dorsal/arxiv
View SchemaValidation of internal rating systems and PD estimates
| Authors | Dirk Tasche |
|---|---|
| Categories | |
| ArXiv ID | physics/0606071 |
| URL | https://arxiv.org/abs/physics/0606071 |
Abstract
This paper elaborates on the validation requirements for rating systems and probabilities of default (PDs) which were introduced with the New Capital Standards (Basel II). We start in Section 2 with some introductory remarks on the topics and approaches that will be discussed later on. Then we have a view on the developments in banking regulation that have enforced the interest of the public in validation techniques. When doing so, we put the main emphasis on the issues with quantitative validation. The techniques discussed here could be used in order to meet the quantitative regulatory requirements. However, their appropriateness will depend on the specific conditions under which they are applied. In order to have a common ground for the description of the different techniques, we introduce in Section 3 a theoretical framework that will be the basis for the further considerations. Intuitively, a good rating system should show higher probabilities of default for the less creditworthy rating grades. Therefore, in Section 4, we discuss how this monotonicity property is reflected in the theoretical framework from Section 3. In Section 5, we study the meaning of discriminatory power and some tools for measuring it in some detail. We will see that there are tools that might be more appropriate than others for the purpose of regulatory validation of discriminatory power. The topic in Section 6 is calibration of rating systems. We introduce some of the tests that can be used for checking correct calibration and discuss the properties of the different tests. We then conclude in Section 7 with some comments on the question which tools might be most appropriate for quantitative validation of rating systems and probabilities of default.
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"abstract": "This paper elaborates on the validation requirements for rating systems and\nprobabilities of default (PDs) which were introduced with the New Capital\nStandards (Basel II). We start in Section 2 with some introductory remarks on\nthe topics and approaches that will be discussed later on. Then we have a view\non the developments in banking regulation that have enforced the interest of\nthe public in validation techniques. When doing so, we put the main emphasis on\nthe issues with quantitative validation. The techniques discussed here could be\nused in order to meet the quantitative regulatory requirements. However, their\nappropriateness will depend on the specific conditions under which they are\napplied. In order to have a common ground for the description of the different\ntechniques, we introduce in Section 3 a theoretical framework that will be the\nbasis for the further considerations. Intuitively, a good rating system should\nshow higher probabilities of default for the less creditworthy rating grades.\nTherefore, in Section 4, we discuss how this monotonicity property is reflected\nin the theoretical framework from Section 3. In Section 5, we study the meaning\nof discriminatory power and some tools for measuring it in some detail. We will\nsee that there are tools that might be more appropriate than others for the\npurpose of regulatory validation of discriminatory power. The topic in Section\n6 is calibration of rating systems. We introduce some of the tests that can be\nused for checking correct calibration and discuss the properties of the\ndifferent tests. We then conclude in Section 7 with some comments on the\nquestion which tools might be most appropriate for quantitative validation of\nrating systems and probabilities of default.",
"arxiv_id": "physics/0606071",
"authors": [
"Dirk Tasche"
],
"categories": [
"physics.soc-ph",
"q-fin.RM"
],
"title": "Validation of internal rating systems and PD estimates",
"url": "https://arxiv.org/abs/physics/0606071"
},
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