PORTFOLIO OPTIMIZATION WITH SEMI-VARIANCE MODEL: AN APPLICATION ON BIST-100 INDEX

S. Kahraman, Kartal Somuncu
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Abstract

Aim: The aim of the study is to compare the performance of portfolios constructed based on variance and semi-variance using data obtained from the BIST-100 Index. Method: In the study, using the return data obtained from the adjusted weighted average price data of securities in the BIST-100, variance and covariance matrices were constracted to generate optimal portfolios, and the returns of two different portfolios were calculated and compared. Findings: The findings of the study indicate that, despite securities within the BIST-100 Index generally yielding negative returns during the 2018-2019 period, portfolios constructed based on semi-variance protected investors from the risk of negative returns. It was observed that as the levels of risk tolerance increased, the returns of portfolios also increased. Conclusions: It has been concluded that portfolios created according to semi-variance offer better protection for investors with low risk tolerance against the risk of unexpected negative returns.
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半方差模型的投资组合优化:对 BIST-100 指数的应用
目的:本研究旨在利用从 BIST-100 指数获得的数据,比较基于方差和半方差构建的投资组合的绩效。 研究方法在研究中,利用从 BIST-100 指数中证券的调整加权平均价格数据中获得的收益数据,对方差矩阵和协方差矩阵进行构造,以生成最优投资组合,并计算和比较两种不同投资组合的收益。 研究结果研究结果表明,尽管 BIST-100 指数内的证券在 2018-2019 年期间普遍产生负回报,但基于半方差构建的投资组合可保护投资者免受负回报的风险。据观察,随着风险承受能力水平的提高,投资组合的收益也在增加。 结论结论是,根据半方差构建的投资组合能更好地保护低风险承受能力的投资者免受意外负收益风险的影响。
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