Suppose central bank observes directly aggregate demand shocks or fully anticipates them. Formulate a monetary policy rule that would insulate the economy from aggregate demand shocks. This monetary policy rule would keep inflation at the target rate and GDP at potential (ie. on trend) when an aggregate demand shock hits the economy. Show how it would work in the context of the IS-MP diagram. How would this monetary policy rule depend upon the sensitivity of investment to the real interest rate?