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The Structure and Degree of Dependence - A Quantile Regression Approach

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  • Dirk G Baur

Abstract

The copula function defines the degree of dependence and the structure of dependence. This paper proposes an alternative framework to decompose the dependence using quantile regression. It is demonstrated that the methodology provides a detailed picture of dependence including asymmetric and non-linear relationships. In addition, changes in the degree or structure of dependence can be modelled and tested for each quantile of the distribution. The empirical part applies the framework to three different sets of financial time-series and demonstrates substantial differences in dependence patterns among asset classes and through time. The analysis of 54 global equity markets shows that detailed information about the structure of dependence is crucial to adequately assess the benefits of diversification in normal times and crisis times.

Suggested Citation

  • Dirk G Baur, 2012. "The Structure and Degree of Dependence - A Quantile Regression Approach," Working Paper Series 170, Finance Discipline Group, UTS Business School, University of Technology, Sydney.
  • Handle: RePEc:uts:wpaper:170
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    File URL: http://www.finance.uts.edu.au/research/wpapers/wp170.pdf
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    More about this item

    Keywords

    quantile regression; copula; dependence modelling; tail dependence; contagion; financial crises;
    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
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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