This paper examines continuous-time models for the S&P 100 index and its constituents. We find that the jump process of the typical stock looks significantly different than that of the index. Most importantly, the average size of a jumps in the returns of the typical stock is positive, while it...

This study documents a positive relationship between the option-implied risk-neutral skewness (RNS) of individual stock returns' distribution and future realized stock returns during the period 1996-2012. A strategy that is long the quintile portfolio with the highest RNS stocks and short the...

Several approaches to model stock returns with Lévy Processes have been developed in the past years. Firstly, this article will review existing approaches and compare the latest ones through an analysis of the Lévy density. Secondly, this article will provide a simple but general...

Are options on more volatile assets expected to provide higher or lower return? Using analytics, we show the ambiguous nature of the answer when the volatility differential is due to the systematic/priced risk. Here the difference in the expected return of the assets also matters and has an...

This paper presents the first comparison of the accuracy of density forecasts for stock prices. Six sets of forecasts are evaluated for DJIA stocks, across four forecast horizons. Two forecasts are risk-neutral densities implied by the Black-Scholes and Heston models. The third set are...