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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…

Methodology · Statistics 2022-06-01 Donggyu Kim , Minseok Shin

Volatility of financial stock is referring to the degree of uncertainty or risk embedded within a stock's dynamics. Such risk has been received huge amounts of attention from diverse financial researchers. By following the concept of…

Statistical Finance · Quantitative Finance 2021-10-25 Xiaodong Wang , Fushing Hsieh

We address the attribution problem for apparent slow collective dynamics: is the observed persistence intrinsic, or inherited from a persistent driver? For the leading eigenvalue fraction $\psi_1=\lambda_{\max}/N$ of S\&P 500 60-day rolling…

Computational Finance · Quantitative Finance 2026-03-17 Yuda Bi , Vince D Calhoun

Although stochastic volatility and GARCH (generalized autoregressive conditional heteroscedasticity) models have successfully described the volatility dynamics of univariate asset returns, extending them to the multivariate models with…

Econometrics · Economics 2020-10-09 Yuta Yamauchi , Yasuhiro Omori

In this paper, we are interested in testing if the volatility process is constant or not during a given time span by using high-frequency data with the presence of jumps and microstructure noise. Based on estimators of integrated volatility…

Econometrics · Economics 2020-10-16 Qiang Liu , Zhi Liu , Chuanhai Zhang

This paper develops a new method for voltage instability prediction using a recurrent neural network with long short-term memory. The method is aimed to be used as a supplementary warning system for system operators, capable of assessing…

Systems and Control · Electrical Eng. & Systems 2019-08-16 Hannes Hagmar , Lang Tong , Robert Eriksson , Le Anh Tuan

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

We test whether simple, interpretable state variables-trend and momentum-can generate durable out-of-sample alpha in one of the world's most liquid assets, gold. Using a rolling 10-year training and 6-month testing walk-forward from 2015 to…

Trading and Market Microstructure · Quantitative Finance 2025-11-12 Mainak Singha , Jose Aguilera-Toste , Vinayak Lahiri

This paper introduces a unified approach for modeling high-frequency financial data that can accommodate both the continuous-time jump-diffusion and discrete-time realized GARCH model by embedding the discrete realized GARCH structure in…

Methodology · Statistics 2020-06-16 Xinyu Song , Donggyu Kim , Huiling Yuan , Xiangyu Cui , Zhiping Lu , Yong Zhou , Yazhen Wang

Technical trading rules have been widely used by practitioners in financial markets for a long time. The profitability remains controversial and few consider the stationarity of technical indicators used in trading rules. We convert MA, KDJ…

Statistical Finance · Quantitative Finance 2018-01-17 Jing-Chao Chen , Yu Zhou , Xi Wang

This paper applies an AR(1)-GARCH (1, 1) process to detail the conditional distributions of the return distributions for the S&P500, FT100, DAX, Hang Seng, and Nikkei225 futures contracts. It then uses the conditional distribution for these…

Risk Management · Quantitative Finance 2011-03-29 John Cotter , Kevin Dowd

Regarding the intraday sequence of high frequency returns of the S&P index as daily realizations of a given stochastic process, we first demonstrate that the scaling properties of the aggregated return distribution can be employed to define…

Trading and Market Microstructure · Quantitative Finance 2013-07-16 Fulvio Baldovin , Francesco Camana , Massimiliano Caporin , Michele Caraglio , Attilio L. Stella

For a semi-martingale $X_t$, which forms a stochastic boundary, a rate-optimal estimator for its quadratic variation $\langle X, X \rangle_t$ is constructed based on observations in the vicinity of $X_t$. The problem is embedded in a…

Probability · Mathematics 2015-11-24 Markus Bibinger , Moritz Jirak , Markus Reiß

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

To reject the Efficient Market Hypothesis a set of 5 technical indicators and 23 fundamental indicators was identified to establish the possibility of generating excess returns on the stock market. Leveraging these data points and various…

Statistical Finance · Quantitative Finance 2021-03-17 Jaideep Singh , Matloob Khushi

We study the return interval $\tau$ between price volatilities that are above a certain threshold $q$ for 31 intraday datasets, including the Standard & Poor's 500 index and the 30 stocks that form the Dow Jones Industrial index. For…

Physics and Society · Physics 2008-12-02 Fengzhong Wang , Kazuko Yamasaki , Shlomo Havlin , H. Eugene Stanley

We study the intraday behaviour of the statistical moments of the trading volume of the blue chip equities that composed the Dow Jones Industrial Average index between 2003 and 2014. By splitting that time interval into semesters, we…

Statistical Finance · Quantitative Finance 2018-10-30 Michelle B Graczyk , Silvio M D Queirós

We introduce the Historical and Dynamic Volatility Ratios (HVR/DVR) and show that equity and index volatilities are cointegrated at intraday and daily horizons. This allows us to construct a VECM to forecast portfolio volatility by…

Portfolio Management · Quantitative Finance 2025-09-30 Gabriele Casto

Mounting empirical evidence suggests that the observed extreme prices within a trading period can provide valuable information about the volatility of the process within that period. In this paper we define a class of stochastic volatility…

Statistical Finance · Quantitative Finance 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

This work aims to implement Long Short-Term Memory mixture density networks (LSTM-MDNs) for Value-at-Risk forecasting and compare their performance with established models (historical simulation, CMM, and GARCH) using a defined backtesting…

Computational Finance · Quantitative Finance 2025-01-03 Nico Herrig