1. Suppose that the production fun ction of an economy is characterized by the following Cobb-Douglas production technology Y = Ka L1, where Y is the aggregate output, K is the capital stock, L is the...


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1. Suppose that the production fun ction of an economy is characterized by the following<br>Cobb-Douglas production technology Y = Ka L1, where Y is the aggregate output, K<br>is the capital stock, L is the labor and 0< a <1.<br>a Assuming dos ed economy with no govemment, labor grow th rate being constant<br>(9.) and depreciation rate is positive 6 > 0, show the step-by-s tep derivation of<br>the fundamental equation of growth (using per worker capital, k). Hint: First<br>derive per worker production function.<br>b Find the steady-state values of capital per labor (k.), output per labor<br>. and consumption per labor (c). Hint: use the fact k= 0.<br>e What would be the effect of changes in s, gs and a on kf<br>

Extracted text: 1. Suppose that the production fun ction of an economy is characterized by the following Cobb-Douglas production technology Y = Ka L1, where Y is the aggregate output, K is the capital stock, L is the labor and 0< a=""><1. a="" assuming="" dos="" ed="" economy="" with="" no="" govemment,="" labor="" grow="" th="" rate="" being="" constant="" (9.)="" and="" depreciation="" rate="" is="" positive="" 6=""> 0, show the step-by-s tep derivation of the fundamental equation of growth (using per worker capital, k). Hint: First derive per worker production function. b Find the steady-state values of capital per labor (k.), output per labor . and consumption per labor (c). Hint: use the fact k= 0. e What would be the effect of changes in s, gs and a on kf

Jun 11, 2022
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