This article derives underlying asset risk-neutral probability distributions of European options on the S&P 500 index. Nonparametric methods are used to choose probabilities that minimize an objective function subject to requiring that the probabilities are consistent with observed option and...

This paper summarizes a program of research we have conducted over the past four years. So far, it has produced two published articles, one forthcoming paper, one working paper currently under review at a journal, and three working papers in progress. The research concerns the recovery of...

The volatility smile changed drastically around the crash of 1987, and new option pricing models have been proposed to accommodate that change. Deterministic volatility models allow for more flexible volatility surfaces but refrain from introducing additional risk factors. Thus, options are...

The proposition stated in the following quotation is shown to depend on a very restrictive application of the assumption of competitive markets:

This paper shows how to decompose the dollar profit earned from an option into two basic components: i) mispricing of the option relative to the asset at the time of purchase; and ii) profit from subsequent fortuitous changes or mispricing of the underlying asset. This separation hinges on...