Abstract
This paper incorporates liquidity constraints into a discrete three-stage model to investigate the consumption-savings decisions of present-biased agents. We derive the analytical solution for consumption choices of sophisticated and naive agents who hold illiquid assets that are untradable until the last period. Then, we investigate how the proportion of illiquid assets, liquidity premium and agents’ preferences affect the consumption of both agents. Our findings reveal that naive agents not always consume more than their sophisticated counterparts. Moreover, we theoretically find that illiquid assets may improve the welfare of agents and have a pre-commitment effect on both agents.
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