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Empirical Analyses of Industry Stock Index Return Distributions for the Taiwan Stock Exchange

Author

Listed:
  • Svetlozar T. Rachev

    (School of Economics and Business Engineering, University of Karlsruhe)

  • Chufang Wu

    (Department of Applied Mathematics, National Donghua University of Taiwan)

  • Frank J. Fabozzi

    (Finance and Becton Fellow, School of Management, Yale University)

Abstract

We study the daily return distributions for 22 industry stock indexes on the Tai-wan Stock Exchange under the unconditional homoskedastic independent, identically distributed and the conditional heteroskedastic GARCH models. Two distribution hypotheses are tested: the Gaussian and the stable Paretian distributions. The performance of the stable Paretian distribution is better than that of the Gaussian distribution. A back-testing example is provided to give evidence on the superiority of the stable ARMA-GARCH to the normal ARMA-GARCH.

Suggested Citation

  • Svetlozar T. Rachev & Chufang Wu & Frank J. Fabozzi, 2007. "Empirical Analyses of Industry Stock Index Return Distributions for the Taiwan Stock Exchange," Annals of Economics and Finance, Society for AEF, vol. 8(1), pages 21-31, May.
    • Handle: RePEc:cuf:journl:y:2007:v:8:i:1:p:21-31
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    References listed on IDEAS

    as
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    2. Benoit Mandelbrot, 2015. "The Variation of Certain Speculative Prices," World Scientific Book Chapters, in: Anastasios G Malliaris & William T Ziemba (ed.), THE WORLD SCIENTIFIC HANDBOOK OF FUTURES MARKETS, chapter 3, pages 39-78, World Scientific Publishing Co. Pte. Ltd..
    3. Yu Chuan Huang & Bor-Jing Lin, 2004. "Value-at-Risk Analysis for Taiwan Stock Index Futures: Fat Tails and Conditional Asymmetries in Return Innovations," Review of Quantitative Finance and Accounting, Springer, vol. 22(2), pages 79-95, March.
    4. Bollerslev, Tim, 1987. "A Conditionally Heteroskedastic Time Series Model for Speculative Prices and Rates of Return," The Review of Economics and Statistics, MIT Press, vol. 69(3), pages 542-547, August.
    5. Rachev, S.T (ed.), 2003. "Handbook of Heavy Tailed Distributions in Finance," Elsevier Monographs, Elsevier, edition 1, number 9780444508966.
    6. Chiang, Thomas C. & Doong, Shuh-Chyi, 1999. "Empirical analysis of real and financial volatilities on stock excess returns: evidence from Taiwan industrial data," Global Finance Journal, Elsevier, vol. 10(2), pages 187-200.
    7. 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.
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    Cited by:

    1. Yuri Heymann, 2016. "A test of financial time-series data to discriminate among lognormal, Gaussian and square-root random walks," Computational Statistics, Springer, vol. 31(4), pages 1373-1383, December.
    2. Wei Sun & Svetlozar Rachev & Frank J. Fabozzi, 2009. "A New Approach for Using Lévy Processes for Determining High‐Frequency Value‐at‐Risk Predictions," European Financial Management, European Financial Management Association, vol. 15(2), pages 340-361, March.

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    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)

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