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A market model in Stochastic Portfolio Theory is a finite system of strictly positive stochastic processes. Each process represents the capitalization of a certain stock. If at any time no stock dominates almost the entire market, which…

Probability · Mathematics 2013-10-30 Andrey Sarantsev

We analyze the sequence of time intervals between consecutive stock trades of thirty companies representing eight sectors of the U. S. economy over a period of four years. For all companies we find that: (i) the probability density function…

Statistical Mechanics · Physics 2009-11-10 Plamen Ch. Ivanov , Ainslie Yuen , Boris Podobnik , Youngki Lee

A new model that combines economic growth rate fluctuations at the microscopic and macroscopic level is presented. At the microscopic level, firms are growing at different rates while also being exposed to idiosyncratic shocks at the firm…

General Finance · Quantitative Finance 2018-02-07 Sandro Claudio Lera , Didier Sornette

Given financial data from popular sites like Yahoo and the London Exchange, the presented paper attempts to model and predict stocks that can be considered "good investments". Stocks are characterized by 125 features ranging from gross…

Computational Engineering, Finance, and Science · Computer Science 2015-03-10 Mike Wu

We calculate realized volatility of the Nikkei Stock Average (Nikkei225) Index on the Tokyo Stock Exchange and investigate the return dynamics. To avoid the bias on the realized volatility from the non-trading hours issue we calculate…

Statistical Finance · Quantitative Finance 2017-04-28 Tetsuya Takaishi , Toshiaki Watanabe

The main focus of this work is to understand the dynamics of non regulated markets. The present model can describe the dynamics of any market where the pricing is based on supply and demand. It will be applied here, as an example, for the…

adap-org · Physics 2007-05-23 Andreas Schaale

This paper examines quantile dependence between international stock markets and evaluates its use for improving volatility forecasting. First, we analyze quantile dependence and directional predictability between the US stock market and…

Statistical Finance · Quantitative Finance 2016-08-26 Heejoon Han

We investigate the behavior of stocks in daily price-limited stock markets by purposing a quantum spatial-periodic harmonic model. The stock price is presumed to oscillate and damp in a quantum spatial-periodic harmonic oscillator potential…

General Finance · Quantitative Finance 2016-03-01 Xiangyi Meng , Jian-Wei Zhang , Jingjing Xu , Hong Guo

The total value of domestic market capitalization of the Mexican Stock Exchange was calculated at 520 billion of dollars by the end of November 2013. To manage this system and make optimum capital investments, its dynamics needs to be…

Statistical Finance · Quantitative Finance 2014-11-14 Javier Morales , Víctor Tercero , Fernando Camacho , Eduardo Cordero , Luis López , F-Javier Almaguer

Although the threshold network is one of the most used tools to characterize the underlying structure of a stock market, the identification of the optimal threshold to construct a reliable stock network remains challenging. In this paper,…

Statistical Finance · Quantitative Finance 2018-08-27 Xin-Jian Xu , Kuo Wang , Liucun Zhu , Li-Jie Zhang

We introduce an innovative framework that leverages advanced big data techniques to analyze dynamic co-movement between stocks and their underlying fundamentals using high-frequency stock market data. Our method identifies leading…

Statistical Finance · Quantitative Finance 2024-11-07 Lyuhong Wang , Jiawei Jiang , Yang Zhao

Using a recently introduced method to quantify the time varying lead-lag dependencies between pairs of economic time series (the thermal optimal path method), we test two fundamental tenets of the theory of fixed income: (i) the stock…

Statistical Finance · Quantitative Finance 2011-09-26 Kun Guo , Wei-Xing Zhou , Si-Wei Cheng , Didier Sornette

This paper investigates the dynamics of in the S&P500 index from daily returns for the last 30 years. Using a stochastic geometry technique, each S&P500 yearly batch of data is embedded in a subspace that can be accurately described by a…

Statistical Mechanics · Physics 2016-08-16 Tanya Araújo , Francisco Louçã

The complexity of financial markets arise from the strategic interactions among agents trading stocks, which manifest in the form of vibrant correlation patterns among stock prices. Over the past few decades, complex financial markets have…

Statistical Finance · Quantitative Finance 2021-02-02 Areejit Samal , Hirdesh K. Pharasi , Sarath Jyotsna Ramaia , Harish Kannan , Emil Saucan , Jürgen Jost , Anirban Chakraborti

Firms having similar business activities are correlated. We analyze two different cross-correlation matrices C constructed from (i) 30-min price fluctuations of 1000 US stocks for the 2-year period 1994-95 and (ii) 1-day price fluctuations…

Statistical Mechanics · Physics 2008-12-02 Parameswaran Gopikrishnan , Bernd Rosenow , Vasiliki Plerou , H. Eugene Stanley

Taylor's law of temporal fluctuation scaling, variance $\sim$ $a($mean$)^b$, is ubiquitous in natural and social sciences. We report for the first time convincing evidence of a solid temporal fluctuation scaling law in stock illiquidity by…

Statistical Finance · Quantitative Finance 2016-10-07 Qing Cai , Hai-Chuan Xu , Wei-Xing Zhou

Growth rate of the world Growth Domestic Product (GDP) is analysed to determine possible pathways of the future economic growth. The analysis is based on using the latest data of the World Bank and it reveals that the growth rate between…

General Finance · Quantitative Finance 2015-11-03 Ron W Nielsen

We analyze the daily stock data of the Nasdaq Composite index in the 22-year period 1992-2013 and identify market states as clusters of correlation matrices with similar correlation structures. We investigate the stability of the…

Statistical Finance · Quantitative Finance 2015-06-22 Desislava Chetalova , Rudi Schäfer , Thomas Guhr

Growth rate of real GDP per capita, GDPpc, is represented as a sum of two components, a monotonically decreasing economic trend and fluctuations related to population change. The economic trend is modelled by an inverse function of GDPpc…

General Economics · Economics 2021-03-23 Ivan Kitov

This paper is an attempt at understanding the quantum-like dynamics of financial markets in terms of non-differentiable price-time continuum having fractal properties. The main steps of this development are the statistical scaling, the…

Statistical Finance · Quantitative Finance 2015-06-18 Vadim Nastasiuk