The observed hump-shaped life-cycle pattern in individuals' consumption cannot be explained by the classical consumption-savings model. We explicitly solve a model with utility of both consumption and leisure and with educational decisions affecting future wages. We show optimal consumption is...

We show that when a seller of a differentiated good offers the product allowing consumers an option to pay what they like, then all consumers will never free ride in equilibrium when their valuations of the good are positive, and, under certain conditions, all will consumers would pay. Further,...

The observed hump-shaped life-cycle pattern in individuals' consumption cannot be explained by the classical consumption-savings model. The consensus explanation is that the hump is caused by constraints and unspanned risks. However, we explicitly show that the consumption hump naturally emerges...

The empirically observed hump-shaped pattern in individuals' consumption over their life cycle cannot be explained by the classical consumption-savings model. We explicitly solve an extended model with utility depending on both consumption and leisure and with endogenous educational decisions...

Using longitudinal data from PSID, we show the positive relation between labor income and the equity share of financial wealth is stronger for those who have a higher persistence in shocks to permanent labor income. The results support the hypothesis that the cross sectional variation in...

The empirically observed hump-shaped pattern in individuals' consumption over their life cycle cannot be explained by the classical consumption-savings model. We explicitly solve an extended model with utility depending on both consumption and leisure and with endogenous educational decisions...

The utility-maximizing consumption and investment strategy of an individual investor receiving an unspanned labor income stream seems impossible to find in closed form and very difficult to find using numerical solution techniques. We suggest an easy procedure for finding a specific, simple, and...