Sains Malaysiana 37(4): 405-411(2008)

 

Fractionally Integrated Time-Varying Volatility under Structural Break: Evidence from Kuala Lumpur Composite Index

(Kemeruapan Merentas Masa Secara Pecahan Bersepadu  di Bawah Perubahan

Struktur: Bukti Daripada Indeks Komposit Kuala Lumpur)

 

Chin Wen Cheong

Faculty of Information Technology

Multimedia University, 63100 Cyberjaya

Selangor, Malaysia

 

Zaidi Isa

Faculty of Science Technology, Universiti Kebangsaan Malaysia

43600 Bangi, Selangor, Malaysia

 

Abu Hassan Shaari Mohd. Nor

Faculty of Economic and Business, Universiti Kebangsaan Malaysia

43600 Bangi, Selangor, Malaysia 

 

Received  :   4 July 2007 / Accepted :   22 January 2008 

 

ABSTRACT

 

This article study the influences of structural break to the fractionally integrated time-varying volatility model in Malaysian stock markets from year 1996 to 2006.  A fractionally integrated autoregressive conditional heteroscedastic (FIGARCH) model combines with sudden changes of volatility is develops to study the possibility of structural change in Asian financial crisis and currency crisis.  Our empirical results evidence substantially reduction in long memory clustering volatility after the inclusion of sudden changes in the volatility. Finally, the estimation, diagnostic and model selection evaluations indicate that the fractionally integrated model with structural change is out-performed compared to the standard model.

 

Keywords: Financial time series; statistical methodology 

 

ABSTRAK

 

Makalah ini mengkaji kesan perubahan struktur terhadap model pecahan bersepadu (FI) kemeruapan dalam bursa saham Malaysia dari 1996 ke 2006.  Model FIGARCH dengan combinasi perubahan struktur dibina untuk mengkaji kemungkinan perubahan struktur yang disebabkan oleh krisis kewangan Asia dan krisis matawang.  Keputusan empirik menunjukkan pengurangan di dalam kesan kemeruapan jangka panjang selepas mengambil kira kesan struktur perubahan. Pada kesimpulan, model FI dengan struktur perubahan menunjukkan keputusan penilaian pengganggaran, dignostik dan pemilihan model  yang lebih baik jika dibandingkan dengan model-model lain.

 

Kata kunci: Kemeruapan siri masa kewangan; metodologi statistik

 

REFERENCES/RUJUKAN

Andersen, T.G. & Bollerslev, T. 1997. Heterogeneous information arrivals and return volatility dynamics; uncovering the long-run in high frequency returns. Journal of Finance 52: 975-1005.Andersen, T.G., Bollerslev, T., Frederiksen, P.H. & Nielsen, M.O. 2005. Jumps in common stock returns. Manuscript. Northwestern University, Duke University and Cornell University.

Andrews, D.W.K. 1993. Tests for parameter instability and structural change with unknown change point. Econometrica 61: 821-856.Bai, J. & Perron, P. 1998. Estimating and testing linear models with multiple structural changes,Econometrica 66: 47-78.

Baillie, R. T., Bollerslev T. & Mikkelsen H.O. 1996. Fractionally integrated autoregressive conditional heteroscedasticity. Journal of Econometrics 74: 3-30.Banerjee A. Lumsdaine R.L.& Sotck J.H., 1992. Recursive and sequential tests of the unit root and trend break hypotheses: Theory and international evidence. Journal of Business and EconomicsStatistics 10: 271-287.

Barndorff-Nielsen, O.E. & Shephard, N. 2004. Power and bipower variation with stochastic volatility and jumps. Journal of Financial Econometrics 2: 1-37.Beran, J., & Ocker, D. 2001. Volatility of stock market indices - an analysis based on SEMIFAR models. Journal of Business & Economic Statistics 19(1): 103 - 116.Chaudhuri, K. & Klaassen, F.2001. Have East Asian stock markets calmed down? Evidence from a regime-switching model. Department of Economics Working Paper, University of Amsterdam.

Cheong, C.W., Abu H., S.M.N., & Zaidi, I. 2007. Asymmetry and Long Memory Volatility: some empirical evidence using GARCH. Physica A 373: 651-664.

Chung, C.F. 1999. Estimating the fractionally integrated GARCH model, National University Taiwan, Working Paper.

Dacorogna, M., Muller, U., Olsen R., & Pictet O. 2001. Defining efficiency in heterogeneous markets. Quantitative Finance 1(2): 198-201.

Diebold, F.X. & Inoue, A. 2001. Long memory and regime switching, Journal of Econometrics 105: 131-159.Ding Z., & C.W.J. Granger. 1996. Modelling volatility persistence of speculative returns: anew approach. Journal of Econometrics 73: 185-215.

Ding, Z., Granger C. W. J., & Engle R. F. 1993. A Long Memory Property of Stock Market Returns and a New Model. Journal of Empirical Finance 1: 83–106.

Goh K.L., Wong Y.C. & Kok K.L. 2005. Financial crisis and intertemporal linkages across the ASEAN-5 stock markets. Review of Quantitative Finance and Accounting 24: 359-377.

Granger, C. 1980. Long memory relationships and the aggregation of dynamic models. Journal of Econometrics 14: 227-238.

Granger, C.W.J. & Hyung, N. 2004. Occasional structural breaks and long memory with an application to the S&P500 absolute stock returns. Journal of Empirical Finance 11: 339-421.Hamilton, J.D.,& Susmel R. 1991. Autoregressive conditional heteroskedasticity and changes in regime. Journal of Econometrics 64: 307-333.

Hansen, B.E. 1995. Approximate asymptotic p-values for structural change test, Boston College Working Papers in Economics 297, Boston College.Hosking, J.R.M. 1981. Fractional differencing. Biometrika 69: 165-176.

Kim, H.Y., & Mei, J.P. 2001. What makes the stock market jumps? An analysis of political risk on Hong Kong stock returns. Journal of International Money Finance. 20: 1003-1016.Kok, K.L., & F.F. Lee. 1994. Malaysian second board stock market and the efficient market hypothesis.Malaysian Journal of Economic Studies 31(2): 1-13.

Law S.H. 2006. Has stock market volatility in the Kuala Lumpur stock exchange returned to Pre-Asianfinancial crisis levels?, ASEAN Economic Bulletin 23: 212-219.LeBaron B. 2001. Evolution and time horizons in an agent based stock market, MacroeconomicDynamics 5 (2): 225-254.

Lim, K.P., M.S. Habibullah & H.A. Lee. 2003. A BDS test of random walk in the Malaysian stock market. Labuan Bulletin of International Business and Finance 1(1): 29-39.Lumsdaine R.L. & Rapell D.H. 1997. Multiple trend breaks and the unit root hypothesis. The Review ofEconomics and Statistics 79: 212-218.

Muller, U., Dacorogna, M., Dav, R., Pictet, O., Olsen, R., & Ward, J. 1993. Fractals and intrinsic time-a challenge to econometricians. XXXIXth International AEA Conference on Real Time Econometrics. 14-15.Perron P. 1997. Further evidence of breaking trend functions inmacroeconomic variables. Journal of Econometrics 80 (2): 355-385

Tse, Y.K. 1998. The Conditional Heteroscedasticity of the Yen-Dollar Exchange Rate. Journal of Applied Econometrics 193: 49-55.

White, H. 1980. A heteroskedasticity-consistent covariance matrix and a direct test for heteroskedasticity. Econometrics 48: 817-838.

 

 

 

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