Time irreversibility and EGARCH effects in US stock index returns
In this paper we suggest using a modified version of the time reversibility (TR) test of Chen, Chou and Kuan (2000) as a complementary diagnostic test for time series models. The modified CCK test is easy to compute and requires weaker moment conditions than existing tests. Our simulations demonstrate that this test is powerful against asymmetry in volatility but the BDS test is not. In the empirical study of US stock index returns, we first find that these returns are all time irreversible. Applying the GARCH and EGARCH models to these returns, we also find that the Q and BDS tests always accept the null hypothesis and cannot distinguish between these models. By contrast, the modified CCK test accepts only the EGARCH model with an order that can accommodate the underlying asymmetry in volatility. Our results suggest that the detected time irreversibility in these return series may be attributed to volatility asymmetry and that such asymmetry may be captured using a proper EGARCH model. Copyright © 2002 John Wiley & Sons, Ltd.
Volume (Year): 17 (2002)
Issue (Month): 5 ()
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- Hinich , Melvin J. & Rothman, Philip, 1998.
"Frequency-Domain Test Of Time Reversibility,"
Cambridge University Press, vol. 2(01), pages 72-88, March.
- Melvin J. Hinich & Philip Rothman, "undated". "A Frequency Domain Test of Time Reversibility," Working Papers 9706, East Carolina University, Department of Economics.
- Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
- Lee, Sang-Won & Hansen, Bruce E., 1994. "Asymptotic Theory for the Garch(1,1) Quasi-Maximum Likelihood Estimator," Econometric Theory, Cambridge University Press, vol. 10(01), pages 29-52, March.
- Brooks, Chris & Heravi, Saeed M, 1999. "The Effect of (Mis-Specified) GARCH Filters on the Finite Sample Distribution of the BDS Test," Computational Economics, Springer;Society for Computational Economics, vol. 13(2), pages 147-162, April.
- Brooks, Chris & Henry, Olan T., 2000. "Can portmanteau nonlinearity tests serve as general mis-specification tests?: Evidence from symmetric and asymmetric GARCH models," Economics Letters, Elsevier, vol. 67(3), pages 245-251, June.
- Brooks, C. & Henry, O.T., 1999. "Can Portemanteau Nonlinearity Tests Serve as General Mis-Specification Tests? Evidence from Symmetric and Asymmetric GARCH Models," Department of Economics - Working Papers Series 723, The University of Melbourne.
- Hsieh, David A, 1989. "Testing for Nonlinear Dependence in Daily Foreign Exchange Rates," The Journal of Business, University of Chicago Press, vol. 62(3), pages 339-368, July.
- Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
- Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
- Chen, Yi-Ting & Chou, Ray Y. & Kuan, Chung-Ming, 2000. "Testing time reversibility without moment restrictions," Journal of Econometrics, Elsevier, vol. 95(1), pages 199-218, March.
- Hsieh, David A, 1991. " Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-1877, December.
- Ramsey, James B & Rothman, Philip, 1996. "Time Irreversibility and Business Cycle Asymmetry," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 1-21, February.
- Ramsey, J.B. & Rothman, P., 1993. "Time Irreversibility and Business Cycle Asymmetry," Working Papers 93-39, C.V. Starr Center for Applied Economics, New York University.
- Rothman, P, 1992. "The Comparative Power of the TR Test against Simple Threshold Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 187-195, Suppl. De.
- Bollerslev, Tim & Chou, Ray Y. & Kroner, Kenneth F., 1992. "ARCH modeling in finance : A review of the theory and empirical evidence," Journal of Econometrics, Elsevier, vol. 52(1-2), pages 5-59.
- Engle, Robert F & Lilien, David M & Robins, Russell P, 1987. "Estimating Time Varying Risk Premia in the Term Structure: The Arch-M Model," Econometrica, Econometric Society, vol. 55(2), pages 391-407, March.
- Hsieh, David A., 1993. "Implications of Nonlinear Dynamics for Financial Risk Management," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(01), pages 41-64, March.
- A. Abhyankar & L. S. Copeland & W. Wong, 1995. "Moment condition failure in high frequency financial data: evidence from the S&P 500," Applied Economics Letters, Taylor & Francis Journals, vol. 2(8), pages 288-290. Full references (including those not matched with items on IDEAS)