41) The expectations-augmented Phillips curve is
π = πe – 2(u – 0.06).
(a) Graph the long-run Phillips curve and the short-run Phillips curve for an expected inflation
rate of 0.04. If the Fed chooses to keep the actual inflation rate at 0.04, what will be the
unemployment rate? Label the equilibrium point “A”. What is the numerical value of the natural
rate of unemployment?
(b) An aggregate demand shock (resulting from increased exports of goods) raises the inflation
rate to 0.06 (the natural rate of unemployment and the expected inflation rate are not affected).
Show what happens on your graph. Label the equilibrium point “B”. What is the numerical value
of the unemployment rate?
(c) In response to the aggregate demand shock, suppose the Fed allows the inflation rate of 0.06
to persist. Show what happens on your graph, labeling the equilibrium point “C”. In the long run,
what is the numerical value of the unemployment rate?
(d) From the situation in part (c), suppose a supply shock raises the natural rate of
unemployment by .01 from its original value. If both the inflation rate and the expected inflation
rate do not change, show what happens in your graph, labeling the equilibrium point “D”. What
is the numerical value of the unemployment rate?
42) Starting on a Phillips curve with expected inflation equal to 5% and unemployment at its
natural rate, show what happens to unemployment if the Fed tries to reduce inflation, but has no
credibility. As time passes and people realize that the inflation rate is now lower, what happens
to the short-run Phillips curve?