IDEAS home Printed from https://ideas.repec.org/a/mfj/journl/v16y2012i1-2p137-154.html
   My bibliography  Save this article

Fractal Measures in Market Microstructure Research

Author

Listed:
  • Rossitsa Yalamova

    (University of Lethbridge, Canada)

Abstract

This paper proposes the generalized use of fractional Brownian motion in a multifractal trading time framework to reveal variation in the index price diffusion process that appears before and after 'extreme' events of distinct origin. "Crashes" following internal self-organization and those caused by external shocks differ in the relaxation process. The goal of this paper is to test for differences in the price diffusion process related to the organization of trading.

Suggested Citation

  • Rossitsa Yalamova, 2012. "Fractal Measures in Market Microstructure Research," Multinational Finance Journal, Multinational Finance Journal, vol. 16(1-2), pages 137-154, March - J.
    • Handle: RePEc:mfj:journl:v:16:y:2012:i:1-2:p:137-154
    as

    Download full text from publisher

    File URL: http://www.mfsociety.org/modules/modDashboard/uploadFiles/journals/MJ~0~p178p38qpr1vhh1heo1ul8h489l94.pdf
    Download Restriction: no
    File URL: http://www.mfsociety.org/modules/modDashboard/uploadFiles/journals/googleScholar/815.html
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bacry, E. & Delour, J. & Muzy, J.F., 2001. "Modelling financial time series using multifractal random walks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 84-92.
    2. Turiel, Antonio & Pérez-Vicente, Conrad J., 2003. "Multifractal geometry in stock market time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 322(C), pages 629-649.
    3. Laurent Calvet & Adlai Fisher, 2002. "Multifractality In Asset Returns: Theory And Evidence," The Review of Economics and Statistics, MIT Press, vol. 84(3), pages 381-406, August.
    4. Anders Johansen & Olivier Ledoit & Didier Sornette, 2000. "Crashes As Critical Points," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(02), pages 219-255.
    5. de Jong, Frank & Nijman, Theo & Roell, Ailsa, 1995. "A comparison of the cost of trading French shares on the Paris Bourse and on SEAQ International," European Economic Review, Elsevier, vol. 39(7), pages 1277-1301, August.
    6. Francois Schmitt & Daniel Schertzer & Shaun Lovejoy, 2000. "Multifractal Fluctuations In Finance," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 361-364.
    7. de Jong, F.C.J.M. & Nijman, T.E. & Röell, A.A., 1995. "A comparison of the cost of trading French shares on the Paris Bourse and on SEAQ International," Other publications TiSEM 909cfa6b-a4be-4b4b-b214-f, Tilburg University, School of Economics and Management.
    8. Gopikrishnan, P & Plerou, V & Liu, Y & Amaral, L.A.N & Gabaix, X & Stanley, H.E, 2000. "Scaling and correlation in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 287(3), pages 362-373.
    9. Sylvain Friederich & Richard Payne, 2007. "Dealer Liquidity in an Auction Market: Evidence from the London Stock Exchange," Economic Journal, Royal Economic Society, vol. 117(522), pages 1168-1191, July.
    10. B. B. Mandelbrot, 2001. "Scaling in financial prices: III. Cartoon Brownian motions in multifractal time," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 427-440.
    11. Marco Corazza & A. G. Malliaris, 2005. "Multi-Fractality in Foreign Currency Markets," World Scientific Book Chapters, in: Economic Uncertainty, Instabilities And Asset Bubbles Selected Essays, chapter 11, pages 151-184, World Scientific Publishing Co. Pte. Ltd..
    12. Christie William G. & Huang Roger D., 1994. "Market Structures and Liquidity: A Transactions Data Study of Exchange Listings," Journal of Financial Intermediation, Elsevier, vol. 3(3), pages 300-326, June.
    13. Gontis, V. & Kaulakys, B., 2004. "Modeling financial markets by the multiplicative sequence of trades," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 128-133.
    14. Lee, Charles M C, 1993. "Market Integration and Price Execution for NYSE-Listed Securities," Journal of Finance, American Finance Association, vol. 48(3), pages 1009-1038, July.
    15. Adlai Fisher & Laurent Calvet & Benoit Mandelbrot, 1997. "Multifractality of Deutschemark/US Dollar Exchange Rates," Cowles Foundation Discussion Papers 1166, Cowles Foundation for Research in Economics, Yale University.
    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. Suárez-García, Pablo & Gómez-Ullate, David, 2014. "Multifractality and long memory of a financial index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 394(C), pages 226-234.
    2. Iwatsubo, Kentaro & Rhee, S. Ghon & Zhang, Ye Zhou, 2023. "Dealership versus continuous auction: Evidence from the JASDAQ market," Pacific-Basin Finance Journal, Elsevier, vol. 77(C).
    3. repec:dau:papers:123456789/295 is not listed on IDEAS
    4. Zhou, Wei-Xing, 2012. "Finite-size effect and the components of multifractality in financial volatility," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 147-155.
    5. Flepp, Raphael & Nüesch, Stephan & Franck, Egon, 2017. "The liquidity advantage of the quote-driven market: Evidence from the betting industry," The Quarterly Review of Economics and Finance, Elsevier, vol. 64(C), pages 306-317.
    6. Gajewski, Jean-Francois & Gresse, Carole, 2007. "Centralised order books versus hybrid order books: A paired comparison of trading costs on NSC (Euronext Paris) and SETS (London Stock Exchange)," Journal of Banking & Finance, Elsevier, vol. 31(9), pages 2906-2924, September.
    7. Theissen, Erik, 2000. "Market structure, informational efficiency and liquidity: An experimental comparison of auction and dealer markets," Journal of Financial Markets, Elsevier, vol. 3(4), pages 333-363, November.
    8. Marina Resta & Davide Sciutti, "undated". "A characterization of self-affine processes in finance through the scaling function," Modeling, Computing, and Mastering Complexity 2003 13, Society for Computational Economics.
    9. Pablo Su'arez-Garc'ia & David G'omez-Ullate, 2013. "Multifractality and long memory of a financial index," Papers 1306.0490, arXiv.org.
    10. repec:dau:papers:123456789/3017 is not listed on IDEAS
    11. Huang, Roger D. & Stoll, Hans R., 1996. "Dealer versus auction markets: A paired comparison of execution costs on NASDAQ and the NYSE," Journal of Financial Economics, Elsevier, vol. 41(3), pages 313-357, July.
    12. Yang, Yujun & Li, Jianping & Yang, Yimei, 2017. "The cross-correlation analysis of multi property of stock markets based on MM-DFA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 481(C), pages 23-33.
    13. Segnon, Mawuli & Lux, Thomas, 2013. "Multifractal models in finance: Their origin, properties, and applications," Kiel Working Papers 1860, Kiel Institute for the World Economy (IfW Kiel).
    14. Vogler, Karl-Hubert, 1997. "Risk allocation and inter-dealer trading," European Economic Review, Elsevier, vol. 41(8), pages 1615-1634, August.
    15. Krenar Avdulaj & Ladislav Kristoufek, 2020. "On Tail Dependence and Multifractality," Mathematics, MDPI, vol. 8(10), pages 1-13, October.
    16. Macey, Jonathan R. & O'Hara, Maureen, 1997. "The Law and Economics of Best Execution," Journal of Financial Intermediation, Elsevier, vol. 6(3), pages 188-223, July.
    17. Sutthisit Jamdee & Cornelis A. Los, 2005. "Multifractal Modeling of the US Treasury Term Structure and Fed Funds Rate," Finance 0502021, University Library of Munich, Germany.
    18. de Jong, Frank & Nijman, Theo & Roell, Ailsa, 1996. "Price effects of trading and components of the bid-ask spread on the Paris Bourse," Journal of Empirical Finance, Elsevier, vol. 3(2), pages 193-213, June.
    19. Kyaw, NyoNyo A. & Los, Cornelis A. & Zong, Sijing, 2006. "Persistence characteristics of Latin American financial markets," Journal of Multinational Financial Management, Elsevier, vol. 16(3), pages 269-290, July.
    20. Degryse, Hans, 1999. "The total cost of trading Belgian shares: Brussels versus London," Journal of Banking & Finance, Elsevier, vol. 23(9), pages 1331-1355, September.
    21. Sornette, Didier & Zhou, Wei-Xing, 2006. "Importance of positive feedbacks and overconfidence in a self-fulfilling Ising model of financial markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 704-726.
    22. Zunino, Luciano & Figliola, Alejandra & Tabak, Benjamin M. & Pérez, Darío G. & Garavaglia, Mario & Rosso, Osvaldo A., 2009. "Multifractal structure in Latin-American market indices," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2331-2340.

    More about this item

    Keywords

    trading mechanics; multifractal spectrum; extreme events;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • D53 - Microeconomics - - General Equilibrium and Disequilibrium - - - Financial Markets
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • G01 - Financial Economics - - General - - - Financial Crises
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

    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:mfj:journl:v:16:y:2012:i:1-2:p:137-154. 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: Theodossiou Panayiotis (email available below). General contact details of provider: https://edirc.repec.org/data/mfsssea.html .

    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.