Advances in Economics, Management and Political Sciences

- The Open Access Proceedings Series for Conferences


Proceedings of the 2nd International Conference on Financial Technology and Business Analysis

Series Vol. 50 , 01 December 2023


Open Access | Article

Portfolio Optimization by Monte Carlo Simulation

Ankang Li * 1
1 Shanghai Concord Bilingual School, Shanghai, China

* Author to whom correspondence should be addressed.

Advances in Economics, Management and Political Sciences, Vol. 50, 133-138
Published 01 December 2023. © 2023 The Author(s). Published by EWA Publishing
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Citation Ankang Li. Portfolio Optimization by Monte Carlo Simulation. AEMPS (2023) Vol. 50: 133-138. DOI: 10.54254/2754-1169/50/20230568.

Abstract

In this paper, Monte Carlo simulation is used for constructing Efficient Frontier and optimizing the portfolio. Then the performance of the optimized portfolio had been evaluated and compared to the performance of the whole market, Firstly, this study collected the closing prices of five stocks in different industries that was listed in New York stock exchange between 2023/01/01 and 2023/04/12. Secondly, to testify if the construction of the portfolio can possibly mitigate the volatility, the correlation coefficient between these chosen stocks has been calculated. Then, Monte Carlo simulation has been used to construct the Efficient Frontier and find the weights of Maximum Sharpe Ratio portfolio and Minimum Variance portfolio. Lastly, this study put the market price data between 2023/03/12 and 2023/04/12 into the portfolios which had been built in the last step. The returns were compared to the S&P 500 subsequently. As the results shows, the Maximum Sharpe Ratio portfolio is performed better than S&P 500, Minimum Variance portfolio is performed worse than S&P 500. The results of this paper show the performance of these two portfolios compare to the market, which may help investors to decide which strategy to use when it comes to constructing a portfolio.

Keywords

portfolio optimization, monte carlo simulation, S&P500

References

1. Ivanova, M., and Dospatliev, L. (2017) Application of Markowitz portfolio optimization on Bulgarian stock market from 2013 to 2016. International Journal of Pure and Applied Mathematics, 117(2), 291-307.

2. Kresta, A., and Slova, K. (2011) Solving cardinality constrained portfolio optimization problem by binary particle swarm optimization algorithm. Department of Mathematical Methods in Economics, Faculty of Economics, VŠB-Technical University of Ostrava, Sokolská třída, 33(701), 21.

3. Zanjirdar, M. (2020) Overview of portfolio optimization models. Advances in mathematical finance and applications, 5(4), 419-435.

4. Elbannan, M. A. (2015) The capital asset pricing model: an overview of the theory. International Journal of Economics and Finance, 7(1), 216-228.

5. Shah, C. A. (2015) Construction of optimal portfolio using sharpe index model & camp for bse top 15 securities. International Journal of Research and Analytical Reviews, 2(2), 168-178.

6. Marling, H., & Emanuelsson, S. (2012) The Markowitz portfolio theory. Journal of Financial Risk Management, 8(2), 1-6.

7. Wang, J. (2000) Mean-variance-VaR based portfolio optimization. Valdosta State University.

8. Harrison, R. L. (2010) Introduction to monte carlo simulation. In AIP conference proceedings, 1204(1), 17-21

9. Chaweewanchon, A., and Chaysiri, R. (2022) Markowitz Mean-Variance Portfolio Optimization with Predictive Stock Selection Using Machine Learning. International Journal of Financial Studies, 10(3), 64.

10. Kuo, R.J., and Hong, C.W. (2013) Integration of Genetic Algorithm and Particle Swarm Optimization for Investment Portfolio Optimization. Applied Mathematics & Information Sciences, 7, 2397-2408.

Data Availability

The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Authors who publish this series agree to the following terms:

1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this series.

2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this series.

3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See Open Access Instruction).

Volume Title
Proceedings of the 2nd International Conference on Financial Technology and Business Analysis
ISBN (Print)
978-1-83558-147-6
ISBN (Online)
978-1-83558-148-3
Published Date
01 December 2023
Series
Advances in Economics, Management and Political Sciences
ISSN (Print)
2754-1169
ISSN (Online)
2754-1177
DOI
10.54254/2754-1169/50/20230568
Copyright
01 December 2023
Open Access
This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited

Copyright © 2023 EWA Publishing. Unless Otherwise Stated