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Related papers: Identifying and Quantifying Financial Bubbles with…

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By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

General Finance · Quantitative Finance 2010-02-07 Wanfeng Yan , Ryan Woodard , Didier Sornette

By combining (i) the economic theory of rational expectation bubbles, (ii) behavioral finance on imitation and herding of investors and traders and (iii) the mathematical and statistical physics of bifurcations and phase transitions, the…

Statistical Finance · Quantitative Finance 2010-07-08 Zhi-Qiang Jiang , Wei-Xing Zhou , Didier Sornette , Ryan Woodard , Ken Bastiaensen , Peter Cauwels

The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. A major open issue is to verify the presence of LPPL in price sequences and to estimate the LPPL parameters. Estimation is complicated by the fact that…

Statistical Finance · Quantitative Finance 2011-02-01 Vincenzo Liberatore

We present a self-consistent model for explosive financial bubbles, which combines a mean-reverting volatility process and a stochastic conditional return which reflects nonlinear positive feedbacks and continuous updates of the investors'…

Risk Management · Quantitative Finance 2014-08-26 L. Lin , Ren R. E , D. Sornette

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

We present a detailed methodological study of the application of the modified profile likelihood method for the calibration of nonlinear financial models characterised by a large number of parameters. We apply the general approach to the…

Statistical Finance · Quantitative Finance 2016-02-29 Vladimir Filimonov , Guilherme Demos , Didier Sornette

The log-periodic power law (LPPL) is a model of asset prices during endogenous bubbles. If the on-going development of a bubble is suspected, asset prices can be fit numerically to the LPPL law. The best solutions can then indicate whether…

Computational Finance · Quantitative Finance 2011-02-01 Vincenzo Liberatore

Renowned method of log-periodic power law(LPPL) is one of the few ways that a financial market crash could be predicted. Alongside with LPPL, this paper propose a novel method of stock market crash using white box model derived from simple…

Statistical Finance · Quantitative Finance 2021-08-27 HyeonJun Kim

We present a heuristic argument for the propensity of Topological Data Analysis (TDA) to detect early warning signals of critical transitions in financial time series. Our argument is based on the Log-Periodic Power Law Singularity (LPPLS)…

Statistical Finance · Quantitative Finance 2023-04-17 Samuel W. Akingbade , Marian Gidea , Matteo Manzi , Vahid Nateghi

Since August 2000, the stock market in the USA as well as most other western markets have depreciated almost in synchrony according to complex patterns of drops and local rebounds. In \cite{SZ02QF}, we have proposed to describe this…

Statistical Mechanics · Physics 2008-12-02 W. -X. Zhou , D. Sornette

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

In this study, we perform a novel analysis of the 2015 financial bubble in the Chinese stock market by calibrating the Log Periodic Power Law Singularity (LPPLS) model to two important Chinese stock indices, SSEC and SZSC, from early 2014…

Statistical Finance · Quantitative Finance 2019-06-14 Min Shu , Wei Zhu

A number of papers claim that a Log Periodic Power Law (LPPL) fitted to financial market bubbles that precede large market falls or 'crashes', contain parameters that are confined within certain ranges. The mechanism that has been claimed…

Statistical Finance · Quantitative Finance 2020-07-27 David S. Bree , Nathan Lael Joseph

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

Twenty-two significant bubbles followed by large crashes or by severe corrections in the Argentinian, Brazilian, Chilean, Mexican, Peruvian, Venezuelan, Hong-Kong, Indonesian, Korean, Malaysian, Philippine and Thai stock markets indices are…

Condensed Matter · Physics 2007-05-23 Anders Johansen , Didier Sornette

Previous analyses of a large ensemble of stock markets have demonstrated that a log-periodic power law (LPPL) behavior of the prices constitutes a qualifying signature of speculative bubbles that often land with a crash. We detect such a…

Statistical Mechanics · Physics 2008-12-02 D. Sornette , W. -X. Zhou

A hypothesis that the financial log-periodicity, cascading self-similarity through various time scales, carries signatures of a law is pursued. It is shown that the most significant historical financial events can be classified amazingly…

Statistical Mechanics · Physics 2009-11-07 S. Drozdz , F. Grummer , F. Ruf , J. Speth

Using the descriptive method of log-periodic power laws (LPPL) based on a theory of behavioral herding, we use a battery of parametric and non-parametric tests to demonstrate the existence of an antibubble in the yields with maturities…

Statistical Mechanics · Physics 2008-12-02 W. -X. Zhou , D. Sornette

This study presents a three-step machine learning framework to predict bubbles in the S&P 500 stock market by combining financial news sentiment with macroeconomic indicators. Building on traditional econometric approaches, the proposed…

Statistical Finance · Quantitative Finance 2025-10-21 Abraham Atsiwo

This paper introduces the Hype Index as a novel metric to quantify media attention toward large-cap equities, leveraging advances in Natural Language Processing (NLP) for extracting predictive signals from financial news. Using the S&P 100…

Statistical Finance · Quantitative Finance 2025-06-10 Zheng Cao , Wanchaloem Wunkaew , Helyette Geman
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