In the basic New Keynesian model, suppose that there is an increase in government spending.

First, suppose that the central bank does nothing (accommodates the shock). Illustrate on the graphs and explain what will be the effects on inflation and output?

Second, suppose that economy initially has inflation equal to the central bank's inflation target and an output gap of zero. What action do you expect the central bank would undertake? Illustrate you answer on the graph and explain.