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)

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Chapter1: Making Economics Decisions
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(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?
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)
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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