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Piecewise $\alpha$-stable Ornstein-Uhlenbeck (OU) processes arising in queue networks usually do not have an explicit dissipation, which makes the related numerical methods such as Euler-Maruyama (EM) scheme more difficult to analyze. We…

Probability · Mathematics 2024-11-11 Xinghu Jin , Guodong Pang , Yu Wang , Lihu Xu

The report presents with the development and optimisation of an enhanced algorithmic trading strategy through the use of historical S&P 500 market data and earnings call sentiment analysis. The proposed strategy integrates various technical…

Artificial Intelligence · Computer Science 2026-03-24 Owen Nyo Wei Yuan , Victor Tan Jia Xuan , Ong Jun Yao Fabian , Ryan Tan Jun Wei

The paper proposes a class of financial market models which are based on inhomogeneous telegraph processes and jump diffusions with alternating volatilities. It is assumed that the jumps occur when the tendencies and volatilities are…

Pricing of Securities · Quantitative Finance 2008-12-04 Nikita Ratanov

A stochastic process with self-interaction as a model of quantum field theory is studied. We consider an Ornstein-Uhlenbeck stochastic process x(t) with interaction of the form x^{(\alpha)}(t)^4, where $\alpha$ indicates the fractional…

Quantum Physics · Physics 2017-08-23 Yaroslav Volovich

We present a theoretical framework that enables investigating rare transitions in a general model of an active particle in an external potential, with the thermal Active Ornstein-Uhlenbeck Particle (AOUP) appearing as a special case. Using…

Statistical Mechanics · Physics 2026-04-20 Vito Seinen , Peter G. Bolhuis , Daan Crommelin , Sara Jabbari Farouji , Michel Mandjes

In this paper, a neural network-based stock price prediction and trading system using technical analysis indicators is presented. The model developed first converts the financial time series data into a series of buy-sell-hold trigger…

Computational Engineering, Finance, and Science · Computer Science 2017-12-29 O. B. Sezer , M. Ozbayoglu , E. Dogdu

Stochastic differential equations are widely used in various fields; in particular, the usefulness of duality relations has been demonstrated in some models such as population models and Brownian momentum processes. In this study, a…

Statistical Mechanics · Physics 2021-02-09 Jun Ohkubo

Building on a prominent agent-based model, we present a new structural stochastic volatility asset pricing model of fundamentalists vs. chartists where the prices are determined based on excess demand. Specifically, this allows for…

Economics · Quantitative Finance 2016-05-02 Radu T. Pruna , Maria Polukarov , Nicholas R. Jennings

Performance forecasting is an age-old problem in economics and finance. Recently, developments in machine learning and neural networks have given rise to non-linear time series models that provide modern and promising alternatives to…

Statistical Finance · Quantitative Finance 2022-01-21 Carmina Fjellström

We introduce a new Self-Organized Criticality (SOC) model for simulating price evolution in an artificial financial market, based on a multilayer network of traders. The model also implements, in a quite realistic way with respect to…

Trading and Market Microstructure · Quantitative Finance 2016-06-30 Alessio Emanuele Biondo , Alessandro Pluchino , Andrea Rapisarda

We study the optimal timing strategies for trading a mean-reverting price process with afinite deadline to enter and a separate finite deadline to exit the market. The price process is modeled by a diffusion with an affine drift that…

Trading and Market Microstructure · Quantitative Finance 2018-01-09 Yerkin Kitapbayev , Tim Leung

The paper treats the financial market as a communication system, using four information-theoretic assumptions to derive an idealized model with only one parameter. State variables are scalar stationary diffusions. The model minimizes the…

Mathematical Finance · Quantitative Finance 2026-02-17 Eckhard Platen

We propose a new, data-driven approach for efficient pricing of - fixed- and float-strike - discrete arithmetic Asian and Lookback options when the underlying process is driven by the Heston model dynamics. The method proposed in this…

Computational Finance · Quantitative Finance 2024-02-19 Leonardo Perotti , Lech A. Grzelak

In recent years there have been many proposals as flexible alternatives to Gaussian based continuous time stochastic volatility models. A great deal of these models employ positive L\'evy processes. Among these are the attractive…

Statistics Theory · Mathematics 2007-06-13 Lancelot F. James

We deal with a complex-valued Ornstein-Uhlenbeck (OU) process with parameter $\lambda\in\mathbb{R}$starting from a point different from 0 and the way that it winds around the origin.The starting point of this paper is the skew product…

Probability · Mathematics 2014-12-24 Stavros Vakeroudis

We present a novel process for generating synthetic datasets tailored to assess asset allocation methods and construct portfolios within the fixed income universe. Our approach begins by enhancing the CorrGAN model to generate synthetic…

Statistical Finance · Quantitative Finance 2023-11-28 Szymon Kubiak , Tillman Weyde , Oleksandr Galkin , Dan Philps , Ram Gopal

We compare the most common SV models such as the Ornstein-Uhlenbeck (OU), the Heston and the exponential OU (expOU) models. We try to decide which is the most appropriate one by studying their volatility autocorrelation and leverage effect,…

Statistical Mechanics · Physics 2009-11-10 Josep Perello , Jaume Masoliver , Napoleon Anento

We model the logarithm of the price (log-price) of a financial asset as a random variable obtained by projecting an operator stable random vector with a scaling index matrix $\underline{\underline{E}}$ onto a non-random vector. The scaling…

Probability · Mathematics 2015-06-26 Przemysław Repetowicz , Peter Richmond

This paper introduces an information-based model for the pricing of storable commodities such as crude oil and natural gas. The model uses the concept of market information about future supply and demand as a basis for valuation. Physical…

Pricing of Securities · Quantitative Finance 2021-12-01 Dorje C. Brody , Lane P. Hughston , Xun Yang

A new method is proposed which allows a reconstruction of time series based on higher order multiscale statistics given by a hierarchical process. This method is able to model the time series not only on a specific scale but for a range of…

Data Analysis, Statistics and Probability · Physics 2009-11-13 A. P. Nawroth , J. Peinke
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