Problem 3: IS-LM model An economy is initially described by the following equations: C=500+0.75(Y- T) I=1,000-50r МP-Y-200R G=1,000 T=1,000 м-6,000 P=2 a. Derive and graph the IS curve and the LM curve. Calculate the equilibrium interest rerate and income. Label that point A on your graph. b. Suppose a newly elected government cuts taxes by 20 percent. Assuming that the money supply is held constant, what are the new equilibrium interest rate and income? What is the tax multiplier? c. Now assume that the central bank adjusts the money supply to hold the interest rate constant. What is the new equilibrium income? What must the new money supply be? What is the tax multiplier? d. Now assume that the central bank adjusts the money supply to hold income constant. What is the new equilibrium interest rate? What must the money supply

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Problem 3: IS-LM model
An economy is initially described by the following equations:
C=500+0.75(Y-
T) I=1,000-50r
M/P=Y-200R
G=1,000
T=1,000
M=6,000
P=2
a. Derive and graph the IS curve and the LM curve. Calculate the equilibrium
interest rerate and income. Label that point A on your graph.
b. Suppose a newly elected government cuts taxes by 20 percent. Assuming that the
money supply is held constant, what are the new equilibrium interest rate and
income? What is the tax multiplier?
c. Now assume that the central bank adjusts the money supply to hold the interest
rate constant. What is the new equilibrium income? What must the new money
supply be? What is the tax multiplier?
d. Now assume that the central bank adjusts the money supply to hold income
constant. What is the new equilibrium interest rate? What must the money supply
be? What is the tax multiplier?
e. Show the equilibria you calculated in parts (b), (c), and (d) on the graph you drew
in part (a). Label them points B, C, and D.
Transcribed Image Text:Problem 3: IS-LM model An economy is initially described by the following equations: C=500+0.75(Y- T) I=1,000-50r M/P=Y-200R G=1,000 T=1,000 M=6,000 P=2 a. Derive and graph the IS curve and the LM curve. Calculate the equilibrium interest rerate and income. Label that point A on your graph. b. Suppose a newly elected government cuts taxes by 20 percent. Assuming that the money supply is held constant, what are the new equilibrium interest rate and income? What is the tax multiplier? c. Now assume that the central bank adjusts the money supply to hold the interest rate constant. What is the new equilibrium income? What must the new money supply be? What is the tax multiplier? d. Now assume that the central bank adjusts the money supply to hold income constant. What is the new equilibrium interest rate? What must the money supply be? What is the tax multiplier? e. Show the equilibria you calculated in parts (b), (c), and (d) on the graph you drew in part (a). Label them points B, C, and D.
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