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The Welfare of Ramsey Optimal Policy Facing Auto-Regressive Shocks

Abstract : With non-controllable auto-regressive shocks, the welfare of Ramsey optimal policy is the solution of a single Riccati equation of a linear quadratic regulator. The existing theory by Hansen and Sargent (2007) refers to an additional Sylvester equation but miss another equation for computing the block matrix weighting the square of non-controllable variables in the welfare function. There is no need to simulate impulse response functions over a long period, to compute period loss functions and to sum their discounted value over this long period, as currently done so far. Welfare is computed for the case of the new-Keynesian Phillips curve with an auto-regressive cost-push shock. JEL classi…cation numbers: C61, C62, C73, E47, E52, E61, E63.
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Contributor : Jean-Bernard Chatelain <>
Submitted on : Thursday, June 25, 2020 - 2:53:10 PM
Last modification on : Tuesday, August 4, 2020 - 3:41:06 AM


2020 06 24 Chatelain Ralf PP E...
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  • HAL Id : hal-02881216, version 1
  • ARXIV : 2006.14842
  • WOS : 000543249700012


Jean-Bernard Chatelain, Kirsten Ralf. The Welfare of Ramsey Optimal Policy Facing Auto-Regressive Shocks. Economics Bulletin, Economics Bulletin, 2020, 40 ((2)), pp.1797-1803. ⟨hal-02881216⟩



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