Optimal pension management in a stochastic framework

被引:112
|
作者
Battocchio, P
Menoncin, F
机构
[1] Univ Brescia, Dipartimento Sci Econ, I-25122 Brescia, Italy
[2] Univ Trieste, Dipartimento Matemat Applicata B De Finetti, I-34127 Trieste, Italy
来源
INSURANCE MATHEMATICS & ECONOMICS | 2004年 / 34卷 / 01期
关键词
defined-contribution pension plan; salary risk; inflation risk; Stochastic optimal control; Hamilton-Jacobi-Bellman equation;
D O I
10.1016/j.insmatheco.2003.11.001
中图分类号
F [经济];
学科分类号
02 ;
摘要
We consider a stochastic model for a defined-contribution pension fund in continuous time. In particular, we focus on the portfolio problem of a fund manager who wants to maximize the expected utility of his terminal wealth in a complete financial market with stochastic interest rate. The fund manager must cope with two background risks: the salary risk and the inflation risk. We find a closed form solution for the asset allocation problem and so we are able to analyze in detail the behavior of the optimal portfolio with respect to salary and inflation. Finally, a numerical simulation is presented. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:79 / 95
页数:17
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