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This paper examines a semi-analytical approach for pricing American options in time-inhomogeneous models characterized by negative interest rates (for equity/FX) or negative convenience yields (for commodities/cryptocurrencies). Under such…

Pricing of Securities · Quantitative Finance 2025-07-22 Andrey Itkin , Yerkin Kitapbayev

Using high-frequency time series of stock prices and share volumes sizes from January 2002-May 2009, this paper investigates whether the effects of the onset of high-frequency trading, most prominent since 2005, are apparent in the dynamics…

Trading and Market Microstructure · Quantitative Finance 2010-09-22 Reginald D. Smith

A time series model for the FX dynamics is presented which takes into account structural peculiarities of the market, namely its heterogeneity and an information flow from long to short time horizons. The model emerges from an analogy…

Statistical Mechanics · Physics 2016-08-31 Wolfgang Breymann , Shoaleh Ghashghaie , Peter Talkner

To understand how fluctuations arise and are distributed in international trade, a question crucial for economic risk assessment and policymaking, we analyze strong adverse fluctuations-collapsed trades-defined as individual trades with…

Physics and Society · Physics 2026-01-30 Jung-Ho Kim , Sudo Yi , Sang-Hwan Gwak , K. -I. Goh , D. -S. Lee

We consider the robust pricing and hedging of American options in a continuous time setting. We assume asset prices are continuous semimartingales, but we allow for general model uncertainty specification via adapted closed convex…

Mathematical Finance · Quantitative Finance 2025-10-08 Ivan Guo , Jan Obłój

This work builds upon the long-standing conjecture that linear diffusion models are inadequate for complex market dynamics. Specifically, it provides experimental validation for the author's prior arguments that realistic market dynamics…

Statistical Finance · Quantitative Finance 2025-09-04 Igor Halperin

We use techniques from network science to study correlations in the foreign exchange (FX) market over the period 1991--2008. We consider an FX market network in which each node represents an exchange rate and each weighted edge represents a…

Trading and Market Microstructure · Quantitative Finance 2010-04-13 Daniel J. Fenn , Mason A. Porter , Peter J. Mucha , Mark McDonald , Stacy Williams , Neil F. Johnson , Nick S. Jones

We consider mesoscopic fluctuations of the Coulomb drag coefficient $\rho_D$ in the system of two separated two-dimensional electron gases. It is shown that at low temperatures sample to sample fluctuations of $\rho_D$ exceed its ensemble…

Condensed Matter · Physics 2009-10-31 B. N. Narozhny , I. L. Aleiner

Identifying behavior that is relatively invariant under different conditions is a challenging task in far-from-equilibrium complex systems. As an example of how the existence of a semi-invariant signature can be masked by the heterogeneity…

Statistical Finance · Quantitative Finance 2018-06-22 Abhijit Chakraborty , Soumya Easwaran , Sitabhra Sinha

Based on the tick-by-tick stock prices from the German and American stock markets, we study the statistical properties of the distribution of the individual stocks and the index returns in highly collective and noisy intervals of trading,…

Soft Condensed Matter · Physics 2015-06-24 J. Kwapien , S. Drozdz , J. Speth

Specialized topics on financial data analysis from a numerical and physical point of view are discussed. They pertain to the analysis of crash prediction in stock market indices and to the persistence or not of coherent and random sequences…

Condensed Matter · Physics 2007-05-23 M. Ausloos , K. Ivanova

A theory which describes the share price evolution at financial markets as a continuous-time random walk has been generalized in order to take into account the dependence of waiting times t on price returns x. A joint probability density…

Statistical Mechanics · Physics 2015-06-24 Przemyslaw Repetowicz , Peter Richmond

We present a simple hybrid dynamical model as a tool to investigate behavioral strategies based on trend following. The multiplicative symbolic dynamics are generated using a lognormal diffusion model for the at-the-money implied volatility…

Probability · Mathematics 2008-12-02 Ted Theodosopoulos , Alex Trifunovic

Many studies have shown that there are good reasons to claim very low predictability of currency nevertheless, the deviations from true randomness exist which have potential predictive and prognostic power [J.James, Quantitative finance 3…

Statistical Finance · Quantitative Finance 2015-05-30 Tomáš Tokár , Denis Horváth

Accurate forecasting of the EUR/USD exchange rate is crucial for investors, businesses, and policymakers. This paper proposes a novel framework, IUS, that integrates unstructured textual data from news and analysis with structured data on…

Computational Finance · Quantitative Finance 2025-06-30 Hongcheng Ding , Xuanze Zhao , Ruiting Deng , Shamsul Nahar Abdullah , Deshinta Arrova Dewi

Within the mode-coupling theory for ideal glass-transitions, the mean-squared displacement and the correlation function for density fluctuations are evaluated for a colloidal liquid of particles interacting with a square-well potential for…

Soft Condensed Matter · Physics 2007-05-23 M. Sperl

This paper presents the implementation of an advanced artificial intelligence-based algorithmic trading system specifically designed for the EUR-USD pair within the high-frequency environment of the Forex market. The methodological approach…

Artificial Intelligence · Computer Science 2025-11-21 Juan C. King , Jose M. Amigo

We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an asset and the excess demand for that asset. The construction of…

Dynamical Systems · Mathematics 2009-09-29 Vladimir Belitsky , Antonio L. Pereira , Fernando P. de Almeida Prado

We study the asymptotic behavior of distribution densities arising in stock price models with stochastic volatility. The main objects of our interest in the present paper are the density of time averages of the squared volatility process…

Pricing of Securities · Quantitative Finance 2009-06-03 A. Gulisashvili , E. M. Stein

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