Given a European derivative security with an arbitrary payoff function and a corresponding set of" underlying … securities on which the derivative security is based, we solve the dynamic replication problem: find a" self-financing dynamic …-dependent options and options on assets with stochastic volatility and jumps. " …

the spot volatility extracted from the options and the one obtained nonparametrically from high-frequency data on the … underlying asset. We further construct new formal tests of the model fit for specific regions of the volatility surface and for … index options we extend the popular double-jump stochastic volatility model to allow for time-varying jump risk premia and a …

impose tight upper and lower bounds on the implied volatility …

-diffusions, and models of stochastic volatility. This paper explores the statistical properties of these models with a view to …

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

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 …

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 …