摘要
在L ee-Carter随机死亡率模型和AR(1)随机利息力模型条件下,建立了生存年金组合精算现值模型,并推导了年金组合现值的一、二阶矩。在利用我国死亡率经验数据估计模型参数的基础上,具体分析了一类生存年金组合,并通过年金组合现值的方差系数研究了年金组合面临的长寿风险与利率风险。
Based on Lee-Carter mortality model and AR(1) interest rates model,the present value model of the portfolio of annuities is established.The first two moments of present value for the portfolio are derived.Model parameters are estimated by the mortality data of the population in China.A general portfolio of life annuities is analyzed and the longevity risks and interest rate risks of the portfolio are examined through the coefficient of variation.
出处
《系统工程》
CSSCI
CSCD
北大核心
2010年第9期15-19,共5页
Systems Engineering
基金
国家自然科学基金资助项目(11071109)