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...

We solve a rich life-cycle model of household decisions involving consumption of perishable goods and housing services, habit formation for housing consumption, stochastic labor income, stochastic house prices, home renting and owning, stock investments, and portfolio constraints. In line with...

We analytically show that a common across rich/poor individuals Stone-Geary utility function with subsistence consumption in the context of a simple two-asset portfolio-choice model is capable of qualitatively and quantitatively explaining: (i) the higher saving rates of the rich, (ii) the...

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...

The paper constructs a model of optimal portfolio allocation that focuses on the role of housing as collateral, allows for house price risk, and assumes that altering the quantity of housing incurs an adjustment cost. Because of the adjustment cost, the current house value becomes a state...

Recent empirical evidence supports the view that the income process has an individual-specific growth rate component [Baker (1997), Guvenen (2007b), and Huggett, Ventura, and Yaron (2007)]. Moreover, the individual-specific growth component may be stochastic. Motivated by these empirical...

This paper uses a behavioral life-cycle model to analyze different pension schemes when people display non-standard consumption preferences and income-heterogeneity. Retirement resources depend on public pension benefits and individual savings accumulated over working life. Individual savings...