Consider an economy described by the following equations: C = 200 + 0.75(Y-T) where I = 200 - 25r, G = 100, T = 100, L(r, Y) = Y - 100r M = 1000 P = 2

(a) Derive the equation for the IS curve

(b) Derive the equation for the LM curve.

(c) What are the equilibrium interest rate r and the equilibrium level of output Y?

(d) What is the government purchases multiplier?

(e) What is the tax multiplier?

(f) Suppose that government purchases are raised from 100 to 150. How does the IS curve shift? What are the new equilibrium interest rate and level of output?

(g) Suppose instead that the money supply is raised from 1,000 to 1,200. How does the LM curve shift? What are the new equilibrium interest rate and level of output?

(h) With the initial values for monetary and fiscal policy, suppose that the price level rises from 2 to 4. What happens? What are the new equilibrium interest rate and level of output?

Consider an economy described by the following equations: C = 200 + 0.75(Y-T) where I = 200 - 25r, G = 100, T = 100, L(r, Y) = Y - 100r M = 1000 P = 2

(a) Derive the equation for the IS curve

(b) Derive the equation for the LM curve.

(c) What are the equilibrium interest rate r and the equilibrium level of output Y?

(d) What is the government purchases multiplier?

(e) What is the tax multiplier?

(f) Suppose that government purchases are raised from 100 to 150. How does the IS curve shift? What are the new equilibrium interest rate and level of output?

(g) Suppose instead that the money supply is raised from 1,000 to 1,200. How does the LM curve shift? What are the new equilibrium interest rate and level of output?

(h) With the initial values for monetary and fiscal policy, suppose that the price level rises from 2 to 4. What happens? What are the new equilibrium interest rate and level of output?