We estimate a medium‐scale dynamic stochastic general equilibrium model for the Euro area with limited asset market participation (LAMP). Our results suggest that in the recent European Monetary Union years LAMP is particularly sizable (39% during 1993–2012) and important to understand business cycle features. The Bayes factor and the forecasting performance show that the LAMP model is preferred to its representative household counterpart. In the representative agent model the risk premium shock is the main driver of output volatility in order to match consumption correlation with output. In the LAMP model this role is played by the investment‐specific shock, because non‐Ricardian households introduce a Keynesian multiplier effect and raise...