Calculate the expected NPV of each of the three projects and conclude whether it would be better to invest in X alone or in Y and Z. Calculate the four possible outcomes for the NPV if Y and Z are undertaken along with their associated probabilities. Calculate the probability of making a negative NPV if X alone is chosen or if Y and Z are chosen; comment on your results.

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
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4.  Strathburn

Strathburn is a family-owned company which is reviewing its investment plans; it is currently looking at three projects for which £2 million has been put aside.

Project

Investment

PV of future cashflows

Probability

 

£ million

£ million

 

 

X

2.0

7.0

1.0

0.417

0.583

   
 

Y

1.0

3.5

0.5

0.5

0.5

   
 

Z

1.0

3.0

0

0.5

0.5

 

 

 

These projects are not divisible so the company could either invest in X alone or in Y and Z.

Required:

  • Calculate the expected NPV of each of the three projects and conclude whether it would be better to invest in X alone or in Y and Z.
  • Calculate the four possible outcomes for the NPV if Y and Z are undertaken along with their associated probabilities.
  • Calculate the probability of making a negative NPV if X alone is chosen or if Y and Z are chosen; comment on your results.
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