In this paper, we propose an easy-to-use yet comprehensive model for a system of cointegrated commodity prices. While retaining the exponential affine structure of previous approaches, our model allows for an arbitrary number of cointegration relationships. We show that the cointegration...

Options on crude oil futures are the most actively traded commodity options. We develop a class of computationally efficient discrete-time jump models that allow for closed-form option valuation, and we use crude oil futures and options data to investigate the economic importance of jumps and...

Since the collapse of the Metallgesellschaft AG due to hedging losses in 1993, energy practitioners have been concerned with the ability to hedge long-dated linear and non-linear oil liabilities with short-dated futures and options. This paper identifies a model-free non-parametric approach to...

Since the collapse of the Metallgesellschaft AG due to hedging losses in 1993, energy practitioners have been concerned with the ability to hedge long-dated linear and non-linear oil liabilities with short-dated futures and options. This paper identifies a model-free non-parametric approach to...

In this paper, we derive optimal hedging strategies for options in electricity futures markets. Optimality is measured in terms of minimal variance and the associated minimal variance hedging portfolios are obtained by a stochastic maximum principle. Our explicit results are particularly useful...

Options on crude oil futures are the most actively traded commodity options. We develop a class of computationally efficient discrete-time jump models that allow for closed-form option valuation, and we use crude oil futures and options data to investigate the economic importance of jumps and...

In this work we perform a pricing exercise of different types of spread options; we particularly focus on European calendar and crack spread options. We present the expressions followed by the joint characteristic functions of the underlying log-prices for a panel of bivariate processes. The...

Little is known about trading activity in commodity options market. We study the information content of commodity futures and options trading volume. Time-series tests indicate that futures contracts in a portfolio with the lowest option-to-futures volume ratio (O/F) outperform those in a...

We show that LME's (London Metal Exchange) listed forward contracts can be valued using usual formulas for forward contracts and that LME's listed Options, though legally American, are correctly treated as European Options

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...