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Asset Pricing when Risk Sharing is Limited by Default

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Author Info
Fernando Alvarez
Urban J. Jermann

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Abstract

We study the asset pricing implications of a multi-agent endowment economy where agents can default on contracts that would leave them otherwise worse off. We specialize and extend the environment studied by Kocherlakota (1995) and Kehoe and Levine (1993) to make it comparable to standard studies of asset pricing. We make contributions along two fronts. First, we extend the characterization of efficient allocations. Second, we present an equilibrium concept with complete markets and with endogenous solvency constraints. These solvency constraints are such as to prevent default at the cost of reduced risk sharing. We show a version of the classical welfare theorems for this equilibrium definition. We characterize the pricing kernel, and compare it to the one for economies without participation constraints: interest rates are lower and risk premia can be bigger depending on the covariance of the idiosyncratic and aggregate shocks. We show that those agents whose endowment is very similar to the aggregate endowment are irrelevant for asset pricing. In a quantitative example, for reasonable parameter values, the relevant marginal rates of substitution fall within the Hansen-Jagannathan bounds.

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Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 6476.

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Date of creation: Mar 1998
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Handle: RePEc:nbr:nberwo:6476

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Find related papers by JEL classification:
G12 - Financial Economics - - General Financial Markets - - - Asset Pricing
D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

References listed on IDEAS
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  2. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-40, April. [Downloadable!] (restricted)
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  3. David K. Levine & William Zame, 1996. "Debt Constraints and Equilibrium in Infinite Horizon Economies with Incomplete Markets," Levine's Working Paper Archive 1954, David K. Levine. [Downloadable!]
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  4. Patrick J. Kehoe & Fabrizio Perri, 2000. "International business cycles with endogenous incomplete markets," Staff Report 265, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  5. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Blackwell Publishing, vol. 60(4), pages 865-88, October. [Downloadable!] (restricted)
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  6. Alejandro Hernandez & Manuel Santos, 1994. "Competitive Equilibria for Infinite-Horizon Economies with Incomplete Markets," Working Papers 9407, Centro de Investigacion Economica, ITAM.
  7. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
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  8. Kjetil Storesletten & Chris Telmer & Amir Yaron, . "Persistent Idiosyncratic Shocks and Incomplete Markets," GSIA Working Papers 24, Carnegie Mellon University, Tepper School of Business. [Downloadable!]
  9. Heaton, John & Lucas, Deborah J, 1996. "Evaluating the Effects of Incomplete Markets on Risk Sharing and Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 443-87, June. [Downloadable!] (restricted)
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  10. Kocherlakota, Narayana R, 1996. "Implications of Efficient Risk Sharing without Commitment," Review of Economic Studies, Blackwell Publishing, vol. 63(4), pages 595-609, October. [Downloadable!] (restricted)
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  13. He, Hua & Modest, David M, 1995. "Market Frictions and Consumption-Based Asset Pricing," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 94-117, February. [Downloadable!] (restricted)
  14. Mankiw, N. Gregory, 1986. "The equity premium and the concentration of aggregate shocks," Journal of Financial Economics, Elsevier, vol. 17(1), pages 211-219, September. [Downloadable!] (restricted)
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  15. David K. Backus & Patrick J. Kehoe & Finn E. Kydland, 1991. "International real business cycles," Staff Report 146, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  16. Magill, M. & Quinzii, M., 1992. "Infinite Horizon Incomplete Markets," DELTA Working Papers 92-26, DELTA (Ecole normale supérieure).
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  17. John H. Cochrane & Lars Peter Hansen, 1993. "Asset Pricing Explorations for Macroeconomics," NBER Working Papers 4088, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
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  18. Huggett, Mark, 1993. "The risk-free rate in heterogeneous-agent incomplete-insurance economies," Journal of Economic Dynamics and Control, Elsevier, vol. 17(5-6), pages 953-969. [Downloadable!] (restricted)
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(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. Dirk Krueger & Fabrizio Perri, 1999. "Risk sharing: private insurance markets or redistributive taxes?," Staff Report 262, Federal Reserve Bank of Minneapolis. [Downloadable!]
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  2. Juha Ilmari Seppala, 2000. "The Term Structure of Real Interest Rates: Theory and Evidence from the U.K. Index-Linked Bonds," Econometric Society World Congress 2000 Contributed Papers 0245, Econometric Society. [Downloadable!]
  3. Alon Brav & George M. Constantinides & Christopher C. Geczy, 1999. "Asset Pricing with Heterogeneous Consumers and Limited Participation: Empirical Evidence," CRSP working papers 505, Center for Research in Security Prices, Graduate School of Business, University of Chicago. [Downloadable!]
    Other versions:
  4. Jérôme B. Detemple & Angel Serrat, 1998. "Dynamic Equilibrium with Liquidity Constraints," CIRANO Working Papers 98s-41, CIRANO. [Downloadable!]
  5. Fernando Alvarez & Urban J. Jermann, 1999. "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," NBER Working Papers 6953, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  6. Karsten Jeske, 2005. "Private international debt with risk of repudiation," Working Paper 2001-16, Federal Reserve Bank of Atlanta. [Downloadable!]
  7. Rajnish Mehra & Edward C. Prescott, 2003. "The Equity Premium in Retrospect," NBER Working Papers 9525, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  8. Lance Lochner & Alexander Monge-Naranjo, 2002. "Human Capital Formation with Endogenous Credit Constraints," NBER Working Papers 8815, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  9. Kjetil Storesletten & Chris Telmer & Amir Yaron, 1996. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Economics Working Papers 405, Department of Economics and Business, Universitat Pompeu Fabra, revised Jul 1999. [Downloadable!]
    Other versions:
  10. Narayana R. Kocherlakota, 2000. "Risky collateral and deposit insurance," Staff Report 274, Federal Reserve Bank of Minneapolis. [Downloadable!]
  11. Patrick J. Kehoe & Fabrizio Perri, 2000. "International Business Cycles with Endogenous Incomplete Markets," NBER Working Papers 7870, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
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