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This paper aims at solving FX market volatility modeling problem and finding the most becoming approach to this task. Validity of two competing approaches, classical econometric generalized conditional heteroscedasticity and mathematical…

Mathematical Finance · Quantitative Finance 2021-04-30 Anton Koshelev

Although the Transformer has been the dominant architecture for time series forecasting tasks in recent years, a fundamental challenge remains: the permutation-invariant self-attention mechanism within Transformers leads to a loss of…

Machine Learning · Computer Science 2024-10-15 Zeying Gong , Yujin Tang , Junwei Liang

Time series prediction is crucial for understanding and forecasting complex dynamics in various domains, ranging from finance and economics to climate and healthcare. Based on Transformer architecture, one approach involves encoding…

Machine Learning · Computer Science 2024-05-24 Xin Cheng , Xiuying Chen , Shuqi Li , Di Luo , Xun Wang , Dongyan Zhao , Rui Yan

Recently, there has been a growing interest in Long-term Time Series Forecasting (LTSF), which involves predicting long-term future values by analyzing a large amount of historical time-series data to identify patterns and trends. There…

Machine Learning · Computer Science 2026-02-17 Aitian Ma , Dongsheng Luo , Mo Sha

In the complex landscape of traditional futures trading, where vast data and variables like real-time Limit Order Books (LOB) complicate price predictions, we introduce the FutureQuant Transformer model, leveraging attention mechanisms to…

Trading and Market Microstructure · Quantitative Finance 2025-05-12 Wenhao Guo , Yuda Wang , Zeqiao Huang , Changjiang Zhang , Shumin ma

We introduce a class of randomly time-changed fast mean-reverting stochastic volatility models and, using spectral theory and singular perturbation techniques, we derive an approximation for the prices of European options in this setting.…

Pricing of Securities · Quantitative Finance 2012-05-15 Matthew Lorig

Portfolio allocation with gross-exposure constraint is an effective method to increase the efficiency and stability of selected portfolios among a vast pool of assets, as demonstrated in Fan et al (2008). The required high-dimensional…

Portfolio Management · Quantitative Finance 2010-04-29 Jianqing Fan , Yingying Li , Ke Yu

Stock market forecasting has been a topic of extensive research, aiming to provide investors with optimal stock recommendations for higher returns. In recent years, this field has gained even more attention due to the widespread adoption of…

Computational Finance · Quantitative Finance 2024-12-17 Igor L. R. Azevedo , Toyotaro Suzumura

We discovered that past changes in the market correlation structure are significantly related with future changes in the market volatility. By using correlation-based information filtering networks we device a new tool for forecasting the…

Portfolio Management · Quantitative Finance 2016-05-31 Nicoló Musmeci , Tomaso Aste , Tiziana Di Matteo

Jumps and market microstructure noise are stylized features of high-frequency financial data. It is well known that they introduce bias in the estimation of volatility (including integrated and spot volatilities) of assets, and many methods…

Econometrics · Economics 2023-02-20 Qiang Liu , Zhi Liu

Technical analysis is considered the oldest, currently omnipresent, method for financial markets analysis, which uses past prices aiming at the possible short-term forecast of future prices. In the frame of complex systems, methods used to…

Data Analysis, Statistics and Probability · Physics 2021-06-02 Stelios M. Potirakis , Pavlos I. Zitis , Georgios Balasis , Konstantinos Eftaxias

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

Long-term time series forecasting is a long-standing challenge in various applications. A central issue in time series forecasting is that methods should expressively capture long-term dependency. Furthermore, time series forecasting…

Machine Learning · Computer Science 2024-11-06 Xingyu Zhang , Siyu Zhao , Zeen Song , Huijie Guo , Jianqi Zhang , Changwen Zheng , Wenwen Qiang

We analyze the performance of RiskMetrics, a widely used methodology for measuring market risk. Based on the assumption of normally distributed returns, the RiskMetrics model completely ignores the presence of fat tails in the distribution…

Statistical Mechanics · Physics 2009-11-07 Szilard Pafka , Imre Kondor

Text and time series data offer complementary views of financial markets: news articles provide narrative context about company events, while stock prices reflect how markets react to those events. However, despite their complementary…

Computational Engineering, Finance, and Science · Computer Science 2025-09-25 Ross Koval , Nicholas Andrews , Xifeng Yan

In this paper, we present a novel approach to the generation of virtual scenarios of multivariate financial data of arbitrary length and composition of assets. With this approach, decades of realistic time-synchronized data can be simulated…

Computational Finance · Quantitative Finance 2018-02-07 Javier Franco-Pedroso , Joaquin Gonzalez-Rodriguez , Jorge Cubero , Maria Planas , Rafael Cobo , Fernando Pablos

In this research the technology of complex Markov chains is applied to predict financial time series. The main distinction of complex or high-order Markov Chains and simple first-order ones is the existing of aftereffect or memory. The…

Statistical Finance · Quantitative Finance 2011-11-23 Vladimir Soloviev , Vladimir Saptsin , Dmitry Chabanenko

This paper analyses how Time Series Analysis techniques can be applied to capture movement of an exchange traded index in a stock market. Specifically, Seasonal Auto Regressive Integrated Moving Average (SARIMA) class of models is applied…

Statistical Finance · Quantitative Finance 2020-01-28 Amit Tewari

We develop a new method to find the number of volatility regimes in a nonstationary financial time series by applying unsupervised learning to its volatility structure. We use change point detection to partition a time series into locally…

Statistical Finance · Quantitative Finance 2022-11-15 Arjun Prakash , Nick James , Max Menzies , Gilad Francis

What is the dominating mechanism of the price dynamics in financial systems is of great interest to scientists. The problem whether and how volatilities affect the price movement draws much attention. Although many efforts have been made,…

General Finance · Quantitative Finance 2015-02-04 Lei Tan , Bo Zheng , Jun-Jie Chen , Xiong-Fei Jiang