Text: Question 2. Begin in a medium-run equilibrium where actual and expected inflation equals 2% in period 0 and suppose there is an increase in consumer confidence, e.g. due to a stock market boom, in period 1. Parts (a), (b), and (c) below assume adaptive expectations, i.e. T = -(expected inflation in each period equals lagged inflation from the previous period).
a. How does the IS curve change from period 0 to period 1? What is the value of expected inflation in period 0? How does the short-run equilibrium output and inflation rate in period 1 compare to the equilibrium output and inflation rate in period 0 if the central bank does not change the real policy rate from period to period 1?
b. Now advance the economy to the period 2 equilibrium under the assumption that consumer confidence remains high. If the central bank leaves the real policy rate unchanged, will inflation be higher or lower in period 2 than in period 1?
c. What do you conclude about the central bank policy of keeping the real policy rate unchanged in period 2? Is it sustainable?