Summary statistics
| Variables | Mean | P25 | Median | P75 | No. of stock–month obs. |
|---|---|---|---|---|---|
| relss (%) | 3.622 | 0.581 | 2.246 | 5.111 | 45,288 |
| Skewness | −0.213 | −0.661 | −0.203 | 0.238 | 45,288 |
| Down-to-Up | −0.138 | −0.448 | −0.141 | 0.167 | 45,288 |
| Skewnesst+1 | −0.214 | −0.661 | −0.202 | 0.238 | 45,178 |
| Down-to-Upt+1 | −0.138 | −0.448 | −0.140 | 0.167 | 45,178 |
| Daily ret (%) | 0.075 | −0.320 | 0.022 | 0.409 | 45,288 |
| Kurtosis | 0.872 | −0.379 | 0.303 | 1.439 | 45,288 |
| Sigma | 0.021 | 0.014 | 0.019 | 0.025 | 45,288 |
| LnSize | 13.754 | 12.585 | 13.646 | 14.816 | 45,288 |
| Trading Vol. | 11,613.223 | 1,216.146 | 3,603.642 | 9,650.232 | 45,288 |
| Abnormal tv | −0.285 | −2.726 | −0.221 | 2.073 | 45,288 |
| B/M | 0.011 | 0.001 | 0.004 | 0.011 | 45,288 |
| ROA | 0.395 | 0.021 | 0.093 | 0.482 | 45,288 |
| Lev | 1.279 | 0.378 | 0.575 | 0.927 | 45,288 |
| Variables | Mean | P25 | Median | P75 | No. of stock–month obs. |
|---|---|---|---|---|---|
| 3.622 | 0.581 | 2.246 | 5.111 | 45,288 | |
| −0.213 | −0.661 | −0.203 | 0.238 | 45,288 | |
| −0.138 | −0.448 | −0.141 | 0.167 | 45,288 | |
| −0.214 | −0.661 | −0.202 | 0.238 | 45,178 | |
| −0.138 | −0.448 | −0.140 | 0.167 | 45,178 | |
| 0.075 | −0.320 | 0.022 | 0.409 | 45,288 | |
| 0.872 | −0.379 | 0.303 | 1.439 | 45,288 | |
| 0.021 | 0.014 | 0.019 | 0.025 | 45,288 | |
| Ln | 13.754 | 12.585 | 13.646 | 14.816 | 45,288 |
| 11,613.223 | 1,216.146 | 3,603.642 | 9,650.232 | 45,288 | |
| −0.285 | −2.726 | −0.221 | 2.073 | 45,288 | |
| 0.011 | 0.001 | 0.004 | 0.011 | 45,288 | |
| 0.395 | 0.021 | 0.093 | 0.482 | 45,288 | |
| 1.279 | 0.378 | 0.575 | 0.927 | 45,288 |
Notes:
This table shows summary statistics of stock–month observations. relss (%) is the average daily relative short selling activity in a given month, defined as the daily short volume divided by the daily trading volume. Skewness is the stock price crash measure defined as the negative coefficient of skewness of firm-specific daily stock returns in a given month. The firm-specific daily stock return is the regression residual from equation (1). Down-to-Up is a stock price crash measure defined as the logarithm of the value of the standard deviation of down days, in terms of firm-specific daily returns, divided by the standard deviation of up days in a given month. We define down (up) days as the days for which the firm-specific daily stock return is below (above) the average in a given month. Daily ret (%) is the average daily stock return in a given month; Kurtosis is the kurtosis of firm-specific daily stock returns in a given month; Sigma is the standard deviation of firm-specific daily stock returns in a given month; LnSize is the logarithm of market capitalization in a given month; Trading Vol. (in thousands of shares) is the total number of shares traded in a given month; Abnormal tv is defined as the monthly turnover minus the previous month’s turnover; tv is turnover, defined as the monthly total number of shares traded divided by the number of shares outstanding; B/M is the book-to-market ratio, defined as the value of book equity in year t − 1 divided by the year-end market capitalization in year t − 1; ROA is year-end net income divided by total assets; and Lev is the leverage ratio, defined as total liability divided by total assets
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