alternative models that have been proposed in this context, two have become especially popular in recent years: models of jump …-diffusions, and models of stochastic volatility. This paper explores the statistical properties of these models with a view to …

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 …

In the setting of affineamp;apos; jump-diffusion state processes, this paper provides an analytical treatment of a … examines the implications of stochastic volatility and jumps for option valuation. This example highlights the impact on option … amp;apos;smirksamp;apos; of the joint distribution of jumps in volatility and jumps in the underlying asset price, through …

This paper studies the pricing of volatility risk using the first-order conditions of a long-term equity investor who … volatility. Empirically, we present novel evidence that low-frequency movements in equity volatility, tied to the default spread …

impose tight upper and lower bounds on the implied volatility …

We exploit direct model-free measures of daily equity return volatility and correlation obtained from high …, solidify and extend existing characterizations of stock return volatility and correlation. We find that the unconditional … portfolio diversification when the market is most volatile. Our findings are broadly consistent with a latent volatility fact or …

forecasting of daily and lower frequency volatility and return distributions. Most procedures for modeling and forecasting … ARCH or stochastic volatility models, which often perform poorly at intraday frequencies. Use of realized volatility … variation, we formally develop the links between the conditional covariancematrix and the concept of realized volatility. Next …