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Estimation, Adjustment and Application of Transition Matrices in Credit Risk Models

In: Handbook of Computational and Numerical Methods in Finance

Author

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  • Stefan Trück

    (Universität Karlsruhe (TH), Institut für Statistik und Mathematische Wirtschaftstheorie)

  • Emrah Özturkmen

    (Universität Karlsruhe (TH), Institut für Statistik und Mathematische Wirtschaftstheorie)

Abstract

The paper gives a survey on recent developments on the use of numerical methods in rating based Credit Risk Models. Generally such models use transition matrices to describe probabilities from moving from one rating state to the other and to calculate Value-at-Risk figures for portfolios. We show how numerical methods can be used to find so-called true generator matrices in the continuous-time approach, adjust transition matrices or estimate confidence bounds for default and transition probabilities.

Suggested Citation

  • Stefan Trück & Emrah Özturkmen, 2004. "Estimation, Adjustment and Application of Transition Matrices in Credit Risk Models," Springer Books, in: Svetlozar T. Rachev (ed.), Handbook of Computational and Numerical Methods in Finance, chapter 11, pages 373-402, Springer.
  • Handle: RePEc:spr:sprchp:978-0-8176-8180-7_11
    DOI: 10.1007/978-0-8176-8180-7_11
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