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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.
(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?
(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?
(d) Assume that the production function is Cobb–Douglas.

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