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Asset Pricing with Heterogeneous Investors and Portfolio Constraints

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  • Georgy Chabakauri

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    Abstract

    We study dynamic general equilibrium in one-tree and two-trees Lucas economies with one consumption good and two CRRA investors with heterogeneous risk aversions and portfolio constraints. We provide a tractable characterization of equilibrium without relying on the assumption of logarithmic constrained investors, popular in the literature, under which wealthconsumption ratios of these investors are unaffected by constraints. In one-tree economy we focus on the impact of limited stock market participation and margin constraints on market prices of risk, interest rates, stock return volatilities and price-dividend ratios. We demonstrate conditions under which constraints increase or decrease these equilibrium processes, and generate dynamic patterns consistent with empirical findings. In a two-trees economy we demonstrate that investor heterogeneity gives rise to large countercyclical excess stock return correlations, but margin constraints significantly reduce them by restricting the leverage in the economy, and give rise to rich saddle-type patterns. We also derive a new closed-form consumption CAPM that captures the impact of constraints on stock risk premia.

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    File URL: http://www2.lse.ac.uk/fmg/workingPapers/discussionPapers/fmgdps/dp707-PWC30.pdf
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    Bibliographic Info

    Paper provided by Financial Markets Group in its series FMG Discussion Papers with number dp707.

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    Date of creation: Jul 2012
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    Handle: RePEc:fmg:fmgdps:dp707

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    Web page: http://www2.lse.ac.uk/fmg/

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    1. Daniele Coen-Pirani, 2000. "Margin Requirements and Equilibrium Asset Prices," GSIA Working Papers 2001-E5, Carnegie Mellon University, Tepper School of Business.
    2. Harold L. Cole & Hanno & YiLi Chien, 2007. "Macro Implications of Household Finance," 2007 Meeting Papers 479, Society for Economic Dynamics.
    3. Hugonnier, Julien, 2012. "Rational asset pricing bubbles and portfolio constraints," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2260-2302.
    4. Ian Martin, 2011. "The Lucas Orchard," NBER Working Papers 17563, National Bureau of Economic Research, Inc.
    5. Jérôme B. Detemple & René Garcia & Marcel Rindisbacher, 2000. "A Monte-Carlo Method for Optimal Portfolios," CIRANO Working Papers 2000s-05, CIRANO.
    6. Hardouvelis, Gikas A & Pericli, Andreas & Theodossiou, Panayiotis, 1997. "The Asymmetric Relation Between Margin Requirements and Stock Market Volatility Across Bull and Bear Markets," CEPR Discussion Papers 1746, C.E.P.R. Discussion Papers.
    7. Jaksa CVITANIC & Semyon MALAMUD, 2010. "Price Impact and Portfolio Impact," Swiss Finance Institute Research Paper Series 10-26, Swiss Finance Institute.
    8. Joost Driessen & Pascal J. Maenhout & Grigory Vilkov, 2009. "The Price of Correlation Risk: Evidence from Equity Options," Journal of Finance, American Finance Association, vol. 64(3), pages 1377-1406, 06.
    9. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x.
    10. Michael Gallmeyer & Burton Hollifield, 2008. "An Examination of Heterogeneous Beliefs with a Short-Sale Constraint in a Dynamic Economy," Review of Finance, European Finance Association, vol. 12(2), pages 323-364.
    11. Andrea Buraschi & Paolo Porchia & Fabio Trojani, 2010. "Correlation Risk and Optimal Portfolio Choice," Journal of Finance, American Finance Association, vol. 65(1), pages 393-420, 02.
    12. Jérˆme Detemple & Marcel Rindisbacher, 2005. "Closed-Form Solutions For Optimal Portfolio Selection With Stochastic Interest Rate And Investment Constraints," Mathematical Finance, Wiley Blackwell, vol. 15(4), pages 539-568.
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