Integrating Multiple Commodities in a Model of Stochastic Price Dynamics

Raphael Paschke and Marcel Prokopczuk ()

MPRA Paper from University Library of Munich, Germany

Abstract: In this paper we develop a multi-factor model for the joint dynamics of related commodity spot prices in continuous time. We contribute to the existing literature by simultaneously considering various commodity markets in a single, consistent model. In an application we show the economic significance of our approach. We assume that the spot price processes can be characterized by the weighted sum of latent factors. Employing an essentially-affine model structure allows for rich dependencies among the latent factors and thus, the commodity prices. The co-integrated behavior between the different spot price dynamics is explicitly taken into account. Within this framework we derive closed-form solutions of futures prices. The Kalman Filter methodology is applied to estimate the model for crude oil, heating oil and gasoline futures contracts traded on the NYMEX. Empirically, we are able to identify a common non-stationary equilibrium factor driving the long-term price behavior and stationary factors affecting all three markets in a common way. Additionally, we identify factors which only impact subsets of the commodities considered. To demonstrate the economic consequences of our integrated approach, we evaluate the investment into a refinery from a financial management perspective and compare the results with an approach neglecting the co-movement of prices. This negligence leads to radical changes in the project's assessment.

Keywords: Commodities; Integrated Model; Crude Oil; Heating Oil; Gasoline; Futures; Kalman Filter (search for similar items in EconPapers)
JEL-codes: C50 G13 Q40 (search for similar items in EconPapers)
Date: 2007-10-23
New Economics Papers: this item is included in nep-ene
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (12)

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