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In the information-based approach to asset pricing the market filtration is modelled explicitly as a superposition of signals concerning relevant market factors and independent noise. The rate at which the signal is revealed to the market…

证券定价 · 定量金融 2010-09-21 Dorje C. Brody , Yan Tai Law

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

Although behavioral economics has demonstrated that there are many situations where rational choice is a poor empirical model, it has so far failed to provide quantitative models of economic problems such as price formation. We make a step…

物理与社会 · 物理学 2008-12-02 Szabolcs Mike , J. Doyne Farmer

A first-order model for a stock market assigns to each stock a return parameter and a variance parameter that depend only on the rank of the stock. A second-order model assigns these parameters based on both the rank and the name of the…

统计金融 · 定量金融 2013-02-18 Robert Fernholz , Tomoyuki Ichiba , Ioannis Karatzas

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…

统计金融 · 定量金融 2009-01-12 Abel Rodriguez , Henryk Gzyl , German Molina , Enrique ter Horst

The prediction of a stock market direction may serve as an early recommendation system for short-term investors and as an early financial distress warning system for long-term shareholders. Many stock prediction studies focus on using…

计算工程、金融与科学 · 计算机科学 2017-01-10 Yanshan Wang

This paper tries to address the problem of stock market prediction leveraging artificial intelligence (AI) strategies. The stock market prediction can be modeled based on two principal analyses called technical and fundamental. In the…

统计金融 · 定量金融 2021-07-05 Sohrab Mokhtari , Kang K. Yen , Jin Liu

We develop a behavioral model for liquidity and volatility based on empirical regularities in trading order flow in the London Stock Exchange. This can be viewed as a very simple agent based model in which all components of the model are…

统计金融 · 定量金融 2008-12-02 Szabolcs Mike , J. Doyne Farmer

In the current stock market, computer science and technology are more and more widely used to analyse stocks. Not same as most related machine learning stock price prediction work, this work study the predicting the tendency of the stock…

统计金融 · 定量金融 2022-07-25 Fengyu Han , Yue Wang

Stock price prediction is a complicated and interesting task. Noisy trends make stock pricing sensitive and complicated while the economical motivation behind, keeps it interesting for researchers and investors. In this paper we are to…

最优化与控制 · 数学 2023-12-19 Negin Bagherpour

Financial markets are a classical example of complex systems as they comprise many interacting stocks. As such, we can obtain a surprisingly good description of their structure by making the rough simplification of binary daily returns.…

统计金融 · 定量金融 2014-01-28 Thomas Bury

We introduce a model for the dynamics of stock prices based on a non quadratic path integral. The model is a generalization of Ilinski's path integral model, more precisely we choose a different action, which can be tuned to different time…

计算金融 · 定量金融 2018-12-26 Giovanni Paolinelli , Gianni Arioli

Being able to predict stock prices might be the unspoken wish of stock investors. Although stock prices are complicated to predict, there are many theories about what affects their movements, including interest rates, news and social media.…

机器学习 · 计算机科学 2021-05-05 Roderick Karlemstrand , Ebba Leckström

We introduce a model for the short-term dynamics of financial assets based on an application to finance of quantum gauge theory, developing ideas of Ilinski. We present a numerical algorithm for the computation of the probability…

计算金融 · 定量金融 2018-08-01 Giovanni Paolinelli , Gianni Arioli

The increasing availability of "big" (large volume) social media data has motivated a great deal of research in applying sentiment analysis to predict the movement of prices within financial markets. Previous work in this field investigates…

计算工程、金融与科学 · 计算机科学 2018-11-08 Ellie Birbeck , Dave Cliff

We develop a theory of bid and ask price dynamics where the two prices form due to interaction of buy and sell orders. In this model the two prices are represented by eigenvalues of a 2x2 price operator corresponding to "bid" and "ask"…

交易与市场微观结构 · 定量金融 2013-12-18 Jack Sarkissian

We propose a class of Markovian agent based models for the time evolution of a share price in an interactive market. The models rely on a microscopic description of a market of buyers and sellers who change their opinion about the stock…

其他凝聚态物理 · 物理学 2016-08-31 Anton Bovier , Jiri Cerny , Ostap Hryniv

Nowadays, machine learning methods have been widely used in stock prediction. Traditional approaches assume an identical data distribution, under which a learned model on the training data is fixed and applied directly in the test data.…

统计金融 · 定量金融 2020-02-18 Chi Chen , Li Zhao , Wei Cao , Jiang Bian , Chunxiao Xing

Financial markets exhibit highly dynamic and complex behaviors shaped by both historical price trajectories and exogenous narratives, such as news, policy interpretations, and social media sentiment. The heterogeneity in these data and the…

机器学习 · 计算机科学 2025-07-22 Xiaotong Luo , Shengda Zhuo , Min Chen , Lichun Li , Ruizhao Lu , Wenqi Fan , Shuqiang Huang , Yin Tang

In this paper we consider a new mathematical extension of the Black-Scholes model in which the stochastic time and stock share price evolution is described by two independent random processes. The parent process is Brownian, and the…

证券定价 · 定量金融 2011-11-15 Aleksander Stanislavsky