IDEAS home Printed from https://ideas.repec.org/a/spr/comgts/v19y2022i1d10.1007_s10287-021-00413-9.html
   My bibliography  Save this article

Non-tradability interval for heterogeneous rational players in the option markets

Author

Listed:
  • Yossi Shvimer

    (SOAS University of London)

  • Avi Herbon

    (Bar-Ilan University)

Abstract

This study uses theoretical and empirical approaches to analyze a number of phenomena observed in trading floors, such as the changes in trading volumes and Bid–Ask spreads as a function of the moneyness level and the remaining time until the option’s expiration. A mathematical model for pricing options is developed that assumes two players with heterogeneous beliefs, where the objective of each player is to maximize their profit on the expiration day. By solving a system of algebraic equations, which takes into consideration the subjective beliefs of the players regarding the price of the underlying asset on expiration day, a feasible price domain is constructed that defines the boundaries within which a transaction may be executed. The developed model is applied to the special case in which the distribution of the underlying asset price on expiration day is uniform, and a sensitivity analysis for selected parameters is presented. An interesting theoretical result that emerges from the proposed model is the existence of an interval under which there is no tradability near the expiration day. The existence of this interval offers an explanation for the decrease in the apparent trading volumes of out-of-money (OTM) options, together with an increase in Bid–Ask spreads, as the expiration day approaches. The main parameters that affect the point of time after which there will be no trading are those that represent the players’ subjective beliefs about the distribution of the expiration values, and the cost of trading.

Suggested Citation

  • Yossi Shvimer & Avi Herbon, 2022. "Non-tradability interval for heterogeneous rational players in the option markets," Computational Management Science, Springer, vol. 19(1), pages 133-157, January.
    • Handle: RePEc:spr:comgts:v:19:y:2022:i:1:d:10.1007_s10287-021-00413-9
    DOI: 10.1007/s10287-021-00413-9
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10287-021-00413-9
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10287-021-00413-9?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. George, Thomas J. & Longstaff, Francis A., 1993. "Bid-Ask Spreads and Trading Activity in the S&P 100 Index Options Market," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(3), pages 381-397, September.
    2. Lin, William T. & Tsai, Shih-Chuan & Zheng, Zhenlong & Qiao, Shuai, 2018. "Retrieving aggregate information from option volume," International Review of Economics & Finance, Elsevier, vol. 55(C), pages 220-232.
    3. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    4. Chatrath, Arjun & Christie-David, Rohan A. & Miao, Hong & Ramchander, Sanjay, 2015. "Short-term options: Clienteles, market segmentation, and event trading," Journal of Banking & Finance, Elsevier, vol. 61(C), pages 237-250.
    5. Dmitriy Muravyev, 2016. "Order Flow and Expected Option Returns," Journal of Finance, American Finance Association, vol. 71(2), pages 673-708, April.
    6. Miao, Jianjun & Wang, Neng, 2011. "Risk, uncertainty, and option exercise," Journal of Economic Dynamics and Control, Elsevier, vol. 35(4), pages 442-461, April.
    7. Jun Pan & Allen M. Poteshman, 2006. "The Information in Option Volume for Future Stock Prices," The Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 871-908.
    8. Pierre Collin-Dufresne & Vyacheslav Fos, 2015. "Do Prices Reveal the Presence of Informed Trading?," Journal of Finance, American Finance Association, vol. 70(4), pages 1555-1582, August.
    9. Kim, Y.S. & Stoyanov, S. & Rachev, S. & Fabozzi, F., 2016. "Multi-purpose binomial model: Fitting all moments to the underlying geometric Brownian motion," Economics Letters, Elsevier, vol. 145(C), pages 225-229.
    10. Buchen, Peter W. & Kelly, Michael, 1996. "The Maximum Entropy Distribution of an Asset Inferred from Option Prices," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(1), pages 143-159, March.
    11. Bernales, Alejandro & Cañón, Carlos & Verousis, Thanos, 2018. "Bid–ask spread and liquidity searching behaviour of informed investors in option markets," Finance Research Letters, Elsevier, vol. 25(C), pages 96-102.
    12. Chung, Kee H. & Park, Seongkyu “Gilbert” & Ryu, Doojin, 2016. "Trade duration, informed trading, and option moneyness," International Review of Economics & Finance, Elsevier, vol. 44(C), pages 395-411.
    13. Wei, Jason & Zheng, Jinguo, 2010. "Trading activity and bid-ask spreads of individual equity options," Journal of Banking & Finance, Elsevier, vol. 34(12), pages 2897-2916, December.
    14. 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.
    15. Pierre Collin-Dufresne & Vyacheslav Fos, 2013. "Do Prices Reveal the Presence of Informed Trading?," Swiss Finance Institute Research Paper Series 13-69, Swiss Finance Institute, revised Sep 2015.
    Full references (including those not matched with items on IDEAS)

    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. Ben-Rephael, Azi & Cookson, J. Anthony & izhakian, yehuda, 2022. "Trading, Ambiguity and Information in the Options Market," SocArXiv ewunv, Center for Open Science.
    2. Stoyan V. Stoyanov & Yong Shin Kim & Svetlozar T. Rachev & Frank J. Fabozzi, 2017. "Option pricing for Informed Traders," Papers 1711.09445, arXiv.org.
    3. Avinash & T. Mallikarjunappa, 2020. "Informational Role of Open Interest and Transaction Volume of Options: A Meta-Analytic Review," FIIB Business Review, , vol. 9(4), pages 275-285, December.
    4. Ulze, Markus & Stadler, Johannes & Rathgeber, Andreas W., 2021. "No country for old distributions? On the comparison of implied option parameters between the Brownian motion and variance gamma process," The Quarterly Review of Economics and Finance, Elsevier, vol. 82(C), pages 163-184.
    5. Nimalendran, Mahendrarajah & Rzayev, Khaladdin & Sagade, Satchit, 2024. "High-frequency trading in the stock market and the costs of options market making," LSE Research Online Documents on Economics 124228, London School of Economics and Political Science, LSE Library.
    6. Nimalendran, Mahendrarajah & Rzayev, Khaladdin & Sagade, Satchit, 2024. "High-frequency trading in the stock market and the costs of options market making," Journal of Financial Economics, Elsevier, vol. 159(C).
    7. Brigida, Matt & Pratt, William R., 2017. "Fake news," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 564-573.
    8. Doojin Ryu & Jinyoung Yu, 2021. "Informed options trading around holidays," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(5), pages 658-685, May.
    9. Amit Goyal & Alessio Saretto, 2022. "Are Equity Option Returns Abnormal? IPCA Says No," Working Papers 2214, Federal Reserve Bank of Dallas.
    10. Peter Christoffersen & Ruslan Goyenko & Kris Jacobs & Mehdi Karoui, 2018. "Illiquidity Premia in the Equity Options Market," The Review of Financial Studies, Society for Financial Studies, vol. 31(3), pages 811-851.
    11. Vinay Patel, 2015. "Price Discovery in US and Australian Stock and Options Markets," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 27, July-Dece.
    12. Doojin Ryu & Doowon Ryu & Heejin Yang, 2021. "The impact of net buying pressure on index options prices," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 41(1), pages 27-45, January.
    13. Augustin, Patrick & Brenner, Menachem & Grass, Gunnar & Subrahmanyam, Marti G., 2016. "How do insiders trade?," CFS Working Paper Series 541, Center for Financial Studies (CFS).
    14. Lin, Zhongguo & Han, Liyan & Li, Wei, 2021. "Option replication with transaction cost under Knightian uncertainty," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    15. Shane Barratt & Jonathan Tuck & Stephen Boyd, 2020. "Convex Optimization Over Risk-Neutral Probabilities," Papers 2003.02878, arXiv.org.
    16. Yu Feng & Ralph Rudd & Christopher Baker & Qaphela Mashalaba & Melusi Mavuso & Erik Schlögl, 2021. "Quantifying the Model Risk Inherent in the Calibration and Recalibration of Option Pricing Models," Risks, MDPI, vol. 9(1), pages 1-20, January.
    17. Gkionis, Konstantinos & Kostakis, Alexandros & Skiadopoulos, George & Stilger, Przemyslaw S., 2021. "Positive stock information in out-of-the-money option prices," Journal of Banking & Finance, Elsevier, vol. 128(C).
    18. Jie Cao & Amit Goyal & Xiao Xiao & Xintong Zhan, 2023. "Implied Volatility Changes and Corporate Bond Returns," Management Science, INFORMS, vol. 69(3), pages 1375-1397, March.
    19. Jianjun Miao & Neng Wang, 2004. "Investment, Hedging, and Consumption Smoothing," Finance 0407014, University Library of Munich, Germany.
    20. Ben Arfa, Nouha & Karmani, Majdi & Labaronne, Daniel, 2017. "Antecedents of hedge fund activism in French listed target firms," Research in International Business and Finance, Elsevier, vol. 42(C), pages 1315-1326.

    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:spr:comgts:v:19:y:2022:i:1:d:10.1007_s10287-021-00413-9. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.