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210 Applying simulation to decision problems<br />

NPV ($m)<br />

Probabilities<br />

Extend existing<br />

plant<br />

Replace with new<br />

equipment<br />

−3 tounder−2 0.05 0.00<br />

−2 tounder−1 0.05 0.05<br />

−1 to under 0 0.15 0.15<br />

0tounder 1 0.29 0.26<br />

1tounder 2 0.22 0.21<br />

2tounder 3 0.14 0.18<br />

3tounder 4 0.10 0.10<br />

4tounder 5 0.00 0.05<br />

(a) Compare the two distributions, and stating any necessary<br />

assumptions, determine the option that the management should<br />

choose.<br />

(b) After the above simulations have been carried out a third possible<br />

course of action becomes available. This would involve the<br />

movement of some of the company’s operations to a new site.<br />

A simulation of this option generated the following probability<br />

distribution. Is this option worth considering?<br />

NPV ($m) Probability<br />

−2 tounder−1 0.05<br />

−1 tounder0 0.05<br />

0tounder1 0.40<br />

1tounder2 0.40<br />

2tounder3 0.04<br />

3tounder4 0.03<br />

4tounder5 0.03<br />

(6) A publisher is considering launching a new magazine for women in<br />

the 18–25 years age group. It is thought to be vital to the long-term<br />

success of the magazine that its sales should reach break-even point<br />

within its first year. When asked to make an estimate of the risk of<br />

this target not being achieved, the marketing manager, after some<br />

thought, states that she thinks the risk is only about 1 in 10.<br />

(a) Sketch out the key features of a risk analysis model which might<br />

be appropriate for this estimate and explain how the estimate<br />

would be obtained from the model.

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