CONSTRUCTION OF MORTALITY TABLES USING UNIFORMLY DISTRIBUTION OF DEATH AND CONSTANT FORCE BASED APPROACHES IN TMI 2019

Nurul Tri Narlitasari, Riri Rioke, Wulan Setyani, Anisa Nurbayti, Agung Prabowo
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Abstract

Insurance aims to protect a person from financial losses that may occur due to an unexpected event. On the determination of insurance premiums used mortality tables. However, on the mortality table contains only a round age. While an event cannot be ascertained when it occurs, it could be at the beginning of the year, in the middle, or at the end of the year. Therefore, to determine insurance premiums at an age that is not round, a mortality table that contains fractional age is needed. In this study, the mortality table used is the 2019 Indonesian Mortality Table (IMT) issued by the Indonesian Actuary Association (IAA). The methods used for determining fractional age mortality tables are the Uniform Distribution of Death (UDD) approach and the Constant Force of Mortality (CF) approach. In this study, the results of the 2019 TMI calculation were obtained for fractional ages with male and female genders using two approaches, namely the UDD and CF approaches. In both sexes, the result was obtained that the chance of death calculated using the UDD approach was smaller compared to the CF approach. The resulting graph shows that the 2019 TMI death chances with the UDD and CF approaches did not show significant differences for both men and women, so both approaches can be used to calculate the chance of death at the fractional age of TMI 2019.
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使用死亡均匀分布和基于恒力的方法构建2019年tmi死亡率表
保险的目的是保护人们免受意外事件可能造成的经济损失。关于保险费的确定使用了死亡率表。然而,死亡率表中只包含一个整数年龄。虽然无法确定某一事件何时发生,但它可能发生在年初、年中或年底。因此,为了确定非整数年龄的保险费,需要一个包含分数年龄的死亡率表。在本研究中,使用的死亡率表是印度尼西亚精算师协会(IAA)发布的2019年印度尼西亚死亡率表(IMT)。用于确定分数年龄死亡率表的方法是死亡均匀分布法(UDD)和死亡率恒力法(CF)。本研究采用UDD法和CF法两种方法对男女分数年龄进行2019年TMI计算。在两性中,结果表明使用UDD方法计算的死亡机会比CF方法要小。结果图表显示,使用UDD和CF方法计算的2019年TMI死亡机会在男性和女性之间没有显着差异,因此这两种方法都可以用于计算TMI 2019年分数年龄的死亡机会。
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