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Inversions Distribution and Testing Correlation Changes for Rates of Return

Author

Listed:
  • Mariusz Czekala
  • Zbigniew Kurylek

Abstract

Purpose: The paper presents the application of a test based on the inversions number distribution. The purpose of the work is to examine the stability of dependence measures between rates of return for financial instruments. Design/Methodology/Approach: The issue plays a vital role in portfolio analysis because dependence measures are an essential factor affecting the portfolio risk of financial instruments. Direct application of the classic measure of dependence, such as Pearson's correlation coefficient, requires several additional assumptions regarding the existence of moments or the normality of the distribution of random variables analyzed. Therefore, the choice falls on the tau Kendall coefficient. Findings: First of all, it is suitable for testing distributions for which variance does not exist (e.g., stable distributions). Secondly, we present a new way of testing the hypothesis about the equality of the Kendall coefficient over two separate periods. A miniature sample version was introduced in the article. An essential feature of the proposed test is the ability to calculate its power analytically.

Suggested Citation

  • Mariusz Czekala & Zbigniew Kurylek, 2021. "Inversions Distribution and Testing Correlation Changes for Rates of Return," European Research Studies Journal, European Research Studies Journal, vol. 0(3B), pages 633-650.
    • Handle: RePEc:ers:journl:v:xxiv:y:2021:i:3b:p:633-650
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    References listed on IDEAS

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    1. F. A. Lutz, 1940. "The Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 55(1), pages 36-63.
    2. Patton, Andrew J., 2012. "A review of copula models for economic time series," Journal of Multivariate Analysis, Elsevier, vol. 110(C), pages 4-18.
    3. J. M. Culbertson, 1957. "The Term Structure of Interest Rates," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 71(4), pages 485-517.
    4. Valen E. Johnson, 2005. "Bayes factors based on test statistics," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 67(5), pages 689-701, November.
    5. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    6. Derumigny, Alexis & Fermanian, Jean-David, 2020. "On Kendall’s regression," Journal of Multivariate Analysis, Elsevier, vol. 178(C).
    7. Fama, Eugene F, 1970. "Efficient Capital Markets: A Review of Theory and Empirical Work," Journal of Finance, American Finance Association, vol. 25(2), pages 383-417, May.
    8. Dehling, Herold & Vogel, Daniel & Wendler, Martin & Wied, Dominik, 2017. "Testing For Changes In Kendall’S Tau," Econometric Theory, Cambridge University Press, vol. 33(6), pages 1352-1386, December.
    9. Elliott, Jan Walter & Echols, Michael E, 1976. "Market Segmentation, Speculative Behavior, and the Term Structure of Interest Rates," The Review of Economics and Statistics, MIT Press, vol. 58(1), pages 40-49, February.
    10. Jobson, J D & Korkie, Bob M, 1981. "Performance Hypothesis Testing with the Sharpe and Treynor Measures," Journal of Finance, American Finance Association, vol. 36(4), pages 889-908, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Inversions; risk; Kendall tau; portfolio analysis; stable distribution; rate of returns; power of the test.;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions

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