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The heterogeneous autoregressive (HAR) model is revised by modeling the joint distribution of the four partial-volatility terms therein involved. Namely, today's, yesterday's, last week's and last month's volatility components. The joint…

Econometrics · Economics 2019-07-22 Martin Magris

We examine whether model-based spot volatility estimators extracted from traded options data enhance the predictive power of the Heterogeneous Autoregressive (HAR) model for realized volatility. Specifically, we infer spot volatility under…

Risk Management · Quantitative Finance 2026-04-13 Zheqi Fan , Meng Melody Wang , Yifan Ye

It is an important task to model realized volatilities for high-frequency data in finance and economics and, as arguably the most popular model, the heterogeneous autoregressive (HAR) model has dominated the applications in this area.…

Methodology · Statistics 2023-03-07 Huiling Yuan , Kexin Lu , Yifeng Guo , Guodong Li

This paper introduces an innovative realized volatility (RV) forecasting framework that extends the conventional Heterogeneous autoregressive (HAR) model via integrating Graph Signal Processing (GSP). The study first evaluates various…

General Finance · Quantitative Finance 2025-09-18 Zhengyang Chi , Junbin Gao , Chao Wang

We investigate the predictive abilities of the heterogeneous autoregressive (HAR) model compared to machine learning (ML) techniques across an unprecedented dataset of 1,455 stocks. Our analysis focuses on the role of fitting schemes,…

Statistical Finance · Quantitative Finance 2024-06-13 Francesco Audrino , Jonathan Chassot

Despite the impressive success of deep neural networks in many application areas, neural network models have so far not been widely adopted in the context of volatility forecasting. In this work, we aim to bridge the conceptual gap between…

Econometrics · Economics 2022-05-17 Rafael Reisenhofer , Xandro Bayer , Nikolaus Hautsch

This project introduces the GNAR-HARX model, which combines Generalised Network Autoregressive (GNAR) structure with Heterogeneous Autoregressive (HAR) dynamics and exogenous predictors such as implied volatility. The model is designed for…

Applications · Statistics 2025-10-29 Tom Ó Nualláin

Both Hawkes processes and autoregressive processes rely on linear functionals of their past, while modeling different types of data. Since datasets arising from observations of the same phenomenon may be heterogeneous and sampled at…

Probability · Mathematics 2026-05-28 Théo Leblanc

Using high frequency data, we have studied empirically the change of volatility, also called volatility derivative, for various time horizons. In particular, the correlation between the volatility derivative and the volatility realized in…

Statistical Mechanics · Physics 2009-11-07 Gilles Zumbach , Paul Lynch

This paper investigates the dynamics of risk transmission in cryptocurrency markets and proposes a novel framework for volatility forecasting. The framework uncovers two key empirical facts: the asymmetric amplification of volatility…

General Economics · Economics 2025-07-31 Sicheng Fu , Fangfang Zhu , Xiangdong Liu

A long memory and non-linear realized volatility model class is proposed for direct Value at Risk (VaR) forecasting. This model, referred to as RNN-HAR, extends the heterogeneous autoregressive (HAR) model, a framework known for efficiently…

Risk Management · Quantitative Finance 2024-08-27 Rangika Peiris , Minh-Ngoc Tran , Chao Wang , Richard Gerlach

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

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,…

Statistical Finance · Quantitative Finance 2026-05-26 Akash Deep , Nicholas Appiah , Svetlozar T. Rachev

This paper presents a novel dynamic network autoregressive conditional heteroscedasticity (ARCH) model based on spatiotemporal ARCH models to forecast volatility in the US stock market. To improve the forecasting accuracy, the model…

Applications · Statistics 2023-03-21 Raffaele Mattera , Philipp Otto

We apply machine learning models to forecast intraday realized volatility (RV), by exploiting commonality in intraday volatility via pooling stock data together, and by incorporating a proxy for the market volatility. Neural networks…

Statistical Finance · Quantitative Finance 2023-02-28 Chao Zhang , Yihuang Zhang , Mihai Cucuringu , Zhongmin Qian

We inspect how accurate machine learning (ML) is at forecasting realized variance of the Dow Jones Industrial Average index constituents. We compare several ML algorithms, including regularization, regression trees, and neural networks, to…

Econometrics · Economics 2026-01-21 Kim Christensen , Mathias Siggaard , Bezirgen Veliyev

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

Purpose: This study introduces a novel framework for identifying and exploiting predictive lead-lag relationships in financial markets. We propose an integrated approach that combines advanced statistical methodologies with machine learning…

Statistical Finance · Quantitative Finance 2025-07-15 Ivan Letteri

We present a novel methodology for modeling and forecasting multivariate realized volatilities using customized graph neural networks to incorporate spillover effects across stocks. The proposed model offers the benefits of incorporating…

Statistical Finance · Quantitative Finance 2023-08-04 Chao Zhang , Xingyue Pu , Mihai Cucuringu , Xiaowen Dong

We investigate methods for forecasting multivariate realized covariances matrices applied to a set of 30 assets that were included in the DJ30 index at some point, including two novel methods that use existing (univariate) log of realized…

Econometrics · Economics 2024-12-17 Matias Quiroz , Laleh Tafakori , Hans Manner
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