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Entropy corrected geometric Brownian motion [PDF]
Scientific ReportsThe geometric Brownian motion (GBM) is widely used for modeling stochastic processes, particularly in finance. However, its solutions are constrained by the assumption that the underlying distribution of returns follows a log-normal distribution.
Rishabh Gupta +3 more
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Generalised Geometric Brownian Motion: Theory and Applications to Option Pricing [PDF]
Entropy, 2020 Classical option pricing schemes assume that the value of a financial asset follows a geometric Brownian motion (GBM). However, a growing body of studies suggest that a simple GBM trajectory is not an adequate representation for asset dynamics, due to ...
Viktor Stojkoski +4 more
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Mathematics, 2021 In this article, we propose a test of the dynamics of stock market indexes typical of the US and EU capital markets in order to determine which of the two fundamental hypotheses, efficient market hypothesis (EMH) or fractal market hypothesis (FMH), best ...
Vasile Brătian +4 more
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Frontiers in Applied Mathematics and StatisticsThis research is devoted to studying a geometric Brownian motion with drift switching driven by a 2 × 2 Markov chain. A discrete-time multiplicative approximation scheme was developed, and its convergence in Skorokhod topology to the continuous-time ...
Vitaliy Golomoziy +2 more
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An Empirical Analysis of Price Jump and Asymmetric Information in Tehran Stock Exchange [PDF]
راهبرد مدیریت مالی, 2016 Deep understanding aboutthe impact of news and information on stock market is vital for analyzing and forecasting stock return. For this purpose, stochastic differential equations, such as geometric Brownian motion, geometric Brownian motion with jump ...
Saber Molaei +2 more
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Geometric fractional Brownian motion model for commodity market simulation
Alexandria Engineering Journal, 2021 The geometric Brownian motion (GBM) model is a mathematical model that has been used to model asset price paths. By incorporating Hurst parameter to GBM to characterize long-memory phenomenon, the geometric fractional Brownian motion (GFBM) model was ...
Siti Nur Iqmal Ibrahim +2 more
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Journal of Mathematics in Industry, 2021 In this paper we apply the method of stochastic characteristics to a Lighthill–Whitham–Richards model. The stochastic perturbation can be seen as errors in measurement of the traffic density.
Nora Müller, Wolfgang Bock
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PERSAMAAN DIFERENSIAL ORNSTEIN-UHLENBECK DALAM PERAMALAN HARGA SAHAM
Media Statistika, 2020 Geometric Brownian motion is one of the most widely used stock price model. One of the assumptions that is filled with stock return volatility is constant. Gamma Ornstein-Uhlenbeck process a model to describe volatility in finance.
Amam Taufiq Hidayat, Subanar Subanar
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An optimal polynomial approximation of Brownian motion [PDF]
, 2020 In this paper, we will present a strong (or pathwise) approximation of standard Brownian motion by a class of orthogonal polynomials. The coefficients that are obtained from the expansion of Brownian motion in this polynomial basis are independent ...
Foster, James +2 more
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Fractal and Fractional, 2022 As one of the main areas of value investing, the stock market attracts the attention of many investors. Among investors, market index movements are a focus of attention.
Hongwen Hu +3 more
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