
Application of ARIMA in Mean-Variance Portfolio Optimization
- 1 Shanghai Jiao Tong University
* Author to whom correspondence should be addressed.
Abstract
The stock market often carries investment risks, and portfolio investment can to some extent reduce investment risk, helping investors to achieve certain goal in the financial market. In this paper, stock data from March 15th, 2022, to March 20th, 2023, is collected, and the ARIMA prediction model is ap-plied in the mean-variance framework for constructing optimized portfolios. The results are summarized as follows. First, the data passed the white noise test and was used to conduct ARIMA prediction. The residual sequence of the prediction results is stable, and the model performance is good. Then, the minimum-variance model and the maximum Sharpe ratio model are imple-mented according to the predicted data. Ping An Insurance has the largest weight in the minimum variance model, and Baosteel has the largest weight in the maximum Sharpe ratio model. Overall, the result in this paper provides insightful point for financial investors.
Keywords
ARIMA, PingAn insurance, baosteel, portfolio
[1]. Markowitz, H.: Portfolio Selection: Efficient Diversification of Investments. Yale University Press (1968).
[2]. Markowitz, H.: Portfolio Selection. Journal of Finance (7), 77 (1952).
[3]. Lin, H., He, J.M.: The Defects of VaR in Portfolio Application and the CVaR Model. Finance & Trade Economics 12), 46 (2003)
[4]. Kang, Z.L., Li, Z.F.: CVaR robust mean-CVaR portfolio optimization model and the solving methods. Operations Research Transactions, 21(1), 1-12 (2017).
[5]. Eftekharian, S. E., Shojafar, M., Shamshirband, S.: 2-phase NSGA II: An optimized reward and risk measurements algorithm in portfolio optimization. Algorithms 10(4), 130 (2017).
[6]. Liu, R.Z., Zhou, Y.: Index Tracking Portfolio and Index Predictability under Multiple Information: Based on Adaptive LASSO and ARIMA-ANN Methods. Systems Engineering (4), 7 (2015).
[7]. Yin, X.G.: Research on Portfolio Selection Based on Machine Learning. China CIO News (12), 4 (2021).
[8]. Zhang, Y.: Stock Price Prediction Based on ARIMA and AT-LSTM Combination Models. Computer Knowledge and Technology (011) (2022).
[9]. Zhang, Z., Zohren, S., Roberts, S.: Deep Learning for Portfolio Optimisation. Papers (2020).
[10]. William, F. Sharpe.: A Simplified Model for Portfolio Analysis. Management Science9(2), (1963).
Cite this article
Yang,W. (2023). Application of ARIMA in Mean-Variance Portfolio Optimization. Advances in Economics, Management and Political Sciences,36,11-16.
Data availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
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