We investigate the asymptotic properties of an existing high frequency realized skewness measure and propose a more reliable new estimator which is robust to the microstructure noise at ultra-high frequency level. Asymptotic theory for the new estimator has been derived. Simulation example...

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...