IRR an acceptable method to compare two mutually exclusive projects?3. Is NPV an acceptable method when comparing two mutually exclusive projects?4. Later, he visits one of his colleagues and talks about his findings. His colleaguerecommends him to check the NPVs also. He says “O.K. Why not? Confirming my findings with the other method would be nice”. What does he find? Do NPVs confirm his earlier findings?5. Are both methods (i.e. NPV and IRR) good in these situations? What would you do?According to your opinion, which project is better for this company?6. Does IRR always choose the same project whether a firm has a high cost of capital or alow cost of capital?7. How about NPV? Does NPV always choose the same project whether a firm has a highcost of capital or a low cost of capital?8. Over what range of discount rates should we choose Project A? Project B?9. If they were independent projects rather than mutually exclusive projects, what would wedo?
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International Research Journal of Applied Finance ISSN 2229 – 6891
Vol. VII Issue – 6 June, 2016
Case Study Series
Evaluating Mutually Exclusive Projects with Capital Budgeting Techniques
(Case Study)
Halil D. Kaya
As modified by Professor Keller (UMUC)
Abstract
This case deals with the capital budgeting techniques of Net Present Value (i.e. NPV) and Internal
Rate of Return (i.e. IRR). In this case, students will compare two mutually exclusive projects using
NPV and IRR, and choose the best project. They will learn about NPV and IRR methods and their
advantages and disadvantages. Students will also learn the weakness of the IRR method when
comparing two or more projects. Finally, they will evaluate the two projects assuming that the
projects are independent projects rather than mutually exclusive ones. This is a hands-on
experience for students who want to delve into project valuation.
Introduction
After graduating from an MBA Program on the East Coast, Michael Strahan had started working
for a mining company. His company is evaluating two projects: One of them requires a smaller
investment, and then will create a big, positive cash flow in the first year; and then smaller cash
flows after that. The second project is a relatively bigger project. It will require a larger cash
flow at the beginning, and then will bring in a relatively small cash flow in the first year. But,
this second project will create much larger cash flows in the years after that.
Michael has been given the task of evaluating these two projects and choosing the best one for
his company. Initially he thought that this would be an easy task for him. He would just try to
accurately predict the cash flows from the two projects and then evaluate them using some of the
“capital budgeting techniques” that he had learned when he was at school.
He visits Elizabeth, one of his colleagues, in order to clarify some issues that come to his mind.
“Liz” he said, “I am tasked with evaluating two projects and then choosing the best one for our
company. I am really excited because it seems like this decision will have a big impact on our
company’s bottom line. Could you help me a little bit?”
Elizabeth has been working for the company for more than five years. She sure wants to help his
colleague. She says “Sure, I can help you. Exactly what do you want to learn?”
Michael sighs “Elizabeth, when evaluating these two projects, I think I need to use some of the
capital budgeting techniques that we had learned at school. For example, we had Net Present
Value, Internal Rate of Return, Payback Period, and others. I am not sure which of these methods
to use”.
Elizabeth responds “I read somewhere that NPV and IRR are the most commonly used methods
to evaluate a project. The Payback Period has lots of disadvantages, so you shouldn’t use that
one for sure”.
Michael responds “I don’t know what the advantages and the disadvantages of each of these
methods. I guess, first, I need to get more information about them. But, if I remember correctly,
the Payback Period ignores the time value of money, so it is not good”.
Elizabeth says “And it also ignores the cash flows that come after the payback period. In other
words, if there is a very big positive cash flow that is expected to come sometime in the future,
the Payback method ignores that. So, it is kind of weak. There are also other weaknesses with
that method.”
She adds “IRR also has some weaknesses. I don’t remember them, but you need to research. You
don’t want to do something wrong here.”
Michael responds “I have read on the web that IRR has two main weaknesses. So, I guess I need
to learn about those weaknesses”.
“Thanks Liz for offering help. I am now starting to work on it. I think I will see you a few times
in the coming days!”
Elizabeth responds “No problem. I am here for help, 24/7”.
NPV and IRR
Michael’s boss told him that these are “mutually exclusive projects” (meaning that the company
will accept only one of them). Michael thought that going over some of his class notes may
refresh his memory. After scrambling through his notes, he noticed that he skipped the lecture
where the professor explained capital budgeting techniques. “No problem” he thought. “I can
search the web to find some information on these so called “mutually exclusive projects”.
Michael has found some explanations for NPV and IRR on the internet. Michael finds a
straightforward explanation of Net Present Value: “The difference between the present value of
the future cash flows from an investment and the amount of investment. Present value of the
expected cash flows is computed by discounting them at the required rate of return”.
The same source explains IRR as follows: commonly used as an NPV alternative. Calculations
of IRR rely on the same formula as NPV does, except with slight adjustments. IRR calculations
assume a neutral NPV (a value of zero) and one instead solves for the discount rate. The discount
rate of an investment when NPV is zero is the investment’s IRR, essentially representing the
projected rate of growth for that investment. Because IRR is necessarily annual it allows for the
simplified comparison of a wide variety of types and lengths of investments.
The Decision
Michael has requested some help in estimating the
The expected cash flows for the two are:
Yr.
0
1
2
3
Project 1
– $20 million
+ $12 million
+ $8 million
+ $5 million
Project 2
-$30 million (Initial cash outlay for each project)
+$5 million
+15 million
+20 million
He knows that for similar projects, his company has a required return of 12%, and a cost of
capital of 10% so he decides to use the 12% required rate of return in his calculations.
To impress his boss, he wants to do a detailed analysis. He wants to answer all of the following
questions:
1. He decides to use the IRR method first. He wants to see which project is better according
to the IRRs. Which project is the best using IRR?
2. Is IRR an acceptable method to compare two mutually exclusive projects?
3. Is NPV an acceptable method when comparing two mutually exclusive projects?
4. Later, he visits one of his colleagues and talks about his findings. His colleague
recommends him to check the NPVs also. He says “O.K. Why not? Confirming my findings with
the other method would be nice”. What does he find? Do NPVs confirm his earlier findings?
5. Are both methods (i.e. NPV and IRR) good in these situations? What would you do?
According to your opinion, which project is better for this company?
6. Does IRR always choose the same project whether a firm has a high cost of capital or a
low cost of capital?
7. How about NPV? Does NPV always choose the same project whether a firm has a high
cost of capital or a low cost of capital?
8. Over what range of discount rates should we choose Project A? Project B?
9. If they were independent projects rather than mutually exclusive projects, what would we
do?

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