Can a stochastic cusp catastrophe model explain stock market crashes?
This paper is the first attempt to fit 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 September 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 fits 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.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Igor Evstigneev & Michael Taksar, 2006.
"Dynamic interaction models of economic equilibrium,"
The School of Economics Discussion Paper Series
0623, Economics, The University of Manchester.
- Evstigneev, Igor & Taksar, Michael, 2009. "Dynamic interaction models of economic equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 166-182, January.
- Day, Richard H. & Huang, Weihong, 1990.
"Bulls, bears and market sheep,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 14(3), pages 299-329, December.
- Ho, Thomas S Y & Saunders, Anthony, 1980. " A Catastrophe Model of Bank Failure," Journal of Finance, American Finance Association, vol. 35(5), pages 1189-1207, December.
- Boswijk, H. Peter & Hommes, Cars H. & Manzan, Sebastiano, 2007.
"Behavioral heterogeneity in stock prices,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 31(6), pages 1938-1970, June.
- Boswijk, H.P. & Hommes C.H. & Manzan, S., 2005. "Behavioral Heterogeneity in Stock Prices," CeNDEF Working Papers 05-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Peter Boswijk & Cars H. Hommes & Sebastiano Manzan, 2005. "Behavioral Heterogeneity in Stock Prices," Tinbergen Institute Discussion Papers 05-052/1, Tinbergen Institute.
- Wang, Yaw-Huei & Keswani, Aneel & Taylor, Stephen J., 2006. "The relationships between sentiment, returns and volatility," International Journal of Forecasting, Elsevier, vol. 22(1), pages 109-123.
- Gerard Gennotte and Hayne Leland., 1989.
"Market Liquidity, Hedging and Crashes,"
Research Program in Finance Working Papers
RPF-184, University of California at Berkeley.
- Christian Bauer & Paul De Grauwe & Stefan Reitz, 2007.
"Exchange Rates Dynamics in a Target Zone – A Heterogeneous Expectations Approach,"
CESifo Working Paper Series
2080, CESifo Group Munich.
- Bauer, Christian & De Grauwe, Paul & Reitz, Stefan, 2009. "Exchange rate dynamics in a target zone--A heterogeneous expectations approach," Journal of Economic Dynamics and Control, Elsevier, vol. 33(2), pages 329-344, February.
- Bauer, Christian & De Grauwe, Paul & Reitz, Stefan, 2007. "Exchange rate dynamics in a target zone: a heterogeneous expectations approach," Discussion Paper Series 1: Economic Studies 2007,11, Deutsche Bundesbank, Research Centre.
- LeBaron, Blake, 2006. "Agent-based Computational Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 24, pages 1187-1233 Elsevier.
- Finucane, Thomas J., 1991. "Put-Call Parity and Expected Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 26(04), pages 445-457, December.
- Cars H. Hommes, 2005.
"Heterogeneous Agent Models in Economics and Finance,"
Tinbergen Institute Discussion Papers
05-056/1, Tinbergen Institute.
- Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
- Brock, William A. & Hommes, Cars H., 1998.
"Heterogeneous beliefs and routes to chaos in a simple asset pricing model,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 22(8-9), pages 1235-1274, August.
- Brock, W.A. & Hommes, C.H., 1996. "Hetergeneous Beliefs and Routes to Chaos in a Simple Asset Pricing Model," Working papers 9621, Wisconsin Madison - Social Systems.
- Mark A. Carlson, 2006. "A brief history of the 1987 stock market crash with a discussion of the Federal Reserve response," Finance and Economics Discussion Series 2007-13, Board of Governors of the Federal Reserve System (U.S.).
- Hołyst, Janusz A. & Kacperski, Krzysztof & Schweitzer, Frank, 2000. "Phase transitions in social impact models of opinion formation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 285(1), pages 199-210.
- Rosser Jr., J. Barkley, 2007. "The rise and fall of catastrophe theory applications in economics: Was the baby thrown out with the bathwater?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(10), pages 3255-3280, October.
- Georges, Christophre, 2008. "Staggered updating in an artificial financial market," Journal of Economic Dynamics and Control, Elsevier, vol. 32(9), pages 2809-2825, September.
- Zeeman, E. C., 1974. "On the unstable behaviour of stock exchanges," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 39-49, March.
When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:33:y:2009:i:10:p:1824-1836. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu)
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.