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Pricing Energy Contracts under Regime Switching Time-Changed models

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  • Konrad Gajewski
  • Sebastian Ferrando
  • Pablo Olivares

Abstract

The shortcomings of the popular Black-Scholes-Merton (BSM) model have led to models which could more accurately model the behavior of the underlying assets in energy markets, particularly in electricity and future oil prices. In this paper we consider a class of regime switching time-changed Levy processes, which builds upon the BSM model by incorporating jumps through a random clock, as well as randomly varying parameters according to a two-state continuous-time Markov chain. We implement pricing methods based on expansions of the characteristic function as in \cite{Fourier}. Finally, we estimate the parameters of the model by incorporating historic energy data and option quotes using a variety of methods.

Suggested Citation

  • Konrad Gajewski & Sebastian Ferrando & Pablo Olivares, 2020. "Pricing Energy Contracts under Regime Switching Time-Changed models," Papers 2005.14361, arXiv.org.
    • Handle: RePEc:arx:papers:2005.14361
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    References listed on IDEAS

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    1. Dilip B. Madan & Peter P. Carr & Eric C. Chang, 1998. "The Variance Gamma Process and Option Pricing," Review of Finance, European Finance Association, vol. 2(1), pages 79-105.
    2. Weron, R & Bierbrauer, M & Trück, S, 2004. "Modeling electricity prices: jump diffusion and regime switching," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 39-48.
    3. Fang, Fang & Oosterlee, Kees, 2008. "A Novel Pricing Method For European Options Based On Fourier-Cosine Series Expansions," MPRA Paper 9319, University Library of Munich, Germany.
    4. Jun Yu, 2004. "Empirical Characteristic Function Estimation and Its Applications," Econometric Reviews, Taylor & Francis Journals, vol. 23(2), pages 93-123.
    5. 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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