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A note on arbitrage-free pricing of forward contracts in energy markets

Author

Listed:
  • Fred Espen Benth
  • Lars Ekeland
  • Ragnar Hauge
  • BjøRn Fredrik Nielsen

Abstract

Arbitrage theory is used to price forward (futures) contracts in energy markets, where the underlying assets are non-tradeable. The method is based on the so-called 'fitting of the yield curve' technique from interest rate theory. The spot price dynamics of Schwartz is generalized to multidimensional correlated stochastic processes with Wiener and Levy noise. Findings are illustrated with examples from oil and electricity markets.

Suggested Citation

  • Fred Espen Benth & Lars Ekeland & Ragnar Hauge & BjøRn Fredrik Nielsen, 2003. "A note on arbitrage-free pricing of forward contracts in energy markets," Applied Mathematical Finance, Taylor & Francis Journals, vol. 10(4), pages 325-336.
    • Handle: RePEc:taf:apmtfi:v:10:y:2003:i:4:p:325-336
    DOI: 10.1080/1350486032000160777
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    Citations

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    Cited by:

    1. Brix, Anne Floor & Lunde, Asger & Wei, Wei, 2018. "A generalized Schwartz model for energy spot prices — Estimation using a particle MCMC method," Energy Economics, Elsevier, vol. 72(C), pages 560-582.
    2. Deschatre, Thomas & Féron, Olivier & Gruet, Pierre, 2021. "A survey of electricity spot and futures price models for risk management applications," Energy Economics, Elsevier, vol. 102(C).
    3. Benth, Fred Espen & Koekebakker, Steen, 2008. "Stochastic modeling of financial electricity contracts," Energy Economics, Elsevier, vol. 30(3), pages 1116-1157, May.
    4. Fred Espen Benth & Jurate Saltyte-Benth, 2005. "Stochastic Modelling of Temperature Variations with a View Towards Weather Derivatives," Applied Mathematical Finance, Taylor & Francis Journals, vol. 12(1), pages 53-85.
    5. 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.
    6. Fred Espen Benth & Paul Kettler, 2010. "Dynamic copula models for the spark spread," Quantitative Finance, Taylor & Francis Journals, vol. 11(3), pages 407-421.
    7. Kurucak, Abdurrahman & Shcherbakova, Anastasia, 2016. "Estimating the hedging value of an energy exchange in Turkey to a retail power consumer," Energy, Elsevier, vol. 101(C), pages 16-26.
    8. René Aïd & Luciano Campi & Nicolas Langrené, 2010. "A structural risk-neutral model for pricing and hedging power derivatives," Working Papers hal-00525800, HAL.
    9. Tsitakis, D. & Xanthopoulos, S. & Yannacopoulos, A.N., 2006. "A closed-form solution for the price of cross-commodity electricity derivatives," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 371(2), pages 543-551.
    10. 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.
    11. Erlwein, Christina & Benth, Fred Espen & Mamon, Rogemar, 2010. "HMM filtering and parameter estimation of an electricity spot price model," Energy Economics, Elsevier, vol. 32(5), pages 1034-1043, September.
    12. Niall Farrell, Mel T. Devine, William T. Lee, James P. Gleeson, and Sean Lyons, 2017. "Specifying An Efficient Renewable Energy Feed-in Tariff," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).
    13. Ballester, Cristina & Furió, Dolores, 2015. "Effects of renewables on the stylized facts of electricity prices," Renewable and Sustainable Energy Reviews, Elsevier, vol. 52(C), pages 1596-1609.
    14. Joanna Janczura, 2012. "Pricing electricity derivatives within a Markov regime-switching model," Papers 1203.5442, arXiv.org.
    15. John Crosby, 2008. "A multi-factor jump-diffusion model for commodities," Quantitative Finance, Taylor & Francis Journals, vol. 8(2), pages 181-200.
    16. Asger Lunde & Anne Floor Brix & Wei Wei, 2015. "A Generalized Schwartz Model for Energy Spot Prices - Estimation using a Particle MCMC Method," CREATES Research Papers 2015-46, Department of Economics and Business Economics, Aarhus University.
    17. Ren'e Aid & Luciano Campi & Delphine Lautier, 2015. "On the spot-futures no-arbitrage relations in commodity markets," Papers 1501.00273, arXiv.org, revised Feb 2018.
    18. Joanna Janczura, 2014. "Pricing electricity derivatives within a Markov regime-switching model: a risk premium approach," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(1), pages 1-30, February.
    19. Green, Rikard, 2015. "A Power Market Forward Curve with Hydrology Dependence An Approach based on Artificial Neural Networks," Knut Wicksell Working Paper Series 2015/1, Lund University, Knut Wicksell Centre for Financial Studies.
    20. 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.
    21. Cartea, Álvaro & Jaimungal, Sebastian & Qin, Zhen, 2019. "Speculative trading of electricity contracts in interconnected locations," Energy Economics, Elsevier, vol. 79(C), pages 3-20.
    22. Xiong, Heng & Mamon, Rogemar, 2019. "A higher-order Markov chain-modulated model for electricity spot-price dynamics," Applied Energy, Elsevier, vol. 233, pages 495-515.
    23. Percival Pineda, 2017. "Financial liberalization and private sector borrowing in ASEAN 4 economies 1990–2012," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 7(2), pages 277-295, August.
    24. Benth Fred E & Saltyte-Benth Jurate, 2006. "Analytical Approximation for the Price Dynamics of Spark Spread Options," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 10(3), pages 1-28, September.
    25. Xavier Warin, 2017. "Variance optimal hedging with application to Electricity markets," Papers 1711.03733, arXiv.org, revised Aug 2018.

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