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带有劳动收入的最优消费和投资问题研究进展
引用本文:梁勇,费为银,姜奎.带有劳动收入的最优消费和投资问题研究进展[J].南京气象学院学报,2016,8(1):83-90.
作者姓名:梁勇  费为银  姜奎
作者单位:安徽工程大学 数理学院, 芜湖, 241000;安徽工程大学 数理学院, 芜湖, 241000;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(71171003,71571001)
摘    要:现代投资组合理论一直是金融工程中活跃的研究方向.首先阐述了消费-投资组合问题的研究现状,介绍了不同时期国内外学者的研究成果和方法,接着较为详细地论述了带有劳动收入的最优消费和投资组合问题并给出了所要研究的模型,即含有时变的投资机会和动态劳动收入的模型,最后给出所要研究模型在通胀环境和Knight不确定下的拓展框架.

关 键 词:投资组合  劳动收入  HJB方程  通货膨胀  Knight不确定
收稿时间:2015/7/19 0:00:00

Research advances on optimal consumption and portfolio issue with labor income
LIANG Yong,FEI Weiyin and JIANG Kui.Research advances on optimal consumption and portfolio issue with labor income[J].Journal of Nanjing Institute of Meteorology,2016,8(1):83-90.
Authors:LIANG Yong  FEI Weiyin and JIANG Kui
Institution:School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000;School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000;School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000
Abstract:Modern portfolio theory has been the active research topic in financial engineering.In this paper,we explained the research situation of consumption-portfolio issue and introduced the main researchers and their study results as well as methods in different periods.Then we discuss the optimal consumption and portfolio problem with labor income in detail and give the model to be studied,namely the model including time varying investment opportunities and dynamic labor income.Finally,we give the expansion of the framework of the model under inflation and Knightian uncertainty.
Keywords:portfolio  labor income  HJB equation  inflation  Knightian uncertainty
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