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Mortgage Default: Classification Trees Analysis

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Author Info
David Feldman ()
Shulamith Gross ()
Abstract

We apply the powerful, flexible, and computationally efficient nonparametric Classification and Regression Trees (CART) algorithm to analyze real estate mortgage data. CART is particularly appropriate for our data set because of its strengths in dealing with large data sets, high dimensionality, mixed data types, missing data, different relationships between variables in different parts of the measurement space, and outliers. Moreover, CART is intuitive and easy to interpret and implement. We discuss the pros and cons of CART in relation to traditional methods such as linear logistic regression, nonparametric additive logistic regression, discriminant analysis, partial least squares classification, and neural networks, with particular emphasis on real estate. We use CART to produce the first academic study of Israeli mortgage default data. We find that borrowers’ features, rather than mortgage contract features, are the strongest predictors of default if accepting icbadli borrowers is more costly than rejecting “good” ones. If the costs are equal, mortgage features are used as well. The higher (lower) the ratio of misclassification costs of bad risks versus good ones, the lower (higher) are the resulting misclassification rates of bad risks and the higher (lower) are the misclassification rates of good ones. This is consistent with real-world rejection of good risks in an attempt to avoid bad ones. Copyright Springer Science + Business Media, Inc. 2005

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File URL: http://hdl.handle.net/10.1007/s11146-005-7013-7
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Publisher Info
Article provided by Springer in its journal The Journal of Real Estate Finance and Economics.

Volume (Year): 30 (2005)
Issue (Month): 4 (June)
Pages: 369-396
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Handle: RePEc:kap:jrefec:v:30:y:2005:i:4:p:369-396

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Web page: http://www.springerlink.com/link.asp?id=102945

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Related research
Keywords: mortgage default; Classification and Regression Trees; misclassification error;

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  1. Ambrose, Brent W & Sanders, Anthony B, 2003. "Commercial Mortgage-Backed Securities: Prepayment and Default," The Journal of Real Estate Finance and Economics, Springer, vol. 26(2-3), pages 179-96, March-May. [Downloadable!] (restricted)
  2. Kuhnert, Petra M. & Do, Kim-Anh & McClure, Rod, 2000. "Combining non-parametric models with logistic regression: an application to motor vehicle injury data," Computational Statistics & Data Analysis, Elsevier, vol. 34(3), pages 371-386, September. [Downloadable!] (restricted)
  3. Kerry D. Vandell, 1993. "Handing Over the Keys: A Perspective on Mortgage Default Research," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(3), pages 211-246. [Downloadable!] (restricted)
  4. Dennis R. Capozza & Dick Kazarian & Thomas A. Thomson, 1997. "Mortgage Default in Local Markets," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 25(4), pages 631-655. [Downloadable!] (restricted)
  5. Vassilis Lekkas & John M. Quigley & Robert Order, 1993. "Loan Loss Severity and Optimal Mortgage Default," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 21(4), pages 353-371. [Downloadable!] (restricted)
  6. Sanders, Anthony B, 2002. "Government Sponsored Agencies: Do the Benefits Outweigh the Costs?," The Journal of Real Estate Finance and Economics, Springer, vol. 25(2-3), pages 121-27, Sept.-Dec. [Downloadable!] (restricted)
  7. Ambrose, Brent W & Buttimer, Richard J, Jr, 2000. "Embedded Options in the Mortgage Contract," The Journal of Real Estate Finance and Economics, Springer, vol. 21(2), pages 95-111, September. [Downloadable!] (restricted)
    Other versions:
  8. Quigley, John M & Van Order, Robert, 1995. "Explicit Tests of Contingent Claims Models of Mortgage Default," The Journal of Real Estate Finance and Economics, Springer, vol. 11(2), pages 99-117, September.
    Other versions:
  9. Dennis R. Capozza & Dick Kazarian & Thomas A. Thomson, 1998. "The Conditional Probability of Mortgage Default," Real Estate Economics, American Real Estate and Urban Economics Association, vol. 26(3), pages 259-289. [Downloadable!] (restricted)
  10. Ambrose, Brent W & Capone, Charles A, Jr & Deng, Yongheng, 2001. "Optimal Put Exercise: An Empirical Examination of Conditions for Mortgage Foreclosure," The Journal of Real Estate Finance and Economics, Springer, vol. 23(2), pages 213-34, September. [Downloadable!] (restricted)
  11. Frydman, Halina & Altman, Edward I & Kao, Duen-Li, 1985. " Introducing Recursive Partitioning for Financial Classification: The Case of Financial Distress," Journal of Finance, American Finance Association, vol. 40(1), pages 269-91, March. [Downloadable!] (restricted)
  12. Deng, Yongheng, 1997. "Mortgage Termination: An Empirical Hazard Model with a Stochastic Term Structure," The Journal of Real Estate Finance and Economics, Springer, vol. 14(3), pages 309-31, May. [Downloadable!] (restricted)
  13. Karolyi, G Andrew & Sanders, Anthony B, 1998. "The Variation of Economic Risk Premiums in Real Estate Returns," The Journal of Real Estate Finance and Economics, Springer, vol. 17(3), pages 245-62, November. [Downloadable!] (restricted)
  14. 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.
  15. 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. [Downloadable!] (restricted)
  16. 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. [Downloadable!] (restricted)
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