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Journal : International Journal of Mathematics, Statistics, and Computing

Table Installments Finance Sharia of Motor Vehicle Using Proportional, Annuity, and Effective Rate Method Cahyandari, Rini; Hasanah, Faridatul
International Journal of Mathematics, Statistics, and Computing Vol. 1 No. 4 (2023): International Journal of Mathematics, Statistics, and Computing
Publisher : Communication In Research And Publications

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijmsc.v1i4.40

Abstract

One of the products offered by sharia banks is financing. In this financing, Islamic banks usually take profits in the form of margin or it can also be done by profit sharing. The base profit rate model was introduced to determine margins in Islamic bank financing. The margin generated using the base profit rate model is only in the form of a percentage. Therefore, follow-up was carried out by forming a sharia financing installment table to make it easier to see profits in nominal form. The methods used in making this installment table are the proportional method, annuity method and effective rate method. From research conducted in the case of sharia motor vehicle financing with a term of 1 year, a margin of 66.61785% was obtained and the profit based on the calculation results of the proportional method, annuity method and effective rate method was respectively IDR. 9,992,677.20,- , Rp. 5,945,097.50,-, and Rp. 5,412,700.31. So it can be concluded that the effective rate method takes the smallest profits, then followed by the annuity method and finally the proportional method which takes profits that tend to be larger.
Multiobjective Optimization of Stock Portofolio Cahyandari, Rini; Kamelia, Susan; Rusyn, Volodymyr
International Journal of Mathematics, Statistics, and Computing Vol. 2 No. 1 (2024): International Journal of Mathematics, Statistics, and Computing
Publisher : Communication In Research And Publications

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.46336/ijmsc.v2i1.65

Abstract

Diversification is a method used to reduce risks by allocating several financial, industrial, and other instruments. Investors might need to use this method to allocate their companies’ funding as efficient as they should be. Mean variance portfolio is a diversification theory designated for investors who are aware of potential risks. On the other hand, multi-objective portfolio optimization is another theory that suits for investors who are more unaware, or choose to neglect potential business risks. Multi-objective optimization can boost source of income and minimize the risks while utilizing k weighting coefficient as risk aversion index. This research aims to form an optimal portfolio from each perspective of selected investors using multi-objective optimization, as well as to analyze the benefits and risks that the investors will have. Samples used in this research are sharia stocks actively involved in Jakarta Islamic Index (JII) and non-sharia stocks which are actively involved in LQ-45 from January 2013 to January 2018.