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Estimation of the number of factors in a multi-factorial Heath-Jarrow-Morton model in electricity markets

Author

Listed:
  • Olivier Feron

    (EDF - EDF, FiME Lab - Laboratoire de Finance des Marchés d'Energie - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CREST - EDF R&D - EDF R&D - EDF - EDF)

  • Pierre Gruet

    (EDF - EDF, FiME Lab - Laboratoire de Finance des Marchés d'Energie - Université Paris Dauphine-PSL - PSL - Université Paris sciences et lettres - CREST - EDF R&D - EDF R&D - EDF - EDF)

Abstract

In this paper we study the calibration of specific multi-factorial Heath-Jarrow-Morton models to electricity market prices, with a focus on the estimation of the optimal number of factors. We describe a common statistical procedure based on likelihood maximisation and Akaike / Bayesian information criteria, in the case of calibration on futures prices, as well as on both spot and futures prices. We perform a detailed analysis on 6 European markets: Belgium, France, Germany, Italy, Switzerland and UK. The results show a lot of similarities on all the markets considered, especially on the optimal number of factors equal to 5; and on the behaviour of the different factors.

Suggested Citation

  • 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.
    • Handle: RePEc:hal:wpaper:hal-02880824
    Note: View the original document on HAL open archive server: https://hal.science/hal-02880824
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    References listed on IDEAS

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    Cited by:

    1. Matteo Gardini & Edoardo Santilli, 2023. "A Heath-Jarrow-Morton framework for energy markets: a pragmatic approach," Papers 2305.01485, arXiv.org, revised Nov 2023.

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    Keywords

    Electricity markets; model calibration; model selection; power price model;
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