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Learning and Asset Prices Under Ambiguous Information

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Author Info
Markus Leippold
Fabio Trojani
Paolo Vanini

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Abstract

In a Lucas exchange economy with standard power utility, we study asset prices under learning and ambiguous information. In contrast with models featuring only learning or ambiguity, our model is successful in matching the equity premium, the interest rate, and the volatility of stock returns under empirically reasonable parameters. Our closed-form formulas also show that a severe downward bias arises in the empirical relation between stock returns and return volatility. We quantify this bias in simulations and show that our model can explain why such a relation is difficult to detect in the data. The Author 2007. Published by Oxford University Press on behalf of The Society for Financial Studies. All rights reserved. For Permissions, please email: journals.permissions@oxfordjournals.org., Oxford University Press.

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File URL: http://hdl.handle.net/10.1093/rfs/hhm035
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Publisher Info
Article provided by Oxford University Press for Society for Financial Studies in its journal The Review of Financial Studies.

Volume (Year): 21 (2008)
Issue (Month): 6 (November)
Pages: 2565-2597
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Handle: RePEc:oup:rfinst:v:21:y:2008:i:6:p:2565-2597

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
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  3. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-57, April. [Downloadable!] (restricted)
    Other versions:
  4. Larry Epstein & Martin Schneider, 2006. "Learning Under Ambiguity," RCER Working Papers 527, University of Rochester - Center for Economic Research (RCER). [Downloadable!]
    Other versions:
  5. Trojani, Fabio & Vanini, Paolo, 2002. "A note on robustness in Merton's model of intertemporal consumption and portfolio choice," Journal of Economic Dynamics and Control, Elsevier, vol. 26(3), pages 423-435, March. [Downloadable!] (restricted)
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  8. Orazio P. Attanasio & James Banks & Sarah Tanner, 2002. "Asset Holding and Consumption Volatility," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 771-792, August. [Downloadable!] (restricted)
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  9. Hansen, Lars Peter & Sargent, Thomas J & Tallarini, Thomas D, Jr, 1999. "Robust Permanent Income and Pricing," Review of Economic Studies, Blackwell Publishing, vol. 66(4), pages 873-907, October. [Downloadable!] (restricted)
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  10. Ravi Bansal & Amir Yaron, 2004. "Risks for the Long Run: A Potential Resolution of Asset Pricing Puzzles," Journal of Finance, American Finance Association, vol. 59(4), pages 1481-1509, 08. [Downloadable!] (restricted)
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  11. Yacine Ait-Sahalia & Jonathan A. Parker & Motohiro Yogo, 2001. "Luxury Goods and the Equity Premium," NBER Working Papers 8417, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  12. Gagliardini, Patrick & Trojani, Fabio & Urga, Giovanni, 2005. "Robust GMM tests for structural breaks," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 139-182. [Downloadable!] (restricted)
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  14. Ortelli, Claudio & Trojani, Fabio, 2005. "Robust efficient method of moments," Journal of Econometrics, Elsevier, vol. 128(1), pages 69-97, September. [Downloadable!] (restricted)
  15. Sbuelz, A. & Trojani, F., 2002. "Equilibrium asset pricing with time-varying pessimism," Discussion Paper 102, Tilburg University, Center for Economic Research. [Downloadable!]
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  19. Loriano Mancini & Elvezio Ronchetti & Fabio Trojani, 2004. "Optimal Conditionally Unbiased Bounded-Influence Inference in Dynamic Location and Scale Models," Cahiers du Département d'Econométrie 2004.04, Département d'Econométrie, Université de Genève. [Downloadable!]
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  20. Ronchetti, Elvezio & Trojani, Fabio, 2001. "Robust inference with GMM estimators," Journal of Econometrics, Elsevier, vol. 101(1), pages 37-69, March. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Patrick Gagliardini & Paolo Porchia & Fabio Trojani, 2007. "Ambiguity Aversion and the Term Structure of Interest Rates," University of St. Gallen Department of Economics working paper series 2007 2007-29, Department of Economics, University of St. Gallen. [Downloadable!]
    Other versions:
  2. Ju, Nengjiu & Miao, Jianjun, 2009. "Ambiguity, Learning, and Asset Returns," MPRA Paper 14737, University Library of Munich, Germany, revised Apr 2009. [Downloadable!]
  3. Siddiqi, Hammad, 2009. "Ambiguity, Infra-Marginal Investors, and Market Prices," MPRA Paper 13514, University Library of Munich, Germany. [Downloadable!]
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