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Research Article | Open Access

Optimization of venture portfolio based on LSTM and dynamic programming

Jiuchao BanYiran WangBingjie LiuHongjun Li( )
College of Science, Beijing Forestry University, Beijing 100083, China

These authors contributed to the work equally and should be regarded as co-first authors.

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Abstract

A rational investor always pursues a portfolio with the greatest possible return and the least possible risk. Therefore, a core issue of investment decision analysis is how to make an optimal investment choice in the market with fuzzy information and realize the balance between maximizing the return on assets and minimizing the risk. In order to find optimal investment portfolios of financial assets with high volatility, such as gold and Bitcoin, a mathematical model for formulating investment strategies based on the long short-term memory time series and the dynamic programming model combined with the greedy algorithm has been proposed in this paper. The model provides the optimal daily strategy for the five-year trading period so that it can achieve the maximum expected return every day under the condition of a certain investment amount and a certain risk. In addition, a reasonable risk measure based on historical increases is established while considering the weights brought by different investment preferences. The empirical analysis results show that the optimal total assets and initial capital obtained by the model change in the same proportion, and the model is relatively stable and has strong adaptability to the initial capital. Therefore, the proposed model has practical reference value and research significance for investors and promotes a better combination of computer technology and financial investment decision.

CLC number: 91B06, 91G10

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AIMS Mathematics
Pages 5462-5483

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Cite this article:
Ban J, Wang Y, Liu B, et al. Optimization of venture portfolio based on LSTM and dynamic programming. AIMS Mathematics, 2023, 8(3): 5462-5483. https://doi.org/10.3934/math.2023275

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Received: 10 August 2022
Revised: 08 December 2022
Accepted: 09 December 2022
Published: 15 March 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)