Analysis of Value at Risk of Optimal Portfolio Forming Using Single Index Model on LQ45 Stock Index in 2018 and 2019
DOI:
https://doi.org/10.33021/firm.v9i2.5556Keywords:
Stock, Investment, Optimal Portfolio, Single Index Model, Value at Risk.Abstract
In contemporary society, investment has emerged as a prevalent activity, encompassing the buying and selling of assets to yield profits. A fundamental concept in investment is the portfolio, which comprises two or more stocks. By diversifying their investments across a portfolio, investors can reduce the risks associated with holding a single stock. This research aims to analyse and construct an optimal portfolio for companies listed on the LQ45 index during the period from 2018 to 2019, utilizing the Single Index Model. An optimal portfolio is characterized by lower risk and higher returns. Additionally, this study calculates the Value at Risk (VaR) for each company that meets the portfolio criteria, employing a historical method. The findings reveal that the optimal stock portfolio consists of BBCA, BRPT, ICBP, TPIA, MNCN, and EXCL, achieving a return rate of 2.95% and a risk measure of 0.0099. The allocation of the portfolio is as follows: BBCA (38.03%), BRPT (26.43%), ICBP (17.25%), TPIA (13.62%), MNCN (3.31%), and EXCL (1.37%). At the 95% and 99% confidence levels, the portfolio exhibits a superior VaR compared to individual assets, with values of IDR 4,213,118.10 and IDR 5,560,936.56, respectively, based on an initial investment of IDR 100,000,000. The VaR provides critical insights for investors in determining the appropriate proportions and combinations of shares within their portfolios.References
Adnyana, I. M. (2020). Manajemen Investasi dan Portofolio. Lembaga Penerbitas Universitas Nasional.
Aslam, A. P., Nisa, N. A., Wilda, & Putra, M. A. F. A. (2022). Analysis of the Single Index Model in the Banking Sector in LQ 45 Period 2020-2022. Jurnal Bisnis, Manajemen Dan Informatika, 19(2), 131-142. https://doi.org/10.26487/jnmi.v19i2.23475
Bodie, Z., Kane, A., & Marcus, A. (2022). Essentials of Investments. McGraw Hill.
Elton, E., Brown, S., Gruber, M., & Goetzmann, W. (2014). Modern Portfolio Theory and Investment Analysis. In John Wiley & Sons: Vol. 9th Editio.
Fama, E. F., & French, K. R. (2015). A five-factor asset pricing model. Journal of Financial Economics, 116(1), 1-22. https://doi.org/10.1016/j.jfineco.2014.10.010
Firdaus, I. (2018). Analisis Pembentukan Portofolio Optimal Menggunakan Model Indeks Tunggal. Jurnal Ekonomi, 23(2), 203-225. https://doi.org/10.24912/je.v23i2.369
Flint, E., Seymour, A., & Chikurunhe, F. (2021). Defining and measuring portfolio diversification. South African Actuarial Journal, 20(1), 17-48. https://doi.org/10.4314/saaj.v20i1.2
Hatono, J. (2017). Teori Portofolio dan Analisis Investasi, Edisi Kesebelas. Yogyakarta: BPFE.
Hull, J. C. (2018). Management and Financial Institution (Fifth). John & Wiley.
Irwan, I., Abdy, M., Salsabila, N. K., & Ahmar, A. S. (2023). Analysis of Stock Portfolio Optimization in the Telecommunications Sector Using the Single Index Model. ARRUS Journal of Mathematics and Applied Science, 3(1), 1-10. https://doi.org/10.35877/mathscience1734
Jorion, P. (2007). Value at Risk : The New Benchmark for Managing Financial Risk. McGraw Hill.
Malkiel, B. G. (2019). A Random Walk Wall Street The Time-Tested Strategy for Successful Investing. W.W. Norton & Company.
Nanovest. (2024). Portfolio Rebalancing. https://blog.nanovest.io/kamus/portfolio-rebalancing-6451/
Nuryanto, T. S., Prahutama, A., & Hoyyi, A. (2018). Historical Simulation Untuk Menghitung Value at Risk pada Portofolio Optimal Berdasarkan Single Index Model Menggunakan GUI Matlab (Studi Kasus: Kelompok Saham JII Periode Juni - November 2017). Jurnal Gaussian, 7(4), 408-418. https://doi.org/10.14710/j.gauss.v7i4.28869
Suad, H. (2001). Dasar-Dasar Teori Portofolio dan Analisis Sekuritas. AMK YPKN.
Tania, A. L. (2019). Aplikasi Single Index Model dalam Pembentukan Portofolio Optimal Saham LQ45 pada Bursa Efek Indonesia. FINANSIA: Jurnal Akuntansi Dan Perbankan Syariah, 2(01), 47. https://doi.org/10.32332/finansia.v2i01.1502
