Chapter 32 Appendix
32A-6
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First, we note that the change in output is an increase of $100 (Q2 – Q1 = $500 – $400).
Second, given the MPC is 0.75 the multiplier is 4 (= 1 / (1-MPC) = 1 / (1-0.75) = 1 / 0.25
= 4).
Thus, the AE curve must increase by $25 since the total decrease in output is $100.
To see this, note that an increase in AE by $25 with a multiplier of 4 is $100 (= 4 x $25).
Change in real GDP = multiplier x change in AE
Rearranging this equation,
Change in AE = change in real GDP/multiplier
Using the values above, the change in AE equals $100/4 = $25.
Given the multiplier, what must be the distance between AD1 and the broken line to its
right at P1?
This distance is the initial shift following the increase in expenditure by $25 (the shift in
the AE curve). Thus, the answer is $25 (this is before the multiplier process works its
way through the economy).