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...

This paper studies the investment timing problem of an entrepreneur with a non- tradable real option with undiversifiable risk. We find that the time preference can have a significant impact on the risk attitude toward the idiosyncratic risk, which re- sults from the wealth effect on the implied...

Recent empirical studies conclude that small firms have higher but more variable growth rates than large firms. To explore the effect of this size-dependence regularity on moral hazard and investment, we develop a continuous-time agency model with time-varying firm size. Firm size is a diffusion...

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...