Statistika
Vol. 26 No. 2 (2026): Statistika

Optimal Mean-Semivariance Portfolio within Single Asset Class: Sortino Ratio Evaluation

Britya Claudia (Universitas Tanjungpura Pontianak, Indonesia)
Evy Sulistianingsih (Universitas Tanjungpura Pontianak, Indonesia)
Neva Satyahadewi (Universitas Tanjungpura Pontianak, Indonesia)



Article Info

Publish Date
06 Nov 2026

Abstract

Abstract. Stock investment offers high return potential but also involves considerable risk. Portfolio formation helps manage risk through diversification. This study aims to construct an optimal stock portfolio and evaluate its performance based on downside risk using blue-chip banking stocks listed in the LQ45 Index during October 5, 2022 to February 5, 2025. The portfolio is constructed using the Mean Semivariance method, which focuses on downside risk without assuming a specific return distribution, and evaluated using the Sortino Ratio. The procedures include calculating realized and expected returns, semivariance and semicovariance, forming the semivariance–semicovariance matrix, determining optimal portfolio weights, and evaluating return, semivariance, semideviation, and performance. Semivariance measures downside risk in squared units, while semideviation is its square root and is expressed in the same unit as return. The results show optimal allocations of 75.65% in BBCA, 11.87% in BBRI, 7.59% in BBNI, and 4.89% in BMRI, with an expected return of 0.000101, portfolio semivariance of 0.000072, and a Sortino Ratio of 0.012. The positive Sortino Ratio indicates a positive excess return relative to the specified minimum acceptable return. However, without a benchmark or comparison portfolio, this value should be interpreted descriptively as a measure of risk-adjusted performance rather than evidence of outperformance.

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Journal Info

Abbrev

statistika

Publisher

Subject

Decision Sciences, Operations Research & Management Mathematics

Description

STATISTIKA published by Department of Statistics, Faculty of Mathematics and Natural Sciences, Bandung Islamic University as pouring media and discussion of scientific papers in the field of statistical science and its applications, both in the form of research results, discussion of theory, ...