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This article provides a self-contained overview of the theory of rational asset price bubbles. We cover topics from basic definitions, properties, and classical results to frontier research, with an emphasis on bubbles attached to real…

General Economics · Economics 2024-02-05 Tomohiro Hirano , Alexis Akira Toda

This is the third installment of the Financial Bubble Experiment. Here we provide the digital fingerprint of an electronic document in which we identify 27 bubbles in 27 different global assets; for 25 of these assets, we present windows of…

Statistical Finance · Quantitative Finance 2011-05-04 Ryan Woodard , Didier Sornette , Maxim Fedorovsky

We study some properties of eigenvalue spectra of financial correlation matrices. In particular, we investigate the nature of the large eigenvalue bulks which are observed empirically, and which have often been regarded as a consequence of…

Statistical Finance · Quantitative Finance 2015-05-27 G. Livan , S. Alfarano , E. Scalas

This is the second installment of the Financial Bubble Experiment. Here we provide the digital fingerprint of an electronic document in which we identify 7 bubbles in 7 different global assets; for 4 of these assets, we present windows of…

Statistical Finance · Quantitative Finance 2010-11-04 Didier Sornette , Ryan Woodard , Maxim Fedorovsky , Stefan Reimann , Hilary Woodard , Wei-Xing Zhou

This paper proposes methods to investigate whether the bubble patterns observed in individual series are common to various series. We detect the non-linear dynamics using the recent mixed causal and noncausal models. Both a likelihood ratio…

Econometrics · Economics 2022-07-26 Gianluca Cubadda , Alain Hecq , Elisa Voisin

The vast majority of market impact studies assess each product individually, and the interactions between the different order flows are disregarded. This strong approximation may lead to an underestimation of trading costs and possible…

Trading and Market Microstructure · Quantitative Finance 2017-03-08 Michael Benzaquen , Iacopo Mastromatteo , Zoltan Eisler , Jean-Philippe Bouchaud

We review the state of the art of clustering financial time series and the study of their correlations alongside other interaction networks. The aim of this review is to gather in one place the relevant material from different fields, e.g.…

Statistical Finance · Quantitative Finance 2021-04-14 Gautier Marti , Frank Nielsen , Mikołaj Bińkowski , Philippe Donnat

We define a financial bubble as a period of unsustainable growth, when the price of an asset increases ever more quickly, in a series of accelerating phases of corrections and rebounds. More technically, during a bubble phase, the price…

Risk Management · Quantitative Finance 2014-04-09 Didier Sornette , Peter Cauwels

Economic periods and financial crises have highlighted the importance of evaluating financial markets to investors and researchers in recent decades.

Statistical Finance · Quantitative Finance 2024-01-12 Sanaz Behzadi , Mahmonir Bayanati , Hamed Nozari

The presence of significant cross-correlations between the synchronous time evolution of a pair of equity returns is a well-known empirical fact. The Pearson correlation is commonly used to indicate the level of similarity in the price…

Statistical Finance · Quantitative Finance 2014-02-07 Dror Y. Kenett , Xuqing Huang , Irena Vodenska , Shlomo Havlin , H. Eugene Stanley

Multifractality is ubiquitously observed in complex natural and socioeconomic systems. Multifractal analysis provides powerful tools to understand the complex nonlinear nature of time series in diverse fields. Inspired by its striking…

Statistical Finance · Quantitative Finance 2022-08-23 Zhi-Qiang Jiang , Wen-Jie Xie , Wei-Xing Zhou , Didier Sornette

This paper aims to provide a simple modelling of speculative bubbles and derive some quantitative properties of its dynamical evolution. Starting from a description of individual speculative behaviours, we build and study a second order…

Probability · Mathematics 2013-09-25 Sébastien Gadat , Laurent Miclo , Fabien Panloup

A taxonomy of large financial crashes proposed in the literature locates the burst of speculative bubbles due to endogenous causes in the framework of extreme stock market crashes, defined as falls of market prices that are outlier with…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Giulia Rotundo , Mauro Navarra

We present semi-analytic techniques for finding bubble wall profiles during first order phase transitions with multiple scalar fields. Our method involves reducing the problem to an equation with a single field, finding an analytic solution…

High Energy Physics - Phenomenology · Physics 2017-01-04 Sujeet Akula , Csaba Balázs , Graham A. White

We propose a group model for correlations in stock markets. In the group model the markets are composed of several groups, within which the stock price fluctuations are correlated. The spectral properties of empirical correlation matrices…

Statistical Mechanics · Physics 2009-10-31 Jae Dong Noh

We tested 45 indices and common stocks traded in the South African stock market for the possible existence of a bubble over the period from Jan. 2003 to May 2006. A bubble is defined by a faster-than-exponential acceleration with…

Physics and Society · Physics 2009-01-09 Wei-Xing Zhou , Didier Sornette

Recently research on bubble and its burst attract much interest of researchers in various field such as economics and physics. Economists have been regarding bubble as a disorder in prices. However, this research strategy has overlooked an…

Physics and Society · Physics 2015-05-19 Katsuhiro Nishinari , Mitsuru Iwamura , Yukiko Umeno Saito , Tsutomu Watanabe

We set up a structural model to study credit risk for a portfolio containing several or many credit contracts. The model is based on a jump--diffusion process for the risk factors, i.e. for the company assets. We also include correlations…

Risk Management · Quantitative Finance 2008-12-02 Rudi Schäfer , Markus Sjölin , Andreas Sundin , Michal Wolanski , Thomas Guhr

We present an outlook of the studies on correlations in the price timeseries of stocks, discussing the construction and applications of "asset tree". The topic discussed here should illustrate how the complex economic system (financial…

Physics and Society · Physics 2015-06-26 Anirban Chakraborti

Using a recently introduced rational expectation model of bubbles, based on the interplay between stochasticity and positive feedbacks of prices on returns and volatility, we develop a new methodology to test how this model classifies 9…

Statistical Mechanics · Physics 2009-11-10 J. V. Andersen , D Sornette