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New evidence on the nature of size-related anomalies in stock prices

Journal of Financial Economics 1983 12(1), 33-56 open access
This paper is concerned with the size-related anomalies in stock returns reported by Banz (1981) and Reinganum (1981). They showed that small firms have tended to yield returns greater than those predicted by the traditional CAPM. We find that the size effect is linear in the logarithm of size, but reject the hypothesis that the ex ante excess return attributable to size is stable through time. We briefly analyze the Seemingly Unrelated Regression Model (SURM) and a two-step procedure as two alternative estimators of the size effect. Due to the instability of the effect, we find that the estimates are sensitive to the time period studied.

Stock return seasonalities and the tax-loss selling hypothesis

Journal of Financial Economics 1983 12(1), 105-127
A ‘tax-loss selling’ hypothesis has frequently been advanced to explain the ‘January effect’ reported in this issue by Keim. This paper concludes that U.S. tax laws do not unambiguously predict such an effect. Since Australia has similar tax laws but a July–June tax year, the hypothesis predicts a small-firm July premium. Australian returns show pronounced December–January and July–August seasonals, and a premium for the smallest-firm decile of about four percent per month across all months. This contrasts with the U.S. data in which the small-firm premium is concentrated in January. We conclude that the relation between the U.S. tax year and the January seasonal may be more correlation than causation.