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It is shown that prize changes of the US dollar - German Mark exchange rates upon different delay times can be regarded as a stochastic Marcovian process. Furthermore we show that from the empirical data the Kramers-Moyal coefficients can…

Data Analysis, Statistics and Probability · Physics 2009-10-31 Rudolf Friedrich , Joachim Peinke , Christoph Renner

In this paper we aim to improve existing empirical exchange rate models by accounting for uncertainty with respect to the underlying structural representation. Within a flexible Bayesian non-linear time series framework, our modeling…

Econometrics · Economics 2018-12-04 Niko Hauzenberger , Florian Huber

We study the evolution of probability distribution functions of returns, from the tick data of the Korean treasury bond (KTB) futures and the S$&$P 500 stock index, which can be described by means of the Fokker-Planck equation. We show that…

Physics and Society · Physics 2008-12-02 Gyuchang Lim , Soo Yong Kim , Junyuan Zhou , Seong-Min Yoon , Kyungsik Kim

This paper develops a dynamic monetary model to study the (in)stability of the fractional reserve banking system. The model shows that the fractional reserve banking system can endanger stability in that equilibrium is more prone to exhibit…

Theoretical Economics · Economics 2024-04-18 Heon Lee

In the framework of statistical time series analysis of complex dynamics we present a multiscale characterization of solar wind turbulence in the near-Earth environment. The data analysis, based on the Markov-process theory, is meant to…

Based on the Magnetospheric Multiscale (MMS) mission we look at magnetic field fluctuations in the Earth's magnetosheath. We apply the statistical analysis using a Fokker-Planck equation to investigate processes responsible for stochastic…

Plasma Physics · Physics 2023-09-14 Wiesław M. Macek , Dariusz Wójcik

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

We present a model-based output-only method for identifying from time series the parameters governing the dynamics of stochastically forced oscillators. In this context, suitable models of the oscillator's damping and stiffness properties…

Fluid Dynamics · Physics 2019-10-04 Edouard Boujo , Nicolas Noiray

Arguably the most important problem in quantitative finance is to understand the nature of stochastic processes that underlie market dynamics. One aspect of the solution to this problem involves determining characteristics of the…

Physics and Society · Physics 2009-11-13 Kevin E. Bassler , Joseph L. McCauley , Gemunu H. Gunaratne

We present a stochastic analysis of a data set consisiting of 10^6 quotes of the US Doller - German Mark exchange rate. Evidence is given that the price changes x(tau) upon different delay times tau can be described as a Markov process…

Statistical Mechanics · Physics 2009-11-07 C. Renner , J. Peinke , R. Friedrich

This working paper uses a Dynamic Factor Model ('the model') to identify underlying factors contributing to the debt-induced economic crisis in the People's Democratic Republic of Laos ('Laos'). The analysis aims to use the latent…

Econometrics · Economics 2025-03-18 Mariza Cooray , Rolando Gonzales Martinez

We explore a stochastic model that enables capturing external influences in two specific ways. The model allows for the expression of uncertainty in the parametrisation of the stochastic dynamics and incorporates patterns to account for…

Pricing of Securities · Quantitative Finance 2024-04-11 Felix L. Wolf , Griselda Deelstra , Lech A. Grzelak

We apply statistical analysis to search for processes responsible for turbulence in physical systems. In our previous studies, we have shown that solar wind turbulence in the inertial range of large magnetohydrodynamic scales exhibits…

Plasma Physics · Physics 2025-03-13 Dariusz Wójcik , Wiesław M. Macek

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

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

An Entropic Dynamics of exchange rates is laid down to model the dynamics of foreign exchange rates, FX, and European Options on FX. The main objective is to represent an alternative framework to model dynamics. Entropic inference is an…

Pricing of Securities · Quantitative Finance 2019-08-28 Mohammad Abedi , Daniel Bartolomeo

This paper expands on stochastic volatility models by proposing a data-driven method to select the macroeconomic events most likely to impact volatility. The paper identifies and quantifies the effects of macroeconomic events across…

Statistical Finance · Quantitative Finance 2024-11-26 Igor Martins , Hedibert Freitas Lopes

The North Atlantic Oscillation (NAO) monthly index is studied from 1825 till 2002 in order to identify the scaling ranges of its fluctuations upon different delay times and to find out whether or not it can be regarded as a Markov process.…

Chaotic Dynamics · Physics 2009-11-10 C. Collette , M. Ausloos

There is intense interest in understanding the stochastic and dynamical properties of the global Foreign Exchange (FX) market, whose daily transactions exceed one trillion US dollars. This is a formidable task since the FX market is…

Physics and Society · Physics 2009-11-11 Neil F. Johnson , Mark McDonald , Omer Suleman , Stacy Williams , Sam Howison

The shape and tails of partial distribution functions (PDF) for a financial signal, i.e. the S&P500 and the turbulent nature of the markets are linked through a model encompassing Tsallis nonextensive statistics and leading to evolution…

Condensed Matter · Physics 2009-11-10 Marcel Ausloos , Kristinka Ivanova
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