Consider the following model, characterized by an IS curve Yt=Zt-btrt, 1

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Chapter1: Making Economics Decisions
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Consider the following model, characterized by an IS curve
an inflation equation,
Yt = 2t - btrt,
1
Tt = Tt1 trệt
and a modified interest rate rule that has the Fed respond to both inflation and output:
rt = m(πt - Ft) + nyt
1. Derive the AD curve in this economy: an expression relating the amount of output consumers
demand as a function of interest rates in the economy.
2. Draw the AD curve for an aggressive Fed (high n) and another one for a passive Fed (low n)
in the same diagram.
3. Show how output and inflation respond over time to a negative demand shock at as a function
of how aggressive the Fed is. Use both AD-AS diagrams (one for each Fed type) and also
plot the time paths of output and inflation.
Transcribed Image Text:Consider the following model, characterized by an IS curve an inflation equation, Yt = 2t - btrt, 1 Tt = Tt1 trệt and a modified interest rate rule that has the Fed respond to both inflation and output: rt = m(πt - Ft) + nyt 1. Derive the AD curve in this economy: an expression relating the amount of output consumers demand as a function of interest rates in the economy. 2. Draw the AD curve for an aggressive Fed (high n) and another one for a passive Fed (low n) in the same diagram. 3. Show how output and inflation respond over time to a negative demand shock at as a function of how aggressive the Fed is. Use both AD-AS diagrams (one for each Fed type) and also plot the time paths of output and inflation.
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