LPR定价机制下个人按揭还款方式选择——基于等额本金等额本息还款模型精算研究  

The Repayment Choice of Individual Housing Loan Under the LPR Pricing Mechanism—Actuarial Research Based on Average Capital and Average Capital Plus Interest Repayment Models

作　　者：芮招彪 刘相国 RUI Zhao-biao;LIU Xiang-guo(School of Mathematics and Statistics,Chaohu University,Chaohu Anhui 238000)

机构地区：[1]巢湖学院数学与统计学院,安徽巢湖238000

出　　处：《巢湖学院学报》2020年第3期87-92,共6页Journal of Chaohu University

基　　金：安徽省高校自然科学研究重点项目(项目编号:KJ2019A0683);高校优秀青年人才支持计划项目(项目编号:gxyq2019082);巢湖学院校级重点项目(项目编号:XLZ_201801)。

摘　　要：以还款过程中产生的现金流为出发点,对贷款还款过程建模,得到一般还款方式下期供、本金以及利息的关系式。再利用关系式得出等额本金和等额本息还款方式中期供、本金以及利息的精算式。接着,利用所得精算式,分析利息对贷款参数的变化率。最后通过案例为购房者提供还款方式和利率方式的组合选择建议。Taking the cash flow generated during the loan process as a starting point,the loan repayment process is modeled;the relationship between monthly repayment,capital and interest is obtained.Using these relationships obtained,this paper gives the actuarial formulas of monthly repayment,capital and interest of average capital method and average capital plus interest method.Next,using the obtained actuarial formulas,the sensitivity of the total interest to the loan parameters is given.Finally,the paper gives a suggestion on the selection of the optimal repayment method and interest rate method to the borrower.

关 键 词：精算式 还款方式 利率方式 选择建议 

分 类 号：O141.1[理学—数学] F830.9[理学—基础数学]