Convenience yield in commodity price modeling: A regime switching approach

This paper attempts to model the futures term structures of crude oil and natural gas using the notion of convenience yield in a regime switching framework. Unlike the existing studies, which assume the convenience yield to have either a constant value or to have a stochastic behavior with mean reversion to one equilibrium level, the model of this paper extends the Gibson and Schwartz (1990) model to allow for regime switching in the convenience yield along with the other parameters. A closed form solution for the futures price is derived and the model parameters are estimated using the maximum likelihood method. The results show that the estimated regimes are very close to the contango and backwardation regimes commonly seen in futures markets. The results also show that the transitional probabilities play an important role in shaping the futures term structure implied by the model.

[1]  Eduardo S. Schwartz,et al.  Theory of Storage and the Pricing of Commodity Claims , 2004 .

[2]  Eduardo S. Schwartz,et al.  Evaluating Natural Resource Investments , 1985 .

[3]  Dwight R. Sanders,et al.  Index Funds, Financialization, and Commodity Futures Markets , 2011 .

[4]  K. Singleton,et al.  Regime shifts in a dynamic term structure model of U.S. Treasury bond yields , 2007 .

[5]  Shan Chen.  Modelling the dynamics of commodity prices for investment decisions under uncertainty , 2010 .

[6]  Peng Liu,et al.  The Stochastic Behavior of Commodity Prices with Heteroskedasticity in the Convenience Yield , 2008 .

[7]  Lea Bl.  Power Prices - A Regime-Switching Spot/Forward Price Model with Kim Filter Estimation , 2008 .

[8]  James D. Hamilton,et al.  Understanding Crude Oil Prices , 2008 .

[9]  P. Collin‐Dufresne,et al.  Stochastic Convenience Yield Implied from Commodity Futures and Interest Rates , 2005 .

[10]  Peter A. Forsyth,et al.  Implications of a regime-switching model on natural gas storage valuation and optimal operation , 2010 .

[11]  Zhiyong Xu.  Stochastic models for gas prices , 2004 .

[12]  Eduardo S. Schwartz.  The stochastic behavior of commodity prices: Implications for valuation and hedging , 1997 .

[13]  Hao Zhou,et al.  Term Structure of Interest Rates with Regime Shifts , 2001 .

[14]  Mark Trede,et al.  Speculative bubbles in recent oil price dynamics: Evidence from a Bayesian Markov-switching state-space approach , 2012 .

[15]  R. Pindyck.  The Dynamics of Commodity Spot and Futures Markets: A Primer , 2001 .

[16]  Bryan R. Routledge,et al.  Equilibrium Commodity Prices with Irreversible Investment and Non-Linear Technologies , 2005, Journal of Banking & Finance.

[17]  Fumio Hayashi,et al.  The Fundamentals of Commodity Futures Returns , 2007 .

[18]  James D. Hamilton.  A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle , 1989 .

[19]  Eduardo S. Schwartz,et al.  Stochastic Convenience Yield and the Pricing of Oil Contingent Claims , 1990 .

[20]  Commodity convenience yield and risk premium determination: The case of the U.S. natural gas market , 2006 .

[21]  Andrew Harvey,et al.  Forecasting, Structural Time Series Models and the Kalman Filter , 1990 .

[22]  Mine K. Yücel,et al.  What Drives Natural Gas Prices? , 2008 .

[23]  Modelling and Estimating the Forward Price Curve in the Energy Market , 2009 .

[24]  A. G. Mirantes,et al.  The stochastic seasonal behavior of energy commodity convenience yields , 2013 .

[25]  W. Fong,et al.  Basis variations and regime shifts in the oil futures market , 2003 .

[26]  T. Björk.  Arbitrage Theory in Continuous Time , 2019 .

[27]  Eduardo S. Schwartz,et al.  Short-Term Variations and Long-Term Dynamics in Commodity Prices , 2000 .

[28]  R. Litzenberger,et al.  Backwardation in Oil Futures Markets: Theory and Empirical Evidence , 1995 .

[29]  Time-varying long-run mean of commodity prices and the modeling of futures term structures , 2012 .

[30]  Amir H. Alizadeh,et al.  A Markov regime switching approach for hedging energy commodities , 2008 .