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Chapter 9: Modeling Growth, Yield, and Site Index
WebThe (deterministic) neoclassical growth model max fctg1 t=1 X1 t=1 t 1 c 1 ˙ t 1 ˙ s.t. c t + k t = A tk t 1 + (1 )k t 1 First order conditions: c ˙ t = c ˙ +1 A t+1k 1 t + 1 c t + k t = A tk t 1 + (1 )k t 1 Steady state: k = 1 (1 ) A 1 1 c = A k k Note the absence of stochastic elements! No expectancy term, no probability distribution Webtreat it as a deterministic problem and then substitute E tX t+i for X t+i. Justi cation? Suppose G (x) = XN k=1 p kF (a k;x) This is maximized by setting G0(x) = XN k=1 p kF 0(a k;x) = E ... the model to have a stable growth path solution. The Keynes-Ramsey condition becomes C t= E C +1R And the condition for optimal hours worked becomes cummins isx ac idler pulley
9.4 Stochastic and deterministic trends Forecasting: …
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