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Applying simulation to investment decisions 201<br />

(i) The price of the machine;<br />

(ii) The revenue resulting from the machine’s output in years 1 to 4;<br />

(iii) Maintenance costs in years 1 to 4;<br />

(iv) The scrap value of the machine at the end of year 4.<br />

The price of the machine was known to be $30 000, but because there<br />

was uncertainty about the other factors, probability distributions were<br />

elicited from the company’s management. The shapes of these distributions<br />

are shown in Figure 7.10 (for simplicity, it was assumed that the<br />

distributions were independent).<br />

Year 1<br />

Year 2<br />

6000 14000 25000<br />

Revenue ($)<br />

5000 15000<br />

Revenue ($)<br />

Year 3<br />

5000 15000<br />

Revenue ($)<br />

Year 4<br />

2000 12000<br />

Revenue ($)<br />

28000<br />

30000<br />

1000 2000 2500<br />

Maintenance costs ($)<br />

1000 4000 8000<br />

Maintenance costs ($)<br />

30000 3000 6000 10000<br />

Maintenance costs ($)<br />

4000 7000 12000 1000 2000 3000<br />

Maintenance costs ($) Scrap value ($)<br />

Figure 7.10 – Probability distributions for the Alpha machine (vertical axes represent<br />

probability density)

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