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One stylized feature of financial volatility impacting the modeling process is long memory. This paper examines long memory for alternative risk measures, observed absolute and squared returns for Daily REITs and compares the findings for a…

统计金融 · 定量金融 2011-03-29 John Cotter , Simon Stevenson

We study the long-term memory in diverse stock market indices and foreign exchange rates using the Detrended Fluctuation Analysis(DFA). For all daily and high-frequency market data studied, no significant long-term memory property is…

物理与社会 · 物理学 2008-12-02 GabJin Oh , Cheol-Jun Um , Seunghwann Kim

This note develops a stochastic model of asset volatility. The volatility obeys a continuous-time autoregressive equation. Conditions under which the process is asymptotically stationary and possesses long memory are characterised.…

证券定价 · 定量金融 2012-02-28 John A. D. Appleby , John A. Daniels , Katja Krol

The HGARCH model allows long-memory impact in volatilities. A new HGARCH model with time-varying amplitude is considered in this paper. We show the stability of the model as well. A score test is introduced to check the time-varying…

统计理论 · 数学 2018-03-21 Ferdous Mohammadi Basatini , Saeid Rezakhah

We present a new volatility model, simple to implement, that includes a leverage effect whose return-volatility correlation function fits to empirical observations. This model is able to capture both the "retarded effect" induced by the…

统计金融 · 定量金融 2020-01-03 Sebastien Valeyre , Denis Grebenkov , Sofiane Aboura , Qian Liu

This paper studies the joint role of long-memory dynamics,rough-volatility behavior, and persistence-based forecasting features in equity volatility modeling. We combine semiparametric long-memory estimation, rough-volatility diagnostics,…

统计金融 · 定量金融 2026-05-26 Akash Deep , Nicholas Appiah , Svetlozar T. Rachev

Long memory and volatility clustering are two stylized facts frequently related to financial markets. Traditionally, these phenomena have been studied based on conditionally heteroscedastic models like ARCH, GARCH, IGARCH and FIGARCH, inter…

统计金融 · 定量金融 2009-11-13 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

Volatility clustering is an important characteristic that has a significant effect on the behavior of stock markets. However, designing robust models for accurate prediction of future volatilities of stock prices is a very challenging…

计算金融 · 定量金融 2021-10-11 Jaydip Sen , Sidra Mehtab , Abhishek Dutta

We introduce a novel GARCH model that integrates two sources of uncertainty to better capture the rich, multi-component dynamics often observed in the volatility of financial assets. This model provides a quasi closed-form representation of…

计量经济学 · 经济学 2024-10-21 Luca Vincenzo Ballestra , Enzo D'Innocenzo , Christian Tezza

HYGARCH process is the commonly used long memory process in modeling the long-rang dependence in volatility. Financial time series are characterized by transition between phases of different volatility levels. The smooth transition HYGARCH…

统计计算 · 统计学 2017-01-24 Ferdous Mohammadi , Saeid Rezakhah

This study utilised the dynamics of five time-varying models to estimate six essential features of financial return volatility that are relevant for robust risk management. These features include pronounced persistence, mean reversion,…

应用统计 · 统计学 2025-03-05 Richard T. A. Samuel , Charles Chimedza , Caston Sigauke

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

Volatility is a quantity of measurement for the price movements of stocks or options which indicates the uncertainty within financial markets. As an indicator of the level of risk or the degree of variation, volatility is important to…

机器学习 · 计算机科学 2018-11-12 Qiang Zhang , Rui Luo , Yaodong Yang , Yuanyuan Liu

This work is devoted to the study of modeling geophysical and financial time series. A class of volatility models with time-varying parameters is presented to forecast the volatility of time series in a stationary environment. The modeling…

This paper presents a comparative analysis of univariate and multivariate GARCH-family models and machine learning algorithms in modeling and forecasting the volatility of major energy commodities: crude oil, gasoline, heating oil, and…

计量经济学 · 经济学 2024-05-31 Seulki Chung

In this paper, we propose an Adaptive Realized Hyperbolic GARCH (A-Realized HYGARCH) process to model the long memory of high-frequency time series with possible structural breaks. The structural change is modeled by allowing the intercept…

统计方法学 · 统计学 2021-05-03 El Hadji Mamadou Sall , El Hadji Deme , Abdou Kâ Diongue

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

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 study, both analytically and numerically, an ARCH-like, multiscale model of volatility, which assumes that the volatility is governed by the observed past price changes on different time scales. With a power-law distribution of time…

物理与社会 · 物理学 2008-12-02 L. Borland , J. -Ph. Bouchaud

This paper estimates models of high frequency index futures returns using `around the clock' 5-minute returns that incorporate the following key features: multiple persistent stochastic volatility factors, jumps in prices and volatilities,…

应用统计 · 统计学 2014-01-23 Jonathan R. Stroud , Michael S. Johannes
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