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...

Typically, three types of implied volatility smiles are seen in commodity options: the reverse skew, the smile, and the forward skew. I put forward an economic explanation for all three types of implied volatility smiles based on the idea that a commodity call option is valued in analogy with...

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...

The detrended implied volatility of commodity options (VOL) forecasts the cross section of the commodity futures returns significantly. A zero-cost strategy that is long in low VOL and short in high VOL commodities yields an annualized return of 12.66% and a Sharpe ratio of 0.69. Notably, the...

Using proprietary energy futures position data, we provide evidence that mean hedger profits are negative while speculator (especially hedge fund) profits are positive; that speculators and hedgers who hold long (short) positions when likely hedgers in aggregate are net short (long) have higher...

A new measure of hedging pressure in commodity options markets—commercial hedgers’ net short option exposure—predicts option returns and changes in the slope of implied volatility curves. Puts are more expensive, and calls are cheaper, when values of option hedging pressure are greater....

Since commodity derivatives typically trade by futures (a.k.a. forwards), there is a need to model the dynamics of the forward curve. This article presents a generic multi-factor model for pricing commodity derivatives. Our theoretical results show that commodity prices are driven by multiple...

We derive an option-pricing formula from recursive preference and estimate rare disaster probability. The new options-pricing formula applies to far-out-of-the money put options on the stock market when disaster risk dominates, the size distribution of disasters follows a power law, and the...

We use a series of different approaches to extract information about crash risk from option prices for the Euro-Dollar exchange rate, with each step sharpening the focus on extracting more specific measures of crash risk around dates of ECB measures of Unconventional Monetary Policy. Several...

Replacing equity return (as in the equity risk premium) with returns on an arbitrary contingent claim, we obtain a new class of economic risk premiums to impose upon candidate models. These risk premiums reflect the distance between the physical and risk-neutral moments for asset returns, can be...