IDEAS home Printed from https://ideas.repec.org/a/taf/eurjfi/v11y2005i2p93-109.html
   My bibliography  Save this article

The tick/volatility ratio as a determinant of the compass rose pattern

Author

Listed:
  • Chun Lee
  • Ike Mathur
  • Kimberly Gleason

Abstract

This study provides evidence that low frequency data masks certain returns phenomena in the foreign exchange (forex) market. It is shown that the compass rose pattern is entirely absent in daily returns in the spot and futures forex markets. In contrast, the intraday returns, especially those for holding periods of less than an hour, clearly exhibit the pattern. Monte Carlo investigation of the tick/volatility ratio provides convincing evidence that the pattern appears only if the tick/volatility ratio is above some threshold level. Since intraday returns have a ratio above the threshold value, they exhibit the pattern. On the other hand, the absence of the pattern in daily returns is due to the fact that the spot and futures currency returns examined have a ratio much smaller than the threshold value. Overall, the evidence is consistent with the hypothesis that the tick/volatility ratio is a determinant of the compass rose pattern. The economic implications of this pattern are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:taf:eurjfi:v:11:y:2005:i:2:p:93-109
    DOI: 10.1080/1351847032000137438
    as

    Download full text from publisher

    File URL: http://www.tandfonline.com/doi/abs/10.1080/1351847032000137438
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/1351847032000137438?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. Kramer, Walter & Runde, Ralf, 1997. "Chaos and the compass rose," Economics Letters, Elsevier, vol. 54(2), pages 113-118, February.
    2. 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.
    3. Neely, C. J. & Weller, P. A., 2003. "Intraday technical trading in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 22(2), pages 223-237, April.
    4. Harvey, Campbell R & Huang, Roger D, 1991. "Volatility in the Foreign Currency Futures Market," The Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 543-569.
    5. Almeida, Alvaro & Goodhart, Charles & Payne, Richard, 1998. "The Effects of Macroeconomic News on High Frequency Exchange Rate Behavior," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 33(3), pages 383-408, September.
    6. Muller, Ulrich A. & Dacorogna, Michel M. & Olsen, Richard B. & Pictet, Olivier V. & Schwarz, Matthias & Morgenegg, Claude, 1990. "Statistical study of foreign exchange rates, empirical evidence of a price change scaling law, and intraday analysis," Journal of Banking & Finance, Elsevier, vol. 14(6), pages 1189-1208, December.
    7. Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
    8. Szpiro, George G., 1998. "Tick size, the compass rose and market nanostructure," Journal of Banking & Finance, Elsevier, vol. 22(12), pages 1559-1569, December.
    9. 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.
    10. Elyasiani, Elyas & Kocagil, Ahmet E., 2001. "Interdependence and dynamics in currency futures markets: A multivariate analysis of intraday data," Journal of Banking & Finance, Elsevier, vol. 25(6), pages 1161-1186, June.
    11. Goodhart, Charles, 1988. "The Foreign Exchange Market: A Random Walk with a Dragging Anchor," Economica, London School of Economics and Political Science, vol. 55(220), pages 437-460, November.
    12. Caporale, Guglielmo Maria & Hassapis, Christis & Pittis, Nikitas, 1998. "Conditional Leptokurtosis and Non-Linear Dependence in Exchange Rate Returns," Journal of Policy Modeling, Elsevier, vol. 20(5), pages 581-601, October.
    13. 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.
    14. Harris, Lawrence, 1990. "Estimation of Stock Price Variances and Serial Covariances from Discrete Observations," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 25(3), pages 291-306, September.
    15. Goodhart, C. A. E. & Figliuoli, L., 1991. "Every minute counts in financial markets," Journal of International Money and Finance, Elsevier, vol. 10(1), pages 23-52, March.
    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. Wing Lon Ng, 2006. "Overreaction and Multiple Tail Dependence at the High-frequency Level — The Copula Rose," SFB 649 Discussion Papers SFB649DP2006-086, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    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. 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.
    4. Ledenyov, Dimitri O. & Ledenyov, Viktor O., 2015. "Wave function method to forecast foreign currencies exchange rates at ultra high frequency electronic trading in foreign currencies exchange markets," MPRA Paper 67470, University Library of Munich, Germany.
    5. 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.
    6. Han, Young Wook, 2007. "High frequency perspective on jump process, long memory property and temporal aggregation: Case of $-AUD exchange rates," Japan and the World Economy, Elsevier, vol. 19(2), pages 248-262, March.
    7. Fischer, Andreas M. & Ranaldo, Angelo, 2011. "Does FOMC news increase global FX trading?," Journal of Banking & Finance, Elsevier, vol. 35(11), pages 2965-2973, November.
    8. Ghysels, E. & Harvey, A. & Renault, E., 1995. "Stochastic Volatility," Papers 95.400, Toulouse - GREMAQ.
    9. Constantinos E. Vorlow, 2004. "Stock Price Clustering and Discreteness: The "Compass Rose" and Predictability," Papers cond-mat/0408013, arXiv.org.
    10. Antonios Antoniou & Constantinos E. Vorlow, 2004. "Price Clustering and Discreteness: Is there Chaos behind the Noise?," Papers cond-mat/0407471, arXiv.org.
    11. Torben G. Andersen & Tim Bollerslev & Francis X. Diebold & Clara Vega, 2003. "Micro Effects of Macro Announcements: Real-Time Price Discovery in Foreign Exchange," American Economic Review, American Economic Association, vol. 93(1), pages 38-62, March.
    12. 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.
    13. 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.
    14. Bollerslev, Tim & Ghysels, Eric, 1996. "Periodic Autoregressive Conditional Heteroscedasticity," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(2), pages 139-151, April.
    15. Andersen, Torben G. & Bollerslev, Tim, 1997. "Intraday periodicity and volatility persistence in financial markets," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 115-158, June.
    16. Kuck, Konstantin & Maderitsch, Robert, 2019. "Intra-day dynamics of exchange rates: New evidence from quantile regression," The Quarterly Review of Economics and Finance, Elsevier, vol. 71(C), pages 247-257.
    17. Galluccio, S. & Caldarelli, G. & Marsili, M. & Zhang, Y.-C., 1997. "Scaling in currency exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 423-436.
    18. Mingshu Hua & Chen-Yu Li, 2011. "The intraday bid-ask spread behaviour of the JPY/USD exchange rate in the EBS electronic brokerage system," Applied Economics, Taylor & Francis Journals, vol. 43(16), pages 2003-2013.
    19. 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.
    20. Goodhart, Charles A. E. & O'Hara, Maureen, 1997. "High frequency data in financial markets: Issues and applications," Journal of Empirical Finance, Elsevier, vol. 4(2-3), pages 73-114, 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:taf:eurjfi:v:11:y:2005:i:2:p:93-109. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/REJF20 .

    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.