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Interbank contagion can theoretically exacerbate losses in a financial system and lead to additional cascade defaults during downturn. In this paper we produce default analysis using both regression and neural network models to verify…

Risk Management · Quantitative Finance 2020-05-29 Riccardo Doyle

In this paper we propose a new nonparametric approach to interacting failing systems (FS), that is systems whose probability of failure is not negligible in a fixed time horizon, a typical example being firms and financial bonds. The main…

Applications · Statistics 2010-10-19 Pasquale Cirillo , Jürg Hüsler , Pietro Muliere

Controllers are often designed based on a reduced or simplified model of the plant dynamics. In this context, we investigate whether it is possible to synthesize a stabilizing event-triggered feedback law for networked control systems (NCS)…

Systems and Control · Computer Science 2014-08-26 Mahmoud Abdelrahim , Romain Postoyan , Jamal Daafouz

This work introduces a flexible and versatile method for the data-efficient yet conservative transmission of covariance matrices, where a matrix element is only transmitted if a so-called triggering condition is satisfied for the element.…

Robotics · Computer Science 2024-03-12 Christopher Funk , Benjamin Noack

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…

Risk Management · Quantitative Finance 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

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

The utility-based pricing of defaultable bonds in the case of stochastic intensity models of default risk is discussed. The Hamilton-Jacobi- Bellman (HJB) equations for the value functions is derived. A finite difference method is used to…

Computational Finance · Quantitative Finance 2010-03-23 Regis Houssou , Olivier Besson

The event-triggered control problem over lossy communication networks is addressed in this paper. Although packet dropouts have been considered in the implementation of event-triggered controllers, the assumption of protocols that employ…

Optimization and Control · Mathematics 2020-07-31 Eloy Garcia , Panos J. Antsaklis

The standard intensity-based approach for modeling defaults is generalized by making the deterministic term structure of the survival probability stochastic via a common jump process. The survival copula of the vector of default times is…

Probability · Mathematics 2010-08-16 Marius Hofert , Frederic Vrins

We propose a new model of the liquidity driven banking system focusing on overnight interbank loans. This significant branch of the interbank market is commonly neglected in the banking system modeling and systemic risk analysis. We…

Economics · Quantitative Finance 2016-03-17 Paweł Smaga , Mateusz Wiliński , Piotr Ochnicki , Piotr Arendarski , Tomasz Gubiec

In this paper, we introduce a model that adds a non-linearity to discounting: the discounting factor may depend on the notional (i.e., discounted values are no longer linear in the notional). In the first part of the paper, we provide a…

Mathematical Finance · Quantitative Finance 2021-10-26 Christian P. Fries

Filiz et al. (2008) proposed a model for the pattern of defaults seen among a group of firms at the end of a given time period. The ingredients in the model are a graph, where the vertices correspond to the firms and the edges describe the…

Computational Finance · Quantitative Finance 2010-08-16 Steven N. Evans , Alexandru Hening

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…

Risk Management · Quantitative Finance 2012-03-15 Alexander Becker , Alexander F. R. Koivusalo , Rudi Schäfer

We develop and test a fast and accurate semi-analytical formula for single-name default swaptions in the context of a shifted square root jump diffusion (SSRJD) default intensity model. The model can be calibrated to the CDS term structure…

Pricing of Securities · Quantitative Finance 2008-12-23 Damiano Brigo , Naoufel El-Bachir

We analyze the fluctuation of the loss from default around its large portfolio limit in a class of reduced-form models of correlated firm-by-firm default timing. We prove a weak convergence result for the fluctuation process and use it for…

Probability · Mathematics 2015-02-20 Konstantinos Spiliopoulos , Justin A. Sirignano , Kay Giesecke

We present the qGaussian generalization of the Merton framework, which takes into account slow fluctuations of the volatility of the firms market value of financial assets. The minimal version of the model depends on the Tsallis entropic…

Risk Management · Quantitative Finance 2014-10-28 Yuri A. Katz

A multi-dimensional extension of the structural default model with firms' values driven by diffusion processes with Marshall-Olkin-inspired correlation structure is presented. Semi-analytical methods for solving the forward calibration…

Pricing of Securities · Quantitative Finance 2012-06-15 Alexander Lipton , Ioana Savescu

We propose a unified structural credit risk model incorporating both insolvency and illiquidity risks, in order to investigate how a firm's default probability depends on the liquidity risk associated with its financing structure. We assume…

Risk Management · Quantitative Finance 2015-04-01 Gechun Liang , Eva Lütkebohmert , Wei Wei

In this paper we propose a simple and efficient method to compute the ordered default time distributions in both the homogeneous case and the two-group heterogeneous case under the interacting intensity default contagion model. We give the…

Pricing of Securities · Quantitative Finance 2012-04-19 Jia-Wen Gu , Wai-Ki Ching , Tak-Kuen Siu , Harry Zheng

We address challenges in variable selection with highly correlated data that are frequently present in finance, economics, but also in complex natural systems as e.g. weather. We develop a robustified version of the knockoff framework,…

Econometrics · Economics 2022-06-14 Konstantin Görgen , Abdolreza Nazemi , Melanie Schienle
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