Combination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs

The construction of an internal rating model is the main task for the bank in the framework of the IRB-foundation approach the fact that it is necessary to determine the probability of default by rating class. As a result, several statistical approaches can be used, such as logistic regression and l...

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Autores principales: Mohamed Habachi, Saâd Benbachir
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Lenguaje:EN
Publicado: Taylor & Francis Group 2019
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Acceso en línea:https://doaj.org/article/52cbb9ffb62340f9a5f6acdd8e9a243e
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spelling oai:doaj.org-article:52cbb9ffb62340f9a5f6acdd8e9a243e2021-12-02T16:09:31ZCombination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs2331-197510.1080/23311975.2019.1685926https://doaj.org/article/52cbb9ffb62340f9a5f6acdd8e9a243e2019-01-01T00:00:00Zhttp://dx.doi.org/10.1080/23311975.2019.1685926https://doaj.org/toc/2331-1975The construction of an internal rating model is the main task for the bank in the framework of the IRB-foundation approach the fact that it is necessary to determine the probability of default by rating class. As a result, several statistical approaches can be used, such as logistic regression and linear discriminant analysis to express the relationship between the default and the financial, managerial and organizational characteristics of the enterprise. In this paper, we will propose a new approach to combine the linear discriminant analysis and the expert opinion by using the Bayesian approach. Indeed, we will build a rating model based on linear discriminant analysis and we will use the bayesian logic to determine the posterior probability of default by rating class. The reliability of experts’ estimates depends on the information collection process. As a result, we have defined an information collection approach that allows to reduce the imprecision of the estimates by using the Delphi method. The empirical study uses a portfolio of SMEs from a Moroccan bank. This permitted the construction of the statistical rating model and the associated Bayesian models; and to compare the capital requirement determined by these models.Mohamed HabachiSaâd BenbachirTaylor & Francis Grouparticlelinear discriminant analysisbayesian approachprobability of default (pd)irb foundationunexpected loss (ul)BusinessHF5001-6182Management. Industrial managementHD28-70ENCogent Business & Management, Vol 6, Iss 1 (2019)
institution DOAJ
collection DOAJ
language EN
topic linear discriminant analysis
bayesian approach
probability of default (pd)
irb foundation
unexpected loss (ul)
Business
HF5001-6182
Management. Industrial management
HD28-70
spellingShingle linear discriminant analysis
bayesian approach
probability of default (pd)
irb foundation
unexpected loss (ul)
Business
HF5001-6182
Management. Industrial management
HD28-70
Mohamed Habachi
Saâd Benbachir
Combination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs
description The construction of an internal rating model is the main task for the bank in the framework of the IRB-foundation approach the fact that it is necessary to determine the probability of default by rating class. As a result, several statistical approaches can be used, such as logistic regression and linear discriminant analysis to express the relationship between the default and the financial, managerial and organizational characteristics of the enterprise. In this paper, we will propose a new approach to combine the linear discriminant analysis and the expert opinion by using the Bayesian approach. Indeed, we will build a rating model based on linear discriminant analysis and we will use the bayesian logic to determine the posterior probability of default by rating class. The reliability of experts’ estimates depends on the information collection process. As a result, we have defined an information collection approach that allows to reduce the imprecision of the estimates by using the Delphi method. The empirical study uses a portfolio of SMEs from a Moroccan bank. This permitted the construction of the statistical rating model and the associated Bayesian models; and to compare the capital requirement determined by these models.
format article
author Mohamed Habachi
Saâd Benbachir
author_facet Mohamed Habachi
Saâd Benbachir
author_sort Mohamed Habachi
title Combination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs
title_short Combination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs
title_full Combination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs
title_fullStr Combination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs
title_full_unstemmed Combination of linear discriminant analysis and expert opinion for the construction of credit rating models: The case of SMEs
title_sort combination of linear discriminant analysis and expert opinion for the construction of credit rating models: the case of smes
publisher Taylor & Francis Group
publishDate 2019
url https://doaj.org/article/52cbb9ffb62340f9a5f6acdd8e9a243e
work_keys_str_mv AT mohamedhabachi combinationoflineardiscriminantanalysisandexpertopinionfortheconstructionofcreditratingmodelsthecaseofsmes
AT saadbenbachir combinationoflineardiscriminantanalysisandexpertopinionfortheconstructionofcreditratingmodelsthecaseofsmes
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