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Submitted
Dec 7, 2025
Accepted
Jun 29, 2026
Published
Jun 29, 2026
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Abstract

Premium reserve management is an important aspect of health insurance because inaccurate reserve calculations may affect an insurer's ability to meet future claim obligations. This study aims to calculate and compare annual premium reserves for individual health insurance under two types of insurance products, namely term insurance and whole life insurance, using the Prospective Method. The analysis was conducted through a simulation involving a family of three consisting of a father aged 40 years, a mother aged 36 years, and a son aged 9 years. The calculations were based on the CSO 1941 mortality table, an annual interest rate of 2.5%, and health insurance benefits covering Rp 200.000 per day for hospital room charges, Rp 75.000 per day for physician visits with a maximum of 180 days, and Rp 4.000.000 per treatment period for medical expenses. The results indicate that the annually renewable premium increases with the insured's age, with the total premium rising from Rp 704.060 in the first year to Rp 1.196.260 in the tenth year. The reserve values obtained using the Prospective Method show different patterns for the two insurance products. Premium reserves for term insurance gradually decrease over the policy period and reach zero at the end of the contract, whereas premium reserves for whole life insurance increase continuously from year to year. These findings demonstrate the different reserve characteristics of term and whole life insurance and provide useful actuarial information for insurers in planning and managing long-term reserve funds.

Keywords

Health inscurance Individual insurance Premium reserves Prospective reserves

Article Details

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How to Cite
Tarigan, R. E., Pardede, P. Y., & Manik, T. (2026). CALCULATION OF ANNUAL PREMIUM RESERVES FOR INDIVIDUAL HEALTH INSURANCE USING THE PROSPECTIVE METHOD. Parameter: Journal of Statistics, 6(1), 1-11. https://doi.org/10.22487/27765660.2026.v6.i1.17940

References

  1. Akbar, H. N., Yuda, M. A., & Riski, R. (2025). Perbandingan Metode Prospektif dan Retrospektif pada Cadangan Premi Asuransi Jiwa Berjangka Dengan Variasi Bunga Hilmi. JERUMI: Journal of Education Religion Humanities and Multidiciplinary, 3(2), 601–609.
  2. Ariani, W., Satyahadewi, N., & Perdana, H. (2020). Penentuan Cadangan Premi Pada Asuransi Jiwa Dwiguna Joint Life dengan Metode Premium Sufficiency. In Buletin Ilmiah Math. Stat dan Terapannya (Bimaster) (Vol. 09, Issue 1).
  3. Douven, R., Heijden, R. van der, McGuire, T., & Schut, F. T. (2018). Premium Levels and Demand Response in Health Insurance : Relative Thingking and Zero-Price Effects. NBER WORKING PAPER SERIES PREMIUM. http://www.nber.org/papers/w23846
  4. Fatimah, F. S., Ferezagia, D. V., & Darmiza, W. (2024). The HE Examination of The Mathematical Calculation On Premium Reserve Modifications For Endowment-Life Insurance Products. Jurnal Administrasi Bisnis Terapan, 6(2), 151–166. https://doi.org/10.7454/jabt.v6i2.1108
  5. Hetharie, M. I. P., Sinay, L. J., & Noya van Delsen, M. S. (2018). Menentukan Cadangan Premi Asuransi Kesehatan Individu Perawatan Rumah Sakit Mengguankan Metode Retrospektif. BAREKENG: JURNAL ILMU MATEMATIKA DAN TERAPAN, 12(1), 33. https://doi.org/10.30598/vol12iss1pp33-42ar362
  6. Jannah, M., Rianjaya, I. D., Binsasi, E., & Lewaherilla, N. (2022). Analisis Biaya Premi Asuransi Kesehatan Untuk Kasus Rawat Jalan Berdasarkan Tingkatan Usia. MAp (Mathematics and Applications) Journal, 4(1), 40–49. https://doi.org/10.15548/map.v4i1.4195
  7. Khoa, B. T., & Huynh, T. T. (2023). The value premium and uncertainty: An approach by support vector regression algorithm. Cogent Economics and Finance, 11(1). https://doi.org/10.1080/23322039.2023.2191459
  8. Kurnianingtyas, D., Santosa, B., & Siswanto, N. (2021). Reforming premium amount in the Indonesian National Health Insurance System program using system dynamics. Cogent Engineering, 8(1). https://doi.org/10.1080/23311916.2021.1938368
  9. Novianti, N., Satyahadewi, N., & Perdana, H. (2019). Perhitungan Nilai Cadangan Premi Menggunakan Metode Premium Difference Formula dan PAID-UP Formula (Vol. 08, Issue 4).
  10. Pardede, E. T., Celianita, R. B. C., Kirani, B., Syahaza, N. B., Setyanto, G. R., & Indrayatna, F. (2024). Perhitungan Cadangan Premi Asuransi Jiwa Seumur Hidup Menggunakan Metode Gross Premium Valuation dengan Pendekatan Tabel Mortalitas Indonesia IV dan Hukum Mortalitas Gompertz. In Prosiding Seminar Nasional Statistika Aktuaria, 3, 185–196. https://doi.org/10.1234/snsa.v3i.398
  11. Raiyan, M., & Nathanael, A. (2024). Analysis of Premium Reserves Value in Endowment Life Insurance Using Fackler Method. 5(1), 32–37. http://iorajournal.org/indx.php/orics/index
  12. Reisnanda, A., & Subartini, B. (2024). Comparison of the Zillmer Method with the Adjusted Ohio Method in Calculation of Premium Reserve Value in Dwi-Purpose Life Insurance. International Journal of Quantitative Research and Modeling, 5(1), 49–54.
  13. Rosita, S., & S, S. R. (2024). Penentuan Cadangan Premi Asuransi Kesehatan Menggunakan Modifikasi Cadangan Zilmer Silvia . Jurnal AKTUARIA, 3(1).
  14. Clarissa, R., P., Hikmah, Y., & Hikmah, I. R. (2024). Perhitungan Premi Lanjutan Pada Asuransi Kesehatan Kumpulan Menggunakan Metode Experience Rating Di Pt Abc Calculation of Renewal Premiums for Collective Health Insurance Using the Experience Rating Method At Pt Abc. MAP Journal, 38–47.