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Intermediate Financial Management (with Thomson One)

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94 • Part 1 Fundamental Concepts<br />

Figure 3-9<br />

_<br />

_<br />

r = 0.00033 + 1.0114 rM p<br />

30<br />

Calculating a Beta Coefficient for Fidelity’s Magellan Fund<br />

2<br />

R = 0.9892<br />

20<br />

10<br />

20<br />

10<br />

0<br />

10<br />

20<br />

Historic Realized<br />

Returns _<br />

on Magellan, r p (%)<br />

Additional Insights into Risk and Return<br />

10 20 30<br />

Historic Realized _Returns<br />

on the Market, rM (%)<br />

The CAPM provides some additional insights into the relationship between risk<br />

and return. In the following illustrations of these insights, we will use GE to represent<br />

Stock J:<br />

1. The predicted future returns on Stock J are assumed to bear a linear relationship<br />

of the following form to those of the market:<br />

Predicted future rate of return ˆr J a J b J ˆr M e J<br />

| 3-11 |<br />

Here we assume that the historical relationship between Stock J and the market<br />

as a whole, as given by its characteristic line, will continue into the future.<br />

For example, we might assume the predicted return for GE in a future period,<br />

given the market’s return in the period, is<br />

Predicated GE return ˆr GE 0.003 0.88 ˆr M e GE<br />

| 3-11a |<br />

2. In addition to general market movements, each firm also faces events that are<br />

unique to it and thus are independent of the general economic climate. Such<br />

events cause the returns on Firm J’s stock to move somewhat independently of<br />

those for the market as a whole, and these random events are accounted for by

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