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-2<br />

1982 1983 1984 1985 1986 1987<br />

180 selecting securities<br />

FIGURE S 3<br />

Forecasting Returns to Small Size<br />

-<br />

10<br />

Cumulative Return<br />

- 0.3 t,"',<br />

1982 1983 1984 1985 1986 1987<br />

results hold for the MAE and RMSE. The t-statistics are significant<br />

for all six forecast steps, and decline gradually from 3.1 at step 1 to<br />

2.0 at step 6. It is highly unlikely that the economic insight associated<br />

with this approach occurred as a result of chance.<br />

We used an "impulse" analysis to estimate the impact of each<br />

macro driver on forecast returns. To consider the effect of an unexpected<br />

increase in the corporate bond rate on forecast returns size, to<br />

for example, we defined the magnitude of the rate increase to be 1<br />

standard deviation, or one unit, of historical BAA interest rate volatility<br />

and applied this one-unit BAA rate "shock" to the model?4<br />

Figure 5-4 graphs the forecast return response of small size to<br />

one-unit shocks in each of the six macro drivers. A shock in the BAA

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