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We construct a continuous time model for price-mediated contagion precipitated by a common exogenous stress to the banking book of all firms in the financial system. In this setting, firms are constrained so as to satisfy a risk-weight…

Mathematical Finance · Quantitative Finance 2019-08-23 Zachary Feinstein

In this paper, we propose a dynamical model to capture cascading failures among interconnected organizations in the global financial system. Failures can take the form of bankruptcies, defaults, and other insolvencies. The network that…

Optimization and Control · Mathematics 2023-11-13 Leonardo Stella , Dario Bauso , Franco Blanchini , Patrizio Colaneri

This paper presents a convenient framework for modeling default process and pricing derivative securities involving credit risk. The framework provides an integrated view of credit valuation adjustment by linking distance-to-default,…

Pricing of Securities · Quantitative Finance 2023-09-08 David Xiao

This paper studies an optimal investment and risk control problem for an insurer with default contagion and regime-switching. The insurer in our model allocates his/her wealth across multi-name defaultable stocks and a riskless bond under…

Mathematical Finance · Quantitative Finance 2018-07-17 Lijun Bo , Huafu Liao , Yongjin Wang

Weighted networks capture the structure of complex systems where interaction strength is meaningful. This information is essential to a large number of processes, such as threshold dynamics, where link weights reflect the amount of…

Physics and Society · Physics 2021-04-28 Samuel Unicomb , Gerardo Iñiguez , Márton Karsai

In this paper, we introduce an impact centrality measure to evaluate shock propagation on financial networks capturing a notion of contagion and systemic risk contributions, permitting comparisons of these risks over time. In addition, we…

Mathematical Finance · Quantitative Finance 2025-02-06 Agathe Sadeghi , Zachary Feinstein

We study an extension of Duncan Watts' 2002 model of information cascades in social networks where edge weights are taken to be random, an innovation motivated by recent applications of cascade analysis to systemic risk in financial…

Physics and Society · Physics 2012-11-27 T. R. Hurd , James P. Gleeson

We present a framework to calculate the cascade size evolution for a large class of cascade models on random network ensembles in the limit of infinite network size. Our method is exact and applies to network ensembles with almost arbitrary…

Physics and Society · Physics 2018-04-25 Rebekka Burkholz , Frank Schweitzer

We consider a large random network, in which the performance of a node depends upon that of its neighbours and some external random influence factors. This results in random vector valued fixed-point (FP) equations in large dimensional…

Probability · Mathematics 2022-12-14 Indrajit Saha , Veeraruna Kavitha

The study of systemic risk is often presented through the analysis of several measures referring to quantities used by practitioners and policy makers. Almost invariably, those measures evaluate the size of the impact that exogenous events…

Physics and Society · Physics 2023-04-13 Luka Klinčić , Vinko Zlatić , Guido Caldarelli , Hrvoje Štefančić

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

Cascading failures are a critical vulnerability of complex information or infrastructure networks. Here we investigate the properties of load-based cascading failures in real and synthetic spatially-embedded network structures, and propose…

Physics and Society · Physics 2017-09-21 Alaa Moussawi , Noemi Derzsy , Xin Lin , Boleslaw K. Szymanski , Gyorgy Korniss

Groups of enterprises can serve as guarantees for one another and form complex networks when obtaining loans from commercial banks. During economic slowdowns, corporate default may spread like a virus and lead to large-scale defaults or…

Risk Management · Quantitative Finance 2020-09-01 Zhibin Niu , Runlin Li , Junqi Wu , Dawei Cheng , Jiawan Zhang

We study binary state dynamics on a network where each node acts in response to the average state of its neighborhood. Allowing varying amounts of stochasticity in both the network and node responses, we find different outcomes in random…

Physics and Society · Physics 2014-07-09 Kameron Decker Harris , Christopher M. Danforth , Peter Sheridan Dodds

We study how large functional networks can grow stably under possible cascading overload failures and evaluated the maximum stable network size above which even a small-scale failure would cause a fatal breakdown of the network. Employing a…

Physics and Society · Physics 2017-11-01 Shogo Mizutaka , Kousuke Yakubo

We derive the default cascade model and the fire-sale spillover model in a unified interdependent framework. The interactions among banks include not only direct cross-holding, but also indirect dependency by holding mutual assets outside…

Risk Management · Quantitative Finance 2022-10-11 William A. Barnett , Xue Wang , Hai-Chuan Xu , Wei-Xing Zhou

As economic entities become increasingly interconnected, a shock in a financial network can provoke significant cascading failures throughout the system. To study the systemic risk of financial systems, we create a bi-partite banking…

General Finance · Quantitative Finance 2013-03-11 Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

Current epidemics in the biological and social domains are challenging the standard assumptions of mathematical contagion models. Chief among them are the complex patterns of transmission caused by heterogeneous group sizes and infection…

Physics and Society · Physics 2024-01-03 Guillaume St-Onge , Laurent Hébert-Dufresne , Antoine Allard

This study presents an ANWSER model (asset network systemic risk model) to quantify the risk of financial contagion which manifests itself in a financial crisis. The transmission of financial distress is governed by a heterogeneous bank…

Risk Management · Quantitative Finance 2016-11-17 Yoshiharu Maeno , Kenji Nishiguchi , Satoshi Morinaga , Hirokazu Matsushima

Threshold cascade models have been used to describe spread of behavior in social networks and cascades of default in financial networks. In some cases, these networks may have multiple kinds of interactions, such as distinct types of social…

Physics and Society · Physics 2016-10-05 Kyu-Min Lee , Charles D. Brummitt , K. -I. Goh
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