Optimal portfolio and consumption with habit formation in a jump diffusion market

被引：4

作者：

Ruan, Xinfeng ^{[1
]}

Zhu, Wenli ^{[1
]}

Hu, Jin ^{[2
]}

Huang, Jiexiang ^{[1
]}

机构：

[1] Southwestern Univ Finance & Econ, Sch Econ Math, Chengdu 611130, Peoples R China

[2] Chongqing Jiaotong Univ, Sch Sci, Chongqing 400047, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 222卷

关键词：

Portfolio and consumption; Habit formation; Stochastic control; Jump diffusions market; The maximum principle; Equity premium puzzle; MAXIMUM-PRINCIPLES; STOCHASTIC-CONTROL; PRICES;

D O I：

10.1016/j.amc.2013.07.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies optimal portfolio and consumption selection with habit formation in a jump diffusions incomplete market in continuous-time. The stochastic maximum principle for jump processes is applied to solve habit-forming utility maximization problem. We transform this problem into the case not involving habit formation in mechanically. Then the solution in the state feedback form is given. The relationship between maximum principle and dynamic programming is employed to get the expression of the relative risk aversion (RRA) coefficient and its distribution. Finally, for a special case, the stationary mean of the RRA coefficient is obtained and the numerical experiment indicates our model with jump diffusions is better than the model in [1] to resolve the equity premium puzzle in a way. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：391 / 401

页数：11

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