Question 3. Assume the following model of the economy, with the price level fixed at 1: C= 0.8(Y – T) I= 800 – 20r T=1,000 G= 1,000 MC/P = M/P = 0,4Y – 40r Y =C+1+G M = 1,200

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Question 3. Assume the following model of the economy, with the price level fixed at 1:
C= 0.8(Y – T)
T=1,000
G= 1,000
MIP = M/P = 0.4Y – 40r
I= 800 – 20r
Y= C+I+G
M = 1,200
Write a numerical formula for the IS curve, showing Y as a function of r alone.
(Hint: Substitute out C, I, G, and T.)
Write a numerical formula for the LM curve, showing Y as a function of r alone.
(Hint: Substitute out M/P.)
What are the short-run equilibrium values of Y, r, Y-T, C, I, private saving, public
saving, and national saving?
Assume that G increases by 200. By how much will Y increase in short- run
equilibrium? What is the government-purchases multiplier (the change in Y
divided by the change in G)?
a.
b.
с.
d.
Transcribed Image Text:Question 3. Assume the following model of the economy, with the price level fixed at 1: C= 0.8(Y – T) T=1,000 G= 1,000 MIP = M/P = 0.4Y – 40r I= 800 – 20r Y= C+I+G M = 1,200 Write a numerical formula for the IS curve, showing Y as a function of r alone. (Hint: Substitute out C, I, G, and T.) Write a numerical formula for the LM curve, showing Y as a function of r alone. (Hint: Substitute out M/P.) What are the short-run equilibrium values of Y, r, Y-T, C, I, private saving, public saving, and national saving? Assume that G increases by 200. By how much will Y increase in short- run equilibrium? What is the government-purchases multiplier (the change in Y divided by the change in G)? a. b. с. d.
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