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

Author(s):  
Kum-Hwan Roh ◽  
Ji Yeoun Kim ◽  
Yong Hyun Shin
2018 ◽  
Vol 23 (4) ◽  
pp. 627-628 ◽  
Author(s):  
Yong Hyun Shin ◽  
Jung Lim Koo ◽  
Kum Hwan Roh

In this paper, we analyze the optimal consumption and investment problem of an agent who has a quadratic-type utility function and faces a subsistence consumption constraint. We use the dynamic programming method to solve the optimization problem in continuous-time. We further provide the sufficient conditions for the optimization problem to be well-defined.


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