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32 selecting securities<br />

FIGURE 1-2<br />

Cumulative Return to Beta<br />

-<br />

8-<br />

G<br />

E<br />

d<br />

16<br />

12 -<br />

4-<br />

0<br />

\<br />

l Y !<br />

E<br />

-4 i ~ ~ ~ l ~ ~ ~ i " ~ l ~ ~ ~ l<br />

JAJOJAJOJAJOJAJOJAJOJAJOJAJOJAJOJAJO/AJO<br />

1978 1979 1980 1981 1982 1983 1984 1985 1986 1987<br />

ations of risk or value, and thus cast further doubt on Eh4H the [see<br />

Jacobs and Levy (1988u)l.<br />

Return effects are also contrary to current asset pricing theories,<br />

such as the CAI", the multifactor CAPM, and APT. the For example,<br />

the CAPM posits that systematic risk, or beta, is the only<br />

characteristic that should receive compensation. Other considerations,<br />

such as a firm's size, or the month of the year, should be unrelated<br />

to security returns.<br />

Figure 1-2 displays cumulative pure returns to in beta excess of<br />

market returns for the years 1978 through 1987. These returns derive<br />

from a l cross-sectional standard deviation of exposure to high<br />

' beta, roughly equivalento a sixteenth percentile ranking. While in<br />

the early years the beta attribute provided positive returns, its returns<br />

were negative thereafter. These pure returns may differ from<br />

other studies because of our control for related attributes such as<br />

price volatility. The fact that pure returns to beta did not accum

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