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相关论文: Generalized framework for applying the Kelly crite…

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This paper explores stochastic modeling approaches to elucidate the intricate dynamics of stock prices and volatility in financial markets. Beginning with an overview of Brownian motion and its historical significance in finance, we delve…

历史与综述 · 数学 2024-05-03 Aashrit Cunchala

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

The increasing richness in volume, and especially types of data in the financial domain provides unprecedented opportunities to understand the stock market more comprehensively and makes the price prediction more accurate than before.…

计算金融 · 定量金融 2018-05-16 Huiwen Wang , Shan Lu , Jichang Zhao

For a sequence of binary bets, the Kelly criterion provides a closed-form solution that maximizes the expected growth rate of wealth. In contrast, when multiple bets are placed simultaneously (e.g., in portfolio allocation or prediction…

数理金融 · 定量金融 2026-04-30 Ruslan Tepelyan , Daniel Lam

The fundamental theorem behind financial markets is that stock prices are intrinsically complex and stochastic. One of the complexities is the volatility associated with stock prices. Volatility is a tendency for prices to change…

统计金融 · 定量金融 2023-11-21 Leonard Mushunje , Maxwell Mashasha , Edina Chandiwana

A recent model for the stock market calculates future price distributions of a stock as a wave function of a quantum particle confined in an infinite potential well. In such a model the question arose as to how to estimate the classical…

综合金融 · 定量金融 2020-04-15 J. L. Subias

A new model for stock price fluctuations is proposed, based upon an analogy with the motion of tracers in Gaussian random fields, as used in turbulent dispersion models and in studies of transport in dynamically disordered media. Analytical…

统计力学 · 物理学 2009-11-10 James P. Gleeson

Although machine learning approaches have been widely used in the field of finance, to very successful degrees, these approaches remain bespoke to specific investigations and opaque in terms of explainability, comparability, and…

交易与市场微观结构 · 定量金融 2022-06-22 Artur Sokolovsky , Luca Arnaboldi

Prediction of future movement of stock prices has always been a challenging task for the researchers. While the advocates of the efficient market hypothesis (EMH) believe that it is impossible to design any predictive framework that can…

统计金融 · 定量金融 2021-09-03 Sidra Mehtab , Jaydip Sen

This study presents a long-term alternative formula for stock price variation described by a geometric Brownian motion on the basis of median instead of mean or expected values. The proposed method is motivated by the observation made in…

数理金融 · 定量金融 2022-10-06 Takuya Okabe , Jin Yoshimura

We compare some methods recently used in the literature to detect the existence of a certain degree of common behavior of stock returns belonging to the same economic sector. Specifically, we discuss methods based on random matrix theory…

无序系统与神经网络 · 物理学 2008-12-02 C. Coronnello , M. Tumminello , F. Lillo , S. Miccichè , R. N. Mantegna

We propose a confirmatory dynamic factor model for a large number of stocks whose returns are observed daily across multiple time zones. The model has a global factor and a continental factor that both drive the individual stock return…

统计理论 · 数学 2025-02-25 Oliver B. Linton , Haihan Tang , Jianbin Wu

This article introduces a novel dynamic framework to Bayesian model averaging for time-varying parameter quantile regressions. By employing sequential Markov chain Monte Carlo, we combine empirical estimates derived from dynamically chosen…

统计理论 · 数学 2024-11-08 Mauro Bernardi , Roberto Casarin , Bertrand Maillet , Lea Petrella

Technical and fundamental analysis are traditional tools used to analyze individual stocks; however, the finance literature has shown that the price movement of each individual stock correlates heavily with other stocks, especially those…

计算工程、金融与科学 · 计算机科学 2019-03-11 Ran Zhao , Yuntian Deng , Mark Dredze , Arun Verma , David Rosenberg , Amanda Stent

We propose a group model for correlations in stock markets. In the group model the markets are composed of several groups, within which the stock price fluctuations are correlated. The spectral properties of empirical correlation matrices…

统计力学 · 物理学 2009-10-31 Jae Dong Noh

In this paper we propose a new model for pricing stock and dividend derivatives. We jointly specify dynamics for the stock price and the dividend rate such that the stock price is positive and the dividend rate non-negative. In its simplest…

数理金融 · 定量金融 2019-08-27 Sander Willems

In this paper we present a rather general phenomenological theory of tick-by-tick dynamics in financial markets. Many well-known aspects, such as the L\'evy scaling form, follow as particular cases of the theory. The theory fully takes into…

无序系统与神经网络 · 物理学 2009-10-31 Enrico Scalas , Rudolf Gorenflo , Francesco Mainardi

Quantum theory is used to model secondary financial markets. Contrary to stochastic descriptions, the formalism emphasizes the importance of trading in determining the value of a security. All possible realizations of investors holding…

物理与社会 · 物理学 2009-11-07 Martin Schaden

A simple quantum model explains the Levy-unstable distributions for individual stock returns observed by ref.[1]. The probability density function of the returns is written as the squared modulus of an amplitude. For short time intervals…

物理与社会 · 物理学 2008-12-02 Martin Schaden

A general framework is suggested to describe human decision making in a certain class of experiments performed in a trading laboratory. We are in particular interested in discerning between two different moods, or states of the investors,…