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 examine the effects of collateralized borrowing in a realistically parameterized life-cycle portfolio choice problem. We provide basic intuition in a two-period model and then solve a multi-period model computationally. Our analysis provides insights into life-cycle portfolio choice relevant...

We examine the impact of risk-based portfolio constraints on asset prices in an exchange economy. Constrained agents scale down their portfolio and behave locally like power utility investors with risk aversion that depends on current market conditions. The imposition of constraints dampens...

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...

Empirical Studies of household portfolios have shown that young and relatively poor households hold under-diversified portfolios that are concentrated in a small number of assets, a fact often attributed to various behavioral biases. We present a model in which relatively poor investors, i.e.,...

Cryptocurrencies have left the dark side of the finance universe and become an object of study for asset and portfolio management. Since they have a low liquidity compared to traditional assets, one needs to take into account liquidity issues when adding them to the same portfolio. We propose a...

We find optimal trading policies for long-term investors with constant relative risk aversion and constant investment opportunities, which include one safe asset, liquid risky assets, and an illiquid risky asset trading with proportional costs. Access to liquid assets creates a diversification...

We consider the portfolio decision problem of a risky investor. The investor borrows at a rate higher than his lending rate, and invests in a risky bond whose market price is correlated with the credit quality of the investor. By viewing the concave drift of the wealth process as a continuous...

In the standard approach to fund valuation, it is often assumed that markets are perfectly liquid and hence assets have unique prices. In practice, however, as has been widely documented, this is not the case. Asset values are impacted by deterioration of market liquidity (market depth)....

This paper derives an equilibrium asset pricing model with endogenous liquidity risk, trading constraints, and asset price bubbles. Liquidity risk is modeled as a stochastic quantity impact on the price from trading, where the size of the impact depends on trade size. Asset price bubbles are...