Question 2. AD-AS Analysis with an Alternative Policy Rule. This question will have you derive a version of the aggregate demand curve under alternative assumptions about how the Fed conducts policy. Assume that the IS curve assumes the usual form: Y = C-mpc x T +Ī+Ģ 1 mpc 1 d mpc xr, where Y is output, r is the real interest rate, and the remaining parameters utilize the same notion that we used in class. Suppose that the Fed's actions are summarized by the following monetary policy curve: r=r+ax (Y – YP) + λ × π,

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Question 2. AD-AS Analysis with an Alternative Policy Rule. This question
will have you derive a version of the aggregate demand curve under alternative
assumptions about how the Fed conducts policy.
Assume that the IS curve assumes the usual form:
Y =
С − mpc × T +Ī+Ğ
1 - mpc
1
d.
mpc
XP,
where Y is output, r
is the real interest rate, and the remaining parameters utilize
the same notion that we used in class. Suppose that the Fed's actions are summarized
by the following monetary policy curve:
r=r+ax (Y−YP) + X XT,
Transcribed Image Text:Question 2. AD-AS Analysis with an Alternative Policy Rule. This question will have you derive a version of the aggregate demand curve under alternative assumptions about how the Fed conducts policy. Assume that the IS curve assumes the usual form: Y = С − mpc × T +Ī+Ğ 1 - mpc 1 d. mpc XP, where Y is output, r is the real interest rate, and the remaining parameters utilize the same notion that we used in class. Suppose that the Fed's actions are summarized by the following monetary policy curve: r=r+ax (Y−YP) + X XT,
where YP is potential output, π is the inflation rate, and is the autonomous
component of monetary policy. Assume that the short-run aggergate supply curve
assumes the usual form:
π = π² + y(Y - Yº) + p,
where is expected inflation, and p is an inflationary shock.
a) Why would the output gap enter into the Fed's moetary policy rule?
Would you expect a to be positive or negative, why? How would you interpret
a and λ?
b) Combine the IS curve and the monetary policy curve to obtain an
aggregate demand curve. That is, express output Y as a function of inflation
T. (This expression will also contain the exogenous quantities C, I, G,T,
and T as well as potential output Yº and the parameters mpc, d, a and
"
"
lambda .)
c) How does a affect the sensitivity of Y to changes in π ? If π
increases by one, then by how much does Y change?
d) Suppose that the aggregate demand curve and the aggregate supply
curve intersect at a value of Y that's greater than Yº. What curve (or
curves) shift to return the economy to a long-run equilibrium, and why? Draw
a graph of aggregate demand and aggregate supply to show how the economy
adjusts. What happens to inflation and output?
Transcribed Image Text:where YP is potential output, π is the inflation rate, and is the autonomous component of monetary policy. Assume that the short-run aggergate supply curve assumes the usual form: π = π² + y(Y - Yº) + p, where is expected inflation, and p is an inflationary shock. a) Why would the output gap enter into the Fed's moetary policy rule? Would you expect a to be positive or negative, why? How would you interpret a and λ? b) Combine the IS curve and the monetary policy curve to obtain an aggregate demand curve. That is, express output Y as a function of inflation T. (This expression will also contain the exogenous quantities C, I, G,T, and T as well as potential output Yº and the parameters mpc, d, a and " " lambda .) c) How does a affect the sensitivity of Y to changes in π ? If π increases by one, then by how much does Y change? d) Suppose that the aggregate demand curve and the aggregate supply curve intersect at a value of Y that's greater than Yº. What curve (or curves) shift to return the economy to a long-run equilibrium, and why? Draw a graph of aggregate demand and aggregate supply to show how the economy adjusts. What happens to inflation and output?
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