We provide theoretical and empirical justifications for linking the realised co-skewness between the VIX and the S&P 500 to conditional equity premiums. The realised co-skewness, as a measure of hedging benefits, shows a significant (and independent to that of the variance risk premium) negative...

We uncover significant asymmetric effects of realized jump risks on conditional equity premium. Negative or ``bad'' (positive or ``good'') jumps predict a rising (falling) near-term equity premium. The signed jump risk measures remain statistically significant even when we control for the...