Results 11 to 20 of about 52,895 (269)

The Confidence Limits of a Geometric Brownian Motion [PDF]

open access: yes, 2006
This paper investigates whether the assumption of Brownian motion often used to describe commodity price movements is satisfied. Using historical data from 17 commodity futures contracts specific tests of fractional and ordinary Brownian motion are ...
Power, Gabriel J., Turvey, Calum G.
core   +2 more sources

Arbitrage problems with reflected geometric Brownian motion [PDF]

open access: yesFinance and Stochastics, 2022
AbstractContrary to the claims made by several authors, a financial market model in which the price of a risky security follows a reflected geometric Brownian motion is not arbitrage-free. In fact, such models violate even the weakest no-arbitrage condition considered in the literature. Consequently, they do not admit numéraire portfolios or equivalent
Buckner, Dean   +2 more
openaire   +3 more sources

Ergodicity Breaking in Geometric Brownian Motion [PDF]

open access: yesPhysical Review Letters, 2013
5 pages, 3 ...
Ole Peters, William Klein
openaire   +4 more sources

Nonergodicity of reset geometric Brownian motion

open access: yesPhysical Review E, 2022
Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe ...
Vinod, Deepak   +4 more
openaire   +4 more sources

Numerical Stabilities of Vasicek and Geometric Brownian Motion Models

open access: yesEuropean Journal of Mathematical Analysis, 2023
Stochastic differential equations (SDEs) are very often used as models for a large number of phenomena in the physical, economic and management sciences.
O. C. Badibi   +3 more
doaj   +1 more source

Exact distributions of the maximum and range of random diffusivity processes

open access: yesNew Journal of Physics, 2021
We study the extremal properties of a stochastic process x _t defined by the Langevin equation ${\dot {x}}_{t}=\sqrt{2{D}_{t}}\enspace {\xi }_{t}$ , in which ξ _t is a Gaussian white noise with zero mean and D _t is a stochastic ‘diffusivity’, defined as
Denis S Grebenkov   +4 more
doaj   +1 more source

The effects of incorporating memory and stochastic volatility into GBM to forecast exchange rates of Euro

open access: yesAlexandria Engineering Journal, 2022
The performance of financial trading in any country depends significantly on the role of exchange rate, specifically the activity of international trading.
Mohammed Alhagyan
doaj   +1 more source

Large deviations for rough paths of the fractional Brownian motion [PDF]

open access: yes, 2004
Starting from the construction of a geometric rough path associated with a fractional Brownian motion with Hurst parameter $H\in]{1/4}, {1/2}[$ given by Coutin and Qian (2002), we prove a large deviation principle in the space of geometric rough paths ...
Millet, Annie, Sanz-Solé, Marta
core   +5 more sources

Research on Systemic Risk of the Turkish Banking Industry Based on a Systemic Risk Measurement Framework of the Fractional Brownian Motion

open access: yesDiscrete Dynamics in Nature and Society, 2021
Since the 2008 financial crisis, it is an important issue to assess the systemic risk of banks, but there is a lack of research on the assessment of the systemic risk of Turkey’s financial system. In addition, geometric Brownian motion is used in most of
Hong Fan, Lingli Feng, Ruoyu Zhou
doaj   +1 more source

Impact of The Coronavirus Covid-19 On Enterprises Sector In Poland - Evidence From The Warsaw Stock Exchange Index

open access: yesJournal of Modern Science, 2022
Objectives The Covid-19 coronavirus pandemic created many doubts and unknowns in all areas of the activity of enterprises, not only for those smaller and more turbulent-prone entities but also for seemingly stronger players on the market. The fundamental
Adam Oleksiuk, Rafał Łochowski
doaj   +1 more source

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