Reference no: EM133504393
Let's consider the following economy, represented by the aggregate demand and aggregate supply curves, whose expressions are as follows: AD : Y = (M - P) AS : P = P e + (Y - Yn) Y is output, M is money supply, P is the price level, P e is the expected price level, and Yn is the natural output level. The roles of government spending, G, and taxes, T, have been omitted. For the sake of simplicity, it is assumed that the demand for goods depends on the difference between M and P, rather than on their ratio. 3
Question 1. Assume that initially, the level of money supply is M0, and the expected price level, P e , is equal to the initial price level, P0. Find the expression of P0 in terms of M0 and Yn.
Question 2. Suppose that the central bank decides to pursue an unexpected expansionary monetary policy by doubling the money supply: M1 = 2M0. (a) Find the short-run equilibrium values of output, Y1, and price, P1 in terms of M0 and Yn.
(b) How do they compare with Y0 and P0?
(c) Explain intuitively and illustrate your answers using a graph.
Question 3. In the medium run: (a) What is the equilibrium value of output, Ym, ?
(b) Illustrate your answer using graphs.
Question 4. Find the value of the equilibrium price, Pm, in the medium run. How does it compare with the short-run equilibrium price?