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This study investigates that a characteristic time scale on an exchange rate market (USD/JPY) is examined for the period of 1998 to 2000. Calculating power spectrum densities for the number of tick quotes per minute and averaging them over…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Aki-Hiro Sato

We analyze tick data of yen-dollar exchange with a focus on its up and down movement. We show that there exists a rather particular conditional probability structure with such high frequency data. This result provides us with evidence to…

Condensed Matter · Physics 2009-11-07 Toru Ohira , Naoya Sazuka , Kouhei Marumo , Tokiko Shimizu , Misako Takayasu , Hideki Takayasu

We have discovered 12 independent new empirical scaling laws in foreign exchange data-series that hold for close to three orders of magnitude and across 13 currency exchange rates. Our statistical analysis crucially depends on an…

Statistical Finance · Quantitative Finance 2011-04-01 J. B. Glattfelder , A. Dupuis , R. B. Olsen

We study the continuous time random walk theory from financial tick data of the yen-dollar exchange rate transacted at the Japanese financial market. The dynamical behavior of returns and volatilities in this case is particularly treated at…

Other Condensed Matter · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon , C. Christopher Lee , Myung-Kul Yum

We present a systematic study of various statistical characteristics of high-frequency returns from the foreign exchange market. This study is based on six exchange rates forming two triangles: EUR-GBP-USD and GBP-CHF-JPY. It is shown that…

Statistical Finance · Quantitative Finance 2011-05-24 Stanislaw Drozdz , Jaroslaw Kwapien , Pawel Oswiecimka , Rafal Rak

For the purpose of elucidating the correlation among currencies, we analyze daily and high-resolution data of foreign exchange rates. There is strong correlation for pairs of currencies of geographically near countries. We show that there…

Statistical Mechanics · Physics 2008-12-02 Takayuki Mizuno , Shoko Kurihara , Misako Takayasu , Hideki Takayasu

We study the phase transition of dynamical herd behaviors for the yen-dollar exchange rate in the Japanese financial market. It is obtained that the probability distribution of returns satisfies the power-law behavior with three different…

Statistical Mechanics · Physics 2008-12-02 Kyungsik Kim , Seong-Min Yoon

We analyze the multifractal spectra of daily foreign exchange rates for Japan, Hong-Kong, Korea, and Thailand with respect to the United States Dollar from 1991 to 2005. We find that the return time series show multifractal spectrum…

Statistical Finance · Quantitative Finance 2019-07-10 Gabjin Oh , Cheoljun Eom , Shlomo Havlin , Woo-Sung Jung , Fengzhong Wang , H. Eugene Stanley , Seunghwan Kim

Synchronization is a phenomenon in which a pair of fluctuations adjust their rhythms when interacting with each other. We measure the degree of synchronization between the U.S. dollar (USD) and euro exchange rates and between the USD and…

Econometrics · Economics 2022-08-09 Makoto Muto , Yoshitaka Saiki

We present a simple hybrid dynamical model as a tool to investigate behavioral strategies based on trend following. The multiplicative symbolic dynamics are generated using a lognormal diffusion model for the at-the-money implied volatility…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Alex Trifunovic

We propose a useful approach for investigating the statistical properties of foreign currency exchange rates. Our approach is based on queueing theory, particularly, the so-called renewal-reward theorem. For the first passage processes of…

Data Analysis, Statistics and Probability · Physics 2008-12-02 Jun-ichi Inoue , Naoya Sazuka

This paper reports empirical evidence that a neural networks model is applicable to the statistically reliable prediction of foreign exchange rates. Time series data and technical indicators such as moving average, are fed to neural nets to…

Disordered Systems and Neural Networks · Physics 2016-08-31 V. V. Kondratenko , Yu. A Kuperin

We propose a Genetic Programming architecture for the generation of foreign exchange trading strategies. The system's principal features are the evolution of free-form strategies which do not rely on any prior models and the utilization of…

Neural and Evolutionary Computing · Computer Science 2014-11-11 Simone Cirillo , Stefan Lloyd , Peter Nordin

Power spectrum densities for the number of tick quotes per minute (market activity) on three currency markets (USD/JPY, EUR/USD, and JPY/EUR) for periods from January 1999 to December 2000 are analyzed. We find some peaks on the power…

Data Analysis, Statistics and Probability · Physics 2009-11-11 Aki-Hiro Sato

A theory which describes the share price evolution at financial markets as a continuous-time random walk has been generalized in order to take into account the dependence of waiting times t on price returns x. A joint probability density…

Statistical Mechanics · Physics 2015-06-24 Przemyslaw Repetowicz , Peter Richmond

A non-trivial probability structure is evident in the binary data extracted from the up/down price movements of very high frequency data such as tick-by-tick data for USD/JPY. In this paper, we analyze the Sony bank USD/JPY rates, ignoring…

Physics and Society · Physics 2009-11-11 Naoya Sazuka

High-frequency financial data of the foreign exchange market (EUR/CHF, EUR/GBP, EUR/JPY, EUR/NOK, EUR/SEK, EUR/USD, NZD/USD, USD/CAD, USD/CHF, USD/JPY, USD/NOK, and USD/SEK) are analyzed by utilizing the Kullback-Leibler divergence between…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Aki-Hiro Sato

Specialized topics on financial data analysis from a numerical and physical point of view are discussed. They pertain to the analysis of crash prediction in stock market indices and to the persistence or not of coherent and random sequences…

Condensed Matter · Physics 2007-05-23 M. Ausloos , K. Ivanova

We investigate intra-day foreign exchange (FX) time series using the inverse statistic analysis developed in [1,2]. Specifically, we study the time-averaged distributions of waiting times needed to obtain a certain increase (decrease)…

Other Condensed Matter · Physics 2010-05-05 M. H. Jensen , A. Johansen , F. Petroni , I. Simonsen

We have presented a novel technique of detecting intermittencies in a financial time series of the foreign exchange rate data of U.S.- Euro dollar(US/EUR) using a combination of both statistical and spectral techniques. This has been…

Statistical Finance · Quantitative Finance 2016-09-08 A. N. Sekar Iyengar
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