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We suggest two classes of multivariate GARCH--models which are both easy to estimate and perform well in forecasting the covariance matrix of more than one hundred stocks. We apply methods from random matrix theory (RMT) to determine the…

凝聚态物理 · 物理学 2007-05-23 C. Reese , B. Rosenow

We examine the relationship between trading volumes, number of transactions, and volatility using daily stock data of the Tokyo Stock Exchange. Following the mixture of distributions hypothesis, we use trading volumes and the number of…

统计金融 · 定量金融 2018-01-19 Tetsuya Takaishi , Ting Ting Chen

In this paper, we introduce a new single model maneuvering target tracking approach using stochastic differential equation (SDE) based on GARCH volatility. The traditional input estimation (IE) techniques assume constant acceleration level…

应用统计 · 统计学 2019-02-14 Ehsan Hajiramezanali , Seyyed Hamed Fouladi , Hamidreza Amindavar

We compare systematically several classes of stochastic volatility models of stock market fluctuations. We show that the long-time return distribution is either Gaussian or develops a power-law tail, while the short-time return distribution…

统计金融 · 定量金融 2010-09-15 Frantisek Slanina

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

In this paper we study time-consistent risk measures for returns that are given by a GARCH(1,1) model. We present a construction of risk measures based on their static counterparts that overcomes the lack of time-consistency. We then study…

风险管理 · 定量金融 2016-02-02 Claudia Klüppelberg , Jianing Zhang

This paper introduces a spatiotemporal exponential generalised autoregressive conditional heteroscedasticity (spatiotemporal E-GARCH) model, extending traditional spatiotemporal GARCH models by incorporating asymmetric volatility…

应用统计 · 统计学 2025-11-10 Ariane Nidelle Meli Chrisko , Philipp Otto , Wolfgang Schmid

We construct liquidity-adjusted return and volatility using purposely designed liquidity metrics (liquidity jump and liquidity diffusion) that incorporate additional liquidity information. Based on these measures, we introduce a…

统计金融 · 定量金融 2025-03-13 Qi Deng , Zhong-guo Zhou

We assess the advantage of combining univariate and multivariate portfolio risk forecasts with the aid of forecast reconciliation techniques. In our analyzes, we assume knowledge of portfolio weights, a standard for portfolio risk…

应用统计 · 统计学 2026-04-22 Massimiliano Caporin , Daniele Girolimetto , Emanuele Lopetuso

The hybrid Monte Carlo (HMC) algorithm is used for Bayesian analysis of the generalized autoregressive conditional heteroscedasticity (GARCH) model. The HMC algorithm is one of Markov chain Monte Carlo (MCMC) algorithms and it updates all…

计算物理 · 物理学 2008-12-09 Tetsuya Takaishi

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…

统计金融 · 定量金融 2024-02-13 Pengfei Zhao , Haoren Zhu , Wilfred Siu Hung NG , Dik Lun Lee

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 study the behavior of a real-valued and unobservable process (Y_t) under an extreme event of a related process (X_t) that is observable. Our analysis is motivated by the well-known GARCH model which represents two such sequences, i.e.…

概率论 · 数学 2013-05-16 Andree Ehlert , Ulf-Rainer Fiebig , Anja Janßen , Martin Schlather

We propose a structural vector autoregressive model with a new and flexible specification of the volatility process which we call Sparse Heterogeneous Markov-Switching Heteroskedasticity. In this model, the conditional variance of each…

计量经济学 · 经济学 2026-03-18 Fei Shang , Tomasz Woźniak

For a given time horizon DT, this article explores the relationship between the realized volatility (the volatility that will occur between t and t+DT), the implied volatility (corresponding to at-the-money option with expiry at t+DT), and…

证券定价 · 定量金融 2009-01-16 Gilles Zumbach

We develop misspecification tests for building additive time-varying (ATV-)GARCH models. In the model, the volatility equation of the GARCH model is augmented by a deterministic time-varying intercept modeled as a linear combination of…

计量经济学 · 经济学 2025-07-01 Niklas Ahlgren , Alexander Back , Timo Teräsvirta

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

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

HYGARCH model is basically used to model long-range dependence in volatility. We propose Markov switch smooth-transition HYGARCH model, where the volatility in each state is a time-dependent convex combination of GARCH and FIGARCH. This…

统计理论 · 数学 2018-03-05 Ferdous Mohammadi Basatini , Saeid Rezakhah

Models for financial risk often assume that underlying asset returns are stationary. However, there is strong evidence that multivariate financial time series entail changes not only in their within-series dependence structure, but also in…

统计方法学 · 统计学 2021-03-03 Haeran Cho , Karolos Korkas