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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…

Risk Management · Quantitative Finance 2015-03-20 Simone Farinelli , Mykhaylo Shkolnikov

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…

Computational Finance · Quantitative Finance 2015-05-30 Yuri A. Katz

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…

Risk Management · Quantitative Finance 2020-10-07 Meng-Jou Lu , Cathy Yi-Hsuan Chen , Wolfgang Karl Härdle

The existence of asymmetric information has always been a major concern for financial institutions. Financial intermediaries such as commercial banks need to study the quality of potential borrowers in order to make their decision on…

Statistical Finance · Quantitative Finance 2017-07-05 Jinglun Yao , Maxime Levy-Chapira , Mamikon Margaryan

We develop a dynamic point process model of correlated default timing in a portfolio of firms, and analyze typical default profiles in the limit as the size of the pool grows. In our model, a firm defaults at a stochastic intensity that is…

Risk Management · Quantitative Finance 2013-02-13 Kay Giesecke , Konstantinos Spiliopoulos , Richard B. Sowers

Risk-averse investors often wish to exclude stocks from their portfolios that bear high credit risk, which is a measure of a firm's likelihood of bankruptcy. This risk is commonly estimated by constructing signals from quarterly accounting…

Computational Finance · Quantitative Finance 2025-03-06 Maksim Papenkov , Beau Robinette

According to theoretical models of valuing risky corporate securities, risk of default is primary component in overall yield spread. However, sizable empirical literature considers it otherwise by giving more importance to non-default risk…

Pricing of Securities · Quantitative Finance 2013-03-15 Syed Muhammad Noaman Ahmed Shah , Mazen Kebewar

We develop a generalization of the Black-Cox structural model of default risk. The extended model captures uncertainty related to firm's ability to avoid default even if company's liabilities momentarily exceeding its assets. Diffusion in a…

Risk Management · Quantitative Finance 2011-01-05 Yuri A. Katz , Nikolai V. Shokhirev

This article extends the autoregressive count time series model class by allowing for a model with regimes, that is, some of the parameters in the model depend on the state of an unobserved Markov chain. We develop a quasi-maximum…

Methodology · Statistics 2018-04-26 Geir D. Berentsen , Jan Bulla , Antonello Maruotti , Bård Støve

The modeling of the probability of joint default or total number of defaults among the firms is one of the crucial problems to mitigate the credit risk since the default correlations significantly affect the portfolio loss distribution and…

Risk Management · Quantitative Finance 2022-08-08 Puneet Pasricha , Dharmaraja Selvamuthu , Selvaraju Natarajan

Measuring the corporate default risk is broadly important in economics and finance. Quantitative methods have been developed to predictively assess future corporate default probabilities. However, as a more difficult yet crucial problem,…

Applications · Statistics 2018-04-26 Miao Yuan , Cheng Yong Tang , Yili Hong , Jian Yang

We present a simple model of firm rating evolution. We consider two sources of defaults: individual dynamics of economic development and Potts-like interactions between firms. We show that such a defined model leads to phase transition,…

Risk Management · Quantitative Finance 2015-05-13 Paweł Sieczka , Janusz A. Hołyst

Corporate defaults may be triggered by some major market news or events such as financial crises or collapses of major banks or financial institutions. With a view to develop a more realistic model for credit risk analysis, we introduce a…

Computational Finance · Quantitative Finance 2013-01-03 Jia-Wen Gu , Wai-Ki Ching , Tak-Kuen Siu , Harry Zheng

In this paper, we deal with an axiomatic approach to default risk. We introduce the notion of a default risk measure, which generalizes the classical probability of default (PD), and allows to incorporate model risk in various forms. We…

Mathematical Finance · Quantitative Finance 2023-09-21 Max Nendel , Jan Streicher

In this paper, we propose a method that provides a useful technique to compare relationship between risks involved that takes customer become defaulter and debt collection process that might make this defaulter recovered. Through estimation…

Applications · Statistics 2014-08-20 Mauro R. Oliveira , Francisco Louzada

We present a general framework for the estimation of corporate default based on a firm's capital structure, when its assets are assumed to follow a pure jump L\'evy processes; this setup provides a natural extension to usual default metrics…

Pricing of Securities · Quantitative Finance 2021-08-13 Jean-Philippe Aguilar , Nicolas Pesci , Victor James

In the aftermath of the global financial crisis, much attention has been paid to investigating the appropriateness of the current practice of default risk modeling in banking, finance and insurance industries. A recent empirical study by…

Computational Finance · Quantitative Finance 2013-06-28 Jia-Wen Gu , Bo Jiang , Wai-Ki Ching , Harry Zheng

In this short paper, we study the simulation of a large system of stochastic processes subject to a common driving noise and fast mean-reverting stochastic volatilities. This model may be used to describe the firm values of a large pool of…

Numerical Analysis · Mathematics 2021-10-13 Andrei Cozma , Christoph Reisinger

This paper develops a structural credit risk model to characterize the difference between the economic and recorded default times for a firm. Recorded default occurs when default is recorded in the legal system. The economic default time is…

Risk Management · Quantitative Finance 2015-03-17 Xin Guo , Robert A Jarrow , Adrien de Larrard

We investigate the impact of available information on the estimation of the default probability within a generalized structural model for credit risk. The traditional structural model where default is triggered when the value of the firm's…

Pricing of Securities · Quantitative Finance 2019-11-19 Imke Redeker , Ralf Wunderlich
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