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Statistical Inadequacy of GARCH Models for Asian Stock Markets

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  • Kian-Ping Lim

    (Kian-Ping Lim (corresponding author) and Venus Khim-Sen Liew are at the Labuan School of International Business and Finance, Universiti Malaysia Sabah, Malaysia. E–mail: kianping@ums.edu.my)

  • Melvin J. Hinich

    (Melvin J. Hinich is at the Applied Research Laboratories, University of Texas at Austin.)

  • Venus Khim-Sen Liew

Abstract

This study employs the Hinich portmanteau bicorrelation test (Hinich 1996; Hinich and Patterson 1995) as a diagnostic tool to determine the adequacy of Generalised Autoregressive Conditional Heteroscedasticity (GARCH) models for eight Asian stock markets. The bicorrelation test results demonstrate that this type of model cannot provide an adequate characterisation for the underlying process of all the selected Asian stock markets. Further investigation using the windowed test procedure reveals that the violation of the covariance stationarity assumption as required by the GARCH process is due to the presence of transient epochs of dependencies in the data. The inadequacy of GARCH models has strong implications for the pricing of stock index options, portfolios selection, development of optimal hedging techniques and risk management.

Suggested Citation

  • Kian-Ping Lim & Melvin J. Hinich & Venus Khim-Sen Liew, 2005. "Statistical Inadequacy of GARCH Models for Asian Stock Markets," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 4(3), pages 263-279, December.
    • Handle: RePEc:sae:emffin:v:4:y:2005:i:3:p:263-279
    DOI: 10.1177/097265270500400303
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    References listed on IDEAS

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    1. Diebold, Francis X. & Nason, James A., 1990. "Nonparametric exchange rate prediction?," Journal of International Economics, Elsevier, vol. 28(3-4), pages 315-332, May.
    2. David McMillan & Alan Speight, 2001. "Nonlinearities in the black market zloty-dollar exchange rate: some further evidence," Applied Financial Economics, Taylor & Francis Journals, vol. 11(2), pages 209-220.
    3. De Bondt, Werner F M & Thaler, Richard H, 1987. "Further Evidence on Investor Overreaction and Stock Market Seasonalit y," Journal of Finance, American Finance Association, vol. 42(3), pages 557-581, July.
    4. Engle, Robert F. (ed.), 1995. "ARCH: Selected Readings," OUP Catalogue, Oxford University Press, number 9780198774327.
    5. Abhyankar, A & Copeland, L S & Wong, W, 1995. "Nonlinear Dynamics in Real-Time Equity Market Indices: Evidence from the United Kingdom," Economic Journal, Royal Economic Society, vol. 105(431), pages 864-880, July.
    6. Ammermann, Peter A. & Patterson, Douglas M., 2003. "The cross-sectional and cross-temporal universality of nonlinear serial dependencies: Evidence from world stock indices and the Taiwan Stock Exchange," Pacific-Basin Finance Journal, Elsevier, vol. 11(2), pages 175-195, April.
    7. Antonios Antoniou & Nuray Ergul & Phil Holmes, 1997. "Market Efficiency, Thin Trading and Non‐linear Behaviour: Evidence from an Emerging Market," European Financial Management, European Financial Management Association, vol. 3(2), pages 175-190, July.
    8. De Bondt, Werner F M & Thaler, Richard, 1985. "Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
    9. 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.
    10. Ramsey James B., 1996. "If Nonlinear Models Cannot Forecast, What Use Are They?," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(2), pages 1-24, July.
    11. 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.
    12. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    13. Melvin J. Hinich, 1982. "Testing For Gaussianity And Linearity Of A Stationary Time Series," Journal of Time Series Analysis, Wiley Blackwell, vol. 3(3), pages 169-176, May.
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    2. Wild, Phillip & Hinich, Melvin J. & Foster, John, 2010. "Are daily and weekly load and spot price dynamics in Australia's National Electricity Market governed by episodic nonlinearity?," Energy Economics, Elsevier, vol. 32(5), pages 1082-1091, September.
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    4. Vinodh Madhavan & Partha Ray, 2018. "Evolving Efficiency of Dually-Listed Indian Stocks: A Nonlinear Perspective," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 16(1), pages 13-35, March.
    5. Ehsan Ahmed & J. Barkley Rosser Jr. & Jamshed Y. Uppal, 2010. "Emerging Markets and Stock Market Bubbles: Nonlinear Speculation?," Emerging Markets Finance and Trade, Taylor & Francis Journals, vol. 46(4), pages 23-40, January.

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