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According to theoretical models of valuing risky corporate securities, risk of default is primary component in overall yield spread. However, sizable empirical literature considers it otherwise by giving more importance to non-default risk…

Pricing of Securities · Quantitative Finance 2013-03-15 Syed Muhammad Noaman Ahmed Shah , Mazen Kebewar

Zipf's law states that the number of firms with size greater than S is inversely proportional to S. Most explanations start with Gibrat's rule of proportional growth but require additional constraints. We show that Gibrat's rule, at all…

Physics and Society · Physics 2014-08-26 Y. Malevergne , A. Saichev , D. Sornette

Zipf's law states that the probability of a variable being larger than $s$ is roughly inversely proportional to $s$. In this paper, we evaluate Zipf's law for the distribution of firm size by the number of employees in Brazil. We use…

Applications · Statistics 2024-09-18 Thiago Trafane Oliveira Santos , Daniel Oliveira Cajueiro

We study a resource utilization scenario characterized by intrinsic fitness. To describe the growth and organization of different cities, we consider a model for resource utilization where many restaurants compete, as in a game, to attract…

Physics and Society · Physics 2014-10-28 Asim Ghosh , Arnab Chatterjee , Anindya S. Chakrabarti , Bikas K Chakrabarti

Building on similarities between earthquakes and extreme financial events, we use a self-organized criticality-generating model to study herding and avalanche dynamics in financial markets. We consider a community of interacting investors,…

General Finance · Quantitative Finance 2015-06-17 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda , Dirk Helbing

We study size and growth distributions of products and business firms in the context of a given industry. Firm size growth is analyzed in terms of two basic mechanisms, i.e. the increase of the number of new elementary business units and…

Condensed Matter · Physics 2009-11-10 G. De Fabritiis , F. Pammolli , M. Riccaboni

The major perspective of this paper is to provide more evidence into the empirical determinants of capital structure adjustment in different macroeconomics states by focusing and discussing the relative importance of firm-specific and…

Economics · Quantitative Finance 2018-01-23 Andreas Kaloudis , Dimitrios Tsolis

Complex non-linear interactions between banks and assets we model by two time-dependent Erd\H{o}s Renyi network models where each node, representing bank, can invest either to a single asset (model I) or multiple assets (model II). We use…

Risk Management · Quantitative Finance 2015-06-19 B. Podobnik , D. Horvatic , M. Bertella , L. Feng , X. Huang , B. Li

We review recent progress in modeling credit risk for correlated assets. We start from the Merton model which default events and losses are derived from the asset values at maturity. To estimate the time development of the asset values, the…

Risk Management · Quantitative Finance 2018-03-02 Andreas Mühlbacher , Thomas Guhr

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

Solomon and Golo [1] have recently proposed an autocatalytic (self-reinforcing) feedback model which couples a macroscopic system parameter (the interest rate), a microscopic parameter that measures the distribution of the states of the…

General Finance · Quantitative Finance 2015-07-14 Natasa Golo , David S. Bree , Guy Kelman , Leanne Usher , Marco Lamieri , Sorin Solomon

We analyze the distribution of income and income tax of individuals in Japan for the fiscal year 1998. From the rank-size plots we find that the accumulated probability distribution of both data obey a power law with a Pareto exponent very…

Statistical Mechanics · Physics 2008-12-02 Hideaki Aoyama , Yuichi Nagahara , Mitsuhiro P. Okazaki , Wataru Souma , Hideki Takayasu , Misako Takayasu

There is empirical evidence that recovery rates tend to go down just when the number of defaults goes up in economic downturns. This has to be taken into account in estimation of the capital against credit risk required by Basel II to cover…

Risk Management · Quantitative Finance 2014-11-03 Pavel V. Shevchenko , Xiaolin Luo

Many complex systems are composed of disparate, interacting types of varying sizes: Species abundances in ecosystems, firm sizes in markets, city populations in countries, word counts in language, etc. A longstanding mystery of complex…

The 2023 U.S. banking crisis propagated not through direct financial linkages but through a high-frequency, information-based contagion channel. This paper moves beyond exploration analysis to test the "too-similar-to-fail" hypothesis,…

Econometrics · Economics 2026-01-06 Haibo Wang , Jun Huang , Lutfu S Sua , Jaime Ortiz , Jinshyang Roan , Bahram Alidaee

We develop a model for the evolution of economic entities within a geographical type of framework. On a square symmetry lattice made of three (economic) regions, firms, described by a scalar fitness, are allowed to move, adapt, merge or…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski

As economic entities become increasingly interconnected, a shock in a financial network can provoke significant cascading failures throughout the system. To study the systemic risk of financial systems, we create a bi-partite banking…

General Finance · Quantitative Finance 2013-03-11 Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

Consider an insurance company exposed to a stochastic economic environment that contains two kinds of risk. The first kind is the insurance risk caused by traditional insurance claims, and the second kind is the financial risk resulting…

Statistics Theory · Mathematics 2015-07-29 Jinzhu Li , Qihe Tang

We investigate spatial dependence in Zipf's law for cities among the OECD countries. The aim is to identify an upper tail of the distribution that follows a power law (Pareto) but is perturbed by spatial autocorrelation, as indicated by a…

Physics and Society · Physics 2025-04-01 Rolf Bergs , Uwe Neumann

We statistically investigate the distribution of share price and the distributions of three common financial indicators using data from approximately 8,000 companies publicly listed worldwide for the period 2004-2013. We find that the…

Economics · Quantitative Finance 2017-02-02 Taisei Kaizoji , Michiko Miyano