MEAN-VARIANCE PORTFOLIO OPTIMIZATION FOR EMDE AND MTDL STOCKS: A MARKOWITZ APPROACH

Authors

  • Zahra Rohadatul Aisylah Universitas Kuningan
  • Ferdiansyah Saputra Universitas Kuningan
  • Arief Surya Lesmana Universitas Kuningan https://orcid.org/0000-0002-9771-1751
  • Hadi Satria Ganefi Universitas Kuningan

DOI:

https://doi.org/10.25134/digibe.v4i2.609

Keywords:

portfolio, mean–variance , Markowitz model, return, Risk Management

Abstract

Constructing an optimal portfolio is a crucial step for investors in balancing the trade-off between expected return and investment risk. This study aims to construct an optimal portfolio comprising two stocks, EMDE and MTDL, by applying the Markowitz mean-variance model to minimize return variance at a specific return level. The methodology employs mean-variance optimization, estimating expected return, variance, and covariance based on historical return data for both stocks to determine efficient portfolio weights. The analysis reveals that the optimal portfolio consists of 19.27% EMDE stock and 80.73% MTDL stock. This combination yields an expected portfolio return of 1.33% with a return standard deviation of 8.43%, reflecting a more efficient risk-return profile compared to an allocation in a single stock. These findings indicate that diversification between EMDE and MTDL can improve portfolio risk characteristics without significantly sacrificing returns. Consequently, investors are advised to consider this combination as part of their asset allocation strategy, particularly those with moderate risk preferences who prioritize mean-variance efficiency. This study provides empirical evidence regarding the application of the Markowitz model in the Indonesian stock market and serves as a reference for future research involving a broader range of assets and data periods.

References

Bodie, Z., Kane, A., & Marcus, A. J. (2018). Investment (Eleventh). New York: McGraw-Hill Education.

Boyd, S., Johansson, K., Kahn, R., Schiele, P., & Schmelzer, T. (2024). Markowitz Portfolio Construction at Seventy. Journal of Portfolio Management, 50(8), 117–160. https://doi.org/10.3905/jpm.2024.50.8.117

Budiandriani, B., Sarira, W. T., Nurhasimah, N., Manjas, S. Z. M., & Rafiuddin, R. (2025). Optimal Portfolio Analysis Using the Markowitz Model: A Case Study in Mining Industry Companies Listed on the Indonesia Stock Exchange. Jurnal Ilmu Akuntansi, 7(2), 184–194. Retrieved from https://journal.unismuh.ac.id/index.php/invoice

Ehrmann, M., & Fratzscher, M. (2005). Equal size, equal role? Interest rate interdependence between the euro area and the United States. The Economic Journal, 115(506), 928–948. https://doi.org/10.1111/j.1468-0297.2005.01025.x

Elton, E. J., Gruber, M. J., & Stephen J. Brown. (2014). Modern Portfolio Theory and Investment Analysis (9th ed.). New York: John Wiley & Sons.

IDNFinancial. (2025). PT Metrodata Electronics Tbk [MTDL]. Retrieved May 10, 2025, from https://www.idnfinancials.com/MTDL/PT-Metrodata-Electronics-Tbk

IDNFinancials. (2025). PT. Megapolitan Developments Tbk [EMDE]. Retrieved June 1, 2026, from https://www.idnfinancials.com/id/EMDE/PT-Megapolitan-Developments-Tbk

Jeleskovic, V., Latini, C., Younas, Z. I., & Al‐Faryan, M. A. S. (2024). Cryptocurrency portfolio optimization: Utilizing a GARCH‐copula model within the Markowitz framework. Journal of Corporate Accounting & Finance, 35(4), 139–155. https://doi.org/10.1002/jcaf.22721

Lee, K. S., & Karim, Z. A. (2025). Monetary policy and sectoral stock market in Malaysia. Economic Journal of Emerging Markets, 17(2), 157–177. https://doi.org/10.20885/ejem.vol17.iss2.art4

Lesmana, A. S., Ganefi, H. S., & Muttaqien, D. D. (2025). A Hybrid Model for Stock Portfolio Selection: Mean-Value-at-Risk with Ant Colony Optimization. Indonesian Journal of Business and Economics, 8(1), 1037–1051. https://doi.org/https://doi.org/10.25134/a3r24789

Lesmana, A. S., & Maulana, Y. (2025). Analisis Portofolio Saham. WORKSHEET : Jurnal Akuntansi, 4(2), 249–261. https://doi.org/https://doi.org/10.46576/wjs.v4i2.6275

Lesmana, A. S., Wiharno, H., Maulana, Y., Supriatna, O., & Rahmantya, Y. E. K. (2024). Prediktor Kinerja IHSG dengan Pendekatan Error Correction Model. Equilibrium: Jurnal Penelitian Pendidikan Dan Ekonomi, 21(01), 113–124. Retrieved from https://journal.uniku.ac.id/index.php/Equilibrium

Levine, R. (1997). Financial Development and Economic Growth: Views and Agenda. Journal of Economic Literature, 35(2), 688–726.

Lolic, M. (2024). Practical Improvements to Mean-Variance Optimization for Multi-Asset Class Portfolios. Journal of Risk and Financial Management, 17(5), 1–11. https://doi.org/10.3390/jrfm17050183

Mandal, P. K., & Thakur, M. (2024). Higher-order moments in portfolio selection problems: A comprehensive literature review. Expert Systems with Applications, 238, 121625. https://doi.org/10.1016/j.eswa.2023.121625

Markowitz, H. (1952). PORTFOLIO SELECTION. The Journal of Finance, 7(1), 77–91. https://doi.org/10.1111/j.1540-6261.1952.tb01525.x

Nabila, A., Lorenza, A., Az-Zahra, F. G., & Yusmaniarti, Y. (2025). Efisiensi Portofolio dengan Teori Markowitz: Studi pada Saham Blue Chip Indonesia. Journal of Islamic Economics and Finance (JoIEaF), 2(2), 331–342. https://doi.org/https://doi.org/10.70248/joieaf.v2i2.3323

Ridwanudin, O., & Sari, M. (2023). Penerapan Model Markowitz dalam Memperoleh Portofolio Optimal di Pasar Saham IDX30. Image : Jurnal Riset Manajemen, 11(1), 118–129. https://doi.org/10.17509/image.2023.011

Sequeira, J. M. (2021). Monetary policy surprises, stock returns, and financial and liquidity constraints, in an exchange rate monetary policy system. The Quarterly Review of Economics and Finance, 81, 226–236. https://doi.org/10.1016/j.qref.2021.06.005

Shkolnik, A., Kercheval, A., Gurdogan, H., Goldberg, L. R., & Bar, H. (2025). Portfolio selection revisited. Annals of Operations Research, 346(1), 137–155. https://doi.org/10.1007/s10479-024-06340-7

Waluyo, D. E., Ramasamy, S., & Jamilah, S. F. (2025). Portfolio optimization using mean-variance model and single index model: Evidence from Indonesian and Malaysian capital markets. Asian Economic and Financial Review, 15(11), 1731–1747. https://doi.org/10.55493/5002.v15i11.5662

Wu, Z., Xie, G., Ge, Z., & Simone, V. De. (2024). Nonconvex multi-period mean-variance portfolio optimization. Annals of Operations Research, 332(1–3), 617–644. https://doi.org/10.1007/s10479-023-05524-x

Yusan, B. O., & Riyadi, S. (2024). Portfolio Optimization: Application and Comparison of Markowitz Model and Single Index Model on LQ45 Stocks in Indonesia Stock Exchange. International Journal of Management Science and Application, 3(1), 57–85. https://doi.org/10.58291/ijmsa.v3i1.210

Downloads

Published

17-08-2026

How to Cite

Zahra Rohadatul Aisylah, Ferdiansyah Saputra, Surya Lesmana, A., & Satria Ganefi, H. (2026). MEAN-VARIANCE PORTFOLIO OPTIMIZATION FOR EMDE AND MTDL STOCKS: A MARKOWITZ APPROACH. Digital Business and Entrepreneurship Journal, 4(2), 89–99. https://doi.org/10.25134/digibe.v4i2.609

Similar Articles

1 2 > >> 

You may also start an advanced similarity search for this article.