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Properties of equilibrium asset prices under alternative learning schemes

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  • Guidolin, Massimo
  • Timmermann, Allan

Abstract

This paper characterizes equilibrium asset prices under adaptive, rational and Bayesian learning schemes in a model where dividends evolve on a binomial lattice. The properties of equilibrium stock and bond prices under learning are shown to differ significantly compared with prices under full information rational expectations. Learning causes the discount factor and risk-neutral probability measure to become path-dependent and introduces serial correlation and volatility clustering in stock returns. We also derive conditions under which the expected value and volatility of stock prices will be higher under learning than under full information. Finally, we derive restrictions on prior beliefs under which Bayesian and rational learning lead to identical prices and show how the results can be generalized to more complex settings where dividends follow either multi-state i.i.d. distributions or multi-state Markov chains.
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  • Guidolin, Massimo & Timmermann, Allan, 2007. "Properties of equilibrium asset prices under alternative learning schemes," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 161-217, January.
  • Handle: RePEc:eee:dyncon:v:31:y:2007:i:1:p:161-217
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    Cited by:

    1. Koulovatianos, Christos & Wieland, Volker, 2011. "Asset pricing under rational learning about rare disasters," IMFS Working Paper Series 46, Goethe University Frankfurt, Institute for Monetary and Financial Stability (IMFS).
    2. Christos Koulovatianos, "undated". "A Paradox of Environmental Awareness Campaigns," Discussion Papers 10/17, University of Nottingham, School of Economics.
    3. repec:eee:reveco:v:49:y:2017:i:c:p:223-242 is not listed on IDEAS
    4. Massimo Guidolin, 2006. "High equity premia and crash fears - Rational foundations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(3), pages 693-708, August.
    5. Milani, Fabio, 2017. "Learning about the interdependence between the macroeconomy and the stock market," International Review of Economics & Finance, Elsevier, vol. 49(C), pages 223-242.
    6. Lei Shi, 2010. "Portfolio Analysis and Equilibrium Asset Pricing with Heterogeneous Beliefs," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 9.
    7. repec:eee:dyncon:v:82:y:2017:i:c:p:312-330 is not listed on IDEAS
    8. Subrahmanyam, Avanidhar, 2008. "Learning from experience and trading volume," Review of Financial Economics, Elsevier, vol. 17(4), pages 245-260, December.
    9. Hommes, Cars & Zhu, Mei, 2014. "Behavioral learning equilibria," Journal of Economic Theory, Elsevier, vol. 150(C), pages 778-814.
    10. Guidolin, Massimo, 2006. "Pessimistic beliefs under rational learning: Quantitative implications for the equity premium puzzle," Journal of Economics and Business, Elsevier, vol. 58(2), pages 85-118.
    11. Geoffrey J. Warren, 2008. "Implications for Asset Pricing Puzzles of a Roll-over Assumption for the Risk-Free Asset-super-," International Review of Finance, International Review of Finance Ltd., vol. 8(3-4), pages 125-157.
    12. Timmermann, Allan, 2008. "Elusive return predictability," International Journal of Forecasting, Elsevier, vol. 24(1), pages 1-18.
    13. Bernales, Alejandro & Guidolin, Massimo, 2015. "Learning to smile: Can rational learning explain predictable dynamics in the implied volatility surface?," Journal of Financial Markets, Elsevier, vol. 26(C), pages 1-37.
    14. Bullard, James & Suda, Jacek, 2016. "The stability of macroeconomic systems with Bayesian learners," Journal of Economic Dynamics and Control, Elsevier, vol. 62(C), pages 1-16.
    15. Consiglio, Andrea & Russino, Annalisa, 2007. "How does learning affect market liquidity? A simulation analysis of a double-auction financial market with portfolio traders," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 1910-1937, June.
    16. Christos Koulovatianos, 2015. "Strategic Exploitation of a Common-Property Resource Under Rational Learning About its Reproduction," Dynamic Games and Applications, Springer, vol. 5(1), pages 94-119, March.
    17. Subrahmanyam, Avanidhar, 2009. "Optimal financial education," Review of Financial Economics, Elsevier, vol. 18(1), pages 1-9, January.

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