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SEC Follow Up Exhibits Part C SEC_OEA_FCIC_001760-2501

SEC Follow Up Exhibits Part C SEC_OEA_FCIC_001760-2501

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Reg SHO Pilot Report DRAFT 9/14/2006<br />

The estimated α and β coefficients measure the extent to which positive and negative returns<br />

tend to reverse or continue in subsequent periods. In a world where stock prices follow a random<br />

walk, the true coefficients would be equal to zero. Unlike an ordinary autoregression, this<br />

specification permits the degree of momentum or reversals to differ for positive and negative<br />

shocks. In either case, positive coefficients would indicate that returns exhibit short-term<br />

momentum, while a negative coefficient would indicate short-term reversals. For example, if the<br />

coefficients α1 and α2 were estimated to be -0.05 and -0.01, this would mean that a negative<br />

return of one percent would, on average, be followed by a positive return of five basis points in<br />

the next period, and a positive return of one basis point in the period after that. If the coefficients<br />

β1 and β2 were estimated to be -0.04 and -0.02, this would indicate that a positive return of one<br />

percent would on average be followed by negative returns of four and then two basis points in<br />

the next two periods. We are interested in comparing these coefficients for pilot and control<br />

stocks. If price restrictions help prevent short-term negative stock price manipulations, we would<br />

expect to see the α coefficients higher for pilot stocks than for control stocks.<br />

E. Small and Low-Volume Stocks<br />

One policy alternative outlined in the first Pilot Order was to extend a uniform test to all<br />

securities, including securities with a lower market capitalization or less actively traded than<br />

those included in the Pilot. While our analysis cannot directly investigate the effects of price<br />

restrictions for stocks beyond the range covered by the pilot sample, it can provide relevant<br />

evidence by investigating whether the impact of the Pilot has been substantially different for the<br />

smaller stocks than for the larger stocks in the Pilot, or whether the impact has differed for<br />

Prepared by the Office of Economic Analysis 33<br />

DRAFT

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