Economic Growth II – Work It Out Question 1 An economy has a Cobb–Douglas production function: Y = Kª(LE)'-a The economy has a capital share of 0.20, a saving rate of 41 percent, a depreciation rate of 3.50 percent, a rate of population growth of 6.25 percent, and a rate of labor- augmenting technological change of 2.0 percent. It is in steady state.

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Economic Growth II – Work It Out Question 1
a. At what rates do total output and output per worker
grow?
An economy has a Cobb–Douglas production function:
Y = K"(LE)'-a
Total output growth rate:
%
The economy has a capital share of 0.20, a saving rate of 41
percent, a depreciation rate of 3.50 percent, a rate of
population growth of 6.25 percent, and a rate of labor-
augmenting technological change of 2.0 percent. It is in
Output per worker growth rate:
%
steady state.
Output per effective worker
declines in the steady state.
increases in the steady state.
is constant in the steady state and does not change.
Transcribed Image Text:Economic Growth II – Work It Out Question 1 a. At what rates do total output and output per worker grow? An economy has a Cobb–Douglas production function: Y = K"(LE)'-a Total output growth rate: % The economy has a capital share of 0.20, a saving rate of 41 percent, a depreciation rate of 3.50 percent, a rate of population growth of 6.25 percent, and a rate of labor- augmenting technological change of 2.0 percent. It is in Output per worker growth rate: % steady state. Output per effective worker declines in the steady state. increases in the steady state. is constant in the steady state and does not change.
Economic Growth II – Work It Out Question 1
b. Solve for capital per effective worker (k*), output per
effective worker (y*), and the marginal product of capital.
An economy has a Cobb-Douglas production function:
Y = K"(LE)!-«
1-a
k*
The economy has a capital share of 0.20, a saving rate of 41
percent, a depreciation rate of 3.50 percent, a rate of
population growth of 6.25 percent, and a rate of labor-
augmenting technological change of 2.0 percent. It is in
y*
steady state.
marginal product of capital
Transcribed Image Text:Economic Growth II – Work It Out Question 1 b. Solve for capital per effective worker (k*), output per effective worker (y*), and the marginal product of capital. An economy has a Cobb-Douglas production function: Y = K"(LE)!-« 1-a k* The economy has a capital share of 0.20, a saving rate of 41 percent, a depreciation rate of 3.50 percent, a rate of population growth of 6.25 percent, and a rate of labor- augmenting technological change of 2.0 percent. It is in y* steady state. marginal product of capital
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