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在红利支付情形下考虑负效用的消费投资问题
引用本文:梁勇,费为银,陈超.在红利支付情形下考虑负效用的消费投资问题[J].南京信息工程大学学报,2014(2):188-192.
作者姓名:梁勇  费为银  陈超
作者单位:安徽工程大学 数理学院,芜湖,241000
基金项目:国家自然科学基金(71171003);安徽省高校自然科学基金(( KJ2012B019, KJ2013B023);安徽省高校省级人文社会科学基金(SK20138057)
摘    要:研究了经济代理人面临红利支付和劳动负效用情形下投资与退休选择问题,其中考虑了风险资产派发红利及劳动会给经济代理人带来效用损失的情形.代理人享有退休选择权,退休决策使得代理人避免了劳动负效用,却必须要放弃工资收入.代理人效用来自消费,并且受劳动负效用的直接影响.利用动态规划的方法去解自由边值问题,得到了代理人临界财富水平和最优消费投资组合策略显示解.

关 键 词:消费和投资组合选择  退休  负效用  红利  动态规划

Optimal consumption portfolio and retirement problem with dividend-payment and disutility
LIANG Yong,FEI Weiyin,CHEN Chao.Optimal consumption portfolio and retirement problem with dividend-payment and disutility[J].Journal of Nanjing University of Information Science & Technology,2014(2):188-192.
Authors:LIANG Yong  FEI Weiyin  CHEN Chao
Affiliation:LIANG Yong, FEI Weiyin, CHEN Chao
Abstract:This paper studies an agent?s consumption/portfolio and retirement problem,in which the dividend-pay-ment of risk assets as well as the utility loss from labor are considered. The agent has an option to retire from his work.Before retirement the agent receives labor income but suffers a utility loss due to work,however,by deciding to retire from work,he saves the utility loss but gives up labor income.The agent utility comes from consumption,which is directly influenced by utility loss due to labor. We obtain an explicit solution for the agent?s critical wealth level and optimal consumption/portfolio strategy by using dynamic programming methods to solve a free boundary value problem.
Keywords:consumption and portfolio selection  retirement  disutility  dividend  dynamical programming
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