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Stochastic House Appreciation and Optimal Mortgage Lending

Author

Listed:
  • Alexei Tchistyi

    (NYU Stern)

  • Tomasz Piskorski

    (Columbia Business School)

Abstract

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.

Suggested Citation

  • Alexei Tchistyi & Tomasz Piskorski, 2008. "Stochastic House Appreciation and Optimal Mortgage Lending," 2008 Meeting Papers 938, Society for Economic Dynamics.
  • Handle: RePEc:red:sed008:938
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    References listed on IDEAS

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    1. Christopher Phelan & Robert M. Townsend, 1991. "Computing Multi-Period, Information-Constrained Optima," Review of Economic Studies, Oxford University Press, vol. 58(5), pages 853-881.
    2. John Y. Campbell & João F. Cocco, 2003. "Household Risk Management and Optimal Mortgage Choice," The Quarterly Journal of Economics, Oxford University Press, vol. 118(4), pages 1449-1494.
    3. 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.
    4. 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.
    5. Yacine Aït-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.
    6. LeRoy, Stephen F, 1996. "Mortgage Valuation under Optimal Prepayment," Review of Financial Studies, Society for Financial Studies, vol. 9(3), pages 817-844.
    7. Dunn, Kenneth B & Spatt, Chester S, 1985. " An Analysis of Mortgage Contracting: Prepayment Penalties and the Due-on-Sale Clause," Journal of Finance, American Finance Association, vol. 40(1), pages 293-308, March.
    8. 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 279-299, August.
    9. Stephen E. Spear & Sanjay Srivastava, 1987. "On Repeated Moral Hazard with Discounting," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 599-617.
    10. Richard Stanton & Nancy Wallace, 1998. "Mortgage Choice: What's the Point?," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 26(2), pages 173-205.
    11. 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 314-325, August.
    12. Posey, Lisa L. & Yavas, Abdullah, 2001. "Adjustable and Fixed Rate Mortgages as a Screening Mechanism for Default Risk," Journal of Urban Economics, Elsevier, vol. 49(1), pages 54-79, January.
    13. 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.
    14. Sumit Agarwal & Calvin T. Ho, 2007. "Comparing the prime and subprime mortgage markets," Chicago Fed Letter, Federal Reserve Bank of Chicago, issue Aug.
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    Cited by:

    1. Andrew F. Haughwout & Christopher J. Mayer & Joseph Tracy, 2009. "Subprime mortgage pricing: the impact of race, ethnicity, and gender on the cost of borrowing," Staff Reports 368, Federal Reserve Bank of New York.
    2. Piskorski, Tomasz & Seru, Amit & Vig, Vikrant, 2010. "Securitization and distressed loan renegotiation: Evidence from the subprime mortgage crisis," Journal of Financial Economics, Elsevier, vol. 97(3), pages 369-397, September.

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