Unformatted text preview: I = ˙ K + δ K S = sY ˙ K + δ K = sY K (0) = K Now differentiate the variable k with respect to time, i.e., derive dk / dt , dk dt = ˙ k = L dK dt − K dL dt L 2 ˙ k = ± 1 L ² dK dt − ± K L ²± 1 L ² dL dt = ± K L ²± 1 K ² dK dt − ± K L ²± 1 L ² dL dt = k ± ˙ K K − ˙ L L ² But ˙ K K = sY − δ K K = sY L ± L K ² − δ = sf ( k ) k − δ and ˙ L L = nL L = n Hence ˙ k = sf ( k ) − δ k − nk = sf ( k ) − ( n + δ ) k (2.11)...
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 Fall '11
 Dr.Gwartney
 Economics, Trigraph, Capital accumulation, dt, SY L

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