B) decrease
C) first increase and then decrease
D) first decrease and then increase
Assume the following model of the economy, with the price level fixed at 0:
C = 0.8(Y ” T) T = 1,000
I = 800 ” 20r G = 1,000
Y = C + I + G Ms/P = Md/P = 0.4Y ” 40r
Ms = 1,200
a. Write a numerical formula for the IS curve, showing Y as a function of r alone. (Hint:
Substitute out C, I, G, and T.)
b. Write a numerical formula for the LM curve, showing Y as a function of r alone.
(Hint: Substitute out M/P.)
c. What are the short-run equilibrium values of Y, r, Y ” T, C, I, private saving, public
saving, and national saving? Check by ensuring that C + I + G = Y and national saving
equals I.
d. 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)?
e. Assume that G is back at its original level of 1,000, but Ms (the money supply)
increases by 200. By how much will Y increase in short-run equilibrium? What is the
multiplier for money supply (the change in Y divided by the change in Ms)?