Indonesian Journal of Applied Mathematics
Vol 3 No 1 (2023): Indonesian Journal of Applied Mathematics Vol. 3 No. 1 July Chapter

Simulasi Pergerakan Dana Tabarru Produk Asuransi Jiwa Unit Link Syariah

Indah Gumala Andirasdini (Institut Teknologi Sumatera)
Ratih Suryaningsih (Program Studi Matematika, Fakultas Matematika dan Ilmu Pengetahuan Alam, Institut Teknologi Bandung)



Article Info

Publish Date
30 Jul 2023

Abstract

Premi or known as Contributions in sharia insurance are part of tabbaru fund which is paid by participants. Tabarru’ has puposes to provide the "benevolent funds" with the sincere intention of helping each other among fellow "takaful" participants when one of them suffers a misfortune, such as death. These funds provided by insurance participants will be used to pay claims or insurance benefits by insurance companies. A sharia insurance company is considered doing well financially when tabbaru's funds are well managed to paid the insurance claim. In addition, the company must have sufficient funds to overcome the underwriting deficit in case it happen. This study aims to simulate the adequacy of a company's tabarru’ funds in each period, assuming there is no change in the number of participants during that period. The simulation results can conclude the adequacy of tabarru funds to pay participant claims. Sum of tabarru’ funds are calculated based on the sum of each participant's tabarru’ contribution, which is affected by each sharia-linked unit life insurance product and the participant's policy period. The tabarru’ fund sufficiency simulation is predicted using the IMA(2,1) time series model. The results of this study conclude that the average tabarru funds for each product will be used up in the following year with the criteria of the number of people making claims of not less than five participants. In this study, we found that the company can survive if the number of claims paid from the tabarru' fund with participants tabarru' fund contributions is balanced.

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Journal Info

Abbrev

indojam

Publisher

Subject

Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Physics

Description

Indonesian Journal of Applied Mathematics is a scientific publication media that publishes articles from the results of research or studies in the field of applied mathematics, focusing on Computational Mathematics, Optimization, Actuarial, Statistics, Numerical Modelling, Mathematical Physics, ...