In this paper we consider general consumption, portfolio and retirement optimization problems in which a working investor has liquidity constraints. Closed-form solutions are obtained for the utility maximization problems and numerical procedures are given for the general utility function under the liquidity constraints. The numerical results for a special utility function, for example, the constant relative risk aversion(CRRA) utility function, suggest that the restriction to borrow future income makes the investor retire in a lower critical wealth level than in the case of no liquidity constraints.
목차
Abstract 1 Introduction 2 The Financial Market Setup 3 The Optimization Problem 4 The Optimal Values 5 Optimal Policies Under a CRRA Utility Class (Numerical Approaches) 6 Concluding Remarks A Duality Approaches B Solutions to the Problem C Proof of Theorem 4.2 References
키워드
Liquidity constraintsgeneral utility functionconsumptionportfolio selectionretirementdisutilitylabor income
저자
Byung Hwa Lim [ Department of Mathematical Science, KAIST, Daejeon, 305701, Republic of Korea ]
Corresponding Author
Yong Hyun Shin [ Financial Engineering Research Center(FERC), KAIST Business School, Seoul, 130722, Republic of Korea. ]