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Effects of unobserved defaults on correlation between probability of default and loss given on mortgage loans

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  • Palmroos, Peter

Abstract

This 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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  • Palmroos, Peter, 2009. "Effects of unobserved defaults on correlation between probability of default and loss given on mortgage loans," Bank of Finland Research Discussion Papers 3/2009, Bank of Finland.
    • Handle: RePEc:zbw:bofrdp:rdp2009_003
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    1. 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.
    2. David B. Gross, 2002. "An Empirical Analysis of Personal Bankruptcy and Delinquency," The Review of Financial Studies, Society for Financial Studies, vol. 15(1), pages 319-347, March.
    3. Hollie Cairns & Gwilym Pryce, 2005. "An Analysis of Mortgage Arrears Using the British Household Panel Survey," ERES eres2005_134, European Real Estate Society (ERES).
    4. 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.
    5. 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.
    6. Sanjiv Das, 2007. "Basel II: Correlation Related Issues," Journal of Financial Services Research, Springer;Western Finance Association, vol. 32(1), pages 17-38, October.
    7. Erlenmaier, Ulrich & Gersbach, Hans, 2001. "Default probabilities and default correlations," Research Notes 01-5, Deutsche Bank Research.
    8. 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.
    9. Paraskevi Dimou & Colin Lawrence & Alistair Milne, 2005. "Skewness of Returns, Capital Adequacy, and Mortgage Lending," Journal of Financial Services Research, Springer;Western Finance Association, vol. 28(1), pages 135-161, October.
    10. Jon Frye, 2000. "Depressing recoveries," Emerging Issues, Federal Reserve Bank of Chicago, issue Oct.
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