CD Skripsi
Cadangan Premium Sufficiency Asuransi Jiwa Dwiguna Menggunakan Distribusi Lomax-Rayleigh
The presence of the insurance industry at this time is very important. One type of insurance is life insurance. Life insurance is the payment of money given from the death of insured to the heirs according to the provisions of the polis. Insu- rance companies need to calculate reserves to prepare funds when participants request a claim. Premium sufficiency reserves are reserves that covers initial costs and maintenance costs after the insurance period is calculated. This fi- nal project aims to determine premium sufficiency reserve of endowment life insurance for two insurance participants who are x years old by using Lomax- Rayleigh distribution. The parameters in the Lomax-Rayleigh distribution we- re estimated using maximum likelihood estimation and then determined by a Newton-Raphson iteration method. The calculation of reserves using the pre- mium sufficiency uses a gross premium which can provide a clear indication of the total cost required and the amount of reserves that the insurance company must provide. The solution of problem is obtained by determining the initial life annuity, single premium, and annual premium, then the premium suffici- ency reserve formula is obtained based on the distribution of Lomax-Rayleigh. The results of endowment life insurance premium sufficiency reserves using the 2019 Indonesian Mortality Table are smaller than the endowment life insurance premium sufficiency reserves using the Lomax-Rayleigh distribution.
Keywords: Premium sufficiency reserve, endowment life insurance, Lomax- Rayleigh distribution, maximum likelihood
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