Use the Solow model below to answer the question. Y3 Y₂ Y ₁ K₂ K3 Y = Af (K, H) dk SY K Suppose that Y₁ is 1,458, Y₂ is 5,898, and Y3 is 11,618. The savings rate for this economy is 18% and the depreciation rate is 5.4%. If this economy is currently at a GDP of 1,458, what is the smallest amount of foreign aid which would move the economy up to a GDP of 11,618?
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- Question 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 now 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 depreciation rate is 0.1. Using the Solow model, you conclude that in the steady-state: a. Brazil has a higher capital-output ratio than Portugal b. Portugal has a higher capital-output ratio than Brazil c. Brazil has a higher level of output than Portugal d. Portugal has a higher level of output than…Suppose the economy of an island behaves as the Solow model (Y=AK1/2L1/2), version 1.0 (constant population). Suppose that the productivity parameter is A=90, the depreciation rate is d=1/10, the savings (investment) rate is s=0.10, and the labor force is equal to 2 million (and constant over time). 1-Due to climate change, from 2011 onward, every year the island is hit by hurricanes of increasing force that destroy capital. As a result, the depreciation rate doubles. What will be the new long-run (steady state) value for income per worker (Y/L)? Pick the closest value. Also label the new steady-state GDP as point C in the diagram. Between 75 and 85 None of the other options Between 4,500 and 5,200 Between 8,000 and 8,500 Between 44 and 49 2-In year 2021 investors recognize that the depreciation rate is higher than a decade earlier. They also recognize that the actual returns to their investments in physical capital over the previous decade have consistently fallen below their…an economy is described by the Solow-Swan model with the following variables, E(t)=1 The saving rate is 0.41 per year. Labor's share of income is 0.44. The growth rate of labor efficiency is 0.03 per year. The growth rate of the labor force is 0.02 per year Depreciation is 0.09 per year. calculate the steady-state value of the capital-to-labor ratio, K/L Enter your answer to two places after the decimal.
- 1. In the Solow model, if investment (I=sY) is lower than depreciation (dK), then…. A. Depreciation (dK) in the following period will be higher than in the current period. B. Capital stock (K) in the following period will be lower than in the current period. C. Per-capita GDP (y) in the following period will be the same as in the current period. D. Overall GDP (Y) in the following period will be higher than in the current period. The answer is B - - Can you show work for it, graph the representation for itConsider an economy in which production is characterized by the neoclassical productionfunction:Y = K0.5N0.5Suppose that it has a saving rate (s) of 0.1, a population growth rate (n) of 0.02, and an average depreciationrate (d) of 0.03.a) Write this production function in per capita form, and find the steady-state values of per capitacapital k and per capita output y.b) At the steady-state value of k, is there more or less capital than at the golden-rule level?c) Determine what saving rate would yield the golden-rule level of capital in this model.Consider an economy with the following aggregate production function: Y = 3K1/3(AL)2/3 Capital grows through investment but also decays due to wear and tear at a constant rate δ per period. Assume that A is growing at the exogenous rate g, that L is growing at the exogenous rate n, and that households save a constant proportion s of their income. (a ) Find the steady state level of the capital per effective worker (k*), output per effective worker (y*) and consumption per effective worker (c*) - in terms of the parameters of the model. (B) What is the level of k (k**) that maximizes consumption? (C) Given a depreciation rate of 7%, population growth rate of 2%, technological progress of 1% and a saving rate of 30%, calculate the steady state levels of k, y and c. (D) To move to the level of capital that maximizes consumption, how should the saving rate be changed? Explain. (E) Calculate the saving rate needed to reach the golden rule level of capital per effective worker.
- Draw a graph with the following elements: A Solow growth (Y) function where Y= square root of K An investment (I) function where I = % * Y A depreciation (D) function where D = % * KConsider the Solow Model. Suppose a country enacts a tax policy that discourages investment, and the policy reduces the investment rate immediately and permanently from sbar to sbarprime . Assuming the economy (and hence the initial capital stock) is ABOVE its initial steady state (note: this is different from the standard case where we start at the intial steady state), use the Solow diagram to explain what happens to the economy over time and in the long run. Draw a graph showing how output evolves over time (put Y_t on the vertical axis with a ratio scale and time on the horizontal axis), and explain what happens to economic growth over time.Suppose a Solow economy is initially at its steady state k∗, and suddenly is hit by a decrease in the depreciation rate δ, from δ to δ1. This change does not alter any of the other exogenous parameters in the model Depict this situation in a graph What happens to steady state level of capital per capita in this situation? What happens to the level of capital per capita over time? Depict this in a graph and explain intuitively.
- Consider an economy that begins in a steady-state. Then an asteroid destroys two third of the capital stock. Using Solow model, draw a graph to explain how the economy behaves over time. Draw another graph indicating how output progresses over time, and demonstrate what happens to the level and growth rate of per capita GDP. By how much does the output decline when the capital stock falls by two third? Please include a description of what's happening on the graphs.Consider a Solow–Swan model with saving rate s = 0.4, labour force growth gL = 0.05, constant productivity A = 1, and depreciation ?δ = 0.05. If output per worker is y = Y/L = 200 and capital per worker is k = K/L = 1000, which of the following is true? Group of answer choices - Effective depreciation per worker is 80, saving per worker is 100 and k will increase towards the steady state - Effective depreciation per worker is 100, saving per worker is 80 and k will decrease towards the steady state - Effective depreciation per worker is 100, saving per worker is 80 and k is at the steady state - Effective depreciation per worker is 80, saving per worker is 100 and k will decrease towards the steady stateConsider an Economy in steady state, with a Cobb Douglas Production function. They have a savings rate of 45% and a capital share of 2/7. Technological progress is 1%, population growth is 3%, and Depreciation is 5%. 1. Derive the Production function per effective worker and solve for steady state capital, output, and consumption per effective worker. 2. What is MPK in the steady state? Is this country saving too much or too little? How do you know? 3. What should you lower or raise the saving rate to, in order to reach the golden rule steady state