Crowded trades, market clustering, and price instability
| Model 1 | Model 2 | Model 3 | Model 4 | Model 5 | ||
|---|---|---|---|---|---|---|
| MOM | -0.006 | -0.11 | ||||
| (0.111) | (0.115) | |||||
| MCAP | -0.146 | 0.320* | ||||
| (0.187) | (0.192) | |||||
| ILLIQ | 0.186* | 0.408*** | ||||
| (0.096) | (0.098) | |||||
| MOMhigh | -0.180 | -0.081 | MOMup | 0.046 | ||
| (0.151) | (0.153) | (0.122) | ||||
| MOMlow | 0.037 | 0.05 | MOMdown | -0.056 | ||
| (0.095) | (0.127) | (0.134) | ||||
| MCAPhigh | 0.750*** | -0.011 | MCAPup | -0.439** | ||
| (0.237) | (0.299) | (0.180) | ||||
| MCAPlow | 0.416** | 0.003 | MCAPdown | -0.131 | ||
| (0.174) | (0.199) | (0.154) | ||||
| ILLIQhigh | 0.198 | -0.079 | ILLIQup | 0.111 | ||
| (0.127) | (0.143) | (0.116) | ||||
| ILLIQlow | 0.499*** | 0.303*** | ILLIQdown | 0.252** | ||
| (0.089) | (0.107) | (0.100) |
| VaR_dev | VaR_chg | VLuck_chg | CLUST | MKTF | VIX | MOM | MCAP | ILLIQ | PB3 | DY | LEV3 | |||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| VaR_dev | 0.073 | 0.017 | -0.061 | -0.002 | -0.047 | -0.022 | -0.268 | 0.169 | -0.067 | -0.178 | 0.010 | |||
| VaR_chg | 0.000 | 0.000 | 0.018 | -0.203 | 0.186 | -0.204 | -0.039 | 0.047 | -0.006 | 0.063 | -0.009 | |||
| VLuck_chg | 0.031 | 0.293 | 0.020 | -0.098 | 0.154 | -0.253 | -0.053 | 0.047 | -0.010 | 0.081 | -0.005 | |||
| CLUST | 0.000 | 0.020 | 0.011 | 0.004 | 0.102 | -0.036 | -0.041 | 0.058 | -0.024 | 0.031 | -0.025 | |||
| MKTF | 0.847 | 0.000 | 0.000 | 0.613 | -0.245 | 0.026 | 0.015 | -0.018 | -0.018 | -0.021 | 0.015 | |||
| VIX | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | -0.315 | -0.004 | 0.033 | -0.042 | 0.127 | 0.054 | |||
| MOM | 0.005 | 0.000 | 0.000 | 0.000 | 0.001 | 0.000 | 0.091 | -0.088 | 0.152 | -0.202 | -0.023 | |||
| MCAP | 0.000 | 0.000 | 0.000 | 0.000 | 0.050 | 0.612 | 0.000 | -0.620 | 0.046 | 0.096 | 0.227 | |||
| ILLIQ | 0.000 | 0.000 | 0.000 | 0.000 | 0.027 | 0.000 | 0.000 | 0.000 | -0.069 | -0.036 | -0.165 | |||
| PB3 | 0.000 | 0.468 | 0.208 | 0.003 | 0.030 | 0.000 | 0.000 | 0.000 | 0.000 | -0.039 | 0.015 | |||
| DY | 0.000 | 0.000 | 0.000 | 0.000 | 0.007 | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 | 0.059 | |||
| LEV3 | 0.191 | 0.276 | 0.501 | 0.002 | 0.062 | 0.000 | 0.003 | 0.000 | 0.000 | 0.065 | 0.000 |
| Model 1 | Model 2 | Model 3 | Model 4 | Model 5 | |
|---|---|---|---|---|---|
| IV lags | |||||
| CLUST | 3 : 99 | 3 : 99 | 3 : 99 | 3 : 99 | 3 : 99 |
| VaR_ | 1 : 99 | 1 : 99 | 1 : 99 | 1 : 99 | 1 : 99 |
| VIX | 3 : 99 | 3 : 99 | |||
| CLUSTt − 1 | 0.103*** | 0.111*** | 0.114*** | 0.102*** | 0.101*** |
| (0.014) | (0.015) | (0.008) | (0.014) | (0.014) | |
| CLUSTt − 2 | 0.062*** | 0.074*** | 0.077*** | 0.061*** | 0.063*** |
| (0.016) | (0.015) | (0.006) | (0.016) | (0.016) | |
| VaR_dev | 0.001 | -0.056** | -0.023 | 0.014 | -0.003 |
| (0.026) | (0.023) | (0.019) | (0.026) | (0.025) | |
| VaR_chg | 0.018 | ||||
| (0.031) | |||||
| MKTF | 0.053 | 0.113** | 0.059 | 0.043 | 0.192*** |
| (0.050) | (0.054) | (0.043) | (0.050) | (0.071) | |
| MKTFt − 1 | 0.175*** | 0.174*** | 0.128*** | 0.149*** | 0.174*** |
| (0.045) | (0.045) | (0.039) | (0.050) | (0.046) | |
| VIX | 0.178** | 0.095 | -0.038 | 0.122 | 0.237*** |
| (0.073) | (0.070) | (0.076) | (0.093) | (0.076) | |
| VIXt − 1 | 0.380*** | 0.326*** | 0.359*** | 0.374*** | 0.343*** |
| (0.099) | (0.103) | (0.079) | (0.098) | (0.100) | |
| VIXt − 2 | -0.258*** | -0.305*** | -0.270*** | -0.249*** | -0.261*** |
| (0.062) | (0.065) | (0.056) | (0.064) | (0.063) | |
| Results for MOM, MCAP and ILLIQ are on the next page. | |||||
| No. IVs | 172 | 316 | 246 | 178 | 178 |
| Sargan stat | 177.475 | 242.396 | 239.030 | 175.007 | 185.105 |
| DF | 158 | 301 | 229 | 161 | 161 |
| p-value | 0.138 | 0.994 | 0.311 | 0.203 | 0.094 |
| AR(1) | 0.000 | 0.000 | 0.000 | 0.000 | 0.000 |
| AR(2) | 0.719 | 0.528 | 0.459 | 0.716 | 0.665 |
| corr2(y, ŷ) | 0.181 | 0.188 | 0.193 | 0.174 | 0.181 |
| 2009 | 2010 | |||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 2-7 (lr)8-13 | 1 | 3 | 5 | 7 | 9 | 11 | 1 | 3 | 5 | 7 | 9 | 11 |
| MAD | = = | += | = = | = = | = = | = − | −− | = − | ++ | ++ | ++ | = + |
| Variance | = = | ++ | ++ | = + | ++ | = = | = = | = = | ++ | ++ | ++ | ++ |
| Skewness | = = | = = | = = | ++ | = = | = = | += | = = | = = | = = | ++ | ++ |
| Kurtosis | ++ | = = | ++ | ++ | ++ | += | += | ++ | = = | = = | ++ | ++ |
| 2011 | 2012 | |||||||||||
| 2-7 (lr)8-13 | 1 | 3 | 5 | 7 | 9 | 11 | 1 | 3 | 5 | 7 | 9 | 11 |
| MAD | = = | = = | = = | ++ | = = | ++ | = = | = = | = = | = = | = = | = = |
| Variance | = = | = = | = = | ++ | ++ | ++ | = = | += | = = | = = | = = | += |
| Skewness | ++ | = = | ++ | ++ | ++ | = = | = = | = = | = = | = = | = = | = = |
| Kurtosis | ++ | ++ | ++ | += | = = | = = | = = | = = | = = | = = | = = | = = |
| 2013 | 2014 | |||||||||||
| 2-7 (lr)8-13 | 1 | 3 | 5 | 7 | 9 | 11 | 1 | 3 | 5 | 7 | 9 | 11 |
| MAD | ++ | = = | = = | = + | = = | ++ | ++ | ++ | ++ | ++ | ++ | = = |
| Variance | ++ | ++ | ++ | ++ | += | ++ | ++ | ++ | ++ | ++ | ++ | += |
| Skewness | = = | = = | += | = = | ++ | = = | ++ | ++ | = = | ++ | += | += |
| Kurtosis | = = | += | ++ | = = | ++ | ++ | ++ | ++ | = + | ++ | ++ | = = |
| N.Obs. | Mean | Median | St.dev. | Min | Max | Between | Within | |
|---|---|---|---|---|---|---|---|---|
| VaR_dev | 16216 | 6.43 | 0.00 | 45.80 | -75.06 | 795.32 | 0.595 | 0.007 |
| VaR_chg | 16216 | -0.80 | 0.00 | 7.68 | -39.10 | 82.10 | 0.010 | 0.356 |
| VLuck_chg | 16216 | -0.50 | 0.00 | 7.69 | -59.74 | 98.78 | 0.011 | 0.190 |
| CLUST | 15896 | 0.04 | 0.06 | 0.28 | -1.00 | 6.58 | 0.245 | 0.041 |
| MKTF | 16216 | 1.09 | 1.02 | 5.97 | -12.33 | 13.86 | 0.003 | 1.000 |
| VIX | 16216 | 21.09 | 18.38 | 8.12 | 11.40 | 46.35 | 0.052 | 1.000 |
| MOM | 16204 | 0.64 | 0.71 | 3.48 | -18.88 | 27.71 | 0.106 | 0.338 |
| MCAP | 16216 | 7.06 | 6.99 | 2.15 | 0.93 | 12.21 | 0.970 | 0.004 |
| ILLIQ | 16051 | -3.66 | -4.40 | 4.47 | -13.82 | 12.48 | 0.957 | 0.007 |
| PB3 | 15025 | 1.95 | 1.35 | 2.50 | 0.05 | 71.67 | 0.470 | 0.010 |
| DY | 16216 | 2.88 | 2.15 | 4.53 | 0.00 | 157.78 | 0.303 | 0.032 |
| LEV3 | 15916 | 26.39 | 25.35 | 20.42 | 0.00 | 159.01 | 0.813 | 0.007 |
| 2009 | 2010 | 2011 | 2012 | 2013 | 2014 | ||
|---|---|---|---|---|---|---|---|
| a) | MAD | $`==`$ | $`==`$ | $`==`$ | $`==`$ | $`==`$ | $`++`$ |
| Variance | $`+=`$ | $`=+`$ | $`++`$ | $`==`$ | $`++`$ | $`++`$ | |
| Skewness | $`+=`$ | $`++`$ | $`++`$ | $`==`$ | $`++`$ | $`++`$ | |
| Kurtosis | $`++`$ | $`++`$ | $`++`$ | $`++`$ | $`++`$ | $`++`$ | |
| b) | Hill index neg. | $`-=`$ | $`==`$ | $`=-`$ | $`==`$ | $`==`$ | $`==`$ |
| Hill index pos. | $`--`$ | $`--`$ | $`--`$ | $`==`$ | $`--`$ | $`--`$ | |
| c) | Outliers neg. | $`\neq`$$`=`$ | $`=`$$`=`$ | $`=`$$`=`$ | $`=`$$`=`$ | $`=`$$`=`$ | $`\neq`$$`=`$ |
| Outliers pos. | $`\neq`$$`+`$ | $`\neq`$$`+`$ | $`\neq`$$`+`$ | $`=`$$`=`$ | $`\neq`$$`+`$ | $`\neq`$$`+`$ |