Nonlinear dynamical model of regime switching between conventions and business cycles
AbstractWe introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes into account (i) the price formation delay between decision and investment by the second-order nature of the dynamical equations, (ii) the linear and nonlinear mean-reversal or their contrarian in the form of speculative price trading, (iii) market friction, (iv) uncertainty in the fundamental value that controls the amplitude of mispricing, (v) nonlinear speculative momentum effects and (vi) market regulations that may limit large mispricing drifts. We find markets with coexisting equilibrium, conventions and business cycles that depend on (a) the relative strength of value-investing versus momentum-investing, (b) the level of uncertainty on the fundamental value, and (c) the degree of market regulation. The stochastic dynamics is characterized by nonlinear geometric random walk-like processes with spontaneous regime shifts between different conventions or business cycles. This model provides a natural dynamical framework to model regime shifts between different market phases that may result from the interplay between the effects (i-vi).
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Behavior & Organization.
Volume (Year): 70 (2009)
Issue (Month): 1-2 (May)
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Web page: http://www.elsevier.com/locate/jebo
Prices Business fluctuations and cycles Simultaneous equation models General aggregative models;
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.:
- Plott, Charles R & Sunder, Shyam, 1988.
"Rational Expectations and the Aggregation of Diverse Information in Laboratory Security Markets,"
Econometric Society, vol. 56(5), pages 1085-1118, September.
- Plott, Charles R. & Sunder, Shyam., . "Rational Expectations and the Aggregation of Diverse Information in Laboratory Security Markets," Working Papers 463, California Institute of Technology, Division of the Humanities and Social Sciences.
- J. Doyne Farmer, 1999.
"Market Force, Ecology, and Evolution,"
Computing in Economics and Finance 1999
651, Society for Computational Economics.
- Andrei Shleifer & Robert W. Vishny, 1995.
"The Limits of Arbitrage,"
NBER Working Papers
5167, National Bureau of Economic Research, Inc.
- Andrei Shleifer ad Robert W. Vishny, 1995. "The Limits of Arbitrage," Harvard Institute of Economic Research Working Papers 1725, Harvard - Institute of Economic Research.
- Bonomo, M. & Garcia, R., 1991.
"Consumption and Equilibrium Asset Pricing: an Empirical Assessment,"
Cahiers de recherche
9126, Universite de Montreal, Departement de sciences economiques.
- Bonomo, Marco & Garcia, Rene, 1996. "Consumption and equilibrium asset pricing: An empirical assessment," Journal of Empirical Finance, Elsevier, vol. 3(3), pages 239-265, September.
- Marco antonio Bonomo & Rene Garcia, 1992. "Consumption and equilibrium asset pricing: An empirical assessment," Textos para discussÃ£o 284, Department of Economics PUC-Rio (Brazil).
- Bonomo, M. & Garcia, R., 1991. "Consumption and Equilibrium Asset Pricing: an Empirical Assessment," Cahiers de recherche 9126, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- V. I. Yukalov, 2001. "Self-similar approach to market analysis," Papers cond-mat/0110285, arXiv.org.
- Andersen, J.V. & Sornette, D., 2004. "Fearless versus fearful speculative financial bubbles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 565-585.
- Boyer, Robert & Orlean, Andre, 1992. "How Do Conventions Evolve?," Journal of Evolutionary Economics, Springer, vol. 2(3), pages 165-77, October.
- Broekstra, Gerrit & Sornette, Didier & Zhou, Wei-Xing, 2005. "Bubble, critical zone and the crash of Royal Ahold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 529-560.
- D. Sornette & A. Johansen, 2001. "Significance of log-periodic precursors to financial crashes," Quantitative Finance, Taylor & Francis Journals, vol. 1(4), pages 452-471.
- D. Sornette & J. V. Andersen, 2001. "A Nonlinear Super-Exponential Rational Model of Speculative Financial Bubbles," Papers cond-mat/0104341, arXiv.org, revised Apr 2002.
- D. Sornette, 2000. "Stock Market Speculation: Spontaneous Symmetry Breaking of Economic Valuation," Papers cond-mat/0004001, arXiv.org.
- He, Hua & Leland, Hayne, 1993. "On Equilibrium Asset Price Processes," Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 593-617.
- Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Clark, 1991.
"The Equity Premium and the Risk Free Rate: Matching the Moments,"
NBER Working Papers
3752, National Bureau of Economic Research, Inc.
- Cecchetti, Stephen G. & Lam, Pok-sang & Mark, Nelson C., 1993. "The equity premium and the risk-free rate : Matching the moments," Journal of Monetary Economics, Elsevier, vol. 31(1), pages 21-45, February.
- S.G. Cecchetti & P. Lam & N.C. Mark, 2010. "The equity premium and the risk-free rate: matching the moments," Levine's Working Paper Archive 1396, David K. Levine.
- Marco Antonio Bonomo & Rene Garcia, 1993.
"Disappointment aversion as a solution to the equity premium and the risk-free rate puzzles,"
Textos para discussÃ£o
308, Department of Economics PUC-Rio (Brazil).
- Marco Bonomo & René Garcia, 1994. "Disappointment Aversion as a Solution to the Equity Premium and the Risk-Free Rate Puzzles," CIRANO Working Papers 94s-14, CIRANO.
- Garcia, R. & Bonomo, M., 1993. "Disappointment Aversion as a Solution to the Equity Premium and the Risk- Free Rate Puzzles," Cahiers de recherche 9334, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Jean-Philippe Bouchaud & Rama Cont, 1998. "A Langevin approach to stock market fluctuations and crashes," Science & Finance (CFM) working paper archive 500027, Science & Finance, Capital Fund Management.
- James D. Hamilton & Baldev Raj, 2002. "New directions in business cycle research and financial analysis," Empirical Economics, Springer, vol. 27(2), pages 149-162.
- Ide, Kayo & Sornette, Didier, 2002. "Oscillatory finite-time singularities in finance, population and rupture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 307(1), pages 63-106.
- S. Gluzman & V. I. Yukalov, 1998. "Booms and Crashes in Self-Similar Markets," Papers cond-mat/9810092, arXiv.org.
- Stephen G. Cecchetti & Pok-sang Lam & Nelson C. Mark, 1990.
"Mean Reversion in Equilibrium Asset Prices,"
NBER Working Papers
2762, National Bureau of Economic Research, Inc.
- Yukalov, V.I. & Yukalova, E.P., 1996. "Temporal dynamics in perturbation theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 225(3), pages 336-362.
- D. Sornette, 2003. "Critical Market Crashes," Papers cond-mat/0301543, arXiv.org.
- Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-84, March.
- D. Sornette & A. Johansen, 2001. "Significance of log-periodic precursors to financial crashes," Papers cond-mat/0106520, arXiv.org.
- Sornette, Didier, 2000. "Stock market speculation: Spontaneous symmetry breaking of economic valuation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 284(1), pages 355-375.
- Lucas, Robert Jr., 1972. "Expectations and the neutrality of money," Journal of Economic Theory, Elsevier, vol. 4(2), pages 103-124, April.
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