Pre-Estimation Analysis (with arithmetic return)
| Variable | Obs. | Mean | SD | Min | Max | Dickey-Fuller | Phillips-Perron |
|---|---|---|---|---|---|---|---|
| Panel 3–1. Descriptive statistics and stationary test | |||||||
| digitalGSVI | 209 | 0.0013402 | 0.0266363 | −0.0974993 | 0.1082318 | −10.293*** | −10.098*** |
| return_no_logVNIndex | 209 | 0.0019366 | 0.0276952 | −0.100349 | 0.1067649 | −10.420*** | −10.252*** |
| return_no_logVN30 | 209 | 0.0019294 | 0.027929 | −0.0957926 | 0.1056291 | −10.278*** | −10.099*** |
| return_no_logVN100 | 209 | 0.0013402 | 0.0266363 | −0.0974993 | 0.1082318 | −10.293*** | −10.098*** |
| Variable | Obs. | Mean | Min | Max | Dickey-Fuller | Phillips-Perron | |
|---|---|---|---|---|---|---|---|
| 209 | 0.0013402 | 0.0266363 | −0.0974993 | 0.1082318 | −10.293*** | −10.098*** | |
| 209 | 0.0019366 | 0.0276952 | −0.100349 | 0.1067649 | −10.420*** | −10.252*** | |
| 209 | 0.0019294 | 0.027929 | −0.0957926 | 0.1056291 | −10.278*** | −10.099*** | |
| 209 | 0.0013402 | 0.0266363 | −0.0974993 | 0.1082318 | −10.293*** | −10.098*** | |
| Lag/Rank | FPE | AIC | HQIC | SBIC | LL | Eigenvalue | Trace statistic | 5% critical value |
|---|---|---|---|---|---|---|---|---|
| Panel 3–2. Optimal lag selection test and co-integration test | ||||||||
| Model 1: return_no_logVNIndex = f(digitalGSVI) | ||||||||
| 0 | 0.000796 | −1.4603 | −1.44719 | −1.42788 | 153.14709 | 102.5840 | 15.41 | |
| 1 | 0.000543 | −1.84355 | −1.80421* | −1.74629* | 188.39081 | 0.28860 | 32.0965 | 3.76 |
| 2 | 0.000532* | −1.86276* | −1.79719 | −1.70066 | 204.43907 | 0.14363 | ||
| 3 | 0.000543 | −1.84325 | −1.75146 | −1.61631 | ||||
| Model 2: return_no_logVN30= f(digitalGSVI) | ||||||||
| 0 | 0.000864 | −1.37856 | −1.36544 | −1.34614 | 142.94759 | 102.5878 | 15.41 | |
| 1 | 0.000595 | −1.7513 | −1.71196* | −1.65404* | 178.05028 | 0.28763 | 32.3824 | 3.76 |
| 2 | 0.000588* | −1.76334* | −1.69777 | −1.60124 | 194.24148 | 0.14481 | ||
| 3 | 0.0006 | −1.74311 | −1.65132 | −1.51617 | ||||
| Model 3: return_no_logVN100 = f(digitalGSVI) | ||||||||
| 0 | 0.000878 | −1.36155 | −1.34843 | −1.32913 | 143.21048 | 102.8697 | 15.41 | |
| 1 | 0.000597 | −1.74862 | −1.70928* | −1.65136* | 178.55324 | 0.28928 | 32.1841 | 3.76 |
| 2 | 0.000586* | −1.76715* | −1.70159 | −1.60505 | 194.6453 | 0.14399 | ||
| 3 | 0.000601 | −1.74088 | −1.64909 | −1.51395 | ||||
| Lag/Rank | Eigenvalue | Trace statistic | 5% critical value | |||||
|---|---|---|---|---|---|---|---|---|
| Model 1: | ||||||||
| 0 | 0.000796 | −1.4603 | −1.44719 | −1.42788 | 153.14709 | 102.5840 | 15.41 | |
| 1 | 0.000543 | −1.84355 | −1.80421* | −1.74629* | 188.39081 | 0.28860 | 32.0965 | 3.76 |
| 2 | 0.000532* | −1.86276* | −1.79719 | −1.70066 | 204.43907 | 0.14363 | ||
| 3 | 0.000543 | −1.84325 | −1.75146 | −1.61631 | ||||
| Model 2: | ||||||||
| 0 | 0.000864 | −1.37856 | −1.36544 | −1.34614 | 142.94759 | 102.5878 | 15.41 | |
| 1 | 0.000595 | −1.7513 | −1.71196* | −1.65404* | 178.05028 | 0.28763 | 32.3824 | 3.76 |
| 2 | 0.000588* | −1.76334* | −1.69777 | −1.60124 | 194.24148 | 0.14481 | ||
| 3 | 0.0006 | −1.74311 | −1.65132 | −1.51617 | ||||
| Model 3: | ||||||||
| 0 | 0.000878 | −1.36155 | −1.34843 | −1.32913 | 143.21048 | 102.8697 | 15.41 | |
| 1 | 0.000597 | −1.74862 | −1.70928* | −1.65136* | 178.55324 | 0.28928 | 32.1841 | 3.76 |
| 2 | 0.000586* | −1.76715* | −1.70159 | −1.60505 | 194.6453 | 0.14399 | ||
| 3 | 0.000601 | −1.74088 | −1.64909 | −1.51395 | ||||
***Indicates that the variable is stationary at significance levels of 1% *is the suggestion of lag-order selection
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