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We show that the moments of the distribution of historic stock returns are in excellent agreement with the Heston model and not with the multiplicative model, which predicts power-law tails of volatility and stock returns. We also show that…

数理金融 · 定量金融 2019-08-01 Zhiyuan Liu , M. Dashti Moghaddam , R. A. Serota

The time proximity of trades across stocks reveals interesting topological structures of the equity market in the United States. In this article, we investigate how such concurrent cross-stock trading behaviors, which we denote as…

交易与市场微观结构 · 定量金融 2024-05-14 Yutong Lu , Gesine Reinert , Mihai Cucuringu

The correlation matrix formalism is used to study temporal aspects of the stock market evolution. This formalism allows to decompose the financial dynamics into noise as well as into some coherent repeatable intraday structures. The present…

软凝聚态物质 · 物理学 2009-11-07 J. Kwapien , S. Drozdz , F. Gruemmer , F. Ruf , J. Speth

This paper studies theory and inference related to a class of time series models that incorporates nonlinear dynamics. It is assumed that the observations follow a one-parameter exponential family of distributions given an accompanying…

统计理论 · 数学 2012-04-19 Richard A. Davis , Heng Liu

The gain-loss asymmetry, observed in the inverse statistics of stock indices is present for logarithmic return levels that are over $2\%$, and it is the result of the non-Pearson type auto-correlations in the index. These non-Pearson type…

统计金融 · 定量金融 2016-08-24 Bulcsú Sándor , Ingve Simonsen , Bálint Zsolt Nagy , Zoltán Néda

We test the hypothesis that consecutive intraday price changes in the most liquid U.S. equity ETF (SPY) are conditionally nonrandom. Using NBBO event-time data for about 1,500 regular trading days, we form for every lag L ordered pairs of a…

交易与市场微观结构 · 定量金融 2025-11-11 Dmitrii Vlasiuk , Mikhail Smirnov

High frequency data in finance have led to a deeper understanding on probability distributions of market prices. Several facts seem to be well stablished by empirical evidence. Specifically, probability distributions have the following…

统计力学 · 物理学 2009-10-31 Jaume Masoliver , Miquel Montero , Josep M. Porra

Here we develop the theory of seasonal FIEGARCH processes, denoted by SFIEGARCH, establishing conditions for the existence, the invertibility, the stationarity and the ergodicity of these processes. We analyze their asymptotic dependence…

统计理论 · 数学 2019-04-24 Sílvia Regina Costa Lopes , Taiane Schaedler Prass

Large tick assets, i.e. assets where one tick movement is a significant fraction of the price and bid-ask spread is almost always equal to one tick, display a dynamics in which price changes and spread are strongly coupled. We introduce a…

交易与市场微观结构 · 定量金融 2015-06-17 Gianbiagio Curato , Fabrizio Lillo

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

We study the temporal fluctuations in time-dependent stock prices (both individual and composite) as a stochastic phenomenon using general techniques and methods of nonequilibrium statistical mechanics. In particular, we analyze stock price…

物理与社会 · 物理学 2008-12-02 M. Constantin , S. Das Sarma

In setting up a stochastic description of the time evolution of a financial index, the challenge consists in devising a model compatible with all stylized facts emerging from the analysis of financial time series and providing a reliable…

统计金融 · 定量金融 2009-11-13 Fulvio Baldovin , Attilio L. Stella

We study tick-by-tick financial returns belonging to the FTSE MIB index of the Italian Stock Exchange (Borsa Italiana). We can confirm previously detected non-stationarities. However, scaling properties reported in the previous literature…

统计金融 · 定量金融 2017-02-28 Linda Ponta , Mailan Trinh , Marco Raberto , Enrico Scalas , Silvano Cincotti

We empirically analyze the scaling properties of daily Foreign Exchange rates, Stock Market indices and Bond futures across different financial markets. We study the scaling behaviour of the time series by using a generalized Hurst exponent…

统计力学 · 物理学 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

Both in practice and in the academic literature, models for setting margin requirements in futures markets classically use daily closing price changes. However, as well documented by research on high-frequency data, financial markets have…

风险管理 · 定量金融 2011-03-29 John Cotter , François Longin

To predict the future movements of stock markets, numerous studies concentrate on daily data and employ various machine learning (ML) models as benchmarks that often vary and lack standardization across different research works. This paper…

计算金融 · 定量金融 2024-07-16 Han Gui

To ensure reliable operation of power grids, their frequency shall stay within strict bounds. Multiple sources of disturbances cause fluctuations of the grid frequency, ranging from changing demand over volatile feed-in to energy trading.…

统计金融 · 定量金融 2021-03-29 Benjamin Schäfer , Marc Timme , Dirk Witthaut

By adopting Multifractal detrended fluctuation (MF-DFA) analysis methods, the multifractal nature is revealed in the high-frequency data of two typical indexes, the Shanghai Stock Exchange Composite 180 Index (SH180) and the Shenzhen Stock…

统计金融 · 定量金融 2018-06-21 Xin-Lan Fu , Xing-Lu Gao , Zheng Shan , Zhi-Qiang Jiang , Wei-Xing Zhou

High-frequency trading requires fast data processing without information lags for precise stock price forecasting. This high-paced stock price forecasting is usually based on vectors that need to be treated as sequential and…

机器学习 · 计算机科学 2023-05-16 Adamantios Ntakaris , Moncef Gabbouj , Juho Kanniainen

This paper seeks to forecast intraday volatility curves for major foreign exchange (FX) currencies using functional GARCH models. Intraday return curves are observed at a daily frequency, yet preserve the full high-frequency trading…

统计方法学 · 统计学 2025-10-01 Fearghal Kearney , Han Lin Shang , Yuqian Zhao