Optimizing Investment Portfolios Using Quadratic Programming: An Approach from the Markowitz Model
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Keywords

Markowitz
financial assets
computer simulation
investment management

How to Cite

Ceballos Bejarano, F. E., Hihuana Hallasi, J. C., & Viza Huayllaso, J. C. (2025). Optimizing Investment Portfolios Using Quadratic Programming: An Approach from the Markowitz Model. Minerva, 6(sp), 7-11. https://doi.org/10.47460/minerva.v6isp.200

Abstract

The application of the Markowitz model is analyzed from five financial assets, a matrix of logarithmic returns was constructed to estimate the parameters. Through computational resolution, the optimal portfolio was obtained that complies with an established minimum return, simultaneously minimizing the level of risk. The results were visualized across the efficient frontier, identifying the optimal combinations between risk and return. It is concluded that the Markowitz model continues to be a valid and valuable tool for the rational management of investments, especially when it is complemented with computational resources that allow it to be adapted to various financial contexts.

https://doi.org/10.47460/minerva.v6isp.200
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References

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[2] E. Franco-Arbeláez, W. Avendaño-Rúa y S. Barbutín-Díaz, “Modelo de Markowitz y modelo de Black-Litterman en la optimización de portafolios de inversión”, Saber, Ciencia y Libertad, vol. 14, n.º 2, pp. 313–330, jul.–dic. 2019.
[3] J. H. Vargas-Durán, A. C. Rodríguez-Patrón y E. A. Jiménez-Vega, “Optimización de carteras de inversión con el modelo de Markowitz: aplicación con datos reales del MILA”, Visión de Futuro, vol. 26, n.º 1, pp. 37–58, 2022.
[4] G. C. Guerrero Camargo y V. A. Aguilar Arteaga, “El modelo de Markowitz para la selección de portafolios de inversión”, Perspectivas de la Ciencia y la Tecnología, vol. 5, n.º 9, pp. 1–6, jul.–dic. 2022.
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