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Use the theory behind the IS and LM curve London has a closed economy with the following information Y = C+I+G C = 98 + 0
Use the theory behind the IS and LM curve London has a closed economy with the following information Y = C+I+G C = 98 + 0.6(Y – T) I = 130 – 10r G = T = 30 m = Y – 15r MS = $600 P= 1.5 With this information, derive the IS curve, and with the important equation the LM curve Calculate the equilibrium level of income and the equilibrium interest rate With a graph, showcase what would happen in the IS-MP model in the short run to the interest rate and income if taxes increase as a result of rising debt and monetary policy targeting economic growth
Expert Solution
We are provided with the following informations:
C = 98+0.6(Y-T)
I = 130 -10r
G = T = 30
Md/ P = Y -15r
Ms = 600
P = 1.5
The eqiuilibrium in the goods market is given as:
Y = C +I +G
Putting the given values, the equation becomes,
Y = 98+0.6(Y-30) + 130 -10r + 30
Y = 240 + 0.6Y -10r
0.4Y = 240 -10r
Y = 600 - 4r.......(i)
This is the equation of the IS curve.
The equilibrium in the money market is given as:
Money demand = Money supply [ Md = Ms]
Md/ P = Y -15r
Md = 1.5Y - 22.5r
Putting the values, the equilibrium condition becomes,
1.5Y - 22.5r = 600
Y = 15r +40......(ii)
Solving equations (i) and (ii)
600 - 4r = 15r +40
19r = 560
r = 29.4%
Thus, Y = 481
The equilibrium rate of interest is 29.4% and the equilibrium income is 481.
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