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Value-at-risk (VaR) and expected shortfall (ES) are two commonly utilized metrics for quantifying financial risk. In this study, we review the widely employed Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models. These…

统计计算 · 统计学 2024-05-14 Kanon Kamronnaher , Andrew Bellucco , Whitney K. Huang , Colin M. Gallagher

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

This paper proposes analytic forms of portfolio CoVaR and CoCVaR on the normal tempered stable market model. Since CoCVaR captures the relative risk of the portfolio with respect to a benchmark return, we apply it to the relative portfolio…

投资组合管理 · 定量金融 2023-03-29 Young Shin Kim

In this paper we study time-consistent risk measures for returns that are given by a GARCH(1,1) model. We present a construction of risk measures based on their static counterparts that overcomes the lack of time-consistency. We then study…

风险管理 · 定量金融 2016-02-02 Claudia Klüppelberg , Jianing Zhang

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…

风险管理 · 定量金融 2018-05-23 Richard Gerlach , Chao Wang

This paper studies multivariate Value-at-Risk (VaR) for financial portfolios with a focus on modeling dependence structures through Archimedean copulas. Using the generator representation of Archimedean copulas, we derive explicit…

统计方法学 · 统计学 2026-02-03 Dotamana Yéo , Saralees Nadarajah , Amadou Sawadogo

A method for quantile-based, semi-parametric historical simulation estimation of multiple step ahead Value-at-Risk (VaR) and Expected Shortfall (ES) models is developed. It uses the quantile loss function, analogous to how the…

统计金融 · 定量金融 2025-03-06 Richard Gerlach , Antonio Naimoli , Giuseppe Storti

The subject of the present article is the study of correlations between large insurance companies and their contribution to systemic risk in the insurance sector. Our main goal is to analyze the conditional structure of the correlation on…

综合经济学 · 经济学 2019-05-10 Anna Denkowska , Stanisław Wanat

The two popular systemic risk measures CoVaR (Conditional Value-at-Risk) and CoES (Conditional Expected Shortfall) have recently been receiving growing attention on applications in economics and finance. In this paper, we study the…

统计方法学 · 统计学 2026-01-21 Qingzhao Zhong

We consider calculation of capital requirements when the underlying economic scenarios are determined by simulatable risk factors. In the respective nested simulation framework, the goal is to estimate portfolio tail risk, quantified via…

风险管理 · 定量金融 2018-05-18 Michael Ludkovski , James Risk

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

This paper considers the specification of covariance structures with tail estimates. We focus on two aspects: (i) the estimation of the VaR-CoVaR risk matrix in the case of larger number of time series observations than assets in a…

计量经济学 · 经济学 2023-07-25 Christis Katsouris

This paper proposes a semiparametric joint VaRES framework driven by realized information, mo tivated by the economic mechanisms underlying tail risk generation. Building on the CAViaR quantile recursion, the model introduces a dynamic…

综合经济学 · 经济学 2026-01-06 Sicheng Fu

We show how to reduce the problem of computing VaR and CVaR with Student T return distributions to evaluation of analytical functions of the moments. This allows an analysis of the risk properties of systems to be carefully attributed…

投资组合管理 · 定量金融 2011-03-01 William T. Shaw

Value-at-Risk and its conditional allegory, which takes into account the available information about the economic environment, form the centrepiece of the Basel framework for the evaluation of market risk in the banking sector. In this…

统计方法学 · 统计学 2019-10-03 Gery Geenens , Richard Dunn

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

We propose a novel class of multivariate GARCH models that incorporate realized measures of volatility and correlations. The key innovation is an unconstrained vector parametrization of the conditional correlation matrix, which enables the…

计量经济学 · 经济学 2025-02-07 Ilya Archakov , Peter Reinhard Hansen , Asger Lunde

In this paper, we investigate risk measures such as value at risk (VaR) and the conditional tail expectation (CTE) of the extreme (maximum and minimum) and the aggregate (total) of two dependent risks. In finance, insurance and the other…

风险管理 · 定量金融 2021-02-01 Suman Thapa , Yiqiang Q. Zhao

This report presents a comprehensive evaluation of three Value-at-Risk (VaR) modeling approaches: Historical Simulation (HS), GARCH with Normal approximation (GARCH-N), and GARCH with Filtered Historical Simulation (FHS), using both…

风险管理 · 定量金融 2025-10-06 Xin Tian

In an environment of increasingly volatile financial markets, the accurate estimation of risk remains a major challenge. Traditional econometric models, such as GARCH and its variants, are based on assumptions that are often too rigid to…

人工智能 · 计算机科学 2025-08-19 Fredy Pokou , Jules Sadefo Kamdem , François Benhmad