Optimal consumption and portfolio selection with quadratic utility and a subsistence consumption constraint
  • Koo, Jung Lim
  • Ahn, Se Ryoong
  • Koo, Byung Lim
  • Koo, Hyeng Keun
  • Shin, Yong Hyun
Citations

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초록

In this article, we analyze the optimal consumption and investment policy of an agent who has a quadratic felicity function and faces a subsistence consumption constraint. The agent's optimal investment in the risky asset increases linearly for low wealth levels. Risk taking continues to increase at a decreasing rate for wealth levels higher than subsistence wealth until it hits a maximum at a certain wealth level, and declines for wealth levels above this threshold. Further, the agent has a bliss level of consumption, since if an agent consumes more than this level she will suffer utility loss. Eventually her risk taking becomes zero at a wealth level which supports her bliss consumption.

키워드

Portfolio selectionquadratic utilitysubsistence consumption constraintmartingale method91G1091G80MODEL
제목
Optimal consumption and portfolio selection with quadratic utility and a subsistence consumption constraint
저자
Koo, Jung LimAhn, Se RyoongKoo, Byung LimKoo, Hyeng KeunShin, Yong Hyun
DOI
10.1080/07362994.2015.1112748
발행일
2016-01
유형
Article
저널명
Stochastic Analysis and Applications
34
1
페이지
165 ~ 177