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Are Correlations Constant Over Time? Application of the CC-TRIGt-test to Return Series from Different Asset Classes

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  • Matthias Fischer
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    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.

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    File URL: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2007-012.pdf
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    Bibliographic Info

    Paper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2007-012.

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    Length: 18 pages
    Date of creation: Mar 2007
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    Handle: RePEc:hum:wpaper:sfb649dp2007-012

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    Keywords: Lagrange multiplier test; constant correlation; trigonometric functions.;

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    1. Kjersti Aas & Ingrid Hobaek Haff, 2006. "The Generalized Hyperbolic Skew Student's t-Distribution," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 4(2), pages 275-309.
    2. William Goetzmann & Lingfeng Li & K. Rouwenhorst, 2001. "Long-Term Global Market Correlations," Yale School of Management Working Papers ysm237, Yale School of Management, revised 01 Jan 2008.
    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.
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