You are given the following model that describes the economy of Hypothetica.

(1) Consumption function: C = 100 + .8Yd

(2) Planned investment: I = 38

(3) Government spending: G = 75

(4) Exports: EX = 25

(5) Imports: IM = .05 Yd

(6) Disposable income: Yd Y - T

(7) Taxes: T = 40

(8) Planned aggregate expenditure:

AE C + I + G + EX - IM

(9) Definition of equilibrium income: Y = AE

a. What is equilibrium income in Hypothetica? What is the government deficit? What is the current account balance?

b. If government spending is increased to G = 80, what happens to equilibrium income? Explain using the government spending multiplier. What happens to imports?

c. Now suppose the amount of imports is limited to IM = 40 by a quota on imports. If government spending is again increased from 75 to 80, what happens to equilibrium income? Explain why the same increase in G has a bigger effect on income in the second case. What is it about the presence of imports that changes the value of the multiplier?

d. If exports are fixed at EX = 25, what must income be to ensure a current account balance of zero? (Hint: Imports depend on income, so what must income be for imports to be equal to exports?) By how much must we cut government spending to balance the current account? (Hint: Use your answer to the first part of this question to determine how much of a decrease in income is needed. Then use the multiplier to calculate the decrease in G needed to reduce income by that amount.)