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Dynamic Equilibrium with Liquidity Constraints

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  • Jérôme Detemple
  • Angel Serrat

Abstract

This article studies an intertemporal economy with liquidity constrained and unconstrained individuals. We use a stopping time approach to solve the finite horizonconstrained consumption portfolio problem with constant relative risk aversion and to examine the structure of equilibrium. The impact of the constraint on the optimal consumption and the financing portfolio is assessed. The equilibrium state price density is related to the exercise boundary of an American-style contingent claim with nonlinear payoff. This stopping time characterization enables us to prove the existence of an equilibrium and can be implemented numerically. Properties of equilibrium bond and stock returns are examined. Copyright 2003, Oxford University Press.

Suggested Citation

  • Jérôme Detemple & Angel Serrat, 2003. "Dynamic Equilibrium with Liquidity Constraints," Review of Financial Studies, Society for Financial Studies, vol. 16(2), pages 597-629.
  • Handle: RePEc:oup:rfinst:v:16:y:2003:i:2:p:597-629
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    File URL: http://hdl.handle.net/10.1093/rfs/hhg003
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    Cited by:

    1. Basak, Suleyman & Pavlova, Anna, 2002. "A Dynamic Model with Import Quota Constraints," CEPR Discussion Papers 3414, C.E.P.R. Discussion Papers.
    2. Anna Pavlova & Roberto Rigobon, 2008. "The Role of Portfolio Constraints in the International Propagation of Shocks," Review of Economic Studies, Oxford University Press, vol. 75(4), pages 1215-1256.
    3. Zhang, Yuzhe, 2013. "Characterization of a risk sharing contract with one-sided commitment," Journal of Economic Dynamics and Control, Elsevier, vol. 37(4), pages 794-809.
    4. Wang, Ting & Young, Virginia R., 2012. "Maximizing the utility of consumption with commutable life annuities," Insurance: Mathematics and Economics, Elsevier, vol. 51(2), pages 352-369.
    5. Amira, Khaled & Bennour, Khaled, 2010. "Borrowing Constraint and the Effect of Option Introduction," MPRA Paper 26440, University Library of Munich, Germany.
    6. Paul Willen & Felix Kubler, 2006. "Collateralized Borrowing and Life-Cycle Portfolio Choice," NBER Working Papers 12309, National Bureau of Economic Research, Inc.
    7. Carosi, Laura & Gori, Michele & Villanacci, Antonio, 2009. "Endogenous restricted participation in general financial equilibrium," Journal of Mathematical Economics, Elsevier, vol. 45(12), pages 787-806, December.
    8. Basak, Suleyman, 2005. "Asset pricing with heterogeneous beliefs," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2849-2881, November.
    9. Bodie, Zvi & Detemple, Jerome B. & Otruba, Susanne & Walter, Stephan, 2004. "Optimal consumption-portfolio choices and retirement planning," Journal of Economic Dynamics and Control, Elsevier, vol. 28(6), pages 1115-1148, March.
    10. Piazzesi, M. & Schneider, M., 2016. "Housing and Macroeconomics," Handbook of Macroeconomics, Elsevier.
    11. 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.
    12. Paul Ehling, 2004. "Consumption, Portfolio Policies and Dynamic Equilibrium in the Presence of Preference for Ownership," Econometric Society 2004 North American Winter Meetings 311, Econometric Society.
    13. Basak, Suleyman & Cass, David & Licari, Juan Manuel & Pavlova, Anna, 2008. "Multiplicity in general financial equilibrium with portfolio constraints," Journal of Economic Theory, Elsevier, vol. 142(1), pages 100-127, September.
    14. Berrada, Tony & Hugonnier, Julien & Rindisbacher, Marcel, 2007. "Heterogeneous preferences and equilibrium trading volume," Journal of Financial Economics, Elsevier, vol. 83(3), pages 719-750, March.
    15. Pavlova, Anna & Rigobon, Roberto, 2010. "An asset-pricing view of external adjustment," Journal of International Economics, Elsevier, vol. 80(1), pages 144-156, January.
    16. Suleyman Basak & David Cass & Juan Manuel Licari & Anna Pavlova, 2006. "Multiplicity in General Financial Equilibrium with Portfolio Constraints, Second Version," PIER Working Paper Archive 06-020, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 17 Jul 2006.
    17. Pavlova, Anna & Rigobon, Roberto, 2005. "Wealth Transfers, Contagion and Portfolio Constraints," CEPR Discussion Papers 5117, C.E.P.R. Discussion Papers.
    18. Hugonnier, Julien & Prieto, Rodolfo, 2015. "Asset pricing with arbitrage activity," Journal of Financial Economics, Elsevier, vol. 115(2), pages 411-428.
    19. Zvi Bodie & Jérôme Detemple & Marcel Rindisbacher, 2009. "Life-Cycle Finance and the Design of Pension Plans," Annual Review of Financial Economics, Annual Reviews, vol. 1(1), pages 249-286, November.
    20. Basak, Suleyman, 2004. "Asset Prices with Heterogenous Beliefs," CEPR Discussion Papers 4256, C.E.P.R. Discussion Papers.
    21. Suleyman Basak & David Cass & Juan Manuel Licari & Anna Pavlova, 2006. "Multiplicity and Sunspots in General Financial Equilibrium with Portfolio Constraints," PIER Working Paper Archive 06-012, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.

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