Janczura, Joanna and Weron, Rafal (2010): An empirical comparison of alternate regime-switching models for electricity spot prices. Forthcoming in: Energy Economics
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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 best structure is that of an independent spike 3-regime model with heteroscedastic diffusion-type base regime dynamics and shifted spike regime distributions. Not only does it allow for consecutive spikes or price drops, which is consistent with market observations, but also exhibits the ‘inverse leverage effect’ reported in the literature for spot electricity prices.
|Item Type:||MPRA Paper|
|Original Title:||An empirical comparison of alternate regime-switching models for electricity spot prices|
|Keywords:||Electricity spot price; Spikes; Markov regime-switching; Heteroscedasticity; Inverse leverage effect|
|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
|Depositing User:||Joanna Janczura|
|Date Deposited:||25. May 2010 01:03|
|Last Modified:||12. Feb 2013 03:16|
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.
Benth, F.E., Koekebakker, S., Ollmar, F. (2007) Extracting and applying smooth forward curves from average-based commodity contracts with seasonal variation. Journal of Derivatives – Fall, 52-66.
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.
Borak, S., Weron, R. (2008) A semiparametric factor model for electricity forward curve dynamics. Journal of Energy Markets 1(3), 3-16.
Bowden, N., Payne, J.E. (2008) Short term forecasting of electricity prices for MISO hubs: Evidence from ARIMA-EGARCH models. Energy Economics 30, 3186-3197.
Brockwell, P.J., Davis, R.A. (1996) Introduction to Time Series and Forecasting, 2nd ed. Springer-Verlag, New York.
Bunn, D.W., 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.
Davoust, R. (2008) Gas Price Formation, Structure & Dynamics: An Integral Overview. Ifri Note.
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.
Ernst & Young (1998) The European Generation Mix. Report.
Eydeland, A., Wolyniec, K. (2003) Energy and Power Risk Management. Wiley, Hoboken, NJ.
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.
Fleten, S.E., Lemming, J. (2003) Constructing forward price curves in electricity markets. Energy Economics 25, 409-424.
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.
Hamilton, J. (2009) Causes and Consequences of the Oil Shock of 2007-08. Brookings Papers on Economic Activity 2009/1, 215-261.
Haerdle, W., Kerkyacharian, G., Picard, D., Tsybakov, A. (1998) Wavelets, Approximation and Statistical Applications. Lecture Notes in Statistics 129. Springer-Verlag, New York.
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. (2010a) Efficient estimation of Markov regime-switching models. Working paper.
Janczura, J., Weron, R. (2010b). Goodness-of-fit testing for regime-switching models. Working paper. Available at MPRA: http://mpra.ub.unimuenchen.de/22871/.
Janicki, A., Weron, A. (1994) Simulation and Chaotic Behavior of α-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.
Khan, M.S. (2009) The 2008 Oil Price “Bubble”. Peterson Institute for International Economics Paper PB09-19.
Kim, C.-J. (1994) Dynamic linear models with Markov-switching. Journal of Econometrics 60, 1-22.
Kluge, T. (2006) Pricing swing options and other electricity derivatives. Ph.D. Thesis, University of Oxford.
Knittel, C.R., Roberts, M.R. (2005) An empirical examination of restructured electricity prices. Energy Economics 27, 791-817.
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.
Nelson, D.B. (1991) Conditional heteroskedasticity in asset returns: A new approach. Econometrica 59, 347-370.
NPCC (2007). NPCC Statistical Brochure.
PJM (2009). State of the Market Report.
Ramsey, J.B. (2002) Wavelets in economics and finance: Past and future. Studies in Nonlinear Dynamics & Econometrics 6(3), Article 1.
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. Journal of Financial Economics 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.
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An empirical comparison of alternate regime-switching models or electricity spot prices. (deposited 07. Feb 2010 22:18)
An empirical comparison of alternate regime-switching models for electricity spot prices. (deposited 14. Feb 2010 09:47)
- An empirical comparison of alternate regime-switching models for electricity spot prices. (deposited 25. May 2010 01:03) [Currently Displayed]
- An empirical comparison of alternate regime-switching models for electricity spot prices. (deposited 14. Feb 2010 09:47)