December 1998
QT211: QUANTITATIVE ANALYSIS FOR MANAGEMENT

QUESTION 3

Total Marks: 20 Marks

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SUGGESTED SOLUTIONS
for Question 3

 

A company is attempting to choose which of two three-year projects to develop. The estimated cash flows occuring at the end of each year of the projects are given below:

 

Year Cash flows ($)
  Project 1 Project 2
0 (50,000) (40,000)
1 (30,000) 10,000
2 60,000 10,000
3 40,000 32,000

 

(a) Calculate the payback period of both projects using the payback method. Use your calculation to recommend which of the projects should be selected using the payback method.

 

[5]
(b) Calculate the net present value of each project assuming a 10% cost of capital. Use your calculation to recommend which of the projects should be selected using this assumption and the NPV method.

 

[3]
(c) Calculate the net present value of each project assuming a 12% cost of capital. Would this higher cost of capital lead you to make a different recommendation to that made in Part (b)?

 

[3]
(d) Calculate the internal rate of return estimated from your results in Parts (b) and (c) for both of the projects. Use your calculation which of the projects should be selected using the IRR method.

 

[4]
(e) Use your answers to Parts (a), (b), (c), and (d) to discuss carefully the relative merits of the three methods i.e. payback, NPV and IRR. [5]