养老金预测相关模型及替代率、收支平衡的分析
PDF下载 (574)吴菊凤.养老金预测相关模型及替代率、收支平衡的分析[J].宁波大学学报(理工版),2012,25(03):42-47.DOI:
WU Ju-feng.Pension Prediction Model and its Rate of Substitution, Balance of Revenue and Expenditure[J].Journal of Ningbo University(Natural Science & Engineering Edition),2012,25(03):42-47.DOI:
| Title: | Pension Prediction Model and its Rate of Substitution, Balance of Revenue and Expenditure |
| 作者: | 吴菊凤 |
| Author(s): | WU Ju-feng |
| 关键词: | 指数增长模型; 逻辑斯蒂模型; 高阶函数模型; 替代率; 收支平衡 |
| Keywords: | exponential growth model; logistic growth model; higher order function model; rate of substitution; balance of revenue and expenditure |
| 分类号: | O13 |
| 文献标识码: | A |
| 摘要: | 企业职工养老基金的收支平衡, 关系到社会稳定和向老龄化社会的顺利过渡. 利用微分方 程、高阶函数建立了预测远期社会平均工资及职工在职时的工资模型, 并经分析对比, 选用与实 际吻合较好的模型, 以3 种年龄段为例, 计算分析了它们的养老金、替代率、收支等情况. 结果 表明: 职工年平均工资高、退休年龄迟于60 岁、缴费年数多于20 年, 则替代率高, 能接近目标 值; 若基础养老金按现收现付方式管理, 且按目前法定年龄退休, 则缺口较大. 因此, 要从政策 与管理等多方面采取有效措施, 保障养老金保险制度顺利实施. |
| Abstract: | Pension fund balance of enterprise workers concers the social stability and smooth transition to an aging society. The author uses differential equation and higher-order function to establish a model which can predict long term staff’s salary and average wage. Through comparison and analysis, a suitable model is chosen and an example including three different age cohorts is taken. In the end, it is concluded that, if the staff’s per capita annual salary is high, his retirement age can start after 60, and his payment year lasts for more than 20 years, as a result, the rate of substitution is high. If basic pension is under the management of pay-as-you-go, and the retirement age is carried out in accordance with the government statute, there will be a big gap. Therefore, it needs to take effective countermeasures on policy and management to guard the smooth implementation of pension insurance system. |
| 参考文献 /References: | [1] 唐志强. 我国养老保险制度中存在的问题及对策[EB/
OL]. [2008-12-22]. http://www.npc.gov.cn.
[2] 钮东昊. 中华人民共和国社会保险法[EB/OL]. [2010-
10-29]. http://china.com.cn.
[3] 浙江大学创新网. 2011 年全国大学生数学建模竞赛题
C 题附件1[EB/OL]. [2011-09-09]. http://innov.zju.edu.
cn/sm/.
[4] 宣明. 数学建模与数学实验[M]. 杭州: 浙江大学出版
社, 2010:177-179, 211-217.
[5] 强国论坛. 中国2050 年要成为中等发达国家, 届时人
均最低月薪必须达到1300 美元[EB/OL]. [2006-02-09].
http://people.com.cn.
[6] 浙江大学创新网. 2011 年全国大学生数学建模竞赛题
C 题附件2[EB/OL]. [2011-09-09]. http://innov.zju.edu.
cn/sm/. |
| 备注/Memo: | 收稿日期: 2012?05?05. 宁波大学学报(理工版)网址: http://3xb.nbu.edu.cn 作者简介: 吴菊凤(1963-), 女, 浙江诸暨人, 硕士/讲师, 主要研究方向: 高等数学教学、数学建模教学. E-mail: wjf@zptc.cn 宁波大学学报(理工版)网址:http://journallg.nbu.edu.cn/ |