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This paper focuses on vector-valued composite functionals, which may be nonlinear in probability. Our primary goal is to establish central limit theorems for these functionals when mixed estimators are employed. Our study is relevant to the…

Statistics Theory · Mathematics 2025-01-09 Huihui Chen , Darinka Dentcheva , Yang Lin , Gregory J. Stock

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

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 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

This paper proposes RiskRank as a joint measure of cyclical and cross-sectional systemic risk. RiskRank is a general-purpose aggregation operator that concurrently accounts for risk levels for individual entities and their…

Risk Management · Quantitative Finance 2016-01-26 József Mezei , Peter Sarlin

In this article we propose a novel measure of systemic risk in the context of financial networks. To this aim, we provide a definition of systemic risk which is based on the structure, developed at different levels, of clustered neighbours…

Physics and Society · Physics 2020-07-30 Roy Cerqueti , Gian Paolo Clemente , Rosanna Grassi

Systemic risk measures are crucial for the stability of financial markets, yet classical formulations fail to capture the complexity of market volatility. We propose a new framework for systemic risk measurement on the variable-exponent…

Risk Management · Quantitative Finance 2026-02-25 Fei Sun , Jieming Zhou

We develop a new classification framework based on the theory of coherent risk measures and systemic risk. The proposed approach is suitable for multi-class problems when the data is noisy, scarce (relative to the dimension of the problem),…

Machine Learning · Statistics 2026-05-29 Darinka Dentcheva , Xiangyu Tian

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

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

Linear optimization problems are investigated whose parameters are uncertain. We apply coherent distortion risk measures to capture the possible violation of a restriction. Each risk constraint induces an uncertainty set of coefficients,…

Methodology · Statistics 2017-12-18 Karl Mosler , Pavel Bazovkin

The negative externalities from an individual bank failure to the whole system can be huge. One of the key purposes of bank regulation is to internalize the social costs of potential bank failures via capital charges. This study proposes a…

General Finance · Quantitative Finance 2014-04-24 Xiaobing Feng , Haibo Hu

Measuring and managing risk has become crucial in modern decision making under stochastic uncertainty. In two-stage stochastic programming, mean risk models are essentially defined by a parametric recourse problem and a quantification of…

Optimization and Control · Mathematics 2016-11-28 Matthias Claus , Volker Krätschmer , Rüdiger Schultz

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

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

In this paper, we propose a novel Mixed-Integer Non-Linear Optimization formulation to construct a risk score, where we optimize the logistic loss with sparsity constraints. Previous approaches are typically designed to handle binary…

Optimization and Control · Mathematics 2025-02-13 Cristina Molero-Río , Claudia D'Ambrosio

The policy objective of safeguarding financial stability has stimulated a wave of research on systemic risk analytics, yet it still faces challenges in measurability. This paper models systemic risk by tapping into expert knowledge of…

General Finance · Quantitative Finance 2014-12-30 Jozsef Mezei , Peter Sarlin

The latest financial crisis has painfully revealed the dangers arising from a globally interconnected financial system. Conventional approaches based on the notion of the existence of equilibrium and those which rely on statistical…

Trading and Market Microstructure · Quantitative Finance 2019-12-12 V. Sasidevan , Nils Bertschinger

We provide a framework for detecting relevant insurance companies in a systemic risk perspective. Among the alternative methodologies for measuring systemic risk, we propose a complex network approach where insurers are linked to form a…

Risk Management · Quantitative Finance 2020-11-24 Gian Paolo Clemente , Alessandra Cornaro

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