Iva Ranti Putri
Tanri Abeng University

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Optimal Portfolio of Single Index Models on Jakarta Islamic Index Stocks 2022-2024 Iva Ranti Putri; Annisa Annisa
CAKRAWALA : Management Science Journal Vol. 3 No. 2 (2026): Cakrawala Management Science Journal - September
Publisher : Yayasan Edukasi Cakrawala Nusantara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.63541/x26g6f63

Abstract

Indonesia's sharia capital market has grown rapidly, yet many prospective investors still perceive stock investment as high-risk, complex, or inconsistent with Islamic principles, even though the Jakarta Islamic Index (JII) already provides a sharia-screened benchmark. This study determines the expected return, risk, and fund proportion of an optimal sharia-compliant portfolio formed with the Single Index Model (SIM) using JII constituents for January 2022 to December 2024. Employing a quantitative descriptive approach with purposive sampling, 16 stocks consistently listed in the JII throughout the period were analyzed through Excess Return to Beta (ERB) and Cut-Off Rate (Ci) calculations. Six stocks satisfied the ERB > Ci criterion (UNVR, CPIN, PGAS, BRPT, ADRO, and UNTR), but four produced negative fund-proportion weights (Wi), implying short selling, which is prohibited under DSN-MUI Fatwa No. 80/2011. The final sharia-compliant portfolio therefore consisted of only UNVR (67%) and CPIN (33%), yielding an expected return of -1% and a risk of 1%. These results, driven largely by bearish price movements in both constituents during the observation period, indicate that SIM outcomes are highly sensitive to prevailing market conditions and to sharia screening constraints, and are therefore more relevant as an academic illustration of portfolio construction than as a direct investment recommendation.