I study aggregate consumption dynamics under incomplete markets, focusing on the relationship between consumption and the path for interest rates. I first provide a general aggregation result under extreme illiquidity (no borrowing and no outside assets), deriving a generalized Euler relation...

What is the effect of higher expectations of future inflation on current inflation? I compute this passthrough for a series of canonical firm-pricing models, but allowing for arbitrary (non-rational) expectations. In the Calvo model, the expectational-passthrough can be made arbitrarily close to...

How are optimal taxes affected by the presence of superstar phenomena at the top of the earnings distribution? To answer this question, we extend the Mirrlees model to incorporate an assignment problem in the labor market that generates superstar effects. Perhaps surprisingly, rather than...

We study the interactions between sovereign debt default and maturity choice in a setting with limited commitment for repayment as well as future debt issuances. Our main finding is that, under a wide range of conditions, the sovereign should, as long as default is not preferable, remain passive...

We show that the Diamond and Mirrlees (1971) linear tax model contains the Mirrlees (1971) nonlinear tax model as a special case. In this sense, the Mirrlees model is an application of Diamond-Mirrlees. We also derive the optimal tax formula in Mirrlees from the Diamond-Mirrlees formula. In the...

We develop a multi-risk SIR model (MR-SIR) where infection, hospitalization and fatality rates vary between groups-in particular between the "young", "the middleaged" and the "old". Our MR-SIR model enables a tractable quantitative analysis of optimal policy similar to those already developed in...