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Related papers: Statistical Learning of Value-at-Risk and Expected…

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In this paper we propose a multivariate quantile regression framework to forecast Value at Risk (VaR) and Expected Shortfall (ES) of multiple financial assets simultaneously, extending Taylor (2019). We generalize the Multivariate…

Risk Management · Quantitative Finance 2021-07-19 Luca Merlo , Lea Petrella , Valentina Raponi

The Lambda Value-at-Risk (Lambda-VaR) is a generalization of the Value-at-Risk (VaR), which has been actively studied in quantitative finance. Over the past two decades, the Expected Shortfall (ES) has become one of the most important risk…

Mathematical Finance · Quantitative Finance 2026-01-08 Fabio Bellini , Muqiao Huang , Qiuqi Wang , Ruodu Wang

Expected shortfall (ES), also known as conditional value-at-risk, is a widely recognized risk measure that complements value-at-risk by capturing tail-related risks more effectively. Compared with quantile regression, which has been…

Methodology · Statistics 2025-11-13 Myeonghun Yu , Kean Ming Tan , Huixia Judy Wang , Wen-Xin Zhou

Distributional reinforcement learning (RL) -- in which agents learn about all the possible long-term consequences of their actions, and not just the expected value -- is of great recent interest. One of the most important affordances of a…

Artificial Intelligence · Computer Science 2021-11-15 Chris Gagne , Peter Dayan

The joint Value at Risk (VaR) and expected shortfall (ES) quantile regression model of Taylor (2017) is extended via incorporating a realized measure, to drive the tail risk dynamics, as a potentially more efficient driver than daily…

Risk Management · Quantitative Finance 2018-05-23 Richard Gerlach , Chao Wang

In the recent Basel Accords, the Expected Shortfall (ES) replaces the Value-at-Risk (VaR) as the standard risk measure for market risk in the banking sector, making it the most important risk measure in financial regulation. One of the most…

Risk Management · Quantitative Finance 2026-04-16 Qiuqi Wang , Ruodu Wang , Johanna Ziegel

Value at Risk (VaR) and Conditional Value at Risk (CVaR) have become the most popular measures of market risk in Financial and Insurance fields. However, the estimation of both risk measures is challenging, because it requires the knowledge…

Methodology · Statistics 2024-10-17 Jacinto Martín , M. Isabel Parra , Eva L. Sanjuán , Mario M. Pizarro

CoVaR (conditional value-at-risk) is a crucial measure for assessing financial systemic risk, which is defined as a conditional quantile of a random variable, conditioned on other random variables reaching specific quantiles. It enables the…

Risk Management · Quantitative Finance 2023-10-31 Weihuan Huang

The aim of this paper is to describe a new an integrated methodology for project control under uncertainty. This proposal is based on Earned Value Methodology and risk analysis and presents several refinements to previous methodologies.…

Risk Management · Quantitative Finance 2024-06-06 Fernando Acebes , M Pereda , David Poza , Javier Pajares , Jose M Galan

This paper formulates algorithms to upper-bound the maximum Value-at-Risk (VaR) of a state function along trajectories of stochastic processes. The VaR is upper bounded by two methods: minimax tail-bounds (Cantelli/Vysochanskij-Petunin) and…

Optimization and Control · Mathematics 2024-02-05 Jared Miller , Matteo Tacchi , Mario Sznaier , Ashkan Jasour

A semi-parametric joint Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting framework employing multiple realized measures is developed. The proposed framework extends the realized exponential GARCH model to be semi-parametrically…

Risk Management · Quantitative Finance 2024-12-06 Rangika Peiris , Chao Wang , Richard Gerlach , Minh-Ngoc Tran

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

We propose a new approach, termed Realized Risk Measures (RRM), to estimate Value-at-Risk (VaR) and Expected Shortfall (ES) using high-frequency financial data. It extends the Realized Quantile (RQ) approach proposed by Dimitriadis and…

Risk Management · Quantitative Finance 2025-10-21 Federico Gatta , Fabrizio Lillo , Piero Mazzarisi

In real-world scenarios, risk-averse learning is valuable for mitigating potential adverse outcomes. However, the delayed feedback makes it challenging to assess and manage risk effectively. In this paper, we investigate risk-averse…

Machine Learning · Computer Science 2025-08-06 Siyi Wang , Zifan Wang , Karl Henrik Johansson , Sandra Hirche

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

Risk measures such as Expected Shortfall (ES) and Value-at-Risk (VaR) have been prominent in banking regulation and financial risk management. Motivated by practical considerations in the assessment and management of risks, including…

Mathematical Finance · Quantitative Finance 2021-05-05 Ruodu Wang , Johanna F. Ziegel

In safety-critical decision-making, the environment may evolve over time, and the learner adjusts its risk level accordingly. This work investigates risk-averse online optimization in dynamic environments with varying risk levels, employing…

Optimization and Control · Mathematics 2025-12-30 Siyi Wang , Zifan Wang , Karl H. Johansson

A long memory and non-linear realized volatility model class is proposed for direct Value at Risk (VaR) forecasting. This model, referred to as RNN-HAR, extends the heterogeneous autoregressive (HAR) model, a framework known for efficiently…

Risk Management · Quantitative Finance 2024-08-27 Rangika Peiris , Minh-Ngoc Tran , Chao Wang , Richard Gerlach

We study learning algorithms that seek to minimize the conditional value-at-risk (CVaR), when all the learner knows is that the losses incurred may be heavy-tailed. We begin by studying a general-purpose estimator of CVaR for potentially…

Machine Learning · Statistics 2020-06-04 Matthew J. Holland , El Mehdi Haress

In a wide variety of sequential decision making problems, it can be important to estimate the impact of rare events in order to minimize risk exposure. A popular risk measure is the conditional value-at-risk (CVaR), which is commonly…

Machine Learning · Statistics 2020-12-11 Dylan Troop , Frédéric Godin , Jia Yuan Yu