Analisis Pembentukan Portofolio Optimal pada Indeks Saham LQ-45 dengan Metode Safety First Criterion

Disya Recita Amalia, Evy Sulistianingsih, Nurfitri Imro'ah

Abstract


An optimal portfolio of stocks is a combination of various stock investment assets chosen to provide the maximum level of return for a specified level of risk or provide a minimal level of risk for a specified level of return. Investors form an optimal stock portfolio with the aim of minimizing the risk of investment activities. This research discusses the formation of the optimal portfolio on LQ-45 index stocks with the Safety First Criterion method. There are three criteria in the Safety First method, namely Roy Safety First, Kataoka Safety First, and Telser Safety First. The three criteria of Safety First have the main similarity in focusing on investment risk and have different objectives. The optimal portfolio with Roy Safety First criteria aims to reduce the possibility of a high level of risk. Then, the optimal portfolio with Kataoka Safety First criteria, has the goal of maximizing returns, with a level of risk determined by investors. While the optimal portfolio of Telser Safety First criteria aims to achieve the highest expected return within a predetermined risk level. The data in this study are secondary data on the weekly closing price of the LQ-45 index for the period February 2021 to January 2023, which is 105 weeks. Based on the results of the analysis, the optimal portfolio formation for risk-loving investors is the Telser criteria portfolio. This portfolio consists of ADRO, BBNI, BMRI, ITMG, and MEDC stocks. Then, the optimal portfolio for risk-averse investors is the Roy criteria portfolio consisting of ADRO, BBNI, BMRI, MDKA, and MEDC stocks.

Keywords


The Optimal Portfolio; Safety First Criterion; LQ-45 Stocks

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References


I. Y. Triputra, Sufri, and S. Yurinanda, “Penerapan Metode Arima Box-Jenkins Untuk Memprediksi Harga Saham Di PT Aneka Tambang Tbk,” Prism. J. Pendidik. dan Ris. Mat., vol. 5, no. 2, pp. 257–273, 2023. doi: 10.33503/prismatika.v5i2.2727.

D. Sulistiowati, M. S. Syahrul, and I. D. Rianjaya, “Analisis Risiko Harga Jual Emas dan Investasi Saham Antam Menggunakan Expected Shortfall Pada Masa Pandemi Covid-19,” J. Mat. Stat. dan Komputasi, vol. 17, no. 3, pp. 428–437, 2021. doi: 10.20956/j.v17i3.12779.

F. Ferliana and Y. Ramdani, “Prediksi Harga Saham Perusahaan Operator Telekomunikasi Selular pada Masa Pandemi Menggunakan Metode Binomial,” J. Ris. Mat., vol. 1, no. 1, pp. 1–6, 2021. doi: 10.29313/jrm.v1i1.102.

E. Tandelilin, Dasar-dasar Manajemen Investasi. Yogyakarta: Universitas Terbuka, 2010.

K. Alim, A. Rahmawati, and B. Matsaany, “Pembentukan Portofolio Optimal Pada Saham JII Dengan Indeks Sharpe, Treynor, dan Jensen Periode 2018-2023,” J. Mat. Stat. dan Komputasi, vol. 19, no. 3, pp. 593–601, 2023. doi: 10.20956/j.v19i3.26354.

A. A. Alkodri, S. H. Saputro, R. F. B. Atmaja, A. D. Rachmansyah, and B. A. Winoto, “Peningkatan Literasi Digital Melalui Pelatihan Trading Saham Bagi Generasi Muda,” J. Abdimastek (Pengabdian Masy. Berbas. Teknol., vol. 3, no. 2, pp. 41–47, 2022. doi: 10.32736/abdimastek.v3i2.1532.

J. Amenda, C. C. Putri, and L. Sihotang, “Analisis Portofolio Sebagai Dasar Pengambilan Keputusan Investasi Saham yang Terdaftar pada Bursa Efek Indonesia,” J. Soc. Res., vol. 1, no. 6, pp. 532–542, 2022. doi: 10.55324/josr.v1i6.112.

G. Primajati, A. Z. Amrullah, and A. Ahmad, “Analisis Portofolio Investasi dengan Metode Multi Objektif,” J. Varian, vol. 3, no. 1, pp. 6–12, 2019. doi: 10.30812/varian.v3i1.476.

R. R. Indah and D. Devianto, “Alokasi Portofolio Optimal Dengan Metode Moore Pendrose,” J. Mat. UNAND, vol. 4, no. 2, pp. 65–72, 2019. doi: 10.25077/jmu.4.2.65-72.2015.

A. M. Abdal, I. Wynnie, A. U. Islami, and F. D. Safriadi, “Estimasi Return dan Risiko Portofolio Optimal Pada Indeks LQ-45 Periode 2020-2022 Menggunakan Capital Asset Pricing Model (CAPM),” J. Mat. Stat. dan Komputasi, vol. 19, no. 3, pp. 506–519, 2023. doi: 10.20956/j.v19i3.25005.

D. Rukmini and M. N. R. Pradana, “Analisis Perbandingan Tingkat Pengembalian Dan Risiko Antara Indeks Saham Syariah Dan Indeks Saham Konvensional Di Bursa Efek Indonesia,” J. Manaj. dan Keuang., vol. 8, no. 3, pp. 300–312, 2020. doi: 10.33059/jmk.v8i3.1677.

M. Huda et al., “Analisis Pembentukan Portofolio Optimal SahamSaham JII30 Dengan Model Indeks Tunggal Periode New-Normal,” J. Deriv. J. Mat. dan Pendidik. Mat., vol. 9, no. 1, pp. 32–46, 2022. doi: 10.31316/j.derivat.v9i1.2758.

H. Hakmi, K. Dharmawan, and R. S. Widiastuti, “Penerapan Metode Safety First Criterion Pada Seleksi Saham Untuk Pembentukan Portofolio Optimal,” E-Jurnal Mat., vol. 12, no. 2, pp. 100–105, 2023. doi: 10.24843/MTK.2023.v12.i02.p406.

A. Gafur, “Pembentukan Portofolio Optimal Investasi Menggunakan Model Markowitz Dan Model Indeks Tunggal Pada Aset Bebas Risiko Dan Aset Berisiko,” J. Manag. Innov. Entrep., vol. 1, no. 2, pp. 228–245, 2024. doi: 10.59407/jmie.v1i2.338.

S. Fratama and E. Kurniati, “Penerapan Model CAPM dan Arbitrage Pricing Theory dalam Menghitung Return Indeks Saham IDX30,” J. Ris. Mat., vol. 3, no. 1, pp. 37–44, 2023. doi: 10.29313/jrm.v3i1.1736.

Y. Ding and B. Zhang, “Optimal Portfolio of Safety-First Models,”

J. Stat. Plan. Inference, vol. 139, no. 9, pp. 2952–2962, 2009. doi: 10.1016/j.jspi.2009.01.018.

M. C. Chiu, H. Y. Wong, and D. Li, “Roy’s Safety-First Portfolio Principle in Financial Risk Management of Disastrous Events,” Risk Anal. An Int. J., vol. 32, no. 11, pp. 1856–1872, 2012. doi: 10.1111/j.1539-6924.2011.01751.x.

J. C. Francis and D. Kim, Modern Portofolio Theory. Canada: John Wiley & Sons, Inc., Hoboken, New Jersey, 2013.

Y. Prasetyo, “Perbandingan Risiko Dan Return Investasi Pada Indeks Lq 45 Dengan Indeks Jakarta Islamic Index (JII),” el-Jizya J. Ekon. Islam, vol. 6, no. 2, pp. 311–334, 2018. doi: 10.24090/ej.v6i2.2043.

B. Sumargo, Teknik sampling. UNJ press, 2020.




DOI: https://doi.org/10.37905/jjom.v6i2.24438



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