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Structural breaks and GARCH models of stock return volatility: The case of South Africa

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  • Babikir, Ali
  • Gupta, Rangan
  • Mwabutwa, Chance
  • Owusu-Sekyere, Emmanuel

Abstract

This paper investigates the empirical relevance of structural breaks in forecasting stock return volatility using both in-sample and out-of-sample tests applied to daily returns of the Johannesburg Stock Exchange (JSE) All Share Index from 07/02/1995 to 08/25/2010. We find evidence of structural breaks in the unconditional variance of the stock returns series over the period, with high levels of persistence and variability in the parameter estimates of the GARCH(1,1) model across the sub-samples defined by the structural breaks. This indicates that structural breaks are empirically relevant to stock return volatility in South Africa. However, based on the out-of-sample forecasting exercise, we find that even though there structural breaks in the volatility, there are no statistical gains from using competing models that explicitly accounts for structural breaks, relative to a GARCH(1,1) model with expanding window. This could be because of the fact that the two identified structural breaks occurred in our out-of-sample, and recursive estimation of the GARCH(1,1) model is perhaps sufficient to account for the effect of the breaks on the parameter estimates. Finally, we highlight that, given the point of the breaks, perhaps what seems more important in South Africa, is accounting for leverage effects, especially in terms of long-horizon forecasting of stock return volatility.

Suggested Citation

  • Babikir, Ali & Gupta, Rangan & Mwabutwa, Chance & Owusu-Sekyere, Emmanuel, 2012. "Structural breaks and GARCH models of stock return volatility: The case of South Africa," Economic Modelling, Elsevier, vol. 29(6), pages 2435-2443.
  • Handle: RePEc:eee:ecmode:v:29:y:2012:i:6:p:2435-2443
    DOI: 10.1016/j.econmod.2012.06.038
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    1. repec:eee:eneeco:v:66:y:2017:i:c:p:523-534 is not listed on IDEAS
    2. Goodness C. Aye & Mehmet Balcilar & Rangan Gupta & Nicholas Kilimani & Amandine Nakumuryango & Siobhan Redford, 2014. "Predicting BRICS stock returns using ARFIMA models," Applied Financial Economics, Taylor & Francis Journals, vol. 24(17), pages 1159-1166, September.
    3. Pramod Kumar Naik & Rangan Gupta & Puja Padhi, 2018. "The Relationship Between Stock Market Volatility And Trading Volume: Evidence From South Africa," Journal of Developing Areas, Tennessee State University, College of Business, vol. 52(1), pages 99-114, January-M.
    4. King, Daniel & Botha, Ferdi, 2015. "Modelling stock return volatility dynamics in selected African markets," Economic Modelling, Elsevier, vol. 45(C), pages 50-73.
    5. Esin Cakan & Rangan Gupta, 2016. "Does U.S. Macroeconomic News Make the South African Stock Market Riskier?," Working Papers 201646, University of Pretoria, Department of Economics.
    6. Reza, Md. Ridwan & Masih, Mansur, 2017. "Regime switching behavior of volatilities of Islamic equities: evidence from Markov- Switching GARCH models for some selected broad based indices," MPRA Paper 82123, University Library of Munich, Germany.
    7. Tao Xiong & Yukun Bao & Zhongyi Hu, 2014. "Multiple-output support vector regression with a firefly algorithm for interval-valued stock price index forecasting," Papers 1401.1916, arXiv.org.
    8. Tse, Chin-Bun & Rodgers, Timothy & Niklewski, Jacek, 2014. "The 2007 financial crisis and the UK residential housing market: Did the relationship between interest rates and house prices change?," Economic Modelling, Elsevier, vol. 37(C), pages 518-530.
    9. Zhang, Bo & Wang, Jun & Fang, Wen, 2015. "Volatility behavior of visibility graph EMD financial time series from Ising interacting system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 432(C), pages 301-314.
    10. repec:eee:ecmode:v:67:y:2017:i:c:p:355-367 is not listed on IDEAS
    11. Ezzat, Hassan, 2013. "Long Memory Processes and Structural Breaks in Stock Returns and Volatility: Evidence from the Egyptian Exchange," MPRA Paper 51465, University Library of Munich, Germany.
    12. repec:ebl:ecbull:eb-17-00029 is not listed on IDEAS

    More about this item

    Keywords

    Stock return volatility; Structural breaks; In-sample tests; Out-of-sample tests; GARCH models;

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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