IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v361y2006i1p289-296.html
   My bibliography  Save this article

Arbitrage opportunities and their implications to derivative hedging

Author

Listed:
  • Panayides, Stephanos

Abstract

We explore the role that random arbitrage opportunities play in hedging financial derivatives. We extend the asymptotic pricing theory presented by Fedotov and Panayides [Stochastic arbitrage return and its implication for option pricing, Physica A 345 (2005) 207–217] for the case of hedging a derivative when arbitrage opportunities are present in the market. We restrict ourselves to finding hedging confidence intervals that can be adapted to the amount of arbitrage risk an investor will permit to be exposed to. The resulting hedging bands are independent of the detailed statistical characteristics of the arbitrage opportunities.

Suggested Citation

  • Panayides, Stephanos, 2006. "Arbitrage opportunities and their implications to derivative hedging," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 361(1), pages 289-296.
    • Handle: RePEc:eee:phsmap:v:361:y:2006:i:1:p:289-296
    DOI: 10.1016/j.physa.2005.06.077
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437105007120
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2005.06.077?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. Bakshi, Gurdip & Cao, Charles & Chen, Zhiwu, 2000. "Pricing and hedging long-term options," Journal of Econometrics, Elsevier, vol. 94(1-2), pages 277-318.
    2. Galai, Dan, 1977. "Tests of Market Efficiency of the Chicago Board Options Exchange," The Journal of Business, University of Chicago Press, vol. 50(2), pages 167-197, April.
    3. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    4. Eric Renault & Nizar Touzi, 1996. "Option Hedging And Implied Volatilities In A Stochastic Volatility Model1," Mathematical Finance, Wiley Blackwell, vol. 6(3), pages 279-302, July.
    5. Matthias Otto, 2000. "Towards Non-Equilibrium Option Pricing Theory," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 565-565.
    6. Schweizer, Martin, 1991. "Option hedging for semimartingales," Stochastic Processes and their Applications, Elsevier, vol. 37(2), pages 339-363, April.
    7. Fedotov, Sergei & Panayides, Stephanos, 2005. "Stochastic arbitrage return and its implication for option pricing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 345(1), pages 207-217.
    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. Contreras, Mauricio & Montalva, Rodrigo & Pellicer, Rely & Villena, Marcelo, 2010. "Dynamic option pricing with endogenous stochastic arbitrage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3552-3564.
    2. Mauricio Contreras G, 2020. "Endogenous Stochastic Arbitrage Bubbles and the Black--Scholes model," Papers 2009.09329, arXiv.org.
    3. Mauricio Contreras & Rely Pellicer & Daniel Santiagos & Marcelo Villena, 2015. "Calibration and simulation of arbitrage effects in a non-equilibrium quantum Black-Scholes model by using semiclassical methods," Papers 1512.05377, arXiv.org.
    4. Contreras, M. & Echeverría, J. & Peña, J.P. & Villena, M., 2020. "Resonance phenomena in option pricing with arbitrage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    5. Contreras, Mauricio & Pellicer, Rely & Villena, Marcelo & Ruiz, Aaron, 2010. "A quantum model of option pricing: When Black–Scholes meets Schrödinger and its semi-classical limit," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(23), pages 5447-5459.
    6. Contreras G., Mauricio, 2021. "Endogenous stochastic arbitrage bubbles and the Black–Scholes model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 583(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. René Garcia & Richard Luger & Eric Renault, 2000. "Asymmetric Smiles, Leverage Effects and Structural Parameters," Working Papers 2000-57, Center for Research in Economics and Statistics.
    2. Jean -Luc Prigent & Olivier Renault & Olivier Scaillet, 1999. "An Autoregressive Conditional Binomial Option Pricing Model," Working Papers 99-65, Center for Research in Economics and Statistics.
    3. Augustyniak, Maciej & Badescu, Alexandru & Bégin, Jean-François, 2023. "A discrete-time hedging framework with multiple factors and fat tails: On what matters," Journal of Econometrics, Elsevier, vol. 232(2), pages 416-444.
    4. Carol Alexander & Alexander Rubinov & Markus Kalepky & Stamatis Leontsinis, 2012. "Regime‐dependent smile‐adjusted delta hedging," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 32(3), pages 203-229, March.
    5. Contreras, Mauricio & Montalva, Rodrigo & Pellicer, Rely & Villena, Marcelo, 2010. "Dynamic option pricing with endogenous stochastic arbitrage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3552-3564.
    6. Contreras, M. & Echeverría, J. & Peña, J.P. & Villena, M., 2020. "Resonance phenomena in option pricing with arbitrage," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    7. Andreou, Panayiotis C. & Charalambous, Chris & Martzoukos, Spiros H., 2008. "Pricing and trading European options by combining artificial neural networks and parametric models with implied parameters," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1415-1433, March.
    8. Mauricio Contreras & Rely Pellicer & Daniel Santiagos & Marcelo Villena, 2015. "Calibration and simulation of arbitrage effects in a non-equilibrium quantum Black-Scholes model by using semiclassical methods," Papers 1512.05377, arXiv.org.
    9. Panayiotis Andreou & Chris Charalambous & Spiros Martzoukos, 2006. "Robust Artificial Neural Networks for Pricing of European Options," Computational Economics, Springer;Society for Computational Economics, vol. 27(2), pages 329-351, May.
    10. Alexander, Carol & Nogueira, Leonardo M., 2007. "Model-free hedge ratios and scale-invariant models," Journal of Banking & Finance, Elsevier, vol. 31(6), pages 1839-1861, June.
    11. Bjork, Tomas, 2009. "Arbitrage Theory in Continuous Time," OUP Catalogue, Oxford University Press, edition 3, number 9780199574742.
    12. Henri Bertholon & Alain Monfort & Fulvio Pegoraro, 2006. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Working Papers 2006-28, Center for Research in Economics and Statistics.
    13. Linda S. Klein & David R. Peterson, 1988. "Investor Expectations Of Volatility Increases Around Large Stock Splits As Implied In Call Option Premia," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 11(1), pages 71-80, March.
    14. Dan W. French & Glenn V. Henderson Jr., 1981. "Substitute Hedged Option Portfolios: Theory And Evidence," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 4(1), pages 21-31, March.
    15. 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.
    16. Matthias R. Fengler & Helmut Herwartz & Christian Werner, 2012. "A Dynamic Copula Approach to Recovering the Index Implied Volatility Skew," Journal of Financial Econometrics, Oxford University Press, vol. 10(3), pages 457-493, June.
    17. Gary Trennepohl, 1981. "A Comparison Of Listed Option Premiums And Black And Scholes Model Prices: 1973–1979," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 4(1), pages 11-20, March.
    18. Benjamin Cheng & Christina Nikitopoulos-Sklibosios & Erik Schlogl, 2015. "Pricing of Long-dated Commodity Derivatives with Stochastic Volatility and Stochastic Interest Rates," Research Paper Series 366, Quantitative Finance Research Centre, University of Technology, Sydney.
    19. René Garcia & Richard Luger & Éric Renault, 2005. "Viewpoint: Option prices, preferences, and state variables," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 38(1), pages 1-27, February.
    20. Michael J. Gombola & Rodney L. Roenfeldt & Philip L. Cooley, 1978. "Spreading Strategies In Cboe Options: Evidence On Market Performance," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 1(1), pages 35-44, December.

    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:phsmap:v:361:y:2006:i:1:p:289-296. 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.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.