We study the consumption and investment model under time-varying liquidity constraints (TVLC) that are widely used in reality. We first develop a martingale method to analyze the case in which the borrowing limit is specified by the debt-to-income ratio limit and then extend this framework to...

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...

We investigate the dynamic consumption and portfolio selection problem of an agent who has an intertemporal preference with loss and risk aversion, as proposed by Choi et al. (2019a). We disentangle the effects of loss aversion from those of risk aversion on risk taking. We show by simulation...