Non-linearity in financial series: transitory or permanent?

Authors

  • Christian E. Espinosa M. Universidad de Santiago de Chile
  • Juan Gorigoitía Universidad de Santiago de Chile
  • Carlos Maquieira Universidad del Pacífico

Abstract

In this article we present evidence that non-linear episodes in financial series are more permanent than transitory, while showing different behaviors depending on the market analyzed, which would indicate that they are not completely synchronized. On the other hand, the size of the window for detecting non-linear episodes has an impact on the number of non-linear windows found, as well as the percentage of non-linear windows with respect to the total number of windows, confirming a window size effect. The results strongly invalidate the efficient markets hypothesis and forcefully explain the impossibility of predicting their future values.

Keywords:

Hinich Test, Rolling Method, Stock Indices, Window Size Effect

References

Abhyankar, A., Copeland, L. and Wong, W. (1995). Nonlinear dynamics in real-time equity market indices: evidence from the United Kingdom. Economic Journal 105, 864–80.

Ammermann, P. and Patterson, D. (2003). The cross-sectional and cross-temporal universality of nonlinear serial dependencies: evidence from world stock indices and the Taiwan Stock Exchange. Pacific-Basin Finance Journal, 11, 175–95.

Bonilla, C., Romero-Meza, R. and Hinich, M. (2006). Episodic nonlinearity in Latin American stock market indices. Applied Economics Letters, 13, 195–9.

Bonilla, C., Maquieira, C. and Romero-Meza, R. (2008). Nonlinear behavior of emerging market bonds spreads: the Latin American case. Applied Economics 40, 2697-2702.

Bonilla, C., Romero-Meza, R. and Maquieira, C. (2010). Nonlinearities and GARCH inadequacy for modeling stock market returns; empirical evidence from Latin America. Macroeconomic Dynamics, 1-12.

Bonilla, C.A., Romero-Meza, R. and Gutierrez, E. (2011) Episodic Nonlinearities and Market Efficiency in the Mexican Stock Market, The Manchester School, 79, 367-380.

Brooks, C. Hinich, M.J. and Molyneux, R. (2000). Episodic nonlinear event detection: Political epochs in exchange rates. In: D. Richards (Ed.), Political complexity: Political epochs in exchange rates, Ann Arbor, MI: Michigan University Press, pp. 83-98.

Brooks, C. (1996). Testing for nonlinearity in daily sterling exchanges rates. Applied Financial Economics 6, 307–17.

Brooks, C. and Hinich, M.J. (1998). Episodic nonstationarity in exchange rates, Applied Economics Letters 5, 719-722.

Espinosa, C., Gorigoitía, J. and Maquieira, C. (2013). Comportamiento no lineal en series de productos primarios. El Trimestre Económico, vol. LXXX (1), issue 317, pages 143-168.

Espinosa, C., Gorigoitía, J. Maquieira, C. and Vieito, J. (2014). Non-Linear Behaviour in EMBI series from Eastern Europe: Evidence of “window size effect”. Applied Economics Letters 21(2), 107-112.

Hinich, M. (1996). Testing for dependence in the input to a linear time series model. Journal of Nonparametric Statistics 6, 205–21.

Hinich, M. and Patterson, D. (1985). Evidence of nonlinearity in daily stock returns. Journal of Business and Economic Statistics 3, 69–77.

Hsieh, D. (1991). Chaos and nonlinear dynamics: application to financial markets. Journal of Finance 46, 1839–77.

Kosfeld, R. and Robé, S. (2001). Testing for nonlinearities in German bank stock returns. Empirical Economics 26, 581–97.

Lim, K. and Hinich, M. (2005). Cross-temporal universality of nonlinear serial dependencies in Asian stock markets. Economics Bulletin 7, 1–6.

Lim, K. P., Brooks, R. D. and Hinich, M. J. (2006). Testing the assertion that emerging Asian stock markets are becoming more efficient. SSRN Working Paper Series.

Lim, K. P., Brooks, R. D. and Hinich, M. J. (2008). Nonlinear serial dependence and the weak-form efficiency of Asian emerging stock markets. Journal of International Financial Markets, Institutions and Money, 18(5), 527-544.

Lo, A. W. (2004). The Adaptive Markets Hypothesis: Market Efficiency from an Evolutionary Perspective. Journal of Portfolio Management, 30, pp. 15-29.

Lo, A. W. (2005). Reconciling efficient markets with behavioral finance: the Adaptive Markets Hypothesis. Journal of Investment Consulting 7(2), pp. 21-44.

Opong, K., Mulholland, G., Fox, A. and Farahmand, K. (1999). The behavior of some UK equity indices: an application of Hurst and BDS tests. Journal of Empirical Finance 6, 267–82.

Scheinkman, J., and LeBaron, B. (1989). Nonlinear dynamics and stock returns. Journal of Business 62, 311–37.

Todea, A. and Zoicas-Ienciu, A. (2008). Episodic dependencies in central and Eastern Europe stock markets, Applied Economics Letters, 15, 1123–1126.