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We investigate the presence of residual multifractal background for monofractal signals which appears due to the finite length of the signals and (or) due to the long memory the signals reveal. This phenomenon is investigated numerically…

Data Analysis, Statistics and Probability · Physics 2011-09-27 Dariusz Grech , Grzegorz Pamula

This paper mainly utilizes the ARDL model and principal component analysis to investigate the relationship between the volatility of China's Shanghai Composite Index returns and the variables of exchange rate and domestic and foreign bond…

General Economics · Economics 2025-01-16 Jingchu Zhang

The inversion formula for conservative multifractal measures was unveiled mathematically a decade ago, which is however not well tested in real complex systems. In this Letter, we propose to verify the inversion formula using high-frequency…

Statistical Finance · Quantitative Finance 2009-02-11 Zhi-Qiang Jiang , Wei-Xing Zhou

The decentralized international market of currency trading is a prototypical complex system having a highly heterogeneous composition. To understand the hierarchical structure relating the price movement of different currencies in the…

Statistical Finance · Quantitative Finance 2022-01-07 Abhijit Chakraborty , Soumya Easwaran , Sitabhra Sinha

In this paper we test the random walk hypothesis on the high frequency dataset of the bid--ask Deutschemark/US dollar exchange rate quotes registered by the inter-bank Reuters network over the period October 1, 1992 to September 30, 1993.…

Statistical Mechanics · Physics 2009-10-31 R. Baviera , D. Vergni , A. Vulpiani

Data series generated by complex systems exhibit fluctuations on many time scales and/or broad distributions of the values. In both equilibrium and non-equilibrium situations, the natural fluctuations are often found to follow a scaling…

Data Analysis, Statistics and Probability · Physics 2008-04-07 Jan W. Kantelhardt

This paper estimates models of high frequency index futures returns using `around the clock' 5-minute returns that incorporate the following key features: multiple persistent stochastic volatility factors, jumps in prices and volatilities,…

Applications · Statistics 2014-01-23 Jonathan R. Stroud , Michael S. Johannes

When trading American and Asian options in the FX derivatives market, banks must calculate prices using a complex mathematical model. It is often observed that different models produce varying prices for the same exotic option, which…

Pricing of Securities · Quantitative Finance 2023-04-24 Dongli Wu , Bufan Zhang , Xiao Lin

This paper examines how shocks to currency volatilities predict exchange rates. Using option-implied volatilities, we construct a dynamic, directed network of volatility connections. Currencies that transmit more volatility shocks, which…

General Finance · Quantitative Finance 2026-03-12 Mykola Babiak , Jozef Barunik

Most empirical microstructure research assumes that order flow--return parameters are constant, yet these relationships shift substantially across market regimes. Combining adaptive Kalman filtering, Markov-switching regime identification,…

Computational Finance · Quantitative Finance 2026-02-26 Sungwoo Kang

We have performed detailed multifractal analysis on the minutely volatility of two indexes and 1139 stocks in the Chinese stock markets based on the partition function approach. The partition function $\chi_q(s)$ scales as a power law with…

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

We show that time-dependent fluctuations $\{\Delta x\}$ in foreign exchange rates are accurately described by a random walk in a complex plane that is demarcated into the gain (+) and loss (-) sectors. $\{\Delta x\}$ is the outcome of $N$…

Computational Physics · Physics 2008-12-10 Johnrob Bantang , May Lim , Patricia Arielle Castro , Christopher Monterola , Caesar Saloma

The finite sample effect on the Hurst exponent (HE) of realized volatility time series is examined using Bitcoin data. This study finds that the HE decreases as the sampling period $\Delta$ increases and a simple finite sample ansatz…

Statistical Finance · Quantitative Finance 2025-11-06 Tetsuya Takaishi

We apply the formalism of the continuous time random walk (CTRW) theory to financial tick data of the bond futures transacted in Korean Futures Exchange (KOFEX) market. For our case, the tick dynamical behaviors of the returns and…

Statistical Mechanics · Physics 2008-12-10 Kyungsik Kim , Seong-Min Yoon , Jum Soo Choi

This article examines how emerging economies use countercyclical monetary policies to manage economic crises and fluctuations in dominant currencies, such as the US dollar and the euro. Global economic cycles are marked by phases of…

Computational Finance · Quantitative Finance 2024-10-31 Hugo Spring-Ragain

This study investigates the relationship between the market volatility of the iShares Asia 50 ETF (AIA) and economic and market sentiment indicators from the United States, China, and globally during periods of economic uncertainty.…

Econometrics · Economics 2025-07-23 Bahram Adrangi , Arjun Chatrath , Saman Hatamerad , Kambiz Raffiee

Climate change has driven the market to seek new ways of raising funds to mitigate its effects. One such innovation is the emergence of Green Bonds financial assets specifically designed to support sustainable projects. This study explores…

A large collection of daily time series for 60 world currencies' exchange rates is considered. The correlation matrices are calculated and the corresponding Minimal Spanning Tree (MST) graphs are constructed for each of those currencies…

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

The aim of this paper is to dig deeper into understanding the exchange rates and uncertainty dependence. Using the novel Baker et al. (2020)'s daily Twitter Uncertainty Index and BRICS exchange rates, we investigate their extreme tail…

Computational Finance · Quantitative Finance 2025-11-10 Nourhaine Nefzi , Abir Abid

This study investigates the volatility of daily Bitcoin returns and multifractal properties of the Bitcoin market by employing the rolling window method and examines relationships between the volatility asymmetry and market efficiency.…

Statistical Finance · Quantitative Finance 2021-02-18 Tetsuya Takaishi