Suppose that the Canadian economy is governed by the following equations Y = Y, - a(r -p)+e; T: = i- E17+1 T = E-1T +(Y - Y1) + vt E1T+1 = T i = T +p+0(7 – n)+by (Yt - Y;) (1) (2) (4) (5) Since the coefficient is negative, more sensitive implies a coefficient less than-80 (e.g.,-90,-100, etc). Recall that the sacrifice ratio is computed by dividing the output lost by the amount of disinflation. (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.

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  • Please help me out with solving for the long run equilibrium for the dynamic Ad-As model. Graph the impact of the demand shock and explain. Thanks!
3. A Dynamic AD-AS Model of the Canadian Economy
Suppose that the Canadian economy is governed by the following equations
Y = Y - a(r -p) + €;
YI = i-E+1
T = E1-17 +(Y- Yt)+v
E1T+1 = T
i = 7 +p+0(7 - n)+Oy(Y- Ý;)
(1)
(2)
(3)
(4)
(5)
Since the coefficient is negative, more sensitive implies a coefficient less than -80 (e.g.,-90, -100, etc).
2Recall that the sacrifice ratio is computed by dividing the output lost by the amount of disinflation.
(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
iį = T; +p +0r(7: – 7)+ Oy(Y; – Ýt)
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 07 < 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:3. A Dynamic AD-AS Model of the Canadian Economy Suppose that the Canadian economy is governed by the following equations Y = Y - a(r -p) + €; YI = i-E+1 T = E1-17 +(Y- Yt)+v E1T+1 = T i = 7 +p+0(7 - n)+Oy(Y- Ý;) (1) (2) (3) (4) (5) Since the coefficient is negative, more sensitive implies a coefficient less than -80 (e.g.,-90, -100, etc). 2Recall that the sacrifice ratio is computed by dividing the output lost by the amount of disinflation. (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 iį = T; +p +0r(7: – 7)+ Oy(Y; – Ýt) 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 07 < 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?
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