This paper solves a real business cycle model with heterogeneous agents and uninsurable income risk using perturbation methods. A second order accurate characterization of agent's optimal decision rules is given, which renders the implications of aggregation for macroeconomic dynamics...

"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...