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A numerical algorithm for pricing electricity derivatives for jump-diffusion processes based on continuous time lattices

Author

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  • Albanese, Claudio
  • Lo, Harry
  • Tompaidis, Stathis

Abstract

We present a numerical algorithm for pricing derivatives on electricity prices. The algorithm is based on approximating the generator of the underlying price process on a lattice of prices, resulting in an approximation of the stochastic process by a continuous time Markov chain. We numerically study the rate of convergence of the algorithm for the case of the Merton jump-diffusion model and apply the algorithm to calculate prices and sensitivities of both European and Bermudan electricity derivatives when the underlying price follows a stochastic process which exhibits both fast mean-reversion and jumps of large magnitude.

Suggested Citation

  • Albanese, Claudio & Lo, Harry & Tompaidis, Stathis, 2012. "A numerical algorithm for pricing electricity derivatives for jump-diffusion processes based on continuous time lattices," European Journal of Operational Research, Elsevier, vol. 222(2), pages 361-368.
  • Handle: RePEc:eee:ejores:v:222:y:2012:i:2:p:361-368
    DOI: 10.1016/j.ejor.2012.04.030
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    References listed on IDEAS

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    1. Helyette Geman & A. Roncoroni, 2006. "Understanding the Fine Structure of Electricity Prices," Post-Print halshs-00144198, HAL.
    2. Albanese, Claudio, 2006. "Operator Methods, Abelian Processes And Dynamic Conditioning," MPRA Paper 5246, University Library of Munich, Germany, revised 06 Nov 2007.
    3. M. T. Barlow, 2002. "A Diffusion Model For Electricity Prices," Mathematical Finance, Wiley Blackwell, vol. 12(4), pages 287-298.
    4. repec:dau:papers:123456789/1433 is not listed on IDEAS
    5. 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.
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    Citations

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    Cited by:

    1. Weron, Rafał, 2014. "Electricity price forecasting: A review of the state-of-the-art with a look into the future," International Journal of Forecasting, Elsevier, vol. 30(4), pages 1030-1081.
    2. Mitra, Sovan & Date, Paresh & Mamon, Rogemar & Wang, I-Chieh, 2013. "Pricing and risk management of interest rate swaps," European Journal of Operational Research, Elsevier, vol. 228(1), pages 102-111.
    3. Islyaev, Suren & Date, Paresh, 2015. "Electricity futures price models: Calibration and forecasting," European Journal of Operational Research, Elsevier, vol. 247(1), pages 144-154.

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