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Learning from experience in the stock market

  • Anton Nakov

We study the dynamics of a Lucas-tree model with finitely lived individuals who "learn from experience." Individuals update expectations by Bayesian learning based on observations from their own lifetimes. In this model, the stock price exhibits stochastic fluctuations around the rational expectations equilibrium. This heterogeneous-agents economy can be approximated by a representative-agent model with constant-gain learning, where the gain parameter is related to the survival rate.

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Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series Finance and Economics Discussion Series with number 2012-41.

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Date of creation: 2012
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Handle: RePEc:fip:fedgfe:2012-41
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  1. Timothy Cogley & Thomas J. Sargent & Viktor Tsyrennikov, 2012. "Market Prices of Risk with Diverse Beliefs, Learning, and Catastrophes," American Economic Review, American Economic Association, vol. 102(3), pages 141-46, May.
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  7. Bill Branch & George W. Evans, 2003. "Intrinsic Heterogeneity in Expectation Formation," University of Oregon Economics Department Working Papers 2003-32, University of Oregon Economics Department, revised 04 Oct 2004.
  8. Stefano Eusepi & Bruce Preston, 2011. "Expectations, Learning, and Business Cycle Fluctuations," American Economic Review, American Economic Association, vol. 101(6), pages 2844-72, October.
  9. Carceles-Poveda, Eva & Giannitsarou, Chryssi, 2006. "Adaptive Learning in Practice," CEPR Discussion Papers 5627, C.E.P.R. Discussion Papers.
  10. Ulrike Malmendier & Stefan Nagel, 2011. "Depression Babies: Do Macroeconomic Experiences Affect Risk Taking?," The Quarterly Journal of Economics, Oxford University Press, vol. 126(1), pages 373-416.
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  13. Albert Marcet & Klaus Adam & Juan Pablo Nicolini, 2008. "Stock Market Volatility and Learning," UFAE and IAE Working Papers 732.08, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
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  17. Vives, Xavier, 1993. "How Fast Do Rational Agents Learn?," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 329-47, April.
  18. Fabio Milani, 2005. "Expectations, Learning and Macroeconomic Persistence," Macroeconomics 0510022, EconWPA.
  19. Marcet, Albert & Sargent, Thomas J., 1989. "Convergence of least squares learning mechanisms in self-referential linear stochastic models," Journal of Economic Theory, Elsevier, vol. 48(2), pages 337-368, August.
  20. A. A. Brown & L. C. G. Rogers, 2009. "Heterogeneous Beliefs with Finite-Lived Agents," Papers 0907.4953, arXiv.org.
  21. Cogley, Timothy & Sargent, Thomas J., 2008. "The market price of risk and the equity premium: A legacy of the Great Depression?," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 454-476, April.
  22. Adam, Klaus & Marcet, Albert, 2011. "Internal rationality, imperfect market knowledge and asset prices," Journal of Economic Theory, Elsevier, vol. 146(3), pages 1224-1252, May.
  23. Liam Graham, 2011. "Learning, information and heterogeneity," CDMA Working Paper Series 201113, Centre for Dynamic Macroeconomic Analysis.
  24. Ferrero, Giuseppe, 2007. "Monetary policy, learning and the speed of convergence," Journal of Economic Dynamics and Control, Elsevier, vol. 31(9), pages 3006-3041, September.
  25. Branch William & McGough Bruce, 2004. "Multiple Equilibria in Heterogeneous Expectations Models," The B.E. Journal of Macroeconomics, De Gruyter, vol. 4(1), pages 1-16, December.
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