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The fractal structure in multinational stock returns

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  • Bwo-Nung Huang
  • Chin Yang

Abstract

The essence of fractal analysis is seeking for a pattern that is independent of scale. This paper examines the existence of long-term memory in nine Asian stock markets together with US and UK indices using the modified rescaled-ranged (R/S) statistic. The modified R/S statistic is robust not only with respect to the normality assumption,but also to short-term autocorrelation. The data in the sample range from 1 January 1988 to 30 June 1992 and are arranged in daily, weekly and monthly returns. In most cases, the phenomenon of long-term memory is not found; hence the random walk hypothesis cannot be rejected.The UK market, however, exhibits some long-term memory for various data frequencies and lags. The result of this paper provides directions for future research.

Suggested Citation

  • Bwo-Nung Huang & Chin Yang, 1995. "The fractal structure in multinational stock returns," Applied Economics Letters, Taylor & Francis Journals, vol. 2(3), pages 67-71.
    • Handle: RePEc:taf:apeclt:v:2:y:1995:i:3:p:67-71
    DOI: 10.1080/135048595357591
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    3. Gianluca Mattarocci, 2009. "Market Characteristics and Chaos Dynamics in Stock Markets: an International Comparison," Palgrave Macmillan Studies in Banking and Financial Institutions, in: Alessandro Carretta & Franco Fiordelisi & Gianluca Mattarocci (ed.), New Drivers of Performance in a Changing Financial World, chapter 6, pages 89-106, Palgrave Macmillan.
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    5. Yuecai Han & Xudong Zheng, 2022. "Approximate Pricing of Derivatives Under Fractional Stochastic Volatility Model," Papers 2210.15453, arXiv.org.
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    9. Yalama, Abdullah & Celik, Sibel, 2013. "Real or spurious long memory characteristics of volatility: Empirical evidence from an emerging market," Economic Modelling, Elsevier, vol. 30(C), pages 67-72.
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