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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
Consider the model in Problem 4.5.

Problem 5
(This follows Mania, D. Roomer, and Weil, 1992.) Suppose output is given by

(a) Derive an expression for y(t) in terms of k(t) and h(t) and the parameters of the model.
(b) Derive an expression for k Ë™(t) in terms of k(t) and h(t) and the parameters of the model. In (k,h) space, sketch the set of points where k Ë™ = 0.
(c) Derive an expression for hË™(t) in terms of k(t) and h(t) and the parameters of the model. In (k,h) space, sketch the set of points where hË™ = 0.
(d) Does the economy converge to a balanced growth path? Why or why not? If so, what is the growth rate of output per worker on the balanced growth path? If not, in general terms what is the behavior of output per worker over time?
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