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Approximating correlated defaults

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  • Rosenthal, Dale W.R.

Abstract

Modeling defaults is critical to risk management as well as pricing debt portfolios and portfolio derivatives. In the recent financial crisis, multi-billion-dollar losses resulted from correlated defaults that were improperly modeled. This paper proposes statistical approximations which are more general than those used previously, follow from an intensity-based risk-factor model, and allow consistent parameter esti- mation. The parameters imply an approximating portfolio of independent, identical-credit loans and characterize both average credit quality and default-relative diversification (aka the “diversity score”). Unlike previous approaches, these metrics are derived jointly from theory. The approach addresses weaknesses in the typical diversity score-based methods by allowing for fatter tails as well as loans differing in size and credit quality. The approximations may also be used to model complete portfolio default and help set capital adequacy requirements. An example shows how to estimate the approximating portfolio.

Suggested Citation

  • Rosenthal, Dale W.R., 2008. "Approximating correlated defaults," MPRA Paper 36788, University Library of Munich, Germany, revised 15 Feb 2012.
    • Handle: RePEc:pra:mprapa:36788
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    File URL: https://mpra.ub.uni-muenchen.de/36937/1/MPRA_paper_36937.pdf
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    default approximating portfolio; diversity score; gamma Edgeworth expansion;
    All these keywords.

    JEL classification:

    • C16 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Econometric and Statistical Methods; Specific Distributions
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation

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