Table 7 reports the results for the out-of-sample predictions based on the variance and skewness measures introduced in Section 2 and the financial predictors introduced in Section 4.2. We consider the August 1983–December 2016 sample to compute the performance of these alternative predictors.15 Consistent with individual regressions reported in Table 2, the variance and skewness measures with the highest out-of-sample R2 are the value-weighted and equal-weighted average skewness, with equal to 0.93% and 0.75%, respectively.16 The encompassing test ENC confirms that these variables are statistically significant as unique predictors of market returns at the 5% significance level. Among financial variables, the short interest index (SII), the tail risk (TR), and the variance risk premium (VRP) also generate a large out-of-sample R2 and a significant ENC statistic. AC and VIX have no predictive power with a negative out-of-sample R2 and an insignificant ENC statistic. The TRP produces a large out-of-sample R2 but a negative ENC statistic.
Table 7 reports the results for the out-of-sample predictions based on the variance and skewness measures introduced in Section 2 and the financial predictors introduced in Section 4.2. We consider the August 1983–December 2016 sample to compute the performance of these alternative predictors.15 Consistent with individual regressions reported in Table 2, the variance and skewness measures with the highest out-of-sample R2 are the value-weighted and equal-weighted average skewness, with equal to 0.93% and 0.75%, respectively.16 The encompassing test ENC confirms that these variables are statistically significant as unique predictors of market returns at the 5% significance level. Among financial variables, the short interest index (SII), the tail risk (TR), and the variance risk premium (VRP) also generate a large out-of-sample R2 and a significant ENC statistic. AC and VIX have no predictive power with a negative out-of-sample R2 and an insignificant ENC statistic. The TRP produces a large out-of-sample R2 but a negative ENC statistic.
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