A Behavioral Model of Bubbles and Crashes
AbstractThe aim of this paper is to provide one potential theoretical explanation for questions how asset bubbles come about, why it persists, and what caused it to burst. We propose a new model of bubbles and crashes. We divide the risky assets into two classes, the bubble asset and the non-bubble asset, and the risk-free asset. Investors are divided into two groups, the rational investors and the noise traders. The rational investors maximize their expected utility of their wealth in the next period. Noise traders maximize their random utility of binary choice: holding the bubble asset and holding the risk-free asst. We demonstrate that noise-traders’ herd behavior, which follows the behavior getting a majority, occurs when the number of noise-traders increases, and their herd behavior gives cause to a bubble, and their momentum trading prolongs bubble. However, rising stock price slows down as the noise-trader’s behavior approaches to a stationary state, so that the price momentum begins to decrease in the second half of bubble. We demonstrate that decreasing the price momentum lead to market crash.
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Bibliographic InfoPaper provided by University Library of Munich, Germany in its series MPRA Paper with number 20352.
Date of creation: 10 Jan 2010
Date of revision:
Bubble; chrash; noise traders; rational investors;
Other versions of this item:
- G01 - Financial Economics - - General - - - Financial Crises
This paper has been announced in the following NEP Reports:
- NEP-ALL-2010-02-13 (All new papers)
- NEP-FMK-2010-02-13 (Financial Markets)
- NEP-MST-2010-02-13 (Market Microstructure)
- NEP-UPT-2010-02-13 (Utility Models & Prospect Theory)
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- Franklin Allen & Stephen Morris & Hyun Song Shin, 2006. "Beauty Contests and Iterated Expectations in Asset Markets," Review of Financial Studies, Society for Financial Studies, vol. 19(3), pages 719-752.
- George-Marios Angeletos & Guido Lorenzoni & Alessandro Pavan, 2010.
"Beauty Contests and Irrational Exuberance: A Neoclassical Approach,"
Levine's Working Paper Archive
661465000000000237, David K. Levine.
- George-Marios Angeletos & Guido Lorenzoni & Alessandro Pavan, 2010. "Beauty Contests and "Irrational Exuberance": A Neoclassical Approach," Discussion Papers 1502, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- George-Marios Angeletos & Guido Lorenzoni & Alessandro Pavan, 2010. "Beauty Contests and Irrational Exuberance: A Neoclassical Approach," NBER Working Papers 15883, National Bureau of Economic Research, Inc.
- Brock, William A & Durlauf, Steven N, 2001.
"Discrete Choice with Social Interactions,"
Review of Economic Studies,
Wiley Blackwell, vol. 68(2), pages 235-60, April.
- Harrison Hong & José Scheinkman & Wei Xiong, 2006.
"Asset Float and Speculative Bubbles,"
Journal of Finance,
American Finance Association, vol. 61(3), pages 1073-1117, 06.
- Harrison Hong & Jose Scheinkman & Wei Xiong, 2005. "Asset Float and Speculative Bubbles," Levine's Bibliography 122247000000000861, UCLA Department of Economics.
- Harrison Hong & Jose Scheinkman & Wei Xiong, 2005. "Asset Float and Speculative Bubbles," NBER Working Papers 11367, National Bureau of Economic Research, Inc.
- Brock, W.A., 1995.
"A Rational Route to Randomness,"
9530, Wisconsin Madison - Social Systems.
- Jegadeesh, Narasimhan & Titman, Sheridan, 1993. " Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
- Charles M. C. Lee & James Myers & Bhaskaran Swaminathan, 1999. "What is the Intrinsic Value of the Dow?," Journal of Finance, American Finance Association, vol. 54(5), pages 1693-1741, October.
- De Bondt, Werner F M & Thaler, Richard, 1985. " Does the Stock Market Overreact?," Journal of Finance, American Finance Association, vol. 40(3), pages 793-805, July.
- Chen, Joseph & Hong, Harrison & Stein, Jeremy C., 2002.
"Breadth of ownership and stock returns,"
Journal of Financial Economics,
Elsevier, vol. 66(2-3), pages 171-205.
- De Long, J. Bradford & Shleifer, Andrei & Summers, Lawrence H. & Waldmann, Robert J., 1990.
"Noise Trader Risk in Financial Markets,"
3725552, Harvard University Department of Economics.
- Brock, W.A. & Durlauf, S.N., 1997.
"A Formal Model of Theory Vhoice in Science,"
9707, Wisconsin Madison - Social Systems.
- Eli Ofek & Matthew Richardson, 2003. "DotCom Mania: The Rise and Fall of Internet Stock Prices," Journal of Finance, American Finance Association, vol. 58(3), pages 1113-1138, 06.
- Lintner, John, 1969. "The Aggregation of Investor's Diverse Judgments and Preferences in Purely Competitive Security Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 4(04), pages 347-400, December.
- Ernan Haruvy & Yaron Lahav & Charles N. Noussair, 2007. "Traders' Expectations in Asset Markets: Experimental Evidence," American Economic Review, American Economic Association, vol. 97(5), pages 1901-1920, December.
- Dilip Abreu & Markus K. Brunnermeier, 2003.
"Bubbles and Crashes,"
Econometric Society, vol. 71(1), pages 173-204, January.
- Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, vol. 32(4), pages 1151-68, September.
- Smith, Vernon L & Suchanek, Gerry L & Williams, Arlington W, 1988. "Bubbles, Crashes, and Endogenous Expectations in Experimental Spot Asset Markets," Econometrica, Econometric Society, vol. 56(5), pages 1119-51, September.
- Robin Greenwood & Stefan Nagel, 2008.
"Inexperienced Investors and Bubbles,"
NBER Working Papers
14111, National Bureau of Economic Research, Inc.
- Kaizoji, Taisei, 2000.
"Speculative bubbles and crashes in stock markets: an interacting-agent model of speculative activity,"
Physica A: Statistical Mechanics and its Applications,
Elsevier, vol. 287(3), pages 493-506.
- Taisei Kaizoji, 2000. "Speculative bubbles and crashes in stock market: an interacting-agent model of speculative activity," Papers cond-mat/0010263, arXiv.org.
- Brennan, Michael J, 2004. "How Did It Happen?," University of California at Los Angeles, Anderson Graduate School of Management qt1047x6kv, Anderson Graduate School of Management, UCLA.
- Biais, Bruno & Bossaerts, Peter, 1998. "Asset Prices and Trading Volume in a Beauty Contest," Review of Economic Studies, Wiley Blackwell, vol. 65(2), pages 307-40, April.
- J. Bradford De Long & Andrei Shleifer & Lawrence H. Summers & Robert J. Waldmann, 1989.
"Positive Feedback Investment Strategies and Destabilizing Rational Speculation,"
NBER Working Papers
2880, National Bureau of Economic Research, Inc.
- De Long, J Bradford, et al, 1990. " Positive Feedback Investment Strategies and Destabilizing Rational Speculation," Journal of Finance, American Finance Association, vol. 45(2), pages 379-95, June.
- 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.
- Michael J. Brennan, 2004. "How Did It Happen?," Economic Notes, Banca Monte dei Paschi di Siena SpA, vol. 33(1), pages 3-22, 02.
- Markus K. Brunnermeier & Stefan Nagel, 2004. "Hedge Funds and the Technology Bubble," Journal of Finance, American Finance Association, vol. 59(5), pages 2013-2040, October.
- Harrison, J Michael & Kreps, David M, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, MIT Press, vol. 92(2), pages 323-36, May.
- Kaizoji, Taisei, 2010. "Carry Trade, Forward Premium Puzzle and Currency Crisis," MPRA Paper 21432, University Library of Munich, Germany.
- T. Kaizoji & M. Leiss & A. Saichev & D. Sornette, 2011. "Super-exponential endogenous bubbles in an equilibrium model of rational and noise traders," Papers 1109.4726, arXiv.org, revised Mar 2014.
- Andreas H\"usler & Didier Sornette & Cars H. Hommes, 2012. "Super-exponential bubbles in lab experiments: evidence for anchoring over-optimistic expectations on price," Papers 1205.0635, arXiv.org.
- Hüsler, A. & Sornette, D. & Hommes, C.H., 2013. "Super-exponential bubbles in lab experiments: Evidence for anchoring over-optimistic expectations on price," Journal of Economic Behavior & Organization, Elsevier, vol. 92(C), pages 304-316.
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