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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…

统计金融 · 定量金融 2020-10-16 Yeguang Chi , Wenyan Hao

In this paper, we show that the recent integration of statistical models with deep recurrent neural networks provides a new way of formulating volatility (the degree of variation of time series) models that have been widely used in time…

机器学习 · 计算机科学 2018-12-06 Rui Luo , Weinan Zhang , Xiaojun Xu , Jun Wang

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

Matrix-variate time series data are largely available in applications. However, no attempt has been made to study their conditional heteroskedasticity that is often observed in economic and financial data. To address this gap, we propose a…

统计方法学 · 统计学 2023-06-09 Cheng Yu , Dong Li , Feiyu Jiang , Ke Zhu

In this paper, we analyze the time-series of minute price returns on the Bitcoin market through the statistical models of generalized autoregressive conditional heteroskedasticity (GARCH) family. Several mathematical models have been…

统计金融 · 定量金融 2021-02-01 Irena Barjašić , Nino Antulov-Fantulin

This paper examines volatility in REITs using a multivariate GARCH based model. The Multivariate VAR-GARCH technique documents the return and volatility linkages between REIT sub-sectors and also examines the influence of other US equity…

统计金融 · 定量金融 2011-03-30 John Cotter , Simon Stevenson

Price range contains important information about the asset volatility, and has long been considered an important indicator for it. In this paper, we propose to jointly model the [low, high] price range as a random interval and introduce an…

统计方法学 · 统计学 2015-02-18 Yan Sun , Jennifer Loveland , Isaac Blackhurst

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 investigate a solution for the problems related to the application of multivariate GARCH models to markets with a large number of stocks by restricting the form of the conditional covariance matrix. The model is a factor model and uses…

综合金融 · 定量金融 2021-12-03 Matthias Raddant , Friedrich Wagner

Heteroskedasticity is a common feature of financial time series and is commonly addressed in the model building process through the use of ARCH and GARCH processes. More recently multivariate variants of these processes have been in the…

统计方法学 · 统计学 2015-12-18 Alexander Aue , Lajos Horvath , Daniel Pellatt

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…

统计理论 · 数学 2018-01-01 Stephan Haug , Claudia Klüppelberg , German Straub

We employ single-qubit quantum circuit learning (QCL) to model the dynamics of volatility time series. To assess its effectiveness, we generate synthetic data using the Rational GARCH model, which is specifically designed to capture…

计算金融 · 定量金融 2026-04-29 Tetsuya Takaishi

This study aims to compare multiple deep learning-based forecasters for the task of predicting volatility using multivariate data. The paper evaluates a range of models, starting from simpler and shallower ones and progressing to deeper and…

统计金融 · 定量金融 2023-06-26 Wenbo Ge , Pooia Lalbakhsh , Leigh Isai , Artem Lensky , Hanna Suominen

We introduce a new volatility model for option pricing that combines Markov switching with the Realized GARCH framework. This leads to a novel pricing kernel with a state-dependent variance risk premium and a pricing formula for European…

证券定价 · 定量金融 2022-04-15 Chen Tong , Peter Reinhard Hansen , Zhuo Huang

Various parametric volatility models for financial data have been developed to incorporate high-frequency realized volatilities and better capture market dynamics. However, because high-frequency trading data are not available during the…

统计金融 · 定量金融 2022-06-20 Donggyu Kim , Minseok Shin , Yazhen Wang

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…

计算金融 · 定量金融 2021-10-19 Curtis Nybo

This paper introduces novel volatility diffusion models to account for the stylized facts of high-frequency financial data such as volatility clustering, intra-day U-shape, and leverage effect. For example, the daily integrated volatility…

统计方法学 · 统计学 2022-06-01 Donggyu Kim , Minseok Shin

Several academics have studied the ability of hybrid models mixing univariate Generalized Autoregressive Conditional Heteroskedasticity (GARCH) models and neural networks to deliver better volatility predictions than purely econometric…

统计金融 · 定量金融 2021-09-03 Lucien Boulet

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…

应用统计 · 统计学 2021-12-17 Kejin Wu , Sayar Karmakar

We consider closed-form approximations for European put option prices within the Heston and GARCH diffusion stochastic volatility models with time-dependent parameters. Our methodology involves writing the put option price as an expectation…

数理金融 · 定量金融 2024-02-06 Kaustav Das , Nicolas Langrené