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The current research on credit risk is primarily focused on modeling default probabilities. Recovery rates are often treated as an afterthought; they are modeled independently, in many cases they are even assumed constant. This is despite…

风险管理 · 定量金融 2012-10-16 Rudi Schäfer , Alexander F. R. Koivusalo

While defaults are rare events, losses can be substantial even for credit portfolios with a large number of contracts. Therefore, not only a good evaluation of the probability of default is crucial, but also the severity of losses needs to…

风险管理 · 定量金融 2012-03-15 Alexander Becker , Alexander F. R. Koivusalo , Rudi Schäfer

A standard quantitative method to access credit risk employs a factor model based on joint multivariate normal distribution properties. By extending a one-factor Gaussian copula model to make a more accurate default forecast, this paper…

风险管理 · 定量金融 2020-10-07 Meng-Jou Lu , Cathy Yi-Hsuan Chen , Wolfgang Karl Härdle

In structural credit risk models, default events and the ensuing losses are both derived from the asset values at maturity. Hence it is of utmost importance to choose a distribution for these asset values which is in accordance with…

风险管理 · 定量金融 2016-01-13 Thilo A. Schmitt , Rudi Schäfer , Thomas Guhr

We review recent progress in modeling credit risk for correlated assets. We start from the Merton model which default events and losses are derived from the asset values at maturity. To estimate the time development of the asset values, the…

风险管理 · 定量金融 2018-03-02 Andreas Mühlbacher , Thomas Guhr

There is empirical evidence that recovery rates tend to go down just when the number of defaults goes up in economic downturns. This has to be taken into account in estimation of the capital against credit risk required by Basel II to cover…

风险管理 · 定量金融 2014-11-03 Pavel V. Shevchenko , Xiaolin Luo

It is a well known fact that recovery rates tend to go down when the number of defaults goes up in economic downturns. We demonstrate how the loss given default model with the default and recovery dependent via the latent systematic risk…

风险管理 · 定量金融 2014-11-03 Xiaolin Luo , Pavel V. Shevchenko

The study of loss function distributions is critical to characterize a model's behaviour on a given machine learning problem. For example, while the quality of a model is commonly determined by the average loss assessed on a testing set,…

机器学习 · 计算机科学 2023-06-06 Etrit Haxholli , Marco Lorenzi

We propose two structural models for stochastic losses given default which allow to model the credit losses of a portfolio of defaultable financial instruments. The credit losses are integrated into a structural model of default events…

风险管理 · 定量金融 2015-03-20 Simone Farinelli , Mykhaylo Shkolnikov

The two main approaches in credit risk are the structural approach pioneered in Merton (1974) and the reduced-form framework proposed in Jarrow & Turnbull (1995) and in Artzner & Delbaen (1995). The goal of this article is to provide a…

数理金融 · 定量金融 2015-07-14 Frank Gehmlich , Thorsten Schmidt

The lifetime behaviour of loans is notoriously difficult to model, which can compromise a bank's financial reserves against future losses, if modelled poorly. Therefore, we present a data-driven comparative study amongst three techniques in…

风险管理 · 定量金融 2026-04-22 Arno Botha , Tanja Verster , Roland Breedt

The impact of a stress scenario of default events on the loss distribution of a credit portfolio can be assessed by determining the loss distribution conditional on these events. While it is conceptually easy to estimate loss distributions…

风险管理 · 定量金融 2016-01-11 Dirk Tasche

Evaluation of default correlation is an important task in credit risk analysis. In many practical situations, it concerns the joint defaults of several correlated firms, the task that is reducible to a first passage time (FPT) problem. This…

计算工程、金融与科学 · 计算机科学 2025-10-20 Di Zhang , Roderick V. N. Melnik

We present a class of flexible and tractable static factor models for the term structure of joint default probabilities, the factor copula models. These high-dimensional models remain parsimonious with pair-copula constructions, and nest…

数理金融 · 定量金融 2018-01-19 Damien Ackerer , Thibault Vatter

We give a comprehensive review of credit term structure modeling methodologies. The conventional approach to modeling credit term structure is summarized and shown to be equivalent to a particular type of the reduced form credit risk model,…

证券定价 · 定量金融 2009-12-29 Arthur M. Berd

We consider a structural default model in an interconnected banking network as in Lipton [International Journal of Theoretical and Applied Finance, 19(6), 2016], with mutual obligations between each pair of banks. We analyse the model…

计算金融 · 定量金融 2017-01-03 Vadim Kaushansky , Alexander Lipton , Christoph Reisinger

In risk management, tail risks are of crucial importance. The quality of a tail model, which is determined by data from an unknown distribution, depends critically on the subset of data used to model the tail. Based on a suitably weighted…

统计方法学 · 统计学 2021-01-19 Ingo Hoffmann , Christoph J. Börner

Diffusion in a linear potential in the presence of position-dependent killing is used to mimic a default process. Different assumptions regarding transport coefficients, initial conditions, and elasticity of the killing measure lead to…

计算金融 · 定量金融 2015-05-30 Yuri A. Katz

We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations…

风险管理 · 定量金融 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

Accurately assessing financial risk requires capturing both individual asset volatility and the complex, asymmetric dependence structures that emerge during extreme market events. While modern diffusion-based models have advanced…

机器学习 · 统计学 2026-05-20 David Huk , Dongshan Wang , Miha Bresar
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