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A Heath-Jarrow-Morton framework for energy markets: a pragmatic approach

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  • Matteo Gardini
  • Edoardo Santilli

Abstract

In this article we discuss the application of the Heath-Jarrow-Morton framework Heath et al. [26] to energy markets. The goal of the article is to give a detailed overview of the topic, focusing on practical aspects rather than on theory, which has been widely studied in literature. This work aims to be a guide for practitioners and for all those who deal with the practical issues of this approach to energy market. In particular, we focus on the markets' structure, model calibration by dimension reduction with Principal Component Analysis (PCA), Monte Carlo simulations and derivatives pricing. As application, we focus on European power and gas markets: we calibrate the model on historical futures quotations, we perform futures and spot simulations and we analyze the results.

Suggested Citation

  • Matteo Gardini & Edoardo Santilli, 2023. "A Heath-Jarrow-Morton framework for energy markets: a pragmatic approach," Papers 2305.01485, arXiv.org, revised Nov 2023.
    • Handle: RePEc:arx:papers:2305.01485
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    References listed on IDEAS

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    1. Olivier Feron & Pierre Gruet, 2020. "Estimation of the number of factors in a multi-factorial Heath-Jarrow-Morton model in electricity markets," Working Papers hal-02880824, HAL.
    2. Eduardo Schwartz & James E. Smith, 2000. "Short-Term Variations and Long-Term Dynamics in Commodity Prices," Management Science, INFORMS, vol. 46(7), pages 893-911, July.
    3. Piccirilli, Marco & Schmeck, Maren Diane & Vargiolu, Tiziano, 2021. "Capturing the power options smile by an additive two-factor model for overlapping futures prices," Energy Economics, Elsevier, vol. 95(C).
    4. Kiesel, Rüdiger & Kusterman, Michael, 2016. "Structural models for coupled electricity markets," Journal of Commodity Markets, Elsevier, vol. 3(1), pages 16-38.
    5. Fred Espen Benth & Jūratė Šaltytė Benth & Steen Koekebakker, 2008. "Stochastic Modeling of Electricity and Related Markets," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 6811, August.
    6. 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.
    7. Panagiotidis, Theodore & Rutledge, Emilie, 2007. "Oil and gas markets in the UK: Evidence from a cointegrating approach," Energy Economics, Elsevier, vol. 29(2), pages 329-347, March.
    8. 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.
    9. Bates, David S, 1996. "Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Deutsche Mark Options," The Review of Financial Studies, Society for Financial Studies, vol. 9(1), pages 69-107.
    10. Gary W. Emery & Qingfeng (Wilson) Liu, 2002. "An analysis of the relationship between electricity and natural‐gas futures prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 22(2), pages 95-122, February.
    11. repec:dau:papers:123456789/607 is not listed on IDEAS
    12. Mjelde, James W. & Bessler, David A., 2009. "Market integration among electricity markets and their major fuel source markets," Energy Economics, Elsevier, vol. 31(3), pages 482-491, May.
    13. Fred ESPEN Benth & Jurate saltyte Benth, 2007. "The volatility of temperature and pricing of weather derivatives," Quantitative Finance, Taylor & Francis Journals, vol. 7(5), pages 553-561.
    14. David Heath & Robert Jarrow & Andrew Morton, 2008. "Bond Pricing And The Term Structure Of Interest Rates: A New Methodology For Contingent Claims Valuation," World Scientific Book Chapters, in: Financial Derivatives Pricing Selected Works of Robert Jarrow, chapter 13, pages 277-305, World Scientific Publishing Co. Pte. Ltd..
    15. W.J. Hinderks & R. Korn & A. Wagner, 2020. "A structural Heath–Jarrow–Morton framework for consistent intraday spot and futures electricity prices," Quantitative Finance, Taylor & Francis Journals, vol. 20(3), pages 347-357, March.
    16. Rudiger Kiesel & Gero Schindlmayr & Reik Borger, 2009. "A two-factor model for the electricity forward market," Quantitative Finance, Taylor & Francis Journals, vol. 9(3), pages 279-287.
    17. Heston, Steven L, 1993. "A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options," The Review of Financial Studies, Society for Financial Studies, vol. 6(2), pages 327-343.
    18. Lance J. Bachmeier & James M. Griffin, 2006. "Testing for Market Integration: Crude Oil, Coal, and Natural Gas," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 55-72.
    19. Bruno Bosco & Lucia Parisio & Matteo Pelagatti & Fabio Baldi, 2010. "Long-run relations in european electricity prices," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(5), pages 805-832.
    20. Frank Asche & Petter Osmundsen & Maria Sandsmark, 2006. "The UK Market for Natural Gas, Oil and Electricity: Are the Prices Decoupled?," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2), pages 27-40.
    21. Park, Haesun & Mjelde, James W. & Bessler, David A., 2006. "Price dynamics among U.S. electricity spot markets," Energy Economics, Elsevier, vol. 28(1), pages 81-101, January.
    22. 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.
    23. Helyette Geman, 2005. "Commodities and Commodity Derivatives. Modeling and Pricing for Agriculturals, Metals and Energy," Post-Print halshs-00144182, HAL.
    24. Boris Buchmann & Kevin W. Lu & Dilip B. Madan, 2019. "Calibration for Weak Variance-Alpha-Gamma Processes," Methodology and Computing in Applied Probability, Springer, vol. 21(4), pages 1151-1164, December.
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