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基于Markov链的税延型养老保险跨期效用
引用本文:刘 华,关雪飘.基于Markov链的税延型养老保险跨期效用[J].应用数学,2020,33(1):58-65.
作者姓名:刘 华  关雪飘
作者单位:五邑大学数学与计算科学学院, 广东 江门 529020
基金项目:广东省自然科学基金(2016A030313005)
摘    要:通过购买税延型养老保险,投保人可以降低自己的税费,增加退休后可支配收入.因此,税延型养老保险一定程度上能够提高个体效用.然而实践中,个体健康状态和寿命是影响购买税延养老保险效用的重要因素.在个体跨期效用框架下,这里引入健康状态的Markov链模型,发现健康状态的恶化和较短的预期寿命都降低个体效用,从而也就降低了个体购买延税养老保险的意愿.因此,在推广税延养老保险时,政府制定的政策和保险公司设计的产品应给与这类人群最低保障.

关 键 词:税延型养老保险  可支配收入  跨期效用  MARKOV链

Intertemporal Utility of Tax-Deferred Pension Insurance Based on Markov Chain
LIU Hua,GUAN Xuepiao.Intertemporal Utility of Tax-Deferred Pension Insurance Based on Markov Chain[J].Mathematica Applicata,2020,33(1):58-65.
Authors:LIU Hua  GUAN Xuepiao
Institution:(School of Mathematics and Computational Science,Wuyi University,Jiangmen 529020,China)
Abstract:The insured has access to reduction on individual income-tax and increasement of dispos-able income during his retirement by purchasing tax-deferred pension insurance.Therefore,tax-deferred pension insurance can help to raise individual utility to some extent.Howerver,in practice,health state and lifetime are important factors about in uence on utility of purchasing tax-deferred pension insurance.Under the framework of intertemporal utility,the Markov chain model of health status is introduced here,and it is found that the deterioration in health and the short liftetime cause the reduction in individual utility,and thus drop people’s desire of purchasing tax-deferred pension insurance.Therefore,the policies initiated by the goverment and products designed by the insurer should supply these population with a minimum guarantee under the development of tax-deferred pension insurance.
Keywords:Tax-deferred pension insurance  Disposable income  Intertemporal utility  Markov chain
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