In this paper, we consider economies with (possibly endogenous) solvency constraints under uncertainty. Constrained ine±ciency corresponds to a feasible redistribution yielding a welfare improvement beginning from ev- ery contingency reached by the economy. A sort of Cass Criterion (Cass [10]) completely characterizes constrained ine±ciency. This criterion involves only observable prices and requires low interest rates in the long-run, exactly as in economies with overlapping generations. In addition, when quantitative limits to liabilities arise from participation constraints, a feasible welfare im- provement, subject to participation, coincides with the introduced notion of constrained ine±ciency.