Ziegler, Daniel; Schmitz, Katrin; Weber, Christoph Optimal electricity generation portfolios. The impact of price spread modelling. (English) Zbl 1273.91460 Comput. Manag. Sci. 9, No. 3, 381-399 (2012). Summary: It is common practice to base investment decisions on price projections which are gained from simulations using price processes. The choice of the underlying process is crucial for the simulation outcome. For power plants the core question is the existence of stable long-term cointegration relations. Therefore we investigate the impacts of different ways to model price movements in a portfolio selection model for the German electricity market. Three different approaches of modelling fuel prices are compared: initially, all prices are modelled as correlated random walks. Thereafter the coal price is modelled as random walk. The gas price follows the coal price through a mean-reversion process. Lastly, all prices are modelled as mean reversion processes with correlated residuals. The prices of electricity base and peak futures are simulated using historical correlations with gas and coal prices. Yearly base and peak prices are transformed into an estimated price duration curve followed by the steps power plant dispatch, operational margin and net present value calculation and finally the portfolio selection. The analysis shows that the chosen price process assumptions have significant impacts on the resulting portfolio structure and the weights of individual technologies. Cited in 2 Documents MSC: 91G60 Numerical methods (including Monte Carlo methods) 91G10 Portfolio theory Keywords:portfolio theory; decision making; stochastic processes PDF BibTeX XML Cite \textit{D. Ziegler} et al., Comput. Manag. Sci. 9, No. 3, 381--399 (2012; Zbl 1273.91460) Full Text: DOI References: [1] Awerbuch S (1995) Market-based irp: it’s easy!. Electr J 8(3): 50–67 [2] Awerbuch S (2000) Investing in photovoltaics: risk, accounting and the value of new technology. Energy Policy (28):1023–1035 [3] Awerbuch S (2004) Towards a finance-oriented valuation of conventional and renewable energy sources in ireland. Report, Sustainable Energy Ireland [4] Awerbuch S, Berger M (2003) Applying portfolio theory to EU electricity planning and policy-making. Report number EET/2003/03, IEA [5] Awerbuch S, Stirling A, Jansen J, Beurskens L (2006) Full-spectrum portfolio and diversity analysis of energy technologies. In: Leggio K, Bodde D, Taylor M (eds) Managing enterprise risk, elsevier global energy policy and economics series. Elsevier Science Ltd, Oxford, pp 202–222 [6] Bar-Lev D, Katz S (1976) A portfolio approach to fossil fuel procurement in the electric utility industry. J Finance 31(3): 933–947 [7] Beltran H (2009) Modern portfolio theory applied to electricity resource planning. Master of sciences dissertation, University of Illinois at Urbana-Champaign [8] Black F, Scholes MS (1973) The pricing of options and corporate liabilities. J Political Econ 81(3): 637–654 · Zbl 1092.91524 [9] Blyth W, Bradley R, Bunn D, Clarke C, Wilson T, Yang M (2007) Investment risks under uncertain climate change policy. Energy Policy 35(11): 5766–5773 [10] Deng SJ (2005) Valuation of investment and opportunity-to-invest in power generation assets with spikes in electricity price. Manage Finance 31(6): 95–115. doi: 10.1108/03074350510769712 [11] Dixit AK, Pindyck RS (1994) Investment under uncertainty. Princeton University Press, Princeton [12] EEX: Phelix baseload/peakload year future price data (2009). http://www.eex.com/de/Downloads [13] EEX: Eex product brochure power (2011). http://cdn.eex.com/document/89877/20110414_EEX_Produktbrosch%C3%BCre_Strom_englisch.pdf [14] Fleten SE, Näsäkkälä E (2010) Gas-fired power plants: investment timing, operating flexibility and CO2 capture. Energy Econ 32(4): 805–816 [15] Geman H, Shih YF (2009) Modeling commodity prices under the cev model. J Altern Invest 11(3): 65–84. doi: 10.3905/JAI.2009.11.3.065 [16] Haldrup N, Nielsen MØ (2006) A regime switching long memory model for eelectricity prices. J Econom. 135(1–2): 349–376 · Zbl 1225.62158 [17] IEA (2008) World energy outlook 2008. International Energy Association (IEA) (2008) [18] Irwin SH, Zulauf CR, Jackson TE (1996) Monte carlo analysis of mean reversion in commodity futures prices. Am J Agric Econom 78(2): 387–399 [19] Jansen JC, Beurskens LW, van Tilburg X (2006) Application of portfolio analysis to the Dutch generating mix: reference case and two renewables cases: year 2030, SE and GE scenario [20] Johnson B, Barz G (1999) Selecting stochastic processes for modelling electricity prices. In: Jameson R (ed) Energy modelling and the management of uncertainty. Risk Books, London, pp 3–22 [21] Keles D, Hartel R, Möst D, Fichtner W (2012) Caes power plant investments under uncertain electricity prices. J Energy Markets 5(1): 53–84 [22] Kholodnyi VA (2005) Modeling power forward prices for power with spikes: a non-markovian approach. Nonlinear Anal Theory Methods Appl 63(5-7): 958–965 · Zbl 1153.91716 [23] Konstantin P (2009) Praxisbuch Energiewirtschaft: Energieumwandlung, -transport und -beschaffung im liberalisierten Markt, 2 edn. Springer, Berlin [24] Krey B, Zweifel P (2008) Efficient electricity portfolios for the united states and switzerland: an investor view. http://www.zora.uzh.ch/52399/ [25] Lucia JJ, Schwartz ES (2002) Electricity prices and power derivatives : evidence from the nordic power exchange. In: Review of derivatives research · Zbl 1064.91508 [26] Madlener R, Wenk C (2008) Efficient investment portfolios for the swiss electricity supply sector. SSRN eLibrary [27] Markowitz HM (1952) Portfolio selection. J Finance 7(1): 77–91 [28] Meade N (2010) Oil prices: brownian motion or mean reversion? a study using a one year ahead density forecast criterion. Energy Econ 32(6): 1485–1498 [29] Merton RC (1973) Theory of rational option pricing. Bell J Econ 4(1): 141–183 · Zbl 1257.91043 [30] Muche T (2009) A real option-based simulation model to evaluate investments in pump storage plants. Energy Policy 37(11): 4851–4862 [31] Roques F, Newbery D, Nuttall W (2008) Fuel mix diversification incentives in liberalized electricity markets: A mean-variance portfolio theory approach. Energy Econ 30(4): 1831–1849 [32] Roques F, Nuttall W, Newbery D (2006) Using probabilistic analysis to value power generation investments under uncertainty. Cambridge Working Papers in Economics 0650, Faculty of Economics, University of Cambridge. http://ideas.repec.org/p/cam/camdae/0650.html [33] Rothwell G (2006) A real options approach to evaluating new nuclear power plants. Energy J 27: 37–53 [34] Sachverständigenrat: Die finanzkrise meistern–wachstumskräfte stärken. Jahresgutachten, Sachverständigenrat zur Begutachtung der gesamtwirtschaftlichen Entwicklung (German Council of Economic Experts (2008) http://www.sachverstaendigenrat-wirtschaft.de/fileadmin/dateiablage/download/gutachten/ga08_ges.pdf [35] Schwartz ES (1997) The stochastic behavior of commodity prices: implications for valuation and hedging. J Finance 52(3): 923–973 [36] Seifert J, Uhrig-Homburg M, Wagner M (2008) Dynamic behavior of CO 2 spot prices. J Environ Econ Manag 56(2): 180–194. doi: 10.1016/j.jeem.2008.03.003 · Zbl 1146.91355 [37] Weber C (2005) Uncertainty in the electric power industry: methods and models for decision support. Springer, Berlin · Zbl 1074.91002 [38] Weber C (2007) Plants as real options: the importance of price models. In: Ostertag K, Llerena P, Richard A (eds) Option valuation for energy issues. ISI Schriftenreihe, Karlsruhe, pp 116–131 [39] Westner G, Madlener R (2010) The benefit of regional diversification of cogeneration investments in europe: a mean-variance portfolio analysis. Energy Policy 38(12): 7911–7920. doi: 10.1016/j.enpol.2010.09.011 [40] Westner G, Madlener R (2011) Development of cogeneration in germany: a mean-variance portfolio analysis of individual technology’s prospects in view of the new regulatory framework. Energy 36(8): 5301–5313. doi: 10.1016/j.energy.2011.06.038 [41] Westner G, Madlener R (2011) Investment in new power generation under uncertainty: benefits of chp versus condensing plants in a copula-based analysis. Energy Econ 34: 1–380 [42] White B (2007) A mean-variance portfolio optimization of california’s generation mix to 2020 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.