03 Jun Question Part 1: AE problem 60 Points total
Question
Part 1: AE problem 60 Points total
Suppose the initial conditions of the economy are characterized by the following equations in black font.
We then shock the economy as shown in the red font.
1) C = a0 + a1 (Y-T) + a2 (WSM) + a3 (WRE) + a4 (CC) + a5 (r)
1) C = a0 + a1 (Y-200) + a2 (10,000) + a3 (15,000) + a4 (120) + a5 (4)
1′) C = a0 + a1 (Y-200) + a2 (12,000) + a3 (15,000) + a4 (160) + a5 (4)
2) I = b0 + b1AS + b2CF + b3 (r)
2) I = b0 + b1 (140) + b2 (1500) + b3 (4)
2) I = b0 + b1 (180) + b2 (2000) + b3 (4)
3) G = G
3) G = 200
4) X-M = X-M
4) X-M = -200
4) X-M = -400
5) AE = C + I + G + X-M
Where: a0 = 50, a1 = .60, a2 = .05, a3 = .10, a4 = .5, a5 = -400, b0 = 100, b1 = .5, b2 = .2, b3 = -50
a) (20 points total 5 points for expression and 15 points for correct and completely labeled
diagram). Given the initial conditions, find expression for consumption function and provide a
completely labeled diagram. Please show all work.
b) (20 points total 5 points for expression and 15 points for correct and completely labeled
diagram). Given the initial conditions, find an expression for the aggregate expenditure curve (AE
in terms of Y), solve for equilibrium output and provide a graph of this aggregate expenditure
curve labeling this initial equilibrium as point A. Please add point A to your consumption
function diagram, being sure to label this point completely. Please show all work.
c) (10 points) We now incur shocks as provided in red font. Solve for a new expression of the
consumption function and aggregate expenditure curve, solve for the new equilibrium output and
add this new equilibrium point to both of your diagrams (label as point B). Please show all work.
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