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We account for time-varying parameters in the conditional expectile-based value at risk (EVaR) model. The EVaR downside risk is more sensitive to the magnitude of portfolio losses compared to the quantile-based value at risk (QVaR). Rather…

统计金融 · 定量金融 2020-09-29 Xiu Xu , Andrija Mihoci , Wolfgang Karl Härdle

Expected Shortfall (ES), also known as superquantile or Conditional Value-at-Risk, has been recognized as an important measure in risk analysis and stochastic optimization, and is also finding applications beyond these areas. In finance, it…

统计方法学 · 统计学 2022-12-13 Xuming He , Kean Ming Tan , Wen-Xin Zhou

Expected Shortfall (ES) in several variants has been proposed as remedy for the defi-ciencies of Value-at-Risk (VaR) which in general is not a coherent risk measure. In fact, most definitions of ES lead to the same results when applied to…

统计力学 · 物理学 2008-12-10 Carlo Acerbi , Dirk Tasche

Appropriate risk management is crucial to ensure the competitiveness of financial institutions and the stability of the economy. One widely used financial risk measure is Value-at-Risk (VaR). VaR estimates based on linear and parametric…

统计金融 · 定量金融 2020-09-16 Marius Lux , Wolfgang Karl Härdle , Stefan Lessmann

In this article, by using composite asymmetric least squares (CALS) and empirical likelihood, we propose a two-step procedure to estimate the conditional value at risk (VaR) and conditional expected shortfall (ES) for the GARCH series.…

统计理论 · 数学 2018-07-05 Sheng Wu , Yi Zhang , Jun Zhao , Liming Shen

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…

数理金融 · 定量金融 2021-05-05 Ruodu Wang , Johanna F. Ziegel

The global financial crisis of 2007-2009 highlighted the crucial role systemic risk plays in ensuring stability of financial markets. Accurate assessment of systemic risk would enable regulators to introduce suitable policies to mitigate…

统计理论 · 数学 2022-03-03 Natalia Nolde , Chen Zhou , Menglin Zhou

The debate of what quantitative risk measure to choose in practice has mainly focused on the dichotomy between Value at Risk (VaR) -- a quantile -- and Expected Shortfall (ES) -- a tail expectation. Range Value at Risk (RVaR) is a natural…

统计理论 · 数学 2022-06-27 Tobias Fissler , Johanna F. Ziegel

Value-at-Risk (VaR) is an institutional measure of risk favored by financial regulators. VaR may be interpreted as a quantile of future portfolio values conditional on the information available, where the most common quantile used is 95%.…

风险管理 · 定量金融 2016-05-18 Khizar Qureshi

In this paper we discuss a general methodology to compute the market risk measure over long time horizons and at extreme percentiles, which are the typical conditions needed for estimating Economic Capital. The proposed approach extends the…

风险管理 · 定量金融 2014-08-12 Luca Spadafora , Marco Dubrovich , Marcello Terraneo

This paper presents analytical solutions to the problem of how to calculate sensible VaR (Value-at-Risk) and ES (Expected Shortfall) contributions in the CreditRisk+ methodology. Via the ES contributions, ES itself can be exactly computed…

凝聚态物理 · 物理学 2011-08-09 Alexandre Kurth , Dirk Tasche

We focus on the time-varying modeling of VaR at a given coverage $\tau$, assessing whether the quantiles of the distribution of the returns standardized by their conditional means and standard deviations exhibit predictable dynamics. Models…

风险管理 · 定量金融 2023-06-01 Fabrizio Cipollini , Giampiero M. Gallo , Alessandro Palandri

Conditional value-at-risk (CoVaR) is one of the most important measures of systemic risk. It is defined as the high quantile conditional on a related variable being extreme, widely used in the field of quantitative risk management. In this…

统计方法学 · 统计学 2026-02-12 Zhaowen Wang , Yutao Liu , Deyuan Li

We propose nonparametric estimators for conditional value-at-risk (CVaR) and conditional expected shortfall (CES) associated with conditional distributions of a series of returns on a financial asset. The return series and the conditioning…

统计方法学 · 统计学 2016-12-28 Carlos Martins-Filho , Feng Yao , Maximo Torero

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…

风险管理 · 定量金融 2026-04-16 Qiuqi Wang , Ruodu Wang , Johanna Ziegel

This research incorporates realized volatility and overnight information into risk models, wherein the overnight return often contributes significantly to the total return volatility. Extending a semi-parametric regression model based on…

风险管理 · 定量金融 2024-02-13 Cathy W. S. Chen , Takaaki Koike , Wei-Hsuan Shau

Expected Shortfall (ES) is a coherent measure of tail risk that captures the average loss beyond a quantile threshold. Despite the growing literature on ES regression conditional on covariates, no existing work considers ES modeling in…

统计方法学 · 统计学 2026-04-15 Yujie Hou , Xinbing Kong , Yalin Wang , Bin Wu

Several well-established benchmark predictors exist for Value-at-Risk (VaR), a major instrument for financial risk management. Hybrid methods combining AR-GARCH filtering with skewed-$t$ residuals and the extreme value theory-based approach…

风险管理 · 定量金融 2021-11-25 Shige Peng , Shuzhen Yang , Jianfeng Yao

Risk measures are important key figures to measure the adequacy of the reserves of a company. The most common risk measures in practice are Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR). Recently, quantum-based algorithms are…

量子物理 · 物理学 2025-01-29 Christian Laudagé , Ivica Turkalj

Given the high volatility and susceptibility to extreme events in the cryptocurrency market, forecasting tail risk is of paramount importance. Value-at-Risk (VaR), a quantile-based risk measure, is widely used for assessing tail risk and is…

统计理论 · 数学 2025-01-22 Wenchao Xu , Xinyu Zhang , Jeng-Min Chiou , Yuying Sun