there any scope in this model for the policy authorities to influence the output through systematic stabilisation policy? Explain your answer.

MACROECONOMICS FOR TODAY
10th Edition
ISBN:9781337613057
Author:Tucker
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Chapter16: Monetary Policy
Section16.A: Policy Disputes Using The Self Correcting Aggregate Demand And Supply Model
Problem 4SQP
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B. Consider the following model where the monetary policy will be the only policy variable
affecting demand for output. For expositional purposes the income velocity of money is
held constant. With these assumptions the aggregate demand for output can be written
in logs as:
mt + v = Pt+ Yt
The above equation is the equation of exchange in logs (equation that addresses the
relationship between money and price level, and between money and nominal GDP. The
equation tells us that total spending (M x V) is equal to total sales revenue (P x Y)).
To complete the model we need to add the aggregate supply equation and a money
supply rule.
yt = y'+ a(pt - Et-1pt1)
(2)
mt = Byt-1+Et
(3)
Given that agents form expectations rationally, find a solution for (i) yt and (ii) pt. Is
there any scope in this model for the policy authorities to influence the output through
systematic stabilisation policy? Explain your answer.
Transcribed Image Text:B. Consider the following model where the monetary policy will be the only policy variable affecting demand for output. For expositional purposes the income velocity of money is held constant. With these assumptions the aggregate demand for output can be written in logs as: mt + v = Pt+ Yt The above equation is the equation of exchange in logs (equation that addresses the relationship between money and price level, and between money and nominal GDP. The equation tells us that total spending (M x V) is equal to total sales revenue (P x Y)). To complete the model we need to add the aggregate supply equation and a money supply rule. yt = y'+ a(pt - Et-1pt1) (2) mt = Byt-1+Et (3) Given that agents form expectations rationally, find a solution for (i) yt and (ii) pt. Is there any scope in this model for the policy authorities to influence the output through systematic stabilisation policy? Explain your answer.
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