DP19339 Strike while the Iron is Hot: Optimal Monetary Policy with a Nonlinear Phillips Curve

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We study the Ramsey optimal monetary policy within the Golosov-Lucas (2007) state-dependent pricing framework. The model provides microfoundations for a nonlinear Phillips curve: the sensitivity of inflation to activity increases after large shocks due to an endogenous rise in the frequency of price changes, as observed during the recent inflation surge. In response to large cost-push shocks, optimal policy leverages the lower sacrifice ratio to reduce inflation and stabilize the frequency of

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