We use a novel pricing model to filter times series of diffusive volatility and jump intensity from S&P 500 index … about twice the premium required to compensate the same investor for the realized volatility, 5.8 percent. Moreover, the ex …

Many ways exist to measure and model financial asset volatility. In principle, as the frequency of the data increases …, the quality of forecasts should improve. Yet, there is no consensus about a true' or best' measure of volatility. In this … paper we propose to jointly consider absolute daily returns, daily high-low range and daily realized volatility to develop a …

of stochastic volatility and jumps for option valuation. This example highlights the impact on option 'smirks' of the … joint distribution of jumps in volatility and jumps in the underlying asset price, through both amplitude as well as jump …

The notion of model-free implied volatility (MFIV), constituting the basis for the highly publicized VIX volatility … more compatible with the related concept of corridor implied volatility (CIV). We provide a comprehensive derivation of the … CIV measure and relate it to MFIV under general assumptions. In addition, we price the various volatility contracts, and …

We conduct a comprehensive analysis of unspanned stochastic volatility in commodity markets in general and the crude …-oil market in particular. We present model-free results that strongly suggest the presence of unspanned stochastic volatility in … stochastic volatility. The model features correlations between innovations to futures prices and volatility, quasi …

-dependent options and options on assets with stochastic volatility and jumps. " …