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We revisit the role of instrumental value as a driver of adaptive behavior. In active inference, instrumental or extrinsic value is quantified by the information-theoretic surprisal of a set of observations measuring the extent to which…

Neurons and Cognition · Quantitative Biology 2020-10-14 Alvaro Ovalle , Simon M. Lucas

The vast literature on exchange rate fluctuations estimates the exchange rate pass-through (ERPT). Most ERPT studies consider annually aggregated data for developed or large developing countries for estimating ERPT. These estimates vary…

General Economics · Economics 2023-03-08 Md Deluair Hossen

A simple Ising spin model which can describe the mechanism of price formation in financial markets is proposed. In contrast to other agent-based models, the influence does not flow inward from the surrounding neighbors to the center site,…

Statistical Mechanics · Physics 2009-11-07 K. Sznajd-Weron , R. Weron

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

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

High-frequency financial data of the foreign exchange market (EUR/CHF, EUR/GBP, EUR/JPY, EUR/NOK, EUR/SEK, EUR/USD, NZD/USD, USD/CAD, USD/CHF, USD/JPY, USD/NOK, and USD/SEK) are analyzed by utilizing the Kullback-Leibler divergence between…

Data Analysis, Statistics and Probability · Physics 2009-11-13 Aki-Hiro Sato

The paper models foreign capital inflow from the developed to the developing countries in a stochastic dynamic programming (SDP) framework. Under some regularity conditions, the existence of the solutions to the SDP problem is proved and…

Economics · Quantitative Finance 2017-05-23 Gopal K. Basak , Pranab Kumar Das , Allena Rohit

Collective behaviours taking place in financial markets reveal strongly correlated states especially during a crisis period. A natural hypothesis is that trend reversals are also driven by mutual influences between the different stock…

Statistical Finance · Quantitative Finance 2015-06-17 Thomas Bury

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

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…

We empirically analyze the scaling properties of daily Foreign Exchange rates, Stock Market indices and Bond futures across different financial markets. We study the scaling behaviour of the time series by using a generalized Hurst exponent…

Statistical Mechanics · Physics 2008-12-02 T. Di Matteo , T. Aste , M. M. Dacorogna

We analyze the multifractal spectra of daily foreign exchange rates for Japan, Hong-Kong, Korea, and Thailand with respect to the United States Dollar from 1991 to 2005. We find that the return time series show multifractal spectrum…

Statistical Finance · Quantitative Finance 2019-07-10 Gabjin Oh , Cheoljun Eom , Shlomo Havlin , Woo-Sung Jung , Fengzhong Wang , H. Eugene Stanley , Seunghwan Kim

We derived similar to Bo et al. (2010) results but in the case when the dynamics of the FX rate is driven by a general Merton jump-diffusion process. The main results of our paper are as follows: 1) formulas for the Esscher transform…

Computational Finance · Quantitative Finance 2014-02-12 Anatoliy Swishchuk , Maksym Tertychnyi , Winsor Hoang

In recent years, the popularity of artificial intelligence has surged due to its widespread application in various fields. The financial sector has harnessed its advantages for multiple purposes, including the development of automated…

Trading and Market Microstructure · Quantitative Finance 2024-11-01 Vito Alessandro Monaco , Antonio Riva , Luca Sabbioni , Lorenzo Bisi , Edoardo Vittori , Marco Pinciroli , Michele Trapletti , Marcello Restelli

A prototype model of stock market is introduced and studied numerically. In this self-organized system, we consider only the interaction among traders without external influences. Agents trade according to their own strategy, to accumulate…

Statistical Mechanics · Physics 2009-10-30 G. Caldarelli , M. Marsili , Y. -C. Zhang

In this paper we propose a semi-Markov modulated model of interest rates. We assume that the switching process is a semi-Markov process with finite state space E and the modulated process is a diffusive process. We derive recursive…

Pricing of Securities · Quantitative Finance 2012-10-12 Guglielmo D'Amico , Raimondo Manca , Giovanni Salvi

This paper studies the pricing of European-style Asian options when the price dynamics of the underlying risky asset are assumed to follow a Markov- modulated geometric Brownian motion; that is, the appreciation rate and the volatility of…

Pricing of Securities · Quantitative Finance 2014-07-22 Leunglung Chan , Song-Ping Zhu

The dynamical behavior of the currency exchange rate after its large-scale catastrophe is discussed through a case study of the rate of Russian rubles to US dollars after its crash in 2014. It is shown that, similarly to the case of the…

Statistical Finance · Quantitative Finance 2018-04-16 Vasilya Usmanova , Yury V. Lysogorskiy , Sumiyoshi Abe

We analyze structure of the world foreign currency exchange (FX) market viewed as a network of interacting currencies. We analyze daily time series of FX data for a set of 63 currencies, including gold, silver and platinum. We group…

Statistical Finance · Quantitative Finance 2009-06-03 Jaroslaw Kwapien , Sylwia Gworek , Stanislaw Drozdz , Andrzej Gorski

We show that the amount of foreign exchange reserves (FER) in the world in a given currency is highly correlated with the GDP and military spending of that country for a set of western economies during the last 20 years. Taking into account…

General Economics · Economics 2025-07-09 Boris Podobnik , Dorian Wild , Dejan Kovac