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Journal of the Royal Statistical Society Series C (Applied Statistics)
Article . 2019 . Peer-reviewed
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Article . 2020
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Article . 2018 . Peer-reviewed
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Estimating the Probability of Default for No-Default and Low-Default Portfolios

Estimating the probability of default for no-default and low-default portfolios
Authors: Blümke, Oliver;

Estimating the Probability of Default for No-Default and Low-Default Portfolios

Abstract

SummaryThe paper proposes a sequential Bayesian updating approach to estimate default probabilities on rating grade level for no- and low-default portfolios. Bayesian sequential updating enables default probabilities to be obtained also for those rating grades for which no defaults have been observed. The advantage of this approach is that it preserves the rank order of rating grades in the case of no defaults. Rank preservation is not ensured when using an identical prior distribution across all rating grades. We discuss Bayesian sequential updating for the beta–binomial model and a model incorporating the asymptotic single-risk factor model of the Basel Accord. Practical aspects such as incorporating information from external sources and the margin of conservatism are addressed.

Keywords

basel accord, low-default portfolio, probability of default, Applications of statistics, credit rating, international financial reporting standard 9, no-default portfolio

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
7
Top 10%
Average
Average
hybrid