An optimal consumption and investment problem with quadratic utility and negative wealth constraints
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초록

In this paper, we investigate the optimal consumption and portfolio selection problem with negative wealth constraints for an economic agent who has a quadratic utility function of consumption and receives a constant labor income. Due to the property of the quadratic utility function, we separate our problem into two cases and derive the closed-form solutions for each case. We also illustrate some numerical implications of the optimal consumption and portfolio.

키워드

consumptionportfolio selectionquadratic utilitynegative wealth constraintsmartingale methodPORTFOLIO SELECTION
제목
An optimal consumption and investment problem with quadratic utility and negative wealth constraints
저자
Roh, Kum-HwanKim, Ji YeounShin, Yong Hyun
DOI
10.1186/s13660-017-1469-x
발행일
2017-08
유형
Article
저널명
Journal of Inequalities and Applications
2017