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Swing options in commodity markets: a multidimensional Lévy diffusion model

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  • Marcus Eriksson
  • Jukka Lempa
  • Trygve Nilssen

Abstract

We study valuation of swing options on commodity markets when the commodity prices are driven by multiple factors. The factors are modeled as diffusion processes driven by a multidimensional Lévy process. We set up a valuation model in terms of a dynamic programming problem where the option can be exercised continuously in time. Here, the number of swing rights is given by a total volume constraint. We analyze some general properties of the model and study the solution by analyzing the associated HJB-equation. Furthermore, we discuss the issues caused by the multi-dimensionality of the commodity price model. The results are illustrated numerically with three explicit examples. Copyright Springer-Verlag Berlin Heidelberg 2014

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  • Marcus Eriksson & Jukka Lempa & Trygve Nilssen, 2014. "Swing options in commodity markets: a multidimensional Lévy diffusion model," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 79(1), pages 31-67, February.
  • Handle: RePEc:spr:mathme:v:79:y:2014:i:1:p:31-67
    DOI: 10.1007/s00186-013-0452-7
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    1. Ben Hambly & Sam Howison & Tino Kluge, 2009. "Modelling spikes and pricing swing options in electricity markets," Quantitative Finance, Taylor & Francis Journals, vol. 9(8), pages 937-949.
    2. Mats Kjaer, 2008. "Pricing of Swing Options in a Mean Reverting Model with Jumps," Applied Mathematical Finance, Taylor & Francis Journals, vol. 15(5-6), pages 479-502.
    3. René Carmona & Nizar Touzi, 2008. "Optimal Multiple Stopping And Valuation Of Swing Options," Mathematical Finance, Wiley Blackwell, vol. 18(2), pages 239-268, April.
    4. Patrick Jaillet & Ehud I. Ronn & Stathis Tompaidis, 2004. "Valuation of Commodity-Based Swing Options," Management Science, INFORMS, vol. 50(7), pages 909-921, July.
    5. M. I. M. Wahab & Z. Yin & N. C. P. Edirisinghe, 2010. "Pricing swing options in the electricity markets under regime-switching uncertainty," Quantitative Finance, Taylor & Francis Journals, vol. 10(9), pages 975-994.
    6. M. Dahlgren, 2005. "A Continuous Time Model to Price Commodity-Based Swing Options," Review of Derivatives Research, Springer, vol. 8(1), pages 27-47, June.
    7. Edoli, Enrico & Fiorenzani, Stefano & Ravelli, Samuele & Vargiolu, Tiziano, 2013. "Modeling and valuing make-up clauses in gas swing contracts," Energy Economics, Elsevier, vol. 35(C), pages 58-73.
    8. Fred Espen Benth & Jan Kallsen & Thilo Meyer-Brandis, 2007. "A Non-Gaussian Ornstein-Uhlenbeck Process for Electricity Spot Price Modeling and Derivatives Pricing," Applied Mathematical Finance, Taylor & Francis Journals, vol. 14(2), pages 153-169.
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    Cited by:

    1. Nadarajah, Selvaprabu & Secomandi, Nicola, 2023. "A review of the operations literature on real options in energy," European Journal of Operational Research, Elsevier, vol. 309(2), pages 469-487.
    2. Roberto Daluiso & Emanuele Nastasi & Andrea Pallavicini & Giulio Sartorelli, 2020. "Pricing commodity swing options," Papers 2001.08906, arXiv.org.
    3. M. Basei & A. Cesaroni & T. Vargiolu, 2013. "Optimal exercise of swing contracts in energy markets: an integral constrained stochastic optimal control problem," Papers 1307.1320, arXiv.org.

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