基于LSTM神经网络和Markovitz理论的最优投资组合模型

Yuzhe Chen, Hongming Zhang
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摘要

资产价格预测是投资组合决策的基础。本文建立了基于LSTM神经网络的资产价格预测模型,实现了资产价格预测。首先,以历史资产价格数据集作为模型的训练集,分别设置了50和80个神经元单元的两个隐藏层。其次,对第二隐层使用Adam优化器对神经网络进行优化,使损失函数最小化。最后,综合考虑环境等因素,得到资产价格预测的输出层数据,实现准确的价格预测。同时,基于马科维茨理论和动态规划理论,构建了马科维茨-动态规划模型。利用预测模型的输出数据成本,建立最优投资组合规划,优化投资组合决策,实现投资收益最大化。本文模型对投资者的投资组合决策具有重要的参考价值,对于帮助投资者在更大程度上获得更高的投资收益至关重要。
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Optimal Portfolio Model based on LSTM Neural Network and Markovitz Theory
Asset price forecasting is essential for portfolio decision-making. This paper establishes an asset price prediction model based on LSTM neural network to achieve asset price prediction. First, the historical asset price dataset is used as the training set of the model, and this paper set two hidden layers with 50 and 80 neuron units, respectively. Second, the Adam optimizer is used for the second hidden layer to optimize the neural network and minimize the loss function. Finally, the output layer data of asset price prediction is obtained considering the environment and other factors to achieve accurate price prediction. Meanwhile, this paper constructs a Markowitz-Dynamic programming model based on Markowitz and dynamic programming theories. It uses the output data cost of the prediction model to establish optimal portfolio planning, optimize portfolio decisions, and maximize investment returns. The model shown in this paper has significant reference value for investors' portfolio decisions and is essential to help investors obtain higher investment returns to a greater extent.
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