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 …

We develop a tractable and flexible stochastic volatility multi-factor model of the term structure of interest rates …

This paper develops a methodology for testing the term structure of volatility forecasts derived from stochastic … volatility models, and implements it to analyze models of S&P 500 index volatility. Volatility models are compared by their … ability to hedge options positions sensitive to the term structure of volatility. Overall, the most effective hedge is a Black …

An efficient method is developed for pricing American options on combination stochastic volatility/jump …-diffusion processes when jump risk and volatility risk are systematic and nondiversifiable, thereby nesting two major option pricing … models. The parameters implicit in PHLX-traded Deutschemark options of the stochastic volatility/jump- diffusion model and …

We develop and implement a new method for maximum likelihood estimation in closed-form of stochastic volatility models … unobservable volatility state, to an approximate likelihood procedure where the volatility state is replaced by the implied … volatility of a short dated at-the-money option. We find that the approximation results in a negligible loss of accuracy. We …

stochastic volatility. Our approach uses linear regression to reduce the dimension of the numerical optimization problem yet it … cross-section of yields well but not volatility while unspanned models fit volatility at the expense of fitting the cross-section …

growth rate and volatility of commodity spot prices. This view gained credence because in the 2000s trading volume increased …

the mean and volatility of equity returns. Our model assumes a small risk of a rare disaster that is calibrated based on … turns out to be crucial to the model's ability to explain both equity volatility and option prices. We explore different …

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