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The cost of business cycles for unskilled workers
Mukoyama, Toshihiko; Sahin, Aysegul (2005-07-01)
This paper reconsiders the cost of business cycles under incomplete markets. Primarily, we focus on the heterogeneity in the cost of business cycles among agents with different skill levels. Unskilled workers are subject to a much larger risk of unemployment during recessions than are skilled workers. Moreover, unskilled workers earn less income, which limits their ability to self-insure. We examine how this heterogeneity in unemployment risk and income translates into heterogeneity in the cost of business cycles. We set up a dynamic general equilibrium model with incomplete markets, in which ...
Staff Reports , Paper 214

Working Paper
Closing Large Open Economy Models
Bodenstein, Martin (2006)
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 ...
International Finance Discussion Papers , Paper 867

Working Paper
Are Government Bonds Net Wealth or a Liability? ---Optimal Debt and Taxes in an OLG Model with Uninsurable Income Risk
Chien, YiLi; Wen, Yi; Wu, HsinJung (2020-04-08)
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 Papers , Paper 2020-007

Working Paper
Low Risk Sharing with Many Assets
Singh, Sanjay R.; Marin, Emile A. (2023-11-30)
Classical contributions in international macroeconomics rely on goods-market mechanisms to reconcile the cyclicality of real exchange rates when financial markets are incomplete. However, cross-border trade in one domestic and one foreign-currency-denominated risk-free asset prohibits these mechanisms from breaking the pattern consistent with complete markets. In this paper, we characterize how goods markets drive exchange rate cyclicality, taking into account trade in risk-free and/or risky assets. We show that goods-market mechanisms come back into play, even when there is cross-border ...
Working Paper Series , Paper 2023-37

Working Paper
Optimal Public Debt with Life Cycle Motives
Sager, Erick; Peterman, William B. (2018-04-20)
Public debt can be optimal in standard incomplete market models with infinitely lived agents, since the associated capital crowd-out induces a higher interest rate. The higher interest rate encourages individuals to save and, hence, better self-insure against idiosyncratic labor earnings risk. Even though individual savings behavior is a crucial determinant of the optimality of public debt, this class of economies abstracts from empirically observed life cycle savings patterns. Thus, this paper studies how incorporating a life cycle affects optimal public debt. We find that while the ...
Finance and Economics Discussion Series , Paper 2018-028

Working Paper
The Determination of Public Debt under both Aggregate and Idiosyncratic Uncertainty
Chien, YiLi; Wen, Yi (2020-08-13)
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 Papers , Paper 2019-038

Working Paper
The Ramsey Steady-State Conundrum in Heterogeneous-Agent Economies
Chien, YiLi; Wen, Yi (2023-02-06)
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 Papers , Paper 2022-009

Report
Spillovers and Spillbacks
Acharya, Sushant; Pesenti, Paolo (2024-03-01)
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 ...
Staff Reports , Paper 1089

Working Paper
Assessing bankruptcy reform in a model with temptation and equilibrium default
Nakajima, Makoto (2015-03-09)
A life-cycle model with equilibrium default in which consumers with and without temptation coexist is constructed to evaluate the 2005 bankruptcy law reform and other counterfactual reforms. The calibrated model indicates that the 2005 bankruptcy reform achieves its goal of reducing the number of bankruptcy filings, as seen in the data, but at the cost of loss in social welfare. The creditor-friendly reform provides borrowers with a stronger commitment to repay and thus yields lower default premia and better consumption smoothing. However, those who borrow and default due to temptation or ...
Working Papers , Paper 15-12

Report
Optimal Monetary Policy According to HANK
Dogra, Keshav; Challe, Edouard; Acharya, Sushant (2020-02-01)
We study optimal monetary policy in a heterogeneous agent new Keynesian economy. A utilitarian planner seeks to reduce consumption inequality, in addition to stabilizing output gaps and inflation. The planner does so both by reducing income risk faced by households, and by reducing the pass-through from income to consumption risk, trading off the benefits of lower inequality against productive inefficiency and higher inflation. When income risk is countercyclical, policy curtails the fall in output in recessions to mitigate the increase in inequality. We uncover a new form of time ...
Staff Reports , Paper 916

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