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Asymmetry and long-memory volatility: Some empirical evidence using GARCH

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  • Wen Cheong, Chin
  • Hassan Shaari Mohd Nor, Abu
  • Isa, Zaidi

Abstract

This paper investigates the asymmetry and long-memory volatility behavior of the Malaysian Stock Exchange daily data over a period of 1991–2005. The long-spanning data set enable us to examine piecewise before, during and after the economic crisis encountered in the Malaysian stock market. The daily index returns are adjusted for infrequent trading effect and the estimated Hurst's parameter allows us to rank the market efficiency across the periods. The leverage effect, clustering volatility and long-memory behavior of the volatility are fitted by the asymmetry GARCH models and GARCH with the inclusion of realized volatility at the final period. Across the periods, the results show the mixture of symmetry and asymmetry GARCH modeling.

Suggested Citation

  • Wen Cheong, Chin & Hassan Shaari Mohd Nor, Abu & Isa, Zaidi, 2007. "Asymmetry and long-memory volatility: Some empirical evidence using GARCH," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 651-664.
  • Handle: RePEc:eee:phsmap:v:373:y:2007:i:c:p:651-664
    DOI: 10.1016/j.physa.2006.05.050
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    2. Lim, Kian-Ping & Brooks, Robert D., 2009. "Price limits and stock market efficiency: Evidence from rolling bicorrelation test statistic," Chaos, Solitons & Fractals, Elsevier, vol. 40(3), pages 1271-1276.
    3. Chin, Wen Cheong, 2008. "Heavy-tailed value-at-risk analysis for Malaysian stock exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(16), pages 4285-4298.
    4. José A. Roldán-Casas & Mª B. García-Moreno García, 2022. "A procedure for testing the hypothesis of weak efficiency in financial markets: a Monte Carlo simulation," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 31(5), pages 1289-1327, December.
    5. Karasiński Jacek & Zduńczak Patryk, 2021. "Do extreme market value ratios mean that the market is informationally inefficient? A study of the Warsaw Stock Exchange," Journal of Economics and Management, Sciendo, vol. 43(1), pages 206-224, May.
    6. Kang, Sang Hoon & Cheong, Chongcheul & Yoon, Seong-Min, 2010. "Contemporaneous aggregation and long-memory property of returns and volatility in the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4844-4854.
    7. Arshad, Shaista & Rizvi, Syed Aun R., 2015. "The troika of business cycle, efficiency and volatility. An East Asian perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 158-170.
    8. Ben Rejeb, Aymen & Boughrara, Adel, 2013. "Financial liberalization and stock markets efficiency: New evidence from emerging economies," Emerging Markets Review, Elsevier, vol. 17(C), pages 186-208.
    9. Kang, Sang Hoon & Cheong, Chongcheul & Yoon, Seong-Min, 2010. "Long memory volatility in Chinese stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1425-1433.
    10. Cheong, Chin Wen, 2008. "Time-varying volatility in Malaysian stock exchange: An empirical study using multiple-volatility-shift fractionally integrated model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(4), pages 889-898.
    11. Fu, Hui & Chen, Wenting & He, Xin-Jiang, 2018. "On a class of estimation and test for long memory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 906-920.
    12. Wang, Yudong & Liu, Li & Gu, Rongbao, 2009. "Analysis of efficiency for Shenzhen stock market based on multifractal detrended fluctuation analysis," International Review of Financial Analysis, Elsevier, vol. 18(5), pages 271-276, December.
    13. Choi, Sun-Yong, 2021. "Analysis of stock market efficiency during crisis periods in the US stock market: Differences between the global financial crisis and COVID-19 pandemic," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    14. Lim, Kian-Ping & Brooks, Robert D. & Kim, Jae H., 2008. "Financial crisis and stock market efficiency: Empirical evidence from Asian countries," International Review of Financial Analysis, Elsevier, vol. 17(3), pages 571-591, June.
    15. Kang, Sang Hoon & Cho, Hwan-Gue & Yoon, Seong-Min, 2009. "Modeling sudden volatility changes: Evidence from Japanese and Korean stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3543-3550.

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