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The stochastic behavior of commodity prices with heteroskedasticity in the convenience yield

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  • Liu, Peng
  • Tang, Ke
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Abstract

We document a new stylized fact regarding the dynamics of the commodity convenience yield: the volatility of the convenience yield is heteroskedastic for industrial commodities; specifically, the volatility (variance) of the convenience yield depends on the convenience yield level. To explore the economic and statistical significance of the improved specification of the convenience yield process, we propose an affine model with three state variables (log spot price, interest rate, and the convenience yield). Our model captures three important features of commodity futures--the heteroskedasticity of the convenience yield, the positive relationship between spot-price volatility and the convenience yield and the dependence of futures risk premium on the convenience yield. Moreover our model predicts an upward sloping implied volatility smile, commonly observed in commodity option market.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Empirical Finance.

Volume (Year): 18 (2011)
Issue (Month): 2 (March)
Pages: 211-224

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Handle: RePEc:eee:empfin:v:18:y:2011:i:2:p:211-224

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Web page: http://www.elsevier.com/locate/jempfin

Related research

Keywords: Commodity Convenience yield Heteroskedasticity Affine model Volatility smile;

References

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  1. Gary Gorton & Fumio Hayashi & K. Rouwenhorst, 2007. "The Fundamentals of Commodity Futures Returns," Yale School of Management Working Papers amz2605, Yale School of Management, revised 01 Oct 2008.
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  14. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May.
  15. Tauchen, George E. & Gallant, A. Ronald, 1995. "Which Moments to Match," Working Papers 95-20, Duke University, Department of Economics.
  16. Brown, Stephen J & Dybvig, Philip H, 1986. " The Empirical Implications of the Cox, Ingersoll, Ross Theory of the Term Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 41(3), pages 617-30, July.
  17. Cox, John C. & Ingersoll, Jonathan Jr. & Ross, Stephen A., 1981. "The relation between forward prices and futures prices," Journal of Financial Economics, Elsevier, vol. 9(4), pages 321-346, December.
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Citations

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Cited by:
  1. Suenaga, Hiroaki, 2013. "Measuring bias in a term-structure model of commodity prices through the comparison of simultaneous and sequential estimation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 93(C), pages 53-66.
  2. Mirantes, Andrés García & Población, Javier & Serna, Gregorio, 2013. "The stochastic seasonal behavior of energy commodity convenience yields," Energy Economics, Elsevier, vol. 40(C), pages 155-166.
  3. Aboura, Sofiane & Chevallier, Julien, 2014. "Volatility equicorrelation: A cross-market perspective," Economics Letters, Elsevier, vol. 122(2), pages 289-295.
  4. Yang, Linghubo & Zhang, Dongxiang, 2013. "Can futures price be a powerful predictor? Frequency domain analysis on Chinese commodity market," Economic Modelling, Elsevier, vol. 35(C), pages 264-271.

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