IDX30 Portfolio Construction using K-Means Clustering with MAD Risk Optimization and Sortino Ratio Evaluation
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M. Dahlquist and M. Ibert, “Equity Return Expectations and Portfolios: Evidence from Large Asset Managers,” Rev. Financ. Stud., vol. 37, no. 6, pp. 1887–1928, May 2024, doi: 10.1093/rfs/hhae008.
M. Su and C. Wang, “Policy Announcement, Investor Attention, and Stock Volatility: Evidence From the New Energy Vehicle Industry,” Front. Psychol., vol. 13, pp. 1–11, 2022, doi: 10.3389/fpsyg.2022.838588.
M. Rachwalski and Q. Wen, “Idiosyncratic Risk Innovations and the Idiosyncratic Risk-Return Relation,” Rev. Asset Pricing Stud., vol. 6, no. 2, pp. 303–328, Dec. 2016, doi: 10.1093/rapstu/raw002.
N. Li, C. Wei, and L. Zhang, “Risk factors in the Indonesian stock market,” Pacific-Basin Finance Journal, vol. 82, p. 102175, Dec. 2023, doi: 10.1016/j.pacfin.2023.102175.
F. Cesarone, R. Giacometti, M. L. Martino, and F. Tardella, “A return-diversification approach to portfolio selection,” Computational Management Science, vol. 22, no. 2, pp. 1–31, 2025, doi: 10.1007/s10287-025-00538-1.
D. Jayeola, Z. Ismail, and S. Firdaus Sufahani, “Effects of diversification of assets in optimizing risk of portfolio,” Malaysian Journal of Fundamental and Applied Sciences, vol. 13, no. 4, pp. 584–587, 2017, doi: 10.11113/mjfas.v0n0.567.
F. Hua, R. Tang, and X. Leng, “Environmental Uncertainty and Idiosyncratic Risk: The Dual Role of Diversification Strategy,” Journal of Advanced Computational Intelligence and Intelligent Informatics, vol. 27, no. 5, pp. 866–875, 2023, doi: 10.20965/jaciii.2023.p0866.
R. Huang, D. Kambouroudis, and D. G. McMillan, “Is portfolio diversification still effective: evidence spanning three crises from the perspective of U.S. investors,” Journal of Asset Management, vol. 26, no. 2, pp. 115–135, 2025, doi: 10.1057/s41260-025-00398-z.
T. Agarwal, H. Quelle, and C. Ryan, “Principal Component Analysis for Clustering Stock Portfolios,” Arizona Journal of Interdisciplinary Studies |, vol. 7, pp. 64–75, 2021.
J. Korzeniewski, “Efficient Stock Portfolio Construction by Means of Clustering,” Acta Universitatis Lodziensis. Folia Oeconomica, vol. 1, no. 333, pp. 85–92, 2018, doi: 10.18778/0208-6018.333.06.
M. I. Boloș, Ștefan Rusu, M. Leordeanu, C. D. Sabău-Popa, D. C. Perțicaș, and M. I. Crișan, “K-Means Clustering for Portfolio Optimization: Symmetry in Risk–Return Tradeoff, Liquidity, Profitability, and Solvency,” Symmetry (Basel)., vol. 17, no. 6, pp. 1–29, 2025, doi: 10.3390/sym17060847.
Z. Hosseini-Nodeh, R. Khanjani-Shiraz, and P. M. Pardalos, “Portfolio optimization using robust mean absolute deviation model: Wasserstein metric approach,” Financ. Res. Lett., vol. 54, p. 103735, Jun. 2023, doi: 10.1016/j.frl.2023.103735.
W. S. Lam, W. H. Lam, and S. H. Jaaman, “Portfolio optimization with a mean–absolute deviation–entropy multi‐objective model,” Entropy, vol. 23, no. 10, pp. 1–14, 2021, doi: 10.3390/e23101266.
C. Spanaus and J. Wenzelburger, “Aggregation of downside risk and portfolio selection,” J. Math. Econ., vol. 119, p. 103138, Aug. 2025, doi: 10.1016/j.jmateco.2025.103138.
J. Sen and A. Dutta, “Design and Analysis of Optimized Portfolios for Selected Sectors of the Indian Stock Market,” 2022 International Conference on Decision Aid Sciences and Applications, DASA 2022, pp. 567–573, 2022, doi: 10.1109/DASA54658.2022.9765289.
A. N. Pratama, N. Satyahadewi, and E. Sulistianingsih, “Analysis of Optimal Portfolio Formation on Idx30 Indexed Stock With the Mean Absolute Deviation Method,” BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 18, no. 3, pp. 1753–1764, 2024, doi: 10.30598/barekengvol18iss3pp1753-1764.
Y. Pratama, E. Sulistianingsih, N. N. Debataraja, and N. Imro’ah, “K-Means Clustering dan Mean Variance Efficient Portfolio dalam Portofolio Saham,” JAMBURA JOURNAL OF PROBABILITY AND STATISTICS, vol. 5, no. 1, pp. 24–30, 2024.
A. Hilmy and L. V. Shafira, “Idx Bumn20 Performance Measurement With Sharpe, Treynor, and Sortino,” JEM17: Jurnal Ekonomi Manajemen, vol. 7, no. 1, pp. 119–128, 2022, doi: 10.30996/jem17.v7i1.6510.
M. J. Brennan and A. P. Taylor, “Expected returns and risk in the stock market,” J. Empir. Finance, vol. 72, no. December 2020, pp. 276–300, 2023, doi: 10.1016/j.jempfin.2023.03.002.
Y. Jiang, J. Olmo, and M. Atwi, “Dynamic robust portfolio selection under market distress,” North American Journal of Economics and Finance, vol. 69, no. PB, p. 102037, 2024, doi: 10.1016/j.najef.2023.102037.
J. Ginting and S. Staenly, “Constructing Efficient Frontiers in Cryptocurrency Market Using Long-Run GARCH Volatility,” ZERO: Jurnal Sains, Matematika dan Terapan, vol. 9, no. 2, p. 546, Oct. 2025, doi: 10.30829/zero.v9i2.25928.
S. Kozak, S. Nagel, and S. Santosh, “Shrinking the cross-section,” J. financ. econ., vol. 135, no. 2, pp. 271–292, Feb. 2020, doi: 10.1016/j.jfineco.2019.06.008.
Y. Zhao, B. Shi, F. Song, and L. Zhou, “Ambiguity — Risk — Return : Evidence from the Stock Market in China,” American Journal of Applied Mathematics, vol. 10, no. 4, pp. 118–124, 2022, doi: 10.11648/j.ajam.20221004.11.
Sanghavi and S. M. Benedict, “Unlocking Investment Insights : Exploring Standard Deviation and Coefficient of Variation in Stock Analysis,” International Journal of Creative Research Thoughts (IJCRT), vol. 12, no. 4, pp. 311–318, 2024.
D. J. Dhandio, E. Sulistianingsih, and N. Satyahadewi, “Integration of Davies-Bouldin Index Validation and Mean-Variance Efficient Portfolio in K-Means++ Clustering for Optimization of the Lq45 Stock Portfolio,” Barekeng, vol. 19, no. 4, pp. 2609–2620, 2025, doi: 10.30598/barekengvol19iss4pp2609-2620.
W. Sudiyono, “Risk and Return Management of Sharia Stocks in Jakarta Islamic Index for the Period of 2009 – 2019 Using Markowitz Portofolio Management,” International Journal of Economics, Business and Accounting Research (IJEBAR), vol. 5, no. 1, pp. 63–79, 2021, doi: 10.29040/ijebar.v5i1.1699.
X. Zhang, “Portfolio theory in investment decision making: Evidence from NVIDIA and Costco,” Highlights in Business, Economics and Management, vol. 39, pp. 186–194, 2024, doi: 10.54097/9htb3441.
C. Ye, W. Li, Y. Ye, Z. He, and W. Zheng, “Construction of Valuation System with Chinese Characteristics Based on Entropy Weight Method and K-means,” Financial Engineering and Risk Management, vol. 6, no. 11, 2023, doi: 10.23977/ferm.2023.061119.
T. Millington and M. Niranjan, “Construction of minimum spanning trees from financial returns using rank correlation,” Physica A: Statistical Mechanics and its Applications, vol. 566, p. 125605, Mar. 2021, doi: 10.1016/j.physa.2020.125605.
A. R. Kusumawardani, “Volatilitas Saham Pt Pertamina Geothermal Energy Tbk (Pgeo) Dalam Konteks Dinamika Inflasi Tahun 2023-2024,” Jurnal Ekonomi, Bisnis dan Pendidikan, vol. 4, no. 10, p. 5, 2024, doi: 10.17977/um066v4i102024p5.
R. Juwita, F. Rahayu, and M. A. Sari, “Comparison Analysis of ‘ Safe Investment ’ ( Gold , Mutual Funds , and Bonds ),” JIKA: Jurnal Ilmu Keuangan dan Perbankan, vol. 12, no. 1, pp. 147–156, 2022.
E. F. El-Hashash and R. H. A. Shiekh, “A Comparison of the Pearson, Spearman Rank and Kendall Tau Correlation Coefficients Using Quantitative Variables,” Asian Journal of Probability and Statistics, vol. 20, no. 3, pp. 36–48, 2022, doi: 10.9734/ajpas/2022/v20i3425.
M. Amelia, A. Faqih, and A. R. Rinaldi, “Penerapan Metode K-Means Clustering Dalam Pemetaan Kemiskinan Kabupaten/Kota Di Indonesia Untuk Perencanaan Kebijakan Yang Tepat,” Jurnal Informatika dan Teknik Elektro Terapan, vol. 13, no. 2, pp. 437–444, 2025, doi: 10.23960/jitet.v13i2.6231.
C. Yuan and H. Yang, “Research on K-Value Selection Method of K-Means Clustering Algorithm,” J : Multidisciplinary Scientific Journal, vol. 2, no. 2, pp. 226–235, 2019, doi: 10.3390/j2020016.
S. Özarpacl, B. Klllç, O. C. Bayrak, A. Özdemir, Y. Yilmaz, and M. Floyd, “Comparative analysis of the optimum cluster number determination algorithms in clustering GPS velocities,” Geophys. J. Int., vol. 232, no. 1, pp. 70–80, 2023, doi: 10.1093/gji/ggac326.
A. M. Harsha and V. V. S. Kesava Rao, “A Comprehensive Analysis of Clustering Methods for Portfolio Optimization,” International Journal of Intelligent Systems and Applications in Engineering IJISAE, vol. 2024, no. 10s, pp. 27–36, 2023.
F. Ali, R. Basheer, M. Kawas, and B. Alkhatib, “Towards Detecting Influential Members and Critical Topics from Dark Web Forums: A Data Mining Approach,” Journal of Information and Organizational Sciences, vol. 47, no. 1, pp. 1–20, 2023, doi: 10.31341/jios.47.1.1.
J. F. Bello, E. S. Taiwo, and I. Adinya, “Modified Models for Constrained Mean Absolute Deviation Portfolio Optimization,” International Journal of Mathematical Sciences and Optimization: Theory and Applications, vol. 10, no. 1, pp. 12–24, 2024.
E. Sulistianingsih et al., “an Examination of the Green Stock Portfolio in Connection With the 2024 Indonesian Republic Presidential General Election,” Barekeng, vol. 19, no. 4, pp. 2543–2556, 2025, doi: 10.30598/barekengvol19iss4pp2543-2556.
Y. Kroll, A. Marchioni, and M. Ben-Horin, “Sortino(γ): A Modified Sortino Ratio With Adjusted Threshold,” Journal of Accounting and Finance, vol. 23, no. 6, pp. 13–22, 2024, doi: 10.33423/jaf.v23i6.6699.
D. K. Malhotra, T. Mooney, R. Poteau, and P. Russel, “Assessing the Performance and Risk-Adjusted Returns of Financial Mutual Funds,” International Journal of Financial Studies, vol. 11, no. 4, p. 136, Nov. 2023, doi: 10.3390/ijfs11040136.
B. A. Nugroho and R. Robiyanto, “Peran Cryptocurrency dalam Meningkatkan Kinerja Portofolio Indeks High Dividend dan Indeks SRI-KEHATI,” AFRE Accounting and Financial Review, vol. 6, no. 1, pp. 1–14, 2023.
DOI: http://dx.doi.org/10.30829/zero.v10i2.28613
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