Question

a) Assume that the long-run aggregate supply curve is vertical at Y = 3,000 while the short-run aggregate supply curve is horizontal at P = 1.0. The aggregate demand curve is Y = 2(M/P) and M = 1,500.

i) If the economy is initially in long-run equilibrium, what are the values of P and Y?

ii) What is the velocity of money in this economy?

b) Assume that the long-run aggregate supply curve is vertical at Y = 3,000 while the short-run aggregate supply curve is horizontal at P = 1.0. The aggregate demand curve is Y = 3(M/P) and M = 1,000.

i) Suppose a supply shock moves the short-run aggregate supply curve to P=1.5. What are the new short run P and Y? What will be the new long run P and Y?

ii) Suppose that immediately after the supply shock the Federal Reserve Bank wanted to hold output at its long-run level. What level of M would be required? If this level of M were maintained, what would be long-run equilibrium P and Y?

iii) If M increases to 2,000, what are the new short-run values of P and Y?

iv) Once the economy adjusts to long-run equilibrium at M = 2,000, what are P and Y?

c) Use the aggregate demand