IDEAS home Printed from https://ideas.repec.org/p/zbw/sfb649/sfb649dp2007-012.html
   My bibliography  Save this paper

Are correlations constant over time? Application of the CC-TRIGt-test to return series from different asset classes

Author

Listed:
  • Fischer, Matthias J.

Abstract

A new test for constant correlation is proposed. Based on the bivariate Student-t distribution, this test is derived as Lagrange multiplier (LM) test. Whereas most of the traditional tests (e.g. Jennrich, 1970, Tang, 1995 and Goetzmann, Li & Rouwenhorst, 2005) specify the unknown correlations as piecewise constant, our model-setup for the correlation coefficient is based on trigonometric functions. Applying this test to assets from different financial markets (stocks, exchange rates, metals) there is empirical evidence that many of the correlations vary over time.

Suggested Citation

  • Fischer, Matthias J., 2007. "Are correlations constant over time? Application of the CC-TRIGt-test to return series from different asset classes," SFB 649 Discussion Papers 2007-012, Humboldt University Berlin, Collaborative Research Center 649: Economic Risk.
    • Handle: RePEc:zbw:sfb649:sfb649dp2007-012
    as

    Download full text from publisher

    File URL: https://www.econstor.eu/bitstream/10419/25184/1/558528465.PDF
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kjersti Aas & Ingrid Hobaek Haff, 2006. "The Generalized Hyperbolic Skew Student's t-Distribution," Journal of Financial Econometrics, Oxford University Press, vol. 4(2), pages 275-309.
    2. S. Kullback, 1967. "On Testing Correlation Matrices," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 16(1), pages 80-85, March.
    3. Kaplanis, Evi C., 1988. "Stability and forecasting of the comovement measures of international stock market returns," Journal of International Money and Finance, Elsevier, vol. 7(1), pages 63-75, March.
    4. William N. Goetzmann & Lingfeng Li & K. Geert Rouwenhorst, 2005. "Long-Term Global Market Correlations," The Journal of Business, University of Chicago Press, vol. 78(1), pages 1-38, January.
    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. repec:hum:wpaper:sfb649dp2007-012 is not listed on IDEAS
    2. Brière, Marie & Chapelle, Ariane & Szafarz, Ariane, 2012. "No contagion, only globalization and flight to quality," Journal of International Money and Finance, Elsevier, vol. 31(6), pages 1729-1744.
    3. Heung-Joo Cha & Thadavillil Jithendranathan, 2009. "Time-varying correlations and optimal allocation in emerging market equities for the US investors," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 14(2), pages 172-187.
    4. d'Addona, Stefano & Kind, Axel H., 2006. "International stock-bond correlations in a simple affine asset pricing model," Journal of Banking & Finance, Elsevier, vol. 30(10), pages 2747-2765, October.
    5. Alexandra Horobet & Sorin Dumitrescu, 2011. "Time-varying Diversification Benefits: The Impact of Capital Market Integration on European Portfolio Holdings," Chapters, in: Wim Meeusen (ed.), The Economic Crisis and European Integration, chapter 13, Edward Elgar Publishing.
    6. Dominik Wied & Matthias Arnold & Nicolai Bissantz & Daniel Ziggel, 2013. "Über die Anwendbarkeit eines neuen Fluktuationstests für Korrelationen auf Finanzzeitreihen," AStA Wirtschafts- und Sozialstatistisches Archiv, Springer;Deutsche Statistische Gesellschaft - German Statistical Society, vol. 6(3), pages 87-103, March.
    7. repec:dau:papers:123456789/7746 is not listed on IDEAS
    8. Gregory Connor & Lisa R. Goldberg & Robert A. Korajczyk, 2010. "Portfolio Risk Analysis," Economics Books, Princeton University Press, edition 1, number 9224.
    9. Wim Meeusen (ed.), 2011. "The Economic Crisis and European Integration," Books, Edward Elgar Publishing, number 14130.
    10. Ayaz Ahmed, 1998. "Stock Market Interlinkages in Emerging Markets," PIDE Research Report 1998:159, Pakistan Institute of Development Economics.
    11. Fischer, Matthias J., 2006. "Testing for constant correlation by means of trigonometric functions," Discussion Papers 74/2006, Friedrich-Alexander University Erlangen-Nuremberg, Chair of Statistics and Econometrics.
    12. Phylaktis, Kate & Xia, Lichuan, 2006. "Sources of firms' industry and country effects in emerging markets," Journal of International Money and Finance, Elsevier, vol. 25(3), pages 459-475, April.
    13. Takahashi, Makoto & Watanabe, Toshiaki & Omori, Yasuhiro, 2016. "Volatility and quantile forecasts by realized stochastic volatility models with generalized hyperbolic distribution," International Journal of Forecasting, Elsevier, vol. 32(2), pages 437-457.
    14. Kumar, Alok, 2007. "Do the diversification choices of individual investors influence stock returns?," Journal of Financial Markets, Elsevier, vol. 10(4), pages 362-390, November.
    15. BenSaïda, Ahmed & Slim, Skander, 2016. "Highly flexible distributions to fit multiple frequency financial returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 442(C), pages 203-213.
    16. Marcel Wollschlager & Rudi Schafer, 2015. "Impact of non-stationarity on estimating and modeling empirical copulas of daily stock returns," Papers 1506.08054, arXiv.org.
    17. John Y. Campbell & Luis M. Viceira & Joshua S. White, 2003. "Foreign Currency for Long-Term Investors," Economic Journal, Royal Economic Society, vol. 113(486), pages 1-25, March.
    18. Yeap, Claudia & Kwok, Simon S. & Choy, S. T. Boris, 2016. "A Flexible Generalised Hyperbolic Option Pricing Model and its Special Cases," Working Papers 2016-14, University of Sydney, School of Economics.
    19. Donadelli, M. & Gufler, I. & Paradiso, A., 2024. "Financial market integration: A complex and controversial journey," International Review of Financial Analysis, Elsevier, vol. 92(C).
    20. Geoffrey Ngene & Ann Nduati Mungai & Allen K. Lynch, 2018. "Long-Term Dependency Structure and Structural Breaks: Evidence from the U.S. Sector Returns and Volatility," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 21(02), pages 1-38, June.
    21. Leopoldo Catania & Stefano Grassi, 2017. "Modelling Crypto-Currencies Financial Time-Series," CEIS Research Paper 417, Tor Vergata University, CEIS, revised 11 Dec 2017.
    22. Fung, Michael K., 2009. "Financial development and economic growth: Convergence or divergence?," Journal of International Money and Finance, Elsevier, vol. 28(1), pages 56-67, February.

    More about this item

    Keywords

    Lagrange multiplier test; constant correlation; trigonometric functions;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:zbw:sfb649:sfb649dp2007-012. 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: ZBW - Leibniz Information Centre for Economics (email available below). General contact details of provider: https://edirc.repec.org/data/sohubde.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.