Effects of unobserved defaults on correlation between probability of default and loss given default on mortgage loans
AbstractThis paper demonstrates how the observed correlation between probability of default and loss given default depends on the fact that defaults in which collateral provides 100% recovery are not observed. Creditors see only the defaults of mortgagors who suffer from a fall in collateral value to less than the remaining loan principal. Consequently, the default data available to creditors amounts to a mere truncated sample from the underlying population of defaults. Correlation estimates based on such truncated samples are biased and differ substantially from estimates derived from representative non-truncated samples. Moreover, the observed correlation between default probability and loss given default is sensitive to the truncation point, which may explain the differences in correlation estimates found in the literature. This may also explain why correlation estimates seem to be specific to cycle phase.
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Bibliographic InfoPaper provided by Bank of Finland in its series Research Discussion Papers with number 3/2009.
Length: 28 pages
Date of creation: 21 Jan 2009
Date of revision:
credit risks; mortgage loans; truncated distributions; sample selection; log-normal distribution;
Find related papers by JEL classification:
- C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
- E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
- G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages
- G28 - Financial Economics - - Financial Institutions and Services - - - Government Policy and Regulation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-02-14 (All new papers)
- NEP-RMG-2009-02-14 (Risk Management)
- NEP-URE-2009-02-14 (Urban & Real Estate Economics)
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- 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.
- Linda Allen & Anthony Saunders, 2003. "A survey of cyclical effects in credit risk measurement model," BIS Working Papers 126, Bank for International Settlements.
- David B. Gross & Nicholas S. Souleles, 1999.
"An Empirical Analysis of Personal Bankruptcy and Delinquency,"
Center for Financial Institutions Working Papers
98-28, Wharton School Center for Financial Institutions, University of Pennsylvania.
- David B. Gross, 2002. "An Empirical Analysis of Personal Bankruptcy and Delinquency," Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 319-347, March.
- David B. Gross & Nicholas S. Souleles, 2001. "An Empirical Analysis of Personal Bankruptcy and Delinquency," NBER Working Papers 8409, National Bureau of Economic Research, Inc.
- Paraskevi Dimou & Colin Lawrence & Alistair Milne, 2005. "Skewness of Returns, Capital Adequacy, and Mortgage Lending," Journal of Financial Services Research, Springer, vol. 28(1), pages 135-161, October.
- 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.
- Edward I. Altman & Andrea Resti & Andrea Sironi, 2002. "The link between default and recovery rates: effects on the procyclicality of regulatory capital ratios," BIS Working Papers 113, Bank for International Settlements.
- Campbell, Rachel A.J. & Forbes, Catherine S. & Koedijk, Kees G. & Kofman, Paul, 2008.
"Increasing correlations or just fat tails?,"
Journal of Empirical Finance,
Elsevier, vol. 15(2), pages 287-309, March.
- Campbell, Rachel A.J. & Forbes, Catherine S. & Koedijk, Kees G. & Kofman, Paul, 2008. "Increasing correlations or just fat tails?," Open Access publications from Maastricht University urn:nbn:nl:ui:27-19568, Maastricht University.
- Jon Frye, 2000. "Collateral damage detected," Emerging Issues, Federal Reserve Bank of Chicago, issue Sep.
- Erlenmaier, Ulrich & Gersbach, Hans, 2001. "Default probabilities and default correlations," Research Notes 01-5, Deutsche Bank Research.
- Sanjiv Das, 2007. "Basel II: Correlation Related Issues," Journal of Financial Services Research, Springer, vol. 32(1), pages 17-38, October.
- Jon Frye, 2000. "Depressing recoveries," Emerging Issues, Federal Reserve Bank of Chicago, issue Oct.
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