IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v374y2007i2p764-772.html
   My bibliography  Save this article

The oscillation of stock price by majority orienting traders with investment position

Author

Listed:
  • Yamashita, T.
  • Itoh, Y.

Abstract

We consider an interacting particle system for the stock price fluctuation. The change of the stock price with a feedback by the price considering the herding behavior (majority orienting behavior) of traders, gives the van der Pol equation as a deterministic approximation. Considering the investment position of each trader, we introduce the delayed van der Pol equation. The history of investment positions, for example sell or buy, of each trader for a stock makes a memory effect, which is modeled by using the time retardation. The delayed van der Pol equation model seems to be natural and explains typical phenomena, for example triangle pattern, volatility jumps, price jumps and price trends, known for the time series of a stock price.

Suggested Citation

  • Yamashita, T. & Itoh, Y., 2007. "The oscillation of stock price by majority orienting traders with investment position," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 764-772.
    • Handle: RePEc:eee:phsmap:v:374:y:2007:i:2:p:764-772
    DOI: 10.1016/j.physa.2006.08.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437106008776
    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.2006.08.021?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. H. Takahashi & Y. Itoh, 2004. "Majority orienting model for the oscillation of market price," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 37(2), pages 271-274, January.
    2. Devenow, Andrea & Welch, Ivo, 1996. "Rational herding in financial economics," European Economic Review, Elsevier, vol. 40(3-5), pages 603-615, April.
    3. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
    4. repec:bla:jfinan:v:59:y:2004:i:3:p:1367-1404 is not listed on IDEAS
    5. Shiller, Robert J., 1999. "Human behavior and the efficiency of the financial system," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 20, pages 1305-1340, Elsevier.
    6. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
    7. Hisanao Takahashi & Yoshiaki Itoh, 2004. "Majority Orienting Model for the Oscillation of Market Price," Papers nlin/0403056, arXiv.org.
    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. Ueda, Sumie & Makino, Kumi & Itoh, Yoshiaki & Tsuchiya, Takashi, 2015. "Logistic growth for the Nuzi cuneiform tablets: Analyzing family networks in ancient Mesopotamia," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 223-232.

    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. Stracca, Livio, 2004. "Behavioral finance and asset prices: Where do we stand?," Journal of Economic Psychology, Elsevier, vol. 25(3), pages 373-405, June.
    2. Mohamed Es-Sanoun & Jude Gohou & Mounir Benboubker, 2023. "Testing of Herd Behavior In african Stock Markets During COVID-19 Pandemic [Essai de vérification du comportement mimétique dans les marchés boursiers africains au cours de la crise de covid-19]," Post-Print hal-04144289, HAL.
    3. Stephan Schulmeister, 2000. "Technical Analysis and Exchange Rate Dynamics," WIFO Studies, WIFO, number 25857.
    4. Jonathan E. Alevy & Michael S. Haigh & John List, 2006. "Information Cascades: Evidence from An Experiment with Financial Market Professionals," NBER Working Papers 12767, National Bureau of Economic Research, Inc.
    5. Dragan Miljkovic & Daniel Mostad, 2007. "Obesity and low-carb diets in the united states: A herd behavior model," Agribusiness, John Wiley & Sons, Ltd., vol. 23(3), pages 421-434.
    6. Jasman Tuyon & Zamri Ahmada, 2016. "Behavioural finance perspectives on Malaysian stock market efficiency," Borsa Istanbul Review, Research and Business Development Department, Borsa Istanbul, vol. 16(1), pages 43-61, March.
    7. Bastian Schulz, 2023. "Behavioral Finance and how its Behavioral Biases Affect German Investors," ACTA VSFS, University of Finance and Administration, vol. 17(1), pages 39-59.
    8. Daniel, Kent & Hirshleifer, David & Teoh, Siew Hong, 2002. "Investor psychology in capital markets: evidence and policy implications," Journal of Monetary Economics, Elsevier, vol. 49(1), pages 139-209, January.
    9. J. Doyne Farmer, 2002. "Market force, ecology and evolution," Industrial and Corporate Change, Oxford University Press and the Associazione ICC, vol. 11(5), pages 895-953, November.
    10. Levy, Moshe, 2022. "An inter-temporal CAPM based on First order Stochastic Dominance," European Journal of Operational Research, Elsevier, vol. 298(2), pages 734-739.
    11. Markus Glaser & Martin Weber, 2007. "Overconfidence and trading volume," The Geneva Papers on Risk and Insurance Theory, Springer;International Association for the Study of Insurance Economics (The Geneva Association), vol. 32(1), pages 1-36, June.
    12. Lee, Kyuseok, 2017. "Herd behavior of the overall market: Evidence based on the cross-sectional comovement of returns," The North American Journal of Economics and Finance, Elsevier, vol. 42(C), pages 266-284.
    13. Charilaos Mertzanis & Noha Allam, 2018. "Political Instability and Herding Behaviour: Evidence from Egypt’s Stock Market," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 17(1), pages 29-59, April.
    14. Christian Wolff & Thorsten Lehnert & Cokki Versluis, 2009. "A Cumulative Prospect Theory Approach to Option Pricing," LSF Research Working Paper Series 09-03, Luxembourg School of Finance, University of Luxembourg.
    15. Matthew C. Li, 2003. "Wealth, Volume and Stock Market Volatility: Case of Hong Kong (1993-2001)," Trinity Economics Papers 20035, Trinity College Dublin, Department of Economics.
    16. Bodo Herzog & Sufyan Osamah, 2019. "Reverse Engineering of Option Pricing: An AI Application," IJFS, MDPI, vol. 7(4), pages 1-12, November.
    17. Marc Atlan & Hélyette Geman & Dilip Madan & Marc Yor, 2007. "Correlation and the pricing of risks," Annals of Finance, Springer, vol. 3(4), pages 411-453, October.
    18. Ebert, Sebastian & Hilpert, Christian, 2019. "Skewness preference and the popularity of technical analysis," Journal of Banking & Finance, Elsevier, vol. 109(C).
    19. 子, 鬼谷, 2022. "Humanoid psychological sentiments and enigma of investment," OSF Preprints rm9gu, Center for Open Science.
    20. Jovanovic, Franck & Schinckus, Christophe, 2017. "Econophysics and Financial Economics: An Emerging Dialogue," OUP Catalogue, Oxford University Press, number 9780190205034.

    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:374:y:2007:i:2:p:764-772. 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.