Implementasi Metode New Jersey dalam Perhitungan Cadangan Premi dengan Suku Bunga Stokastik dan Konstan

Yuni Sulistyawati; Mujiati Dwi Kartikasari

doi:10.37905/jjom.v6i2.24668

Implementasi Metode New Jersey dalam Perhitungan Cadangan Premi dengan Suku Bunga Stokastik dan Konstan

Yuni Sulistyawati, Mujiati Dwi Kartikasari

Abstract

Premium reserve allocation represents an obligation undertaken by insurance companies to set aside funds for future claims payment to policyholders. Some insurance companies have faced operational challenges, leading to their closure, primarily due to inaccurate premium reserve computations. This research aims to calculate premium reserve in lifelong insurance using the New Jersey method, an improvement upon the Illionis method. The New Jersey method initiates the premium reserve at the beginning or end of the first year at zero dollars. The majority of premium reserve calculations still rely on constant interest rates. However, in reality, this approach inadequately reflects future fluctuations in interest rates, which are crucial for long-term life insurance products. Therefore, this study implements a more realistic approach using stochastic elements, using the Vasicek stochastic interest rate model to determine premium reserve values. From this research, it was found that there was quite a significant difference between the New Jersey method premium reserve value and the two interest rates. The calculation graph shows that the premium reserve value using the Vasicek model of stochastic interest rates tends to be lower than when using constant interest rates. This can be caused by the results of non-constan variations in interest rates in the Vasicek model which ultimately results in fluctuations in interest rates which wffect the calculation of premium reserve.

Keywords

Premium Reserve; Whole Life Insurance; New Jersey; Vasicek

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References

H. Darmawi, Manajemen Risiko. Bumi Aksara, 2022.

Otoritas Jasa Keuangan, “Surat Edaran Otoritas Jasa Keuangan Nomor 27/SEOJK.05/2017 Tentang Pedoman Pembentukan Cadangan Teknis Bagi Perusahaan Asuransi Dan Perusahaan Reasuransi,” pp. 1–13, 2017.

D. T. Subagiyo dan F. M. Salviana, Buku Hukum Asuransi. 2016. [Daring]. Tersedia pada: https://erepository.uwks.ac.id/5191/1/Buku Hukum Asuransi.pdf.

A. J. Fikri, A. A. Muhartini, O. Sharoni, T. Febrianti, dan I. Mahuda, “Perbandingan Perhitungan Premi Asuransi Jiwa Berjangka, Seumur Hidup, dan Dwiguna pada Kasus Laki-Laki dan Perempuan,” J. Bayesian J. Ilm. Stat. dan Ekon., vol. 2, no. 1, pp. 31–38, 2022, doi: 10.46306/bay.v2i1.26.

I. G. A. G. Dwipayana, I. N. Widana, dan K. Sari, “Menentukan Formula Cadangan Premi Asuransi Jiwa Last Survivor Menggunakan Metode New Jersey,” J. Mat., vol. 8, no. 4, pp. 264–268, 2019, doi: 10.24843/MTK.2019.v08.i04.p263.

S. Nurrohmah dan O. Rohaeni, “Aplikasi Metode New Jersey Untuk Menentukan Cadangan Premi Asuransi Jiwa Berjangka,” J. Ris. Mat., vol. 2, no. 1, pp. 59–66, 2022, doi: 10.29313/jrm.v2i1.1017.

Destriani, N. Satyahadewi, dan M. N. Mara, “Penentuan Nilai Cadangan Prospektif pada Asuransi Jiwa Seumur Hidup Menggunakan Metode New Jersey,” Bul. Ilm. Mat.Stat dan Ter., vol. 3, no. 1, pp. 7–12, 2014, doi: 10.26418/bbimst.v3i01.4462.

J. L. Tewo, I. N. Widana, dan T. B. Oka, “Penentuan Cadangan Premi dengan Metode New Jersey pada Asuransi Joint Life,” E-Jurnal Mat., vol. 7, no. 3, pp. 226, 2018, doi: 10.24843/MTK.2018.v07.i03.p207.

Zulfadri, Arnellis, dan M. Subhan, “Modifikasi Cadangan Premi Prospektif pada Asuransi Jiwa Seumur Hidup Joint Life Menggunakan Metode New Jersey,” UNP J. Math., vol. 02, no. 4, pp. 67–72, 2019, doi: 10.24036/unpjomath.v4i4.7927.

B. D. Ananda, F. Nur, dan F. Sudding, “Estimation of Premium Reserve for Last Survivor Endowment Insurance Using The New Jersey Method,” J. Act. Fin. Risk. Manag., vol. 2, no. 1, pp. 33–44, 2023, doi: 10.33021/jafrm.v2i1.4564.

S. Manullang, “Application Of Vasicek’s Rate Interest Model In Term Insurance Premiums Calculation,” Gener. KAMPUS, vol. 5, no. 2, 2012.

A. H. S. Dewi, “Estimasi Parameter Model Suku Bunga Vasicek Menggunakan Generalized Method Of Moments,” 2019.

Y. Zhang, Y. Niu, dan T. Wu, “Stochastic Interest Rates Under Rational Inattention,” North Am. J. Econ. Financ., vol. 54, 2020, p. 101258, 2020, doi: 10.1016/j.najef.2020.101258.

A. Rakhman dan A. R. Efendie, Matematika Aktuaria, Ed. 1. Tangerang Selatan: Universitas Terbuka, 2015.

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

I. Tsabita, “Perhitungan Cadangan Premi Bulanan pada Asuransi Jiwa Seumur Hidup Last Survivor Menggunakan Metode Prospektif New Jersey.” Universitas Islam Negeri Maulana Malik Ibrahim, 2022.

Syifaurrohmah, “Perhitungan Nilai Cadangan Premi pada Asuransi Jiwa Seumur Hidup dengan Metode New Jersey,” 2021.

BPS, “BI Rate, 2005-2024,” Badan Pusat Statistik, 2023. [Online] Available: https://www.bps.go.id/id/statistics-table/2/Mzc5IzI=/bi-rate.html.

DOI: https://doi.org/10.37905/jjom.v6i2.24668

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