Comparison of Single Net Premium of Unit Linked Endowment Life Insurance using Annual Ratchet Method and Black Scholes Model

Leona Idilla; Neva Satyahadewi; Shantika Martha

doi:10.30598/pijmathvol4iss2pp73-86

Leona Idilla Statistics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Tanjungpura, Indonesia
Neva Satyahadewi Statistics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Tanjungpura, Indonesia https://orcid.org/0000-0001-8103-1797
Shantika Martha Statistics Study Program, Faculty of Mathematics and Natural Sciences, Universitas Tanjungpura, Indonesia https://orcid.org/0000-0001-6124-8534

DOI: https://doi.org/10.30598/pijmathvol4iss2pp73-86

Keywords: Endowment Life Insurance; Stock; Unit Link; Annual Ratchet; Black Scholes

Abstract

Annual Ratchet is an indexing method. Black Scholes is a model used to determine option. The purpose of this study is to compare the results of single net premium of unit-linked endowment life insurance using the Annual Ratchet method and the Black Scholes Model. The data used in this study are data on the daily closing share price of PT Telkom Indonesia (Persero) Tbk for the period December 20, 2021 to December 20, 2022, Bank Indonesia interest rates and the 2019 Mortality Table. In this study, a comparison is made between the Annual Ratchet method and the Black-Scholes model to calculate the net single premium of unit-linked endowment life insurance for a 30-year-old male insured. The results show that the premium calculated using the Annual Ratchet method is greater than the premium from the Black-Scholes model, which is Rp 8,725,000. This is due to the additional protection feature in the Annual Ratchet method, which provides a minimum guaranteed investment value, thus increasing the premium value to be paid.

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