<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>This paper analyzes the main methods of stochastic optimization algorithms to construct a stochastic optimization model. The focus is on the calculation method for risk minimization, combined with the SGD algorithm to guarantee the speed of sublinear convergence. The mean variance of the risk evaluation model is determined by constructing the objective function and constraints, and the investor’s risk is minimized based on calculating the minimum variance of the model. The asset portfolio risk evaluation model can accurately describe the risk of different industries, as demonstrated by the results. According to the correlation coefficient reality, the correlation between industry indices is relatively strong, where the correlation coefficient between raw materials and the optional consumption industry is 0.865, and the correlation coefficient between the optional consumption industry and the financial industry is 0.697.</p>
</abstract>

This paper analyzes the main methods of stochastic optimization algorithms to construct a stochastic optimization model. The focus is on the calculation method for risk minimization, combined with the SGD algorithm to guarantee the speed of sublinear convergence. The mean variance of the risk evaluation model is determined by constructing the objective function and constraints, and the investor’s risk is minimized based on calculating the minimum variance of the model. The asset portfolio risk evaluation model can accurately describe the risk of different industries, as demonstrated by the results. According to the correlation coefficient reality, the correlation between industry indices is relatively strong, where the correlation coefficient between raw materials and the optional consumption industry is 0.865, and the correlation coefficient between the optional consumption industry and the financial industry is 0.697.

A study of asset portfolio risk control based on stochastic optimization

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A study of asset portfolio risk control based on stochastic optimization"}

This paper analyzes the main methods of stochastic optimization algorithms to construct a stochastic optimization model. The focus is on the calculation method...

A study of asset portfolio risk control based on stochastic optimization

Published Online: Oct 30, 2023

Page range: -

Received: Jan 24, 2023

Accepted: May 10, 2023

DOI: https://doi.org/10.2478/amns.2023.2.00884

Keywords
Stochastic optimization algorithm, Minimum variance, Mean-variance, Risk evaluation, SGD algorithm

© 2023 Yucui Bai et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A study of asset portfolio risk control based on stochastic optimization

Published Online: Oct 30, 2023

Page range: -

Received: Jan 24, 2023

Accepted: May 10, 2023

DOI: https://doi.org/10.2478/amns.2023.2.00884

KeywordsStochastic optimization algorithm, Minimum variance, Mean-variance, Risk evaluation, SGD algorithm

© 2023 Yucui Bai et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Stochastic optimization algorithm, Minimum variance, Mean-variance, Risk evaluation, SGD algorithm