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Based on theoretical argument and experimental evidence, we conjecture that structure functions of turbulent times series exhibit log-periodic modulations decorating their power law dependence. In order to provide ironclad experimental…

Statistical Mechanics · Physics 2007-05-23 D. Sornette

We discuss - in what is intended to be a pedagogical fashion - a criterion, which is a lower bound on a certain ratio, for when a stock (or a similar instrument) is not a good investment in the long term, which can happen even if the…

Risk Management · Quantitative Finance 2017-08-01 Zura Kakushadze

In order to figure out and to forecast the emergence phenomena of social systems, we propose several probabilistic models for the analysis of financial markets, especially around a crisis. We first attempt to visualize the collective…

Statistical Finance · Quantitative Finance 2015-06-17 Takero Ibuki , Shunsuke Higano , Sei Suzuki , Jun-ichi Inoue , Anirban Chakraborti

Based on the Log-Periodic Power Law (LPPL) methodology, with the universal preferred scaling factor $\lambda \approx 2$, the negative bubble on the oil market in 2014-2016 has been detected. Over the same period a positive bubble on the so…

Statistical Finance · Quantitative Finance 2018-07-26 Marcin Wątorek , Stanisław Drożdż , Paweł Oświęcimka

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

We propose a reduced form set of two coupled continuous time equations linking the price of a representative asset and the price of a bond, the later quantifying the cost of borrowing. The feedbacks between asset prices and bonds are…

General Finance · Quantitative Finance 2015-07-21 V. I. Yukalov , E. P. Yukalova , D. Sornette

The bubble is a controversial and important issue. Many methods which based on the rational expectation have been proposed to detect the bubble. However, for some developing countries, epically China, the asset markets are so young that for…

Statistical Finance · Quantitative Finance 2016-10-25 Shu-Peng Chen , Ling-Yun He

We perform an extended analysis of the distribution of drawdowns in the two leading exchange markets (US dollar against the Deutsmark and against the Yen), in the major world stock markets, in the U.S. and Japanese bond market and in the…

Statistical Mechanics · Physics 2011-04-07 A. Johansen , D. Sornette

Recurrence Plot (RP) and Recurrence Quantification Analysis RQA) are signal numerical analysis methodologies able to work with non linear dynamical systems and non stationarity. Moreover they well evidence changes in the states of a…

Physics and Society · Physics 2012-10-03 Annalisa Fabretti , Marcel Ausloos

We propose a set of dependence measures that are non-linear, local, invariant to a wide range of transformations on the marginals, can show tail and risk asymmetries, are always well-defined, are easy to estimate and can be used on any…

Statistical Finance · Quantitative Finance 2023-09-04 Aleksy Leeuwenkamp , Wentao Hu

Cross-sectional signatures of market panic were recently discussed on daily time scales in [1], extended here to a study of cross-sectional properties of stocks on intra-day time scales. We confirm specific intra-day patterns of dispersion…

Statistical Finance · Quantitative Finance 2010-10-26 Lisa Borland , Yoan Hassid

We study the dynamic evolution of cross-correlations in the Chinese stock market mainly based on the random matrix theory (RMT). The correlation matrices constructed from the return series of 367 A-share stocks traded on the Shanghai Stock…

Statistical Finance · Quantitative Finance 2017-02-08 Fei Ren , Wei-Xing Zhou

We make use of wavelet transform to study the multi-scale, self similar behavior and deviations thereof, in the stock prices of large companies, belonging to different economic sectors. The stock market returns exhibit multi-fractal…

Statistical Finance · Quantitative Finance 2015-03-13 Sayantan Ghosh , P. Manimaran , Prasanta K. Panigrahi

Methods for detecting structural changes, or change points, in time series data are widely used in many fields of science and engineering. This chapter sketches some basic methods for the analysis of structural changes in time series data.…

Statistical Finance · Quantitative Finance 2018-08-28 Christian Kleiber

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

We develop a stochastic macro-financial model in continuous time by integrating two specifications of the Keen economic framework with a financial market driven by a jump-diffusion process. The economic block of the model combines monetary…

General Finance · Quantitative Finance 2026-03-10 Matheus R. Grasselli , Adrien Nguyen-Huu

Based on a continuous-time stochastic volatility model with a linear drift, we develop a test for explosive behavior in financial asset prices at a low frequency when prices are sampled at a higher frequency. The test exploits the…

Econometrics · Economics 2024-05-06 H. Peter Boswijk , Jun Yu , Yang Zu

Methodology that recently lead us to predict to an amazing accuracy the date (July 11, 2008) of reverse of the oil price up trend is briefly summarized and some further aspects of the related oil price dynamics elaborated. This methodology…

Statistical Finance · Quantitative Finance 2008-12-02 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka

We examine how the most prevalent stochastic properties of key financial time series have been affected during the recent financial crises. In particular we focus on changes associated with the remarkable economic events of the last two…

General Finance · Quantitative Finance 2014-03-28 Menelaos Karanasos , Alexandros Paraskevopoulos , Faek Menla Ali , Michail Karoglou , Stavroula Yfanti

Statistics of drawdowns (loss from the last local maximum to the next local minimum) plays an important role in risk assessment of investment strategies. As they incorporate higher ($>$ two) order correlations, they offer a better measure…

Condensed Matter · Physics 2009-11-07 Anders Johansen
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