Abstract
Premium reserve is a number of fund that need to be raised by insurance company in preparation for the payment of claims. This study aims to get the formula of premium reserve as well as the value of the premium reserve for joint life insurance by using retrospective calculation method. Joint life insurance participants in this study are limited to 2 people. Calculations in this study is using Indonesian Mortality Table (TMI) 2011, joint life mortality tables, commutation tables, value of annuities, value of single premiums and constant annual premium and using constant interest rates of 5%. The results showed that by using age of the participant insurance joint life of x = 50 and y = 45 years and the premium payment period of t = 10 years, we obtained that the value of premium reserve from the end of the first year until the end of the 11th year has increased every year, while the value of premium reserves from the end of the 12th year and so on until a lifetime has decreased every year.
Highlights
Premium reserve is a number of fund that need to be raised by insurance company in preparation for the payment of claims
This study aims to get the formula of premium reserve as well as the value of the premium reserve for joint life insurance by using retrospective calculation method
The results showed that by using age of the participant insurance joint life of x = 50 and y = 45 years and the premium payment period of t = 10 years, we obtained that the value of premium reserve from the end of the first year until the end of the 11th year has increased every year, while the value of premium reserves from the end of the 12th year and so on until a lifetime has decreased every year
Summary
Asuransi jiwa dilihat dari jumlah tertanggungnya dapat dibagi menjadi dua yaitu asuransi jiwa tunggal dan asuransi jiwa gabungan. Pendapatan yang diperoleh perusahaan asuransi dari premi beserta bunganya biasanya akan jauh lebih besar dari jumlah uang pertanggungan yang harus dibayarkan oleh perusahaan asuransi kepada pihak tertanggung. Nilai sekarang anuitas awal dari anuitas hidup berjangka joint life apabila x dan y tetap hidup, dalam (Futami [4]) dirumuskan sebagai berikut:. Premi tunggal pure endowment joint life untuk peserta yang berusia x tahun dan y tahun, dengan jangka waktu tertanggung t tahun dan besar uang pertanggungan adalah Rp. 1, dalam (Futami [4]) dirumuskan sebagai berikut:. Menurut (Matvejevs & Matvejevs [5]) nilai tunai dari pendapatan premi dan nilai tunai dari benefit yang dibayarkan oleh pihak penanggung dapat dirumuskan sebagai berikut: Nilai tunai dari pendapatan premi tahunan konstan pada joint life dapat dinyatakan sebagai Sehingga besarnya premi tahunan yang harus dibayarkan oleh peserta asuransi adalah̅̅|
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