Publication detail

Barunik J., Vosvrda M.: Can a stochastic cusp catastrophe model explain stock market crashes?

Author(s): doc. PhDr. Jozef Baruník Ph.D.,
prof. Ing. Miloslav Vošvrda CSc.,
Type: Articles in journals with impact factor
Year: 2009
Number: 0
ISSN / ISBN:
Published in: Journal of Economic Dynamics and Control 33, pp. 1824-1836 PDF
Publishing place:
Keywords: cusp catastrophe, bifurcations, singularity, nonlinear dynamics, stock market crash
JEL codes: C01, C53
Suggested Citation: Barunik, J., Vosvrda, M. (2009): Can a stochastic cusp catastrophe model explain stock market crashes? Journal of Economic Dynamics and Control 33, pp. 1824-1836
Grants: 402/09/0965: New Approaches for monitoring and prediction of capital markets GAUK 46108: New Nonlinear Capital Markets Theories: Fractal, Bifurcational and Behavioral Approach IES Research Framework Institutional task (2005-2011) Integration of the Czech economy into European union and its development
Abstract: This paper is the …rst attempt to …t a stochastic cusp catastrophe model to stock market data. We show that the cusp catastrophe model explains the crash of stock exchanges much better than other models. Using the data of U.S. stock markets we demonstrate that the crash of October 19, 1987 may be better explained by cusp catastrophe theory, which is not true for the crash of Sept. 11, 2001. With the help of sentiment measures, such as the index put/call options ratio and trading volume (the former models the chartists, the latter the fundamentalists), we have found that the 1987 returns are bimodal, and the cusp catastrophe model …ts these data better than alternative models. Therefore we may say that the crash has been led by internal forces. However, the causes for the crash of 2001 are external, which is also evident in much weaker presence of bifurcations in the data. In this case, alternative models explain the crash of stock exchanges better than the cusp catastrophe model.

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