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This paper seeks to forecast intraday volatility curves for major foreign exchange (FX) currencies using functional GARCH models. Intraday return curves are observed at a daily frequency, yet preserve the full high-frequency trading…

Methodology · Statistics 2025-10-01 Fearghal Kearney , Han Lin Shang , Yuqian Zhao

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 tick dynamical behavior of the yen-dollar exchange rate using the rescaled range analysis in financial market. It is found that the multifractal Hurst exponents with the short and long-run memory effects can be obtained from…

Statistical Mechanics · Physics 2015-06-24 Kyungsik Kim , Seong-Min Yoon , Jum-Soo Choi

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

The performance of the multifractal detrended analysis on short time series is evaluated for synthetic samples of several mono- and multifractal models. The reconstruction of the generalized Hurst exponents is used to determine the range of…

Data Analysis, Statistics and Probability · Physics 2013-11-12 Juan Luis Lopez , Jesus Guillermo Contreras

We analyze the price return distributions of currency exchange rates, cryptocurrencies, and contracts for differences (CFDs) representing stock indices, stock shares, and commodities. Based on recent data from the years 2017--2020, we model…

Statistical Finance · Quantitative Finance 2021-07-15 Marcin Wątorek , Jarosław Kwapień , Stanisław Drożdż

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

We investigate topology and temporal evolution of the foreign currency exchange market viewed from a weighted network perspective. Based on exchange rates for a set of 46 currencies (including precious metals), we construct different…

Statistical Finance · Quantitative Finance 2009-02-02 Jaroslaw Kwapien , Sylwia Gworek , Stanislaw Drozdz

We present a simple microstructure model of financial returns that combines (i) the well-known ARFIMA process applied to tick-by-tick returns, (ii) the bid-ask bounce effect, (iii) the fat tail structure of the distribution of returns and…

Trading and Market Microstructure · Quantitative Finance 2015-06-04 A. Saichev , D. Sornette

There are many studies dealing with the analysis of similarity among currencies in foreign exchange market by using network analysis approach. In those studies, each currency is represented by a univariate time series of exchange rate…

Statistical Finance · Quantitative Finance 2016-08-30 Mansooreh Kazemilari , Maman Abdurachman Djauhari , Zuhaimy Ismail

Lead-lag relationships among assets represent a useful tool for analyzing high frequency financial data. However, research on these relationships predominantly focuses on correlation analyses for the dynamics of stock prices, spots and…

Statistical Finance · Quantitative Finance 2020-01-08 Lasko Basnarkov , Viktor Stojkoski , Zoran Utkovski , Ljupco Kocarev

We study the impact of exchange rate volatility on cost efficiency and market structure in a cross-section of banks that have non-trivial exposures to foreign currency (FX) operations. We use unique data on quarterly revaluations of FX…

Econometrics · Economics 2024-08-13 Mikhail Mamonov , Christopher Parmeter , Artem Prokhorov

The value of an asset in a financial market is given in terms of another asset known as numeraire. The dynamics of the value is non-stationary and hence, to quantify the relationships between different assets, one requires convenient…

Statistical Finance · Quantitative Finance 2019-06-26 Lasko Basnarkov , Viktor Stojkoski , Zoran Utkovski , Ljupco Kocarev

By applying the multifractal detrended fluctuation analysis to the high-frequency tick-by-tick data from Deutsche B\"orse both in the price and in the time domains, we investigate multifractal properties of the time series of logarithmic…

Other Condensed Matter · Physics 2009-11-10 P. Oswiecimka , J. Kwapien , S. Drozdz

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

In this paper we will try to assess the multifractality displayed by the high-frequency returns of Madrid's Stock Exchange IBEX35 index. A Multifractal Detrended Fluctuation Analysis shows that this index has a wide singularity spectrum…

Statistical Finance · Quantitative Finance 2015-06-16 Pablo Suárez-García , David Gómez-Ullate

The cross correlation matrix between equities comprises multiple interactions between traders with varying strategies and time horizons. In this paper, we use the Maximum Overlap Discrete Wavelet Transform to calculate correlation matrices…

Statistical Finance · Quantitative Finance 2010-01-05 Thomas Conlon , Heather J. Ruskin , Martin Crane

Asymmetric relationship between price and volatility is a prominent feature of the financial market time series. This paper explores the price-volatility nexus in cryptocurrency markets and investigates the presence of asymmetric volatility…

Statistical Finance · Quantitative Finance 2021-07-09 Shinji Kakinaka , Ken Umeno

This work studies the symmetry between colloidal dynamics and the dynamics of the Euro--US Dollar currency exchange market (EURUSD). We consider the EURUSD price in the time range between 2001 and 2015, where we find significant qualitative…

World currency network constitutes one of the most complex structures that is associated with the contemporary civilization. On a way towards quantifying its characteristics we study the cross correlations in changes of the daily foreign…

Statistical Finance · Quantitative Finance 2009-11-13 S. Drozdz , A. Z. Gorski , J. Kwapien