Which of the following statements is true? 1. If output per head is proportional to the number of ideas had in the past, then a constant rate of growth requires ever rising numbers of new ideas each year. 2. World population growth is a potential source of new ideas. a) Both 1 and 2 b) 1 only c) 2 only d) Neither 1 nor 2
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- 4. Assume an endogenous growth model with a production function that in per capita terms can be written as y = 0.8k. If the savings rate is s = 0.3, the rate of growth of population is n = 0.03, and the rate of depreciation is d = 0.1, how high is the rate of growth of output per capita? %3D A. 14% B. 17% C. 13% D. 11% E. There is not enough information to calculate it.1. Many endogenous growth models feature so called scale effects: per capita growth rises when population growth rises. Some economists have criticized these models for this reason, since countries with faster population growth do not in general appear to also experience faster per capita income growth. Consider an economy that has access to a production technology Y = AKª L¹-a 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 6 = 0). The population growth rate is n. (Throughout, gx, where x can be any of the variables in the model). i. Assume that technology is determined by A =BK What sort of endogenous growth model is this? Find gk in terms of the K, L, and other parameters of the model. ii. Write an expression for gy in terms of gk and g₁. What must be true for a balanced growth path to exist in this model? Solve for the balanced growth path value of gy and gy,…4. Assume an endogenous growth model with a production function that in per capita terms can be written as y = 0.8k. If the savings rate is s = 0.3, the rate of growth of population is n = 0.03, and the rate of depreciation is d = 0.1, how high is the rate of growth of output per capita? А. 14% В. 17% C. 13% D. 11% E. There is not enough information to calculate it.
- Sweden and Norway are two neighboring countries in Northern Europe with similar savings rates, population growth rates, technology growth rates, and depreciation rates. However, Norway differs from Sweden in that Norway has large deposits of oil all along its coast, which makes it very easy for Norway to produce large quantities of crude oil every year with relatively little capital and labor. a) Draw a Solow Growth diagram that compares Sweden and Norway. What is the main difference between the two countries in the diagram? b) According to the Solow Growth Model, which country would have a higher standard of living in the long run? Which country would have a higher growth rate of its standard of living in the long run? c) Suppose now that, in the long run, oil becomes obsolete and has no value because it is uneconomical relative to renewable energy sources like solar and wind power. What would this do to your Solow Growth diagram in part a? How would the standard of living in Norway…n the endogenous growth model, suppose that there are three possible uses of time. Let u = the fraction of time spent working s = fraction of time spent neither working nor accumulating human capital (unemployment) 1 – u – s = fraction of time spent accumulating human capital If z = 1, b = 5, and the economy begins in period 1 with 100 units of human capital, find the values of Y, H, and Y’ for each of the scenarios below. In this model, does the scenario with the greater human capital accumulation lead to the highest per capita income (Yes/No)? u s H Y H' Y' .7 .05 100 .6 .15 100 .6 .05 100 .5 .10 100 Does the scenario with the greater human capital accumulation lead to the highest per capita income (Yes/No)?rowth: Homework Saved years Help Save & Ex Suppose that real GDP per capita in the United States is $53,500. If the long-term growth rate of real GDP per capita is 4.5% per year, how many years will it take for real GDP per capita to reach $107,000? Instructions: Enter your answer as a whole number. Chac
- 4. Assume our endogenous growth model with 0<1. Now assume that a more open immigration policy suddenly boosts the US population growth rate to a higher constant rate: n'. Graph the short and long-run effects of this in a graph of the growth rate in ideas over time.Consider the following numerical examples for the Solow Growth Model: Economy A z=1 s=0.5 F(K,N)=K0.3N0.7 n=0.01 d=0.1 Economy B z=1 s=0.2 F(K,N)=K0.3N0.7 n=0.01 d=0.1 In which economy is Consumption per capita higher in steady state? O Economy A O Economy B Not enough InformationBased on the notations used in class, suppose you are given the following information for the Solow growth model (with population growth and depreciation but without technological progress): y = k0.5, 8 = 0.04, n = 0.01, and s= 0.25. What is the steady-state level of k? O a. 36 O b. 15 O c. 25 O d. 5
- How can we measure growth over the very long run? Te poorest countries in the world have a per capita income of about $600 today. We can reason-ably assume that it is nearly impossible to live on an income below half this level (below $300). Per capita income in the United States in 2015 was about$51,000. With this information in mind, consider the following questions.(a) For how long is it possible that per capita income in the United Stateshas been growing at an average annual rate of 2% per year?(b) Some economists have argued that growth rates are mismeasured. Forexample, it may be difcult to compare per capita income today with percapita income a century ago when so many of the goods we can buy todaywere not available at any price then. Suppose the true growth rate in thepast century was 3% per year rather than 2%. What would the level of percapita income in 1800 have been in this case? Is this answer plausible?Can you show me the solution for part d)Suppose that in the year 2020 there are two different countries-Sparta and Rome each with a real GOP per capita of $45,000 Real GDP per capita in Sparta grows at a rate of 2.2% per year. Real GDP per capita in Rome grows at a rate of 1.7% per year. Assume these growth rates continue. Using the Rule of 70, how many years will it take for the countries to hieve a real GDP per capita of $90,000 per year? 37 years for Sparta and 45 years for Rome O 32 Years for Sparta and 70 Years for Rome O 70 years for Sparta and 41 years for Rome O 32 years for Sparta and 41 years for Rome O 35 years for Sparta and 45 years for Rome