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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A simplified real-business-cycle model with additive technology shocks. (This follows Blanchard and Fischer, 1989, pp. 329–331.) Consider an economy consisting of a constant population of infinitely lived individuals. The representative individual maximizes the expected value of
ρ > 0. The instantaneous utility function,
Assume that C is always in the range where u
(C) is positive.

(a) Find the first-order condition (Euler equation) relating Ct and expectations of Ct+1.
(b) Guess that consumption takes the form Ct = α + βKt + γ et. Given this guess, what is Kt +1 as a function of Kt and et?
(c) What values must the parameters α, β, and γ have for the first-order condition in part (a) to be satisfied for all values of Kt and et?
(d) What are the effects of a one-time shock to ε on the paths of Y, K, and C?
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