Assume that a country's per-effective-worker production function is ý = k 1/4, d = 0.10, n=0.02, s= 0.35, and g = 0.03. [13 points] A) What are * and ý * equal to? Show your work. Box in your answers. B) What are sg, ĉ g* and y g* equal to under the golden rule of capital? Show your work. in
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- Suppose that the per-worker production (labour productivity) function in South Korea is Y over L equals A open parentheses K over L close parentheses to the power of 0.4 end exponent open parentheses H over L close parentheses to the power of 0.6 end exponent. South Korea's labor productivity rises 6% per year, capital-labour ratio rises 5% per year, and human capital per worker rises 2% per year. This information suggests that total factor productivity grows at _________ per year.What happens in the steady state to the capital-labor ratio, output per worker, and consumption per worker when each of the following events occur? You should assume that the steady-state capital-labor ratio is below the Golden Rule level.Ma1. two countries have the same effectiveness of labor production function Y = F (K,LE) = K^0.5 (LE)^0.5 a. what is the per effective worker production function for these countries? b . what is the steady state value of y as a function of s, n, g, and δ only? c. countries A and b are identical in every way except rate of savings. countries A has a savings rate of 17 percent and country B has a savings rate of 10 percent. for both countries the rate of technical progress is g = 0.04 the birth rate is n = 0.05 and depreciation δ = 0.04. find the steady state value of y for each country. compare and comment
- Suppose you are studying a country whose value of output per worker y = 40, capital per worker k = 189, and human capital per worker h = 2. Further assume the share of income paid to capital in this country =0.1. What is the value of for this country? Enter your answer rounded to one decimal place.Assume that a economy holds two factors of production, human capital managed by native-born workers and low skilled migrants. If large migration of low skilled migrants occurs, how will the influence the rate of return on human capital?Suppose y = k1/2, total factor productivity is constant and equal to 1, s = 0.40, and d = 0.10. When the economy reaches the steady state, real GDP per worker is ________. A. $2 B. $4 C. $8 D. $16
- Urgently need. What does the two gap model of poverty trap say? Poverty arises when the rate of return on capital exceeds the growth rate of income. Poverty arises from the gap between savings and investment and can be remedied by foreign aid. Poverty arises when capital market imperfections restrict the amount individuals can borrow. Poverty arises when a country invests in the traditional sector with constant returns to scale, and not in the modern sector with increasing returns.Suppose y = k^1/2, total factor productivity is constant and equal to 1, s = 0.40, and d = 0.10. When the economy reaches the steady state, the capital−labor ratio is ________ of capital per worker. A. $2 B. $4 C. $8 D. $16This is an extremely simple human capital accumulation problem. Let ℎ? denote human capital of generation ? (i.e., human capital of people born in year ?). Suppose that human capital accumulates as a result of education spending, denoted by ? and measured in 1,000 US dollars. If ? = 30, the total spending is 30,000 US dollars and human capital of this individual is equal to ℎ? = 2√?Suppose that every individual has the same human capital, and output perindividual is ?? = ?ℎ?where ? > 0 is a fixed technology parameter.Find the (long-run) growth rate of ??. Show all your work, and interpret your results.
- Graphically explain the golden rule level of capital.Suppose that K(t+5)/N > K(t+3)/N, where K(t+3) is capital in period t+3 and K(t+5) is capital in period t+5. Output per worker, Y/N, in period t+3 is ____ in period t+4. less than equal to greater thanWrite the production function in its simplest form (human capital being included in TFP) and explain the nature of each factor as well the theoretical value of the parameter Alpha. In other words what does the value of Alpha represent regarding the returns of each factors of production?