IDEAS home Printed from https://ideas.repec.org/p/ris/fcnwpa/2010_010.html
   My bibliography  Save this paper

Fuzzy Portfolio Optimization for Power Generation Assets

Author

Listed:
  • Glensk, Barbara

    (E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN))

  • Madlener, Reinhard

    (E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN))

Abstract

Fuzzy sets theory is proposed as an alternative to the probabilistic approach for assessing portfolios of power plants, in order to capture the complex reality of decision-making processes. This paper presents different fuzzy portfolio selection models, where the rate of returns as well as the investor's aspiration levels of portfolio return and risk are regarded as fuzzy variables. Furthermore, portfolio risk is defined as a downside risk, which is why a semi-mean-absolute deviation portfolio selection model is introduced. Finally, as an illustration, the models presented are applied to a selection of power generation mixes. The efficient portfolio results show that the fuzzy portfolio selection models with different definitions of membership functions as well as the semi-mean-absolute deviation model perform better than the standard mean-variance approach. Moreover, introducing membership functions for the description of investors' aspiration levels for the expected return and risk shows how the knowledge of experts, and investors' subjective opinions, can be better integrated in the decision-making process than with probabilistic approaches.

Suggested Citation

  • Glensk, Barbara & Madlener, Reinhard, 2010. "Fuzzy Portfolio Optimization for Power Generation Assets," FCN Working Papers 10/2010, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    • Handle: RePEc:ris:fcnwpa:2010_010
    as

    Download full text from publisher

    File URL: http://www.fcn.eonerc.rwth-aachen.de/global/show_document.asp?id=aaaaaaaaabdcakb
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. R. Rockafellar & Stan Uryasev & Michael Zabarankin, 2006. "Generalized deviations in risk analysis," Finance and Stochastics, Springer, vol. 10(1), pages 51-74, January.
    2. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    3. Bar-Lev, Dan & Katz, Steven, 1976. "A Portfolio Approach to Fossil Fuel Procurement in the Electric Utility Industry," Journal of Finance, American Finance Association, vol. 31(3), pages 933-947, June.
    4. Madlener, Reinhard & Wenk, Christioph, 2008. "Efficient Investment Portfolios for the Swiss Electricity Supply Sector," FCN Working Papers 2/2008, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    5. Hiroshi Konno & Hiroaki Yamazaki, 1991. "Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market," Management Science, INFORMS, vol. 37(5), pages 519-531, May.
    6. Madlener, Reinhard & Glensk, Barbara, 2010. "Portfolio Impact of New Power Generation Investments of E.ON in the UK, Sweden and Germany," FCN Working Papers 17/2010, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    7. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    8. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    9. Rockafellar, R. Tyrrell & Uryasev, Stan & Zabarankin, Michael, 2006. "Master funds in portfolio analysis with general deviation measures," Journal of Banking & Finance, Elsevier, vol. 30(2), pages 743-778, February.
    10. Madlener, Reinhard & Glensk, Barbara & Weber, Veronika, 2011. "Fuzzy Portfolio Optimization of Onshore Wind Power Plants," FCN Working Papers 10/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN), revised Jul 2014.
    11. Ogryczak, Wlodzimierz & Ruszczynski, Andrzej, 1999. "From stochastic dominance to mean-risk models: Semideviations as risk measures," European Journal of Operational Research, Elsevier, vol. 116(1), pages 33-50, July.
    12. Tanaka, Hideo & Guo, Peijun, 1999. "Portfolio selection based on upper and lower exponential possibility distributions," European Journal of Operational Research, Elsevier, vol. 114(1), pages 115-126, April.
    13. Mansini, Renata & Speranza, Maria Grazia, 1999. "Heuristic algorithms for the portfolio selection problem with minimum transaction lots," European Journal of Operational Research, Elsevier, vol. 114(2), pages 219-233, April.
    14. Yong Fang & Kin Keung Lai & Shouyang Wang, 2008. "Fuzzy Portfolio Optimization," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-540-77926-1, October.
    15. Mansini, Renata & Ogryczak, Wlodzimierz & Speranza, M. Grazia, 2014. "Twenty years of linear programming based portfolio optimization," European Journal of Operational Research, Elsevier, vol. 234(2), pages 518-535.
    16. Madlener, Reinhard & Glensk, Barbara & Raymond, Paul, 2009. "Investigation of E.ON’s Power Generation Assets by Using Mean-Variance Portfolio Analysis," FCN Working Papers 12/2009, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Dergiades, Theologos & Madlener, Reinhard & Christofidou, Georgia, 2018. "The nexus between natural gas spot and futures prices at NYMEX: Do weather shocks and non-linear causality in low frequencies matter?," The Journal of Economic Asymmetries, Elsevier, vol. 18(C), pages 1-1.
    2. Bernstein, Ronald & Madlener, Reinhard, 2011. "Responsiveness of Residential Electricity Demand in OECD Countries: A Panel Cointegation and Causality Analysis," FCN Working Papers 8/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    3. Michelsen, Carl Christian & Madlener, Reinhard, 2011. "Homeowners' Preferences for Adopting Residential Heating Systems: A Discrete Choice Analysis for Germany," FCN Working Papers 9/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    4. Madlener, Reinhard & Glensk, Barbara & Weber, Veronika, 2011. "Fuzzy Portfolio Optimization of Onshore Wind Power Plants," FCN Working Papers 10/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN), revised Jul 2014.
    5. Rohlfs, Wilko & Madlener, Reinhard, 2013. "Challenges in the Evaluation of Ultra-Long-Lived Projects: Risk Premia for Projects with Eternal Returns or Costs," FCN Working Papers 13/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    6. Carlo Mari, 2018. "CO 2 Price Volatility Effects on Optimal Power System Portfolios," Energies, MDPI, vol. 11(7), pages 1-18, July.
    7. Dumiter Florin Cornel & Turcaș Florin Marius & Boiţă Marius, 2023. "Oil Shock Impact Upon Energy Companies Investment Portfolios. Trends and Evolutions in the Energy Consumption Sector," Studia Universitatis „Vasile Goldis” Arad – Economics Series, Sciendo, vol. 33(1), pages 1-27, March.
    8. Rohlfs, Wilko & Madlener, Reinhard, 2011. "Multi-Commodity Real Options Analysis of Power Plant Investments: Discounting Endogenous Risk Structures," FCN Working Papers 22/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    9. Kraas, Birk & Schroedter-Homscheidt, Marion & Pulvermüller, Benedikt & Madlener, Reinhard, 2011. "Economic Assessment of a Concentrating Solar Power Forecasting System for Participation in the Spanish Electricity Market," FCN Working Papers 12/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    10. Barbara Glensk & Reinhard Madlener, 2013. "Multi-period portfolio optimization of power generation assets," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 23(4), pages 20-38.
    11. Harmsen - van Hout, Marjolein & Ghosh, Gaurav & Madlener, Reinhard, 2013. "The Impact of Green Framing on Consumers’ Valuations of Energy-Saving Measures," FCN Working Papers 7/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    12. Harmsen - van Hout, Marjolein & Ghosh, Gaurav & Madlener, Reinhard, 2013. "An Evaluation of Attribute Anchoring Bias in a Choice Experimental Setting," FCN Working Papers 6/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    13. La Monaca, Sarah & Assereto, Martina & Byrne, Julie, 2018. "Clean energy investing in public capital markets: Portfolio benefits of yieldcos," Energy Policy, Elsevier, vol. 121(C), pages 383-393.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Branda, Martin, 2013. "Diversification-consistent data envelopment analysis with general deviation measures," European Journal of Operational Research, Elsevier, vol. 226(3), pages 626-635.
    2. Schuhmacher, Frank & Auer, Benjamin R., 2014. "Sufficient conditions under which SSD- and MR-efficient sets are identical," European Journal of Operational Research, Elsevier, vol. 239(3), pages 756-763.
    3. Rohlfs, Wilko & Madlener, Reinhard, 2011. "Multi-Commodity Real Options Analysis of Power Plant Investments: Discounting Endogenous Risk Structures," FCN Working Papers 22/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    4. Rohlfs, Wilko & Madlener, Reinhard, 2013. "Challenges in the Evaluation of Ultra-Long-Lived Projects: Risk Premia for Projects with Eternal Returns or Costs," FCN Working Papers 13/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    5. Liu, Yong-Jun & Zhang, Wei-Guo, 2015. "A multi-period fuzzy portfolio optimization model with minimum transaction lots," European Journal of Operational Research, Elsevier, vol. 242(3), pages 933-941.
    6. Francesco Cesarone & Andrea Scozzari & Fabio Tardella, 2015. "Linear vs. quadratic portfolio selection models with hard real-world constraints," Computational Management Science, Springer, vol. 12(3), pages 345-370, July.
    7. Madlener, Reinhard & Glensk, Barbara & Weber, Veronika, 2011. "Fuzzy Portfolio Optimization of Onshore Wind Power Plants," FCN Working Papers 10/2011, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN), revised Jul 2014.
    8. Harmsen - van Hout, Marjolein & Ghosh, Gaurav & Madlener, Reinhard, 2013. "The Impact of Green Framing on Consumers’ Valuations of Energy-Saving Measures," FCN Working Papers 7/2013, E.ON Energy Research Center, Future Energy Consumer Needs and Behavior (FCN).
    9. Dergiades, Theologos & Madlener, Reinhard & Christofidou, Georgia, 2018. "The nexus between natural gas spot and futures prices at NYMEX: Do weather shocks and non-linear causality in low frequencies matter?," The Journal of Economic Asymmetries, Elsevier, vol. 18(C), pages 1-1.
    10. Fracasso, Laís Martins & Müller, Fernanda Maria & Ramos, Henrique Pinto & Righi, Marcelo Brutti, 2023. "Is there a risk premium? Evidence from thirteen measures," The Quarterly Review of Economics and Finance, Elsevier, vol. 92(C), pages 182-199.
    11. Davide Lauria & W. Brent Lindquist & Svetlozar T. Rachev, 2023. "Enhancing CVaR portfolio optimisation performance with GAM factor models," Papers 2401.00188, arXiv.org.
    12. Salo, Ahti & Doumpos, Michalis & Liesiö, Juuso & Zopounidis, Constantin, 2024. "Fifty years of portfolio optimization," European Journal of Operational Research, Elsevier, vol. 318(1), pages 1-18.
    13. Rockafellar, R. Tyrrell & Uryasev, Stan & Zabarankin, M., 2007. "Equilibrium with investors using a diversity of deviation measures," Journal of Banking & Finance, Elsevier, vol. 31(11), pages 3251-3268, November.
    14. Andreas H Hamel, 2018. "Monetary Measures of Risk," Papers 1812.04354, arXiv.org.
    15. Balbás, Alejandro & Balbás, Beatriz & Balbás, Raquel, 2010. "CAPM and APT-like models with risk measures," Journal of Banking & Finance, Elsevier, vol. 34(6), pages 1166-1174, June.
    16. Schoch, Daniel, 2017. "Generalised mean-risk preferences," Journal of Economic Theory, Elsevier, vol. 168(C), pages 12-26.
    17. Songkomkrit Chaiyakan & Phantipa Thipwiwatpotjana, 2021. "Bounds on mean absolute deviation portfolios under interval-valued expected future asset returns," Computational Management Science, Springer, vol. 18(2), pages 195-212, June.
    18. P. Bonami & M. A. Lejeune, 2009. "An Exact Solution Approach for Portfolio Optimization Problems Under Stochastic and Integer Constraints," Operations Research, INFORMS, vol. 57(3), pages 650-670, June.
    19. Allen, D.E. & Powell, R.J. & Singh, A.K., 2016. "Take it to the limit: Innovative CVaR applications to extreme credit risk measurement," European Journal of Operational Research, Elsevier, vol. 249(2), pages 465-475.
    20. Mansini, Renata & Ogryczak, Wlodzimierz & Speranza, M. Grazia, 2014. "Twenty years of linear programming based portfolio optimization," European Journal of Operational Research, Elsevier, vol. 234(2), pages 518-535.

    More about this item

    Keywords

    Portfolio Analysis; Semi-mean-absolute Deviation Model; Fuzzy Sets Theory; Optimal Power Generation Mix;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Operations Research; Statistical Decision Theory
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • Q40 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Energy - - - General

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:ris:fcnwpa:2010_010. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Hendrik Schmitz (email available below). General contact details of provider: https://edirc.repec.org/data/fceonde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.