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We introduce a stochastic price model where, together with a random component, a moving average of logarithmic prices contributes to the price formation. Our model is tested against financial datasets, showing an extremely good agreement…

无序系统与神经网络 · 物理学 2008-12-02 R. Baviera , M. Pasquini , J. Raboanary , M. Serva

We study the price dynamics of stocks traded in a financial market by considering the statistical properties both of a single time series and of an ensemble of stocks traded simultaneously. We use the $n$ stocks traded in the New York Stock…

统计力学 · 物理学 2009-10-31 Fabrizio Lillo , Rosario N. Mantegna

The paper presents an evolutionary economic model for the price evolution of stocks. Treating a stock market as a self-organized system governed by a fast purchase process and slow variations of demand and supply the model suggests that the…

综合金融 · 定量金融 2016-07-13 Joachim Kaldasch

The trade of a fixed stock can be regarded as the basic process that measures its momentary price. The stock price is exactly known only at the time of sale when the stock is between traders, that is, only in the case when the owner is…

综合金融 · 定量金融 2014-12-12 Liviu-Adrian Cotfas

The paper studies intraday price movement of stocks that is considered as an image classification problem. Using a CNN-based model we make a compelling case for the high-level relationship between the first hour of trading and the close.…

证券定价 · 定量金融 2025-08-26 Matej Steinbacher

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

A statistical physics model for the time evolutions of stock portfolios is proposed. In this model the time series of price changes are coded into the sequences of up and down spins. The Hamiltonian of the system is introduced and is…

统计力学 · 物理学 2008-12-02 Jun-ichi Maskawa

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 provide a comprehensive analysis of a structural model for the dynamics of prices of assets traded in a market originally proposed in [1]. The model takes the form of an interacting generalization of the geometric Brownian…

统计金融 · 定量金融 2018-06-06 Kartik Anand , Jonathan Khedair , Reimer Kuehn

We model the dynamics of asset prices and associated derivatives by consideration of the dynamics of the conditional probability density process for the value of an asset at some specified time in the future. In the case where the price…

证券定价 · 定量金融 2011-11-14 Damir Filipović , Lane P. Hughston , Andrea Macrina

A new model for the stock market price analysis is proposed. It is suggested to look at price as an everywhere discontinuous function of time of bounded variation.

综合金融 · 定量金融 2011-02-16 Aleksey Kharevsky

We propose and discuss some toy models of stock markets using the same operatorial approach adopted in quantum mechanics. Our models are suggested by the discrete nature of the number of shares and of the cash which are exchanged in a real…

综合金融 · 定量金融 2009-11-13 F. Bagarello

A new model for the stock market price analysis is proposed. It is suggested to look at price as an everywhere discontinuous function of time of bounded variation.

综合金融 · 定量金融 2011-04-13 Aleksey Kharevsky

The present paper proposes a new framework for describing the stock price dynamics. In the traditional geometric Brownian motion model and its variants, volatility plays a vital role. The modern studies of asset pricing expand around…

数理金融 · 定量金融 2022-10-12 Ben Duan , Yutian Li , Dawei Lu , Yang Lu , Ran Zhang

A model for the phenomenological description of tick-by-tick share prices in a stock exchange is introduced. It is based on mixtures of compound Poisson processes. Preliminary results based on Monte Carlo simulation show that this model can…

物理与社会 · 物理学 2015-06-26 Enrico Scalas

This paper aims at designing the different important components of a semi-closed simulated stock market (pricing mechanism, stock allocation and news generation). The purpose is to understand the interactions of the different aspects within…

交易与市场微观结构 · 定量金融 2012-07-12 Dr. Gurjeet Dhesi , Mohammad Abdul Washad Emambocus , Muhammad Bilal Shakeel

The scaling properties of the time series of asset prices and trading volumes of stock markets are analysed. It is shown that similarly to the asset prices, the trading volume data obey multi-scaling length-distribution of low-variability…

统计力学 · 物理学 2008-12-02 Robert Kitt , Jaan Kalda

We describe a simple model for speculative trading based on adaptive behavior of economic agents.The adaptive behavior is expressed through a feedback mechanism for changing agents' stock-to-bond ratios, depending on the past performance of…

交易与市场微观结构 · 定量金融 2018-09-26 Misha Perepelitsa

We use the expectation of the range of an arithmetic Brownian motion and the method of moments on the daily high, low, opening and closing prices to estimate the volatility of the stock price. The daily price jump at the opening is…

统计金融 · 定量金融 2011-12-21 Cristin Buescu , Michael Taksar , Fatoumata J. Koné

The present paper introduces a majority orienting model in which the dealers' behavior changes based on the influence of the price to show the oscillation of stock price in the stock market. We show the oscillation of the price for the…

可精确求解与可积系统 · 物理学 2008-12-10 Hisanao Takahashi , Yoshiaki Itoh