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A joint conditional autoregressive expectile and Expected Shortfall framework is proposed. The framework is extended through incorporating a measurement equation which models the contemporaneous dependence between the realized measures and…

Risk Management · Quantitative Finance 2019-06-25 Chao Wang , Richard Gerlach

The realized GARCH framework is extended to incorporate the two-sided Weibull distribution, for the purpose of volatility and tail risk forecasting in a financial time series. Further, the realized range, as a competitor for realized…

Risk Management · Quantitative Finance 2017-07-13 Chao Wang , Qian Chen , Richard Gerlach

We develop a novel multivariate semi-parametric framework for joint portfolio Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting. Unlike existing univariate semi-parametric approaches, the proposed framework explicitly models the…

Risk Management · Quantitative Finance 2024-12-23 Giuseppe Storti , Chao Wang

This paper proposes an innovative threshold measurement equation to be employed in a Realized-GARCH framework. The proposed framework incorporates a nonlinear threshold regression specification to consider the leverage effect and model the…

Risk Management · Quantitative Finance 2022-11-01 Chao Wang , Richard Gerlach

This paper compares the in-sample and out-of-sample performance of several models for computing the tail risk of one-month and one-year electricity futures contracts traded in the NordPool, French, German, and Spanish markets in 2008-2017.…

Risk Management · Quantitative Finance 2022-02-04 Juan Ignacio Peña , Rosa Rodriguez , Silvia Mayoral

Accurate forecasting of volatility and return quantiles is essential for evaluating financial tail risks such as value-at-risk and expected shortfall. This study proposes an extension of the traditional stochastic volatility model, termed…

Econometrics · Economics 2026-02-02 Makoto Takahashi , Yuta Yamauchi , Toshiaki Watanabe , Yasuhiro Omori

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…

Statistical Finance · Quantitative Finance 2020-09-29 Xiu Xu , Andrija Mihoci , Wolfgang Karl Härdle

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…

Statistical Finance · Quantitative Finance 2020-09-16 Marius Lux , Wolfgang Karl Härdle , Stefan Lessmann

We propose a non-asymptotic convergence analysis of a two-step approach to learn a conditional value-at-risk (VaR) and a conditional expected shortfall (ES) using Rademacher bounds, in a non-parametric setup allowing for heavy-tails on the…

Computational Finance · Quantitative Finance 2024-09-20 D Barrera , S Crépey , E Gobet , Hoang-Dung Nguyen , B Saadeddine

In financial risk management, Value at Risk (VaR) is widely used to estimate potential portfolio losses. VaR's limitation is its inability to account for the magnitude of losses beyond a certain threshold. Expected Shortfall (ES) addresses…

Risk Management · Quantitative Finance 2024-07-10 Federico Gatta , Fabrizio Lillo , Piero Mazzarisi

Recent financial disasters emphasised the need to investigate the consequence associated with the tail co-movements among institutions; episodes of contagion are frequently observed and increase the probability of large losses affecting…

Methodology · Statistics 2013-11-05 Mauro Bernardi , Ghislaine Gayraud , Lea Petrella

We consider the combination of value-at-risk (VaR) and expected shortfall (ES) forecasts when a large pool of candidate forecasts is available. Given the limited literature in this area, we implement a variety of new combining methods. In…

Risk Management · Quantitative Finance 2026-05-15 James W. Taylor , Chao Wang

Conditional value-at-risk (CVaR) and value-at-risk (VaR) are popular tail-risk measures in finance and insurance industries as well as in highly reliable, safety-critical uncertain environments where often the underlying probability…

Machine Learning · Computer Science 2021-06-23 Shubhada Agrawal , Wouter M. Koolen , Sandeep Juneja

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…

Statistical Mechanics · Physics 2008-12-10 Carlo Acerbi , Dirk Tasche

Risk is an inherent feature of agricultural production and marketing and accurate measurement of it helps inform more efficient use of resources. This paper examines three tail quantile-based risk measures applied to the estimation of…

Risk Management · Quantitative Finance 2011-03-31 John Cotter , Kevin Dowd , Wyn Morgan

This thesis evaluates most of the extreme mixture models and methods that have appended in the literature and implements them in the context of finance and insurance. The paper also reviews and studies extreme value theory, time series,…

General Economics · Economics 2024-07-09 Yujuan Qiu

This article proposes a novel Bayesian multivariate quantile regression to forecast the tail behavior of energy commodities, where the homoskedasticity assumption is relaxed to allow for time-varying volatility. In particular, we exploit…

Econometrics · Economics 2024-08-08 Matteo Iacopini , Francesco Ravazzolo , Luca Rossini

Value at risk and expected shortfall are increasingly popular tail risk measures in the financial risk management field. Both academia and financial institutions are working to improve tail risk forecasts in order to meet the requirements…

Risk Management · Quantitative Finance 2022-02-23 Zhengkun Li

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

In this paper, we propose the realized Hyperbolic GARCH model for the joint-dynamics of lowfrequency returns and realized measures that generalizes the realized GARCH model of Hansen et al.(2012) as well as the FLoGARCH model introduced by…

Methodology · Statistics 2021-04-27 El Hadji Mamadou Sall , El Hadji Deme , Abdou Ka Diongue