In the country of Solow, the production function is this: Y = √K. (Output = square root of capital). 10% of capital falls apart every year. Study the production data and then write the percent of output that is invested each year. (If you think the percent is 89%, write 89, not 89%. If you think the answer is 71%, write 71, not 71%). Year K Y D 9 3 9.3 1 12 Answer:
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- 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?if a nation real gdp is growing by 3.5 percent per year , its real GDP will double in aproxiately 1. 41.1 years 2, 20.6 years 3, 10.3 years 4, 72 yearsIf X grows at a rate of 9% a year, and Y grows at a rate of 14 percent per year, what is the growth rate of X/Y? a. 23% b. -5% c. 5% d. (9/14) % A nation’s population is growing 5% per year, and its total GDP is growing 1% per year. What is the annual rate of growth of GDP per capita? Feel free to round to the nearest percentage point:.
- 4. Assume that in an economy with constant technology, the production function is Y = ĀK"}L. -1/3 72/3 (a) If d = .15, A = 2, L = 1, and 5 =.20, calculate the steady state level of capital in this economy. (b) If the current level or capital per-person is K=6, calculate the change in capital and output next period (t+1). What is the change in capital and output two periods from now (t+2)? Do your answers make intuitive sense?Exercise 4: Growth and capital over-accumulation = Suppose two countries, A and B, with the same production function Y KaL¹-a. The value of a is 0.30, the growth rate of population is 2% and the depreciation rate is 5%. a) Show that with price-taking firms the share of labor must be 1 a. b) Compute the stock of capital, output and consumption per unit of labor in the steady state if the savings rates were 25% for country A and 35% for country B. c) Compare both economies to the Golden Rule. d) Explain what would happen to both countries if suddenly their savings rate became the Golden Rule savings rate.J 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 .
- Assume that a production function is given by Y AK/³L2/³. IfĀ = 2 and [ = 1, = and if the steady-state capital stock is 8.0, the steady-state level of output is about: Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a с d e 8.0. 4.0. 45.4. 2.0. 22.6.Q7 An economy has a Cobb–Douglas production function: Y = Kα(LE)1−α The economy has a capital share of 1/3, a saving rate of 24 percent, a depreciation rate of 3 percent, a rate of population growth of 2 percent, and a rate of labor-augmenting technological change of 1 percent. It is in a steady state. a. At what rates do total output, output per worker, and output per effective worker grow?b. Solve for capital per effective worker, output per effective worker, and the marginal product of capital. c. Does the economy have more or less capital than at the Golden Rule steady state? How do you know? To reach the Golden Rule steady state, does the saving rate need to increase or decrease?d. Suppose the change in the saving rate you described in part (c) occurs. During the transition to the Golden Rule steady state, will the growth rate of output per worker be higher or lower than the rate you derived in part (a)? After the economy reaches its new steady state, will the growth rate of…Small differences in growth rates in the size of the economy, over several decades, will result in big differences in the size of the economy. Pretend we start in 1950 and the U.S. growth in real GDP has been around 3.15%. This has resulted in real GDP growing 8 times over this 70-year period (1950 to 2020). If real GDP growth had been 4.0%, real GDP would be times larger. a. 8 (about the same growth as with 3.15% growth) b. 10 С. 14 d. 16
- Economics hello please help me with this question QUESTION T Suppose that x is growing at 5 percent a year, y is growing at 10 percent a year, and z is growing at minus 20 percent a year. What is the growth rate of LifL=xy O 0.02. O 0.06 O 0.15 O We do not have enough information. O 0.10.Assume that a country's per-worker production is y = k/2, where y is output per worker and k is capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 and there is no population growth or technological change. a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, and consumption per worker in the steady state? b. Solve for steady-state capital per worker, production per worker, and consumption per worker with s = 0.6. c. Solve for steady-state capital per worker, production per worker, and consumption per worker with s = 0.8.3. If the production function is given by y=k;"3 where y; where y; is the output per worker and kt is the capital per worker. Suppose that the saving rate (s) equals the depreciation rate (8) plus 0.4. 1/3 Find the steady state capital, output, investment, and consumption? Hint: all steady state values are functions of either (s) or (8)