IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2001.05788.html
   My bibliography  Save this paper

Quadratic Hedging and Optimization of Option Exercise Policies

Author

Listed:
  • Nicola Secomandi

Abstract

Quadratic hedging of option payoffs generates the variance optimal martingale measure. When an option features an exercise policy and its cash flows are hedged according to this approach, it may be tempting to optimize such a policy under this measure. Because the variance optimal martingale measure may not be an equivalent probability measure, focusing on American options we show that the resulting exercise policy may be unappealing. This drawback can sometimes be remedied by imposing time consistency on exercise policies, but in general persists even in this case, which compounds the familiar issue that valuing an option using this measure may not result in an arbitrage free value. An alternative and known approach bypasses both of these pitfalls by optimizing option exercise policies under any given equivalent martingale measure and anchoring quadratic hedging to the resulting value of this policy. Additional research may assess on realistic applications the magnitude of the limitations associated with optimizing option exercise policies based on the variance optimal martingale measure.

Suggested Citation

  • Nicola Secomandi, 2020. "Quadratic Hedging and Optimization of Option Exercise Policies," Papers 2001.05788, arXiv.org, revised May 2022.
    • Handle: RePEc:arx:papers:2001.05788
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2001.05788
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Martin Schweizer, 1995. "Variance-Optimal Hedging in Discrete Time," Mathematics of Operations Research, INFORMS, vol. 20(1), pages 1-32, February.
    2. Andrzej Ruszczyński & Alexander Shapiro, 2006. "Conditional Risk Mappings," Mathematics of Operations Research, INFORMS, vol. 31(3), pages 544-561, August.
    3. Swindle,Glen, 2014. "Valuation and Risk Management in Energy Markets," Cambridge Books, Cambridge University Press, number 9781107036840, January.
    4. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    5. Manfred Schäl, 1994. "On Quadratic Cost Criteria for Option Hedging," Mathematics of Operations Research, INFORMS, vol. 19(1), pages 121-131, February.
    6. Driessen, Joost & Klaassen, Pieter & Melenberg, Bertrand, 2003. "The Performance of Multi-Factor Term Structure Models for Pricing and Hedging Caps and Swaptions," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 38(3), pages 635-672, September.
    7. Friedrich Hubalek & Jan Kallsen & Leszek Krawczyk, 2006. "Variance-optimal hedging for processes with stationary independent increments," Papers math/0607112, arXiv.org.
    8. Secomandi, Nicola, 2019. "Quadratic Hedging of Commodity and Energy Cash Flows," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 12(2-3), pages 240-253, March.
    9. James E. Smith & Robert F. Nau, 1995. "Valuing Risky Projects: Option Pricing Theory and Decision Analysis," Management Science, INFORMS, vol. 41(5), pages 795-816, May.
    10. Nicola Secomandi & Guoming Lai & François Margot & Alan Scheller-Wolf & Duane J. Seppi, 2015. "Merchant Commodity Storage and Term-Structure Model Error," Manufacturing & Service Operations Management, INFORMS, vol. 17(3), pages 302-320, July.
    11. Michael R. Walls & James S. Dyer, 1996. "Risk Propensity and Firm Performance: A Study of the Petroleum Exploration Industry," Management Science, INFORMS, vol. 42(7), pages 1004-1021, July.
    12. Guthrie, Graeme, 2009. "Real Options in Theory and Practice," OUP Catalogue, Oxford University Press, number 9780195380637.
    13. Black, Fischer, 1976. "The pricing of commodity contracts," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 167-179.
    14. James E. Smith, 2005. "Alternative Approaches for Solving Real-Options Problems," Decision Analysis, INFORMS, vol. 2(2), pages 89-102, June.
    15. Dimitris Bertsimas & Leonid Kogan & Andrew W. Lo, 2001. "Hedging Derivative Securities and Incomplete Markets: An (epsilon)-Arbitrage Approach," Operations Research, INFORMS, vol. 49(3), pages 372-397, June.
    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. Secomandi, Nicola, 2022. "Quadratic hedging of risk neutral values," Energy Economics, Elsevier, vol. 112(C).

    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. Secomandi, Nicola, 2022. "Quadratic hedging of risk neutral values," Energy Economics, Elsevier, vol. 112(C).
    2. Anna Maria Gambaro & Nicola Secomandi, 2021. "A Discussion of Non‐Gaussian Price Processes for Energy and Commodity Operations," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 47-67, January.
    3. Lukas Auer, 2013. "SOA investment decision-making using real options analysis," International Journal of Services, Economics and Management, Inderscience Enterprises Ltd, vol. 5(1/2), pages 21-40.
    4. Sripad K. Devalkar & Ravi Anupindi & Amitabh Sinha, 2018. "Dynamic Risk Management of Commodity Operations: Model and Analysis," Manufacturing & Service Operations Management, INFORMS, vol. 20(2), pages 317-332, May.
    5. Secomandi, Nicola, 2016. "A tutorial on portfolio-based control algorithms for merchant energy trading operations," Journal of Commodity Markets, Elsevier, vol. 4(1), pages 1-13.
    6. Aleš Černý, 2007. "Optimal Continuous‐Time Hedging With Leptokurtic Returns," Mathematical Finance, Wiley Blackwell, vol. 17(2), pages 175-203, April.
    7. Canyakmaz, Caner & Özekici, Süleyman & Karaesmen, Fikri, 2024. "Risk management through financial hedging in inventory systems with stochastic price processes," International Journal of Production Economics, Elsevier, vol. 270(C).
    8. Sahoo, Nihar R. & Mohapatra, Pratap K.J. & Mahanty, Biswajit, 2017. "Compliance choice analysis for India's thermal power sector in the market-based energy efficiency regime," Energy Policy, Elsevier, vol. 108(C), pages 624-633.
    9. Secomandi, Nicola & Seppi, Duane J., 2014. "Real Options and Merchant Operations of Energy and Other Commodities," Foundations and Trends(R) in Technology, Information and Operations Management, now publishers, vol. 6(3-4), pages 161-331, July.
    10. Jiao Wang & Lima Zhao & Arnd Huchzermeier, 2021. "Operations‐Finance Interface in Risk Management: Research Evolution and Opportunities," Production and Operations Management, Production and Operations Management Society, vol. 30(2), pages 355-389, February.
    11. Unterschultz, James R., 2000. "New Instruments For Co-Ordination And Risk Sharing Within The Canadian Beef Industry," Project Report Series 24046, University of Alberta, Department of Resource Economics and Environmental Sociology.
    12. Kim, Amy M. & Li, Huanan, 2020. "Incorporating the impacts of climate change in transportation infrastructure decision models," Transportation Research Part A: Policy and Practice, Elsevier, vol. 134(C), pages 271-287.
    13. Alain Bensoussan & Benoit Chevalier-Roignant & Alejandro Rivera, 2022. "A model for wind farm management with option interactions," Post-Print hal-04325553, HAL.
    14. Seiji Harikae & James S. Dyer & Tianyang Wang, 2021. "Valuing Real Options in the Volatile Real World," Production and Operations Management, Production and Operations Management Society, vol. 30(1), pages 171-189, January.
    15. Klaus Mohn & Petter Osmundsen, 2011. "Asymmetry and uncertainty in capital formation: an application to oil investment," Applied Economics, Taylor & Francis Journals, vol. 43(28), pages 4387-4401.
    16. Alexandre Carbonneau & Fr'ed'eric Godin, 2021. "Deep equal risk pricing of financial derivatives with non-translation invariant risk measures," Papers 2107.11340, arXiv.org.
    17. 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.
    18. Barbara Glensk & Christiane Rosen & Reinhard Madlener, 2016. "A Real Options Model for the Disinvestment in Conventional Power Plants," Operations Research Proceedings, in: Marco Lübbecke & Arie Koster & Peter Letmathe & Reinhard Madlener & Britta Peis & Grit Walther (ed.), Operations Research Proceedings 2014, edition 1, pages 173-179, Springer.
    19. Bai, Yang & Meng, Jie & Meng, Fanyi & Fang, Guochang, 2020. "Stochastic analysis of a shale gas investment strategy for coping with production uncertainties," Energy Policy, Elsevier, vol. 144(C).
    20. 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.

    More about this item

    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:arx:papers:2001.05788. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.