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Super-exponential endogenous bubbles in an equilibrium model of rational and noise traders

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  • T. Kaizoji
  • M. Leiss
  • A. Saichev
  • D. Sornette

Abstract

We introduce a model of super-exponential financial bubbles with two assets (risky and risk-free), in which rational investors and noise traders co-exist. Rational investors form expectations on the return and risk of a risky asset and maximize their constant relative risk aversion expected utility with respect to their allocation on the risky asset versus the risk-free asset. Noise traders are subjected to social imitation and follow momentum trading. Allowing for random time-varying herding propensity, we are able to reproduce several well-known stylized facts of financial markets such as a fat-tail distribution of returns and volatility clustering. In particular, we observe transient faster-than-exponential bubble growth with approximate log-periodic behavior and give analytical arguments why this follows from our framework. The model accounts well for the behavior of traders and for the price dynamics that developed during the dotcom bubble in 1995-2000. Momentum strategies are shown to be transiently profitable, supporting these strategies as enhancing herding behavior.

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File URL: http://arxiv.org/pdf/1109.4726
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Bibliographic Info

Paper provided by arXiv.org in its series Papers with number 1109.4726.

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Date of creation: Sep 2011
Date of revision: Mar 2014
Handle: RePEc:arx:papers:1109.4726

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  1. Kaizoji, Taisei (kaizoji@icu.ac.jp), 2010. "A Behavioral Model of Bubbles and Crashes," MPRA Paper 20352, University Library of Munich, Germany.
  2. Harrison Hong & Jose Scheinkman & Wei Xiong, 2005. "Asset Float and Speculative Bubbles," Levine's Bibliography 122247000000000861, UCLA Department of Economics.
  3. Milgrom, Paul & Stokey, Nancy, 1982. "Information, trade and common knowledge," Journal of Economic Theory, Elsevier, Elsevier, vol. 26(1), pages 17-27, February.
  4. Harras, Georges & Sornette, Didier, 2011. "How to grow a bubble: A model of myopic adapting agents," Journal of Economic Behavior & Organization, Elsevier, Elsevier, vol. 80(1), pages 137-152.
  5. Markus K. Brunnermeier & Stefan Nagel, 2004. "Hedge Funds and the Technology Bubble," Journal of Finance, American Finance Association, American Finance Association, vol. 59(5), pages 2013-2040, October.
  6. Anders Johansen & Didier Sornette, 2010. "Shocks, Crashes and Bubbles in Financial Markets," Brussels Economic Review, ULB -- Universite Libre de Bruxelles, vol. 53(2), pages 201-253.
  7. Harrison, J Michael & Kreps, David M, 1978. "Speculative Investor Behavior in a Stock Market with Heterogeneous Expectations," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 92(2), pages 323-36, May.
  8. 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, Elsevier, vol. 287(3), pages 493-506.
  9. 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.
  10. A. Corcos & J-P Eckmann & A. Malaspinas & Y. Malevergne & D. Sornette, 2002. "Imitation and contrarian behaviour: hyperbolic bubbles, crashes and chaos," Quantitative Finance, Taylor & Francis Journals, Taylor & Francis Journals, vol. 2(4), pages 264-281.
  11. Carl Chiarella & Roberto Dieci & Laura Gardini, 2001. "Speculative Behaviour and Complex Asset Price Dynamics," Research Paper Series, Quantitative Finance Research Centre, University of Technology, Sydney 49, Quantitative Finance Research Centre, University of Technology, Sydney.
  12. Markus K Brunnermeier, 2002. "Bubbles and Crashes," FMG Discussion Papers, Financial Markets Group dp401, Financial Markets Group.
  13. Aoki,Masanao & Yoshikawa,Hiroshi, 2007. "Reconstructing Macroeconomics," Cambridge Books, Cambridge University Press, Cambridge University Press, number 9780521831062.
  14. Robert Battalio & Paul Schultz, 2006. "Options and the Bubble," Journal of Finance, American Finance Association, American Finance Association, vol. 61(5), pages 2071-2102, October.
  15. L. Blume, 2010. "The Statistical Mechanics of Strategic Interaction," Levine's Working Paper Archive 488, David K. Levine.
  16. Jarrow, Robert A, 1980. " Heterogeneous Expectations, Restrictions on Short Sales, and Equilibrium Asset Prices," Journal of Finance, American Finance Association, American Finance Association, vol. 35(5), pages 1105-13, December.
  17. Chen, Joseph & Hong, Harrison & Stein, Jeremy C., 2002. "Breadth of ownership and stock returns," Journal of Financial Economics, Elsevier, Elsevier, vol. 66(2-3), pages 171-205.
  18. De Bondt, Werner F M & Thaler, Richard, 1985. " Does the Stock Market Overreact?," Journal of Finance, American Finance Association, American Finance Association, vol. 40(3), pages 793-805, July.
  19. Eli Ofek & Matthew Richardson, 2003. "DotCom Mania: The Rise and Fall of Internet Stock Prices," Journal of Finance, American Finance Association, American Finance Association, vol. 58(3), pages 1113-1138, 06.
  20. Miller, Edward M, 1977. "Risk, Uncertainty, and Divergence of Opinion," Journal of Finance, American Finance Association, American Finance Association, vol. 32(4), pages 1151-68, September.
  21. Abreu, Dilip & Brunnermeier, Markus K., 2002. "Synchronization risk and delayed arbitrage," Journal of Financial Economics, Elsevier, Elsevier, vol. 66(2-3), pages 341-360.
  22. Lawrence Blume, 1993. "The Statistical Mechanics of Best-Response Strategy Revision," Game Theory and Information, EconWPA 9307001, EconWPA, revised 26 Jan 1994.
  23. Kent Daniel & David Hirshleifer & Avanidhar Subrahmanyam, 1998. "Investor Psychology and Security Market Under- and Overreactions," Journal of Finance, American Finance Association, American Finance Association, vol. 53(6), pages 1839-1885, December.
  24. Lux, T. & M. Marchesi, . "Scaling and Criticality in a Stochastic Multi-Agent Model of a Financial Market," Discussion Paper Serie B 438, University of Bonn, Germany, revised Jul 1998.
  25. Refet S. Gürkaynak, 2008. "Econometric Tests Of Asset Price Bubbles: Taking Stock ," Journal of Economic Surveys, Wiley Blackwell, Wiley Blackwell, vol. 22(1), pages 166-186, 02.
  26. Kirman, Alan, 1993. "Ants, Rationality, and Recruitment," The Quarterly Journal of Economics, MIT Press, MIT Press, vol. 108(1), pages 137-56, February.
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