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This paper proposes a novel conditional heteroscedastic time series model by applying the framework of quantile regression processes to the ARCH(\infty) form of the GARCH model. This model can provide varying structures for conditional…

统计方法学 · 统计学 2023-11-14 Qianqian Zhu , Songhua Tan , Yao Zheng , Guodong Li

The Value-at-Risk (VaR) is a widely used instrument in financial risk management. The question of estimating the VaR of loss return distributions at extreme levels is an important question in financial applications, both from operational…

应用统计 · 统计学 2021-04-21 Hibiki Kaibuchi , Yoshinori Kawasaki , Gilles Stupfler

Count time series data are frequently analyzed by modeling their conditional means and the conditional variance is often considered to be a deterministic function of the corresponding conditional mean and is not typically modeled…

统计方法学 · 统计学 2024-04-30 Tianqing Liu , Xiaohui Yuan

The volatility of financial instruments is rarely constant, and usually varies over time. This creates a phenomenon called volatility clustering, where large price movements on one day are followed by similarly large movements on successive…

统计金融 · 定量金融 2015-05-08 Gordon J. Ross

The $GARCH$ algorithm is the most renowned generalisation of Engle's original proposal for modelising {\it returns}, the $ARCH$ process. Both cases are characterised by presenting a time dependent and correlated variance or {\it…

统计力学 · 物理学 2009-11-11 Silvio M. Duarte Queiros , Constantino Tsallis

AutoRegressive Conditional Heteroscedasticity (ARCH) models are standard for modeling time series exhibiting volatility, with a rich literature in univariate and multivariate settings. In recent years, these models have been extended to…

统计方法学 · 统计学 2026-03-19 Alexander Aue , Sebastian Kühnert , Gregory Rice , Jeremy VanderDoes

This study was conducted to find an appropriate statistical model to forecast the volatilities of PSEi using the model Generalized Autoregressive Conditional Heteroskedasticity (GARCH). Using the R software, the log returns of PSEi is…

统计金融 · 定量金融 2019-04-02 Novy Ann M. Etac , Roel F. Ceballos

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

We propose a continuous-time Markov-switching generalized autoregressive conditional heteroskedasticity (COMS-GARCH) process for handling irregularly spaced time series (TS) with multiple volatilities states. We employ a Gibbs sampler in…

统计方法学 · 统计学 2020-12-15 Yinan Li , Fang Liu

We propose a hybrid model of portfolio credit risk where the dynamics of the underlying latent variables is governed by a one factor GARCH process. The distinctive feature of such processes is that the long-term aggregate return…

证券定价 · 定量金融 2010-01-07 Arthur M. Berd , Robert F. Engle , Artem Voronov

Realised volatility has become increasingly prominent in volatility forecasting due to its ability to capture intraday price fluctuations. With a growing variety of realised volatility estimators, each with unique advantages and…

风险管理 · 定量金融 2024-11-27 Qianli Zhao , Chao Wang , Richard Gerlach , Giuseppe Storti , Lingxiang Zhang

Volatility clustering and spillovers are key features of real-world financial time series when there are a lot of cross-sectional financial assets. While network analysis helps connect stocks that are 'similar' or 'correlated', which is…

统计方法学 · 统计学 2025-10-22 Peiyi Zhou

We introduce a pricing kernel with time-varying volatility risk aversion to explain observed time variations in the shape of the pricing kernel. When combined with the Heston-Nandi GARCH model, this framework yields a tractable option…

证券定价 · 定量金融 2025-03-11 Peter Reinhard Hansen , Chen Tong

Volatility clustering is a crucial property that has a substantial impact on stock market patterns. Nonetheless, developing robust models for accurately predicting future stock price volatility is a difficult research topic. For predicting…

计算金融 · 定量金融 2025-05-20 Ananda Chatterjee , Hrisav Bhowmick , Jaydip Sen

The AutoRegressive Conditional Heteroskedasticity (ARCH) and its generalized version (GARCH) family of models have grown to encompass a wide range of specifications, each of them is designed to enhance the ability of the model to capture…

数据分析、统计与概率 · 物理学 2007-05-23 G. R. Jafari , A. Bahraminasab , P. Norouzzadeh

This paper introduces one new multivariate volatility model that can accommodate an appropriately defined network structure based on low-frequency and high-frequency data. The model reduces the number of unknown parameters and the…

统计金融 · 定量金融 2022-04-28 Huiling Yuan , Guodong Li , Junhui Wang

Predicting the S&P 500 index volatility is crucial for investors and financial analysts as it helps assess market risk and make informed investment decisions. Volatility represents the level of uncertainty or risk related to the size of…

交易与市场微观结构 · 定量金融 2024-07-25 Natalia Roszyk , Robert Ślepaczuk

We provide a simple method to estimate the parameters of multivariate stochastic volatility models with latent factor structures. These models are very useful as they alleviate the standard curse of dimensionality, allowing the number of…

计量经济学 · 经济学 2023-02-15 Giorgio Calzolari , Roxana Halbleib , Christian Mücher

This paper develops the first closed-form optimal portfolio allocation formula for a spot asset whose variance follows a GARCH(1,1) process. We consider an investor with constant relative risk aversion (CRRA) utility who wants to maximize…

投资组合管理 · 定量金融 2021-09-02 Marcos Escobar-Anel , Maximilian Gollart , Rudi Zagst

This paper applies the realized exponential generalized autoregressive conditional heteroskedasticity (REGARCH) model to analyze the Nikkei 225 index from 2010 to 2017, utilizing realized variance (RV) and realized range-based volatility…

计量经济学 · 经济学 2025-02-12 Yaming Chang