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A risk measure that is consistent with the second-order stochastic dominance and additive for sums of independent random variables can be represented as a weighted entropic risk measure (WERM). The expected utility maximization problem with…

Mathematical Finance · Quantitative Finance 2021-12-07 Jianming Xia

This paper addresses risk awareness of stochastic optimization problems. Nested risk measures appear naturally in this context, as they allow beneficial reformulations for algorithmic treatments. The reformulations presented extend usual…

Optimization and Control · Mathematics 2018-02-14 Alois Pichler , Ruben Schlotter

We propose an computational framework for real-time risk assessment and prioritizing for random outcomes without prior information on probability distributions. The basic model is built based on satisficing measure (SM) which yields a…

Optimization and Control · Mathematics 2018-07-03 Wenjie Huang

This paper introduces a methodology for identifying and simulating financial and economic systems using stochastically structured reservoir computers (SSRCs). The framework combines structure-preserving embeddings with graph-informed…

Optimization and Control · Mathematics 2025-11-20 Lendy Banegas , Fredy Vides

We study the properties of Expected Shortfall from the point of view of financial risk management. This measure --- which emerges as a natural remedy in some cases where Value at Risk (VaR) is not able to distinguish portfolios which bear…

Statistical Mechanics · Physics 2008-12-02 Carlo Acerbi , Claudio Nordio , Carlo Sirtori

Utility-Based Shortfall Risk (UBSR) is a risk metric that is increasingly popular in financial applications, owing to certain desirable properties that it enjoys. We consider the problem of estimating UBSR in a recursive setting, where…

Machine Learning · Statistics 2023-11-28 Vishwajit Hegde , Arvind S. Menon , L. A. Prashanth , Krishna Jagannathan

In risk management it is desirable to grasp the essential statistical features of a time series representing a risk factor. This tutorial aims to introduce a number of different stochastic processes that can help in grasping the essential…

Risk Management · Quantitative Finance 2008-12-23 Damiano Brigo , Antonio Dalessandro , Matthias Neugebauer , Fares Triki

Complex non-linear interactions between banks and assets we model by two time-dependent Erd\H{o}s Renyi network models where each node, representing bank, can invest either to a single asset (model I) or multiple assets (model II). We use…

Risk Management · Quantitative Finance 2015-06-19 B. Podobnik , D. Horvatic , M. Bertella , L. Feng , X. Huang , B. Li

Marginal expected shortfall (MES) is an important measure when assessing and quantifying the contribution of the financial institution to a systemic crisis. In this paper, we propose time-lagged marginal expected shortfall (TMES) as a…

Methodology · Statistics 2025-05-08 Jiajun Liu , Xuannan Liu , Yuwei Zhao

This paper is concerned with a simulation study for a stochastic production network model, where the capacities of machines may change randomly. We introduce performance measures motivated by risk measures from finance leading to a…

Optimization and Control · Mathematics 2019-05-14 Simone Göttlich , Stephan Knapp

Organizations use cash management models to control balances to both avoid overdrafts and obtain a profit from short-term investments. Most management models are based on control bounds which are derived from the assumption of a particular…

Computational Finance · Quantitative Finance 2024-01-17 Francisco Salas-Molina

We consider a risk-averse stochastic capacity planning problem under uncertain demand in each period. Using a scenario tree representation of the uncertainty, we formulate a multistage stochastic integer program to adjust the capacity…

Optimization and Control · Mathematics 2024-11-05 Xian Yu , Siqian Shen

The contour maps of the error of historical resp. parametric estimates for large random portfolios optimized under the risk measure Expected Shortfall (ES) are constructed. Similar maps for the sensitivity of the portfolio weights to small…

Risk Management · Quantitative Finance 2015-10-19 Fabio Caccioli , Imre Kondor , Gábor Papp

This paper investigates risk measures derived from the expected maximum deficit in a continuous-time framework and develops optimal reserve allocation strategies across multiple lines of business. We formalize the expected maximum deficit…

Risk Management · Quantitative Finance 2026-05-19 Claude Lefevre , Pierre Zuyderhoff

We propose some machine-learning-based algorithms to solve hedging problems in incomplete markets. Sources of incompleteness cover illiquidity, untradable risk factors, discrete hedging dates and transaction costs. The proposed algorithms…

Risk Management · Quantitative Finance 2020-08-13 Simon Fécamp , Joseph Mikael , Xavier Warin

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

The problem of estimation error of Expected Shortfall is analyzed, with a view of its introduction as a global regulatory risk measure.

Risk Management · Quantitative Finance 2014-02-25 Imre Kondor

In this paper we develop a novel methodology for estimation of risk capital allocation. The methodology is rooted in the theory of risk measures. We work within a general, but tractable class of law-invariant coherent risk measures, with a…

Risk Management · Quantitative Finance 2019-11-25 Tomasz R. Bielecki , Igor Cialenco , Marcin Pitera , Thorsten Schmidt

Systemic liquidity risk, defined by the IMF as "the risk of simultaneous liquidity difficulties at multiple financial institutions", is a key topic in macroprudential policy and financial stress analysis. Specialized models to simulate…

Risk Management · Quantitative Finance 2021-12-08 V. Macchiati , G. Brandi , G. Cimini , G. Caldarelli , D. Paolotti , T. Di Matteo

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