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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

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

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

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

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

Models for financial risk often assume that underlying asset returns are stationary. However, there is strong evidence that multivariate financial time series entail changes not only in their within-series dependence structure, but also in…

统计方法学 · 统计学 2021-03-03 Haeran Cho , Karolos Korkas

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

Under the framework of dynamic conditional score, we propose a parametric forecasting model for Value-at-Risk based on the normal inverse Gaussian distribution (Hereinafter NIG-DCS-VaR), which creatively incorporates intraday information…

风险管理 · 定量金融 2021-10-07 Shijia Song , Handong Li

Range-measured return contains more information than the traditional scalar-valued return. In this paper, we propose to model the [low, high] price range as a random interval and suggest an interval-valued GARCH (Int-GARCH) model for the…

统计方法学 · 统计学 2019-01-11 Yan Sun , Guanghua Lian , Zudi Lu , Jennifer Loveland , Isaac Blackhurst

In this paper, we develop a hybrid approach to forecasting the volatility and risk of financial instruments by combining common econometric GARCH time series models with deep learning neural networks. For the latter, we employ Gated…

风险管理 · 定量金融 2023-10-03 Jakub Michańków , Łukasz Kwiatkowski , Janusz Morajda

This paper provides an insight to the time-varying dynamics of the shape of the distribution of financial return series by proposing an exponential weighted moving average model that jointly estimates volatility, skewness and kurtosis over…

风险管理 · 定量金融 2012-06-08 A. Gabrielsen , P. Zagaglia , A. Kirchner , Z. Liu

Value-at-risk (VaR) is an established measure to assess risks in critical real-world applications with random environmental factors. This paper presents a novel VaR upper confidence bound (V-UCB) algorithm for maximizing the VaR of a…

机器学习 · 计算机科学 2021-05-14 Quoc Phong Nguyen , Zhongxiang Dai , Bryan Kian Hsiang Low , Patrick Jaillet

Risk aversion is a key element of utility maximizing hedge strategies; however, it has typically been assigned an arbitrary value in the literature. This paper instead applies a GARCH-in-Mean (GARCH-M) model to estimate a time-varying…

风险管理 · 定量金融 2011-03-31 John Cotter , Jim Hanly

SVR-GARCH model tends to "backward eavesdrop" when forecasting the financial time series volatility in which case it tends to simply produce the prediction by deviating the previous volatility. Though the SVR-GARCH model has achieved good…

统计金融 · 定量金融 2022-06-23 Jun Lu , Shao Yi

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…

统计方法学 · 统计学 2024-10-17 Jacinto Martín , M. Isabel Parra , Eva L. Sanjuán , Mario M. Pizarro

One of the most important features of financial time series data is volatility. There are often structural changes in volatility over time, and an accurate estimation of the volatility of financial time series requires careful…

统计方法学 · 统计学 2022-10-24 Huaiyu Hu , Ashis Gangopadhyay

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

统计方法学 · 统计学 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

We show how one can actually take advantage of the strongly non-Gaussian nature of the fluctuations of financial assets to simplify the calculation of the Value-at-Risk of complex non linear portfolios. The resulting equations are not hard…

凝聚态物理 · 物理学 2007-05-23 Jean-Philippe Bouchaud , Marc Potters

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might lack structural properties such as convexity or…

最优化与控制 · 数学 2016-08-03 Helin Zhu , Joshua Hale , Enlu Zhou

We introduce a semiparametric approach for forecasting Value-at-Risk (VaR) and Expected Shortfall (ES) by modeling the conditional scale of financial returns, defined as the difference between two specified quantiles, via restricted…

计量经济学 · 经济学 2026-03-18 Xiaochun Liu , Richard Luger
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