Some Statistical Investigations on the Nature and Dynamics of Electricity Prices
AbstractIt is widely accepted that in liberalized electricity markets log-returns display fat-tailed densities. Besides qualitative assessments, so far precise characterizations of the shape of the distribution have been seldom provided. In this work, we characterize the conditional and unconditional probability density functions of daily electricity log-returns, and of the underlying shocks from the NordPool market, for each of the 24 hours, through a very flexible and general family of distributions, namely the Subbotin family. Our study contributes with novel results in the field. First, we show that price fluctuations in electricity markets are additive in nature. We do this by exploiting a scaling relationship between price level and volatility, which is in turn a new result in the electricity markets literature. Second, in line with recent studies, we uncover the existence of multiple regimes in price dynamics, and we characterize the distributional shape for each of them. Interestingly, the shocks behind electricity price dynamics are approximately Laplace if one conditions on low price levels, and closer to a Gaussian in correspondence of high initial price levels. These results are at variance with the evidence from financial markets. The peculiar non-storable nature of electricity, and the varying strength of correlations between bidding behaviors at different load levels are suggested as possible key factors behind the specificities of electricity markets outcomes.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy in its series LEM Papers Series with number 2004/13.
Date of creation: 01 Jul 2004
Date of revision:
Electricity Markets; Subbotin Distribution; Laplace Distribution; Additive Process; Scaling;
Other versions of this item:
- Bottazzi, G. & Sapio, S. & Secchi, A., 2005. "Some statistical investigations on the nature and dynamics of electricity prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 54-61.
- NEP-ALL-2004-08-16 (All new papers)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Jeremy Berkowitz & Lutz Kilian, 2000.
"Recent developments in bootstrapping time series,"
Taylor & Francis Journals, vol. 19(1), pages 1-48.
- Diebold, Francis X & Ohanian, Lee E & Berkowitz, Jeremy, 1998.
"Dynamic Equilibrium Economies: A Framework for Comparing Models and Data,"
Review of Economic Studies,
Wiley Blackwell, vol. 65(3), pages 433-51, July.
- Francis X. Diebold & Lee E. Ohanian & Jeremy Berkowitz, 1998. "Dynamic equilibrium economies: a framework for comparing models and data," Staff Report 243, Federal Reserve Bank of Minneapolis.
- Francis X. Diebold & Lee E. Ohanian & Jeremy Berkowitz, 1997. "Dynamic equilibrium economies: a framework for comparing models and data," Finance and Economics Discussion Series 1997-23, Board of Governors of the Federal Reserve System (U.S.).
- Francis X. Diebold & Lee E. Ohanian & Jeremy Berkowitz, 1997. "Dynamic equilibrium economies: a framework for comparing models and data," Working Papers 97-7, Federal Reserve Bank of Philadelphia.
- Francis X. Diebold & Lee E. Ohanian & Jeremy Berkowitz, 1995. "Dynamic Equilibrium Economies: A Framework for Comparing Models and Data," NBER Technical Working Papers 0174, National Bureau of Economic Research, Inc.
- Lucia, Julio J. & Schwartz, Eduardo, 2000. "Electricity prices and power derivatives: Evidence from the Nordic Power Exchange," University of California at Los Angeles, Anderson Graduate School of Management qt12w8v7jj, Anderson Graduate School of Management, UCLA.
- Alvaro Escribano & J. Ignacio Peña & Pablo Villaplana, 2011.
"Modelling Electricity Prices: International Evidence,"
Oxford Bulletin of Economics and Statistics,
Department of Economics, University of Oxford, vol. 73(5), pages 622-650, October.
- Alvaro Escribano & Juan Ignacio Peña & Pablo Villaplana, 2002. "Modeling Electricity Prices: International Evidence," Economics Working Papers we022708, Universidad Carlos III, Departamento de Economía.
- Brousseau, Eric & Glachant, Jean-Michel, 2002. "The economics of contracts: Theories and applications," Economics Papers from University Paris Dauphine 123456789/12331, Paris Dauphine University.
- Rafal Weron & Michael Bierbrauer & Stefan Trück, 2003.
"Modeling electricity prices: jump diffusion and regime switching,"
HSC Research Reports
HSC/03/01, Hugo Steinhaus Center, Wroclaw University of Technology.
- 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.
- Knittel, Christopher R. & Roberts, Michael R., 2005. "An empirical examination of restructured electricity prices," Energy Economics, Elsevier, vol. 27(5), pages 791-817, September.
- Sandro Sapio, 2004.
"Market Design, Bidding Rules, and Long Memory in Electricity Prices,"
LEM Papers Series
2004/07, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Sandro Sapio, 2004. "Markets Design, Bidding Rules, and Long Memory in Electricity Prices," Revue d'Économie Industrielle, Programme National Persée, vol. 107(1), pages 151-170.
- Haldrup, Niels & Nielsen, Morten Orregaard, 2006.
"A regime switching long memory model for electricity prices,"
Journal of Econometrics,
Elsevier, vol. 135(1-2), pages 349-376.
- Niels Haldrup & Morten O. Nielsen, 2004. "A Regime Switching Long Memory Model for Electricity Prices," Economics Working Papers 2004-2, School of Economics and Management, University of Aarhus.
- Youngki Lee & Luis A. N. Amaral & David Canning & Martin Meyer & H. Eugene Stanley, 1998. "Universal features in the growth dynamics of complex organizations," Papers cond-mat/9804100, arXiv.org.
- Jeremy Berkowitz & Ionel Birgean & Lutz Kilian, 1999.
"On the finite-sample accuracy of nonparametric resampling algorithms for economic time series,"
Finance and Economics Discussion Series
1999-04, Board of Governors of the Federal Reserve System (U.S.).
- Berkowitz, J. & Birgean, I. & Kilian, L., 1999. "On the Finite-Sample Accuracy of Nonparametric Resampling Algorithms for Economic Time Series," Papers 99-01, Michigan - Center for Research on Economic & Social Theory.
- Byström, Hans, 2001.
"Extreme Value Theory and Extremely Large Electricity Price Changes,"
2001:19, Lund University, Department of Economics.
- Bystrom, Hans N. E., 2005. "Extreme value theory and extremely large electricity price changes," International Review of Economics & Finance, Elsevier, vol. 14(1), pages 41-55.
- von der Fehr, Nils-Henrik Morch & Harbord, David, 1993.
"Spot Market Competition in the UK Electricity Industry,"
Royal Economic Society, vol. 103(418), pages 531-46, May.
- Von der Fehr, N.H.M. & Harbord, D., 1992. "Spot Market Competition in the UK Electricity Industry," Memorandum 09/1992, Oslo University, Department of Economics.
- Merton, Robert C., 1976.
"Option pricing when underlying stock returns are discontinuous,"
Journal of Financial Economics,
Elsevier, vol. 3(1-2), pages 125-144.
- Merton, Robert C., 1975. "Option pricing when underlying stock returns are discontinuous," Working papers 787-75., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Bottazzi, Giulio & Secchi, Angelo, 2003. "Why are distributions of firm growth rates tent-shaped?," Economics Letters, Elsevier, vol. 80(3), pages 415-420, September.
- Joskow, Paul L, 1996. "Introducing Competition into Regulated Network Industries: From Hierarchies to Markets in Electricity," Industrial and Corporate Change, Oxford University Press, vol. 5(2), pages 341-82.
- S. James Press, 1967. "A Compound Events Model for Security Prices," The Journal of Business, University of Chicago Press, vol. 40, pages 317.
- Catherine D. Wolfram, 1999. "Measuring Duopoly Power in the British Electricity Spot Market," American Economic Review, American Economic Association, vol. 89(4), pages 805-826, September.
- Kaldasch, Joachim, 2012.
"Evolutionary model of the growth and size of firms,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 391(14), pages 3751-3769.
- Joachim Kaldasch, 2012. "Evolutionary Model of the Growth and Size of Firms," Papers 1208.1123, arXiv.org.
- Andrea Petrella & Sandro Sapio, 2010. "No PUN intended: A time series analysis of the Italian day-ahead electricity prices," RSCAS Working Papers 2010/03, European University Institute.
- Kaldasch, Joachim, 2011.
"Evolutionary model of an anonymous consumer durable market,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 390(14), pages 2692-2715.
- Joachim Kaldasch, 2013. "Evolutionary Model of a Anonymous Consumer Durable Market," Papers 1306.3395, arXiv.org.
- Kaldasch, Joachim, 2011.
"Evolutionary Model of Non-Durable Markets,"
33743, University Library of Munich, Germany.
- Sandro Sapio, 2006. "An Empirically Based Model of the Supply Schedule in Day-Ahead Electricity Markets," LEM Papers Series 2006/12, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
- Weron, Rafal, 2009. "Forecasting wholesale electricity prices: A review of time series models," MPRA Paper 21299, University Library of Munich, Germany.
- Massimiliano Serati & Matteo Manera & Michele Plotegher, 2008.
"Modelling electricity prices: from the state of the art to a draft of a new proposal,"
LIUC Papers in Economics
210, Cattaneo University (LIUC).
- Matteo Manera & Massimiliano Serati & Michele Plotegher, 2008. "Modeling Electricity Prices: From the State of the Art to a Draft of a New Proposal," Working Papers 2008.9, Fondazione Eni Enrico Mattei.
- Joachim Kaldasch, 2012. "Evolutionäre Diffusion und der Produktlebenszyklus von Gebrauchsgütern," EconStor Preprints 59748, ZBW - German National Library of Economics.
- Weron, Rafal & Misiorek, Adam, 2007. "Heavy tails and electricity prices: Do time series models with non-Gaussian noise forecast better than their Gaussian counterparts?," MPRA Paper 2292, University Library of Munich, Germany, revised Oct 2007.
- Tomasz Kozubowski & Saralees Nadarajah, 2010. "Multitude of Laplace distributions," Statistical Papers, Springer, vol. 51(1), pages 127-148, January.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ().
If references are entirely missing, you can add them using this form.