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A Dynamic Analysis of Fixed- and Adjustable-Rate Mortgage Terminations

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Abstract

This paper provides a side-by-side comparison of loan-level statistical models for fixed- and adjustable-rate mortgages. Multinomial logit models for quarterly conditional probabilities of default and prepayment are estimated. We find that the estimated impacts of embedded option values for prepayment and default are generally quite similar across both FRM and ARM loans, providing additional empirical support for the basic predictions of the options theory. We also find that differences in estimates of conditional probabilities of prepayment and default associated with mortgage age, origination period, original LTV, and relative loan size, indicate the continued significance of these other economic and demographic factors for empirical models of mortgage terminations.

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References

  • Allison, P. D. (1992). “Discrete-Time Methods for the Analysis of Event Histories.” In S. Leinhardt (ed.), Sociological Methodology 1982 (pp. 61-98). San Francisco: Jossey-Bass.

    Google Scholar 

  • Allison, P. D. (1995). Survival Analysis Using the SAS ® System: A Practical Guide. Cary, N.C.: SAS Institute.

    Google Scholar 

  • Archer, W. R., D. C. Ling, and G. A. McGill. (1986). “The Effect of Income and Collateral Constraints on Residential Mortgage Terminations,” Journal of Regional Science and Urban Economics 26(3–4), 235-261.

    Google Scholar 

  • Bartholomew, L., J. Berk, and R. Roll. (1988). “Adjustable Rate Mortgages: Prepayment Behavior,” Housing Finance Review 7, 31-46.

    Google Scholar 

  • Brennan, M. J., and E. S. Schwartz. (1985). “Determinants of GNMA Mortgage Prices,” AREUEA Journal 13, 209-228.

    Google Scholar 

  • Brown, N., and D. Westhoff. (1998). “Packaging CRA Loans into Securities,” Mortgage Banking, May 1998, 32-41.

  • Buser, S. A., and P. H. Hendershott. (1984). “Pricing Default Free Mortgages,” Housing Finance Review 3, 405-429.

    Google Scholar 

  • Calhoun, C. A. (1996). “OFHEO House Price Indexes: Technical Description,” Washington, D.C., Office of Federal Housing Enterprise Oversight, April 1996.

    Google Scholar 

  • Calhoun, C. A. (1998). “Bivariate Ordered-Probit Estimates of Simultaneous Competing-Risk Hazards Models for Residential Mortgage Default and Prepayment.” Proceedings of the American Statistical Association 1997, Epidemiology Section, 92-97.

  • Campbell, T. S., and J. K. Dietrich (1983). “The Determinants of Default on Insured Conventional Residential Mortgage Loans,” Journal of Finance 38, 1569-1581.

    Google Scholar 

  • Case, K. E., and Shiller, R. J. (1987). “Prices of Single Family Real Estate Prices,” New England Economic Review, Sept./Oct., 45-56.

  • Case, K. E., and Shiller, R. J. (1989). “The Efficiency of the Market for Single-Family Homes,” The American Economic Review 79, 125-137.

    Google Scholar 

  • Costlett, S. (1981). “Efficient Estimation of Discrete-Choice Models.” In C. F. Manski and D. McFadden (eds.), Structural Analysis of Discrete Data with Econometric Applications (pp. 51-111). Cambridge, Massachusetts: MIT Press.

    Google Scholar 

  • Cox, D. R. (1975). “Partial Likelihood,” Biometrika 62, 269-276.

    Google Scholar 

  • Cunningham, D., and C. Capone. (1990). “The Relative Termination Experience of Adjustable to Fixed-Rate Mortgages,” The Journal of Finance 45(5), 1687-1703.

    Google Scholar 

  • Deng, Y. (1997). “Mortgage Termination: An Empirical Hazard Model With Stochastic Term Structure,” The Journal of Real Estate Finance and Economics 14(3), 309-331.

    Google Scholar 

  • Deng, Y., J. M. Quigley, and R. Van Order. (1996). “Mortgage Default and Low Downpayment Loans: The Costs of Public Subsidy,” Journal of Regional Science and Urban Economics 26(3–4), 263-285.

    Google Scholar 

  • Deng, Y., J. M. Quigley, and R. Van Order. (2000). “Mortgage Termination, Heterogeneity, and the Exercise of Mortgage Options,” Econometrica 68(2), 275-307.

    Google Scholar 

  • Dunn, K. B., and J. J. McConnell. (1981). “Valuation of Mortgage-Backed Securities,” The Journal of Finance 36, 599-617.

    Google Scholar 

  • Fabozzi, F. J., and S. F. Richard. (1995). “Introduction to the Option-Adjusted Spread Method.” In F. J. Fabozzi (ed.), The Handbook of Mortgage Backed Securities, 4th Edition, (pp. 611-624). New York: McGraw-Hill, 1995.

    Google Scholar 

  • Foster, C., and R. Van Order. (1984). “An Option-Based Model of Mortgage Default,” Housing Finance Review 3(4), 351-372.

    Google Scholar 

  • Foster, C., and R. Van Order. (1985). “FHA Terminations: A Prelude to Rational Mortgage Pricing,” AREUEA Journal 13(3), 273-291.

    Google Scholar 

  • Green, J., and J. B. Shoven. (1986). “The Effect of Interest Rates on Mortgage Prepayment,” Journal of Money, Credit and Banking 18, 41-50.

    Google Scholar 

  • Han, A., and Hausman, J. A. (1990). “Flexible Parametric Estimation of Duration and Competing Risk Models,” Journal of Applied Econometrics 5, 1-29.

    Google Scholar 

  • Hendershott, P. H., and R. Van Order. (1987). “Pricing Mortgages: An Interpretation of the Models and Results,” Journal of Financial Services Research 1, 77-111.

    Google Scholar 

  • Kalbfleisch, J. D., and R. L. Prentice. (1980). The Statistical Analysis of Failure Time Data. New York: John Wiley & Sons.

    Google Scholar 

  • Kaplan, E. L., and P. Meier. (1958). “Nonparametric Estimation from Incomplete Observations,” Journal of the American Statistical Association 53, 457-481.

    Google Scholar 

  • Kau, J. B., D. C. Keenan, W. J. Muller, and J. F. Epperson. (1985). “Rational Pricing of Adjustable Rate Mortgages,” AREUEA Journal 13(2), 117-128.

    Google Scholar 

  • Kau, J. B., D. C. Keenam, W. J. Muller, and J. F. Epperson. (1990). “The Valuation and Analysis of Adjustable Rate Mortagages,” Management Science 36(12), 1417-1431.

    Google Scholar 

  • Lancaster, T. (1990). The Econometric Analysis of Transition Data. New York: Cambridge University Press.

    Google Scholar 

  • Lillard, L. A. (1993). “Simultaneous Equations for Hazards: Marriage Duration and Fertility Timing,” Journal of Econometrics 56, 189-217.

    Google Scholar 

  • MacDonald, G. D., and T. H. Holloway (1996). “Early Evidence on Balloon Performance,” Journal of Real Estate Finance and Economics 12, 279-293.

    Google Scholar 

  • McFadden, D. (1978). “Modelling the Choice of Residential Location.” In A. Karquist et al. (eds.), Spatial Interaction Theory and Planning Models. Amsterdam: North-Holland Publishing Company.

    Google Scholar 

  • McFadden, D. (1981). “Econometric Models of Probabilistic Choice.” In C. F. Manski and D. McFadden (eds.), Structural Analysis of Discrete Data with Econometric Applications (pp. 198-272). Cambridge, Mass.: MT Press.

    Google Scholar 

  • Price Waterhouse (1990). An Actuarial Review of the Federal Housing Administration's Mutual Mortgage Insurance Fund. Washington, DC: Price Waterhouse, 1990.

    Google Scholar 

  • Quigley, J., and R. Van Order. (1995). “Efficiency in the Mortgage Market: The Borrower's Perspective,” AREUEA Journal 18(3), 237-252.

    Google Scholar 

  • Quigley, J. M., and R. Van Order. (1995). “Explicit Tests of Contingent Claims Models of Mortgage Default,” The Journal of Real Estate Finance and Economics 11(2), 99-117.

    Google Scholar 

  • Richard, S. F., and R. Roll (1989). “Prepayments on Fixed Rate Mortgage Backed Securities,” Journal of Portfolio Management 15(3), 73-82.

    Google Scholar 

  • Roll, R. (1987). “Collateralized Mortgage Obligations: Characteristics, History, Analysis.” In F. J. Fabozzi (ed.), The Handbook of Mortgage-Backed Securities (pp. 7-44). Chicago: Probus.

    Google Scholar 

  • Sa-Aadu, J. (1988). “Legal Restriction, Credit Allocation and Default Risk Under Fixed and Adjustable Rate Mortgage,” Housing Finance Review 7, 225-247.

    Google Scholar 

  • Schwartz, E. S., and W. N. Torous (1989). “Prepayment and the Valuation of Mortgage-Backed Securities,” The Journal of Finance 44(2), 375-392.

    Google Scholar 

  • Stanton, R., and N. Wallace (1995). “ARM Wrestling: Valuing Adjustable Rate Mortgages Indexed to the Eleventh District Cost of Funds,” AREUEA Journal 23, 311-345.

    Google Scholar 

  • Vandell, K. D. (1993). “Handing Over the Keys: A Perspective on Mortgage Default Research,” AREUEA Journal 21(3), 211-246.

    Google Scholar 

  • Zorn, P., and M. Lea. (1986). “Adjustable Rate Mortgage, Fluctuations in the Economic Environment and Lender Portfolio Change,” AREUEA Journal 14, 432-447.

    Google Scholar 

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Calhoun, C.A., Deng, Y. A Dynamic Analysis of Fixed- and Adjustable-Rate Mortgage Terminations. The Journal of Real Estate Finance and Economics 24, 9–33 (2002). https://doi.org/10.1023/A:1013926103824

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