We examine how the risk neutral probability density (RND) for the S&P 500 behaved from minute to minute during the fall of 2008, compared to earlier periods. The RND extracted from a new dataset containing the full real-time record of bid and ask quotes for index options provides an...

We analyse the dynamic behavior of conditional volatility in commodity markets using a novel, manually collected dataset of daily price ranges over a time span of more than 140 years, which allows more precise daily volatility estimates than are otherwise prevalent in the commodity literature....

In over 40 years teaching finance, I have put together hundreds of PowerPoint slides for MBA and Undergraduate level courses on Futures, Options, Derivatives and related topics. I provide them here for download and use without restriction, with the caveat that while I have done my best to make...

Very often, we associate the dawn of modern financial theory with Harry Markowitz who in the 1950s introduced the formal mathematics of probability theory to the problem of managing risk in an asset portfolio. The 1970s saw the advent of formal models for pricing options and other derivative...