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In a general way, stock and bond prices do not display any significant correlation. Yet, if we concentrate our attention on specific episodes marked by a crash followed by a rebound, then we observe that stock prices have a strong…

凝聚态物理 · 物理学 2009-11-10 Sergei Maslov , Bertrand M. Roehner

Several authors have noticed the signature of log-periodic oscillations prior to large stock market crashes [cond-mat/9509033, cond-mat/9510036, Vandewalle et al 1998]. Unfortunately good fits of the corresponding equation to stock market…

统计力学 · 物理学 2009-11-07 Hans-Christian v. Bothmer , Christian Meister

We propose that large stock market crashes are analogous to critical points studied in statistical physics with log-periodic correction to scaling. We extend our previous renormalization group model of stock market prices prior to and after…

凝聚态物理 · 物理学 2015-06-25 Didier Sornette , Anders Johansen

Using the eigenvalues and eigenvectors of correlations matrices of some of the main financial market indices in the world, we show that high volatility of markets is directly linked with strong correlations between them. This means that…

统计金融 · 定量金融 2014-08-11 Leonidas Sandoval Junior , Italo De Paula Franca

The aim of this study is to investigate quantitatively whether share prices deviated from company fundamentals in the stock market crash of 2008. For this purpose, we use a large database containing the balance sheets and share prices of…

综合金融 · 定量金融 2018-08-07 Taisei Kaizoji , Michiko Miyano

To identify emerging interdependencies between traded stocks we investigate the behavior of the stocks of FTSE 100 companies in the period 2000-2015, by looking at daily stock values. Exploiting the power of information theoretical measures…

统计金融 · 定量金融 2017-07-05 Jacopo Rocchi , Enoch Yan Lok Tsui , David Saad

We study historical correlations and lead-lag relationships between individual stock risk (volatility of daily stock returns) and market risk (volatility of daily returns of a market-representative portfolio) in the US stock market. We…

统计金融 · 定量金融 2014-09-03 Stanislav S. Borysov , Alexander V. Balatsky

This review is a partial synthesis of the book ``Why stock market crash'' (Princeton University Press, January 2003), which presents a general theory of financial crashes and of stock market instabilities that his co-workers and the author…

统计力学 · 物理学 2009-11-10 D. Sornette

We propose a non linear Langevin equation as a model for stock market fluctuations and crashes. This equation is based on an identification of the different processes influencing the demand and supply, and their mathematical transcription.…

凝聚态物理 · 物理学 2009-10-31 Jean-Philippe Bouchaud , Rama Cont

The drift burst hypothesis postulates the existence of short-lived locally explosive trends in the price paths of financial assets. The recent U.S. equity and treasury flash crashes can be viewed as two high-profile manifestations of such…

计量经济学 · 经济学 2026-01-16 Kim Christensen , Roel C. A. Oomen , Roberto Renò

We argue that the word ``critical'' in the title is not purely literary. Based on our and other previous work on nonlinear complex dynamical systems, we summarize present evidence, on the Oct. 1929, Oct. 1987, Oct. 1987 Hong-Kong, Aug. 1998…

统计力学 · 物理学 2008-12-02 Anders Johansen , Didier Sornette

During a stock market peak the price of a given stock ($ i $) jumps from an initial level $ p_1(i) $ to a peak level $ p_2(i) $ before falling back to a bottom level $ p_3(i) $. The ratios $ A(i) = p_2(i)/p_1(i) $ and $ B(i)= p_3(i)/p_1(i)…

统计力学 · 物理学 2009-10-31 B. M. Roehner

Catastrophic events, though rare, do occur and when they occur, they have devastating effects. It is, therefore, of utmost importance to understand the complexity of the underlying dynamics and signatures of catastrophic events, such as…

We present a synthesis of all the available empirical evidence in the light of recent theoretical developments for the existence of characteristic log-periodic signatures of growing bubbles in a variety of markets including 8 unrelated…

凝聚态物理 · 物理学 2007-05-23 Anders Johansen , Didier Sornette , Olivier Ledoit

We test for the long-run relationship between stock prices, inflation and its uncertainty for different U.S. sector stock indexes, over the period 2002M7 to 2015M10. For this purpose we use a cointegration analysis with one structural break…

计算金融 · 定量金融 2016-03-04 Claudiu Albulescu , Christian Aubin , Daniel Goyeau

Large variations in stock prices happen with sufficient frequency to raise doubts about existing models, which all fail to account for non-Gaussian statistics. We construct simple models of a stock market, and argue that the large…

凝聚态物理 · 物理学 2015-06-25 P. Bak , M. Paczuski , M. Shubik

Using the framework of factor models, we establish the general expression of the coefficient of tail dependence between the market and a stock (i.e., the probability that the stock incurs a large loss, assuming that the market has also…

统计力学 · 物理学 2008-12-10 Y. Malevergne , D. Sornette

Motivated by the hypothesis that financial crashes are macroscopic examples of critical phenomena associated with a discrete scaling symmetry, we reconsider the evidence of log-periodic precursors to financial crashes and test the…

凝聚态物理 · 物理学 2007-05-23 James Feigenbaum

The credit crisis roiling the world's financial markets will likely take years and entire careers to fully understand and analyze. A short empirical investigation of the current trends, however, demonstrates that the losses in certain…

统计金融 · 定量金融 2015-05-13 Reginald D. Smith

In financial markets, greater volatility is usually considered synonym of greater risk and instability. However, large market downturns and upturns are often preceded by long periods where price returns exhibit only small fluctuations. To…

统计金融 · 定量金融 2018-06-13 Davide Valenti , Giorgio Fazio , Bernardo Spagnolo
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