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In this paper we study the distributional properties of a vector of lifetimes in which each lifetime is modeled as the first arrival time between an idiosyncratic shock and a common systemic shock. Despite unlike the classical…

Mathematical Finance · Quantitative Finance 2017-04-17 Sabrina Mulinacci

We present a network-based framework for simulating systemic risk that considers shock propagation in banking systems. In particular, the framework allows the modeller to reflect a top-down framework where a shock to one bank in the system…

Risk Management · Quantitative Finance 2018-11-13 Nadine M Walters , Conrad Beyers , Gusti van Zyl , Rolf van den Heever

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

Systemic risk is a rapidly developing area of research. Classical financial models often do not adequately reflect the phenomena of bubbles, crises, and transitions between them during credit cycles. To study very improbable events,…

Mathematical Finance · Quantitative Finance 2023-05-11 Kamil Fortuna , Janusz Szwabiński

We address a fundamental problem that is systematically encountered when modeling complex systems: the limitedness of the information available. In the case of economic and financial networks, privacy issues severely limit the information…

Physics and Society · Physics 2015-12-07 Giulio Cimini , Tiziano Squartini , Diego Garlaschelli , Andrea Gabrielli

Banking system crises are complex events that in a short span of time can inflict extensive damage to banks themselves and to the external economy. The crisis literature has so far identified a number of distinct effects or channels that…

General Finance · Quantitative Finance 2017-11-16 T. R. Hurd

For centuries, national economies created wealth by engaging in international trade and production. The resulting international supply networks not only increase wealth for countries, but also create systemic risk: economic shocks,…

General Economics · Economics 2021-12-02 Abhijit Chakraborty , Tobias Reisch , Christian Diem , Stefan Thurner

In our previous paper, "A Unified Approach to Systemic Risk Measures via Acceptance Set" (\textit{Mathematical Finance, 2018}), we have introduced a general class of systemic risk measures that allow for random allocations to individual…

Mathematical Finance · Quantitative Finance 2019-04-26 Francesca Biagini , Jean-Pierre Fouque , Marco Frittelli , Thilo Meyer-Brandis

In this paper we consider a mean-field model of interacting diffusions for the monetary reserves in which the reserves are subjected to a self- and cross-exciting shock. This is motivated by the financial acceleration and fire sales…

Mathematical Finance · Quantitative Finance 2018-06-11 Anastasia Borovykh , Andrea Pascucci , Stefano la Rovere

Systemic risk arises as a multi-layer network phenomenon. Layers represent direct financial exposures of various types, including interbank liabilities, derivative- or foreign exchange exposures. Another network layer of systemic risk…

Risk Management · Quantitative Finance 2018-03-13 Anton Pichler , Sebastian Poledna , Stefan Thurner

We introduce a novel class of systemic risk measures, the Vulnerability Conditional risk measures, which try to capture the "tail risk" of a risky position in scenarios where one or more market participants is experiencing financial…

Risk Management · Quantitative Finance 2024-11-15 Tong Pu , Yunran Wei , Yiying Zhang

Risk assessment under different possible scenarios is a source of uncertainty that may lead to concerning financial losses. We address this issue, first, by adapting a robust framework to the class of spectral risk measures. Second, we…

Risk Management · Quantitative Finance 2019-05-21 Mohammed Berkhouch , Ghizlane Lakhnati , Marcelo Brutti Righi

A probabilistic framework is introduced that represents stylized banking networks and aims to predict the size of contagion events. In contrast to previous work on random financial networks, which assumes independent connections between…

General Finance · Quantitative Finance 2011-10-20 Thomas R. Hurd , James P. Gleeson

The aim of this study is to contribute to the theory of exogenous economic shocks and their equivalents in an attempt to explain business cycle fluctuations, which still do not have a clear explanation. To this end the author has developed…

General Economics · Economics 2019-12-20 Shteryo Nozharov

We introduce the resilience rate as a measure of financial resilience. It captures the expected rate at which a dynamic risk measure recovers, i.e., bounces back, when the risk-acceptance set is breached. We develop the corresponding…

Mathematical Finance · Quantitative Finance 2026-01-26 Roger J. A. Laeven , Matteo Ferrari , Emanuela Rosazza Gianin , Marco Zullino

In this paper we study the effect of network structure between agents and objects on measures for systemic risk. We model the influence of sharing large exogeneous losses to the financial or (re)insuance market by a bipartite graph. Using…

Risk Management · Quantitative Finance 2015-10-05 Oliver Kley , Claudia Klüppelberg , Gesine Reinert

The global balance index is used in the network literature to quantify how balanced a signed network is. In this paper we show that the global balance index of financial correlation networks can be used as a systemic risk measure. We define…

Risk Management · Quantitative Finance 2025-06-04 Paolo Bartesaghi , Fernando Diaz-Diaz , Rosanna Grassi , Pierpaolo Uberti

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

In this note we consider a system of financial institutions and study systemic risk measures in the presence of a financial market and in a robust setting, namely, where no reference probability is assigned. We obtain a dual representation…

Mathematical Finance · Quantitative Finance 2021-08-19 Matteo Burzoni , Marco Frittelli , Federico Zorzi

The level of systemic risk in economic and financial systems is strongly determined by the structure of the underlying networks of interdependent entities that can propagate shocks and stresses. Since changes in network structure imply…