Compare a closed with an open economy, each of which is initially in medium-run equilibrium and has an inflation-targeting central bank. Assume that both are modelled by the 3-equation model and wage-setters use the producer rather than the consumer price index. Statement: The response of output and inflation to a decision by the central bank to raise the inflation target is identical in the closed and open economies.

 For this question identify the statement as True, False, or Uncertain. You may use data chats, diagrammatic and mathematical arguments as appropriate.