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We contribute to the understanding of how systemic risk arises in a network of credit-interlinked agents. Motivated by empirical studies we formulate a network model which, despite its simplicity, depicts the nature of interbank markets…

Risk Management · Quantitative Finance 2014-06-26 Oliver Kley , Claudia Klüppelberg , Lukas Reichel

A financial system contains many elements networked by their relationships. Extensive works show that topological structure of the network stores rich information on evolutionary behaviors of the system such as early warning signals of…

Statistical Finance · Quantitative Finance 2018-05-09 Li Zhou , Lu Qiu , Changgui Gu , Huijie Yang

This paper presents a dynamic game framework to analyze the role of large banks in interbank markets. By extending existing models, we incorporate a large bank as a dynamic decision-maker interacting with multiple small banks. Using the…

Mathematical Finance · Quantitative Finance 2025-04-22 Yuanyuan Chang , Dena Firoozi , David Benatia

Management of systemic risk in financial markets is traditionally associated with setting (higher) capital requirements for market participants. There are indications that while equity ratios have been increased massively since the…

Computational Finance · Quantitative Finance 2019-05-16 Christian Diem , Anton Pichler , Stefan Thurner

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

This paper introduces a formulation of the optimal network compression problem for financial systems. This general formulation is presented for different levels of network compression or rerouting allowed from the initial interbank network.…

Risk Management · Quantitative Finance 2022-07-14 Hamed Amini , Zachary Feinstein

Failure statistics of banks in the US show that their sizes are highly unequal (ranging from a few tens of thousands to over a billion dollars) and also, they come in `waves' of intermittent activities. This motivates a self-organized…

Physics and Society · Physics 2024-01-11 Soumyajyoti Biswas , Bikas K. Chakrabarti

Realistic credit risk assessment, the estimation of losses from counterparty's failure, is central for the financial stability. Credit risk models focus on the financial conditions of borrowers and only marginally consider other risks from…

Statistical Finance · Quantitative Finance 2023-05-09 Zlata Tabachová , Christian Diem , András Borsos , Csaba Burger , Stefan Thurner

Power grids, road maps, and river streams are examples of infrastructural networks which are highly vulnerable to external perturbations. An abrupt local change of load (voltage, traffic density, or water level) might propagate in a…

Physics and Society · Physics 2014-05-23 Enys Mones , Nuno A. M. Araújo , Tamás Vicsek , Hans J. Herrmann

The structure of many financial networks is protected by privacy and has to be inferred from aggregate observables. Here we consider one of the most successful network reconstruction methods, producing random graphs with desired link…

Physics and Society · Physics 2024-03-21 Andrea Gabrielli , Valentina Macchiati , Diego Garlaschelli

The rank of neural networks measures information flowing across layers. It is an instance of a key structural condition that applies across broad domains of machine learning. In particular, the assumption of low-rank feature representations…

Machine Learning · Computer Science 2022-06-14 Ruili Feng , Kecheng Zheng , Yukun Huang , Deli Zhao , Michael Jordan , Zheng-Jun Zha

Interbank lending and borrowing occur when financial institutions seek to settle and refinance their mutual positions over time and circumstances. This interactive process involves money creation at the aggregate level. Coordination…

General Finance · Quantitative Finance 2021-09-27 Yuri Biondi , Feng Zhou

This chapter reviews key contributions of complexity science to the study of systemic risk in financial systems. The focus is on network models of financial contagion, where I explore various mechanisms of shock propagation, such as…

Physics and Society · Physics 2025-02-21 Fabio Caccioli

Economic integration, globalization and financial crises represent examples of processes whose understanding requires the analysis of the underlying network structure. Of particular interest is establishing whether a real economic network…

General Finance · Quantitative Finance 2016-01-06 Tiziano Squartini , Diego Garlaschelli

In normal times, it is assumed that financial institutions operating in non-overlapping sectors have complementary and distinct outcomes, typically reflected in mostly uncorrelated outcomes and asset returns. Such is the reasoning behind…

General Economics · Economics 2021-01-19 Sayuj Choudhari , Richard Licheng Zhu

We study insolvency cascades in an interbank system when banks are allowed to insure their loans with credit default swaps (CDS) sold by other banks. We show that, by properly shifting financial exposures from one institution to another, a…

Risk Management · Quantitative Finance 2017-10-16 Matt V. Leduc , Sebastian Poledna , Stefan Thurner

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

Understanding disaggregate channels in the transmission of monetary policy is of crucial importance for effectively implementing policy measures. We extend the empirical econometric literature on the role of production networks in the…

Econometrics · Economics 2020-09-11 Niko Hauzenberger , Michael Pfarrhofer

We study the formation of an optimal interbank network in a model where banks control both their supply of liquidity, through cash reserves, and their exposures to other banks' risky projects. The value of each bank's project may suddenly…

Mathematical Finance · Quantitative Finance 2024-10-08 Daniel E. Rigobon , Ronnie Sircar

We study the mean field approximation of a recent model of cascades on networks relevant to the investigation of systemic risk control in financial networks. In the model, the hypothesis of a trend reinforcement in the stochastic process…

Physics and Society · Physics 2007-11-13 Jan Lorenz , Stefano Battiston