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
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
Chapter9: Demand-side Equilibrium: Unemployment Or Inflation?
Section9.A: The Simple Algebra Of Income Determination And The Multiplier
Problem 5TY
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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
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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