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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 investigate the portfolio frontier and risk premia in equilibrium when institutional investors aim to minimize the tracking error variance under an ESG score mandate. If a negative ESG premium is priced in the market, this mandate can…

Portfolio Management · Quantitative Finance 2024-12-12 Michele Azzone , Emilio Barucci , Davide Stocco

In this paper, we present a generalization of the certainty equivalence principle of stochastic control. One interpretation of the classical certainty equivalence principle for linear systems with output feedback and quadratic costs is as…

Optimization and Control · Mathematics 2026-02-04 Berk Bozkurt , Aditya Mahajan , Ashutosh Nayyar , Yi Ouyang

We develop methods for estimating how infinitesimal policy changes affect long-term outcomes in dynamic systems. We show that dynamic marginal policy effects (MPEs) can be identified via tractable reduced-form expressions, and can be…

Methodology · Statistics 2026-05-26 I-han Lai , Stefan Wager

Uncertain information on input parameters of reliability models is usually modeled by considering these parameters as random, and described by marginal distributions and a dependence structure of these variables. In numerous real-world…

Applications · Statistics 2018-04-30 Nazih Benoumechiara , Bertrand Michel , Philippe Saint-Pierre , Nicolas Bousquet

Crises like COVID-19 or the Japanese earthquake in 2011 exposed the fragility of corporate supply networks. The production of goods and services is a highly interdependent process and can be severely impacted by the default of critical…

General Economics · Economics 2021-04-16 Christian Diem , András Borsos , Tobias Reisch , János Kertész , Stefan Thurner

Under the Fundamental Review of the Trading Book (FRTB) capital charges for the trading book are based on the coherent expected shortfall (ES) risk measure, which show greater sensitivity to tail risk. In this paper it is argued that…

Risk Management · Quantitative Finance 2016-11-16 Marie Kratz , Yen H. Lok , Alexander J McNeil

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

Typically, operational risk losses are reported above a threshold. Fitting data reported above a constant threshold is a well known and studied problem. However, in practice, the losses are scaled for business and other factors before the…

Risk Management · Quantitative Finance 2009-07-31 Pavel V. Shevchenko , Grigory Temnov

A meticulous assessment of the risk of impacts associated with extreme wind events is of great necessity for populations, civil authorities as well as the insurance industry. Using the concept of spatial risk measure and related set of…

Probability · Mathematics 2019-12-19 Erwan Koch

Predicting future operational risk losses gives rise to a significant challenge due to the heterogeneous and time-dependent structures present in real-world data. Furthermore, stress test exercises require examining the relationship with…

Risk Management · Quantitative Finance 2026-04-24 Nikeethan Selvaratnam , Dorinel Bastide , Clément Fernandes , Wojciech Pieczynski

Accounting for model uncertainty in risk management and option pricing leads to infinite dimensional optimization problems which are both analytically and numerically intractable. In this article we study when this hurdle can be overcome…

Risk Management · Quantitative Finance 2020-01-16 Daniel Bartl , Samuel Drapeau , Ludovic Tangpi

It is shown that the axioms for coherent risk measures imply that whenever there is an asset in a portfolio that dominates the others in a given sample (which happens with finite probability even for large samples), then this portfolio…

Risk Management · Quantitative Finance 2009-09-29 Imre Kondor , Istvan Varga-Haszonits

Obtaining guarantees on the convergence of the minimizers of empirical risks to the ones of the true risk is a fundamental matter in statistical learning. Instead of deriving guarantees on the usual estimation error, the goal of this paper…

Statistics Theory · Mathematics 2024-09-12 Paul Escande

In this work, we study the weighted empirical risk minimization (weighted ERM) schema, in which an additional data-dependent weight function is incorporated when the empirical risk function is being minimized. We show that under a general…

Machine Learning · Computer Science 2025-01-07 Yikai Zhang , Jiahe Lin , Fengpei Li , Songzhu Zheng , Anant Raj , Anderson Schneider , Yuriy Nevmyvaka

This work is an answer to the EIOPA 2017 report. It follows from the latter that in order to assess the potential systemic risk we should take into account the build-up of risk and in particular the risk that arises in time, as well as the…

General Finance · Quantitative Finance 2019-12-13 Anna Denkowska , Stanisław Wanat

Credit capital requirements in Internal Rating Based approaches require the calibration of two key parameters: the probability of default and the loss-given-default. This letter considers the uncertainty about these two parameters and…

Statistical Finance · Quantitative Finance 2020-10-19 Roberto Baviera

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

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

We study a worst-case approach to measure the sensitivity to model misspecification in the performance analysis of stochastic systems. The situation of interest is when only minimal parametric information is available on the form of the…

Probability · Mathematics 2015-07-14 Henry Lam