Table 5.
Pre-COVID Announcement |
Post-COVID Announcement |
|||
---|---|---|---|---|
Model 1 | Model 2 | Model 1 | Model 2 | |
RMSE | 0.3460 | 0.7565 | 1.0392 | 1.4982 |
MAD | 0.5000 | 0.5570 | 0.9193 | 0.9708 |
MAPE | 801.252 | 2160.096 | 1255.636 | 758.942 |
Clark & West | – | 0.2099*** (0.0710) [2.9535] |
– | 1.2478*** (0.5252) [2.3760] |
Note: Model 1 incorporates the Uncertainty (VIX) predictor while Model 2 is the Historical Average model. Thus, the former is the unrestricted model while the latter is the restricted model. RMSE is Root Mean Square Error; MAD is Mean Absolute Deviation & MAPE is Mean Absolute Percentage Error. The results for the Clark & West are reported for the model under the null (i.e. Model 2). The RMSE reported for Model 1 is the version of Clark and West (2007) which adjusts the difference in mean squared prediction errors to account for the additional predictors in the model. *** and ** & * imply the rejection of the null hypothesis of equal forecast accuracy at 1%, 5% & 10% levels of significance, respectively. The null hypothesis of a zero coefficient is rejected if this statistic is greater than +1.282 (for a one sided 0.10 test), +1.645 (for a one sided 0.05 test) and + 2.00 for 0.01 test (for a one sided 0.01 test) (see Clark & West, 2007). Values in parentheses - () denote standard errors while those reported in square brackets – [] are for t-statistics.