FROZEN INITIAL LIABILITY METHOD TO DETERMINE NORMAL COST OF PENSION FUND WITH VASICEK INTEREST RATE MODEL

Sulma Sulma, Nur Ahniyanti Rasyid, I. N. Widana
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Abstract

Civil servants have an important role in national development, so increasing their productivity is needed. The pension fund program is given as a form of effort by government agencies to ensure employee welfare when entering retirement. This research discusses the normal cost of the defined benefit pension program using one of the actuarial valuation methods, namely Frozen Initial Liability (FIL), by taking into account the stochastic interest rate following the Vasicek model. The data used in this study are lecturers majoring in MIPA, Faculty of Science and Technology, Universitas Jambi, consisting of 8 people of female gender with the status of being a participant since 2022. Based on the calculation results obtained that in the period 0-30 years, the normal cost for each group member is constant, namely  per year or  per month. When the working period entered 31 years, one by one the participants began to enter their retirement period, which resulted in a change in the normal cost value. At 38 years of service, there was only one participant with a normal cost of  per year or by  per month. Changes in normal cost tend to decrease when retirement program participants also decrease. In the period of more than 38 years, all participants have retired so that normal cost payments are stopped.
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用瓦西切克利率模型确定养恤基金正常成本的冻结初始负债法
公务员在国家发展中发挥着重要作用,因此需要提高他们的工作效率。养老基金计划是政府机构为确保员工退休后的福利而做出的一种努力。本研究采用其中一种精算估值方法,即冻结初始负债(FIL),并根据 Vasicek 模型考虑了随机利率,讨论了福利确定型养老金计划的正常成本。本研究使用的数据是占碑大学科技学院 MIPA 专业的讲师,其中包括 8 名女性,她们自 2022 年起成为参保人。根据计算结果,在 0-30 年期间,每个小组成员的正常费用是不变的,即每年或每月。当工作年限进入 31 年时,参保者一个接一个地开始进入退休期,这导致了正常费用值的变化。工作满 38 年时,只有一名参加者的正常费用为每年或每月。当退休计划参加者减少时,正常费用的变化往往也会减少。在超过 38 年的时间里,所有参加者都已退休,因此正常费用的支付已经停止。
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