(Advanced Analysis) Assume that the consumption schedule for a private open econ

Question

(Advanced Analysis) Assume that the consumption schedule for a private open economy is such that consumption is as follows:
C = 50 + 0.9 Y

Assume further that planned investment Ig and net exports Xn are independent of the level of real GDP and constant at:
Ig = 30
Xn = 10
Recall also that, in equilibrium, the real output produced (Y) is equal to aggregate expenditures: Y = C + Ig + Xn.

a. What is the equilibrium level of income or real GDP for this economy? $

b. What happens to equilibrium Y if Ig changes to 10 ? Y = $

What does this outcome reveal about the size of the multiplier?

The multiplier =

Explanation / Answer

1. substitute c into the equation along with the other variables Y=C+Ig+Xn Y = 50+0.8Y + 30 +10 Y = 90 + 0.8Y Y(1-0.8) = 90 Y = 90/0.2 = 450 2. If Ig changes to 10, the 90 in the numerator goes down to 70 i.e. Y = 350 and the whole thing goes down by 20/0.2 = 100. the size of the multiplier changes whatever is on top by 5 times (i.e. 1/0.2 = 5)

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