1. The economy of Alpha is in short-run equilibrium with a cyclical unemployment rate of 3%, a frictional unemployment rate of 4%, and an actual unemployment rate of 8%.
(a) Calculate Alpha's natural rate of unemployment. Show your work.
(b) Draw a correctly labeled graph of the aggregate demand, short-run aggregate supply, and long-run aggregate supply curves for Alpha, and show each of the following.
(i) The current equilibrium output and price level, labeled Y₁ and PL₁, respectively
(ii) The full-employment output, labeled Y_F
(c) Assume that policymakers take no action to close the output gap.
(i) Explain how Alpha's economy will adjust to full employment in the long run.
(ii) On your graph in part (b), show how Alpha's economy will adjust to full employment in the long run, labeling the new equilibrium price level PL₂.
(d) Assume instead that Alpha's central bank is considering using monetary policy to close a recessionary output gap. The banking system in Alpha has ample reserves. Identify a specific monetary policy action the central bank of Alpha would take to close the output gap in the short run.
(e) Draw a correctly labeled graph of the reserve market in Alpha, and show the effect of the action taken by the central bank identified in part (d) on the policy rate.
(f) Based on the change in the policy rate shown in part (e), what would happen to each of the following in the short run in Alpha?
(i) The price of previously issued bonds
(ii) The price level. Explain.
10.0000 pts
None (top-level)
Yes
Rubric Criteria (10)
C1The response calculates Alpha's natural rate of unemployment as 5% and shows the work, using either the difference between actual and cyclical unemployment (8% − 3% = 5%) or the sum of frictional and structural unemployment (4% + 1% = 5%).
1.0000pts
C2The response draws a correctly labeled aggregate demand–aggregate supply graph showing the price level PL₁ and real output Y₁ at the intersection of the AD and SRAS curves.
1.0000pts
C3The response shows a vertical long-run aggregate supply (LRAS) curve to the right of Y₁ and labels the full-employment output Y_F.
1.0000pts
C4The response explains that input prices (e.g., nominal wages) and/or inflationary expectations will decrease, causing SRAS to increase until the economy reaches full employment.
1.0000pts
C5On the graph from part (b), the response shows the long-run adjustment by shifting the SRAS curve to the right until it intersects the AD and LRAS curves at a lower price level labeled PL₂.
1.0000pts
C6The response states that the central bank would decrease its administered interest rates or decrease interest on reserves.
1.0000pts
C7The response draws a correctly labeled graph of the reserve market with the supply curve intersecting the demand curve in the range of ample reserves.
1.0000pts
C8The response shows a decrease in the administered interest rates resulting in a decrease in the policy rate, or shows a decrease in the lower bound of the demand curve for reserves resulting in a decrease in the policy rate.
1.0000pts
C9The response states that the price of previously issued bonds will increase and that the price level will increase.
1.0000pts
C10The response explains that the decrease in nominal interest rates will increase interest-sensitive spending (consumption, investment, or net exports), which will increase aggregate demand.
1.0000pts
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