IDEAS home Printed from https://ideas.repec.org/a/inm/ordeca/v7y2010i1p107-122.html
   My bibliography  Save this article

Optimal Static Hedging of Volumetric Risk in a Competitive Wholesale Electricity Market

Author

Listed:
  • Yumi Oum

    (Pacific Gas and Electric Company, San Francisco, California 94105)

  • Shmuel S. Oren

    (Department of Industrial Engineering and Operations Research, University of California, Berkeley, Berkeley, California 94720)

Abstract

In competitive wholesale electricity markets, regulated load-serving entities (LSEs) and marketers with default service contracts have obligations to serve fluctuating load at predetermined fixed prices while meeting their obligation through combinations of long-term contracts, wholesale purchases, and self-generation that are subject to volatile prices or opportunity cost. Hence, their net profits are exposed to joint price and quantity risk, both of which are correlated with weather variations. In this paper, we develop a static hedging strategy for the LSE (or marketer) whose objective is to minimize a mean-variance utility function over net profit, subject to a self-financing constraint. Because quantity risk is nontraded, the hedge consists of a portfolio of price-based financial energy instruments, including a bond, forward contract, and a spectrum of European call and put options with various strike prices. The optimal hedging strategy is jointly optimized with respect to contracting time and the portfolio mix, which varies with contract timing, under specific price and quantity dynamics and the assumption that the hedging portfolio, which matures at the time of physical energy delivery, is purchased at a single point in time. Explicit analytical results are derived for the special case where price and quantity follow correlated Ito processes.

Suggested Citation

  • Yumi Oum & Shmuel S. Oren, 2010. "Optimal Static Hedging of Volumetric Risk in a Competitive Wholesale Electricity Market," Decision Analysis, INFORMS, vol. 7(1), pages 107-122, March.
  • Handle: RePEc:inm:ordeca:v:7:y:2010:i:1:p:107-122
    DOI: 10.1287/deca.1090.0167
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/deca.1090.0167
    Download Restriction: no

    File URL: https://libkey.io/10.1287/deca.1090.0167?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Moschini, Giancarlo & Lapan, Harvey, 1995. "The Hedging Role of Options and Futures under Joint Price, Basis, and Production Risk," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 36(4), pages 1025-1049, November.
    2. He, Hua & Pages, Henri F, 1993. "Labor Income, Borrowing Constraints, and Equilibrium Asset Prices," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 663-696, October.
    3. Vehvilainen, Iivo & Keppo, Jussi, 2003. "Managing electricity market price risk," European Journal of Operational Research, Elsevier, vol. 145(1), pages 136-147, February.
    4. Kimball, Miles S, 1990. "Precautionary Saving in the Small and in the Large," Econometrica, Econometric Society, vol. 58(1), pages 53-73, January.
    5. Lee, Yongheon & Oren, Shmuel S., 2009. "An equilibrium pricing model for weather derivatives in a multi-commodity setting," Energy Economics, Elsevier, vol. 31(5), pages 702-713, September.
    6. Colin Loxley & David Salant, 2004. "Default Service Auctions," Journal of Regulatory Economics, Springer, vol. 26(2), pages 201-229, September.
    7. Mingxin Xu, 2006. "Risk measure pricing and hedging in incomplete markets," Annals of Finance, Springer, vol. 2(1), pages 51-71, January.
    8. Ronald I. McKinnon, 1967. "Futures Markets, Buffer Stocks, and Income Stability for Primary Producers," Journal of Political Economy, University of Chicago Press, vol. 75(6), pages 844-844.
    9. Hipòlit Torró & Julio Lucia, 2008. "Short-term electricity futures prices: Evidence on the time-varying risk premium," Working Papers. Serie EC 2008-08, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    10. Kimball, Miles S, 1993. "Standard Risk Aversion," Econometrica, Econometric Society, vol. 61(3), pages 589-611, May.
    11. Darrell Duffie & Thaleia Zariphopoulou, 1993. "Optimal Investment With Undiversifiable Income Risk," Mathematical Finance, Wiley Blackwell, vol. 3(2), pages 135-148, April.
    12. Holthausen, Duncan M, 1979. "Hedging and the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 69(5), pages 989-995, December.
    13. Danthine, Jean-Pierre, 1978. "Information, futures prices, and stabilizing speculation," Journal of Economic Theory, Elsevier, vol. 17(1), pages 79-98, February.
    14. P. Carr & D. Madan, 2001. "Optimal positioning in derivative securities," Quantitative Finance, Taylor & Francis Journals, vol. 1(1), pages 19-37.
    15. Woo, Chi-Keung & Karimov, Rouslan I. & Horowitz, Ira, 2004. "Managing electricity procurement cost and risk by a local distribution company," Energy Policy, Elsevier, vol. 32(5), pages 635-645, March.
    16. Andrea Morone, 2008. "Comparison of Mean-Variance Theory and Expected-Utility Theory through a Laboratory Experiment," Economics Bulletin, AccessEcon, vol. 3(40), pages 1-7.
    17. Oren, Shmuel S., 2005. "Generation Adequacy via Call Options Obligations: Safe Passage to the Promised Land," The Electricity Journal, Elsevier, vol. 18(9), pages 28-42, November.
    18. Gregory W. Brown & Klaus Bjerre Toft, 2002. "How Firms Should Hedge," The Review of Financial Studies, Society for Financial Studies, vol. 15(4), pages 1283-1324.
    19. Wong, Kit Pong, 2003. "Currency hedging with options and futures," European Economic Review, Elsevier, vol. 47(5), pages 833-839, October.
    20. Unknown, 2005. "Forward," 2005 Conference: Slovenia in the EU - Challenges for Agriculture, Food Science and Rural Affairs, November 10-11, 2005, Moravske Toplice, Slovenia 183804, Slovenian Association of Agricultural Economists (DAES).
    21. Gershon Feder & Richard E. Just & Andrew Schmitz, 1980. "Futures Markets and the Theory of the Firm under Price Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(2), pages 317-328.
    22. Dong‐Hyun Ahn & Jacob Boudoukh & Matthew Richardson & Robert F. Whitelaw, 1999. "Optimal Risk Management Using Options," Journal of Finance, American Finance Association, vol. 54(1), pages 359-375, February.
    23. Paul R. Kleindorfer & Lide Li, 2005. "Multi-Period VaR-Constrained Portfolio Optimization with Applications to the Electric Power Sector," The Energy Journal, International Association for Energy Economics, vol. 0(Number 1), pages 1-26.
    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. Biggar, Darryl R. & Hesamzadeh, Mohammad Reza, 2022. "An integrated theory of dispatch and hedging in wholesale electric power markets," Energy Economics, Elsevier, vol. 112(C).
    2. Boroumand, Raphaël Homayoun & Goutte, Stéphane & Porcher, Simon & Porcher, Thomas, 2015. "Hedging strategies in energy markets: The case of electricity retailers," Energy Economics, Elsevier, vol. 51(C), pages 503-509.
    3. Janne Kettunen & Eissa Nematollahi & Yuriy Zinchenko, 2022. "Why do Energy Markets in Europe Rely on One Instrument?," Production and Operations Management, Production and Operations Management Society, vol. 31(4), pages 1473-1491, April.
    4. Matsumoto, Takuji & Yamada, Yuji, 2021. "Simultaneous hedging strategy for price and volume risks in electricity businesses using energy and weather derivatives1," Energy Economics, Elsevier, vol. 95(C).
    5. Tranberg, Bo & Hansen, Rasmus Thrane & Catania, Leopoldo, 2020. "Managing volumetric risk of long-term power purchase agreements," Energy Economics, Elsevier, vol. 85(C).
    6. Souhir, Ben Amor & Heni, Boubaker & Lotfi, Belkacem, 2019. "Price risk and hedging strategies in Nord Pool electricity market evidence with sector indexes," Energy Economics, Elsevier, vol. 80(C), pages 635-655.
    7. Hesamzadeh, Mohammad Reza & Biggar, Darryl R., 2021. "Generalized FTRs for hedging inter-nodal pricing risk," Energy Economics, Elsevier, vol. 94(C).
    8. Johannes Kaufmann & Philipp Artur Kienscherf & Wolfgang Ketter, 2020. "Modeling and Managing Joint Price and Volumetric Risk for Volatile Electricity Portfolios," Energies, MDPI, vol. 13(14), pages 1-19, July.
    9. Alfredo Trespalacios & Lina M. Cortés & Javier Perote, 2021. "Modeling Electricity Price and Quantity Uncertainty: An Application for Hedging with Forward Contracts," Energies, MDPI, vol. 14(11), pages 1-26, June.
    10. Boroumand, Raphaël-Homayoun & Goutte, Stéphane & Guesmi, Khaled & Porcher, Thomas, 2019. "Potential benefits of optimal intra-day electricity hedging for the environment: The perspective of electricity retailers," Energy Policy, Elsevier, vol. 132(C), pages 1120-1129.
    11. Bell, Peter N, 2014. "The variance-minimizing hedge with put options," MPRA Paper 62156, University Library of Munich, Germany.
    12. Bhattacharya, Saptarshi & Gupta, Aparna & Kar, Koushik & Owusu, Abena, 2020. "Risk management of renewable power producers from co-dependencies in cash flows," European Journal of Operational Research, Elsevier, vol. 283(3), pages 1081-1093.
    13. Pircalabu, A. & Hvolby, T. & Jung, J. & Høg, E., 2017. "Joint price and volumetric risk in wind power trading: A copula approach," Energy Economics, Elsevier, vol. 62(C), pages 139-154.
    14. Takuji Matsumoto & Yuji Yamada, 2023. "Improving the Efficiency of Hedge Trading Using Higher-Order Standardized Weather Derivatives for Wind Power," Energies, MDPI, vol. 16(7), pages 1-22, March.
    15. Nicola Secomandi & Sunder Kekre, 2014. "Optimal Energy Procurement in Spot and Forward Markets," Manufacturing & Service Operations Management, INFORMS, vol. 16(2), pages 270-282, May.
    16. Robert F. Bordley & Elena Katok & L. Robin Keller, 2010. "Honoring Michael H. Rothkopf's Legacy of Rigor and Relevance in Auction Theory: From the Editors," Decision Analysis, INFORMS, vol. 7(1), pages 1-4, March.
    17. Pankaj Pandey & Einar Snekkenes, 2016. "Using Financial Instruments to Transfer the Information Security Risks," Future Internet, MDPI, vol. 8(2), pages 1-62, May.
    18. Yuji Yamada & Takuji Matsumoto, 2023. "Construction of Mixed Derivatives Strategy for Wind Power Producers," Energies, MDPI, vol. 16(9), pages 1-26, April.
    19. Russo, Marianna & Bertsch, Valentin, 2020. "A looming revolution: Implications of self-generation for the risk exposure of retailers," Energy Economics, Elsevier, vol. 92(C).
    20. Peña, Juan Ignacio & Rodriguez, Rosa, 2018. "Default supply auctions in electricity markets: Challenges and proposals," Energy Policy, Elsevier, vol. 122(C), pages 142-151.
    21. Debbie Dupuis, Geneviève Gauthier, and Fréderic Godin, 2016. "Short-term Hedging for an Electricity Retailer," The Energy Journal, International Association for Energy Economics, vol. 0(Number 2).

    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. Andreas Röthig, 2009. "Microeconomic Risk Management and Macroeconomic Stability," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-01565-6, October.
    2. Kit Wong, 2014. "Hedging and the competitive firm under correlated price and background risk," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 37(2), pages 329-340, October.
    3. Meng, Rujing & Wong, Kit Pong, 2010. "Multinationals and futures hedging: An optimal stopping approach," Global Finance Journal, Elsevier, vol. 21(1), pages 13-25.
    4. Kit Pong Wong, 2022. "Production and hedging under correlated price and background risks," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 45(1), pages 241-256, June.
    5. Korn, Olaf & Rieger, Marc Oliver, 2016. "Hedging with regret," CFR Working Papers 16-06, University of Cologne, Centre for Financial Research (CFR).
    6. Korn, Olaf & Rieger, Marc Oliver, 2019. "Hedging with regret," Journal of Behavioral and Experimental Finance, Elsevier, vol. 22(C), pages 192-205.
    7. Wong, Kit Pong, 2002. "Production decisions in the presence of options: A note," International Review of Economics & Finance, Elsevier, vol. 11(1), pages 17-25, April.
    8. Yumi Oum & Shmuel Oren & Shijie Deng, 2006. "Hedging quantity risks with standard power options in a competitive wholesale electricity market," Naval Research Logistics (NRL), John Wiley & Sons, vol. 53(7), pages 697-712, October.
    9. Javier Orlando Pantoja Robayo & Andrea Roncoroni, 2012. "Optimal Static Hedging of Energy Price and Volume Risk: Closed-Form Results," Documentos de Trabajo de Valor Público 10668, Universidad EAFIT.
    10. Wong, Kit Pong, 2012. "Production and futures hedging with state-dependent background risk," International Review of Economics & Finance, Elsevier, vol. 24(C), pages 177-184.
    11. Kit Pong Wong, 2015. "Export And Hedging Decisions Under Correlated Revenue And Exchange Rate Risk," Bulletin of Economic Research, Wiley Blackwell, vol. 67(4), pages 371-381, October.
    12. Hennessy, David A., 1998. "Risk Market Innovations and Choice," International Review of Economics & Finance, Elsevier, vol. 7(3), pages 331-341.
    13. David J. Pannell & Getu Hailu & Alfons Weersink & Amanda Burt, 2008. "More reasons why farmers have so little interest in futures markets," Agricultural Economics, International Association of Agricultural Economists, vol. 39(1), pages 41-50, July.
    14. Roncoroni, Andrea & Id Brik, Rachid, 2017. "Hedging size risk: Theory and application to the US gas market," Energy Economics, Elsevier, vol. 64(C), pages 415-437.
    15. Rausser, Gordon C & Carter, Colin, 1983. "Futures Market Efficiency in the Soybean Complex," The Review of Economics and Statistics, MIT Press, vol. 65(3), pages 469-478, August.
    16. Hennessy, David A., 1997. "Equilibrium in production and futures markets," Journal of Economics and Business, Elsevier, vol. 49(5), pages 399-418.
    17. Benninga, Simon Z. & Oosterhof, Casper M., 2004. "Hedging with forwards and puts in complete and incomplete markets," Journal of Banking & Finance, Elsevier, vol. 28(1), pages 1-17, January.
    18. Falatoonzadeh, Hamid & Conner, J. Richard & Pope, Rulon D., 1985. "Risk Management Strategies To Reduce Net Income Variability For Farmers," Southern Journal of Agricultural Economics, Southern Agricultural Economics Association, vol. 17(1), pages 1-14, July.
    19. Röthig, Andreas, 2008. "The Impact of Backwardation on Hedgers' Demand for Currency Futures Contracts: Theory versus Empirical Evidence," Publications of Darmstadt Technical University, Institute for Business Studies (BWL) 35698, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute for Business Studies (BWL).
    20. Kim, Jae-Gyeong, 1993. "Futures markets in an open economy," ISU General Staff Papers 1993010108000011461, Iowa State University, Department of Economics.

    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:inm:ordeca:v:7:y:2010:i:1:p:107-122. 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: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.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.