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All Journal Jambura Journal of Mathematics
Aliwu, Randa Resvitasari
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Mathematics

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Analysis of Optimal Portfolio Formation Using Multi-Objective Optimization Method and Nadir Compromise Programming Aliwu, Randa Resvitasari; Rahmi, Emli; Nuha, Agusyarif Rezka; Yahya, Lailany; Wungguli, Djihad; Arsal, Armayani
Jambura Journal of Mathematics Vol 7, No 1: February 2025
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.37905/jjom.v7i1.29065

Abstract

A portfolio is a collection of financial assets in the stocks owned by a company or individual. An optimal portfolio is a selected portfolio that aligns with the investor's preferences, drawn from a set of efficient portfolios that have been formed. This research aims to create an optimal portfolio using the Multi-Objective Optimization method and the Nadir Compromise Programming (NCP) method. Additionally, Value at Risk (VaR) analysis is applied to determine the maximum risk an investor will bear for the portfolio. The data used consists of closing stock prices on the IDX30 Index from February 2022 to July 2023. The findings indicate that the optimization approach produces portfolios that align with investor risk-return preferences. The comparison of Multi-Objective Optimization and NCP methods provides insights into their effectiveness in portfolio selection. Furthermore, the VaR analysis helps investors understand potential risk levels, offering a comprehensive perspective on portfolio performance.
Co-Authors Agusyarif Rezka Nuha Armayani Arsal Djihad Wungguli Lailany Yahya Rahmi, Emli