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Collateral Equilibrium - A Basic Framework

  • John Geanakoplos

    (Yale University)

  • William Zame

    (University of California, Los Angeles)

Much of the lending in modern economies is secured by some form of collateral; residential and commercial mortgages and corporate bonds are familiar examples. This paper builds an extension of general equilibrium theory that incorporates durable goods, collateralized securities and the possibility of default to argue that the reliance on collateral to secure loans and the particular collateral requirements chosen by the social planner or by the market have a profound impact on prices, allocations, market structure and the efficiency of market outcomes. These findings provide insights into housing and mortgage markets, including the sub-prime mortgage market.

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Paper provided by Einaudi Institute for Economics and Finance (EIEF) in its series EIEF Working Papers Series with number 1319.

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Length: 59 pages
Date of creation: 2013
Date of revision: Aug 2013
Handle: RePEc:eie:wpaper:1319
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  1. Ana Fostel & John Geanakoplos, 2013. "Leverage and Default in Binomial Economies: A Complete Characterization," Levine's Working Paper Archive 786969000000000755, David K. Levine.
  2. Kiyotaki, Nobuhiro & Moore, John, 1997. "Credit Cycles," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 211-48, April.
  3. Weerachart Kilenthong, 2011. "Collateral premia and risk sharing under limited commitment," Economic Theory, Springer, vol. 46(3), pages 475-501, April.
  4. Magill, M. & Quinzii, M., 1993. "Infinite Horizon Incomplete Markets," Papers 9320, Southern California - Department of Economics.
  5. Kristopher Gerardi & Adam Hale Shapiro & Paul S. Willen, 2007. "Subprime outcomes: risky mortgages, homeownership experiences, and foreclosures," Working Papers 07-15, Federal Reserve Bank of Boston.
  6. Bernanke, Ben & Gertler, Mark & Gilchrist, Simon, 1994. "The Financial Accelerator and the Flight to Quality," Working Papers 94-24, C.V. Starr Center for Applied Economics, New York University.
  7. Ricardo Lagos, 2006. "Asset prices and liquidity in an exchange economy," Staff Report 373, Federal Reserve Bank of Minneapolis.
  8. Hernandez D., Alejandro & Santos, Manuel S., 1996. "Competitive Equilibria for Infinite-Horizon Economies with Incomplete Markets," Journal of Economic Theory, Elsevier, vol. 71(1), pages 102-130, October.
  9. Steinert, Mariano & Torres-Martinez, Juan Pablo, 2007. "General equilibrium in CLO markets," Journal of Mathematical Economics, Elsevier, vol. 43(6), pages 709-734, August.
  10. Kehoe, Timothy J & Levine, David K, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Wiley Blackwell, vol. 60(4), pages 865-88, October.
  11. Holmström, Bengt & Tirole, Jean, 1994. "Financial Intermediation, Loanable Funds and the Real Sector," IDEI Working Papers 40, Institut d'Économie Industrielle (IDEI), Toulouse.
  12. Araujo, Aloisio & Fajardo, Jose & Pascoa, Mario R., 2005. "Endogenous collateral," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 439-462, August.
  13. Araújo, Aloísio & Kubler, Felix & Schommer, Susan, 2012. "Regulating collateral-requirements when markets are incomplete," Journal of Economic Theory, Elsevier, vol. 147(2), pages 450-476.
  14. Hellwig, Martin F, 1981. "Bankruptcy, Limited Liability, and the Modigliani-Miller Theorem," American Economic Review, American Economic Association, vol. 71(1), pages 155-70, March.
  15. William R. Zame, 1992. "Efficiency and the Role of Default When Security Markets are Incomplete," UCLA Economics Working Papers 673, UCLA Department of Economics.
  16. Hart, Oliver D., 1975. "On the optimality of equilibrium when the market structure is incomplete," Journal of Economic Theory, Elsevier, vol. 11(3), pages 418-443, December.
  17. 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.
  18. Ana Fostel & John Geanakoplos, 2011. "Tranching, CDS and Asset Prices: How Financial Innovation Can Cause Bubbles and Crashes," Cowles Foundation Discussion Papers 1809, Cowles Foundation for Research in Economics, Yale University.
  19. Mankiw, N. Gregory & Weil, David N., 1989. "The baby boom, the baby bust, and the housing market," Regional Science and Urban Economics, Elsevier, vol. 19(2), pages 235-258, May.
  20. Lin, Emily Y. & White, Michelle J., 2001. "Bankruptcy and the Market for Mortgage and Home Improvement Loans," Journal of Urban Economics, Elsevier, vol. 50(1), pages 138-162, July.
  21. Alp Simsek, 2013. "Belief Disagreements and Collateral Constraints," Econometrica, Econometric Society, vol. 81(1), pages 1-53, 01.
  22. Ana Fostel & John Geanakoplos, 2012. "Leverage and Default in Binomial Economies: A Complete Characterization," Cowles Foundation Discussion Papers 1877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 2013.
  23. John Geanakoplos & Ana Fostel, 2008. "Leverage Cycles and the Anxious Economy," American Economic Review, American Economic Association, vol. 98(4), pages 1211-44, September.
  24. Hanno Lustig & Stijn Van Nieuwerburgh, 2003. "Housing Collateral, Consumption Insurance and Risk Premia: An Empirical Perpective," NBER Working Papers 9959, National Bureau of Economic Research, Inc.
  25. Scott Fay & Erik Hurst & Michelle J. White, 2002. "The Household Bankruptcy Decision," American Economic Review, American Economic Association, vol. 92(3), pages 706-718, June.
  26. Elul, Ronel, 1999. "Effectively complete equilibria--A note," Journal of Mathematical Economics, Elsevier, vol. 32(1), pages 113-119, August.
  27. Páscoa, Mario Rui & Araújo, Aloísio Pessoa de & Torres-Martínez, Juan Pablo, 2001. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Economics Working Papers (Ensaios Economicos da EPGE) 419, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  28. Kau James B. & Keenan Donald C. & Kim Taewon, 1994. "Default Probabilities for Mortgages," Journal of Urban Economics, Elsevier, vol. 35(3), pages 278-296, May.
  29. Ana Fostel & John Geanakoplos, 2013. "Leverage and Default in Binomial Economies: A Complete Characterization," Working Papers 2013-16, The George Washington University, Institute for International Economic Policy.
  30. Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
  31. Polemarchakis, H. M. & Ku, Bon-Il, 1990. "Options and equilibrium," Journal of Mathematical Economics, Elsevier, vol. 19(1-2), pages 107-112.
  32. Duffie, Darrell & Shafer, Wayne, 1986. "Equilibrium in incomplete markets: II : Generic existence in stochastic economies," Journal of Mathematical Economics, Elsevier, vol. 15(3), pages 199-216, June.
  33. Sabarwal Tarun, 2003. "Competitive Equilibria With Incomplete Markets and Endogenous Bankruptcy," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 3(1), pages 1-42, January.
  34. Ana Fostel & John Geanakoplos, 2013. "Financial Innovation, Collateral and Investment," Working Papers 2013-18, The George Washington University, Institute for International Economic Policy.
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