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Date Published: 24/03/2025
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DOI: https://doi.org/10.52714/dthu.14.04S.2025.1504
Issue
Vol. 14 No. 04S (2025): Special Issue of Mekong Delta Natural Science Conference
Section
Mekong Delta Natural Science Conference
How to Cite
Lam, H. C., & Trinh, H. N. (2025). Central limit theorem in the double profit model. Dong Thap University Journal of Science, 14(04S), 1-12. https://doi.org/10.52714/dthu.14.04S.2025.1504

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Central limit theorem in the double profit model

Hoang Chuong Lam1, Huu Nghiem Trinh2,
1 College of Natural Sciences, Can Tho University, Vietnam
2 Faculty of Basic Sciences, Nam Can Tho University, Vietnam

Main Article Content

Abstract

The article aims to develop a double profit model for financial markets (including the stock market, derivatives, bonds, etc.) represented by a random walk in one-dimensional space. It seeks to determine the probability law of this model using the moment method, as previously reported by Depauw and Derrien (2009) and Lam (2014). Specifically, the article proves that the examined model converges to a normal distribution. This study can be considered a significant improvement over the models analyzed in Lam Hoang Chuong and Duong Thi Be Ba (Lam & Duong, 2017), and Lam Hoang Chuong et al. (Lam et al., 2021).

Keywords

Jacob-Bernoulli’s formula, Markov operator, normal distribution, Random walk.

Article Details

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

References

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