De Moivre Law Application for the Construction of Mortality Tables Based on Indonesian Mortality Tables 2019
Abstract
The mortality table or often referred to as the life table is the main instrument used by actuaries in building premium and reserve structures for life insurance products, annuities, and pension programs. The mortality table provides a complete description of the mortality rate and life expectancy and shows the pattern of death of a group of people born at the same time based on the age they have reached and plays an important role as a basis for calculating the level of life expectancy in the future. This article aims to find out how to construct a mortality table with reference to the 2019 TMI for men with de Moivre's Law. In the results of the construction with de Moivre's law, the lowest value occurred at the age of 0 years, namely = 0.00900901, while the highest value occurred at the age of 110 years, namely = 1. Based on the construction of the value in the 2019 TMI for men using de Moivre's law, which is compared with the value in the 2019 TMI for men, the results tend to be the same.
Keywords
Full Text:
PDFReferences
Aulia, R, (2022). Penerapan Hukum de Moivre pada Penentuan Nilai Cadangan Premi Asuransi Jiwa Joint Life Menggunakan Metode New Jersey. E-Jurnal Matematika, 11(1): 16-22.
Carey, J. R., (2001). Insect biodemography. Annual review of entomology, 46(1), 79-110.
Futami, T., (1993). Matematika Asuransi Jiwa Bagian I. Penerjemah G. Herliyanto. Jakarta: Rekaprint Utama.
Handayani, U. M., (2016). Indeks Prediksi Risiko Kematian Jemaah Haji di Provinsi Jawa Timur. Jurnal Wiyata, 3(2): 133-138.
Miguel, A. A., (2009). Manual for SOA Exam MLC. New York: Axtec Publications.
Mitus, A., (2016). Analisis Perbandingan Survival Function dengan Hukum de Moivre dan Hukum Gompertz. E-journal FST UNM, 4(1): 21-34.
Pitacco E., (2014). Actuarial Models for Disability Insurance. USA: CRC Press LLC.
Prionggo, E. A., Pratama, M. N., Amandaputri, N. L., & Indrayatna, F. (2022). Estimation of Prospective Benefit Reserve Based on Gross Premium Valuation Method using Indonesian Mortality Table IV and
DOI: https://doi.org/10.46336/ijqrm.v3i4.357
Refbacks
- There are currently no refbacks.
Copyright (c) 2022 Elsa Anna Pratiwi, Fitri Indah Ningtyas, Ratna Nur Aini Kamilia, Zahwa Aqila Nabilia Aqila Nabilia, Agung Prabowo
This work is licensed under a Creative Commons Attribution 4.0 International License.
Published By:
IJQRM: Jalan Riung Ampuh No. 3, Riung Bandung, Kota Bandung 40295, Jawa Barat, Indonesia
IJQRM Indexed By:
Creation is distributed below Lisensi Creative Commons Atribusi 4.0 Internasional.