Suppose two countries have the same growth rates of the capital and labor input stocks. These factorscontribute 2 percentage points to their respective countries' total output growth rates. Output growth ratesare 3.5% for country 1 and 5.5% for country 2. Assume the production function is: Y = AK^.3L^.7What is the productivity growth rate for country 1?_ %. (Enter your response rounded to one decimalplaces.)What is the productivity growth rate for country 2?__ %. (Enter your response rounded to one decimalplaces.)

The production function exhibits the technological relationship between the input and the output.…

Answered: Buppose two countries have the same…

Exploring Economics

8th Edition

ISBN:9781544336329

Author:Robert L. Sexton

Publisher:Robert L. Sexton

Chapter20: Economic Growth In The Global Economy

Section: Chapter Questions

Problem 5P

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1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.
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.
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5) Suppose that an economy starts off with a per capita real GDP of $5,000. How large will the per capita GDP of this country be if it grows at an annual rate of 6% for 40 years? Use compound growth rate formula. Show your calculations and the unit of account of your answer. Answer: 6) The graph below represents per-worker production functions for the same country. Answer the following questions using this graph. Real GDP per hour worked, Y/L $17,000 16,400 16,000 15,000 Production function3 B Production function2 E Production function1 a) Answer: $50,000 60,000 70,000 Capital per hour worked, K/L Which concept is illustrated by the movement from point A to B or from point B to C?
Suppose that India is currently growing at a rate of 14% per year and is producing real GDP per capita equal to $7,000, whereas the United States is currently growing at a rate of 5% per year and is producing real GDP per capita equal to $28,000.a) How long will it take India to double its real GDP per capita?b) How long will it take the United States to double its real GDP per capita?c) How much will India's real GDP per capita be in 20 years?d) How much will the USA's real GDP per capita be in 14 years?
Suppose country X currently produces $1000 of goods and services per year with a constant growth rate of 2.0% per year. Country Y's production is currently $800 with growth of 3.0% per year. Using the rule of 72, how long does it take for country X's production to double? Using the rule of 72, how long does it take for country Y's production to double? years After how long will the two countries have the same level of production? Estimate the level of production when the two countries produce the same amount. $ 36 years 24 years
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
Based 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
1 1 1. Assume that a country's production function is Y = K2L2. Assume there is no population growth or technological change = f(k)? b. Assume that 10 percent of capital depreciates each year. What gross saving rate is necessary to What is the per-worker production function y а. make the given capital-labor ratio the steady-state capital-labor ratio? (Hint: In a steady state with no population growth or technological change, the saving rate multiplied by per-worker output must equal the depreciation rate multiplied by the capital-labor ratio.) (Ctrl) -
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…
If X grows at a rate of 9% a year, and Y grows at a rate of 14 percent per year, what is the growth rate of X/Y? a. 23% b. -5% c. 5% d. (9/14) % A nation’s population is growing 5% per year, and its total GDP is growing 1% per year. What is the annual rate of growth of GDP per capita? Feel free to round to the nearest percentage point:.

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