Portfolio and consumption decisions with the consumption habit constraints
Cheng, Bing; Wei, Xianhua
刊名NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
2005-11-30
卷号63期号:5-7页码:E2335-E2346
关键词Investment Consumption habit Intertemporal asset pricing Portfolio insurance
ISSN号0362-546X
DOI10.1016/j.na.2005.03.007
英文摘要In this paper we first argue that for a large group of investors, their portfolio and consumption choice problem must be attached to a consumption habit constraint. By using the Cox and Huang martingale approach, we obtain the optimal consumption behavior for the consumption habit. For the investors who adopt some special forms of the consumption habit, we study their investment behavior. For the constant relative risk aversion (CRRA) based investors, their behavior is related to the constant proportion portfolio insurance (CPPI) investment strategy. The deterministic part of the consumption habit will reduce the demand for risky assets and the stochastic part will increase the demand for risky assets. Once imposing the consumption habit requirement, even for the CRRA utility, the demand for risky assets is not myopic in the Merton's (1973) definition any more. (C) 2005 Elsevier Ltd. All rights reserved.
资助项目Chinese Academy of Science ; Natural Science Foundation of China ; Risk Measurement Project ; Scientist Group of the Natural Science Foundation of China
WOS研究方向Mathematics
语种英语
出版者PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号WOS:000208147800229
内容类型期刊论文
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/1872]  
专题应用数学研究所
通讯作者Cheng, Bing
作者单位Chinese Acad Sci, Res Ctr Financial Engn & Risk Management, Acad Math & Syst Sci, Beijing, Peoples R China
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GB/T 7714
Cheng, Bing,Wei, Xianhua. Portfolio and consumption decisions with the consumption habit constraints[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2005,63(5-7):E2335-E2346.
APA Cheng, Bing,&Wei, Xianhua.(2005).Portfolio and consumption decisions with the consumption habit constraints.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,63(5-7),E2335-E2346.
MLA Cheng, Bing,et al."Portfolio and consumption decisions with the consumption habit constraints".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 63.5-7(2005):E2335-E2346.
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