An increase in the initial stock of knowledge: Suppose we have two economies—let’s call them Earth and Mars—that are identical, except that one begins with astock of ideas that is twice as large as the other: A Earth 0 = 2 × A Mars0 Te two economies are so far apart that they don’t share ideas, and each evolves as a sepa-rate Romer economy. On a single graph (with a ratio scale), plot the behavior of per capita GDP on Earth and Mars over time. What is the efect of starting outwith more knowledge?

An increase in the initial stock of knowledge: Suppose we have two economies—let’s call them Earth and Mars—that are identical, except that one begins with astock of ideas that is twice as large as the other: A Earth 0 = 2 × A Mars0 Te two economies are so far apart that they don’t share ideas, and each evolves as a sepa-rate Romer economy. On a single graph (with a ratio scale), plot the behavior of per capita GDP on Earth and Mars over time. What is the efect of starting outwith more knowledge?

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter1: Welcome To Economics!

Section: Chapter Questions

Problem 6SCQ: Suppose we extend the circular flow model to add imports and exports. Copy the circular flow diagram...

See similar textbooks

Similar questions

Consider two economies (indexed by i = 1, 2) described by Yi(t ) = Ki(t )θ and Ki(t ) = siYi(t ), where θ > 1. Suppose that the two economies have the same initial value of K, but that s1 > s2. Show that Y1/Y2 is continually rising.
Consider an competitive economy with interest rate r =MPK=0.05,capital depreciation rate o = 0.03, technology growth rate g = 0.03, and populationgrowth rate n = 0.02(1) Why should we be interested in the Golden Rule steady state of an economy? (2) Is the economy depicted above running on its Golden Rule steady state? If yes,explain how you get your answer. If no, what should the government do to achievethe Golden rule steady state?(3) It is said that the Golden Rule steady state gives the greatest growth rate of consumption per capita. True or False? Explain your answer.(4) It is said that population is usually a burden to economic growth. So if we canreduce the population growth rate from n = 0.02 to n = 0.01, everyone will be betteroff, in the sense of enjoying greater growth rate of consumption in the new GoldenRule steady state. True or False? Explain your answer.
Suppose that the economy is summarized by the following: Technology (Production Function): Yt = 10 (Kt)0.3 (Lte)0.7 Consumption function: Ct = 0.8Yt Depreciation rate: 8% (i.e. δ= 0.08) Population growth: 2% (i.e. n = 0.02) Technological growth: 4% (i.e. g = 0.04) 1. Assuming that in 2013 the US economy is in the steady state and L2013 = Le2013 = 8, what is the value of ke2014, ye2014, ce2014 , k2014, y2014, and c2014 ?
(a) Consider an economy that is initially in a steady state equilibrium. Assume that in this equilibrium it has a saving rate of 50 per cent and a depreciation rate of 2 per cent. Further assume that the population growth rate is 3% and that the level of output produced can be represented by the following production function: = where A = 1 and = 0.5. Use the Solow-Swan model to determine the level of capital per worker and output per worker in this economy. (1 mark) (b) Now suppose the government introduces a set of policies to improve the institutional set up as well as better production technique which increases total factor productivity by double. What is the new steady state level of capital per worker and output per worker? (1 mark) (c) Use a Solow-Swan diagram to show the qualitative effects of this new government policy upon steady state output per worker and capital per worker. Briefly describe the intuition behind this result. (1 mark) (d) Now suppose, population growth rate…
Please answer all sub-parts questions. Consider an open economy with following economic numbers in 2024 • Autonomous consumption = 1 • MPC = 0.6 • Planned investment = 2 • Government expenditures = 4 • Net Exports = -3 • Unemployment rate = 8% a. Suppose that Y = 10 in 2024 with the unemployment rate at 8%, much higher than policymakers, and most voters, think is appropriate. If no government action is taken, will market forces lift the economy, and lower the unemployment rate? If so, how. If not, why not? b. Suppose with Y = 15, the jobless rate falls to a much more desirable 4%. Propose a policy for 2025 that will engender a new equilibrium with the unemployment rate at 4%. c. To successfully get Y to 15, from 10, you recommended a change in one of the variables in the AE equation. What was the size of the change you suggested for that variable? Was that the same size as the change in Y? If not, explain the mechanism and show the arithmetic that predicted this different sized change…
3. Suppose that we have a Solow model with one twist. The twist is that thereis a government. Each period, the government consumes a fraction of output,sG. Hence, the aggregate resource constraint is:Yt = Ct + It + Gt.Where Gt = sGYt. Define private output as Ypt = Yt − Gt. Suppose thatinvestment is a constant fraction, s, of private output (consumption is then1 − s times private output). Otherwise the model is the same as in the text.104(a) Re-derive the central equation of the Solow model under this setup.(b) Suppose that the economy initially sits in a steady state. Suppose thatthere is an increase in sG that is expected to last forever. Graphicallyanalyze how this will affect the steady state value of the capital stockper worker. Plot out a graph showing how the capital stock per workerwill be affected in a dynamic sense
Question 3Consider an economy described by the production function:Y = F(K, L) = K0.3 L0.7 a. What is the per-worker production function?b. Assuming no population growth or technological progress, find the steady-state capital stock per worker, output per worker, and consumption per worker as a function of the saving rate and the depreciation rate.c. Assume that the depreciation rate is 10 percent per year. Make a table showing steadystate capital per worker, output per worker, and consumption per worker for saving ratesof 0 percent, 10 percent, 20 percent, 30 percent, and so on. (You will need a calculator with an exponent key for this.) What saving rate maximizes output per worker? What saving rate maximizes consumption per worker?
No plagrisum and correct answer please. Please do all four parts..Thank You advance Consider two commodities viz. smartphones and travel bags and two countries viz. Bangladesh and South Korea. Suppose the production of both the commodities is fully mechanized using electricity as an input in both the countries. The amount of electricity hours needed to produce one unit of each commodity is a follows: Hours per unit Smart Phones Travel Bags Bangladesh 6 1 South Korea 1 3 The total units of electricity available in Bangladesh is 1000 units while that in South Korea is 2000 units. i. Calculate the opportunity cost of each commodity for each country and explain which country has comparative advantage in production of smartphones ii. If each country decides to distribute its electricity supply in production of each good in equal proportions, what will be the total supply of smartphones and travel bags? iii. If each country decides to allocate its electricity fully in the…
Let the national-income model be: Y = C + I0 + G C= a+b +b(Y - T) (a > 0, 0 < b < 1) G = gY (0 < g < 1) Consider the national-income model found above. Provide a general equilibrium solution for each endogenous variable (Y, C, G) as a formula of the parameters given. Create a numerical example by selecting and justifying a set of parameters that are close to real estimates for the US economy of $19 trillion GDP.
Exercise 4: Growth and capital over-accumulationSuppose two countries, A and B, with the same production function Y = KαL1−α. Thevalue of α 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 − α.b) Compute the stock of capital, output and consumption per unit of labor in the steadystate 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 becamethe Golden Rule savings rate.
Consider Romer Model 2. Suppose there are two countries, rich and poorone. Both countries have the same population size, L and the same knowledgegeneration productivity parameter, z. At the beginning, time 0, the rich countryhas more knowledge stock than the poor one, Ar0 > Ap0, where subscript labelstime and superscript labels country being rich or poor. However, the fractionof researchers in poor country is larger than the one in rich country, ̄lp > ̄lr .Question 4 Part aIn which country, would you prefer to live in the short-run? How about in thelong-run?How long would it take for the poor country to reach rich one’s per capitaoutput level? Show your results analytically and graphically as well. (If you pre-fer solving this question numerically by assigning values to the above parametersand variables, feel free to do so
Consider an economy that has access to a production technology Y = AKαL1−α where Y is output, A is the level of technology, K is capital and L is the amount of labor in the economy. Capital evolves according to K˙ = sY (thus, the depreciation rate δ = 0). The x˙ population growth rate is n. (Throughout, gx = x , where x can be any of the variables in the model.) (a) Assume that technology is determined by A = BKφ What sort of endogenous growth model is this? Find K/K in terms of the K, L, and other parameters of the model.