We compile option-implied tail loss and gain measures based on a deep out-of-the- money option pricing formula derived by applying ‘extreme value theory', and then use these measures to investigate the information content of option-implied tail risk on the future returns of the underlying...

We investigate the relation between trading activity in the VIX derivative markets and changes in the VIX index under a high-frequency framework. We find a significant relation between the signed trading variables of VIX futures and the contemporaneous changes in the VIX index. In addition, the...

We derive the theoretical relation between the term structure of implied variance and the expected excess returns of the underlying asset. Adopting three alternative approaches to compile the variables representing the information on the implied volatility index level and term structure, we show...

This study investigates the value of two variance components and variance jumps in the pricing of VIX derivatives. In an attempt to significantly reduce the computational burden, we propose an efficient numerical technique for the pricing of VIX derivatives under the affine framework. Our...