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The scaling behavior of the mutifractality for the sea-bottom topography of the South Sea in Korea is numerically investigated. In particular, we focus on the behavior of the $q$th-moment depth-depth correlation function of the sea-bottom…

Statistical Mechanics · Physics 2007-05-23 Kyungsik Kim , Y. S. Kong

We analyzed multifractal properties of 5-minute stock returns from a period of over two years for 100 highly capitalized American companies. The two sources: fat-tailed probability distributions and nonlinear temporal correlations, vitally…

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

Statistical and multiscaling characteristics of WTI Crude Oil prices expressed in US dollar in relation to the most traded currencies as well as to gold futures and to the E-mini S$\&$P500 futures prices on 5 min intra-day recordings in the…

Statistical Finance · Quantitative Finance 2019-06-24 Marcin Wątorek , Stanisław Drożdż , Paweł Oświȩcimka , Marek Stanuszek

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

Scaling properties in financial fluctuations are reviewed from the standpoint of statistical physics. We firstly show theoretically that the balance of demand and supply enhances fluctuations due to the underlying phase transition…

Statistical Mechanics · Physics 2008-12-10 H. Takayasu , M. Takayasu , M. P. Okazaki , K. Marumo , T. Shimizu

This study considers the multivariate segmentation procedure under the assumption of the multivariate Gaussian mixture. Jensen-Shannon divergence between two multivariate Gaussian distributions is employed as a discriminator and a recursive…

Statistical Finance · Quantitative Finance 2012-05-03 Aki-Hiro Sato

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

Based on the high-frequency recordings from Kraken, a cryptocurrency exchange and professional trading platform that aims to bring Bitcoin and other cryptocurrencies into the mainstream, the multiscale cross-correlations involving the…

Statistical Finance · Quantitative Finance 2019-07-22 Stanisław Drożdż , Ludovico Minati , Paweł Oświęcimka , Marek Stanuszek , Marcin Wątorek

Empirical analysis of the foreign exchange market is conducted based on methods to quantify similarities among multi-dimensional time series with spectral distances introduced in [A.-H. Sato, Physica A, 382 (2007) 258--270]. As a result it…

Statistical Finance · Quantitative Finance 2009-11-13 Aki-Hiro Sato

This paper investigates the effects of a price limit change on the volatility of the Korean stock market's (KRX) intraday stock price process. Based on the most recent transaction data from the KRX, which experienced a change in the price…

Trading and Market Microstructure · Quantitative Finance 2018-05-15 Wonse Kim , Sungjae Jun

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

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

In this paper we investigate the scaling behavior of the average daily exchange rate returns of the Indian Rupee against four foreign currencies namely US Dollar, Euro, Great Britain Pound and Japanese Yen. Average daily exchange rate…

Physics and Society · Physics 2009-11-11 A. Sarkar , P. Barat

Detailed study of multifractal characteristics of the financial time series of asset values and of its returns is performed using a collection of the high frequency Deutsche Aktienindex data. The tail index ($\alpha$), the Renyi exponents…

Statistical Mechanics · Physics 2009-11-07 A. Z. Gorski , S. Drozdz , J. Speth

Multifractal analysis and extensive statistical tests are performed upon intraday minutely data within individual trading days for four stock market indexes (including HSI, SZSC, S&P500, and NASDAQ) to check whether the indexes (instead of…

Statistical Finance · Quantitative Finance 2008-12-02 Zhi-Qiang Jiang , Wei-Xing Zhou

The evolution of the probability distributions of Japan and US major market indices, NIKKEI 225 and NASDAQ composite index, and $JPY/DEM$ and $DEM/USD$ currency exchange rates is described by means of the Fokker-Planck equation (FPE). In…

Statistical Mechanics · Physics 2025-10-20 K. Ivanova , M. Ausloos , H. Takayasu

In this paper we study empirically the Forward Rate Curve (FRC) of 5 different currencies. We confirm and extend the findings of our previous investigation of the U.S. Forward Rate Curve. In particular, the average FRC follows a square-root…

Condensed Matter · Physics 2007-05-23 Andrew Matacz , Jean-Philippe Bouchaud

This study examines how institutional differences and external crises shape volatility dynamics in emerging Asian stock markets. Using daily stock index returns for Indonesia, Malaysia, and the Philippines from 2010 to 2024, we estimate…

Statistical Finance · Quantitative Finance 2025-10-21 Junlin Yang

Bangladesh has experienced two distinct exchange rate regimes: a fixed exchange rate system from January 1972 to May 2003 and a floating one since June 2003. After adopting the floating exchange rate regime, Bangladesh positively impacted…

General Economics · Economics 2025-01-17 Liza Fahmida

Multifractal analysis is a forecasting technique used to study the scaling regularity properties of financial returns, to analyze the long-term memory and predictability of financial markets. In this paper, we propose a novel structural…

Statistical Finance · Quantitative Finance 2023-04-18 Foued Saâdaoui