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This paper investigates the dynamics of stocks in the S&P500 index for the last 30 years. Using a stochastic geometry technique, we investigate the evolution of the market space and define a new measure for that purpose, which is a robust…

Physics and Society · Physics 2016-08-16 Tanya Araújo , Francisco Louçã

We test for the long-run relationship between stock prices, inflation and its uncertainty for different U.S. sector stock indexes, over the period 2002M7 to 2015M10. For this purpose we use a cointegration analysis with one structural break…

Computational Finance · Quantitative Finance 2016-03-04 Claudiu Albulescu , Christian Aubin , Daniel Goyeau

The paper tackles the problem of deriving a topological structure among stock prices from high frequency historical values. Similar studies using low frequency data have already provided valuable insights. However, in those cases data need…

Statistical Finance · Quantitative Finance 2008-12-02 Donatello Materassi , Giacomo Innocenti

Dynamic jumps in the price and volatility of an asset are modelled using a joint Hawkes process in conjunction with a bivariate jump diffusion. A state space representation is used to link observed returns, plus nonparametric measures of…

Applications · Statistics 2016-03-10 Worapree Maneesoonthorn , Catherine S. Forbes , Gael M. Martin

We study the volatility of the MIB30-stock-index high-frequency data from November 28, 1994 through September 15, 1995. Our aim is to empirically characterize the volatility random walk in the framework of continuous-time finance. To this…

Statistical Mechanics · Physics 2008-12-02 Marco Raberto , Enrico Scalas , Gianaurelio Cuniberti , Massimo Riani

The minimum spanning tree is used to study the process of market integration for a large group of national stock market indices. We show how the asset tree evolves over time and describe the dynamics of its normalized length, mean…

Physics and Society · Physics 2008-02-23 Ricardo Coelho , Claire G. Gilmore , Brian Lucey , Peter Richmond , Stefan Hutzler

Commodity futures constitute an attractive asset class for portfolio managers. Propelled by their low correlation with other assets, commodities begin gaining popularity among investors, as they allow to capture diversification benefits.…

Statistical Finance · Quantitative Finance 2023-04-13 M. Belén Arouxet , Aurelio F. Bariviera , Verónica Pastor , Victoria Vampa

Large and stable indices of the world wide stock markets such as NYSE and SP 500 together with NASDAQ -- the index representing markets of new trends, and WIG -- the index of the local stock market of Eastern Europe, are considered. Due to…

Statistical Mechanics · Physics 2008-12-02 Danuta Makowiec

The aim of this work is to build financial crisis indicators based on spectral properties of the dynamics of market data. After choosing an optimal size for a rolling window, the historical market data in this window is seen every trading…

Mathematical Finance · Quantitative Finance 2017-09-11 Antoine Kornprobst , Raphael Douady

We exploit a continuous time random walk description of stock prices to obtain a fast and accurate evaluation of their volatility from intraday data. We show that financial markets are usefully described as open physical systems. Indeed we…

Other Condensed Matter · Physics 2008-12-02 Rosario Bartiromo

The presence of log-periodic structures before and after stock market crashes is considered to be an imprint of an intrinsic discrete scale invariance (DSI) in this complex system. The fractal framework of the theory leaves open the…

Other Condensed Matter · Physics 2009-11-11 M. Bartolozzi , S. Drozdz , D. B. Leinweber , J. Speth , A. W. Thomas

We empirically analyze the reversion of financial market trends with time horizons ranging from minutes to decades. The analysis covers equities, interest rates, currencies and commodities and combines 14 years of futures tick data, 30…

Statistical Finance · Quantitative Finance 2025-06-02 Sara A. Safari , Christof Schmidhuber

We present here a topological characterization of the minimal spanning tree that can be obtained by considering the price return correlations of stocks traded in a financial market. We compare the minimal spanning tree obtained from a large…

Statistical Mechanics · Physics 2009-11-07 Giovanni Bonanno , Guido Caldarelli , Fabrizio Lillo , and Rosario N. Mantegna

Drawing on recent contributions inferring financial interconnectedness from market data, our paper provides new insights on the evolution of the US financial industry over a long period of time by using several tools coming from network…

Physics and Society · Physics 2018-07-04 Yérali Gandica , Marco Valerio Geraci , Sophie Béreau , Jean-Yves Gnabo

We investigate the properties of correlation based networks originating from economic complex systems, such as the network of stocks traded at the New York Stock Exchange (NYSE). The weaker links (low correlation) of the system are found to…

Statistical Finance · Quantitative Finance 2008-12-02 Antonios Garas , Panos Argyrakis , Shlomo Havlin

A well-interpretable measure of information has been recently proposed based on a partition obtained by intersecting a random sequence with its moving average. The partition yields disjoint sets of the sequence, which are then ranked…

Statistical Finance · Quantitative Finance 2018-08-01 Linda Ponta , Anna Carbone

With the random matrix theory, we study the spatial structure of the Chinese stock market, American stock market and global market indices. After taking into account the signs of the components in the eigenvectors of the cross-correlation…

General Finance · Quantitative Finance 2012-02-23 X. F. Jiang , B. Zheng

We investigate serial correlation, periodic, aperiodic and scaling behaviour of eigenmodes, i.e. daily price fluctuation time-series derived from eigenvectors, of correlation matrices of shares listed on the Johannesburg Stock Exchange…

Statistical Mechanics · Physics 2016-06-13 Diane Wilcox , Tim Gebbie

Dynamics of the major USA market indices DJIA, S&P, Nasdaq, and NYSE is analyzed from the point of view of the random walking problem with two-step correlations of the market moves. The parameters characterizing the stochastic dynamics are…

Physics and Society · Physics 2008-12-10 M. I. Krivoruchenko

Using data from 92 indices of stock exchanges worldwide, I analize the cluster formation and evolution from 2007 to 2010, which includes the Subprime Mortgage Crisis of 2008, using asset graphs based on distance thresholds. I also study the…

Statistical Finance · Quantitative Finance 2012-01-24 Leonidas Sandoval Junior