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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A discrete-time version of the Solow model. Suppose Yt = F (Kt,AtLt), with F (•) having constant returns to scale and the intensive form of the production function satisfying the Inada conditions. Suppose also that
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a) Find an expression for kt +1 as a function of kt.
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(b) Sketch kt +1 as a function of kt. Does the economy have a balanced growth path? If the initial level of k differs from the value on the balanced growth path, does the economy converge to the balanced growth path?
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(c) Find an expression for consumption per unit of effective labor on the balanced growth path as a function of the balanced-growth-path value of k. What is the marginal product of capital, f (k), when k maximizes consumption per unit of effective labor on the balanced growth path?
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(d) Assume that the production function is Cobb–Douglas.

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