Comparative Analysis of Mortality Rates and Whole Life Insurance Premiums Based on the Indonesian Mortality Table IV (TMI IV)
DOI:
https://doi.org/10.32493/sm.v8i1.59311Keywords:
Whole life insurance, Indonesian Mortality Table, mortality convergenceAbstract
This study aims to analyze the comparative mortality rates and whole life insurance premiums between males and females based on the Indonesian Mortality Table IV (TMI IV), as well as to examine the phenomenon of risk convergence at older ages and the implications of interest rates on premium sensitivity. This study employs a quantitative approach using actuarial simulation methods. The data used are secondary data from TMI IV published by the Indonesian Life Insurance Association (AAJI) for the study period of 2013–2017. The net annual premium is calculated using the commutation function (Pₓ = Mₓ / Nₓ), assuming a sum assured of IDR 100,000,000 and a technical interest rate of 6%. The results indicate that male mortality rates are higher than those of females across productive ages to early elderly stages, as reflected in the female survival curve being consistently above that of males. At age 80, out of an initial cohort of 100,000 individuals, 62,171 males (62.2%) remain, compared to 70,207 females (70.2%). The annual premiums for whole life insurance are higher for males than for females across all age groups, with premium differences ranging from 19.3% to 27.2%. The phenomenon of mortality convergence is observed through the narrowing premium gap between genders as age increases. Sensitivity analysis shows that premiums have an inverse relationship with interest rates, where a 1% decrease in the technical interest rate can increase premiums by approximately 8–12%. This study concludes that TMI IV effectively represents current mortality dynamics in Indonesia and serves as a crucial foundation for actuarial liability calculations, while age and interest rates significantly influence the determination of whole life insurance premiums.
References
[1] Kalfin, Sukono, S. Supian, and M. Mamat, “Insurance as an Alternative for Sustainable Economic Recovery after Natural Disasters: A Systematic Literature Review,” Apr. 01, 2022, MDPI. doi: 10.3390/su14074349.
[2] V. Zarulli and G. Salinari, “Gender differences in survival across the ages of life: an introduction,” Dec. 01, 2024, Springer Science and Business Media Deutschland GmbH. doi: 10.1186/s41118-024-00216-1.
[3] D. Atance, M. Mercè Claramunt, X. Varea, and J. M. Aburto, “Convergence and divergence in mortality: A global study from 1990 to 2030,” PLoS One, vol. 19, no. 1 JANUARY, Jan. 2024, doi: 10.1371/journal.pone.0295842.
[4] Hukmah, I. Annisa, W. Wahyuni, and N. Virani, “Perhitungan Premi Tunggal Bersih Asuransi Jiwa Seumur Hidup Dengan Variasi Usia Dan Tingkat Suku Bunga,” Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika, vol. 9 no 1, 2026, doi: 10.30605/proximal.v9i1.8250.
[5] G. A. Setiady and F. Kusnadi, “Indonesian National Mortality Rates using the Whittaker-Henderson Graduation Method,” JTAM (Jurnal Teori dan Aplikasi Matematika), vol. 8, no. 4, p. 1292, Oct. 2024, doi: 10.31764/jtam.v8i4.26316.
[6] F. E. Prasetyo and H.-S. Kwon, “Construction of Mortality Table for Credit Life Insurance using Whittaker-Henderson Graduation Method,” JTAM (Jurnal Teori dan Aplikasi Matematika), vol. 9, no. 4, p. 1195, Oct. 2025, doi: 10.31764/jtam.v9i4.31941.
[7] D. Hadi Nugroho, D. T. Al Basyir, M. Anam, N. Syabila, Y. E. Pratiwi, and U. Tanjungpura, “Pengaruh Fluktuasi Bi Rate Terhadap Perhitungan Premi Asuransi Seumur Hidup Dengan Pendekatan De-Moivre,” STATMAT (jurnal Statistika dan Matematika), vol. 7, no. 2, pp. 122–130, 2025, doi: 10.32493/sm.v7i2.49235.
[8] E. T. Pardede, R. B. C. Celianita, B. Kirani, N. B. Syahaza, G. R. Setyanto, and F. Indrayatna, “Perhitungan Cadangan Premi Asuransi Jiwa Seumur Hidup Menggunakan Metode Gross Premium Valuation,” Seminar Nasional Statistika Aktuaria III, 2024.
[9] M. E. Chanco, “Mortality Rates Estimation Using Whittaker-Henderson Graduation Technique,” 2016.
[10] S. A. Klugman, H. H. Panjer, and G. E. Willmot, Loss Models from Data to Decisions Second Edition, 2nd Edition. Hoboken, Nj: wiley, 2004.
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