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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider a continuous-time version of the Mankiw–Reis model. Opportunities to review pricing policies follow a Poisson process with arrival rate α > 0. Thus the probability that a price path set at time t is still being followed at time t+i is e−αi . The other assumptions of the model are the same as before.
(a) Show that the expression analogous to (7.81) is a(i)
Â
(b) Consider the experiment of a permanent fall in the growth rate of aggregate demand discussed in Section 7.7. That is, until t = 0, all firms expect m(t) = gt (where g > 0); thereafter, they expect m(t) = 0.
(i) Find the expression analogous to (7.83).
(ii) Find an expression for inflation, p˙(t), for t ≥ 0. Is inflation ever negative during the transition to the new steady state?
(iii) Suppose φ= 1. When does output reach its lowest level? When does inflation reach its lowest level?


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