We study testable implications for the dynamics of consumption and income of models in which first best allocations are not achieved because of a moral hazard problem with hidden saving. We show that in this environment agents typically achieve more insurance than that obtained under self...

We provide sufficient conditions for the validity of the first-order approach for two period dynamic moral hazard problems, where the agent can save and borrow secretly. We show that in addition to the concavity requirements for the standard moral hazard problem, non-increasing absolute risk...