. Consider the Solow growth model where we add government purchases, G. According to the expenditure approach of GDP, Y=C+I+G. Suppose G = gY, where ģ is a number between 0 and 1. Government purchases are financed with taxes, T = G. Agents invest a fraction 5 of their disposable income, Y-T. Formally, I = 5(Y – T). The steady-state capital per worker, k = K/L, solves: sgf(k)= dk d. s(1 − d)ƒ (k) = ģk e. sdf (k)=gk a. b. C. s(1 − ģ)ƒ (k) = dk sf (k)= gk
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- Consider the following Solow diagram, indicating two sep-arate savings rates, 0.2 and 0.4: Suppose the savings rate is 0.2. At the steady state, what is capital per worker? What is output per worker? How much is saved per worker? Suppose the population growth rate is equal to the depreciationrate. Solve for n and d.Q) Suppose that the depreciation rate increase. In the Solow growth model, determine the effects of this on the quantity of capital per worker (k) and on output per worker (y) in the steady state. Show with graphs Note:- copy paste answer not provided. Give me your own words and correctly explains.Q) Suppose that the depreciation rate increase. In the Solow growth model, determine the effects of this on the quantity of capital per worker (k) and on output per worker (y) in the steady state. Show with graphs Copy paste answer strictly prohibited . So explain it own words and correctly.
- In this problem, we distinguish between labor and population in the Solow growth model. A proportion of the population, a, between zero and one, works. The production function is now written as Y = A(K^1/3)[(aL)^2/3] (a) How does an increase in a from 0.3 to 0.6 change steady state GDP? (b) Does it change the steady-state capital? Explain. (c) Suppose a rises steadily over time. How do you think would affect the growth rate of GDP?which statement \s are true. use graphs to exlain a. In the Solow growth model, the saving rate is a crucial determinant of the economy's long-run growth rate of output per worker. b. In the endogenous growth model , the representative firm sets the wage so that the demand and supply of efficiency units of labour are equal. c. In the endogenous growth model , there is no steady state of the economy as human capital will always continue to grow forever. d. The assumption of Constant Returns to Scale technology implies that the marginal product of factor imput is always decreasing.Consider an economy in which the labour force grows by 2.7 percent per annum, physical capital grows by 4 percent per annum and human capital grows by 1.8 percent per annum. Suppose 45 percent of national income goes to labour and 40 percent to capital. Use a constant returns to scale production function to answer the following growth accounting questions: (a) If the Solow residual were zero what rate of growth would the economy achieve? (b) The country's actual rate of growth has been 4.5 percent per annum, which is faster than the growth rate generated by the accumulation of capital and labour stocks. Calculate the value of the residual.
- 3. Consider the Basic Solow growth model with a Cobb-Douglas production function and no technological change for the economy china. In this island economy, capital’s share α= 0.3, the annual depreciation rate on capital δ = 0.08 and the annual population growth rate n = 0.02. Suppose that this is the year 2017, and the economy is in the steady-state with GDP (Y) = 200 bananas, and capital stock K = 400 bananas. [Feel free to use any form of exponentiation that works best for you] Project the equilibrium level of GDP for 2050. Calculate the market value of fixed capital (K) in 2050 on a gross basis. Using the steady-state conditions, solve for the saving rate (s*) that is consistent with a stable steady-state.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.select the correct one(s) a) Suppose s = 0.15, Y = 4200, K = 6100, n = 0.03, g=0.03 and δ= 0.10. This makes national saving smaller than steady-state investment, so that the amount of capital per effective worker will be falling. b) In the graph of the Solow growth model, at any point to the left of the steady-state intersection we have national saving per effective labour greater than steady-state investment per person, causing (K/AL) to increase. c) In the Solow growth model, an increase in the marginal propensity to consume shifts the steady-state investment line downward with the implied change in the capital stock resulting in a higher standard of living in the long run.
- 4.The Solow growth model differs from the Harrod-Domar because: a.Assumes that depreciation rate and population growth are exogenous b.Assumes that the rate of technological progress varies from country to country. c.Predicts that permanent growth is achievable only through technological progress d.Predicts that poorer countries will grow faster than richer countries.1. Carefully draw a graph depicting steady state conditions within the Solow Growth Model framework. Carefully explain, making reference to depreciation rates and savings rates, how the steady state level of capital is determined. Now, demonstrate how the economy can grow from this point forward (in separate analyses) assuming: (a.) widespread improvements in production technology, and (b.) increases in savings rates. For each analysis show and carefully describe how the new steady state level of capital is attained.QUESTION 1 (10 marks) Consider the Solow growth model without population growth or technological change. The parameters of the model are given by s = 0.2 (savings rate) and δ = 0.05 (depreciation rate). Let k denote capital per worker; y output per worker; c consumption per worker; i investment per worker. a. Rewrite production function per-worker terms. b. Find the steady-state level of the capital stock, kss