IDEAS home Printed from https://ideas.repec.org/p/arx/papers/0712.3537.html
   My bibliography  Save this paper

Arbitrage free cointegrated models in gas and oil future markets

Author

Listed:
  • Gr'egory Benmenzer

    (LJK)

  • Emmanuel Gobet

    (LJK)

  • C'eline J'erusalem

    (LJK)

Abstract

In this article we present a continuous time model for natural gas and crude oil future prices. Its main feature is the possibility to link both energies in the long term and in the short term. For each energy, the future returns are represented as the sum of volatility functions driven by motions. Under the risk neutral probability, the motions of both energies are correlated Brownian motions while under the historical probability, they are cointegrated by a Vectorial Error Correction Model. Our approach is equivalent to defining the market price of risk. This model is free of arbitrage: thus, it can be used for risk management as well for option pricing issues. Calibration on European market data and numerical simulations illustrate well its behavior.

Suggested Citation

  • Gr'egory Benmenzer & Emmanuel Gobet & C'eline J'erusalem, 2007. "Arbitrage free cointegrated models in gas and oil future markets," Papers 0712.3537, arXiv.org.
    • Handle: RePEc:arx:papers:0712.3537
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/0712.3537
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. repec:clg:wpaper:1999-04 is not listed on IDEAS
    2. 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.
    3. repec:dau:papers:123456789/607 is not listed on IDEAS
    4. Apostolos Serletis & John Herbert, 2007. "The Message in North American Energy Prices," World Scientific Book Chapters, in: Quantitative And Empirical Analysis Of Energy Markets, chapter 13, pages 156-171, World Scientific Publishing Co. Pte. Ltd..
    5. Kolos, Sergey P. & Ronn, Ehud I., 2008. "Estimating the commodity market price of risk for energy prices," Energy Economics, Elsevier, vol. 30(2), pages 621-641, March.
    6. Benth, Fred Espen & Cartea, Álvaro & Kiesel, Rüdiger, 2008. "Pricing forward contracts in power markets by the certainty equivalence principle: Explaining the sign of the market risk premium," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2006-2021, October.
    7. 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.
    8. 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.
    9. 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.
    10. De Vany, Arthur S. & Walls, W. David, 1999. "Cointegration analysis of spot electricity prices: insights on transmission efficiency in the western US," Energy Economics, Elsevier, vol. 21(5), pages 435-448, October.
    11. Helyette Geman, 2005. "Commodities and Commodity Derivatives. Modeling and Pricing for Agriculturals, Metals and Energy," Post-Print halshs-00144182, HAL.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. René Aïd & Luciano Campi & Nicolas Langrené & Huyên Pham, 2012. "A probabilistic numerical method for optimal multiple switching problems in high dimension," Working Papers hal-00747229, HAL.
    2. Kato, Kensuke & Nakamura, Nobuhiro, 2023. "Cointegration analysis of hazard rates and CDSs: Applications to pairs trading strategy," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 612(C).
    3. Hendrik Kohrs & Hermann Mühlichen & Benjamin R. Auer & Frank Schuhmacher, 2019. "Pricing and risk of swing contracts in natural gas markets," Review of Derivatives Research, Springer, vol. 22(1), pages 77-167, April.
    4. René Aïd & Luciano Campi & Nicolas Langrené, 2010. "A structural risk-neutral model for pricing and hedging power derivatives," Working Papers hal-00525800, HAL.
    5. Aïd, René & Campi, Luciano & Langrené, Nicolas & Pham, Huyên, 2014. "A probabilistic numerical method for optimal multiple switching problems in high dimension," LSE Research Online Documents on Economics 63011, London School of Economics and Political Science, LSE Library.
    6. Ren'e Aid & Luciano Campi & Nicolas Langren'e & Huy^en Pham, 2012. "A probabilistic numerical method for optimal multiple switching problem and application to investments in electricity generation," Papers 1210.8175, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Asche, Frank & Misund, Bård & Sikveland, Marius, 2013. "The relationship between spot and contract gas prices in Europe," Energy Economics, Elsevier, vol. 38(C), pages 212-217.
    2. Erdős, Péter, 2012. "Have oil and gas prices got separated?," Energy Policy, Elsevier, vol. 49(C), pages 707-718.
    3. Cristina Bencivenga & Giulia Sargenti, 2010. "Crucial relationship among energy commodity prices," Working Papers 5, Doctoral School of Economics, Sapienza University of Rome, revised 2010.
    4. Asche, Frank & Oglend, Atle & Osmundsen, Petter, 2012. "Gas versus oil prices the impact of shale gas," Energy Policy, Elsevier, vol. 47(C), pages 117-124.
    5. Fred Espen Benth & Marco Piccirilli & Tiziano Vargiolu, 2017. "Additive energy forward curves in a Heath-Jarrow-Morton framework," Papers 1709.03310, arXiv.org, revised Jun 2018.
    6. 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.
    7. Dahl, Roy Endre & Ogland, Atle & Osmundsen, Petter & Sikveland, Marius, 2011. "Are oil and natural gas going separate ways in the UK? Cointegration tests with Structural shifts," UiS Working Papers in Economics and Finance 2011/5, University of Stavanger.
    8. Koenig, P., 2012. "The effect of LNG on the rleationship between UK and Continental European natural gas markets," Cambridge Working Papers in Economics 1253, Faculty of Economics, University of Cambridge.
    9. 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.
    10. Ali Jadidzadeh & Mobin Mirzababaei & Apostolos Serletis, 2022. "Oil Prices and the Hydrocarbon Markets: A Review," Energies, MDPI, vol. 15(17), pages 1-9, August.
    11. Dias, José G. & Ramos, Sofia B., 2014. "Energy price dynamics in the U.S. market. Insights from a heterogeneous multi-regime framework," Energy, Elsevier, vol. 68(C), pages 327-336.
    12. Matteo Gardini & Edoardo Santilli, 2023. "A Heath-Jarrow-Morton framework for energy markets: a pragmatic approach," Papers 2305.01485, arXiv.org, revised Nov 2023.
    13. Derek Bunn, Julien Chevallier, Yannick Le Pen, and Benoit Sevi, 2017. "Fundamental and Financial Influences on the Co-movement of Oil and Gas Prices," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    14. Abdullahi Alim & Peter R. Hartley & Yihui Lan, 2018. "Asian Spot Prices for LNG and other Energy Commodities," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1).
    15. Hengyun Ma & Les Oxley & John Gibson, 2008. "Testing for Energy Market Integration in China," Working Papers in Economics 08/12, University of Canterbury, Department of Economics and Finance.
    16. Frank Asche, Atle Oglend, and Petter Osmundsen, 2017. "Modeling UK Natural Gas Prices when Gas Prices Periodically Decouple from the Oil Price," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    17. George Daskalakis, Lazaros Symeonidis, Raphael N. Markellos, 2015. "Electricity futures prices in an emissions constrained economy: Evidence from European power markets," The Energy Journal, International Association for Energy Economics, vol. 0(Number 3).
    18. Asche, Frank & Dahl, Roy Endre & Oglend, Atle, 2013. "Value-at-Risk: Risk assessment for the portfolio of oil and gas producers," UiS Working Papers in Economics and Finance 2013/3, University of Stavanger.
    19. Ramberg, David J. & Henry Chen, Y.H. & Paltsev, Sergey & Parsons, John E., 2017. "The economic viability of gas-to-liquids technology and the crude oil–natural gas price relationship," Energy Economics, Elsevier, vol. 63(C), pages 13-21.
    20. Zied Ftiti & Kais Tissaoui & Sahbi Boubaker, 2022. "On the relationship between oil and gas markets: a new forecasting framework based on a machine learning approach," Annals of Operations Research, Springer, vol. 313(2), pages 915-943, June.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:0712.3537. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.