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Ambiguity and the historical equity premium

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Author Info

  • Fabrice Collard

    ()
    (Department of Economics - University of Bern)

  • Sujoy Mukerji

    ()
    (Department of Economics and University College - University of Oxford)

  • Kevin Sheppard

    ()
    (Department of Economics and Oxford-Man Institute of Quantitative Finance - University of Oxford)

  • Jean-Marc Tallon

    ()
    (Centre d'Economie de la Sorbonne - Paris School of Economics)

Abstract

This paper assesses the quantitative impact of ambiguity on the historically observed equity premium. We consider a Lucas-tree pure-exchange economy with a single agent where we introduce two key non-standard assumptions. First, the agent's beliefs about the dividend/consumption process is ambiguous. Second, the agent's preferences are sensitive to this ambiguity. We further extend the model to allow for uncertainty about the magnitude of the persistence of the latent state. The agent's beliefs are ambiguous due to the uncertainty about the conditional mean of the probability distribution on consumption and dividends in the next period. This results in an endogenously volatile and (counter-) cyclical equity premium. We calibrate the level of ambiguity aversion to match only the first moment of the risk-free rate in data, and ambiguity to match the uncertainty conditional on the historical growth path, and evaluate the model using moderate levels of risk aversion. We find that this simple modification of Lucas-tree model accounts for a large part of the historical equity premium, both in terms of its level and variation over time.

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Bibliographic Info

Paper provided by Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne in its series Documents de travail du Centre d'Economie de la Sorbonne with number 11032.

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Length: 57 pages
Date of creation: May 2011
Date of revision:
Handle: RePEc:mse:cesdoc:11032

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Keywords: Equity premium; ambiguity.;

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References

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  1. Ambiguity and the historical equity premium
    by Christian Zimmermann in NEP-DGE blog on 2011-06-01 14:15:29
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