In an closed economy with production function , the national saving rate is 15%, capital depreciation is 5%, population growth rate is 3%, assume labor growth rate is equal to population growth rate, and technology growth rate equal to 2%. What is the growth rate of output per real labor at Steady State level?
Question
In an closed economy with production function , the national saving rate is 15%, capital depreciation is 5%, population growth rate is 3%, assume labor growth rate is equal to population growth rate, and technology growth rate equal to 2%. What is the growth rate of output per real labor at Steady State level?
Solution 1
The question is asking for the growth rate of output per real labor at the steady state level in a closed economy with a given set of parameters.
In the Solow growth model, the steady state growth rate of output per worker is equal to the rate of technological progress. This is because in the long run, increases in capital per worker due to saving and investment are offset by decreases in capital per worker due to depreciation and population growth. Therefore, the only source of long-run growth in output per worker is technological progress.
Given that the technology growth rate is 2%, the growth rate of output per real labor at the steady state level is also 2%.
Solution 2
In the Solow growth model, the growth rate of output per effective worker in the steady state is equal to the rate of technological progress. This is because in the steady state, the capital stock per effective worker and output per effective worker are constant, so any growth in output per worker must come from technological progress.
Given that the technology growth rate is 2%, the growth rate of output per real labor (effective worker) at the steady state level is also 2%.
Please note that the national saving rate, capital depreciation, and population growth rate do not directly affect the growth rate of output per effective worker in the steady state in the Solow model. These parameters determine the level of output per effective worker in the steady state, but not its growth rate.
Similar Questions
Use the information below to answer the following questions: (1) the rate of depreciation is 12% per year, (2) the population growth rate is 2% per year, and (3) the growth rate of technology is 3% per year.Refer to the information above. Which of the following represents the steady-state growth rate of output per worker in this economy?
Consider an economy with the production function with . In a year in the capital stock grew at rate 5.6%, the population grew at 1.6%, and productivity grew at 5.5%, what is the growth rate of . (Note: provide answer as a percent growth rate)
Suppose that the saving rate for an economy is 0.75, the level of per capita capital stock is 80, the rate of depreciation is 0.02 and the rate of population growth is 0.04. What is the level of per capita income if this economy is in steady state?
Suppose an economy has this production equation Y=F(K, L)=K0.4L0.6. The saving rate is 0.2, the depreciation rate is 0.05. Calculate the capital per worker, output per worker, and consumption per worker at a steady state. (Please keep two decimal places.)
In a developing country, the growth rate of capital per hour of work is 6%, and the growth rate of technology is 3%. Using the growth accounting formula, what is the country's productivity growth rate?The country's productivity growth rate is %.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.