Analisis Besar Iuran Normal Metode Frozen Initial Liability dan Metode Entry Age Normal Menggunakan Tingkat Suku Bunga Cox-Ingersoll-Ross (CIR)

Dwi Mahrani
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Abstract

One form of social security program is a pension funding program. A pension plan is a program designed to provide benefits to employees when they retire. Based on the type of membership, the pension program is divided into 2 types, namely individuals and groups. There are differences in the methods used for the two types of participation, namely the Normal Entry Age (EAN) method for individual pension programs and the Frozen Initial Liability (FIL) method for group pension programs. Each period, both individual and group pension program participants are required to pay normal contributions. Things that influence the amount of normal contributions for each worker are the age at which they enter work, the participant's initial salary, and the participant's chance of survival/death. In addition, the calculation of normal contributions also depends on the interest rate used. In this study, the interest rate used is the interest rate of the Cox-Ingersoll-Ross (CIR) model. The normal contribution amount for EAN is constant for each period, while the normal contribution amount for FIL changes when there are participants who retire in the pension program group. The normal FIL contribution tends to be on average compared to the EAN normal contribution for each participant.
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使用 Cox-Ingersoll-Ross 利率 (CIR) 分析冻结初始负债法和初始年龄正常法的正常纳费额
社会保障计划的一种形式是养老金资助计划。养老金计划是一项旨在为退休员工提供福利的计划。根据成员类型,养老金计划分为两种类型,即个人和团体。这两种参与方式所采用的方法有所不同,即个人养老金计划采用正常进入年龄法(EAN),团体养老金计划采用冻结初始负债法(FIL)。每一时期,个人和团体养老金计划参加者都必须缴纳正常缴费。影响每个工人正常缴费金额的因素包括他们参加工作的年龄、参与者的初始工资以及参与者的存活/死亡几率。此外,正常缴费额的计算还取决于所使用的利率。本研究采用的利率是 Cox-Ingersoll-Ross 模型(CIR)的利率。EAN 的正常缴费额在每个时期都是不变的,而 FIL 的正常缴费额在有参保人退休时会发生变化。与 EAN 正常缴费额相比,FIL 正常缴费额趋于平均。
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