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Joint econometric modeling of spot electricity prices, forwards and options

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Abstract

We propose a joint modeling of spot electricity prices, forwards prices and other derivative prices, using recent developments in discrete time asset pricing methods based on the notions of stochastic discount factor and of Compound Autoregressive (or affine) stochastic processes. We show that this approach provides quasi explicit formulae for forward and option prices, while allowing for a large flexibility in the modeling of dynamics, spikes and seasonality, both in the historical and the risk neutral worlds. We also propose a variety of inference techniques involving inversion methods, the Kalman filter and the Kitagawa–Hamilton filter. Finally, an application based on French spot prices and forward products is proposed.

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References

  • Benth, F. E., Kallsen, J., & Meyer-Brandis, T. (2005). A non Gaussian Ornstein-Ulhenbeck process for electricity spot price modeling and derivative pricing. Discussion Paper Center for Mathematics, University of Oslo no 14/2005.

  • Benth, F. E., & Koekebakker, S. (2005). Stochastic modeling of financial electricity contracts. Department of Pure Mathematics, University of Oslo, Discussion paper no 024.

  • Bertholon H., Monfort A., Pegoraro F. (2008) Econometric asset pricing modelling. Journal of Financial Econometrics 6(4): 407–458

    Article  Google Scholar 

  • Bunn, D. W., & Karakatsani, N. (2003). Forecasting electricity prices. London Business School, Working Paper.

  • Darolles S., Gourieroux C., Jasiak J. (2006) Structural Laplace transform and compound autoregressive models. Journal of Time Series Analysis 24(4): 477–503

    Article  Google Scholar 

  • Deng, S. (2000). Stochastic models of energy commodity prices and their applications: Mean reversion with jumps and spikes. Working paper, University of California Energy Institute.

  • De Jong, C. (2005). The nature of power spikes: A regime switching approach. Working Paper, Erasmus University Rotterdam no ERS - 2005-052.

  • Duffie D., Pan J., Singleton K. (2000) Transform analysis and asset pricing for affine jump diffusions. Econometrica 68: 1343–1376

    Article  Google Scholar 

  • Geman H., Roncoroni A. (2006) Understanding the fine structure of electricity prices. Journal of Business 79(3): 1225–1261

    Article  Google Scholar 

  • Gourieroux C., Monfort A. (2007) Econometric specifications of stochastic discount factor models. Journal of Econometrics 136: 509–530

    Article  Google Scholar 

  • Gourieroux C., Monfort A., Polimenis V. (2006) Affine model for credit risk analysis. Journal of Financial Econometrics 4(3): 494–530

    Article  Google Scholar 

  • Gourieroux C., Monfort A. (1996) Statistics and econometrics models, vol. 2. Cambridge University Press, Cambridge

    Google Scholar 

  • Hamilton J. (1989) A new approach to the economic analysis of nonstationary time series and the business cycle. Econometrica 57(2): 357–384

    Article  Google Scholar 

  • Huisman R., Mahieu R. (2003) Regime jumps in electricity prices. Energy Economics 25(5): 425–434

    Article  Google Scholar 

  • Huisman R. (2008) The influence of temperature on spike probability and day-ahead power price. Energy Economics 30(5): 2697–2704

    Article  Google Scholar 

  • Johnson B., Barz G. (1999) Selecting stochastic processes for modelling electricity prices. In: Jameson R. (Ed.), Energy modelling and the management of uncertainty. Risk Publications, London

    Google Scholar 

  • Kim C. J. (1994) Dynamic linear models with Markov switching. Journal of Econometrics 60: 1–22

    Article  Google Scholar 

  • Lucia J., Schwartz E. (2002) Electricity prices and power derivatives: Evidence from the Nordic power exchange. Review of Derivative Research 5: 5–50

    Article  Google Scholar 

  • Mount T., Ning Y., Cai X. (2005) Predicting price spikes in electricity markets using a regime-switching model with time-varying parameters. Energy Economics 28(1): 62–80

    Article  Google Scholar 

  • Monfort A., Pegoraro F. (2007) Switching VARMA term structure models. Journal of Financial Econometrics 5(1): 105–153

    Article  Google Scholar 

  • Schwartz E.S. (1997) The stochastic behavior of commodity prices: Implications for valuation and hedging. Journal of Finance 52(3): 923–973

    Article  Google Scholar 

  • Weron R., Bierbrauer M., Truck S. (2004) Modelling electricity prices: Jump diffusion and regime switching. Physica 336: 39–48

    Article  Google Scholar 

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Correspondence to Olivier Féron.

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Monfort, A., Féron, O. Joint econometric modeling of spot electricity prices, forwards and options. Rev Deriv Res 15, 217–256 (2012). https://doi.org/10.1007/s11147-012-9075-z

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