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Intermediate Financial Management (with Thomson One)

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Recent developments in technology have<br />

made it easier for corporations to utilize<br />

complex risk analysis techniques. New software<br />

and higher-powered computers enable<br />

financial managers to process large amounts<br />

of information, so technically astute finance<br />

people can consider a broad range of scenarios<br />

using computers to estimate the effects of<br />

changes in sales, operating costs, interest<br />

rates, the overall economy, and even the<br />

weather. Given such analysis, financial managers<br />

can make better decisions as to which<br />

course of action is most likely to maximize<br />

shareholder wealth.<br />

Risk analysis can also take account of the<br />

correlation between various types of risk. For<br />

example, if interest rates and currencies tend<br />

to move together in a particular way, this<br />

tendency can be incorporated into the<br />

model. This can enable financial managers to<br />

make better estimates of the likelihood and<br />

effect of “worst-case” outcomes.<br />

While this type of risk analysis is undeniably<br />

useful, it is only as good as the information<br />

and assumptions used in the models.<br />

460 • Part 3 Project Valuation<br />

HIGH-TECH CFOs<br />

Also, risk models frequently involve complex<br />

calculations, and they generate output that<br />

requires financial managers to have a fair<br />

amount of mathematical sophistication.<br />

However, technology is helping to solve<br />

these problems, and new programs have<br />

been developed to present risk analysis in an<br />

intuitive way. For example, Andrew Lo, an<br />

MIT finance professor, has developed a program<br />

that summarizes the risk, return, and<br />

liquidity profiles of various strategies using a<br />

new data visualization process that enables<br />

complicated relationships to be plotted<br />

along three-dimensional graphs that are<br />

easy to interpret. While some old-guard<br />

CFOs may bristle at these new approaches,<br />

younger and more computer-savvy CFOs are<br />

likely to embrace them. As Lo puts it:<br />

“The video-game generation just loves these<br />

3-D tools.”<br />

Source: “The CFO Goes 3-D: Higher Math and Savvy Software Are<br />

Crucial,” BusinessWeek, October 28, 1996.<br />

NPVs is determined. The mean, or average value, is used as a measure of the project’s<br />

expected NPV, and the standard deviation (or coefficient of variation) is used<br />

as a measure of risk.<br />

Using this procedure, we conducted a simulation analysis of RIC’s proposed<br />

project. As in our scenario analysis, we simplified the illustration by specifying the<br />

distributions for only four key variables: (1) sales price, (2) variable cost, (3) Year<br />

1 units sold, and (4) growth rate.<br />

We assumed that sales price can be represented by a continuous normal distribution<br />

<strong>with</strong> an expected value of $3.00 and a standard deviation of $0.35. Recall<br />

from Chapter 2 that there is about a 68 percent chance that the actual price will<br />

be <strong>with</strong>in one standard deviation of the expected price, which results in a range of<br />

$2.65 to $3.35. Put another way, there is only a 32 percent chance that the price<br />

will fall outside the indicated range. Note too that there is less than a 1 percent<br />

chance that the actual price will be more than three standard deviations of the<br />

expected price, which gives us a range of $1.95 to $4.05. Therefore, the sales price<br />

is very unlikely to be less than $1.95 or more than $4.05.<br />

RIC has existing labor contracts and strong relationships <strong>with</strong> some of its suppliers,<br />

which makes the variable cost less uncertain. In the simulation we assumed<br />

that the variable cost can be described by a triangular distribution, <strong>with</strong> a lower

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