We introduce aggregate uncertainty and complete markets into Blanchard's (1985) perpetual youth model. We show how to construct a simple formula for the pricing kernel in terms of observable aggregate variables. We study a pure trade version of our model and we show it behaves much like the...

"We introduce a solution technique for the study of discrete time stochastic models populated by long-lived agents. We introduce aggregate uncertainty and complete markets into a 'perpetual-youth' model of a kind first studied by Olivier Blanchard and we show that the pure-trade version of the...