y=zk^2/3 For this economy, derive the competitive equilibrium, and derive the equation that solves for a steady state capital stock per worker.
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y=zk^2/3
For this economy, derive the competitive equilibrium, and derive the equation that solves for a steady state capital stock per worker.
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- Ecuador's economy has a production function that is as follows: Y = K2/5L3/5 The men in Ecuador generally stay home performing household chores while women work. Since the Ecuadorian state television stopped airing soap operas, many men decided to join the workforce and thus the labor force increased by 6.5%. However, recent storms have destroyed much of the capital stock of the country and thus the capital stock shrank by 2.5%. A. Assuming there is no change in total factor productivity in Ecuador, how would the output of Ecuador's economy change? B. How would labor productivity (output per worker) be affected by the increase in labor and decrease in capital stock? Explain. C. Assuming instead that Ecuador's economy grew by 4.9%, what would be the change in total factor productivity in the economy?Assume that the growth rate of the capital stock in each period is determined by the level of output in the previous period. 1) An economy of 80 million people has ten percent of them engaged in research and development, where their productivity is 0.0035. The economy is on a balanced growth path, when suddenly 2.88 million people move from goods production into R&D, raising the fraction there to 13.6 percent. In the one period that begins with this labor reallocation, the growth rate of output is ________. [Refer to the instruction above.] A) 2.8% B) 0.0% C) 3.8% D) 2.2%What is gross capital formation reflecting in terms of GDP of a country? What it indicates when the value is high or low?
- If we have an aggregate production function of the form Y = AK, at what capital-labor ratio can a steady-state equilibrium be reached?Assume a Cobb-Douglas production with capital share 1/3; total factor productivity equal to 2, total population in an economy is equal to 1, the steady-state level of capital stock is 8.0. Then the steady-state level of output is about: a. 4.0 b. 2.0 c. 22.6 d. 8.0 e. 45.4Imagine two countries, i and j. You have the following information: si = 2 sj s= saving rate hi= hj h=human capital 2Ai = Aj A=technology What can you infer about long-run income per worker differences between these countries? Explain formally.
- Consider the following (made-up) statistics for some econ-omies. Assume the exponent on capital is 1/3 and that the labor composition is unchanged. For each economy, compute the growth rate of TFP.(a) A European economy: gY/L = 0.03, gK/L = 0.03.(b) A Latin American economy: gY/L = 0.02, gK/L = 0.01.(c) An Asian economy: gY/L = 0.06, gK/L = 0.15.How is a steady state level of capital determined mathematically? Can use graphs to aid in explanation if possibleWhat is the slope of the capital market line (CML)? What does it measure?
- Is a planned economy just the same as a large MNC in allocating the means of production?Suppose some of the country's capital is suddenly destroyed. If the depreciation rate, savings rate, and production function remain unchanged, then the real growth rate will _____ in the short run and the steady-state level of capital will _____ increase, decrease, or stay the same?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?
