Ramsey Optimal Policy in the New-Keynesian Model with Public Debt

Pre-print, Working paper: This paper compares Ramsey optimal policy for the new-Keynesian model with public debt with its .scal theory of the price level (FTPL) equilibrium. Both the fiscal theory of the price level and Ramsey optimal policy implies that a de.cit shock is instantaneously followed by an increase of in.ation and output gap. But each optimal policy parameters belongs in di¤erent sets with respect to FTPL. The optimal .scal rule parameter implies local stability of public debt dynamics ("passive fiscal policy"). The optimal Taylor rule parameter for in.ation is larger than one. The optimal Taylor rule parameter for output gap is negative, because of the intertemporal substitution e¤ect of interest rate on output gap. Both Taylor rule optimal parameters implies the local stability of inflation and output gap dynamics.

Author(s)

Jean-Bernard Chatelain, Kirsten Ralf

Date of publication
  • 2019
Keywords JEL
C61 C62 E43 E47 E52 E58
Keywords
  • Fiscal theory of the Price Level
  • Ramsey optimal policy
Internal reference
  • PSE Working Papers n°2019-47
Version
  • 1