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High level chaos in the exchange and index markets

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  • BenSaïda, Ahmed
  • Litimi, Houda

Abstract

Many studies were inconclusive about the presence of chaos in financial markets due to test misspecification. Chaos tests present in the literature need noise-free time series, since any measurement error will induce the rejection of chaos. Moreover, chaos was merely tested on a low-level basis. This paper investigates the presence of a high-level noisy chaos in financial data; simulations were conclusive about the power of the test. When applied to six stock indexes and six exchange rates, the hypothesis of chaotic dynamics was rejected for all data.

Suggested Citation

  • BenSaïda, Ahmed & Litimi, Houda, 2013. "High level chaos in the exchange and index markets," Chaos, Solitons & Fractals, Elsevier, vol. 54(C), pages 90-95.
  • Handle: RePEc:eee:chsofr:v:54:y:2013:i:c:p:90-95
    DOI: 10.1016/j.chaos.2013.06.004
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    1. Shintani, Mototsugu & Linton, Oliver, 2004. "Nonparametric neural network estimation of Lyapunov exponents and a direct test for chaos," Journal of Econometrics, Elsevier, vol. 120(1), pages 1-33, May.
    2. Wolff Rodney & Yao Qiwei & Tong Howell, 2004. "Statistical Tests for Lyapunov Exponents of Deterministic Systems," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 8(2), pages 1-19, May.
    3. Opong, Kwaku K. & Mulholland, Gwyneth & Fox, Alan F. & Farahmand, Kambiz, 1999. "The behaviour of some UK equity indices: An application of Hurst and BDS tests1," Journal of Empirical Finance, Elsevier, vol. 6(3), pages 267-282, September.
    4. Çoban, Gürsan & Büyüklü, Ali H. & Das, Atin, 2012. "A linearization based non-iterative approach to measure the gaussian noise level for chaotic time series," Chaos, Solitons & Fractals, Elsevier, vol. 45(3), pages 266-278.
    5. Hsieh, David A, 1991. "Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-1877, December.
    6. Mishra, Ritesh Kumar & Sehgal, Sanjay & Bhanumurthy, N.R., 2011. "A search for long-range dependence and chaotic structure in Indian stock market," Review of Financial Economics, Elsevier, vol. 20(2), pages 96-104, May.
    7. Park, Joon Y. & Whang, Yoon-Jae, 2012. "Random walk or chaos: A formal test on the Lyapunov exponent," Journal of Econometrics, Elsevier, vol. 169(1), pages 61-74.
    8. Çoban, Gürsan & Büyüklü, Ali H., 2009. "Deterministic flow in phase space of exchange rates: Evidence of chaos in filtered series of Turkish Lira–Dollar daily growth rates," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1062-1067.
    9. Kyrtsou, Catherine & Terraza, Michel, 2002. "Stochastic chaos or ARCH effects in stock series?: A comparative study," International Review of Financial Analysis, Elsevier, vol. 11(4), pages 407-431.
    10. Takala, Kari & Viren, Matti, 1996. "Chaos and nonlinear dynamics in financial and nonfinancial time series: Evidence from Finland," European Journal of Operational Research, Elsevier, vol. 93(1), pages 155-172, August.
    11. McKenzie, Michael D., 2001. "Chaotic behavior in national stock market indices: New evidence from the close returns test," Global Finance Journal, Elsevier, vol. 12(1), pages 35-53.
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