The private consumption of Macroland is given by C=500+0.75Y and the private investment function is given by I=400−1000r, where r is the interest rate and Y is the GDP. The planned aggregate expenditure can therefore be written as PE=C+I=900+0.75Y−1000r. The equilibrium in the goods and services market happens when the planned expenditure is equal to the actual expenditure, or PE=Y Find the equilibrium GDP by solving the system of equations PE=900+0.75Y-1000r PE= Y for Y and PE. Note your solution

MACROECONOMICS
14th Edition
ISBN:9781337794985
Author:Baumol
Publisher:Baumol
Chapter9: Demand-side Equilibrium: Unemployment Or Inflation?
Section9.A: The Simple Algebra Of Income Determination And The Multiplier
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The private consumption of Macroland is given by C=500+0.75Y and the private investment function is given by I=400−1000r, where r is the interest rate and Y is the GDP. The planned aggregate expenditure can therefore be written as PE=C+I=900+0.75Y−1000r.

The equilibrium in the goods and services market happens when the planned expenditure is equal to the actual expenditure, or PE=Y

Find the equilibrium GDP by solving the system of equations

PE=900+0.75Y-1000r

PE= Y

for Y and PE. Note your solutions will depend on r!

1. Plot your solution for Y in a diagram measuring Y on the horizontal axis and r on the vertical axis.

This curve is called the IS curve

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