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Working Paper
Individual and Aggregate Constrained Efficient Intertemporal Wedges in Dynamic Mirrleesian Economies
Assuming a neoclassical production technology, this paper characterizes constrained efficient intertemporal wedges for the macro aggregate as well as the micro individual allocation of dynamic Mirrleesian economies. We first construct ?Pareto-Negishi weights? from the multipliers on a sequence of temporary incentive constraints. For a fairly general stochastic process of idiosyncratic productivity shocks, we show that the evolution of the Pareto-Negishi weight associated with agents? consumption is a nonnegative martingale. This powerful property enables us to deliver three contributions to ...
Working Paper
Optimal Ramsey Capital Income Taxation —A Reappraisal
This paper addresses a long-standing problem in the optimal Ramsey capital taxation literature. The tractability of our model enables us to solve the Ramsey problem analytically along the entire transitional path. We show that the conventional wisdom on Ramsey tax policy and its underlying intuition and rationales do not hold in our model and may thus be misrepresented in the literature. We uncover a critical trade off for the Ramsey planner between aggregate allocative efficiency in terms of the modified golden rule and individual allocative efficiency in terms of self-insurance. Facing the ...
Working Paper
Modeling monetary economies: an equivalence result
We present a thought-provoking study of two monetary models: the cash-in-advance and the Lagos and Wright (2005) models. The different approaches to modeling money?reduced-form vs. explicit role?neither induce fundamental theoretical nor quantitative differences in results. Given conformity of preferences, technologies and shocks, both models reduce to equilibrium difference equations that coincide unless price distortions are differentially imposed on cash prices, across models. Equal distortions support equally large welfare costs of inflation. Performance differences stem from unequal ...
Working Paper
The Determination of Public Debt under both Aggregate and Idiosyncratic Uncertainty
We analyze the Ramsey planner's decisions to finance stochastic public expenditures under incomplete insurance markets for idiosyncratic risk. We show analytically that whenever the market interest rate lies below the time discount rate, the Ramsey planner has a dominant incentive to increase debt to meet the private sector's demand for full self-insurance regardless of the relative size of aggregate shocks---suggesting a departure from tax smoothing. However, if a full self-insurance Ramsey allocation is infeasible in the absence of a government debt limit, an interior or bounded Ramsey ...
Working Paper
The Determination of Public Debt under both Aggregate and Idiosyncratic Uncertainty
We use an analytically tractable model to show that the Ramsey planner's decisions to finance stochastic public expenditures under uninsurable idiosyncratic risk implies a departure from tax smoothing. In the absence of state-contingent bonds the government's attempt to balance the competing incentives between tax smoothing and individual consumption smoothing---even at the cost of extra tax distortion---implies a bounded stochastic unit root component in optimal taxes. Nonetheless, a sufficiently high average level of public debt to support individuals’ self-insurance position is welfare ...
Working Paper
The Determination of Public Debt under both Aggregate and Idiosyncratic Uncertainty
We analyze the Ramsey planner's decisions to finance stochastic public expenditures under incomplete insurance markets for idiosyncratic risk. We show analytically that whenever the market interest rate lies below the time discount rate, the Ramsey planner has a dominant incentive to increase debt to meet the private sector's demand for full self-insurance regardless of the relative size of aggregate shocks---suggesting a departure from tax smoothing. However, if a full self-insurance Ramsey allocation is infeasible in the absence of a government debt limit, an interior or bounded Ramsey ...
Working Paper
Optimal Fiscal Policies under Market Failures
The aggregate capital stock in a nation can be overaccumulated for many different reasons. This paper studies which policy or policy mix is more effective in achieving the socially optimal (golden rule) level of aggregate capital stock in an infinite-horizon heterogeneous-agents incomplete-markets economy where capital is over-accumulated for two distinct reasons: (i) precautionary savings and (ii) production externalities. By solving the Ramsey problem analytically along the entire transitional path, we show that public debt and capital taxation play very distinct roles in dealing with the ...
Working Paper
Are Government Bonds Net Wealth or a Liability? ---Optimal Debt and Taxes in an OLG Model with Uninsurable Income Risk
The rapidly growing national debt in the U.S. since the 1970s has alarmed and intrigued the academic world. Consequently, the concept of dynamic (in)efficiency in an overlapping generations (OLG) world and the importance of the heterogeneous-agents and incomplete markets (HAIM) hypothesis to justify a high debt-to-GDP ratio have been extensively studied. Two important consensus emerge from this literature: (i) The optimal quantity of public debt is positive—due to insufficient private liquidity to support private saving and investment (see, e.g., Barro (1974), Woodford (1990), and Aiyagari ...
Working Paper
Understanding the distributional impact of long-run inflation
The impact of fully anticipated inflation is systematically studied in heterogeneous agent economies with an endogenous labor supply and portfolio choices. In stationary equilibrium, inflation nonlinearly alters the endogenous distributions of income, wealth, and consumption. Small departures from zero inflation have the strongest impact. Three features determine how inflation impacts distributions and welfare: financial structure, shock persistence, and labor supply elasticity. When agents can self-insure only with money, inflation reduces wealth inequality but may raise consumption ...
Working Paper
Don’t Tax Capital — Optimal Ramsey Taxation in Heterogeneous Agent Economies with Quasi-Linear Preferences
We build a tractable heterogeneous-agent incomplete-markets model with quasi-linear preferences to address a set of long-standing issues in the optimal Ramsey taxation literature. The tractability of our model enables us to analytically prove the existence of a Ramsey steady state and establish several novel results: (i) Depending on the government's capacity to issue debt, there can exist different types of Ramsey steady states but they have the same implications for optimal long-run tax policies. (ii) The optimal capital tax is exclusively zero in a Ramsey steady state regardless of the ...