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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
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
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
Are Government Bonds Net Wealth or a Liability? ---Optimal Debt and Taxes in an OLG Model with Uninsurable Income Risk
A positive national debt is often rationalized either by the assumption of dynamic inefficiency in an overlapping-generations (OLG) model, or by the hypothesis of heterogeneous-agents and incomplete-markets (HAIM) in an infinite horizon model. Both assumptions imply insufficient private liquidity to support private saving and investment, thus calling for a positive level of public debt to improve social welfare. However, since public debt is financed often by distortionary future taxes, optimal debt and tax policies ought to be studied jointly in a single framework. In this paper we use a ...
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 demonstrates the critical importance of proving the existence of the Ramsey steady state when conducting theoretical or numerical analysis on optimal fiscal policies. We use an analytically tractable heterogeneous-agent model to make our point by showing that the conditions for the existence of an interior Ramsey steady state are quite sensitive to structural parameter values. In particular, we show that researchers may draw ...
Working Paper
Are Government Bonds Net Wealth or a Liability? ---Optimal Debt and Taxes in an OLG Model with Uninsurable Income Risk
A positive national debt is often rationalized either by the assumption of dynamic inefficiency in an overlapping-generations (OLG) model, or by the hypothesis of heterogeneous-agents and incomplete-markets (HAIM) in an infinite horizon model. Both assumptions imply insufficient private liquidity to support private saving and investment, thus calling for a positive level of public debt to improve social welfare. However, since public debt is financed often by distortionary future taxes, optimal debt and tax policies ought to be studied jointly in a single framework. In this paper we use a ...