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Optimasi Portofolio Berdasarkan Model Mean-Variance dengan menggunakan Lagrange Multiplier pada saham IDX30

Indonesian Journal of Applied Mathematics · Vol. 4 No. 2 (2025)

DOI
10.35472/indojam.v4i2.1983
ISSN
2774-2016, 2774-2067
Published
2025-01-31
Publisher
Institut Teknologi Sumatra
License
creativecommons.org/licenses/by-nc/4.0

Abstract

This study aims to optimize the portofolio of stocks included in the IDX30 index using the Mean-Variance model developed by Markowitz. The Lagrange Multiplier method is used in this study to determine the optimal fund allocation by minimizing risk and optimizing expected return. The data used is the daily closing price of stocks from 15 companies listed in the IDX30 index over the last five years (2019-2024). The results show that the Mean-Variance and Lagrange Multiplier methods are effective in identifying the optimal portofolio that can minimize investment risk while maximizing returns

Collaboration network of the authors

20 authors · 33 co-authorship links

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Co-authorOrganisationJoint articles
Jova Edri SaputraAffiliation unknown2
Ainol YaqinAffiliation unknown2
Gusrian PutraAffiliation unknown1
Meysi SupmawatiAffiliation unknown1
Kurnia Novita SariAffiliation unknown1
Sapto Wahyu IndratnoAffiliation unknown1
Andi FitriawatiAffiliation unknown1
Muawanah MuawanahAffiliation unknown1
Budhi Agung PrasetyoAffiliation unknown1
Muhammad Zainuddin LubisAffiliation unknown1
Yenci Brika EnkekesAffiliation unknown1
Utriweni MukhaiyarAffiliation unknown1
Dwi RiantiAffiliation unknown1
Achmad Suryadi NasutionAffiliation unknown1
Erika AprilyaniAffiliation unknown1
Faculty of Science, Institut Teknologi Sumatera, South Lampung, Indonesia Department of MathematicsAffiliation unknown1
Faculty of Science, Institut Teknologi dan Sains NU Lampung, Indonesia Department of PhysicsAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

This record comes from Crossref (what the publisher deposited), because the journal's own OAI-PMH endpoint could not be harvested.

Metadata source: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2774-2016/works, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Metadata as oai_dc, converted from Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>Optimasi Portofolio Berdasarkan Model Mean-Variance dengan menggunakan Lagrange Multiplier pada saham IDX30</dc:title><dc:creator>Abdallah, Muhammad Naif</dc:creator><dc:creator>Febrianti, Werry</dc:creator><dc:creator>Mardianto, Lutfi</dc:creator><dc:description>&lt;jats:p&gt;This study aims to optimize the portofolio of stocks included in the IDX30 index using the Mean-Variance model developed by Markowitz. The Lagrange Multiplier method is used in this study to determine the optimal fund allocation by minimizing risk and optimizing expected return. The data used is the daily closing price of stocks from 15 companies listed in the IDX30 index over the last five years (2019-2024). The results show that the Mean-Variance and Lagrange Multiplier methods are effective in identifying the optimal portofolio that can minimize investment risk while maximizing returns&lt;/jats:p&gt;</dc:description><dc:publisher>Institut Teknologi Sumatra</dc:publisher><dc:date>2025-01-31</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.35472/indojam.v4i2.1983</dc:identifier><dc:identifier>10.35472/indojam.v4i2.1983</dc:identifier><dc:source>Indonesian Journal of Applied Mathematics; Vol 4 No 2 (2025); 38</dc:source><dc:source>2774-2016</dc:source><dc:source>2774-2067</dc:source><dc:relation>https://journal.itera.ac.id/index.php/indojam/article/download/1983/637</dc:relation><dc:rights>http://creativecommons.org/licenses/by-nc/4.0</dc:rights></oai_dc:dc>