Subsistence consumption and investment problems with bankruptcy are classic constrained stochastic optimal control problem in financial economic, where the consumption rate should be greater than a positive number and the investor faces a bankruptcy payment. We derive novel asymptotic solution...

This paper studies a continuous-time optimal consumption and portfolio selection problem when an economic agent with recursive utility has stochastic income and liquidity constraints. To tackle this problem, we introduce a transform of the Hamilton-Jacobi-Bellman equation into a free boundary...

In this study, we investigate an optimal consumption and investment problem of an economic agent who faces a welfare constraint; the agent does not accept her expected utility (continuation value) falls below a certain fixed level regardless of the time and state. This optimization problem...