IDEAS home Printed from https://ideas.repec.org/a/eee/finlet/v50y2022ics1544612322004883.html
   My bibliography  Save this article

Price dispersion and vanilla options in a financial market game

Author

Listed:
  • Toraubally, Waseem A.

Abstract

We construct a game-theoretic model characterised by perfect information, no transaction costs, in which agents can borrow at the risk-free interest rate and engage in short selling. Traders can freely and instantaneously eliminate any unexploited profit opportunities through pure arbitrage just as the efficient market hypothesis postulates they should. Yet, in this work, we put forth, in a frictionless framework, a counterexample in which the Law of One Price fails in the underlying asset markets at equilibrium. At a theoretical level, this leads both the Binomial Option Pricing Model (BOPM) and in the limit, the Black–Scholes–Merton Model (BSMM), to misprice the vanilla options written on these assets. This compelling result is pregnant with far-reaching ramifications: (i) theoretically, it establishes that no-arbitrage, while necessary, is not sufficient for any of the BOPM and BSMM to yield consistent results; (ii) practically, it crystallises the need for practitioners to rely on additional, more data-adaptive, methods of option pricing.

Suggested Citation

  • Toraubally, Waseem A., 2022. "Price dispersion and vanilla options in a financial market game," Finance Research Letters, Elsevier, vol. 50(C).
    • Handle: RePEc:eee:finlet:v:50:y:2022:i:c:s1544612322004883
    DOI: 10.1016/j.frl.2022.103305
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S1544612322004883
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.frl.2022.103305?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. Baldwin, Kenneth & Alhalboni, Maryam, 2020. "The impact of profit-sharing investment accounts on shareholders’ wealth," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 69(C).
    2. Toraubally, Waseem A., 2022. "Strategic trading and Ricardian comparative advantage," Journal of Economic Behavior & Organization, Elsevier, vol. 195(C), pages 428-447.
    3. Koutsougeras, L., 1999. "A Remark on the Number of Trading Posts in Strategic Market Games," Discussion Paper 1999-04, Tilburg University, Center for Economic Research.
    4. Peck, James & Shell, Karl, 1990. "Liquid markets and competition," Games and Economic Behavior, Elsevier, vol. 2(4), pages 362-377, December.
    5. Owen A. Lamont & Richard H. Thaler, 2003. "Anomalies: The Law of One Price in Financial Markets," Journal of Economic Perspectives, American Economic Association, vol. 17(4), pages 191-202, Fall.
    6. Koutsougeras, L., 1999. "A Remark on the Number of Trading Posts in Strategic Market Games," Other publications TiSEM eac59545-f91e-41f1-8067-1, Tilburg University, School of Economics and Management.
    7. Toraubally, Waseem A., 2018. "Large market games, the law of one price, and market structure," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 13-26.
    8. KOUTSOUGERAS, Leonidas C., 1999. "A remark on the number of trading posts in strategic market games," LIDAM Discussion Papers CORE 1999005, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Cox, John C. & Ross, Stephen A. & Rubinstein, Mark, 1979. "Option pricing: A simplified approach," Journal of Financial Economics, Elsevier, vol. 7(3), pages 229-263, September.
    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. Baldwin, Kenneth & Alhalboni, Maryam, 2023. "A value-based measure of market power for the participatory deposits of Islamic banks," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 87(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. Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
    2. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 57(194), pages 63-106, July - Se.
    3. Andrés Carvajal, 2018. "Arbitrage pricing in non-Walrasian financial markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 951-978, December.
    4. Toraubally, Waseem A., 2018. "Large market games, the law of one price, and market structure," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 13-26.
    5. Régis Breton & Bertrand Gobillard, 2005. "Robustness of equilibrium price dispersion in finite market games," Post-Print halshs-00257207, HAL.
    6. Koutsougeras, L., 1999. "Market Games with Multiple Trading Posts," Discussion Paper 1999-40, Tilburg University, Center for Economic Research.
    7. KOUTSOUGERAS, Leonidas, 1999. "Market games with multiple trading posts," LIDAM Discussion Papers CORE 1999018, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    8. Koutsougeras, Leonidas C., 2003. "Non-Walrasian equilibria and the law of one price," Journal of Economic Theory, Elsevier, vol. 108(1), pages 169-175, January.
    9. Koutsougeras, L., 1999. "Market Games with Multiple Trading Posts," Other publications TiSEM 2c6ceba8-81ce-402f-a3fa-1, Tilburg University, School of Economics and Management.
    10. Régis Breton & Bertrand Gobillard, 2006. "Robustness of equilibrium price dispersion in finite market games," Working Papers hal-04138854, HAL.
    11. Koutsougeras, Leonidas C., 2003. "Convergence to no arbitrage equilibria in market games," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 401-420, July.
    12. Toraubally, Waseem A., 2023. "Comparative advantage with many goods: New treatment and results," European Journal of Operational Research, Elsevier, vol. 311(3), pages 1188-1201.
    13. Toraubally, Waseem A., 2024. "Quantity competition in Hotellings linear city," CRETA Online Discussion Paper Series 87, Centre for Research in Economic Theory and its Applications CRETA.
    14. Weihan Li & Jin E. Zhang & Xinfeng Ruan & Pakorn Aschakulporn, 2024. "An empirical study on the early exercise premium of American options: Evidence from OEX and XEO options," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 44(7), pages 1117-1153, July.
    15. Boyarchenko, Svetlana & Levendorskii[caron], Sergei, 2007. "Optimal stopping made easy," Journal of Mathematical Economics, Elsevier, vol. 43(2), pages 201-217, February.
    16. Robert C. Merton, 2006. "Paul Samuelson and Financial Economics," The American Economist, Sage Publications, vol. 50(2), pages 9-31, October.
    17. Ammann, Manuel & Kind, Axel & Wilde, Christian, 2003. "Are convertible bonds underpriced? An analysis of the French market," Journal of Banking & Finance, Elsevier, vol. 27(4), pages 635-653, April.
    18. Helga Meier & Nicos Christofides & Gerry Salkin, 2001. "Capital Budgeting Under Uncertainty---An Integrated Approach Using Contingent Claims Analysis and Integer Programming," Operations Research, INFORMS, vol. 49(2), pages 196-206, April.
    19. Pringles, Rolando & Olsina, Fernando & Penizzotto, Franco, 2020. "Valuation of defer and relocation options in photovoltaic generation investments by a stochastic simulation-based method," Renewable Energy, Elsevier, vol. 151(C), pages 846-864.
    20. Collan, Mikael, 2008. "New Method for Real Option Valuation Using Fuzzy Numbers," Working Papers 466, IAMSR, Åbo Akademi.

    More about this item

    Keywords

    Shapley–Shubik market games; Law of one price; Vanilla options; Short sales; Binomial option pricing; Oligopoly;
    All these keywords.

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - 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:eee:finlet:v:50:y:2022:i:c:s1544612322004883. 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/frl .

    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.