IDEAS home Printed from https://ideas.repec.org/p/arx/papers/cond-mat-0408013.html
   My bibliography  Save this paper

Stock Price Clustering and Discreteness: The "Compass Rose" and Predictability

Author

Listed:
  • Constantinos E. Vorlow

Abstract

In this letter we investigate the information provided by the "compass rose" (Crack, T.F. and Ledoit, O. (1996), Journal of Finance, 51(2), pg. 751-762) patterns revealed in phase portraits of daily stock returns. It has been initially suggested that the compass rose is just a manifestation of price clustering and discreteness and the tick size, factors that can affect the unbiasedness of an array of statistical tests based on stock returns. We show that this may not entirely be the case.

Suggested Citation

  • Constantinos E. Vorlow, 2004. "Stock Price Clustering and Discreteness: The "Compass Rose" and Predictability," Papers cond-mat/0408013, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0408013
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/cond-mat/0408013
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Amilon, Henrik, 2003. "GARCH estimation and discrete stock prices: an application to low-priced Australian stocks," Economics Letters, Elsevier, vol. 81(2), pages 215-222, November.
    2. Catherine Kyrtsou & Michel Terraza, 2003. "Is it Possible to Study Chaotic and ARCH Behaviour Jointly? Application of a Noisy Mackey–Glass Equation with Heteroskedastic Errors to the Paris Stock Exchange Returns Series," Computational Economics, Springer;Society for Computational Economics, vol. 21(3), pages 257-276, June.
    3. Antoniou, Antonios & Vorlow, Constantinos E., 2004. "Recurrence quantification analysis of wavelet pre-filtered index returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 257-262.
    4. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," The Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
    5. William A. Brock & Ehung G. Baek, 1991. "Some Theory of Statistical Inference for Nonlinear Science," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(4), pages 697-716.
    6. Antonios Antoniou & Constantinos E. Vorlow, 2004. "Price Clustering and Discreteness: Is there Chaos behind the Noise?," Papers cond-mat/0407471, arXiv.org.
    7. Wang, Eliza & Hudson, Robert & Keasey, Kevin, 2000. "Tick size and the compass rose: further insights," Economics Letters, Elsevier, vol. 68(2), pages 119-125, August.
    8. Wang, Huaiqing & Wang, Chen, 2002. "Visibility of the compass rose in financial asset returns: A quantitative study," Journal of Banking & Finance, Elsevier, vol. 26(6), pages 1099-1111, June.
    9. Fang, Yue, 2002. "The compass rose and random walk tests," Computational Statistics & Data Analysis, Elsevier, vol. 39(3), pages 299-310, May.
    10. Gleason, Kimberly C. & Lee, Chun I. & Mathur, Ike, 2000. "An explanation for the compass rose pattern," Economics Letters, Elsevier, vol. 68(2), pages 127-133, August.
    11. Michael D. McKenzie & Alex Frino, 2003. "The tick/volatility ratio as a determinant of the compass rose: empirical evidence from decimalisation on the NYSE," Accounting and Finance, Accounting and Finance Association of Australia and New Zealand, vol. 43(3), pages 331-344, November.
    12. Crack, Timothy Falcon & Ledoit, Olivier, 1996. "Robust Structure without Predictability: The "Compass Rose" Pattern of the Stock Market," Journal of Finance, American Finance Association, vol. 51(2), pages 751-762, June.
    13. An-Sing Chen, 1997. "The square compass rose: the evidence from Taiwan," Journal of Multinational Financial Management, Elsevier, vol. 7(2), pages 127-144, June.
    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. Katarzyna Bien & Ingmar Nolte & Winfried Pohlmeier, 2011. "An inflated multivariate integer count hurdle model: an application to bid and ask quote dynamics," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(4), pages 669-707, June.
    2. Katarzyna Bien & Ingmar Nolte & Winfried Pohlmeier, 2008. "A multivariate integer count hurdle model: theory and application to exchange rate dynamics," Studies in Empirical Economics, in: Luc Bauwens & Winfried Pohlmeier & David Veredas (ed.), High Frequency Financial Econometrics, pages 31-48, Springer.
    3. Mitchell, Heather & McKenzie, Michael D., 2006. "A note on the Wang and Wang measure of the quality of the compass rose," Journal of Banking & Finance, Elsevier, vol. 30(12), pages 3519-3524, December.

    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. Antonios Antoniou & Constantinos E. Vorlow, 2004. "Price Clustering and Discreteness: Is there Chaos behind the Noise?," Papers cond-mat/0407471, arXiv.org.
    2. Mitchell, Heather & McKenzie, Michael D., 2006. "A note on the Wang and Wang measure of the quality of the compass rose," Journal of Banking & Finance, Elsevier, vol. 30(12), pages 3519-3524, December.
    3. Antoniou, Antonios & Vorlow, Constantinos E., 2005. "Price clustering and discreteness: is there chaos behind the noise?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 348(C), pages 389-403.
    4. Katarzyna Bien & Ingmar Nolte & Winfried Pohlmeier, 2011. "An inflated multivariate integer count hurdle model: an application to bid and ask quote dynamics," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(4), pages 669-707, June.
    5. Katarzyna Bien & Ingmar Nolte & Winfried Pohlmeier, 2008. "A multivariate integer count hurdle model: theory and application to exchange rate dynamics," Studies in Empirical Economics, in: Luc Bauwens & Winfried Pohlmeier & David Veredas (ed.), High Frequency Financial Econometrics, pages 31-48, Springer.
    6. Amilon, Henrik, 2003. "GARCH estimation and discrete stock prices: an application to low-priced Australian stocks," Economics Letters, Elsevier, vol. 81(2), pages 215-222, November.
    7. Chun Lee & Ike Mathur & Kimberly Gleason, 2005. "The tick/volatility ratio as a determinant of the compass rose pattern," The European Journal of Finance, Taylor & Francis Journals, vol. 11(2), pages 93-109.
    8. Leontitsis, Alexandros & Vorlow, Constantinos E., 2006. "Accounting for outliers and calendar effects in surrogate simulations of stock return sequences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 522-530.
    9. Ng, Wing Lon, 2006. "Overreaction and multiple tail dependence at the high-frequency level: The copula rose," SFB 649 Discussion Papers 2006-086, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    10. repec:hum:wpaper:sfb649dp2006-086 is not listed on IDEAS
    11. Wang, Huaiqing & Wang, Chen, 2002. "Visibility of the compass rose in financial asset returns: A quantitative study," Journal of Banking & Finance, Elsevier, vol. 26(6), pages 1099-1111, June.
    12. Shin S. Ikeda, 2013. "An Empirical Market Microstructure Analysis of the Implied Spread Cost in the Japanese Day-Ahead Electricity Market," GRIPS Discussion Papers 12-22, National Graduate Institute for Policy Studies.
    13. Shin S. Ikeda, 2015. "Illiquidity in the Japanese Day-Ahead Electricity Market," GRIPS Discussion Papers 15-04, National Graduate Institute for Policy Studies.
    14. Gleason, Kimberly C. & Lee, Chun I. & Mathur, Ike, 2000. "An explanation for the compass rose pattern," Economics Letters, Elsevier, vol. 68(2), pages 127-133, August.
    15. Alexandros Leontitsis & Constantinos E. Vorlow, 2005. "Accounting for outliers and calendar effects in surrogate simulations of stock return sequences," Papers physics/0504187, arXiv.org.
    16. Fang, Yue, 2002. "The compass rose and random walk tests," Computational Statistics & Data Analysis, Elsevier, vol. 39(3), pages 299-310, May.
    17. İşcanoğlu-Çekiç, Ayşegül & Gülteki̇n, Havva, 2019. "Are cross-correlations between Turkish Stock Exchange and three major country indices multifractal or monofractal?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 978-990.
    18. Chun, Young H. & Plante, Robert D. & Schneider, Helmut, 2002. "Buying and selling an asset over the finite time horizon: A non-parametric approach," European Journal of Operational Research, Elsevier, vol. 136(1), pages 106-120, January.
    19. Dominique Guégan & Marius Cristian Frunza, 2018. "Is the Bitcoin Rush Over?," Documents de travail du Centre d'Economie de la Sorbonne 18014, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    20. Zhuo Qiao & Keith Lam, 2011. "Granger causal relations among Greater China stock markets: a nonlinear perspective," Applied Financial Economics, Taylor & Francis Journals, vol. 21(19), pages 1437-1450.
    21. Ya-Wen Lai, 2023. "Impact of futures’ trader types on stock market quality: evidence from Taiwan," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 47(2), pages 417-436, June.

    More about this item

    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:arx:papers:cond-mat/0408013. 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: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    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.