IDEAS home Printed from https://ideas.repec.org/a/eee/eneeco/v64y2017icp415-437.html
   My bibliography  Save this article

Hedging size risk: Theory and application to the US gas market

Author

Listed:
  • Roncoroni, Andrea
  • Id Brik, Rachid

Abstract

Many corporate commitments exhibit a combined financial exposure to both market prices and idiosyncratic size components (e.g., volume, load, or business turnover). We design a customized contract to optimally mitigate the risk of joint fluctuations in price and size terms. The hedge is sought out among contingent claims written on price and any quoted index that is statistically dependent on commitment size. Closed-form solutions are derived for the optimal custom hedge pay-off and for the asset holdings of two market strategies, one based on price-linked forwards, the other based on price-linked and index-linked forwards. Analytical hedges are obtained using a stylized lognormal market model. Detailed comparative statics provide a thorough analysis of optimal hedging pay-off functions. Performance assessment is conducted in the context of the US gas market and a prototypical urban region. Results suggest that hedging through suitable custom claims written on price and an additional index significantly outperforms standard price-based as well as mixed price-index forward hedging alternatives. Our optimal custom hedge could be adopted as a benchmark for the relative assessment of any risk management solution.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:eneeco:v:64:y:2017:i:c:p:415-437
    DOI: 10.1016/j.eneco.2016.10.020
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0140988316303012
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.eneco.2016.10.020?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sergio H. Lence, 1995. "The Economic Value of Minimum-Variance Hedges," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 77(2), pages 353-364.
    2. Harvey Lapan & Giancarlo Moschini & Steven D. Hanson, 1991. "Production, Hedging, and Speculative Decisions with Options and Futures Markets," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(1), pages 66-74.
    3. Peter Berling & Victor Martínez-de-Albéniz, 2011. "Optimal Inventory Policies when Purchase Price and Demand Are Stochastic," Operations Research, INFORMS, vol. 59(1), pages 109-124, February.
    4. J. Michael Harrison & Stanley R. Pliska, 1981. "Martingales and Stochastic Integrals in the Theory of Continous Trading," Discussion Papers 454, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    5. Cartea, Álvaro & Williams, Thomas, 2008. "UK gas markets: The market price of risk and applications to multiple interruptible supply contracts," Energy Economics, Elsevier, vol. 30(3), pages 829-846, May.
    6. repec:bla:econom:v:60:y:1993:i:240:p:413-31 is not listed on IDEAS
    7. Huisman, Ronald & Mahieu, Ronald & Schlichter, Felix, 2009. "Electricity portfolio management: Optimal peak/off-peak allocations," Energy Economics, Elsevier, vol. 31(1), pages 169-174, January.
    8. Frestad, Dennis, 2010. "Corporate hedging under a resource rent tax regime," Energy Economics, Elsevier, vol. 32(2), pages 458-468, March.
    9. Huisman, R. & Mahieu, R.J. & Schlichter, F., 2007. "Hedging Exposure to Electricity Price Risk in a Value at Risk Framework," ERIM Report Series Research in Management ERS-2007-013-F&A, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    10. Fusai, Gianluca & Marena, Marina & Roncoroni, Andrea, 2008. "Analytical pricing of discretely monitored Asian-style options: Theory and application to commodity markets," Journal of Banking & Finance, Elsevier, vol. 32(10), pages 2033-2045, October.
    11. William G. Tomek & Hikaru Hanawa Peterson, 2001. "Risk Management in Agricultural Markets: A Review," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 21(10), pages 953-985, October.
    12. 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.
    13. repec:bla:jfinan:v:43:y:1988:i:1:p:143-53 is not listed on IDEAS
    14. 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.
    15. Harrison, J. Michael & Pliska, Stanley R., 1981. "Martingales and stochastic integrals in the theory of continuous trading," Stochastic Processes and their Applications, Elsevier, vol. 11(3), pages 215-260, August.
    16. 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).
    17. Alexander, Carol & Prokopczuk, Marcel & Sumawong, Anannit, 2013. "The (de)merits of minimum-variance hedging: Application to the crack spread," Energy Economics, Elsevier, vol. 36(C), pages 698-707.
    18. Stephen D. Treanor & Betty J. Simkins & Daniel A. Rogers & David A. Carter, 2014. "Does Operational and Financial Hedging Reduce Exposure? Evidence from the U.S. Airline Industry," The Financial Review, Eastern Finance Association, vol. 49(1), pages 149-172, February.
    19. Harvey Lapan & Giancarlo Moschini, 1994. "Futures Hedging Under Price, Basis, and Production Risk," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(3), pages 465-477.
    20. Samuel Hikspoors & Sebastian Jaimungal, 2007. "Energy Spot Price Models And Spread Options Pricing," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 10(07), pages 1111-1135.
    21. 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.
    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.
    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. Qi Zhang & Shaohua Zhang & Xian Wang & Xue Li & Lei Wu, 2020. "Conditional-Robust-Profit-Based Optimization Model for Electricity Retailers with Shiftable Demand," Energies, MDPI, vol. 13(6), pages 1-19, March.
    2. Jonathan Berrisch & Florian Ziel, 2022. "Distributional modeling and forecasting of natural gas prices," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 41(6), pages 1065-1086, September.
    3. Roncoroni, Andrea & Prokopczuk, Marcel & Ronn, Ehud I., 2018. "Introduction—special issue on commodity and energy markets in the Journal of Banking and Finance," Journal of Banking & Finance, Elsevier, vol. 95(C), pages 1-4.
    4. Secomandi, Nicola, 2022. "Quadratic hedging of risk neutral values," Energy Economics, Elsevier, vol. 112(C).
    5. Haitao Xiang & Ying Kong & Wai Kin Victor Chan & Sum Wai Chiang, 2019. "Impact of Price–Quantity Uncertainties and Risk Aversion on Energy Retailer’s Pricing and Hedging Behaviors," Energies, MDPI, vol. 12(17), pages 1-20, August.

    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. 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.
    2. Raphaël H. Boroumand & Stéphane Goutte & Ehud I. Ronn, 2020. "Characterizing the hedging policies of commodity price‐sensitive corporations," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 40(8), pages 1264-1281, August.
    3. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    4. Shao, Chengwu & Bhar, Ramaprasad & Colwell, David B., 2015. "A multi-factor model with time-varying and seasonal risk premiums for the natural gas market," Energy Economics, Elsevier, vol. 50(C), pages 207-214.
    5. Cartea, Álvaro & González-Pedraz, Carlos, 2012. "How much should we pay for interconnecting electricity markets? A real options approach," Energy Economics, Elsevier, vol. 34(1), pages 14-30.
    6. Haitao Xiang & Ying Kong & Wai Kin Victor Chan & Sum Wai Chiang, 2019. "Impact of Price–Quantity Uncertainties and Risk Aversion on Energy Retailer’s Pricing and Hedging Behaviors," Energies, MDPI, vol. 12(17), pages 1-20, August.
    7. Tomek, William G. & Peterson, Hikaru Hanawa, 2000. "Risk Management in Agricultural Markets: A Survey," Staff Papers 121140, Cornell University, Department of Applied Economics and Management.
    8. Bajo, Emanuele & Barbi, Massimiliano & Romagnoli, Silvia, 2014. "Optimal corporate hedging using options with basis and production risk," The North American Journal of Economics and Finance, Elsevier, vol. 30(C), pages 56-71.
    9. Andreas Röthig, 2009. "Microeconomic Risk Management and Macroeconomic Stability," Lecture Notes in Economics and Mathematical Systems, Springer, number 978-3-642-01565-6, July.
    10. Frechette, Darren L., 2000. "Hedging With Futures And Options: A Demand Systems Approach," 2000 Conference, April 17-18 2000, Chicago, Illinois 18941, NCR-134 Conference on Applied Commodity Price Analysis, Forecasting, and Market Risk Management.
    11. Romain Blanchard & Laurence Carassus, 2021. "Convergence of utility indifference prices to the superreplication price in a multiple‐priors framework," Mathematical Finance, Wiley Blackwell, vol. 31(1), pages 366-398, January.
    12. Alan Beggs, 2021. "Afriat and arbitrage," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(2), pages 167-176, October.
    13. Marcelo F. Perillo, 2021. "Valuación de Títulos de Deuda Indexados al Comportamiento de un Índice Accionario: Un Modelo sin Riesgo de Crédito," CEMA Working Papers: Serie Documentos de Trabajo. 784, Universidad del CEMA.
    14. Chris Kenyon & Andrew Green, 2015. "Self-Financing Trading and the Ito-Doeblin Lemma," Papers 1501.02750, arXiv.org.
    15. Damir Filipovi'c & Martin Larsson, 2017. "Polynomial Jump-Diffusion Models," Papers 1711.08043, arXiv.org, revised Jul 2019.
    16. Moreno, Manuel & Novales, Alfonso & Platania, Federico, 2019. "Long-term swings and seasonality in energy markets," European Journal of Operational Research, Elsevier, vol. 279(3), pages 1011-1023.
    17. Timothy Johnson, 2015. "Reciprocity as a Foundation of Financial Economics," Journal of Business Ethics, Springer, vol. 131(1), pages 43-67, September.
    18. Bekiros, Stelios & Kouloumpou, Dimitra, 2019. "On the pricing of exotic options: A new closed-form valuation approach," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 153-162.
    19. Jovanovic, Franck & Schinckus, Christophe, 2016. "Breaking down the barriers between econophysics and financial economics," International Review of Financial Analysis, Elsevier, vol. 47(C), pages 256-266.
    20. Aymeric Ricome & Arnaud Reynaud, 2022. "Marketing contract choices in agriculture: The role of price expectation and price risk management," Agricultural Economics, International Association of Agricultural Economists, vol. 53(1), pages 170-186, January.

    More about this item

    Keywords

    Corporate risk management; Commodity risk; Contract design;
    All these keywords.

    JEL classification:

    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

    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:eee:eneeco:v:64:y:2017:i:c:p:415-437. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eneco .

    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.