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Volatility and Price Jumps in Agricultural Futures Prices—Evidence from Wheat Options

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  • Steen Koekebakker
  • Gudbrand Lien

Abstract

Evidence suggests that agricultural futures price movements have fat-tailed distributions and exhibit sudden and unexpected price jumps. There is also evidence that the volatility of futures prices is time-dependent both as a function of calendar-time (seasonal effect) and time to maturity (maturity effect). This article extends Bates' (1991) jump-diffusion option pricing model by including both seasonal and maturity effects in the volatility specification. Both in-sample and out-of-sample procedures to fit market option prices on wheat futures show that the suggested model outperforms previous published models. A numerical example shows the magnitude of pricing errors for option valuation. Copyright 2004, Oxford University Press.

Suggested Citation

  • 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.
  • Handle: RePEc:oup:ajagec:v:86:y:2004:i:4:p:1018-1031
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    File URL: http://hdl.handle.net/10.1111/j.0002-9092.2004.00650.x
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    1. repec:oup:erevae:v:45:y:2018:i:1:p:121-142. is not listed on IDEAS
    2. Musshoff, Oliver & Hirschauer, Norbert, 2007. "What benefits are to be derived from improved farm program planning approaches? - The role of time series models and stochastic optimization," Agricultural Systems, Elsevier, vol. 95(1-3), pages 11-27, December.
    3. Chad E. Hart & Sergio H. Lence & Dermot J. Hayes & Na Jin, 2016. "Price Mean Reversion, Seasonality, and Options Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 98(3), pages 707-725.
    4. Chang, Chia-Lin & Huang, Biing-Wen & Chen, Meng-Gu & McAleer, Michael, 2011. "Modelling the asymmetric volatility in hog prices in Taiwan: The impact of joining the WTO," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(7), pages 1491-1506.
    5. Wang, Nanying & Houston, Jack E., 2015. "The Co-movement between Non-GM and GM Soybean Price in China: Evidence from China Futures Market," 2015 Conference, August 9-14, 2015, Milan, Italy 211914, International Association of Agricultural Economists.
    6. Back, Janis & Prokopczuk, Marcel & Rudolf, Markus, 2013. "Seasonality and the valuation of commodity options," Journal of Banking & Finance, Elsevier, vol. 37(2), pages 273-290.
    7. Chen, Gang & Roberts, Matthew C. & Roe, Brian E., 2005. "Forecasting Livestock Feed Cost Risks Using Futures and Options," 2005 Conference, April 18-19, 2005, St. Louis, Missouri 19048, NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    8. Lee, Yoonsuk & Brorsen, B. Wade, 2012. "Impacts of Permanent and Transitory Shocks on Optimal Length of Moving Average to Predict Wheat Basis," 2012 Annual Meeting, August 12-14, 2012, Seattle, Washington 125001, Agricultural and Applied Economics Association.
    9. Nanying Wang & Jack E. Houston, 2016. "The Co-Movement between Non-GM and GM Soybean Prices in China: Evidence from Dalian Futures Market (2004-2014)," Applied Economics and Finance, Redfame publishing, vol. 3(4), pages 37-47, November.
    10. Benth, Fred Espen & Koekebakker, Steen, 2008. "Stochastic modeling of financial electricity contracts," Energy Economics, Elsevier, vol. 30(3), pages 1116-1157, May.
    11. Huang, Wen & Huang, Zhuo & Matei, Marius & Wang, Tianyi, 2012. "Price Volatility Forecast for Agricultural Commodity Futures: The Role of High Frequency Data," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(4), pages 83-103, December.
    12. Wang, Nanying & Houston, Jack, 2015. "The Comovement between Non-GM and GM Soybean Price in China: Evidence from Dalian Futures Market," 2015 Annual Meeting, January 31-February 3, 2015, Atlanta, Georgia 196775, Southern Agricultural Economics Association.
    13. Musshoff, Oliver & Hirschauer, Norbert, 2008. "Sophisticated Program Planning Approaches Generate Large Benefits in High Risk Crop Farming," 82nd Annual Conference, March 31 - April 2, 2008, Royal Agricultural College, Cirencester, UK 36865, Agricultural Economics Society.
    14. Chen, Gang & Roberts, Matthew C. & Roe, Brian E., 2005. "Managing Livestock Feed Cost Risks Using Futures and Options," 2005 Annual meeting, July 24-27, Providence, RI 19399, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    15. Fusai, Gianluca & Marena, Marina & Roncoroni, Andrea, 2008. "Analytical pricing of discretely monitored Asian-style options: Theory and application to commodity markets," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2033-2045, October.
    16. Roberto Andreotti Bodra & Afonso De Campos Pint, 2014. "Modelo De Volatilidade Estocástica Com Saltos Aplicado A Commodities Agrícolas," Anais do XLI Encontro Nacional de Economia [Proceedings of the 41st Brazilian Economics Meeting] 142, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    17. Xiaoliang Liu & Guenther Filler & Martin Odening, 2013. "Testing for speculative bubbles in agricultural commodity prices: a regime switching approach," Agricultural Finance Review, Emerald Group Publishing, vol. 73(1), pages 179-200, May.
    18. Wu, Feng & Myers, Robert J. & Guan, Zhengfei & Wang, Zhiguang, 2015. "Risk-adjusted implied volatility and its performance in forecasting realized volatility in corn futures prices," Journal of Empirical Finance, Elsevier, vol. 34(C), pages 260-274.
    19. Huang, Biing-Wen & Chen, Meng-Gu & Chang, Chia-Lin & McAleer, Michael, 2009. "Modelling risk in agricultural finance: Application to the poultry industry in Taiwan," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1472-1487.
    20. Chang, C-L. & Huang, B-W. & Chen, M-G., 2010. "Modelling the Asymmetric Volatility in Hog Prices in Taiwan," Econometric Institute Research Papers EI 2010-46, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    21. Chen, Gang & Roberts, Matthew C. & Roe, Brian E., 2005. "Empirical Performance of Alternative Option Pricing Models for Commodity Futures Options," 2005 Annual meeting, July 24-27, Providence, RI 19183, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).

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