Suppose that the economy is characterized by the following behavioural equations:

Macroeconomics: Private and Public Choice (MindTap Course List)
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Chapter10: Dynamic Change, Economic Fluctuations, And The Ad-as Model
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Question 1 Aggregate Demand and Aggregate Supply
Suppose that the economy is characterized by the following
behavioural equations:
C = 800 + 0.8 (Y – T)
I = 150 + 0.1 Y – 1000 i
G = 210
Consumption:
Real investment:
Government spending:
Tax revenue:
T
200 + 0.5Y
i = in + 0.5 (n – n")
0.5
Central bank policy:
%3D
Aggregate supply (AS) relation: 1= n° + (Y – Y,)
The neutral rate of interest is i,-0.05, the inflation target of the
central bank is n=0.05, the natural level of output is Y, = 1900,
the labour force is L=2000, and the current expected value of
inflation is T=0.10.
a) Derive the IS relation, and draw it in {i, Y} space. Explain its
meaning in words.
(Hint: solve for an equation with i on the left-hand side
use
the parameter numbers given above).
b) Substitute the central bank policy relation into the real
investment relation, and then derive the AD relation and draw it
in {7, Y} space. Explain its meaning in words.
(Hint: solve for an equation with m on the left-hand side
use
the parameter numbers given above).
c) Using the AS and AD relations, solve for the current short-run
equilibrium inflation rate, 7, and output, Y. Are these short-run
equilibrium values greater or less than their medium-run values?
d) Solve for the short-run equilibrium interest rate, i.
e) Calculate the medium-run equilibrium values of real investment,
and consumption, C. Confirm that Y, - C+I+G in the medium run.
I,
Transcribed Image Text:Question 1 Aggregate Demand and Aggregate Supply Suppose that the economy is characterized by the following behavioural equations: C = 800 + 0.8 (Y – T) I = 150 + 0.1 Y – 1000 i G = 210 Consumption: Real investment: Government spending: Tax revenue: T 200 + 0.5Y i = in + 0.5 (n – n") 0.5 Central bank policy: %3D Aggregate supply (AS) relation: 1= n° + (Y – Y,) The neutral rate of interest is i,-0.05, the inflation target of the central bank is n=0.05, the natural level of output is Y, = 1900, the labour force is L=2000, and the current expected value of inflation is T=0.10. a) Derive the IS relation, and draw it in {i, Y} space. Explain its meaning in words. (Hint: solve for an equation with i on the left-hand side use the parameter numbers given above). b) Substitute the central bank policy relation into the real investment relation, and then derive the AD relation and draw it in {7, Y} space. Explain its meaning in words. (Hint: solve for an equation with m on the left-hand side use the parameter numbers given above). c) Using the AS and AD relations, solve for the current short-run equilibrium inflation rate, 7, and output, Y. Are these short-run equilibrium values greater or less than their medium-run values? d) Solve for the short-run equilibrium interest rate, i. e) Calculate the medium-run equilibrium values of real investment, and consumption, C. Confirm that Y, - C+I+G in the medium run. I,
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