Nber Working Paper Series Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives

نویسندگان

  • Anders B. Trolle
  • Eduardo S. Schwartz
چکیده

The views expressed herein are those of the author(s) and do not necessarily reflect the views of the National Bureau of Economic Research. ABSTRACT We conduct a comprehensive analysis of unspanned stochastic volatility in commodity markets in general and the crude-oil market in particular. We present model-free results that strongly suggest the presence of unspanned stochastic volatility in the crude-oil market. We then develop a tractable model for pricing commodity derivatives in the presence of unspanned stochastic volatility. The model features correlations between innovations to futures prices and volatility, quasi-analytical prices of options on futures and futures curve dynamics in terms of a low-dimensional affine state vector. The model performs well when estimated on an extensive panel data set of crude-oil futures and options.

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تاریخ انتشار 2006