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Perhitungan Cadangan Premi Asuransi Jiwa Berjangka dengan Menggunakan Metode Zillmer dan Fackler

Indonesian Journal of Applied Mathematics · Vol. 4 No. 2 (2024)

DOI
10.35472/indojam.v4i2.1944
ISSN
2774-2016, 2774-2067
Terbit
2024-10-31
Penerbit
Institut Teknologi Sumatra
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

Human life is never free from risk. Along with the development of the era, humans began to realize the importance of protecting themselves in the event of a risk, including the risk of death. To overcome this, many individuals transfer the risk by registering themselves or their families with life insurance. The life insurance that is focused on is term life insurance, which is a form of protection with a certain period of time that has been set. In order to run its operations properly, insurance companies need to prepare premium reserves with accurate calculations. These calculations can be done through two actuarial methods, namely prospective and retrospective methods. This study uses the Zillmer method (prospective) and the Fackler method (retrospective) for calculating premium reserves. The purpose of this study was to determine the analysis of the results of calculating the premium reserve value from the two methods. The premium reserve values ​​calculated using the Zillmer and Fackler methods were different. At an interest rate of 6.25%, the Fackler method produces a higher premium reserve compared to the Zillmer method. This difference is because the Zillmer method includes other costs such as acquisition costs, administration, and agent commissions in calculating premium reserves. In contrast, the Fackler method does not take these costs into account in its calculations.

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  • Sumatera Institute of Technology
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Rekan penulisOrganisasiArtikel bersama
Amalia ListianiSumatera Institute of Technology2
Kania Fatin AfifahSumatera Institute of Technology1
Florencia BrigittaSumatera Institute of Technology1
Triyana MuliawatiSumatera Institute of Technology1
Danni Gathot HarbowoSumatera Institute of Technology1
Mika Alvionita SSumatera Institute of Technology1
Ardika SatriaSumatera Institute of Technology1
Cindy FaradillaSumatera Institute of Technology1
Chintya Carissa ManurungSumatera Institute of Technology1

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Sumber metadata: Crossref API (cadangan, berdasarkan ISSN) https://api.crossref.org/journals/2774-2016/works, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata sebagai oai_dc, dikonversi dari Crossref
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/"><dc:title>Perhitungan Cadangan Premi Asuransi Jiwa Berjangka dengan Menggunakan Metode Zillmer dan Fackler</dc:title><dc:creator>Sitorus, Kristiani</dc:creator><dc:creator>Yulita, Tiara</dc:creator><dc:creator>Lestari, Fuji</dc:creator><dc:description>&lt;jats:p&gt;Human life is never free from risk. Along with the development of the era, humans began to realize the importance of protecting themselves in the event of a risk, including the risk of death. To overcome this, many individuals transfer the risk by registering themselves or their families with life insurance. The life insurance that is focused on is term life insurance, which is a form of protection with a certain period of time that has been set. In order to run its operations properly, insurance companies need to prepare premium reserves with accurate calculations. These calculations can be done through two actuarial methods, namely prospective and retrospective methods. This study uses the Zillmer method (prospective) and the Fackler method (retrospective) for calculating premium reserves. The purpose of this study was to determine the analysis of the results of calculating the premium reserve value from the two methods. The premium reserve values ​​calculated using the Zillmer and Fackler methods were different. At an interest rate of 6.25%, the Fackler method produces a higher premium reserve compared to the Zillmer method. This difference is because the Zillmer method includes other costs such as acquisition costs, administration, and agent commissions in calculating premium reserves. In contrast, the Fackler method does not take these costs into account in its calculations.&lt;/jats:p&gt;</dc:description><dc:publisher>Institut Teknologi Sumatra</dc:publisher><dc:date>2024-10-31</dc:date><dc:type>info:eu-repo/semantics/article</dc:type><dc:format>application/pdf</dc:format><dc:identifier>https://doi.org/10.35472/indojam.v4i2.1944</dc:identifier><dc:identifier>10.35472/indojam.v4i2.1944</dc:identifier><dc:source>Indonesian Journal of Applied Mathematics; Vol 4 No 2 (2024); 1</dc:source><dc:source>2774-2016</dc:source><dc:source>2774-2067</dc:source><dc:relation>https://journal.itera.ac.id/index.php/indojam/article/download/1944/598</dc:relation><dc:rights>http://creativecommons.org/licenses/by-nc/4.0</dc:rights></oai_dc:dc>