Optimization and Forecasting of a Securities Portfolio Based on Machine Learning Methods

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详细

The article is devoted to the demonstration and analysis of the possibilities of connecting the Markowitz model, which is a classical model for forming a portfolio of securities, and forecasting methods based on machine learning data. The relevance of the chosen topic is justified by the fact that the use of machine learning methods makes it possible to simplify the activities of financial sector workers and the work of professional stock market players, as well as reduce the complexity of interpreting mathematical models and methods of their construction for private investors. The purpose of this work is to use machine learning methods to solve the problem of building an optimal securities portfolio and predicting its behavior. Tasks:

– build a Markowitz model based on the selected data;

– to build an optimal portfolio based on the proposed optimality criterion;

– offer a time series forecast;

– to assess the adequacy of the constructed model;

– combine the Markowitz model, which belongs to the class of widely known classical models, with the construction of a prediction based on machine learning.

Methods and models: machine learning methods are used in the work, the Markowitz model is built based on the selected data, then the Markowitz model is combined with the construction of a forecast based on machine learning.

Research results: the optimal portfolio for AXP has been built and its forecast has been fulfilled. The formation of the portfolio was based on the Markowitz model. The data obtained were tested for adequacy and showed fairly good results. A portfolio was built, the optimality criterion of which is the ratio of average profitability and volatility of profitability (maximizing average profitability while minimizing its volatility). The Markowitz model, which belongs to the class of widely known classical models, was combined with the construction of a prediction based on machine learning.

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作者简介

Maria Dobrina

Financial University under the Government of the Russian Federation

编辑信件的主要联系方式.
Email: MVDobrina@fa.ru
SPIN 代码: 2442-0193

Cand. Sci. (Econ.), Senior Lecturer at the Modeling and System Analysis Department

俄罗斯联邦, Moscow

Victor Chernov

Saint-Petersburg State University of Economics

Email: viktor_chernov@mail.ru
SPIN 代码: 7759-2655

Dr. Sci. (Econ.), Professor at the Applied Mathematics and Economic and Mathematical Methods Department

俄罗斯联邦, Saint Petersburg

参考

  1. Davnis V.V., Dobrina M.V. Algorithmic modeling of a securities portfolio. —Economic forecasting: models and methods. —Voronezh. —2017. —pp. 118–123. (In Russian).
  2. Dobrina M.V. Utility functions and their application in modeling portfolio solutions. —Modern economy: problems and solutions. —2017. —№ 8 (92). —pp. 64–73. (In Russian).
  3. Dobrina M.V., Chernov V.P. Mathematical methods for optimizing investment portfolios. —Saint-Petersburg. —2024. —163 p. (In Russian).
  4. Dobrina M.V., Shishatsky A.V. Instrumental forecasting methods in the cryptocurrency market. — Economic forecasting: models and methods. —2018. —pp. 131–136. (In Russian).
  5. Yanovsky L.P., Vladykin S.N. Portfolio selection taking into account the investment horizon. — Finance and credit. —No. 29. —2009. —pp. 12–22. (In Russian).
  6. Bera A. K., Ivliev S., Lillo F. Financial econometrics and empirical market microstructure. —Switzerland. —Springer international Publ. —2015. —284 p.
  7. Cowles A. Can Stock Market Forecasters Forecast? —Econometrica. —1933. —Vol. 1. —№3. —pp. 309–324.
  8. Davis P.K., Dreyer P. RAND’s Portfolio Analysis Tool (PAT). —Theory, Methods and Reference Manual. —National defense research institute. —Copyright 2009 RAND Corporation.
  9. Markowitz H.M. Portfolio Selection. —Financial Journal. —7 (1). —1952. —pp. 77–91.
  10. Markowitz H.M. Portfolio selection: effective diversification of investments. —New York: John Wiley & Sons. —1959. —351 p.

补充文件

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2. Fig.1. Scheme of the Markowitz model.

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3. Fig. 2. Average return and return volatility for 500 portfolios.

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4. Fig. 3. Markowitz efficient frontier.

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5. Fig. 4. Residuals for the time series AChR.

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6. Fig. 5. Density for the time series AChR.

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7. Fig. 6. Results of training: test and predicted values.

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