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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 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
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 dominate incentive to issue plenty of debt, such that all households are fully self-insured against idiosyncratic risk whenever the interest rate of government borrowing is lower than the household time discount rate. But such a full self-insurance allocation may be paradoxical because, 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
The Ramsey Steady-State Conundrum in Heterogeneous-Agent Economies
In infinite horizon, heterogeneous-agent and incomplete-market models, the existence of an interior Ramsey steady state is often assumed instead of proven. This paper makes two fundamental contributions: (i) We prove that the interior Ramsey steady state assumed by Aiyagari (1995) does not exist in the standard Aiyagari model. Specifically, a steady state featuring the modified golden rule and a positive capital tax is feasible but not optimal. (ii) We design a modified, analytically tractable version of the standard Aiyagari model to unveil the necessary and/or sufficient conditions for the ...
Working Paper
Credit, bankruptcy, and aggregate fluctuations
We ask two questions related to how access to credit affects the nature of business cycles. First, does the standard theory of unsecured credit account for the high volatility and procyclicality of credit and the high volatility and countercyclicality of bankruptcy filings found in U.S. data? Yes, it does, but only if we explicitly model recessions as displaying countercyclical earnings risk (i.e., rather than having all households fare slightly worse than normal during recessions, we ensure that more households than normal fare very poorly). Second, does access to credit smooth aggregate ...
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
Closing Large Open Economy Models
A large class of international business cycle models admits multiple locally isolated deterministic steady states, if the elasticity of substitution between traded goods is sufficiently low. I explore the conditions under which such multiplicity occurs and characterize the dynamic properties in the neighborhood of each steady state. Models with standard incomplete markets, portfolio costs, a debt-elastic interest rate, or an overlapping generations framework allow for multiple steady states, if the model features multiple steady states under financial autarchy. If the excess demand for the ...
Working Paper
Should Capital Be Taxed?
We design an infinite-horizon heterogeneous-agents and incomplete-markets model to demonstrate analytically that in the absence of any redistributional effects of government policies, optimal capital tax is zero despite capital overaccumulation under precautionary savings and borrowing constraints. Our result indicates that public debt is a better tool than capital taxation to restore aggregate productive efficiency.
Working Paper
Assessing Bankruptcy Reform in a Model with Temptation and Equilibrium Default
A life-cycle model with equilibrium default in which agents with and without temptation coexist is constructed to evaluate the 2005 bankruptcy law reform. The calibrated model indicates that the 2005 reform reduces bankruptcies, as seen in the data, and improves welfare, as lower default premia allows better consumption smoothing. A counterfactual reform of changing income garnishment rate is also investigated. Interesting contrasting welfare effects between two types of agents emerge. Agents with temptation prefer a lower garnishment rate as tighter borrowing constraint prevents them from ...
Report
Spillovers and Spillbacks
We study international monetary policy spillovers and spillbacks in a tractable two-country Heterogeneous Agent New Keynesian model. Relative to Representative Agent (RANK) models, our framework introduces a precautionary-savings channel, as households in both countries face uninsurable income risk, and a real-income channel, as households have heterogeneous marginal propensities to consume (MPC). While both channels amplify the size of spillovers/spillbacks, only precautionary savings can change their sign relative to RANK. Spillovers are likely to be larger in economies with higher ...