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Cadangan Premium Sufficiency Asuransi Jiwa Dwiguna Last Survivor Menggunakan Distribusi Exponentiated Gumbel

Life insurance is a protection effort provided by the insurer against risks to the insured’s life that will arise from an unpredictable event. Insurance com- panies are required to prepare reserves to fulfill the sum insured when a claim occurs. Premium sufficiency reserves are modified reserves whose calculations use gross premiums that contain administrative maintenance costs. This rese- arch explains the calculation of premium sufficiency reserves for endowment life insurance with last survivor status for two insurance participants aged x years and y years using the exponentiated Gumbel distribution. The parameters of the exponentiated Gumbel distribution are estimated using the maximum like- lihood method and then determined by a Newton-Raphson iteration method. The solution of the problem is obtained by determining the initial life annuity term, single premium, and annual premium so as to obtain the reserve formula of the premium sufficiency of the last survivor status endowment life insurance using the exponentiated Gumbel distribution. The results of the calculation of reserves premium sufficiency of endowment life insurance last survivor status using the exponentiated Gumbel distribution is slightly smaller than premium sufficiency reserve for endowment life insurance using the Indonesian Mortality Table 2019.

Keywords: Life insurance, premium sufficiency reserve, last survivor sta- tus, exponentiated Gumbel distribution, maximum likelihood method, Newton- Raphson iteration method

Ketersediaan
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Perpustakaan Universitas Riau 2003112319
2003112319
Tersedia
Informasi Detail
Judul Seri
-
No. Panggil
2003112319
Penerbit
Pekanbaru : Universitas Riau – Fakultas Matematika Dan Ilmu Pengetahuan Alam – Matematika.,
Deskripsi Fisik
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Bahasa
Indonesia
ISBN/ISSN
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Klasifikasi
2003112319
Tipe Isi
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Tipe Media
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Tipe Pembawa
-
Edisi
-
Subjek
FMIPA
Info Detail Spesifik
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Pernyataan Tanggungjawab
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