Consider the following aggregate demand and supply relations and the monetary policy rule. yt= β0 + β1(mt -pt) + ωt     (AD)           yt= yn + α (pt -Et-1pt) + νt (AS) mt= μ0 + μ1mt-1 + et   (MP) The random term for AD has the moving average form ωt =ξt+ρξt-1, where ξt, et, andνt are white noise terms. Derive a solution for ptand yt.Interpret your solution for pt, using directly your solution for it and your expectations regarding the signs of the AD, AS and MP parameters.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter19: Externalities And Public Goods
Section: Chapter Questions
Problem 19.12P
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Consider the following aggregate demand and supply relations and the monetary policy rule.

yt= β0 + β1(mt -pt) + ωt     (AD)          

yt= yn + α (pt -Et-1pt) + νt (AS)

mt= μ0 + μ1mt-1 + et   (MP)

The random term for AD has the moving average form

ωt =ξt+ρξt-1,

where ξt, et, andνt are white noise terms.

Derive a solution for ptand yt.Interpret your solution for pt, using directly your solution for it and your expectations regarding the signs of the ADAS and MP parameters.

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