In the Solow model, if the output per effective worker function y=, the population growth at a 2% rate, the labour efficiency growth at a 1.5% rate, which of the following is the growth rate of output per worker at steady state?
Question
In the Solow model, if the output per effective worker function y=, the population growth at a 2% rate, the labour efficiency growth at a 1.5% rate, which of the following is the growth rate of output per worker at steady state?
Solution
In the Solow model, the growth rate of output per worker at the steady state is equal to the growth rate of labor efficiency.
This is because in the steady state, the capital per effective worker (k) is constant. Therefore, the output per worker (Y/L) grows at the same rate as labor efficiency.
Given that the labor efficiency growth rate is 1.5%, the growth rate of output per worker at the steady state is also 1.5%.
Please note that the population growth rate does not directly affect the growth rate of output per worker at the steady state in the Solow model.
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