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损失厌恶投资者最优消费和投资组合选择理论的研究进展
引用本文:罗旭,费为银,夏登峰.损失厌恶投资者最优消费和投资组合选择理论的研究进展[J].南京气象学院学报,2017,9(4):437-444.
作者姓名:罗旭  费为银  夏登峰
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:自Markowitz投资组合理论问世以来,投资组合选择问题就受到了国内外很多学者的关注,并对其进行了大量研究.本文首先阐述了现代投资组合的理论框架,然后介绍了不同时期国内外学者的研究成果和方法,接着较为详细地介绍了带有行为投资的最优消费和投资组合问题并给出了含损失厌恶的投资组合模型,最后在通胀、跳扩散以及Knight不确定环境下对含有损失厌恶的最优消费和投资组合模型进行了拓展.

关 键 词:行为金融  损失厌恶  投资组合  通胀  跳扩散  Knight不确定  鞅方法
收稿时间:2016/3/26 0:00:00

Research advances on the theory of optimal consumption and portfolio for loss aversion
LUO Xu,FEI Weiyin and XIA Dengfeng.Research advances on the theory of optimal consumption and portfolio for loss aversion[J].Journal of Nanjing Institute of Meteorology,2017,9(4):437-444.
Authors:LUO Xu  FEI Weiyin and XIA Dengfeng
Institution:School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000,School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000 and School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000
Abstract:Since the advent of the Markowitz portfolio theory,the portfolio choice problem has been concerned and researched by many scholars.In this paper,we first explain the theoretical framework of modern portfolio,and introduce the main researchers and their studied results as well as methods in different periods.Then we discuss the optimal consumption-portfolio problem with behavioral portfolio in detail and a portfolio model with loss aversion is presented.Finally,we give the expansion of the framework of the consumption and investment portfolio model with loss aversion under the inflation,the jump-diffusion and the Knight uncertainty.
Keywords:behavioral finance  loss aversion  portfolio  inflation  jump diffusion  Knight uncertainty  martingale method
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