New models of trader beliefs and their application for explaining financial bubbles
One challenging and exigent problem in behavior finance is how to establish verifiable models describing the appearance and burst of price bubbles. Current results are enhanced in this paper through a series of improvement as follows: new models are proposed for describing the return and dividend processes, especially the trader's behavior with the adaptive expectation belief and the bounded rational expectation belief, respectively; with these models, we establish dynamical systems in terms of the price-to-earnings ratio and the forecast-to-earnings ratio; the detailed solution and asymptotic analysis of these equations provide new, elaborate and quantitative explanations for both the formation and disappearance of different price bubbles; inspired by the herd behavior framework, a new random belief evolutionary mechanism is devised to model the belief change between two beliefs; a specific genetic algorithm is designed to efficiently estimate model parameters; simulation and empirical studies are carried out to illustrate the application of new methods. Both theoretical and empirical results sufficiently show the reasonability, practicality, efficiency and robustness of our new models and methods for properly explaining the appearance and burst of different kinds of price bubbles.
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- Campbell, John & Shiller, Robert, 1988.
"Stock Prices, Earnings, and Expected Dividends,"
3224293, Harvard University Department of Economics.
- John Y. Campbell & Robert J. Shiller, 1988. "Stock Prices, Earnings and Expected Dividends," Cowles Foundation Discussion Papers 858, Cowles Foundation for Research in Economics, Yale University.
- John Y. Campbell & Robert J. Shiller, 1988. "Stock Prices, Earnings and Expected Dividends," NBER Working Papers 2511, National Bureau of Economic Research, Inc.
- Campbell, J.Y. & Shiller, R.J., 1988. "Stock Prices, Earnings And Expected Dividends," Papers 334, Princeton, Department of Economics - Econometric Research Program.
- Taylor, Mark P. & Allen, Helen, 1992. "The use of technical analysis in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 11(3), pages 304-314, June.
- Parnaudeau, Miia, 2008. "European Business Fluctuations in the Austrian Framework," MPRA Paper 25046, University Library of Munich, Germany.
- Kirman, Alan & Teyssiere, Gilles, 2005. "Testing for bubbles and change-points," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 765-799, April.
- William A. Brock & Cars H. Hommes, 1997.
"A Rational Route to Randomness,"
Econometric Society, vol. 65(5), pages 1059-1096, September.
- Gaunersdorfer, Andrea & Hommes, Cars H. & Wagener, Florian O.O., 2008.
"Bifurcation routes to volatility clustering under evolutionary learning,"
Journal of Economic Behavior & Organization,
Elsevier, vol. 67(1), pages 27-47, July.
- Gaunersdorfer, A. & Hommes, C.H. & Wagener, F.O.O., 2003. "Bifurcation Routes to Volatility Clustering under Evolutionary Learning," CeNDEF Working Papers 03-03, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
- Gilli, M. & Winker, P., 2003. "A global optimization heuristic for estimating agent based models," Computational Statistics & Data Analysis, Elsevier, vol. 42(3), pages 299-312, March.
- Watanabe, Kota & Takayasu, Hideki & Takayasu, Misako, 2007. "Extracting the exponential behaviors in the market data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 336-339.
- Chow, Gregory C, 1989.
"Rational versus Adaptive Expectations in Present Value Models,"
The Review of Economics and Statistics,
MIT Press, vol. 71(3), pages 376-84, August.
- Chow, G.C., 1988. "Rational Versus Adaptive Expectations In Present Value Models," Papers 328, Princeton, Department of Economics - Econometric Research Program.
- 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.
- Hommes, Cars & Sonnemans, Joep & Tuinstra, Jan & van de Velden, Henk, 2008. "Expectations and bubbles in asset pricing experiments," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 116-133, July.
- Domenico Depalo, 2006. "Japan: The Case For A Taylor Rule? A Simple Approach," Pacific Economic Review, Wiley Blackwell, vol. 11(4), pages 327-546, December.
- Caginalp, G. & Ilieva, V., 2008. "The dynamics of trader motivations in asset bubbles," Journal of Economic Behavior & Organization, Elsevier, vol. 66(3-4), pages 641-656, June.
- Eugene F. Fama & Kenneth R. French, 2002.
"The Equity Premium,"
Journal of Finance,
American Finance Association, vol. 57(2), pages 637-659, 04.
- Robert J. Shiller, 2003.
"From Efficient Markets Theory to Behavioral Finance,"
Journal of Economic Perspectives,
American Economic Association, vol. 17(1), pages 83-104, Winter.
- Robert J. Shiller, 2002. "From Efficient Market Theory to Behavioral Finance," Cowles Foundation Discussion Papers 1385, Cowles Foundation for Research in Economics, Yale University.
- Richmond, Peter, 2007. "A roof over your head; house price peaks in the UK and Ireland," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(1), pages 281-287.
- D. Sornette, 2003. "Critical Market Crashes," Papers cond-mat/0301543, arXiv.org.
- 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.
- Sornette, Didier & Johansen, Anders, 1997. "Large financial crashes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 411-422.
- Scharfstein, David. & Stein, Jeremy C., 1988.
"Herd behavior and investment,"
WP 2062-88., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Krawiecki, A. & Hołyst, J.A., 2003. "Stochastic resonance as a model for financial market crashes and bubbles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 317(3), pages 597-608.
- Beladi, Hamid & Choudhary, Munir A S & Parai, Amar K, 1993. "Rational and Adaptive Expectations in the Present Value Model of Hyperinflation," The Review of Economics and Statistics, MIT Press, vol. 75(3), pages 511-14, August.
- 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.
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