Comparison Analysis of Optimal Portfolio Formation on Jakarta Islamic Index 70 (JII70) (Markowitz Model and Single Index Model Approach)

Authors

  • Indah Lestari Anwar
  • Kasman Damang
  • Erlina Pakki

DOI:

https://doi.org/10.14738/assrj.95.12379

Keywords:

JII70, Markowitz Model, Single Index Model, and Optimal Portfolio.

Abstract

This study analyzes the optimal portfolio formation of Islamic stocks on Jakarta Islamic Index 70 (JII70) with the Markowitz and Single Index models. The analysis then compares the proportion of funds, return, and portfolio risk. The subsequent analysis compares the two models' optimal and non-optimal returns and risks. This study uses data on stock prices, dividends, BI-7 Day Reverse Repo Rate, and Composite Stock Price Index for May 2018-September 2021. The research sample is 37 JII70 stock issuers obtained by the purposive sampling technique. The Markowitz model produces 12 combinations, a certain expected return of 0.66% and the best portfolio risk of 3.22%. In comparison, the Single Index Model produces nine stock combinations, the best-expected return of 2.28%, and a certain portfolio risk of 7.53%. Analysis with the Markowitz Model shows no significant difference between stock returns included in the optimal and non-optimal portfolio. However, there is a significant difference between stock risk. In addition, in the Single Index Model, it was found that there was a significant difference between stock returns, including optimal and non-optimal portfolios. However, there was no significant difference between stock risk. The study results can be an essential reference for JII70 investors and stakeholders before and during the Covid-19 pandemic in Indonesia.

References

Albuquerque, R. A., Koskinen, Y. J., Yang, S., & Zhang, C. (2020). Love in the Time of COVID-19: The Resiliency of Environmental and Social Stocks. ECGI Working Paper Series in Finance, May. http://ssrn.com/abstract_id=3583611

Alfaro, L., Chari, A., Greenland, A. N., & Schott, P. K. (2020). AGGREGATE AND FIRM-LEVEL STOCK RETURNS DURING PANDEMICS, IN REAL TIME. In NBER WORKING PAPER SERIES (26950).

Amaroh, S., & Nasichah, C. (2021). Risk-Return Analysis on Optimum Portfolio Selection of Islamic Stocks. Equilibrium: Journal of Islamic Economics, 9(1), 65–82. https://doi.org/10.21043/equilibrium.v9i1.9433

Antaranews.com. (2021). OJK hopes that the shari’a capital market will play a role in supporting the G-20 agenda. https://pon.antaranews.com/berita/2516961/ojk-harap-pasar-modal-syariah-berperan-supportagenda-g-20

Azhar, Z. (2016). Analysis of LQ45 Stocks to Form an Optimal Portfolio Using the Single Index Model. JIAFE (Jurnal Ilmiah Akuntansi Fakultas Ekonomi) (Scientific Journal of Accounting, Faculty of Economics), 2(1), 77–84. https://doi.org/https://doi.org/10.34204/jiafe.v2i1.527

Bank Indonesia. (n.d.). BI 7-day (Reverse) Repo Rate. https://www.bi.go.id/id/statistik/indikator/bi-7day-rr.aspx

Bekhet, H. A., & Matar, A. (2012). Risk-Adjusted Performance: A two-model Approach Application in Amman Stock Exchange. International Journal of Business and Social Science, 3(7), 34–45. www.ijbssnet.com

Financial Services Authority. (2021a). Shari’a Shares. https://www.ojk.go.id/id/kanal/syariah/data-danstatistik/saham-syariah/Pages/Statistik-Saham-Syariah---September-2021.aspx

Financial Services Authority. (2021b). Capital Market Monthly Statistics - September 2021. https://www.ojk.go.id/id/kanal/pasar-modal/data-dan-statistik/statistik-pasar-modal/Pages/Statistik-Monan-Pasar-Modal- --September-2021.aspx 239

Financial Services Authority. (2021c). Shari’a Stock Statistics - September 2021. https://www.ojk.go.id/id/kanal/syariah/data-dan-statistik/saham-syariah/Pages/Statistik-Saham-Syariah---September-2021.aspx

Hart, A. (2001). Mann-Whitney test is not just a test of medians: differences in spread can be important. The BMJ, 391–393. https://doi.org/10.1136/bmj.323.7309.391

Hartono, J. (2014). Portfolio Theory and Practice with Excel. Salemba Four.

Hartono, J. (2017). Portfolio Theory and Investment Analysis (11th ed.). BPFE.

Indonesia Stock exchange. (nd-a). Stock Index. https://www.idx.co.id/data-pasar/data-saham/index-saham/Indonesia Stock Exchange. (nd-b). Shari’a Stock Index. idx.co.id. https://www.google.com/search?q=indeks+saham+syariah+idx&sxsrf=APq-WBtV66Ilzwm2k51MTsYeEBRXKMMKVA%3A1650445364921&ei=NMxfYrzyN_KdmgeaorWQDQ&ved=0ahUKEwi83MmNpKL3AhXyjuYKHRpRDdIQ4dUDCA0&uact=5&oq=indeks+saham+syariah+idx&gs_lp=Egdnd3Mtd2l6uAED-AEBMgUQABiiB Investing.com. (nd). Historical Data of Jakarta Islamic 70. Retrieved February 1, 2022, from https://id.investing.com/indices/jakarta-islamic-70-historical-data

Kompas.com. (2020). Shari’a Stock Index Performance is Lower than JCI, Why? https://money.kompas.com/read/2020/11/17/050700226/kinerja-index-saham-syariah-more-low-dari-ihsgwhy-?page=all

Markowitz, H. (1952). Portfolio Selection. The Journal of Finance, 7(1), 77–91.

Mulya, Y., & Herdiyana. (2018). Optimal Portfolio Construction using Single Index Model : A Comparative Study of Largest Market Capitalization and Most Active Trading Volume Stocks. International Journal of Engineering & Technology, 7, 553–558.

Pratama, N. (2019). Optimization Of Stock Portfolio Based On The Markowitz Model And The Single Index Model (Case Study Of Business Index 27 In The Indonesia Stock Exchange). Universitas Tadulako Palu.

Putra, I. K. A. A. S., & Dana, I. M. (2020). Study of Optimal Portfolio Performance Comparison: Single Index Model and Markowitz Model on LQ45 Stocks in Indonesia Stock Exchange. 4(12), 237–244.

Ramelli, S., & Wagner, A. F. (2020). Feverish stock price reactions to COVID-19. Review of Corporate Finance Studies, 9(3), 622–655. https://doi.org/http://dx.doi.org/10.2139/ssrn.3550274

Sari, D. P., & Suryawati, R. F. (2020). Optimal Portfolio Analysis of Jakarta Islamic Index (JII) Shari’a Stocks for 2015-2017. Journal of Management and Organizations, 11(1), 8–21. https://doi.org/10.29244/jmo.v11i1.30492

Setyantho, K. S., & Wibowo, S. H. (2019). Comparison of Optimal Portfolio Performance Between Single Index Models and Markowitz Models (Case Study of Daily Return Implementation of OJK Rules Regarding Investments of State Values for Non-Bank Financial Institutions 2016-2017). Business and Entrepreneurial Review, 19(1), 43–66. https://doi.org/10.25105/ber.v19i1.5349

Singh, S., & Gautam, J. (2014). The Single Index Model & the Construction of Optimal Portfolio: A Case of Banks Listed on NSE India. SSRN Electronic Journal, 4(2), 110–115. https://doi.org/https://doi.org/10.22495/rgcv4i2c1art3

Tambunan, D. (2020). Stock Investment during the COVID-19 Pandemic. Widya Cipta: Journal of Secretariat and Management, 4(2), 117–123. https://doi.org/10.31294/widyacipta.v4i2.8564

Tandelilin, E. (2010). Portfolio and Investment (Theory and Application) (1st ed.). Kanisius.

Tjahjawati, S. S., & Amalia, S. (2021). Markowitz Model And Single Index In The Analysis Of The Composition Of The LQ45 Stock Optimal Portfolio. STATMAT (Journal of Statistics and Mathematics), 3(2), 122–129. https://doi.org/http://dx.doi.org/10.32493/sm.v3i2.11209

Varghese, J., & Joseph, A. (2018). A Comparative Study on Markowtz Mean-Variance Model and Sharpe’s Single Index Model in the Context of Portfolio Investment. International Refereed Journal of Research, 3(2), 36–41. Yahoo! finance. (n.d.). Historical Data. https://finance.yahoo.com/ 240

Yuliani, F., & Achsani, N. A. (2017). Analysis of Risk and Return Based Portfolio Formation (Case Study of Stocks in the Jakarta Islamic Index from June 2011 - May 2016). Al-Muzara’ah, 5(2), 134–145. https://doi.org/10.29244/jam.5.2.134-145

Yuwono, T., & Ramdhani, D. (2017). Comparison analysis of portfolio using Markowitz Model and Single Index Model: Case in Jakarta Islamic Index. Journal of Multidisciplinary Academic, 01(01), 25–31.

Downloads

Published

2022-05-25

How to Cite

Anwar, I. L. ., Damang, K. ., & Pakki, E. . (2022). Comparison Analysis of Optimal Portfolio Formation on Jakarta Islamic Index 70 (JII70) (Markowitz Model and Single Index Model Approach). Advances in Social Sciences Research Journal, 9(5), 224–241. https://doi.org/10.14738/assrj.95.12379