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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

Common asset holdings are widely believed to have been the primary vector of contagion in the recent financial crisis. We develop a network approach to the amplification of financial contagion due to the combination of overlapping…

General Finance · Quantitative Finance 2012-11-06 Fabio Caccioli , Munik Shrestha , Cristopher Moore , J. Doyne Farmer

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

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

The instability of the financial system as experienced in recent years and in previous periods is often linked to credit defaults, i.e., to the failure of obligors to make promised payments. Given the large number of credit contracts, this…

Risk Management · Quantitative Finance 2015-06-17 Thilo A. Schmitt , Desislava Chetalova , Rudi Schäfer , Thomas Guhr

As it is known in the finance risk and macroeconomics literature, risk-sharing in large portfolios may increase the probability of creation of default clusters and of systemic risk. We review recent developments on mathematical and…

Risk Management · Quantitative Finance 2015-02-20 Konstantinos Spiliopoulos

The downside risk of a portfolio of (equity)assets is generally substantially higher than the downside risk of its components. In particular in times of crises when assets tend to have high correlation, the understanding of this difference…

Risk Management · Quantitative Finance 2015-03-17 Alex Langnau , Daniel Cangemi

Risk diversification is the basis of insurance and investment. It is thus crucial to study the effects that could limit it. One of them is the existence of systemic risk that affects all the policies at the same time. We introduce here a…

Risk Management · Quantitative Finance 2013-12-03 Marc Busse , Michel Dacorogna , Marie Kratz

The stability of the financial system is associated with systemic risk factors such as the concurrent default of numerous small obligors. Hence it is of utmost importance to study the mutual dependence of losses for different creditors in…

Risk Management · Quantitative Finance 2017-06-30 Andreas Mühlbacher , Thomas Guhr

We consider the problem of risk diversification in complex networks. Nodes represent e.g. financial actors, whereas weighted links represent e.g. financial obligations (credits/debts). Each node has a risk to fail because of losses…

Physics and Society · Physics 2016-04-27 Rebekka Burkholz , Antonios Garas , Frank Schweitzer

The failure of key financial institutions may accelerate risk contagion due to their interconnections within the system. In this paper, we propose a robust portfolio strategy to mitigate systemic risks during extreme events. We use the…

Portfolio Management · Quantitative Finance 2025-03-21 Qian Hui , Tiandong Wang

We extend the Vasi\v{c}ek loan portfolio model to a setting where liabilities fluctuate randomly and asset values may be subject to systemic jump risk. We derive the probability distribution of the percentage loss of a uniform portfolio and…

Risk Management · Quantitative Finance 2010-06-07 Luis H. R. Alvarez , Jani Sainio

We analyze the stability of financial investment networks, where financial institutions hold overlapping portfolios of assets. We consider the effect of portfolio diversification and heterogeneous investments using a random matrix dynamical…

Risk Management · Quantitative Finance 2025-02-03 Preben Forer , Barak Budnick , Pierpaolo Vivo , Sabrina Aufiero , Silvia Bartolucci , Fabio Caccioli

We examine the problem of optimal portfolio allocation within the framework of utility theory. We apply exponential utility to derive the optimal diversification strategy and logarithmic utility to determine the optimal leverage. We enhance…

Portfolio Management · Quantitative Finance 2025-10-01 Vladimir Markov

The aim of this paper is to quantify and manage systemic risk caused by default contagion in the interbank market. We model the market as a random directed network, where the vertices represent financial institutions and the weighted edges…

Risk Management · Quantitative Finance 2021-01-18 Nils Detering , Thilo Meyer-Brandis , Konstantinos Panagiotou , Daniel Ritter

We use a simple agent based model of value investors in financial markets to test three credit regulation policies. The first is the unregulated case, which only imposes limits on maximum leverage. The second is Basle II and the third is a…

Risk Management · Quantitative Finance 2014-01-06 Sebastian Poledna , Stefan Thurner , J. Doyne Farmer , John Geanakoplos

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

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

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

Portfolio diversification is a cornerstone of modern finance, while risk aversion is central to decision theory; both concepts are long-standing and foundational. We investigate their connections by studying how different forms of…

Theoretical Economics · Economics 2026-03-26 Xiangxin He , Fangda Liu , Ruodu Wang
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