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We study the complexity of the stock market by constructing $\epsilon$-machines of Standard and Poor's 500 index from February 1983 to April 2006 and by measuring the statistical complexities. It is found that both the statistical…

Physics and Society · Physics 2015-06-26 Joongwoo Brian Park , Jeong Won Lee , Jae-Suk Yang , Hang-Hyun Jo , Hie-Tae Moon

In this paper, we perform statistical segmentation and clustering analysis of the Dow Jones Industrial Average time series between January 1997 and August 2008. Modeling the index movements and log-index movements as stationary Gaussian…

General Finance · Quantitative Finance 2009-04-21 Wong Jian Cheng , Lian Heng , Cheong Siew Ann

Through a novel approach, this paper shows that substantial change in stock market behavior has a statistically and economically significant impact on equity risk premium predictability both on in-sample and out-of-sample cases. In line…

Statistical Finance · Quantitative Finance 2025-09-16 Kuok Sin Un , Marcel Ausloos

Recent literature seek to forecast implied volatility derived from equity, index, foreign exchange, and interest rate options using latent factor and parametric frameworks. Motivated by increased public attention borne out of the…

Statistical Finance · Quantitative Finance 2020-09-22 Fearghal Kearney , Han Lin Shang , Lisa Sheenan

This paper presents a novel idea on incorporating the Moon phases to the classic Gregorian (Solar) calendar time sampling methods for finding meaningful patterns in the stock markets. The four main Moon phases (New Moon, First quarter, Full…

Statistical Finance · Quantitative Finance 2022-01-03 Luis A. Mateos

This paper presents a novel study on harnessing Large Language Models' (LLMs) outstanding knowledge and reasoning abilities for explainable financial time series forecasting. The application of machine learning models to financial time…

Machine Learning · Computer Science 2023-06-21 Xinli Yu , Zheng Chen , Yuan Ling , Shujing Dong , Zongyi Liu , Yanbin Lu

We investigate the use of the Hurst exponent, dynamically computed over a moving time-window, to evaluate the level of stability/instability of financial firms. Financial firms bailed-out as a consequence of the 2007-2010 credit crisis show…

Statistical Finance · Quantitative Finance 2013-05-24 Raffaello Morales , T. Di Matteo , Ruggero Gramatica , Tomaso Aste

Financial networks are typically estimated by applying standard time series analyses to price-based economic variables collected at low-frequency (e.g., daily or monthly stock returns or realized volatility). These networks are used for…

Statistical Finance · Quantitative Finance 2022-08-09 Kara Karpman , Sumanta Basu , David Easley

The lead-lag relationship plays a vital role in financial markets. It is the phenomenon where a certain price-series lags behind and partially replicates the movement of leading time-series. The present research proposes a new technique…

Statistical Finance · Quantitative Finance 2020-05-12 Kartikay Gupta , Niladri Chatterjee

First, we emphasize that the real estate price peaks which are currently under way in many industrialized countries (one important exception is Japan) share many of the characteristics of previous historical price peaks. In particular, we…

Physics and Society · Physics 2007-05-23 Bertrand M. Roehner

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

Using the correlation matrix formalism we study the temporal aspects of the Warsaw Stock Market evolution as represented by the WIG20 index. The high frequency (1 min) WIG20 recordings over the time period between January 2001 and October…

Data Analysis, Statistics and Probability · Physics 2008-12-02 R. Rak , S. Drozdz , J. Kwapien , P. Oswiecimka

Standard methods and theories in finance can be ill-equipped to capture highly non-linear interactions in financial prediction problems based on large-scale datasets, with deep learning offering a way to gain insights into correlations in…

Computational Finance · Quantitative Finance 2020-04-22 Ben Moews , Gbenga Ibikunle

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

Nowadays, when crashes and crises are rather frequent events, an effective monitoring system for the international financial market is needed. Modern nonlinear methods, such as Recurrence Quantification Analysis (RQA), demonstrate the…

Statistical Finance · Quantitative Finance 2011-12-02 Sergii Piskun , Oleksandr Piskun , Dmitry Chabanenko

We respond to Sornette and Johansen's criticisms of our findings regarding log-periodic precursors to financial crashes. Included in this paper are discussions of the Sornette-Johansen theoretical paradigm, traditional methods of…

Condensed Matter · Physics 2007-05-23 James A. Feigenbaum

In this paper, I present the first comprehensive, around-the-clock analysis of systematic jump risk by combining high-frequency market data with contemporaneous news narratives identified as the underlying causes of market jumps. These…

General Finance · Quantitative Finance 2026-04-16 Songrun He

Evidence is offered for log-periodic (in time) fluctuations in the S&P 500 stock index during the three years prior to the October 27, 1997 "correction". These fluctuations were expected on the basis of a discretely scale invariant rupture…

Condensed Matter · Physics 2015-06-25 James A. Feigenbaum , Peter G. O. Freund

New theoretical approaches about forecasting stock markets are proposed. A mathematization of the stock market in terms of arithmetical relations is given, where some simple (non-differential, non-fractal) expressions are also suggested as…

Physics and Society · Physics 2008-12-10 Caglar Tuncay

In this paper we propose a new stochastic model based on a generalization of semi-Markov chains to study the high frequency price dynamics of traded stocks. We assume that the financial returns are described by a weighted indexed…

Statistical Finance · Quantitative Finance 2015-06-05 Guglielmo D'Amico , Filippo Petroni
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