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Related papers: An Explicit Default Contagion Model and Its Applic…

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Can contagion be inferred from aggregated default data? We study this as a problem of identifiability, asking whether contagion generates components in default count distributions that remain distinct from those induced by macroeconomic…

Risk Management · Quantitative Finance 2026-05-12 Shintaro Mori

The risk of a credit portfolio depends crucially on correlations between the probability of default (PD) in different economic sectors. Often, PD correlations have to be estimated from relatively short time series of default rates, and the…

Statistical Mechanics · Physics 2008-12-02 Bernd Rosenow , Rafael Weissbach , Frank Altrock

As it is known in the finance risk and macroeconomics literature, risk-sharing in large portfolios may increase the probability of creation of default clusters and of systemic risk. We review recent developments on mathematical and…

Risk Management · Quantitative Finance 2015-02-20 Konstantinos Spiliopoulos

In the paper we study dynamics of the arbitrage prices of credit default swaps within a hazard process model of credit risk. We derive these dynamics without postulating that the immersion property is satisfied between some relevant…

Probability · Mathematics 2009-01-19 Tomasz R. Bielecki , Monique Jeanblanc , Marek Rutkowski

In the context of micro-finance, a group of individuals undertake business projects that may interfere with one another. A contagious default happens if one person's project failure leads to the default of another group member. In this…

Mathematical Finance · Quantitative Finance 2026-04-01 Héctor Jasso-Fuentes , Alejandra Quintos , Xinta Yang

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

We compare observed corporate cumulative default probabilities to those calculated using a stochastic model based on an extension of the work of Black and Cox and find that corporations default as if via diffusive dynamics. The model, based…

Soft Condensed Matter · Physics 2008-12-02 Ting Lei , Raymond J. Hawkins

In this paper we consider a reduced-form intensity-based credit risk model with a hidden Markov state process. A filtering method is proposed for extracting the underlying state given the observation processes. The method may be applied to…

Computational Finance · Quantitative Finance 2016-03-10 Feng-Hui Yu , Wai-Ki Ching , Jia-Wen Gu , Tak-Kuen Siu

This paper considers mutual obligations in the interconnected bank system and analyzes their influence on joint and marginal survival probabilities as well as CDS and FTD prices for the individual banks. To make the role of mutual…

Pricing of Securities · Quantitative Finance 2015-05-11 Andrey Itkin , Alexander Lipton

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

In this paper, we propose a two-sector Markovian infectious model, which is an extension of Greenwood's model. The central idea of this model is that the causality of defaults of two sectors is in both direction, which enrich dependence…

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

We introduce a dynamic model of the default waterfall of derivatives CCPs and propose a risk sensitive method for sizing the initial margin (IM), and the default fund (DF) and its allocation among clearing members. Using a Markovian…

Risk Management · Quantitative Finance 2018-03-07 Tomasz R. Bielecki , Igor Cialenco , Shibi Feng

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…

Computational Finance · Quantitative Finance 2017-01-03 Vadim Kaushansky , Alexander Lipton , Christoph Reisinger

We develop a structural default model for interconnected financial institutions in a probabilistic framework. For all possible network structures we characterize the joint default distribution of the system using Bayesian network…

Risk Management · Quantitative Finance 2018-07-02 Carsten Chong , Claudia Klüppelberg

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…

Risk Management · Quantitative Finance 2016-01-11 Dirk Tasche

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

We propose a model and an estimation technique to distinguish systemic risk and contagion in credit risk. The main idea is to assume, for a set of $d$ obligors, a set of $d$ idiosyncratic shocks and a shock that triggers the default of all…

Mathematical Finance · Quantitative Finance 2015-02-09 Umberto Cherubini , Sabrina Mulinacci

Transition risk can be defined as the business-risk related to the enactment of green policies, aimed at driving the society towards a sustainable and low-carbon economy. In particular, the value of certain firms' assets can be lower…

Pricing of Securities · Quantitative Finance 2023-03-23 Giulia Livieri , Davide Radi , Elia Smaniotto

The issue of model risk in default modeling has been known since inception of the Academic literature in the field. However, a rigorous treatment requires a description of all the possible models, and a measure of the distance between a…

Mathematical Finance · Quantitative Finance 2019-06-17 Roberto Fontana , Elisa Luciano , Patrizia Semeraro

We propose a model which can be jointly calibrated to the corporate bond term structure and equity option volatility surface of the same company. Our purpose is to obtain explicit bond and equity option pricing formulas that can be…

Computational Engineering, Finance, and Science · Computer Science 2008-09-21 Erhan Bayraktar , Bo Yang