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We introduce a dynamic and stochastic interbank model with an endogenous notion of distress contagion, arising from rational worries about future defaults and ensuing losses. This entails a mark-to-market valuation adjustment for interbank…

Mathematical Finance · Quantitative Finance 2025-02-27 Zachary Feinstein , Andreas Sojmark

We provide an overview of the relationship between financial networks and systemic risk. We present a taxonomy of different types of systemic risk, differentiating between direct externalities between financial organizations (e.g.,…

Risk Management · Quantitative Finance 2020-12-24 Matthew O. Jackson , Agathe Pernoud

We consider a dynamic model of interconnected banks. New banks can emerge, and existing banks can default, creating a birth-and-death setup. Microscopically, banks evolve as independent geometric Brownian motions. Systemic effects are…

Probability · Mathematics 2019-05-28 Tomoyuki Ichiba , Michael Ludkovski , Andrey Sarantsev

We discuss the systemic risk implied by the interbank exposures reconstructed with the maximum entropy method. The maximum entropy method severely underestimates the risk of interbank contagion by assuming a fully connected network, while…

Risk Management · Quantitative Finance 2017-03-16 M. Andrecut

We analyse the importance of international relations between countries on the financial stability. The contagion effect in the network is tested by implementing an epidemiological model, comprising a number of European countries and using…

Physics and Society · Physics 2019-01-23 Olena Kostylenko , Helena Sofia Rodrigues , Delfim F. M. Torres

The question of how to stabilize financial systems has attracted considerable attention since the global financial crisis of 2007-2009. Recently, Beale et al. ("Individual versus systemic risk and the regulator's dilemma", Proc Natl Acad…

Risk Management · Quantitative Finance 2014-01-30 Teruyoshi Kobayashi

It had been believed in the conventional practice that the risk of a bank going bankrupt is lessened in a straightforward manner by transferring the risk of loan defaults. But the failure of American International Group in 2008 posed a more…

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

The global financial system has become highly connected and complex. Has been proven in practice that existing models, measures and reports of financial risk fail to capture some important systemic dimensions. Only lately, advisory boards…

Risk Management · Quantitative Finance 2011-12-07 Michalis Vafopoulos

Ideas, behaviors, and opinions spread through social networks. If the probability of spreading to a new individual is a non-linear function of the fraction of the individuals' affected neighbors, such a spreading process becomes a "complex…

Physics and Society · Physics 2023-08-30 Julian Kates-Harbeck , Michael M. Desai

We develop a novel stress-test framework to monitor systemic risk in financial systems. The modular structure of the framework allows to accommodate for a variety of shock scenarios, methods to estimate interbank exposures and mechanisms of…

Risk Management · Quantitative Finance 2016-02-23 Stefano Battiston , Marco D'Errico , Stefano Gurciullo , Guido Caldarelli

The field of Financial Networks is a paramount example of the novel applications of Statistical Physics that have made possible by the present data revolution. As the total value of the global financial market has vastly outgrown the value…

We study contagion and systemic risk in sparse financial networks with balance-sheet interactions on a directed random graph. Each institution has homogeneous liabilities and equity, and exposures along outgoing edges are split equally…

Mathematical Finance · Quantitative Finance 2026-01-08 Riley James Bendel

Global catastrophic risk events, such as nuclear war, pose a severe threat to the stability of international financial systems. As evidenced by even less severe scenarios like the Great Recession, an economic failure can propagate through…

Physics and Society · Physics 2025-02-19 Łukasz G. Gajewski , Michael Hinge , David Denkenberger

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

Financial contagion from liquidity shocks has being recently ascribed as a prominent driver of systemic risk in interbank lending markets. Building on standard compartment models used in epidemics, in this work we develop an EDB…

Risk Management · Quantitative Finance 2018-05-23 Giuseppe Brandi , Riccardo Di Clemente , Giulio Cimini

In this research, we introduce a robust metric to identify Systemically Important Financial Institution (SIFI) in a financial network by taking into account both common idiosyncratic shocks and contagion through counterparty exposures. We…

Risk Management · Quantitative Finance 2017-02-23 Amirhossein Sadoghi

Interbank deposits (loans and credits) are quite common in banking system all over the world. Such interbank co-operation is profitable for banks but it can also lead to collective financial failures. In this paper we introduce a new model…

Statistical Mechanics · Physics 2009-11-07 A. Aleksiejuk , J. A. Holyst

Random networks are a powerful tool in the analytical modeling of complex networks as they allow us to write approximate mathematical models for diverse properties and behaviors of networks. One notable shortcoming of these models is that…

Physics and Society · Physics 2023-07-10 Laurent Hébert-Dufresne , Márton Pósfai , Antoine Allard

This paper provides a general framework for modeling financial contagion in a system with obligations in multiple illiquid assets (e.g., currencies). In so doing, we develop a multi-layered financial network that extends the single network…

Risk Management · Quantitative Finance 2019-05-24 Zachary Feinstein

Models of threshold driven contagion explain the cascading spread of information, behavior, systemic risk, and epidemics on social, financial and biological networks. At odds with empirical observation, these models predict that…

Physics and Society · Physics 2019-10-23 Samuel Unicomb , Gerardo Iñiguez , János Kertész , Márton Karsai
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