Table 2. Summary statistics of variables used in cross-sectional analysis.
The cross-sectional means and standard deviations are calculated separately within each month. The table reports the time-series average of these means and standard deviations. Equal-weighted total breadth change is the change between month-ends t − 1 and t in the number of investors holding stock i divided by the total number of investors. Wealth-weighted total breadth change is like equal-weighted total breadth change, but weights investors by the value of their SSE stock portfolio at the open of month t. Institutional and retail breadth changes are defined analogously on the retail or institutional subsample. Equal-weighted retail IN is the percent of retail investors who held no position in the stock at t − 1 but held a positive position in it at t. Equal-weighted retail OUT is the percent of retail investors who held a positive position in the stock at t − 1 but held no position in it at t. Wealth-weighted institutional IN and OUT are defined analogously over institutions, weighting them by their SSE stock portfolio value at the open of month t. Breadth changes, IN, and OUT are expressed as percentages, so that a 1 percent value is coded as 1, rather than 0.01. The variable λi,t is the Merton shadow cost of incomplete information defined in equation (2), and Δlog(Institutional ownershipi,t) is the change between month-ends t − 1 and t in the log of the fraction of the stock’s tradable A shares held by institutions. Returni,t–11→t − 1 is the stock’s cumulative return from month t − 11 to t − 1. Liquidity ratio is the sum of the stock’s yuan trading volume divided by the sum of the stock’s absolute daily returns during month t. High relative volume and low relative volume are dummies for whether the stock’s share trading volume during the prior week was in the top tenth or bottom tenth of the ten most recent weeks, respectively. The sample is stock-months where there are a positive number of individual investors and a positive number of institutional investors at both t and t − 1.
| Mean |
Standard deviation |
|
|---|---|---|
| Returni, t+1 | 1.944 | 9.422 |
| ΔEqual-weighted total breadthi,t | −0.002 | 0.051 |
| ΔEqual-weighted retail breadth i,t | −0.002 | 0.051 |
| Equal-weighted retail INi,t | 0.067 | 0.074 |
| Equal-weighted retail OUTi,t | 0.069 | 0.075 |
| ΔEqual-weighted institutional breadth i,t | −0.009 | 0.194 |
| ΔWealth-weighted total breadthi,t | −0.031 | 0.265 |
| ΔWealth-weighted retail breadth i,t | −0.025 | 0.115 |
| ΔWealth-weighted institutional breadth i,t | −0.114 | 2.123 |
| Wealth-weighted institutional INi,t | 0.542 | 1.558 |
| Wealth-weighted institutional OUTi,t | 0.656 | 1.684 |
| λ i,t | 0.011 | 0.039 |
| Δlog(Institutional ownershipi,t) | 0.009 | 0.806 |
| log(Total market capi,t) | 14.562 | 0.786 |
| Book-to-marketi,t | 0.409 | 0.193 |
| Returni,t–11→t−1 | 17.413 | 37.316 |
| Prior quarter turnoveri,t | 1.105 | 0.603 |
| Liquidity ratioi,t | 0.936 | 1.387 |
| High relative volumei,t | 0.124 | 0.275 |
| Low relative volumei,t | 0.145 | 0.271 |