Geometric Fractional Brownian Motion Model for Commodity Market Simulation

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 longmemory phenomenon, the geometric fractional Brownian motion (GFBM) model was introduced, which allows its disjoint increments t...

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Bibliographic Details
Main Authors: Ibrahim, Siti Nur Iqmal, Misiran, Masnita, Laham, Mohamed Faris
Format: Article
Language:English
Published: Faculty of Engineering, Alexandria University 2021
Subjects:
Online Access:https://repo.uum.edu.my/id/eprint/30893/1/1-s2.0-S111001682030541X-main.pdf
https://doi.org/10.1016/j.aej.2020.10.023
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Summary: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 longmemory phenomenon, the geometric fractional Brownian motion (GFBM) model was introduced, which allows its disjoint increments to be correlated. This paper investigates the accuracy of GBM and GFBM in modelling Malaysia’s crude palm oil price simulation, and to see display of persistent or anti-persistent behaviour across different periods. Results show that the GFBM model is more accurate than the GBM model in simulating future price path for the given data set