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...

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...

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....

In commodity and energy markets swing options allow the buyer to hedge against futures price fluctuations and to select its preferred delivery strategy within daily or periodic constraints, possibly fixed by observing quoted futures contracts. In this paper we focus on the natural gas market and...

Price movements in many commodity markets exhibit significant seasonal patterns. In this paper, we study the effects of seasonal volatility on models' option pricing performance. In terms of options pricing, a deterministic seasonal component at the price level can be neglected. In contrast,...

This paper introduces a novel method for pricing commodity index derivatives consistently with market prices of derivatives on single commodities. We discuss the Black, mean-reversion and local volatility pricing models with special attention paid to the parameterization of volatility surfaces....

The article aims to provide an overview of the derivatives market, with a focus on forward and futures contracts. In addition to general concepts, the study explores practical concepts such as daily settlement, margin requirements, basis, and price formation, with current examples from the...

Using a novel comprehensive database of 230 commodity futures that traded between 1871 and 2018, we document that futures prices have on average been set at a discount to future spot prices by about 5%. The historical risk premium is robust across commodity sectors and varies with the state of...

The commodity futures basis—the difference between the first and second futures prices—is known to forecast commodity futures returns, arguably through its relation with the convenience yield. We propose a refined measure of the basis, dubbed the relative basis, which is the difference...