Existence, uniqueness, and determinacy of a nonnegative equilibrium price vector in asset markets with general utility functions and an elliptical distribution

作     者：Chen, ZP 

作者机构：Xian Jiaotong Univ Fac Sci Dept Comp Sci & Appl Software Xian 710049 Peoples R China 

出 版 物：《ASIA-PACIFIC JOURNAL OF OPERATIONAL RESEARCH》 (亚太运筹学杂志)

年 卷 期：2004年第21卷第3期

页      面：393-405页

核心收录：

学科分类：1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：equilibrium prices the asset market utility functions the elliptical distribution optimal portfolios economic implication 

摘      要：For the asset market with finite numbers of investors whose utility functions are general concave functions, we derive a necessary and sufficient condition for the existence and uniqueness of the nonnegative equilibrium price vector that clears the asset market, through considering the expected utility maximization problem under the assumption that the joint distribution of risky assets returns is an elliptical distribution. An explicit formula for the equilibrium price is given. We also discuss the economic implication of the given condition and demonstrate that our necessary and sufficient condition can be regarded as a necessary condition to maintain the stability of the asset market. These results extend some results about the equilibrium analysis of the asset market.