Bentuk Model Nonlinear untuk Portofolio Optimal dan Penyelesaiannya Menggunakan Metode Separable Programming

Uswati Hasnah - Mathematics Department Universitas Negeri Padang
Suherman Suherman - Mathematics Department Universitas Negeri Padang

Abstract


 

Abstract  – Investment is a business that is carried out in the form of placing funds in order to obtain profits in the future. When investing, an investor always expects maximum return with minimal risk. In other words, investors need to form an optimal portfolio. This is related to optimization theory. For this reason, an optimal nonlinear model portfolio will be formed, along with the solution, using the Separable Programming method. The steps taken are to form a nonlinear model for optimal portfolios, then apply the model to investment for stock in the Bank Rakyat Indonesia (BBRI) and Bank Central Asia (BBCA),  then complete the model using Separable Programming. Based on the results of the study, the optimal portfolio nonlinear model is obtained, namely the total expected return minus the portfolio risk. Completion of the model using Separable Programming results in a comparison of the proportion of funds that will be invested in BBRI and BBCA stocks

Full Text:

PDF

References


. Hillier, F. S., &iLieberman, G. J. (2001). Introduction to Operation

Research, 7th Edition. Singapore: McGraw-Hill, Inc

Fabozzi, F. J., &Markowitz, H. M. (2011). The Theoryand Practice of

Investment Management Second Edition Asset Allocation, Valuation,

Portofolio Construction, and Strategies. New Jersey: John Wiley &

Sons, Inc.

. Tandelilin, E. (2010). Portofolio dan Investasi Teori dan Aplikasi Edisi

Pertama. Yogyakarta: Penerbit Kanisus.

. Widjajanta, B., &Widyaningsih, A.(2009). Mengasah Kemampuan

Ekonomi untuk KelasX SMA/MA. Jakarta: Pusat Perbukuan

Departemen Pendidikan Nasional Tahun 2009.

. Winston, L. W. (2004). Operation Research : Application and

Algorithm 4th Edition. New York: Duxbury.

. https://finance.yahoo.com/




DOI: http://dx.doi.org/10.24036/unpjomath.v3i2.4683