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This article considers a model for alternative processes for securities prices and compares this model with actual return data of several securities. The distributions of returns that appear in the model can be Gaussian as well as…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 Kyrylo Shmatov , Mikhail Smirnov

Standard quantitative models of the stock market predict a log-normal distribution for stock returns (Bachelier 1900, Osborne 1959), but it is recognised (Fama 1965) that empirical data, in comparison with a Gaussian, exhibit leptokurtosis…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Gilles Daniel

A new chaotic financial system is proposed by considering ethics involvement in a four-dimensional financial system with market confidence. A five-dimensional conformable derivative financial system is presented by introducing conformable…

General Finance · Quantitative Finance 2019-04-03 Baogui Xin , Wei Peng , Yekyung Kwon , Yanqin Liu

Prediction of events in financial markets is every investor's dream and, usually, wishful thinking. From a more general, economic and societal viewpoint, the identification of indicators for large events is highly desirable to assess…

Risk Management · Quantitative Finance 2022-08-11 Anton J. Heckens , Thomas Guhr

In this paper we employ deep learning techniques to detect financial asset bubbles by using observed call option prices. The proposed algorithm is widely applicable and model-independent. We test the accuracy of our methodology in numerical…

Mathematical Finance · Quantitative Finance 2024-06-21 Francesca Biagini , Lukas Gonon , Andrea Mazzon , Thilo Meyer-Brandis

The understanding of complex systems has become a central issue because complex systems exist in a wide range of scientific disciplines. Time series are typical experimental results we have about complex systems. In the analysis of such…

Statistical Finance · Quantitative Finance 2012-02-09 Michael C. Münnix , Takashi Shimada , Rudi Schäfer , Francois Leyvraz Thomas H. Seligman , Thomas Guhr , H. E. Stanley

The use of factor stochastic volatility models requires choosing the number of latent factors used to describe the dynamics of the financial returns process; however, empirical evidence suggests that the number and makeup of pertinent…

Applications · Statistics 2019-03-06 Taylor R. Brown

In speculative markets, risk-free profit opportunities are eliminated by traders exploiting them. Markets are therefore often described as "informationally efficient", rapidly removing predictable price changes, and leaving only residual…

Trading and Market Microstructure · Quantitative Finance 2013-10-08 Felix Patzelt , Klaus R. Pawelzik

Many studies assume stock prices follow a random process known as geometric Brownian motion. Although approximately correct, this model fails to explain the frequent occurrence of extreme price movements, such as stock market crashes. Using…

Statistical Finance · Quantitative Finance 2015-05-14 Miguel A. Fuentes , Austin Gerig , Javier Vicente

Building on a prominent agent-based model, we present a new structural stochastic volatility asset pricing model of fundamentalists vs. chartists where the prices are determined based on excess demand. Specifically, this allows for…

Economics · Quantitative Finance 2016-05-02 Radu T. Pruna , Maria Polukarov , Nicholas R. Jennings

We study the relation between serial correlation of financial returns and volatility at intraday level for the S&P500 stock index. At daily and weekly level, serial correlation and volatility are known to be negatively correlated (LeBaron…

Statistical Finance · Quantitative Finance 2008-12-02 Simone Bianco , Fulvio Corsi , Roberto Reno'

In this article we model chaotic dynamics in financial markets by treating the market price, and market makers' inventory, as anharmonic oscillators with a nonlinear coupling. The market makers' risk appetite being the key parameter that…

Statistical Finance · Quantitative Finance 2026-05-18 Will Hicks

We find a remarkable time persistence of various proxies for the kurtosis (p-kurtosis) of the intraday returns distribution for the S&P500 index and this permits a significant measure of their evolution from 1983 to 2004. There appears a…

Statistical Finance · Quantitative Finance 2011-12-12 M. A. Virasoro

We study the statistics of earning forecasts of US, EU, UK and JP stocks during the period 1987-2004. We confirm, on this large data set, that financial analysts are on average over-optimistic and show a pronounced herding behavior. These…

Other Condensed Matter · Physics 2008-12-02 Olivier Guedj , Jean-Philippe Bouchaud

We propose that the minimal requirements for a model of stock market price fluctuations should comprise time asymmetry, robustness with respect to connectivity between agents, ``bounded rationality'' and a probabilistic description. We also…

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

Challenge Theory (Shye & Haber 2015; 2020) has demonstrated that a newly devised challenge index (CI) attributable to every binary choice problem predicts the popularity of the bold option, the one of lower probability to gain a higher…

General Economics · Economics 2020-03-30 Samuel Shye , Ido Haber

Gas-solid multiphase flows are prone to develop an instability known as clustering. Two-fluid models, which treat the particulate phase as a continuum, are known to reproduce the qualitative features of this instability, producing…

Chaotic Dynamics · Physics 2017-03-23 William D. Fullmer , Christine M. Hrenya

We shortly review the statistical properties of the escape times, or hitting times, for stock price returns by using different models which describe the stock market evolution. We compare the probability function (PF) of these escape times…

Statistical Finance · Quantitative Finance 2015-05-13 Bernardo Spagnolo , Davide Valenti

Analogies between the price dynamics in the foreign exchange market and 3-dimensional fully developed turbulence were recently presented in Nature vol. 381, 767-769 (1996). Independently, we have carried out a study comparing the parallel…

Condensed Matter · Physics 2007-05-23 Rosario N. Mantegna , H. Eugene Stanley

As we show using the notion of equilibrium in the theory of infinite sequential games, bubbles and escalations are rational for economic and environmental agents, who believe in an infinite world. This goes against a vision of a self…

Computer Science and Game Theory · Computer Science 2013-05-02 Pierre Lescanne