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I study the limit of a large random economy, where a set of consumers invests in financial instruments engineered by banks, in order to optimize their future consumption. This exercise shows that, even in the ideal case of perfect…

Statistical Finance · Quantitative Finance 2009-06-09 Matteo Marsili

The mutual fund industry manages about a quarter of the assets in the U.S. stock market and thus plays an important role in the U.S. economy. The question of how much control is concentrated in the hands of the largest players is best…

General Finance · Quantitative Finance 2010-05-28 Yonathan Schwarzkopf , J. Doyne Farmer

The international financial system is currently not yet prepared to face a foreseeable crisis mainly motivated by the dichotomy between the real economy and the virtual economy. Skepticism is widespread even when it comes to investments in…

General Finance · Quantitative Finance 2022-03-24 I Martín-de-Santos

We develop a novel fixed-k tail regression method that accommodates the unique feature in the Forbes 400 data that observations are truncated from below at the 400th largest order statistic. Applying this method, we find that higher maximum…

General Economics · Economics 2022-09-15 Ji Hyung Lee , Yuya Sasaki , Alexis Akira Toda , Yulong Wang

A reputation of high volatility accompanies the emergence of Bitcoin as a financial asset. This paper intends to nuance this reputation and clarify our understanding of Bitcoin's volatility. Using daily, weekly, and monthly closing prices…

Statistical Finance · Quantitative Finance 2021-03-02 Nassim Dehouche

Close examination of wealth distributions reveal the existence of two distinct power law regimes. The Pareto exponents of the super-rich, identified for example in rich lists such as provided by Forbes are smaller than the Pareto exponents…

Physics and Society · Physics 2009-11-13 Ricardo Coelho , Peter Richmond , Joseph Barry , Stefan Hutzler

We propose a network description of large market investments, where both stocks and shareholders are represented as vertices connected by weighted links corresponding to shareholdings. In this framework, the in-degree ($k_{in}$) and the sum…

Statistical Mechanics · Physics 2009-02-06 Diego Garlaschelli , Stefano Battiston , Maurizio Castri , Vito D. P. Servedio , Guido Caldarelli

Financial markets exhibit an apparent paradox: while directional price movements remain largely unpredictable--consistent with weak-form efficiency--the magnitude of price changes displays systematic structure. Here we demonstrate that…

Trading and Market Microstructure · Quantitative Finance 2025-12-19 Mainak Singha

Based on empirical financial time-series, we show that the "silence-breaking" probability follows a super-universal power law: the probability of observing a large movement is inversely proportional to the length of the on-going…

Statistical Finance · Quantitative Finance 2009-09-06 Robert Kitt , Maksim Sakki , Jaan Kalda

In the standard equilibrium and/or arbitrage pricing framework, the value of any asset is uniquely specified from the belief that only the systematic risks need to be remunerated by the market. Here, we show that, even for arbitrary large…

Physics and Society · Physics 2008-12-02 Y. Malevergne , D. Sornette

The literature often employs moment-based earnings risk measures like variance, skewness, and kurtosis. However, under heavy-tailed distributions, these moments may not exist in the population. Our empirical analysis reveals that population…

Econometrics · Economics 2024-02-20 Silvia Sarpietro , Yuya Sasaki , Yulong Wang

We find the wealth distribution for an economic agent in the financial market, in analogy with standard derivation of generaliz Boltzman (Tsallis) factor in statistical mechanics. In this respect, Tsallis entropic index separates two…

Other Condensed Matter · Physics 2008-12-10 Amir Hossein Darooneh

The personal income distribution (PID) above the Pareto threshold is studied and modeled. A microeconomic model is proposed to simulate the PID and its evolution below and above the Pareto income threshold. The model balances processes of…

General Finance · Quantitative Finance 2008-12-02 Ivan O. Kitov

Different models of capital exchange among economic agents have been proposed recently trying to explain the emergence of Pareto's wealth power law distribution. One important factor to be considered is the existence of risk aversion. In…

Statistical Mechanics · Physics 2009-11-10 J. R. Iglesias , S. Goncalves , G. Abramson , J. L. Vega

We have shown, in a series of articles, that a classical description of a large number of economic agents can be replaced by a statistical fields formalism. To better understand the accumulation and allocation of capital among different…

General Finance · Quantitative Finance 2024-01-15 Pierre Gosselin , Aïleen Lotz

In order to study the phenomenon in detail that income distribution follows Pareto law, we analyze the database of high income companies in Japan. We find a quantitative relation between the average capital of the companies and the Pareto…

Other Condensed Matter · Physics 2009-11-10 Atushi Ishikawa

There is a growing appreciation that hidden sector dynamics may affect the supersymmetry breaking parameters in the visible sector (supersymmetric standard model), especially when the dynamics is strong and superconformal. We point out that…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hitoshi Murayama , Yasunori Nomura , David Poland

It is usually assumed that stock prices reflect a balance between large numbers of small individual sellers and buyers. However, over the past fifty years mutual funds and other institutional shareholders have assumed an ever increasing…

Physics and Society · Physics 2008-12-02 Bertrand M. Roehner

Using the most comprehensive source of commercially available data on the US National Market System, we analyze all quotes and trades associated with Dow 30 stocks in 2016 from the vantage point of a single and fixed frame of reference. We…

We present four methods of assessing the diversification potential within a stock market, two of these are based on principal component analysis. They were applied to the Australian stock exchange for the years 2000 to 2014 and all show a…

Portfolio Management · Quantitative Finance 2015-12-22 Libin Yang , William Rea , Alethea Rea