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The affine styled-facts price dynamics for the natural gas: evidence from daily returns and option prices

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  • Chih-Chen Hsu

    (Feng Chia University)

  • An-Sing Chen

    (National Chung Cheng University)

  • Shih-Kuei Lin

    (National Chengchi University)

  • Ting-Fu Chen

    (National Chengchi University)

Abstract

This study analyzes affine styled-facts price dynamics of Henry Hub natural gas price by incorporating the price features of jump risk, and seasonality within stochastic volatility framework. Affine styled-facts dynamics has the advantage of being able to incorporate mean reversion (MR), stochastic volatility (SV), seasonality trends (S), and jump diffusion (J) in a standardized inclusive framework. Our main finding is that models that incorporate jumps significantly improve overall out-of-sample option pricing performance. The combined MRSVJS model provides the best fit of both daily gas price returns and the related cross section of option prices. Incorporating seasonal effects tend to provide more stable pricing ability, especially for the long-term option contracts.

Suggested Citation

  • 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.
  • Handle: RePEc:kap:rqfnac:v:48:y:2017:i:3:d:10.1007_s11156-016-0569-x
    DOI: 10.1007/s11156-016-0569-x
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    as
    1. Jow-Ran Chang & Mao-Wei Hung & Cheng Few Lee & Hsin-Min Lu, 2020. "The Jump Behavior of a Foreign Exchange Market: Analysis of the Thai Baht," World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 52, pages 1943-1968, World Scientific Publishing Co. Pte. Ltd..
    2. William Lin & Chang-Wen Duan, 2007. "Oil convenience yields estimated under demand/supply shock," Review of Quantitative Finance and Accounting, Springer, vol. 28(2), pages 203-225, February.
    3. Alexandra Chronopoulou & Frederi G. Viens, 2012. "Stochastic volatility and option pricing with long-memory in discrete and continuous time," Quantitative Finance, Taylor & Francis Journals, vol. 12(4), pages 635-649, December.
    4. Peter M Robinson, 2001. "The Memory of Stochastic Volatility Models," STICERD - Econometrics Paper Series 410, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    5. Ren Raw Chen & Cheng Few Lee & Han-Hsing Lee, 2020. "Empirical Performance of the Constant Elasticity Variance Option Pricing Model," World Scientific Book Chapters, in: Cheng Few Lee & John C Lee (ed.), HANDBOOK OF FINANCIAL ECONOMETRICS, MATHEMATICS, STATISTICS, AND MACHINE LEARNING, chapter 51, pages 1903-1942, World Scientific Publishing Co. Pte. Ltd..
    6. Adam Schmitz & Zhiguang Wang & Jung‐Han Kimn, 2014. "A Jump Diffusion Model for Agricultural Commodities with Bayesian Analysis," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 34(3), pages 235-260, March.
    7. Alvaro Cartea & Marcelo Figueroa, 2005. "Pricing in Electricity Markets: A Mean Reverting Jump Diffusion Model with Seasonality," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(4), pages 313-335.
    8. Cartea, Álvaro & Williams, Thomas, 2008. "UK gas markets: The market price of risk and applications to multiple interruptible supply contracts," Energy Economics, Elsevier, vol. 30(3), pages 829-846, May.
    9. Klaus Mayer & Thomas Schmid & Florian Weber, 2015. "Modeling electricity spot prices: combining mean reversion, spikes, and stochastic volatility," The European Journal of Finance, Taylor & Francis Journals, vol. 21(4), pages 292-315, March.
    10. 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.
    11. Hobæk Haff, Ingrid & Lindqvist, Ola & Løland, Anders, 2008. "Risk premium in the UK natural gas forward market," Energy Economics, Elsevier, vol. 30(5), pages 2420-2440, September.
    12. Hiroaki Suenaga & Aaron Smith & Jeffrey Williams, 2008. "Volatility dynamics of NYMEX natural gas futures prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 28(5), pages 438-463, May.
    13. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 1997. "Empirical Performance of Alternative Option Pricing Models," Journal of Finance, American Finance Association, vol. 52(5), pages 2003-2049, December.
    14. 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.
    15. Sunil Mohanty & Aigbe Akhigbe & Tawfeek Al-Khyal & Turki Bugshan, 2013. "Oil and stock market activity when prices go up and down: the case of the oil and gas industry," Review of Quantitative Finance and Accounting, Springer, vol. 41(2), pages 253-272, August.
    16. Jerry Coakley & Jian Dollery & Neil Kellard, 2011. "Long memory and structural breaks in commodity futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(11), pages 1076-1113, November.
    17. Chris Brooks & Marcel Prokopczuk, 2013. "The dynamics of commodity prices," Quantitative Finance, Taylor & Francis Journals, vol. 13(4), pages 527-542, March.
    18. Bjørn Eraker, 2004. "Do Stock Prices and Volatility Jump? Reconciling Evidence from Spot and Option Prices," Journal of Finance, American Finance Association, vol. 59(3), pages 1367-1404, June.
    19. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    20. 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.
    21. Vo, Minh T., 2009. "Regime-switching stochastic volatility: Evidence from the crude oil market," Energy Economics, Elsevier, vol. 31(5), pages 779-788, September.
    22. Ke Tang, 2012. "Time-varying long-run mean of commodity prices and the modeling of futures term structures," Quantitative Finance, Taylor & Francis Journals, vol. 12(5), pages 781-790, April.
    23. Peter Christoffersen & Kris Jacobs & Karim Mimouni, 2010. "Volatility Dynamics for the S&P500: Evidence from Realized Volatility, Daily Returns, and Option Prices," Review of Financial Studies, Society for Financial Studies, vol. 23(8), pages 3141-3189, August.
    24. Bunn, Derek W. & Chen, Dipeng, 2013. "The forward premium in electricity futures," Journal of Empirical Finance, Elsevier, vol. 23(C), pages 173-186.
    25. 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.
    26. Helyette Geman & A. Roncoroni, 2006. "Understanding the Fine Structure of Electricity Prices," Post-Print halshs-00144198, HAL.
    27. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    28. Arismendi, Juan C. & Back, Janis & Prokopczuk, Marcel & Paschke, Raphael & Rudolf, Markus, 2016. "Seasonal Stochastic Volatility: Implications for the pricing of commodity options," Journal of Banking & Finance, Elsevier, vol. 66(C), pages 53-65.
    29. repec:dau:papers:123456789/1433 is not listed on IDEAS
    30. Larsson, Karl & Nossman, Marcus, 2011. "Jumps and stochastic volatility in oil prices: Time series evidence," Energy Economics, Elsevier, vol. 33(3), pages 504-514, May.
    31. Diewald, Laszlo & Prokopczuk, Marcel & Wese Simen, Chardin, 2015. "Time-variations in commodity price jumps," Journal of Empirical Finance, Elsevier, vol. 31(C), pages 72-84.
    32. E. Benhamou & E. Gobet & M. Miri, 2012. "Analytical formulas for a local volatility model with stochastic rates," Quantitative Finance, Taylor & Francis Journals, vol. 12(2), pages 185-198, September.
    33. Hélyette Geman & Andrea Roncoroni, 2006. "Understanding the Fine Structure of Electricity Prices," The Journal of Business, University of Chicago Press, vol. 79(3), pages 1225-1262, May.
    34. Julien Chevallier & Florian Ielpo, 2014. "Twenty years of jumps in commodity markets," International Review of Applied Economics, Taylor & Francis Journals, vol. 28(1), pages 64-82, January.
    35. Jungho Baek & Ji-Yong Seo, 2015. "A Study on Unobserved Structural Innovations of Oil Price: Evidence from Global Stock, Bond, Foreign Exchange, and Energy Markets," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 18(01), pages 1-17.
    36. Rafal Weron, 2006. "Modeling and Forecasting Electricity Loads and Prices: A Statistical Approach," HSC Books, Hugo Steinhaus Center, Wroclaw University of Technology, number hsbook0601.
    37. F. Comte & L. Coutin & E. Renault, 2012. "Affine fractional stochastic volatility models," Annals of Finance, Springer, vol. 8(2), pages 337-378, May.
    38. Robinson, P. M., 2001. "The memory of stochastic volatility models," Journal of Econometrics, Elsevier, vol. 101(2), pages 195-218, April.
    39. Samuel Hikspoors & Sebastian Jaimungal, 2008. "Asymptotic Pricing of Commodity Derivatives using Stochastic Volatility Spot Models," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(5-6), pages 449-477.
    40. 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.
    41. Xuemin Yan, 2002. "Valuation of commodity derivatives in a new multi-factor model," Review of Derivatives Research, Springer, vol. 5(3), pages 251-271, October.
    42. Yuewen Xiao & David B. Colwell & Ramaprasad Bhar, 2015. "Risk Premium in Electricity Prices: Evidence from the PJM Market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 35(8), pages 776-793, August.
    43. Neil A. Wilmot and Charles F. Mason, 2013. "Jump Processes in the Market for Crude Oil," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1).
    44. Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
    45. Gibson, Rajna & Schwartz, Eduardo S, 1990. "Stochastic Convenience Yield and the Pricing of Oil Contingent Claims," Journal of Finance, American Finance Association, vol. 45(3), pages 959-976, July.
    46. Mark Broadie & Mikhail Chernov & Michael Johannes, 2007. "Model Specification and Risk Premia: Evidence from Futures Options," Journal of Finance, American Finance Association, vol. 62(3), pages 1453-1490, June.
    47. So, Mike K P & Lam, K & Li, W K, 1998. "A Stochastic Volatility Model with Markov Switching," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(2), pages 244-253, April.
    48. Robinson, Peter M., 2001. "The memory of stochastic volatility models," LSE Research Online Documents on Economics 2298, London School of Economics and Political Science, LSE Library.
    49. 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.
    50. 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.
    51. Robert S. Pindyck, 2001. "The Dynamics of Commodity Spot and Futures Markets: A Primer," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3), pages 1-30.
    52. Lordkipanidze, Nasibrola & Tomek, William, 2014. "Pricing of Options with STochastic Volatilities: Application to Agricultural Commodity Contracts," Staff Papers 189185, Cornell University, Department of Applied Economics and Management.
    53. Wong, Hoi Ying & Lo, Yu Wai, 2009. "Option pricing with mean reversion and stochastic volatility," European Journal of Operational Research, Elsevier, vol. 197(1), pages 179-187, August.
    54. Thomas Volmer, 2011. "A robust model of the convenience yield in the natural gas market," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(11), pages 1011-1051, November.
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    More about this item

    Keywords

    Affine styled-facts price dynamics; Mean reversion; Seasonality; Jump risk; Natural gas options;
    All these keywords.

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • Q02 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - General - - - Commodity Market

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