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随机利率下的N年最低保证年金
Nyears minimum guarantee annuity under stochastic interest
【摘要】 采用维纳过程对利息力累积函数建模,研究了连续支付的N年最低保证年金现值的各阶矩.在一些特殊的死亡假设下得到了各阶矩的简洁表达式,给出了最低保证年金的一种特殊形式(分期退还年金)。
【Abstract】 In this paper,a model for the interest force accumulation function by Wiener process is established.Based on the model,all orders moment of present value of the N years minimum guarantee annuity are given.The concise expressions are given in some special mortality hypotheses,and a special form of the annuity is also considered.
【关键词】 最低保证年金;
随机利率;
维纳过程;
几何Brownian运动;
【Key words】 minimum guarantee annuity; stochastic interest; Wiener process; geometric Brownian motion;
【Key words】 minimum guarantee annuity; stochastic interest; Wiener process; geometric Brownian motion;
- 【文献出处】 阜阳师范学院学报(自然科学版) ,Journal of Fuyang Teachers College(Natural Science) , 编辑部邮箱 ,2010年04期
- 【分类号】F842.6;F224
- 【下载频次】46