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. 2021 Jan 12;74:101666. doi: 10.1016/j.irfa.2021.101666

Table 5.

In-Sample Forecast evaluation.

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.