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Modern evolvements of the technologies have been leading to a profound influence on the financial market. The introduction of constituents like Exchange-Traded Funds, and the wide-use of advanced technologies such as algorithmic trading,…

Statistical Finance · Quantitative Finance 2021-08-20 Liao Zhu

We consider a simplified version of the Wealth Game, which is an agent-based financial market model with many interesting features resembling the real stock market. Market makers are not present in the game so that the majority traders are…

Physics and Society · Physics 2010-09-24 W. Y. Cheung , K. Y. Michael Wong

Interaction strategies for reward in competitive environments are significantly influenced by the nature and extent of available information. In financial markets, particularly foreign exchange (forex), traders operate independently with…

Computational Engineering, Finance, and Science · Computer Science 2024-12-03 Patrick Naivasha , George Musumba , Patrick Gikunda , John Wandeto

In this paper, we describe two approaches to model the behavior of stock prices. The first approach considers the underlying probability distribution of day-to-day price differences. The second approach models the movement of the price as a…

Applications · Statistics 2022-08-08 Khalid Aram

We survey some new progress on the pricing models driven by fractional Brownian motion \cb{or} mixed fractional Brownian motion. In particular, we give results on arbitrage opportunities, hedging, and option pricing in these models. We…

Pricing of Securities · Quantitative Finance 2010-04-20 Christian Bender , Tommi Sottinen , Esko Valkeila

The paper presents a step forward into the development of the theory of meaning. Stock and financial markets are examined from communication-theoretical perspective on the dynamics of information and meaning. This study focuses on the link…

Statistical Finance · Quantitative Finance 2023-12-19 Inga Ivanova

We propose a new set of stylized facts quantifying the structure of financial markets. The key idea is to study the combined structure of both investment strategies and prices in order to open a qualitatively new level of understanding of…

Statistical Finance · Quantitative Finance 2015-03-19 Wei-Xing Zhou , Guo-Hua Mu , Wei Chen , Didier Sornette

We introduce a new stochastic duration model for transaction times in asset markets. We argue that widely accepted rules for aggregating seemingly related trades mislead inference pertaining to durations between unrelated trades: while any…

Econometrics · Economics 2020-05-20 Samuel Gingras , William J. McCausland

Peters (2011a) defined an optimal leverage which maximizes the time-average growth rate of an investment held at constant leverage. It was hypothesized that this optimal leverage is attracted to 1, such that, e.g., leveraging an investment…

General Finance · Quantitative Finance 2020-06-12 Ole Peters , Alexander Adamou

In this paper we introduce a simple model for a financial market characterized by a single stock or good and an interplay between two different traders populations, chartists and fundamentalists, which determine the price dynamic of the…

Trading and Market Microstructure · Quantitative Finance 2010-09-29 D. Maldarella , L. Pareschi

We present several models to describe the stochastic evolution of stocks that show some strong resistance at some level and generalize to this situation the evolution based upon geometric Brownian motion. If volatility and drift are related…

Physics and Society · Physics 2009-11-13 Javier Villarroel

We propose how to quantify high-frequency market sentiment using high-frequency news from NASDAQ news platform and support vector machine classifiers. News arrive at markets randomly and the resulting news sentiment behaves like a…

General Finance · Quantitative Finance 2019-06-04 Jozef Barunik , Cathy Yi-Hsuan Chen , Jan Vecer

We consider the problem of supply and demand balancing that is stated as a minimization problem for the total expected revenue function describing the behavior of both consumers and suppliers. In the considered market model we assume that…

Optimization and Control · Mathematics 2021-06-29 Dmitry Pasechnyuk , Pavel Dvurechensky , Sergey Omelchenko , Alexander Gasnikov

A Markovian modulation captures the trend in the market and influences the market coefficients accordingly. The different scenarios presented by the market are modeled as the distinct states of a discrete-time Markov chain. In our paper, we…

Optimization and Control · Mathematics 2022-02-09 Bernardo D'Auria , José A. Salmerón

The question addressed in this paper is the performance of the optimal strategy, and the impact of partial information. The setting we consider is that of a stochastic asset price model where the trend follows an unobservable…

Portfolio Management · Quantitative Finance 2015-10-14 Ahmed Bel Hadj Ayed , Grégoire Loeper , Sofiene El Aoud , Frédéric Abergel

A model of open economics composed of producers and speculators is investigated by numerical simulations. The capital flows from the environment to the producers and from them to the speculators. The price fluctuations are suppressed by the…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Yi-Cheng Zhang

Price dynamics is analyzed in terms of a model which includes the possibility of effective forces due to trend followers or trend adverse strategies. The method is tested on the data of a minority-majority model and indeed it is capable of…

Physics and Society · Physics 2009-11-13 V. Alfi , A. De Martino , L. Pietronero , A. Tedeschi

This paper presents a stochastic model for discrete-time trading in financial markets where trading costs are given by convex cost functions and portfolios are constrained by convex sets. The model does not assume the existence of a cash…

Pricing of Securities · Quantitative Finance 2010-06-24 Teemu Pennanen

In this article we model chaotic dynamics in financial markets by treating the market price, and market makers' inventory, as anharmonic oscillators with a nonlinear coupling. The market makers' risk appetite being the key parameter that…

Statistical Finance · Quantitative Finance 2026-05-18 Will Hicks

We provide simple models for the utility function (or psychology) of an actor trading a multitude of goods for money. In this framework, money has no intrinsic consumption value, but is required as a medium of exchange. A collection of such…

Physics and Society · Physics 2026-05-25 Robert S. Farr