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Asset Pricing with Heterogeneous Investors and Portfolio Constraints

  • Georgy Chabakauri

    (London School of Economics)

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    We evaluate the impact of portfolio constraints on financial markets in a dynamic equilibrium pure exchange economy with one consumption good and two CRRA investors that may differ in risk aversions, beliefs regarding the dividend process and portfolio constraints. Despite numerous applications, portfolio constraints are notoriously difficult to incorporate into dynamic equilibrium analysis without the restrictive assumption of logarithmic preferences. We provide a tractable solution method that yields new insights on the asset pricing implications of portfolio constraints such as limited stock market participation, margin requirements and short sales prohibition without restricting risk aversion parameters. We demonstrate that in a setting where one investor is unconstrained while the other faces an upper bound constraint on the proportion of wealth that can be invested in stocks the model generates countercyclical market prices of risk and stock return volatilities, procyclical price-dividend ratios, excess volatility and other patterns consistent with empirical findings. In a setting with margin requirements we demonstrate that under plausible parameters tighter constraints decrease stock return volatilities during the times when the constraints are likely to bind.

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    File URL: https://economicdynamics.org/meetpapers/2012/paper_636.pdf
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    Paper provided by Society for Economic Dynamics in its series 2012 Meeting Papers with number 636.

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    Date of creation: 2012
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    Handle: RePEc:red:sed012:636
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    Society for Economic Dynamics Marina Azzimonti Department of Economics Stonybrook University 10 Nicolls Road Stonybrook NY 11790 USA

    Web page: http://www.EconomicDynamics.org/
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    1. Gomes, Francisco J & Michaelides, Alexander, 2007. "Asset Pricing with Limited Risk Sharing and Heterogeneous Agents," CEPR Discussion Papers 6136, C.E.P.R. Discussion Papers.
    2. Basak, Suleyman, 2000. "A model of dynamic equilibrium asset pricing with heterogeneous beliefs and extraneous risk," Journal of Economic Dynamics and Control, Elsevier, vol. 24(1), pages 63-95, January.
    3. Bernard Dumas & Alexander Kurshev & Raman Uppal, 2007. "Equilibrium Portfolio Strategies in the Presence of Sentiment Risk and Excess Volatility," NBER Working Papers 13401, National Bureau of Economic Research, Inc.
    4. Fatih Guvenen, 2009. "A Parsimonious Macroeconomic Model for Asset Pricing," NBER Working Papers 15243, National Bureau of Economic Research, Inc.
    5. Basak, Suleyman & Cuoco, Domenico, 1998. "An Equilibrium Model with Restricted Stock Market Participation," Review of Financial Studies, Society for Financial Studies, vol. 11(2), pages 309-41.
    6. Bernard Dumas & Pascal Maenhout, 2002. "A Central-Planning Approach to Dynamic Incomplete-Market Equilibrium," Levine's Working Paper Archive 391749000000000523, David K. Levine.
    7. Gikas A. Hardouvelis & Panayiotis Theodossiou, 2002. "The Asymmetric Relation Between Initial Margin Requirements and Stock Market Volatility Across Bull and Bear Markets," Review of Financial Studies, Society for Financial Studies, vol. 15(5), pages 1525-1560.
    8. Mele, Antonio, 2007. "Asymmetric stock market volatility and the cyclical behavior of expected returns," Journal of Financial Economics, Elsevier, vol. 86(2), pages 446-478, November.
    9. Julien Hugonnier, 2008. "Bubbles and multiplicity of equilibria under portfolio constraints," Swiss Finance Institute Research Paper Series 08-28, Swiss Finance Institute.
    10. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    11. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x.
    12. Epstein, Larry G & Zin, Stanley E, 1989. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: A Theoretical Framework," Econometrica, Econometric Society, vol. 57(4), pages 937-69, July.
    13. Zapatero, Fernando, 1998. "Effects of financial innovations on market volatility when beliefs are heterogeneous," Journal of Economic Dynamics and Control, Elsevier, vol. 22(4), pages 597-626, April.
    14. Yeung Lewis Chan & Leonid Kogan, 2002. "Catching Up with the Joneses: Heterogeneous Preferences and the Dynamics of Asset Prices," Journal of Political Economy, University of Chicago Press, vol. 110(6), pages 1255-1285, December.
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