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Stochastic House Appreciation and Optimal Mortgage Lending

  • Alexei Tchistyi

    (NYU Stern)

  • Tomasz Piskorski

    (Columbia Business School)

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    Assuming full rationality, we characterize the optimal mortgage contract in a continuous time setting with a risky borrower, costly default, a moral hazard problem between the borrower and the lender, and a stochastic house appreciation. We show that many features of subprime lending observed in practice are consistent with economic e¢ ciency and rationality of both borrowers and lenders. In particular, preferential treatment of subprime borrowers is optimal during the housing boom, while default clustering among subprime borrowers is optimal during the housing slump. We also find that stochastic house appreciation makes it profitable to give loans to subprime borrowers who otherwise would be shut out of the housing market, which generates substantial ex-ante utility gains for these borrowers.

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    File URL: https://www.economicdynamics.org/meetpapers/2008/paper_938.pdf
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    Paper provided by Society for Economic Dynamics in its series 2008 Meeting Papers with number 938.

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    Date of creation: 2008
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    Handle: RePEc:red:sed008:938
    Contact details of provider: Postal: Society for Economic Dynamics Christian Zimmermann Economic Research Federal Reserve Bank of St. Louis PO Box 442 St. Louis MO 63166-0442 USA
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    Web page: http://www.EconomicDynamics.org/society.htm
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    1. Bruno Biais & Thomas Mariotti & Guillaume Plantin & Jean-Charles Rochet, 2007. "Dynamic Security Design: Convergence to Continuous Time and Asset Pricing Implications," Review of Economic Studies, Oxford University Press, vol. 74(2), pages 345-390.
    2. Chari, V V & Jagannathan, Ravi, 1989. " Adverse Selection in a Model of Real Estate Lending," Journal of Finance, American Finance Association, vol. 44(2), pages 499-508, June.
    3. Spear, Stephen E & Srivastava, Sanjay, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Wiley Blackwell, vol. 54(4), pages 599-617, October.
    4. Kristopher Gerardi & Harvey S. Rosen & Paul Willen, 2007. "Do Households Benefit from Financial Deregulation and Innovation? The Case of the Mortgage Market," Working Papers 61, Princeton University, Department of Economics, Center for Economic Policy Studies..
    5. John Y. Campbell & Joao F. Cocco, 2003. "Household Risk Management And Optimal Mortgage Choice," The Quarterly Journal of Economics, MIT Press, vol. 118(4), pages 1449-1494, November.
    6. Christopher Phelan & Robert M Townsend, 2010. "Computing Multi-Period, Information Constrained Optima," Levine's Working Paper Archive 117, David K. Levine.
    7. Yacine A�T-Sahalia & Jonathan A. Parker & Motohiro Yogo, 2004. "Luxury Goods and the Equity Premium," Journal of Finance, American Finance Association, vol. 59(6), pages 2959-3004, December.
    8. Peter M. DeMarzo & Michael J. Fishman, 2007. "Agency and Optimal Investment Dynamics," Review of Financial Studies, Society for Financial Studies, vol. 20(1), pages 151-188, January.
    9. LeRoy, Stephen F, 1996. "Mortgage Valuation under Optimal Prepayment," Review of Financial Studies, Society for Financial Studies, vol. 9(3), pages 817-44.
    10. Ambrose, Brent W & Buttimer, Richard J, Jr & Capone, Charles A, 1997. "Pricing Mortgage Default and Foreclosure Delay," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 29(3), pages 314-25, August.
    11. Kau, James B, et al, 1992. "A Generalized Valuation Model for Fixed-Rate Residential Mortgages," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(3), pages 279-99, August.
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