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The Valuation at Origination of Fixed-Rate Mortgages with Default and Prepayment


  • Kau, James B.
  • Keenan, Donald C.
  • Muller III, Walter J.
  • Epperson, James F.


This paper develops a model to rationally price fixed-rate mortgages, using the arbitrage principles of option pricing theory. The paper incorporates amortization, prepayment and default in valuing the mortgage. Having completely specified the model, numerical procedures value the different features of the mortgage contract under a variety of economic conditions. The necessity of having both the interest rate and the house price as explanatory variables, due to the interaction of default and prepayment, is demonstrated. The numerical solutions presented center around mortgage pricing at origination. Thus, variations in the equilibrium contract rate are examined for differing economic conditions and changes in the contract. Finally, by presenting a complete model, the paper yields insights for the existence of common institutional practices. Copyright 1995 by Kluwer Academic Publishers

Suggested Citation

  • Kau, James B. & Keenan, Donald C. & Muller III, Walter J. & Epperson, James F., 1995. "The Valuation at Origination of Fixed-Rate Mortgages with Default and Prepayment," The Journal of Real Estate Finance and Economics, Springer, vol. 11(1), pages 5-36, July.
  • Handle: RePEc:kap:jrefec:v:11:y:1995:i:1:p:5-36

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    References listed on IDEAS

    1. Jorion, Philippe, 1985. "International Portfolio Diversification with Estimation Risk," The Journal of Business, University of Chicago Press, vol. 58(3), pages 259-278, July.
    2. Englund, Peter & Quigley, John M. & Redfearn, Christian L., 1998. "Improved Price Indexes for Real Estate: Measuring the Course of Swedish Housing Prices," Journal of Urban Economics, Elsevier, vol. 44(2), pages 171-196, September.
    3. Flavin, Marjorie & Yamashita, Takashi, 1998. "Owner-Occupied Housing and the Composition of the Household Portfolio over the Life Cycle," University of California at San Diego, Economics Working Paper Series qt89x293v9, Department of Economics, UC San Diego.
    4. Goetzmann, William Nelson, 1993. "The Single Family Home in the Investment Portfolio," The Journal of Real Estate Finance and Economics, Springer, vol. 6(3), pages 201-222, May.
    5. Sweeney, James L., 1974. "Housing unit maintenance and the mode of tenure," Journal of Economic Theory, Elsevier, vol. 8(2), pages 111-138, June.
    6. Englund, Peter & Ioannides, Yannis M., 1997. "House Price Dynamics: An International Empirical Perspective," Journal of Housing Economics, Elsevier, vol. 6(2), pages 119-136, June.
    7. Case, Karl E & Shiller, Robert J, 1989. "The Efficiency of the Market for Single-Family Homes," American Economic Review, American Economic Association, vol. 79(1), pages 125-137, March.
    8. Karl E. Case & Robert J. Shiller, 1990. "Forecasting Prices and Excess Returns in the Housing Market," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 18(3), pages 253-273.
    9. Englund, Peter, 1999. "The Swedish Banking Crisis: Roots and Consequences," Oxford Review of Economic Policy, Oxford University Press, vol. 15(3), pages 80-97, Autumn.
    10. Richard Barkham & David Geltner, 1995. "Price Discovery in American and British Property Markets," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 23(1), pages 21-44.
    11. Rosen, Harvey S & Rosen, Kenneth T & Holtz-Eakin, Douglas, 1984. "Housing Tenure, Uncertainty, and Taxation," The Review of Economics and Statistics, MIT Press, vol. 66(3), pages 405-416, August.
    12. Tracy M. Turner, 2003. "Does Investment Risk Affect the Housing Decisions of Families?," Economic Inquiry, Western Economic Association International, vol. 41(4), pages 675-691, October.
    13. Heaton, John & Lucas, Deborah, 2000. "Portfolio Choice in the Presence of Background Risk," Economic Journal, Royal Economic Society, vol. 110(460), pages 1-26, January.
    14. John F. Kain & John M. Quigley, 1975. "Housing Markets and Racial Discrimination: A Microeconomic Analysis," NBER Books, National Bureau of Economic Research, Inc, number kain75-1, January.
    15. Brueckner, Jan K, 1997. "Consumption and Investment Motives and the Portfolio Choices of Homeowners," The Journal of Real Estate Finance and Economics, Springer, vol. 15(2), pages 159-180, October.
    16. Karl E. Case & Robert J. Shiller & Allan N. Weiss, 1991. "Index-Based Futures and Options Markets in Real Estate," Cowles Foundation Discussion Papers 1006, Cowles Foundation for Research in Economics, Yale University.
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