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 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...

We show that the optimal consumption of an individual over the life cycle can have the hump shape (inverted U-shape) observed empirically if the preferences of the individual exhibit internal habit formation. In the absence of habit formation, an impatient individual would prefer a decreasing...

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 establish a powerful method to solve the life-cycle consumption choice problem of an individual facing biometric risks that are uninsurable. Problems of this type are notoriously hard to solve and closed-form solutions are unknown. The solution is obtained by optimizing over a parametrized...

We set up and solve a rich life-cycle model of household decisions involving consumption of both perishable goods and housing services, stochastic and unspanned labor income, stochastic house prices, home renting and owning, stock investments, and portfolio constraints. The model features habit...

We show that the net corporate payout yield predicts both the stock market index and house prices and that the log home rent-price ratio predicts both house prices and labor income growth. We incorporate the predictability in a rich life-cycle model of household decisions involving consumption...