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Working Paper
The Determination of Public Debt under both Aggregate and Idiosyncratic Uncertainty
We use an analytically tractable, heterogeneous-agent incomplete-markets model to show that the Ramsey planner’s decision to finance stochastic public expenditures implies a departure from tax smoothing and an endogeneous mean-reverting force to support positive debt growth despite the government’s precautionary saving motives. Specifically, the government’s attempt to balance the competing incentives between its own precautionary saving (tax smoothing) and households’ precautionary saving (individual consumption smoothing)—even at the cost of extra tax distortion—implies an ...
Working Paper
Time-Inconsistent Optimal Quantity of Debt
A key feature of the infinite-horizon heterogeneous-agents incomplete-markets (Inf-HAIM) framework is that the equilibrium interest rate of public debt lies below the time discount rate (regardless of capital). This happens because of a positive liquidity premium on asset returns due to imperfect risk sharing. This fundamental property of standard Inf-HAIM models, however, implies that the Ramsey planner's fiscal policy may be time-inconsistent---because the planner has a dominate incentive to issue plenty of debt such that all households are fully self-insured against idiosyncratic risk ...
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
Capital Income Taxation with Housing
This paper quantitatively investigates capital income taxation in the general-equilibrium overlap-ping generations model with household heterogeneity and housing. Housing tax policy is found to affect how capital income should be taxed, due to substitution between housing and non-housing capital. Given the existing U.S. preferential tax treatment for owner-occupied housing, the optimal capital income tax rate is close to zero (1%), contrary to the high optimal capital income tax rate found with overlapping generations models without housing. A low capital income tax rate improves welfare by ...
Working Paper
Majority Voting: A Quantitative Investigation
We study the tax systems that arise in a once-and-for-all majority voting equilibrium embedded within a macroeconomic model of inequality. We find that majority voting delivers (i) a small set of outcomes, (ii) zero labor income taxation, and (iii) nearly zero transfers. We find that majority voting, contrary to the literature developed in models without idiosyncratic risk, is quite powerful at restricting outcomes; however, it also delivers predictions inconsistent with observed tax systems.
Working Paper
Implementing the Modified Golden Rule? Optimal Ramsey Capital Taxation with Incomplete Markets Revisited
What is the prescription of Ramsey capital taxation in the long run? Aiyagari (1995) addressed the question in a heterogeneous-agent incomplete-markets (HAIM) economy, showing that a positive capital tax should be imposed to implement the so-called modified golden rule (MGR). In deriving the MGR result, Aiyagari (1995) implicitly assumed that the multiplier on the resource constraint of the Ramsey problem converges to a finite positive value in the limit. We first show that this implicit assumption has a strong implication for the shadow price of Ramsey taxation in the limit: it must go to ...
Working Paper
The Determination of Public Debt under both Aggregate and Idiosyncratic Uncertainty
We use an analytically tractable, heterogeneous-agent incomplete-markets model to show that the Ramsey planner's decision to finance stochastic public expenditures implies a departure from tax smoothing and an endogenous mean-reverting force to support positive debt growth despite the government's precautionary saving motives. Specifically, the government's attempt to balance the competing incentives between its own precautionary saving (tax smoothing) and households' precautionary saving (individual consumption smoothing)---even at the cost of extra tax distortion---implies an endogenous, ...
Working Paper
Designing Unemployment Insurance for Developing Countries
The high incidence of informality in the labor markets of middle-income economies challenges the provision of unemployment protection. We show that, despite informational frictions, introducing an unemployment insurance savings account (UISA) system may provide substantial benefits. This system improves welfare by providing insurance to the unemployed and creating incentives to work in the formal sector. The optimal scheme generates a reduction in unemployment (from 4 to 3 percent), an increase in formality (from 68 to 72 percent), and a rise in total output (by 4 percent). Overall, ...
Working Paper
Time-Inconsistent Optimal Quantity of Debt
A key property of the Aiyagari-type heterogeneous-agent models is that the equilibrium interest rate of public debt lies below the time discount rate. This fundamental property, however, implies that the Ramsey planner’s fiscal policy may be time-inconsistent because the forward-looking planner would have a dominant incentive to issue plenty of debt such that all households are fully self-insured against idiosyncratic risk. But such a full self-insurance allocation may be paradoxical because, to achieve it, the optimal labor tax rate may approach 100% and aggregate consumption may approach ...
Working Paper
Optimal Fiscal Reform with Many Taxes
We study the optimal one-shot tax reform in the standard incomplete markets model where households differ in their wealth, earnings, permanent labor skill, and age. The government can provide transfers by raising tax revenue and has several tax instruments at its disposal: a flat capital income tax, a flat consumption tax, and a non-linear labor income tax. We compute the equilibrium and transitional dynamics for 3888 different tax combinations and find that the optimal fiscal policy funds a transfer that is above 60 percent of GDP through a combination of very high taxes on consumption and ...