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Two formulations are proposed to filter out correlations in the residuals of the multivariate GARCH model. The first approach is to estimate the correlation matrix as a parameter and transform any joint distribution to have an arbitrary…

Statistical Finance · Quantitative Finance 2024-11-14 Kenichiro Shiraya , Kanji Suzuki , Tomohisa Yamakami

We construct fractionally integrated continuous-time GARCH models, which capture the observed long range dependence of squared volatility in high-frequency data. Since the usual Molchan-Golosov and Mandelbrot-van-Ness fractional kernels…

Statistics Theory · Mathematics 2018-01-01 Stephan Haug , Claudia Klüppelberg , German Straub

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

A semi-parametric joint Value-at-Risk (VaR) and Expected Shortfall (ES) forecasting framework employing multiple realized measures is developed. The proposed framework extends the realized exponential GARCH model to be semi-parametrically…

Risk Management · Quantitative Finance 2024-12-06 Rangika Peiris , Chao Wang , Richard Gerlach , Minh-Ngoc Tran

We propose a novel method to quantify the clustering behavior in a complex time series and apply it to a high-frequency data of the financial markets. We find that regardless of used data sets, all data exhibits the volatility clustering…

Statistical Finance · Quantitative Finance 2008-12-02 Gabjin Oh , Seunghwan Kim , Cheoljun Eom , Taehyuk Kim

Predicting volatility in financial markets, including stocks, index ETFs, foreign exchange, and cryptocurrencies, remains a challenging task due to the inherent complexity and non-linear dynamics of these time series. In this study, I apply…

Statistical Finance · Quantitative Finance 2024-10-17 Alex Li

The fundamental theorem behind financial markets is that stock prices are intrinsically complex and stochastic. One of the complexities is the volatility associated with stock prices. Volatility is a tendency for prices to change…

Statistical Finance · Quantitative Finance 2023-11-21 Leonard Mushunje , Maxwell Mashasha , Edina Chandiwana

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

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…

Econometrics · Economics 2023-02-15 Giorgio Calzolari , Roxana Halbleib , Christian Mücher

This paper introduces a novel Ito diffusion process to model high-frequency financial data, which can accommodate low-frequency volatility dynamics by embedding the discrete-time non-linear exponential GARCH structure with log-integrated…

Econometrics · Economics 2021-11-09 Donggyu Kim

Identifying the instances of jumps in a discrete-time-series sample of a jump diffusion model is a challenging task. We have developed a novel statistical technique for jump detection and volatility estimation in a return time series data…

Statistical Finance · Quantitative Finance 2022-03-22 Milan Kumar Das , Anindya Goswami , Sharan Rajani

Volatility, as a measure of uncertainty, plays a crucial role in numerous financial activities such as risk management. The Econometrics and Machine Learning communities have developed two distinct approaches for financial volatility…

Statistical Finance · Quantitative Finance 2024-02-13 Pengfei Zhao , Haoren Zhu , Wilfred Siu Hung NG , Dik Lun Lee

Modeling the time-varying covariance structures of high-dimensional variables is critical across diverse scientific and industrial applications; however, existing approaches exhibit notable limitations in either modeling flexibility or…

Methodology · Statistics 2026-01-21 Taehee Lee , Jun S. Liu

The existing publications demonstrate that the limit order book data is useful in predicting short-term volatility in stock markets. Since stocks are not independent, changes on one stock can also impact other related stocks. In this paper,…

Computational Finance · Quantitative Finance 2022-11-02 Qinkai Chen , Christian-Yann Robert

We present a new class of Bayesian dynamic models for bivariate price-realized volatility time series in financial forecasting. A novel dynamic gamma process model adopted for realized volatility is integrated with traditional Bayesian…

Methodology · Statistics 2026-05-13 Patrick Woitschig , Mike West

This paper proposes a novel hybrid model, termed GARCH-FIS, for recursive rolling multi-step forecasting of financial time series. It integrates a Fuzzy Inference System (FIS) with a Generalized Autoregressive Conditional Heteroskedasticity…

Machine Learning · Computer Science 2026-03-17 Wen-Jing Li , Da-Qing Zhang

This paper examines how shocks to currency volatilities predict exchange rates. Using option-implied volatilities, we construct a dynamic, directed network of volatility connections. Currencies that transmit more volatility shocks, which…

General Finance · Quantitative Finance 2026-03-12 Mykola Babiak , Jozef Barunik

Volatility forecasting plays an important role in the financial econometrics. Previous works in this regime are mainly based on applying various GARCH-type models. However, it is hard for people to choose a specific GARCH model which works…

Applications · Statistics 2021-12-17 Kejin Wu , Sayar Karmakar

Recently artificial neural networks (ANNs) have seen success in volatility prediction, but the literature is divided on where an ANN should be used rather than the common GARCH model. The purpose of this study is to compare the volatility…

Computational Finance · Quantitative Finance 2021-10-19 Curtis Nybo

We test various volatility models using the Bitcoin spot price series. Our models include HIST, EMA ARCH, GARCH, and EGARCH, models. Both of our in-sample-fit and out-of-sample-forecast results suggest that GARCH and EGARCH models perform…

Statistical Finance · Quantitative Finance 2020-10-16 Yeguang Chi , Wenyan Hao
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