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Price Mean Reversion, Seasonality, and Options Markets

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  • Hart, Chad
  • Lence, Sergio H
  • Hayes, Dermot J.
  • Jin, Na

Abstract

Options on agricultural commodities with maturities exceeding one year seldom trade. One possible reason to explain this lack of trading is that we do not have an accurate option pricing model for products where mean reversion in spot-price levels can be expected. Standard option pricing models assume proportionality between price variance and time to maturity. This proportionality is not a valid assumption for commodities whose supply response brings prices back to production costs. The model proposed here incorporates mean reversion in spot-price levels and includes a correction for seasonality. Mean reversion and seasonality are both observed in the soybean market. The empirical analysis lends strong support to the model.

Suggested Citation

  • Hart, Chad & Lence, Sergio H & Hayes, Dermot J. & Jin, Na, 2015. "Price Mean Reversion, Seasonality, and Options Markets," ISU General Staff Papers 201508170700001577, Iowa State University, Department of Economics.
    • Handle: RePEc:isu:genstf:201508170700001577
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    1. Lo, Andrew W & Wang, Jiang, 1995. "Implementing Option Pricing Models When Asset Returns Are Predictable," Journal of Finance, American Finance Association, vol. 50(1), pages 87-129, March.
    2. Anders B. Trolle & Eduardo S. Schwartz, 2009. "Unspanned Stochastic Volatility and the Pricing of Commodity Derivatives," The Review of Financial Studies, Society for Financial Studies, vol. 22(11), pages 4423-4461, November.
    3. Williams,Jeffrey C. & Wright,Brian D., 2005. "Storage and Commodity Markets," Cambridge Books, Cambridge University Press, number 9780521023399, October.
    4. Bessembinder, Hendrik, et al, 1995. "Mean Reversion in Equilibrium Asset Prices: Evidence from the Futures Term Structure," Journal of Finance, American Finance Association, vol. 50(1), pages 361-375, March.
    5. Plato, Gerald, 1985. "Valuing American Options on Commodity Futures Contracts," Journal of Agricultural Economics Research, United States Department of Agriculture, Economic Research Service, vol. 37(2), pages 1-14.
    6. Hyun Seok Kim & B. Wade Brorsen & Kim B. Anderson, 2010. "Profit Margin Hedging," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 92(3), pages 638-653.
    7. Angus Deaton & Guy Laroque, 1992. "On the Behaviour of Commodity Prices," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(1), pages 1-23.
    8. Pierre Collin‐Dufresne & Robert S. Goldstein & Christopher S. Jones, 2008. "Identification of Maximal Affine Term Structure Models," Journal of Finance, American Finance Association, vol. 63(2), pages 743-795, April.
    9. Schwartz, Eduardo S, 1997. "The Stochastic Behavior of Commodity Prices: Implications for Valuation and Hedging," Journal of Finance, American Finance Association, vol. 52(3), pages 923-973, July.
    10. Dwight R. Sanders & Scott H. Irwin, 2012. "A Reappraisal of Investing in Commodity Futures Markets," Applied Economic Perspectives and Policy, Agricultural and Applied Economics Association, vol. 34(3), pages 515-530.
    11. Jaime Casassus & Pierre Collin‐Dufresne, 2005. "Stochastic Convenience Yield Implied from Commodity Futures and Interest Rates," Journal of Finance, American Finance Association, vol. 60(5), pages 2283-2331, October.
    12. Steen Koekebakker & Gudbrand Lien, 2004. "Volatility and Price Jumps in Agricultural Futures Prices—Evidence from Wheat Options," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(4), pages 1018-1031.
    13. Richter, Martin & Sørensen, Carsten, 2002. "Stochastic Volatility and Seasonality in Commodity Futures and Options: The Case of Soybeans," Working Papers 2002-4, Copenhagen Business School, Department of Finance.
    14. Dabin Wang & William G. Tomek, 2007. "Commodity Prices and Unit Root Tests," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(4), pages 873-889.
    15. M. T. Allen & C. K. Ma & R. D. Pace, 1994. "Over‐Reactions In Us Agricultural Commodity Prices," Journal of Agricultural Economics, Wiley Blackwell, vol. 45(2), pages 240-251, May.
    16. Sergio H. Lence & Hervé G. Ott & Chad E. Hart, 2013. "Long‐term Futures Curves and Seasonal Structures of Wheat in the European Union and the United States," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(12), pages 1118-1142, December.
    17. Scott H. Irwin & Carl R. Zulauf & Thomas E. Jackson, 1996. "Monte Carlo Analysis of Mean Reversion in Commodity Futures Prices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(2), pages 387-399.
    18. Thorsten M. Egelkraut & Philip Garcia & Bruce J. Sherrick, 2007. "The Term Structure of Implied Forward Volatility: Recovery and Informational Content in the Corn Options Market," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(1), pages 1-11.
    19. Richard L. Peterson & Christopher K. Ma & Robert J. Ritchey, 1992. "Dependence in commodity prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 12(4), pages 429-446, August.
    20. Darrell Duffie & Jun Pan & Kenneth Singleton, 2000. "Transform Analysis and Asset Pricing for Affine Jump-Diffusions," Econometrica, Econometric Society, vol. 68(6), pages 1343-1376, November.
    21. Na Jin & Sergio Lence & Chad Hart & Dermot Hayes, 2012. "The Long-Term Structure of Commodity Futures," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(3), pages 718-735.
    22. Miltersen, Kristian R. & Schwartz, Eduardo S., 1998. "Pricing of Options on Commodity Futures with Stochastic Term Structures of Convenience Yields and Interest Rates," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 33-59, March.
    23. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    24. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    25. Hilliard, Jimmy E. & Reis, Jorge, 1998. "Valuation of Commodity Futures and Options under Stochastic Convenience Yields, Interest Rates, and Jump Diffusions in the Spot," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(1), pages 61-86, March.
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    2. Joshua G. Maples & B. Wade Brorsen, 2022. "Handling the discontinuity in futures prices when time series modeling of commodity cash and futures prices," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 70(2), pages 139-152, June.
    3. Peter Slade, 2021. "The impact of price hedging on subsidized insurance: Evidence from Canada," Canadian Journal of Agricultural Economics/Revue canadienne d'agroeconomie, Canadian Agricultural Economics Society/Societe canadienne d'agroeconomie, vol. 69(4), pages 447-464, December.
    4. Eoin McGuirk & Marshall Burke, 2020. "The Economic Origins of Conflict in Africa," Journal of Political Economy, University of Chicago Press, vol. 128(10), pages 3940-3997.
    5. Chih-Chen Hsu & An-Sing Chen & Shih-Kuei Lin & Ting-Fu Chen, 2017. "The affine styled-facts price dynamics for the natural gas: evidence from daily returns and option prices," Review of Quantitative Finance and Accounting, Springer, vol. 48(3), pages 819-848, April.

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