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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

Recently, Castagnoli et al. (2021) introduce the class of star-shaped risk measures as a generalization of convex and coherent ones, proving that there is a representation as the pointwise minimum of some family composed by convex risk…

Risk Management · Quantitative Finance 2021-09-01 Marlon Moresco , Marcelo Brutti Righi

This paper provides a unified framework, which allows, in particular, to study the structure of dynamic monetary risk measures and dynamic acceptability indices. The main mathematical tool, which we use here, and which allows us to…

Probability · Mathematics 2014-08-22 Tomasz R. Bielecki , Igor Cialenco , Samuel Drapeau , Martin Karliczek

In the early 90s, researchers began to focus on security as an important property to address in combination with safety. Over the years, researchers have proposed approaches to harmonize activities within the safety and security…

Software Engineering · Computer Science 2018-08-31 Kaj Hänninen , Hans Hansson , Henrik Thane , Mehrdad Saadatmand

To achieve robustness of risk across different assets, risk parity investing rules, a particular state of risk contributions, have grown in popularity over the previous few decades. To generalize the concept of risk contribution from the…

Mathematical Finance · Quantitative Finance 2022-02-22 Mengjin Zhao , Guangyan Jia

We propose a risk measurement approach for a risk-averse stochastic problem. We provide results that guarantee that our problem has a solution. We characterize and explore the properties of the argmin as a risk measure and the minimum as a…

Risk Management · Quantitative Finance 2023-05-09 Marcelo Brutti Righi , Fernanda Maria Müller , Marlon Ruoso Moresco

Risk assessment plays a crucial role in ensuring the security and resilience of modern computer systems. Existing methods for conducting risk assessments often suffer from tedious and time-consuming processes, making it challenging to…

Cryptography and Security · Computer Science 2023-07-27 Simon Unger , Ektor Arzoglou , Markus Heinrich , Dirk Scheuermann , Stefan Katzenbeisser

The systems that statisticians are asked to assess, such as nuclear weapons, infrastructure networks, supercomputer codes and munitions, have become increasingly complex. It is often costly to conduct full system tests. As such, we present…

Methodology · Statistics 2009-09-29 Alyson G. Wilson , Todd L. Graves , Michael S. Hamada , C. Shane Reese

We propose the star-shaped acceptability indexes as generalizations of both the approaches of Cherny and Madan (2009) and Rosazza Gianin and Sgarra (2013) in the same vein as star-shaped risk measures generalize both the classes of coherent…

Risk Management · Quantitative Finance 2024-05-28 Marcelo Brutti Righi

The fragility of financial systems was starkly demonstrated in early 2023 through a cascade of major bank failures in the United States, including the second, third, and fourth largest collapses in the US history. The highly interdependent…

Risk Management · Quantitative Finance 2024-11-19 Kamil Fortuna , Janusz Szwabiński

In this paper, we consider a multi-objective control problem for stochastic systems that seeks to minimize a cost of interest while ensuring safety. We introduce a novel measure of safety risk using the conditional value-at-risk and a set…

Optimization and Control · Mathematics 2018-02-23 Samantha Samuelson , Insoon Yang

We study the difference between the level of systemic risk that is empirically measured on an interbank network and the risk that can be deduced from the balance sheets composition of the participating banks. Using generalised DebtRank…

Risk Management · Quantitative Finance 2022-09-07 Alessandro Ferracci , Giulio Cimini

Generalization methods offer a powerful solution to one of the key drawbacks of randomized controlled trials (RCTs): their limited representativeness. By enabling the transport of treatment effect estimates to target populations subject to…

Methodology · Statistics 2025-05-20 Ahmed Boughdiri , Clément Berenfeld , Julie Josse , Erwan Scornet

Financial markets are exposed to systemic risk, the risk that a substantial fraction of the system ceases to function and collapses. Systemic risk can propagate through different mechanisms and channels of contagion. One important form of…

Risk Management · Quantitative Finance 2018-02-02 Sebastian Poledna , Serafín Martínez-Jaramillo , Fabio Caccioli , Stefan Thurner

Over the last years, we have seen several security incidents that compromised system safety, of which some caused physical harm to people. Meanwhile, various risk assessment methods have been developed that integrate safety and security,…

Cryptography and Security · Computer Science 2017-07-10 Sabarathinam Chockalingam , Dina Hadziosmanovic , Wolter Pieters , Andre Teixeira , Pieter van Gelder

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

Supply chain disruptions constitute an often underestimated risk for financial stability. As in financial networks, systemic risks in production networks arises when the local failure of one firm impacts the production of others and might…

Statistical Finance · Quantitative Finance 2025-02-25 Jan Fialkowski , Christian Diem , András Borsos , Stefan Thurner

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

We propose a new procedure for the risk measurement of large portfolios. It employs the following objects as the building blocks: - coherent risk measures introduced by Artzner, Delbaen, Eber, and Heath; - factor risk measures introduced in…

Probability · Mathematics 2008-12-02 Alexander S. Cherny , Dilip B. Madan

Recently, Basel Committee for Banking Supervision proposed to replace all approaches, including Advanced Measurement Approach (AMA), for operational risk capital with a simple formula referred to as the Standardised Measurement Approach…

Risk Management · Quantitative Finance 2016-09-15 Gareth W. Peters , Pavel V. Shevchenko , Bertrand Hassani , Ariane Chapelle