An empirical comparison of alternate regime-switching models or electricity spot prices

Janczura, Joanna and Weron, Rafal (2010): An empirical comparison of alternate regime-switching models or electricity spot prices.

Abstract

One of the most profound features of electricity spot prices are the price spikes. Markov regime-switching (MRS) models seem to be a natural candidate for modeling this spiky behavior. However, in the studies published so far, the goodness-of-fit of the proposed models has not been a major focus. While most of the models were elegant, their fit to empirical data has either been not examined thoroughly or the signs of a bad fit ignored. With this paper we want to fill the gap. We calibrate and test a range of MRS models in an attempt to find parsimonious specifications that not only address the main characteristics of electricity prices but are statistically sound as well. We find that the most universal and robust structure is that of an independent spike 3-regime model with heteroscedastic diffusion-type base regime dynamics and shifted spike regime distributions.

• Item Type: MPRA Paper
• Language: English
• Keywords: Electricity spot price, Spikes, Markov regime-switching, Heteroscedasticity
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C51 - Model Construction and Estimation; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q4 - Energy > Q47 - Energy Forecasting

References

Anderson, C.L., Davison, M. (2008). A hybrid system-econometric model for electricity spot prices: Considering spike sensitivity to forced outage distributions. IEEE Transactions on Power Systems 23(3), 927-937.

Andreasen, J., Dahlgren, M. (2006). At the flick of a switch. Energy Risk, February, 71-75.

Barlow, M. (2002). A diffusion model for electricity prices. Mathematical Finance 12, 287-298.

Benth, F.E., Benth, J.S., Koekebakker, S. (2008). Stochastic Modeling of Electricity and Related Markets. World Scientific, Singapore.

Benz, E., Trueck, S. (2006). CO2 emission allowances trading in Europe – Specifying a new class of assets. Problems and Perspectives in Management 4(3), 30-40.

Bierbrauer, M., Menn, C., Rachev, S.T., Trueck, S. (2007). Spot and derivative pricing in the EEX power market. Journal of Banking and Finance 31, 3462-3485.

Bierbrauer, M., Trueck, S., Weron, R. (2004) Modeling electricity prices with regime switching models. Lecture Notes in Computer Science 3039, 859-867.

Brockwell, P.J., Davis, R.A. (1996), Introduction to Time Series and Forecasting, 2nd ed. Springer-Verlag, New York.

Bunn, DW., ed. (2004) Modelling Prices in Competitive Electricity Markets. Wiley, Chichester.

Cartea, A., Figueroa, M., Geman, H. (2009). Modelling Electricity Prices with Forward Looking Capacity Constraints. Applied Mathematical Finance 16(2), 103-122.

Cizek P, Haerdle W, Weron R, eds. (2005) Statistical Tools for Finance and Insurance. Springer, Berlin.

Cox, J.C., Ingersoll, J.E., Ross, S.A. (1985). A theory of the term structure of interest rates. Econometrica 53, 385-407.

De Jong, C. (2006). The nature of power spikes: A regime-switch approach. Studies in Nonlinear Dynamics & Econometrics 10(3), Article 3.

Deng, S.-J. (1998). Stochastic models of energy commodity prices and their applications: Mean-reversion with jumps and spikes. PSerc Working Paper 98-28.

Ethier, R., Mount, T., (1998). Estimating the volatility of spot prices in restructured electricity markets and the implications for option values. PSerc Working Paper 98-31.

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

Hamilton, J. (1990). Analysis of time series subject to changes in regime. Journal of Econometrics 45, 39-70.

Heydari, S., Siddiqui, A. (2010). Valuing a gas-fired power plant: A comparison of ordinary linear models, regime-switching approaches, and models with stochastic volatility. Energy Economics, forthcoming.

Huisman, R. (2008). The influence of temperature on spike probability in day-ahead power prices. Energy Economics 30, 2697-2704.

Huisman, R., de Jong, C. (2003). Option pricing for power prices with spikes. Energy Power Risk Management 7.11, 12-16.

Huisman, R., Mahieu, R. (2003). Regime jumps in electricity prices. Energy Economics 25, 425-434.

Janczura, J., Weron, R. (2009). Regime-switching models for electricity spot prices: Introducing heteroskedastic base regime dynamics and shifted spike distributions. IEEE Conference Proceedings (EEM’09), DOI 10.1109/EEM.2009.5207175.

Janczura, J., Weron, R. (2010). Statistical inference for Markov regime-switching models. Working paper.

Janicki, A., Weron, A. (1994). Simulation and Chaotic Behavior of Alpha-Stable Stochastic Processes. Marcel Dekker, New York.

Kaminski, V. (2004). Managing Energy Price Risk: The New Challenges and Solutions, 3rd ed. Risk Books, London.

Kanamura, T., Ohashi, K. (2008). On transition probabilities of regime switching in electricity prices. Energy Economics 30, 1158-1172.

Karakatsani, N.V., Bunn, D.W. (2008). Intra-day and regime-switching dynamics in electricity price formation. Energy Economics 30, 1776-1797.

Kim, C.-J. (1994). Dynamic linear models with Markov-switching. J. Econometrics 60, 1-22.

Kluge, T. (2006). Pricing swing options and other electricity derivatives. Ph.D. Thesis, University of Oxford.

Kosater, P., Mosler, K. (2006). Can Markov regime-switching models improve power-price forecasts? Evidence from German daily power prices. Applied Energy 83, 943-958.

Lucheroni, C. (2009). Stochastic models of resonating markets. Journal of Economic Interaction and Coordination, DOI 10.1007/s11403-009-0058-6.

Mari, C. (2008). Random movements of power prices in competitive markets: A hybrid model approach. Journal of Energy Markets 1(2), 87-103.

Mount, T.D., Ning, Y., Cai, X. (2006). Predicting price spikes in electricity markets using a regime-switching model with time-varying parameters. Energy Economics 28: 62-80.

Trueck, S.,Weron, R.,Wolff, R. (2007) Outlier treatment and robust approaches for modeling electricity spot prices. Proceedings of the 56th Session of the ISI. Available at MPRA: http://mpra.ub.uni-muenchen.de/4711/.

Vasicek, O. (1977) An equilibrium characterization of the term structure. J. Financial Econometrics 5, 177-188.

Weron, R. (2006) Modeling and forecasting electricity loads and prices: A statistical approach. Wiley, Chichester.

Weron, R. (2009) Heavy-tails and regime-switching in electricity prices. Mathematical Methods of Operations Research 69(3), 457-473.

Weron, R., Bierbrauer, M., Trueck, S. (2004) Modeling electricity prices: jump diffusion and regime switching. Physica A 336, 39-48.