Suppose that the Canadian economy is governed by the following equations Y₁ = Yt - a(rt-p) + Et rt = it - Etπt+1 Tut = Et_17 +¢(Y –Y) +ot Et7+1 = T 0 (X VI (1) (2) (3) (4)
Suppose that the Canadian economy is governed by the following equations Y₁ = Yt - a(rt-p) + Et rt = it - Etπt+1 Tut = Et_17 +¢(Y –Y) +ot Et7+1 = T 0 (X VI (1) (2) (3) (4)
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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SOlve them all this is my last chance
![(a) Derive the long-run equilibrium for the dynamic AD-AS model. Assume there are
no shocks to demand or supply and that inflation has stabilized.
(b) Now suppose that monetary-policy has the following rule
i; = Tt +p+ 0z(Tt – T}) + By (Yt – Y;)
where p is greater than p, implying monetary policymakers overestimate the natu-
ral rate of interest. The rest of the model is the same. Solve for the long-run equi-
librium under this case. Compare your long-run equilibrium to the one obtained in
(a)
(c) Suppose that the central bank follows the rule used in (a), but does not satisfy the
Taylor Principle so that 0, < 0. Use a graph to analyze the impact of a demand
shock. Does this analysis contradict the Taylor Principle as a guideline for monetary
policy?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F717c41c9-7610-4369-a9d8-d14d52c86513%2F70fe2be9-bab6-4dbe-80b7-4482321dccfd%2Fpw3nuqj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Derive the long-run equilibrium for the dynamic AD-AS model. Assume there are
no shocks to demand or supply and that inflation has stabilized.
(b) Now suppose that monetary-policy has the following rule
i; = Tt +p+ 0z(Tt – T}) + By (Yt – Y;)
where p is greater than p, implying monetary policymakers overestimate the natu-
ral rate of interest. The rest of the model is the same. Solve for the long-run equi-
librium under this case. Compare your long-run equilibrium to the one obtained in
(a)
(c) Suppose that the central bank follows the rule used in (a), but does not satisfy the
Taylor Principle so that 0, < 0. Use a graph to analyze the impact of a demand
shock. Does this analysis contradict the Taylor Principle as a guideline for monetary
policy?
![Suppose that the Canadian economy is governed by the following equations
Y; = Y; – «(rt – p) + €;
ri = i – EtTt+1
T; = Et-1T; + ¢(Y; – Ýt) + v;
(1)
(2)
(3)
E+T+1 = Tt
(4)
i = T; +p+07(T: – Tỷ ) + Oy(Yt – Y;)
(5)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F717c41c9-7610-4369-a9d8-d14d52c86513%2F70fe2be9-bab6-4dbe-80b7-4482321dccfd%2Foqcwqw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Suppose that the Canadian economy is governed by the following equations
Y; = Y; – «(rt – p) + €;
ri = i – EtTt+1
T; = Et-1T; + ¢(Y; – Ýt) + v;
(1)
(2)
(3)
E+T+1 = Tt
(4)
i = T; +p+07(T: – Tỷ ) + Oy(Yt – Y;)
(5)
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