MODIFICATION OF PROSPECTIVE LIFE INSURANCE RESERVE PROSPECTIVE CALCULATIONS USING THE ZILLMER METHOD

Authors

  • Dea Setianingsih Departement of Actuarial, Tamansiswa Padang University, Indonesia
  • Silvia Rosita Departement of Actuarial, Tamansiswa Padang University, Indonesia
  • Siska Resti S Departement of Actuarial, Tamansiswa Padang University, Indonesia

DOI:

https://doi.org/10.31258/jomso.v1i2.10

Keywords:

whole life insurance , premium reserve modification, Zillmer method

Abstract

The calculation of the premium reserve can be modified to avoid losses in the early years because in the first year there are many expenses that must be borne by the company so that it has difficulties in calculating the amount of the premium reserve. Not a few insurers have suffered losses due to inaccurate calculations in the calculation of premium reserves. This study aims to modify the calculation of prospective whole life insurance premium reserves using the Zillmer method. Modification of premium reserves is calculated using the 2019 Indonesian Mortality Table with an interest rate of 3.50%. Based on the results of data analysis on the value of prospective premium reserves and the modified value of premium reserves using the Zillmer method, the results are the same, namely for male age (x) = 48 years, the prospective reserve value is IDR 213,253.05 and the modified premium reserve value using the Zillmer method is IDR 213,252.93 then for female age (y) = 69 years the prospective reserve value is IDR 8,698,949.01 and for the modified premium reserve value using the Zillmer method is IDR 8,698,948.89.

References

Achmad, F., 2017., Penentuan Cadangan Premi Asuransi Jiwa Dwiguna Berjangka Dengan Metode Cadangan Prospektif Zillmer, Skripsi, UIN Alauddin.

Arikunto, S., 2019., Prosedur Penelitian. Rinneka Cipta, Jakarta.

Bowers, N. L., Gerber, H. U., Hickman, J. C., Jones, D. A., & Nesbitt, C. J., 1997., Actuarial Mathematics, Society Of Actuaries.

Darnawi, H., 2000., Manajemen Asuransi. Bumi Aksara, Jakarta.

Dewi, L., Satyahadewi, N., & Sulistianingsih, E., Penentuan Cadangan Premi Pada Asuransi Jiwa Dwi Guna Dengan Metode Zillmer, 2013, Volume: 02 pp 155–162.

Djaali., 2020., Metode Penelitian Kuantitatif, Bumi Aksara, Jakarta.

Futami, T., 1993., Matematika Auransi Jiwa, Bagian I, Tokyo: Incorporated Foundation Oriental Life Insurance Cultural Development Center.

Hasan, M. I., 2002., Pokok-Pokok Materi Metodologi Penelitian Dan Aplikasinya. Ghalia Indonesia, Bogor.

Hikmah, Y., & Khuzaimah, H. H., Perhitungan Cadangan Premi Asuransi Jiwa Dengan Metode Gross Premium Valuation ( Gpv ), 2019, Volume: 1 pp 61–69.

Himmah, F., 2015, Penentuan Cadangan Premi Asuransi Jiwa Berjangka Dengan Metode Zillmer, Skripsi, Universitas Brawijaya.

Iriana, N., Purnamasari, I., & Nasution, Y. N., Penentuan Cadangan Premi Asuransi Jiwa Seumur Hidup Menggunakan Metode Zillmer, 2020, Volume: 16 pp 219–225.

Lestari, D. A., Satyahadewi, N., & Perdana, H., Penentuan Cadangan Premi Asuransi Jiwa Dwiguna Berjangka Dengan Metode Illinois, 2019, Volume: 8 pp 627–632.

Nurfikriani, A., 2019, Penentuan Cadangan Premi Asuransi Jiwa Seumur Hidup Joint Life Dengan Metode Fackler, Skripsi, UIN Walisongo.

Reskiana., 2018, Penentuan Cadangan Premi Asuransi Jiwa Tahunan Dengan Metode Illinois, Skripsi, UIN Alauddin.

Rohaeni, O., Modifikasi Cadangan Premi Asuransi Jiwa Dengan Menggunakan Metode Zillmer, 2007, Volume: 7 pp 41–44.

Sari, K., Menentukan Formula Cadangan Premi Asuransi Jiwa Last Survivor Menggunakan Metode New Jersey, 2019, Volume:8 pp 264–268.

Sembiring, R. K., 1986., Asuransi I,Universitas Terbuka, Jakarta.

Subhan, M., 2019., Aktuaria, Universitas Negeri Padang, Padang.

Sugiyono., 2018., Metode Penelitian Kuantitatif, Kualitatif, Dan R&D., Alfabeta, Bandung.

Downloads

Published

2024-01-31