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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,…

Applications · Statistics 2025-03-05 Richard T. A. Samuel , Charles Chimedza , Caston Sigauke

Accurate prediction of financial market volatility is critical for risk management, derivatives pricing, and investment strategy. In this study, we propose a multitude of regime-switching methods to improve the prediction of S&P 500…

Statistical Finance · Quantitative Finance 2025-10-07 Ava C. Blake , Nivika A. Gandhi , Anurag R. Jakkula

Time variation and persistence are crucial properties of volatility that are often studied separately in energy volatility forecasting models. Here, we propose a novel approach that allows shocks with heterogeneous persistence to vary…

General Finance · Quantitative Finance 2024-07-09 Jozef Barunik , Lukas Vacha

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…

Statistical Finance · Quantitative Finance 2011-03-29 John Cotter , Simon Stevenson

We propose a novel framework for modeling time-varying persistence in economic time series, allowing for smoothly evolving heterogeneity in shock dynamics. We leverage localized regression techniques to flexibly identify changes in…

General Finance · Quantitative Finance 2025-06-06 Jozef Barunik , Lukas Vacha

We introduce a new class of continuous-time models of the stochastic volatility of asset prices. The models can simultaneously incorporate roughness and slowly decaying autocorrelations, including proper long memory, which are two stylized…

Statistical Finance · Quantitative Finance 2021-01-06 Mikkel Bennedsen , Asger Lunde , Mikko S. Pakkanen

Accurate volatility forecasting is essential in banking, investment, and risk management, because expectations about future market movements directly influence current decisions. This study proposes a hybrid modelling framework that…

Trading and Market Microstructure · Quantitative Finance 2025-12-16 Anna Perekhodko , Robert Ślepaczuk

Estimating volatility from recent high frequency data, we revisit the question of the smoothness of the volatility process. Our main result is that log-volatility behaves essentially as a fractional Brownian motion with Hurst exponent H of…

Statistical Finance · Quantitative Finance 2014-10-14 Jim Gatheral , Thibault Jaisson , Mathieu Rosenbaum

Agents' heterogeneity is recognized as a driver mechanism for the persistence of financial volatility. We focus on the multiplicity of investment strategies' horizons, we embed this concept in a continuous time stochastic volatility…

Statistical Finance · Quantitative Finance 2013-04-04 Danilo Delpini , Giacomo Bormetti

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…

Trading and Market Microstructure · Quantitative Finance 2024-07-25 Natalia Roszyk , Robert Ślepaczuk

In Gatheral et al. 2018, first posted in 2014, volatility is characterized by fractional behavior with a Hurst exponent $H < 0.5$, challenging traditional views of volatility dynamics. Gatheral et al. demonstrated this using realized…

Statistical Finance · Quantitative Finance 2024-09-06 Saad Mouti

Accurate volatility modelling is paramount for optimal risk management practices. One stylized feature of financial volatility that impacts the modelling process is long memory explored in this paper for alternative risk measures, observed…

Statistical Finance · Quantitative Finance 2011-03-30 John Cotter

Volatility forecasting in financial markets is a topic that has received more attention from scholars. In this paper, we propose a new volatility forecasting model that combines the heterogeneous autoregressive (HAR) model with a family of…

Risk Management · Quantitative Finance 2025-11-04 Xiangdong Liu , Sicheng Fu , Shaopeng Hong

Stock market volatility forecasting is a task relevant to assessing market risk. We investigate the interaction between news and prices for the one-day-ahead volatility prediction using state-of-the-art deep learning approaches. The…

Statistical Finance · Quantitative Finance 2018-12-31 Marcelo Sardelich , Suresh Manandhar

Volatility prediction for financial assets is one of the essential questions for understanding financial risks and quadratic price variation. However, although many novel deep learning models were recently proposed, they still have a "hard…

Computational Finance · Quantitative Finance 2022-02-24 German Rodikov , Nino Antulov-Fantulin

Rough volatility models are continuous time stochastic volatility models where the volatility process is driven by a fractional Brownian motion with the Hurst parameter smaller than half, and have attracted much attention since a seminal…

Statistics Theory · Mathematics 2019-05-20 Masaaki Fukasawa , Tetsuya Takabatake , Rebecca Westphal

Macroeconomic variables are known to significantly impact equity markets, but their predictive power for price fluctuations has been underexplored due to challenges such as infrequency and variability in timing of announcements, changing…

General Finance · Quantitative Finance 2025-03-26 Martina Halousková , Štefan Lyócsa

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…

Statistical Finance · Quantitative Finance 2009-11-13 Sonia R. Bentes , Rui Menezes , Diana A. Mendes

Volatility prediction in the financial market helps to understand the profit and involved risks in investment. However, due to irregularities, high fluctuations, and noise in the time series, predicting volatility poses a challenging task.…

Computational Finance · Quantitative Finance 2022-11-02 Suchetana Sadhukhan , Shiv Manjaree Gopaliya , Pushpdant Jain

We have applied a Long Short-Term Memory neural network to model S&P 500 volatility, incorporating Google domestic trends as indicators of the public mood and macroeconomic factors. In a held-out test set, our Long Short-Term Memory model…

Computational Finance · Quantitative Finance 2016-02-17 Ruoxuan Xiong , Eric P. Nichols , Yuan Shen
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