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This paper discusses an alternative explanation for the empirical findings contradicting the positive relationship between risk (variance) and reward (expected return). We show that these contradicting results might be due to the false…

Risk Management · Quantitative Finance 2017-04-19 Mihaly Ormos , Dusan Timotity

Systemic risk measures were introduced to capture the global risk and the corresponding contagion effects that is generated by an interconnected system of financial institutions. To this purpose, two approaches were suggested. In the first…

Optimization and Control · Mathematics 2024-02-23 Sarah Kaakai , Anis Matoussi , Achraf Tamtalini

This paper attempts to provide a decision-theoretic foundation for the measurement of economic tail risk, which is not only closely related to utility theory but also relevant to statistical model uncertainty. The main result is that the…

Risk Management · Quantitative Finance 2015-08-18 Steven Kou , Xianhua Peng

We introduce new forecast encompassing tests for the risk measure Expected Shortfall (ES). The ES currently receives much attention through its introduction into the Basel III Accords, which stipulate its use as the primary market risk…

Risk Management · Quantitative Finance 2020-08-31 Timo Dimitriadis , Julie Schnaitmann

We investigate optimal consumption problems for a Black-Scholes market under uniform restrictions on Value-at-Risk and Expected Shortfall for logarithmic utility functions. We find the solutions in terms of a dynamic strategy in explicit…

Portfolio Management · Quantitative Finance 2010-02-15 Claudia Kluppelberg , Serguei Pergamenchtchikov

This paper solves a utility maximization problem under utility-based shortfall risk constraint, by proposing an approach using Lagrange multiplier and convex duality. Under mild conditions on the asymptotic elasticity of the utility…

Mathematical Finance · Quantitative Finance 2016-06-28 Oliver Janke , Qinghua Li

We consider the problems of estimation and optimization of two popular convex risk measures: utility-based shortfall risk (UBSR) and Optimized Certainty Equivalent (OCE) risk. We extend these risk measures to cover possibly unbounded random…

Computational Engineering, Finance, and Science · Computer Science 2025-06-03 Sumedh Gupte , Prashanth L. A. , Sanjay P. Bhat

We present a computational method for measuring financial risk by estimating the Value at Risk and Expected Shortfall from financial series. We have made two assumptions: First, that the predictive distributions of the values of an asset…

Risk Management · Quantitative Finance 2011-12-14 I. Garcia , J. Jimenez

Portfolio optimization involves determining the optimal allocation of portfolio assets in order to maximize a given investment objective. Traditionally, some form of mean-variance optimization is used with the aim of maximizing returns…

Artificial Intelligence · Computer Science 2024-03-26 Fernando Acero , Parisa Zehtabi , Nicolas Marchesotti , Michael Cashmore , Daniele Magazzeni , Manuela Veloso

Starting from the requirement that risk measures of financial portfolios should be based on their losses, not their gains, we define the notion of loss-based risk measure and study the properties of this class of risk measures. We…

Risk Management · Quantitative Finance 2014-03-26 Rama Cont , Romain Deguest , Xuedong He

In this paper, we search for optimal portfolio strategies in the presence of various risk measure that are common in financial applications. Particularly, we deal with the static optimization problem with respect to Value at Risk, Expected…

Portfolio Management · Quantitative Finance 2019-12-23 Alev Meral

Spectral risk measures (SRMs) are risk measures that take account of user riskaversion, but to date there has been little guidance on the choice of utility function underlying them. This paper addresses this issue by examining alternative…

Risk Management · Quantitative Finance 2011-03-30 Kevin Dowd , John Cotter , Ghulam Sorwar

We introduce and study the main properties of a class of convex risk measures that refine Expected Shortfall by simultaneously controlling the expected losses associated with different portions of the tail distribution. The corresponding…

Risk Management · Quantitative Finance 2021-08-19 Matteo Burzoni , Cosimo Munari , Ruodu Wang

Spectral risk measures are attractive risk measures as they allow the user to obtain risk measures that reflect their subjective risk-aversion. This paper examines spectral risk measures based on an exponential utility function, and finds…

Risk Management · Quantitative Finance 2011-03-29 Kevin Dowd , John Cotter

Shortfall systemic (multivariate) risk measures $\rho$ defined through an $N$-dimensional multivariate utility function $U$ and random allocations can be represented as classical (one dimensional) shortfall risk measures associated to an…

Mathematical Finance · Quantitative Finance 2023-06-21 Alessandro Doldi , Marco Frittelli , Emanuela Rosazza Gianin

Analytical, free of time consuming Monte Carlo simulations, framework for credit portfolio systematic risk metrics calculations is presented. Techniques are described that allow calculation of portfolio-level systematic risk measures…

Risk Management · Quantitative Finance 2011-07-14 Mikhail Voropaev

In the market place, diversification reduces risk and provides protection against extreme events by ensuring that one is not overly exposed to individual occurrences. We argue that diversification is best measured by characteristics of the…

Portfolio Management · Quantitative Finance 2011-02-24 Ulrich Kirchner , Caroline Zunckel

We consider a utility-maximization problem in a general semimartingale financial model, subject to constraints on the number of shares held in each risky asset. These constraints are modeled by predictable convex-set-valued processes whose…

Portfolio Management · Quantitative Finance 2013-02-25 Kasper Larsen , Gordan Žitković

For assessing various performance indicators of companies, the focus is shifting from strictly financial (quantitative) publicly disclosed information to qualitative (textual) information. This textual data can provide valuable weak…

Computation and Language · Computer Science 2024-04-09 Syrielle Montariol , Matej Martinc , Andraž Pelicon , Senja Pollak , Boshko Koloski , Igor Lončarski , Aljoša Valentinčič

The ongoing concern about systemic risk since the outburst of the global financial crisis has highlighted the need for risk measures at the level of sets of interconnected financial components, such as portfolios, institutions or members of…

Risk Management · Quantitative Finance 2017-03-24 Yannick Armenti , Stephane Crepey , Samuel Drapeau , Antonis Papapantoleon