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The prediction of foreign exchange rates, such as the US Dollar (USD) to Bangladeshi Taka (BDT), plays a pivotal role in global financial markets, influencing trade, investments, and economic stability. This study leverages historical…

Recent years have witnessed a surge of biological interest in the minimum spanning tree (MST) problem for its relevance to automatic model construction using the distances between data points. Despite the increasing use of MST algorithms…

Quantitative Methods · Quantitative Biology 2015-11-02 Momoko Hayamizu , Hiroshi Endo , Kenji Fukumizu

We studied the topology of correlation networks among 34 major currencies using the concept of a minimal spanning tree and hierarchical tree for the full years of 2007-2008 when major economic turbulence occurred. We used the USD (US…

General Finance · Quantitative Finance 2010-10-28 Mustafa Keskin , Bayram Deviren , Yusuf Kocakaplan

We introduce a tractable multi-currency model with stochastic volatility and correlated stochastic interest rates that takes into account the smile in the FX market and the evolution of yield curves. The pricing of vanilla options on FX…

Pricing of Securities · Quantitative Finance 2013-03-13 Alessandro Gnoatto , Martino Grasselli

Based on a recently proposed $q$-dependent detrended cross-correlation coefficient $\rho_q$, we generalize the concept of minimum spanning tree (MST) by introducing a family of $q$-dependent minimum spanning trees ($q$MST) that are…

Statistical Finance · Quantitative Finance 2017-05-19 Jaroslaw Kwapien , Pawel Oswiecimka , Marcin Forczek , Stanislaw Drozdz

We calculated the cross correlations between the half-hourly times series of the ten Dow Jones US economic sectors over the period February 2000 to August 2008, the two-year intervals 2002--2003, 2004--2005, 2008--2009, and also over 11…

Statistical Finance · Quantitative Finance 2015-05-20 Yiting Zhang , Gladys Hui Ting Lee , Jian Cheng Wong , Jun Liang Kok , Manamohan Prusty , Siew Ann Cheong

In a financial exchange, market impact is a measure of the price change of an asset following a transaction. This is an important element of market microstructure, which determines the behaviour of the market following a trade. In this…

Trading and Market Microstructure · Quantitative Finance 2023-05-15 Christopher J. Cho , Timothy J. Norman , Manuel Nunes

The multifractal behavior for tick data of prices is investigated in Korean financial market. Using the rescaled range analysis(R/S analysis), we show the multifractal nature of returns for the won-dollar exchange rate and the KOSPI. We…

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

The time dependence of the recently introduced minimum spanning tree description of correlations between stocks, called the ``asset tree'' have been studied to reflect the economic taxonomy. The nodes of the tree are identified with stocks…

Statistical Mechanics · Physics 2009-11-10 J. -P. Onnela , A. Chakraborti , K. Kaski , J. Kertesz , A. Kanto

The goal of developing a firmer theoretical understanding of inhomogenous temporal processes -- in particular, the waiting times in some collective dynamical system -- is attracting significant interest among physicists. Quantifying the…

Statistical Finance · Quantitative Finance 2015-06-12 Guannan Zhao , Mark McDonald , Dan Fenn , Stacy Williams , Neil F. Johnson

We consider the effects of the 2008 global financial crisis on the global stock market before, during, and after the crisis. We generate complex networks from a cross-correlation matrix such as the threshold network (TN) and the minimal…

General Finance · Quantitative Finance 2018-06-13 Jae Woo Lee , Ashadun Nobi

The conventional formal tool to detect effects of the financial persistence is in terms of the Hurst exponent. A typical corresponding result is that its value comes out close to 0.5, as characteristic for geometric Brownian motion, with at…

Physics and Society · Physics 2008-12-02 R. Rak , S. Drozdz , J. Kwapien , P. Oswiecimka

Non Fungible Token (NFT) Industry has been witnessing multi-million dollar trade in recent times. With rapid innovation of the NFT market environment by technology, innovation, and decentralization, it is becoming hard to distinguish…

General Finance · Quantitative Finance 2022-01-19 Mayukh Mukhopadhyay , Kaushik Ghosh

In this paper, we study the form over the minimum spanning tree problem (MST) from which we will derive an intuitively generalized model and new methods with the upper bound of runtimes of logarithm. The new pattern we made has taken…

Discrete Mathematics · Computer Science 2017-06-26 Yong Tan

For the pedestrian observer, financial markets look completely random with erratic and uncontrollable behavior. To a large extend, this is correct. At first approximation the difference between real price changes and the random walk model…

Statistical Finance · Quantitative Finance 2011-08-22 Laurent Schoeffel

Based on the cryptocurrency market dynamics, this study presents a general methodology for analyzing evolving correlation structures in complex systems using the $q$-dependent detrended cross-correlation coefficient \rho(q,s). By extending…

Statistical Finance · Quantitative Finance 2025-10-29 Marcin Wątorek , Marija Bezbradica , Martin Crane , Jarosław Kwapień , Stanisław Drożdż

We explore various extensions of Challet and Zhang's Minority Game in an attempt to gain insight into the dynamics underlying financial markets. First we consider a heterogeneous population where individual traders employ differing `time…

Condensed Matter · Physics 2007-05-23 Neil F. Johnson , Michael Hart , Pak Ming Hui , Dafang Zheng

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

Recent developments in the global liberalization of equity and currency markets, coupled to advances in trading technologies, are making markets increasingly interdependent. This increased fluidity raises questions about the stability of…

adap-org · Physics 2019-08-15 Tad Hogg , Bernardo A. Huberman , Michael Youssefmir

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