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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

Financial networks are characterized by complex structures of mutual obligations. These obligations are fulfilled entirely or in part (when defaults occur) via a mechanism called clearing, which determines a set of payments that settle the…

Optimization and Control · Mathematics 2025-10-09 Giuseppe Calafiore , Giulia Fracastoro , Anton V. Proskurnikov

The interbank market has a natural multiplex network representation. We employ a unique database of supervisory reports of Italian banks to the Banca d'Italia that includes all bilateral exposures broken down by maturity and by the secured…

General Finance · Quantitative Finance 2013-11-20 Leonardo Bargigli , Giovanni di Iasio , Luigi Infante , Fabrizio Lillo , Federico Pierobon

We consider a random financial network with a large number of agents. The agents connect through credit instruments borrowed from each other or through direct lending, and these create the liabilities. The settlement of the debts of various…

General Finance · Quantitative Finance 2021-04-06 Indrajit Saha , Veeraruna Kavitha

In the new field of financial systemic risk, the network of interbank counterparty relationships can be described as a directed random graph. In "cascade models" of systemic risk, this "skeleton" acts as the medium through which financial…

Probability · Mathematics 2015-12-11 T. R. Hurd

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

Networks of financial exposures are the key propagators of risk and distress among banks, but their empirical structure is not publicly available because of confidentiality. This limitation has triggered the development of methods of…

Risk Management · Quantitative Finance 2024-08-07 Valentina Macchiati , Piero Mazzarisi , Diego Garlaschelli

Excessive leverage, i.e. the abuse of debt financing, is considered one of the primary factors in the default of financial institutions. Systemic risk results from correlations between individual default probabilities that cannot be…

Risk Management · Quantitative Finance 2013-03-25 Paolo Tasca , Pavlin Mavrodiev , Frank Schweitzer

The abundance of data about social relationships allows the human behavior to be analyzed as any other natural phenomenon. Here we focus on balance theory, stating that social actors tend to avoid establishing cycles with an odd number of…

Physics and Society · Physics 2024-05-15 Anna Gallo , Diego Garlaschelli , Renaud Lambiotte , Fabio Saracco , Tiziano Squartini

We consider thin incomplete financial markets, where traders with heterogeneous preferences and risk exposures have motive to behave strategically regarding the demand schedules they submit, thereby impacting prices and allocations. We…

Mathematical Finance · Quantitative Finance 2018-06-22 Michail Anthropelos , Constantinos Kardaras , Georgios Vichos

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 theory of multilayer networks is in its early stages, and its development provides vital methods for understanding complex systems. Multilayer networks, in their multiplex form, have been introduced within the last three years to…

Computational Finance · Quantitative Finance 2017-04-04 Antoaneta Serguieva

Systemic risk in banking systems remains a crucial issue that it has not been completely understood. In our toy model, banks are exposed to two sources of risks, namely, market risk from their investments in assets external to the banking…

Risk Management · Quantitative Finance 2017-02-24 Aki-Hiro Sato , Paolo Tasca , Takashi Isogai

We consider two market designs for a network of prosumers, trading energy: (i) a centralized design which acts as a benchmark, and (ii) a peer-to-peer market design. High renewable energy penetration requires that the energy market design…

Computer Science and Game Theory · Computer Science 2020-04-07 Ilia Shilov , Hélène Le Cadre , Ana Busic

We introduce a probabilistic framework that represents stylized banking networks with the aim of predicting the size of contagion events. Most previous work on random financial networks assumes independent connections between banks, whereas…

Physics and Society · Physics 2017-04-12 Thomas R. Hurd , James P. Gleeson , Sergey Melnik

Modern financial networks exhibit a high degree of interconnectedness and determining the causes of instability and contagion in financial networks is necessary to inform policy and avoid future financial collapse. In the American Economic…

Computational Finance · Quantitative Finance 2016-10-26 Brett Hemenway , Sanjeev Khanna

We study how network structure affects the dynamics of collateral in presence of rehypothecation. We build a simple model wherein banks interact via chains of repo contracts and use their proprietary collateral or re-use the collateral…

Risk Management · Quantitative Finance 2018-02-07 Duc Thi Luu , Mauro Napoletano , Paolo Barucca , Stefano Battiston

Structural balance theory has been developed in sociology and psychology to explain how interacting agents, e.g., countries, political parties, opinionated individuals, with mixed trust and mistrust relationships evolve into polarized…

Social and Information Networks · Computer Science 2016-05-27 Weiguo Xia , Ming Cao , Karl Henrik Johansson

Systemic financial risk refers to the simultaneous failure or destabilization of multiple financial institutions, often triggered by contagion mechanisms or common exposures to shocks. In this paper, we present a dynamical model of bank…

Dynamical Systems · Mathematics 2026-03-31 Marco Ioffredi , Stefano Marmi , Matteo Tanzi

We study the impact of central clearing of over-the-counter (OTC) transactions on counterparty exposures in a market with OTC transactions across several asset classes with heterogeneous characteristics. The impact of introducing a central…

Risk Management · Quantitative Finance 2014-03-13 Rama Cont , Thomas Kokholm
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