Q1 The steady state Consider the Basic Solow Model without exogenous growth: Y-AKOL-a C= (1-8)Y Y=C+I K' I (1-8)K where labor is constant. Assume the following values for the rest of this question: A=100 a = 0.35 s=0.12 8=0.10 L=25 For each question that follows, if the answer depends on the answer(s) to previous question(s), use unrounded answers in do calculations. If you do not, rounding error will accumulate. Q1.1 Compute steady state capital per worker. Round your answer to at least three decimal places.
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- What is meant by economies of scale and what is the importance of this concept toeconomic growth?Consider the average annual growth rate 5.93% of 2000-2005, and forecast the population in Abu Dhabi in 2011. Use the continuous compounding equation of growth. Year Abu Dhabi Nationals Non-nationals Total 1980 90,792 361,056 1985 135,982 430,054 1990 173,992 556,389 1995 222,627 719,836 2000 248690 846,267 2005 348048 1,049,207 UAE 451,848 1,016,789 566,036 1,350,433 730,381 1,811,457 942,463 2,350,192 3,050,127 4,481,976 6How 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?
- 1. Romer Model Yt ▲ At+1 Lyt + Lat = At Lyt = ZAt Lat = Lat = IL Suppose A0 = 100, ī= 0.4, z = 1/10000 and Ī = 1000, (a) What is the growth rate of knowledge in this economy? (b) What is the growth rate of per capita output? (c) If the percentage of the population engaged in ideas formation, I decreases, what are the short- and long-term impacts of this shift? Illustrate using graph.e ncia.wwnorton.com b. Per capita real GDP doubled in South Korea again in only seven years, reaching $1600.00 by 1988.00. What was the average annual economic growth rate between 1981 and 1988.00? (NOTE: Round this to two places past the decimal point.) % 4th attempt 3rd attempt Okay Elizabeth 4 8 Q W E Y U P @ 23 & return A F G H J K % ! V N M .?123 .?123An increase in research productivity: Suppose the economy is on a balanced growth path in the Romer model, and then, in the year 2030, research pro-ductivity z rises immediately and permanently to the new level z r. (a) Solve for the new growth rate of knowledge and yt.(b) Make a graph of yt over time using a ratio scale.
- 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. ChacQ4) Production Functions and Growth (a) Time is continuous and the production function of the economy is given by (1) Y¢ = ( K¢ )ª( A¿N; )1-« Total factor productivity evolves according to (2) A = egt Ao such that A where the growth rate of technological progress g is exogenous. Population grows at an exogenous rate n according to (3) N{ = ent No with No = 1 such that = n Find an expression for the growth rate of (i) output per capita (Yt / Ni) and (ii) output per effective worker ( Yt/ (A:N:) ). When is the growth rate of (ii) equal to zero?According to Solow growth model, which are the main factors leading to expect convergence across regions. In addition, discuss which factors, if any, may lead to expect no convergence. b) In 2010, GDP per capita of the region of Brussels (Belgium) was €55000, while that of Severozapaden (Bulgaria) was €6.500. Assume that, from 2010 onwards Brussels maintains a constant anual growth of 2% during 50 years. • Obtain the (constant) annual growth rate at which the region of Severozapaden should grow in order to attain the same GDP per capita of Brussels after this period (50 years). Hint: use instantaneous annual growth rates. c) Discuss the implications of your answers in sections a) and b) for EU's regional policy.
- 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…Assume a Solow growth model economy with no exogenous technological change is initially at a steady state. Suppose there is a permanent decrease in the population growth rate, say on account of the spread of AIDS a major current problem in Sub-Sahara Africa. graphically the path of the economy's capital and output per capita over Show time following this event.Per capita GDP in the long run: Suppose an economy begins in steady state.By what proportion does per capita GDP change in the long run in responseto each of the following changes?(a) Te investment rate doubles.(b) Te depreciation rate falls by 10%.(c) Te productivity level rises by 10%.(d) An earthquake destroys 75% of the capital stock.(e) A more generous immigration policy leads the population to double.