degree of pessimism of the representative agent is the mean of the individual ones weighted by their index of absolute risk …

productivity and aggregate business cycle risk. We show analytically that the whole welfare benefit from joint insurance against … both risks is greater than the sum of benefits from insurance against the isolated risk components. One reason is the … convexity of the welfare gain in total risk. The other reason is a direct risk interaction which amplifies the utility losses …

in closed form and show that joint presence of both risks leads to over-proportional risk exposure for households. This …

facing uninsurable idiosyncratic labor income risk. The Ramsey government internalizes the general equilibrium effects of … exhibits an optimal aggregate saving rate that is independent of income risk, whereas the optimal time-invariant tax on capital … implementing this saving rate is increasing in income risk. The optimal saving rate is constant along the transition and its sign …