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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

Economics Dec 06, 2020

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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