Are Correlations Constant Over Time? Application of the CC-TRIGt-test to Return Series from Different Asset Classes
AbstractA 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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Bibliographic InfoPaper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2007-012.
Length: 18 pages
Date of creation: Mar 2007
Date of revision:
Lagrange multiplier test; constant correlation; trigonometric functions.;
Find related papers by JEL classification:
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models &bull 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
- G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
This paper has been announced in the following NEP Reports:
- NEP-ALL-2007-03-24 (All new papers)
- NEP-ECM-2007-03-24 (Econometrics)
- NEP-ETS-2007-03-24 (Econometric Time Series)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
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- William Goetzmann & Lingfeng Li & K. Rouwenhorst, 2001. "Long-Term Global Market Correlations," Yale School of Management Working Papers, Yale School of Management ysm237, Yale School of Management, revised 01 Jan 2008.
- William N. Goetzmann & Lingfeng Li & K. Geert Rouwenhorst, 2001. "Long-Term Global Market Correlations," NBER Working Papers 8612, National Bureau of Economic Research, Inc.
- Kaplanis, Evi C., 1988. "Stability and forecasting of the comovement measures of international stock market returns," Journal of International Money and Finance, Elsevier, Elsevier, vol. 7(1), pages 63-75, March.
- 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.
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