Indonesian Journal of Applied Mathematics
Vol. 6 No. 2 (2026): Indonesian Journal of Applied Mathematics Vol. 6 No. 2 October Chapter

Perhitungan Cadangan Premi Asuransi Jiwa Berjangka Menggunakan Metode Premium Sufficiency Dan Metode Full Preliminary Term Dengan Tingkat Suku Bunga Hull White

Cindy Faradilla (Department of Actuarial Science, Faculty of Science, Institut Teknologi Sumatera, Lampung, Indonesia)
Tiara Yulita (Institut Teknologi Sumatera)
Amalia Listiani (Department of Actuarial Science, Faculty of Science, Institut Teknologi Sumatera, Lampung, Indonesia)



Article Info

Publish Date
31 Oct 2026

Abstract

In daily life, humans engage in various activities that can pose risks, such as death, accidents, and financial risks. Therefore, humans need to prepare themselves to face unexpected risks to avoid significant losses. Insurance is an effort that can be done to obtain protection from risks. Insurance companies, as the insurer, are required to set aside premium reserves to ensure the availability of funds to pay the insured's benefits in the event of a future claim. In this study, the Premium Sufficiency method and the Full Preliminary Term method were used to calculate premium reserves. Reserve calculations take place over a fairly long period, so it is necessary to consider interest rate fluctuations that occur due to economic activity. To model these fluctuations, the Hull-White interest rate model can be used. The purpose of this study is to determine the comparative analysis of the premium reserve values ​​​​from the two methods calculated using the Hull-White interest rate model. Based on the results obtained, the premium reserve value using the Premium Sufficiency method is greater than the Full Preliminary Term method. This is because the Full Preliminary Term method assumes that the first year's reserve is zero because it is used to cover costs.

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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, ...