Assume the following model of the economy: Y = C + I + G C = 120 + 0.5(Y - T) I = 100 - 10r G = 50 T = 40 Md = Y - 20 r Ms = 600 P = 2   Derive the equation for the IS curve, showing Y as a function of r alone. Derive the equation for the LM curve, showing Y as a function of r alone. Solve for C, I and S

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter10: Income And Expenditures Equilibrium
Section: Chapter Questions
Problem 17E
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Assume the following model of the economy:

Y = C + I + G

C = 120 + 0.5(Y - T)

I = 100 - 10r

G = 50

T = 40

Md = Y - 20 r

Ms = 600

P = 2

 

  1. Derive the equation for the IS curve, showing Y as a function of r alone.
  2. Derive the equation for the LM curve, showing Y as a function of r alone.
  3. Solve for C, I and S
  4.  
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