3. In Country 1 the rate of investment is 5%, and in Country 2 it is 20%. The two countries have the same levels of productivity, A, and the same rate of depreciation, d. (a) Assuming that the value of a is 1/3, what is the ratio of steady-state output per worker in Country 1 to steady-state output per worker in Country 2? (b) What would the ratio be if the value of a were 2/3?
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- 4.If population growth rate is 0.03, and the depreciation rate is 0.2, then in order to maintain the steady state capital-labor ratio equal to the amount found in Qs. 2, what would be the investment per worker?Assume that a country's per-worker production is y = k1/2, where y is output per worker and kis capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 andthere is no population growth or technological change.a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, andconsumption per worker in the steady state?b. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.6.c. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.8.d. Is it possible to save too much? Why?Which of the following statements are correct? state which ones are definitely incorrect and why. a. Capital grows when investment is higher than depreciation b. The growth rate of capital increases when investment is higher than depreciation c. For a given rate of depreciation of capital, a rise in the ratio of investment to capital will raise the growth rate of capital d. There are no rich countries wth low investment ratios, and no poor countries with high investment ratios e. A country can only invest more than it saves if it borrows from abroad. f. The scatter diagram of capital output ratios vs investment rates does not show a perfect correlation. Therefore there is something wrong with the model of the way capital grows g. A country that increases its saving rate will be able to have more rapid growth of capital for as long as it maintains this higher savig rate h. A country that increases its saving rate will be able to have more rapid…
- 3. Calculate the steady state level of investment in an economy with a savings rate of 15%, population growth of -1%, depreciation of 10%, and a= 2/3. Show your work.QUESTION 2 If Z = (XY)2, and we know that the annual growth rate of Z is 3%, and the annual growth rate of X is 2%, the annual growth rate of Y is а. - 1% b. - 0.5% C. 0.5% d. 1.0%Y - K"(LE) The economy has a capital share of 0.20, a saving rate of 45 percent, a depreciation rate of 3.75 percent, a rate of population growth of 5.00 percent, and a rate of labor-augmenting technological change of 3.5 percent. It is in steady state. b. Solve for capital per effective worker (k"), output per elffective worker (y"), and the marginal product of capital. k' - y* = marginal product of capital =
- Given a saving rate of 5%, a depreciation rate of 1%, and a production function in which y = k0.5where y is output per worker and k is capital per worker, calculate the steady state values fori. capital per worker, ii. output per worker, iii. consumption per workergive the example of country that overinvest in capital and human capital!What is gross capital formation reflecting in terms of GDP of a country? What it indicates when the value is high or low?
- QUESTION 1 Assume a Cobb-Douglas production with capital share 1/3; total factor productivity equal to 1, total population in an economy is equal to 1, depreciation rate is 5 percent and saving rate is 10 percent. Then the steady-state level of capital is about: a. 0.8 b. 1.6 c.1.3 d.2.8 e. 0.3Question 2 If a natural disaster destroys a large portion of a country's capital stock but the saving and depreciation rates are unchanged, the Solow model predicts that the economy will grow and eventually reach:a. A lower steady-state level of output than it would have before the disasterb. None of these answers is correctC. The same steady-state level of output as it would have before the disasterd. A higher steady-state level of output than it would have before the disaster e. Not enough information is given QUESTION 3 Suppose you are given the data for Brazil and Portugal. In Brazil, the saving rate is 0.1 and the depreciation rate is 0.1, while in Portugal saving rate is 0.2 and the…2. An economy has a production function: Y 3KtLt. (1) The economy has a saving rate of 24 percent, a depreciation rate of 3 percent, 1 for all period (no population growth). and Lt Yt Lt (a) What is the per-worker production function, yt f(kt)? Define yt Ки Lt and kt (b) Find the equation for the evolution of capital per worker in terms of kt and kt+1 (c) Find the long-run growth rate of output per worker. Now the economy has the following production function: Y 3Kt (2) but savings rate, depreciation rate, and population remain the sameJ 7 Given a production function Yt = AKt1 /3L2 /3 , if K0=8, A = 2, L = 4, s = 0.2, and d = 0.05: (a) Calculate the steady-state level of capital and output. (b) Calculate K1 , I 1 , Y1 and C1 .