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Asset Pricing When Risk Sharing is Limited by Default

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  • Fernando Alvarez
  • Urban J Jermann

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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  • Fernando Alvarez & Urban J Jermann, 2010. "Asset Pricing When Risk Sharing is Limited by Default," Levine's Working Paper Archive 1898, David K. Levine.
  • Handle: RePEc:cla:levarc:1898
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    References listed on IDEAS

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    1. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March.
    2. Constantinides, George M & Duffie, Darrell, 1996. "Asset Pricing with Heterogeneous Consumers," Journal of Political Economy, University of Chicago Press, vol. 104(2), pages 219-240, April.
    3. Backus, David K & Kehoe, Patrick J & Kydland, Finn E, 1992. "International Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 100(4), pages 745-775, August.
    4. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    5. 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 443-487, June.
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    7. 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.
    8. Levine, David K. & Zame, William R., 1996. "Debt constraints and equilibrium in infinite horizon economies with incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 26(1), pages 103-131.
    9. S. Rao Aiyagari, 1994. "Uninsured Idiosyncratic Risk and Aggregate Saving," The Quarterly Journal of Economics, Oxford University Press, vol. 109(3), pages 659-684.
    10. 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.
    11. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
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    15. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," Review of Economic Studies, Oxford University Press, vol. 63(4), pages 595-609.
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    18. John H. Cochrane & Lars Peter Hansen, 1992. "Asset Pricing Explorations for Macroeconomics," NBER Chapters,in: NBER Macroeconomics Annual 1992, Volume 7, pages 115-182 National Bureau of Economic Research, Inc.
    19. 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.
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    Cited by:

    1. Kjetil Storesletten & Chris Telmer & Amir Yaron, 2007. "Asset Pricing with Idiosyncratic Risk and Overlapping Generations," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 10(4), pages 519-548, October.
    2. Jérôme B. Detemple & Angel Serrat, 1998. "Dynamic Equilibrium with Liquidity Constraints," CIRANO Working Papers 98s-41, CIRANO.
    3. Alvarez, Fernando & Jermann, Urban J, 2001. "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," Review of Financial Studies, Society for Financial Studies, vol. 14(4), pages 1117-1151.
    4. Mehra, Rajnish & Prescott, Edward C., 2003. "The equity premium in retrospect," Handbook of the Economics of Finance,in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 14, pages 889-938 Elsevier.
    5. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    6. Dirk Krueger & Fabrizio Perri, 1999. "Risk sharing: private insurance markets or redistributive taxes?," Staff Report 262, Federal Reserve Bank of Minneapolis.
    7. Kocherlakota Narayana R, 2001. "Risky Collateral and Deposit Insurance," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-20, February.
    8. Alon Brav & George M. Constantinides & Christopher C. Geczy, 2002. "Asset Pricing with Heterogeneous Consumers and Limited Participation: Empirical Evidence," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 793-824, August.
    9. Karsten Jeske, 2005. "Private international debt with risk of repudiation," FRB Atlanta Working Paper 2001-16, Federal Reserve Bank of Atlanta.
    10. Lance Lochner & Alexander Monge-Naranjo, 2002. "Human Capital Formation with Endogenous Credit Constraints," NBER Working Papers 8815, National Bureau of Economic Research, Inc.
    11. 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.

    More about this item

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General

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