In: Economics
Consider the following closed Keynesian economy:
Desired consumption and investment are given by:
Cd = 200+0.8(Y −T)−500r
Id = 200 − 500r. Taxes and government expenditures are given by
The real money demand is
T = 20+0.25Y G = G=196.
Md
P = 0.5Y − 250(r + πe).
The money supply M = 9890 and the expected inflation πe =
0.10.
(a) Derive the equations for the IS and LM curves and show them on
a (Y, r) graph.
(b) If the full-employment output is Y = 1000, what are the equilibrium values of r, P, C and I?
(c) Suppose there is a surprise increase in money supply, M to 12,650, what will be the short-run equilibrium values of Y, r, C and I? What will happen in the long-run? [Hint: Prices are sticky in the short–run (Keynesian)]
(d) If, after the increase in M the government increases its expenditure, what will be your predictions for Y,r,P,C and I? Be specific. [Do not solve for any variable.] Illustrate this on a diagram.