In the Solow growth model, suppose initially that the economy is in its steady state, in which thesavings rate is lower than the golden-rule savings rate. Suppose the savings rate has changed tothe golden-rule savings rate, which of the following is TRUE for the effect on consumption perworker?Consumption per worker may be higher or lower than the initial steady-state level ofconsumption on the transition path, but the new steady-state level of consumption is lower.Consumption per worker may be higher or lower than the initial steady-state level ofconsumption on the transition path, but the new steady-state level of consumption is higher.Consumption per worker is always higher than the initial steady-state level of consumption inboth transition path and the new steady state.Consumption per worker is always lower than the initial steady-state level of consumption inboth transition path and the new steady state.

When the economy transitions from a steady state where the savings rate is lower than the…

Answered: In the Solow growth model, suppose…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

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In the Solow growth model, suppose that the per-worker production function is given by y = zk 0.4 with s = 0.15, d = 0.1, and n = 0.02. a. Suppose in country A that z= 1. Calculate the steady-state capital per worker and income per capita in country A. The steady-state capital per worker is (Round to two decimal places as needed.) The steady-state income per capita is. (Round to two decimal places as needed.) b. Suppose in country B that z = 2. Calculate the steady-state capital per worker and income per capita in country B. The steady-state capital per worker is|. (Round to two decimal places as needed.) The steady-state income per capita is (Round to two decimal places as needed.) c. As measured by GDP per capita, how much richer is country B than country A? What does this tell us about the potential differences in total factor productivity to explain differences in standards of living across countries? Country B is times richer than country A, as measured by GDP per capita. This…
a) Consider two countries that have the same parameters and exogenous variables (i.e. they have the same values for s¯, d¯, L¯ etc). Country A starts with a level of capital above the steady state. Country B starts below the steady state. First, plot the Solow diagram, explain why country B will grow but country A will shrink. b) Solve for steady state level of capital per person, k∗.
Long run economic growth a) An economy is in its steady-state. According to the Solow model, what will happen to output per worker if the saving rate were to increase? Draw a diagram to illustrate. b) According to the Solow model, an increase in the saving rate is not always desirable. Why not? c) In the world economy, we see a great disparity of income per person. Yet the Solow model predicts conditional convergence – that poor countries will grow faster than rich countries and eventually converge to the same level of income per person as the rich countries. According to the Solow model, what conditions must be met for convergence to occur?
Which of the following is an incorrect statement about the variable ‘s’ in the Solow Growth Model? a.s is the fraction of income that is saved b.s is an exogenous factor c.s is referred to as saving per worker d.s determines how income is allocated between consumption and investment
In the steady-state equilibrium with fixed technology, if the population and labor force are both growing at the rate of two percent per year, the Solow model predicts that: the capital stock will be constant each year. aggregate output will grow at the rate of two percent per year. output per worker will grow at the rate of two percent per year. aggregate output will grow at the rate of one percent per year.
when a country adds ideas what is it doing to its productivity and GDP? Which variable in the Solow Model equation is it changing?
Consider the Solow growth model in which population evolves according to: N′ = (1 + n)N where N is the population (labor force) in the current period, N′ is the population (labor force) in the future period, and n is the population growth rate. There are public health expenditures that takes the form of government spending, G = gN, where G is the current period government spending on health care, g is the per-capita health spending in the current period. The production technology is given by Y = zKαN1−α where Y is the output of the consumption good, z is the total factor productivity, K is the current period capital stock, aN is the labour input, and 0 < α < 1 is a parameter. Consumers save a constant fraction, s, of their disposable income, where 0 < s < 1. Suppose that the economic is hit by a pandemic (e.g. Covid-19) which causes a temporary decrease in total factor productivity, z, as certain sectors in the economy (e.g. entertainment, travel etc.) cannot deliver…
In the Solow model with population growth and technological progress, the steady- state growth rate of total output is: On. 0. On+g. 0 g.
Consider our graph of the basic Solow growth model. On the graph above: y represents real output (or income) per worker; y=F(k) is the production function; k is the capital stock per worker; s is the savings rate; δ is the rate of depreciation of capital; ‘i’ represents business investment (purchases of capital) per worker); ‘LF’ stands for Loanable Funds. (For purposed of intuition, think of capital as ‘machines.’) If we started out with a capital (per worker) stock lower than the steady-state stock ( , above), we would expect to see which of the following happen over time? Group of answer choices A) Positive growth rates while the capital stock increases. B) Negative growth rates while the capital stock increases. C) Negative growth rates while the capital stock decreases. D) Positive growth rates while the capital stock stays less than the steady-state level. E) Positive growth rates while the capital stock decreases.
A key assumption of the Solow Growth Model is that: (a) the marginal product of capital diminishes as additional units of capital are added; (b) output per capita declines as a nation’s capital to labor ratio increases; (c) the marginal product of labor tends to rise as additional units of labor are added; (d) capital tends to depreciate at an increasing rate as a nation’s output increases.
The government of "Arcadia" is considering various proposals to increase the country's GDP growth rates. Using the predictions of the Solow growth model, please discuss the merits of each of the proposed ideas for generating growth in income. For each proposal does your answer change in the short and long run? That is, would you always give the same advice? a. Information campaign to encourage people to save in an effort to increase national savings rate. o. Investment in building new roads connecting villages to cities (in this case existing road infrastructure is limited in the country)
. This part considers a modified version of the Solow growth model. Suppose the production function is given by F(K,bN) = K°(bN)1-a where b is the labour augmenting technology, which grows at a rate f, i.e., b+1 = (1+ f)b. For simplicity, assume that the total factor productivity z = 1, and the population is constant, i.e., N, = N for all t. The rest of the model is the same as in the standard Solow model in the textbook. Especially, the aggregate capital stock evolves according to Kt+1 = I4 + (1 – d)Kt. And assume that the economy is still closed, and there is no government. For any aggregate variable X, let the lower case letter a be the variable per effective unit of worker; that is a = *. Show that the production technology specified above satisfies the assumption of con- stant returns to scale.

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