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On the Robustness of Symmetry Tests for Stock Returns

Listed author(s):
  • Chen Yi-Ting

    ()

    (Institute of Economics, Academia Sinica)

  • Lin Chang-Ching

    ()

    (Institute of Economics, Academia Sinica)

Registered author(s):

    In this paper, by using a generalized asymmetry measure with the heteroskedasticity autocorrelation consistent estimation method and a long-run variance eliminating method, we propose two generalized symmetry tests in the presence of unknown distributions and serial dependence. The proposed tests encompass existing skewness tests, and generate new symmetry tests that are robust to both the heavy-tails and the serial dependence of stock returns. We also utilize the concept of an augmented distribution to establish an asymmetric distribution family that encompasses Pearson's type-IV distribution, and we use this distribution family and the score test principle to discuss the choice of asymmetry measures for testing symmetry. In this study, we also compare our tests with existing tests using a Monte Carlo simulation and an empirical example, and show that the robust tests outperform existing tests for checking the symmetry of stock returns.

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    File URL: https://www.degruyter.com/view/j/snde.2008.12.2/snde.2008.12.2.1591/snde.2008.12.2.1591.xml?format=INT
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    Article provided by De Gruyter in its journal Studies in Nonlinear Dynamics & Econometrics.

    Volume (Year): 12 (2008)
    Issue (Month): 2 (May)
    Pages: 1-40

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    Handle: RePEc:bpj:sndecm:v:12:y:2008:i:2:n:2
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    1. Andrew J. Patton, 2004. "On the Out-of-Sample Importance of Skewness and Asymmetric Dependence for Asset Allocation," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 2(1), pages 130-168.
    2. Harvey, Campbell R. & Siddique, Akhtar, 1999. "Autoregressive Conditional Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(04), pages 465-487, December.
    3. Gamini Premaratne, 2005. "A Test for Symmetry with Leptokurtic Financial Data," Journal of Financial Econometrics, Society for Financial Econometrics, vol. 3(2), pages 169-187.
    4. Paul A. Samuelson, 1970. "The Fundamental Approximation Theorem of Portfolio Analysis in terms of Means, Variances and Higher Moments," Review of Economic Studies, Oxford University Press, vol. 37(4), pages 537-542.
    5. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, 09.
    6. Blattberg, Robert C & Gonedes, Nicholas J, 1974. "A Comparison of the Stable and Student Distributions as Statistical Models for Stock Prices," The Journal of Business, University of Chicago Press, vol. 47(2), pages 244-280, April.
    7. Badrinath, S G & Chatterjee, Sangit, 1988. "On Measuring Skewness and Elongation in Common Stock Return Distributions: The Case of the Market Index," The Journal of Business, University of Chicago Press, vol. 61(4), pages 451-472, October.
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