estion 3 A country with neither population growth nor technological progress is initially in the golden-rule steady state. Carefully illustrate this situation using a graph with output per worker, investment per worker, and depreciation per worker on the vertical axis and capital per worker on the horizontal axis. Now suppose climate change increases If the country adjusts its saving rate to reach the new golden- how output per worker and consumption initial steady state?

estion 3 A country with neither population growth nor technological progress is initially in the golden-rule steady state. Carefully illustrate this situation using a graph with output per worker, investment per worker, and depreciation per worker on the vertical axis and capital per worker on the horizontal axis. Now suppose climate change increases If the country adjusts its saving rate to reach the new golden- how output per worker and consumption initial steady state?

Principles of Economics 2e

2nd Edition

ISBN:9781947172364

Author:Steven A. Greenlaw; David Shapiro

Publisher:Steven A. Greenlaw; David Shapiro

Chapter20: Economic Growth

Section: Chapter Questions

Problem 12SCQ: Why dues productivity growth in high-income economies not slow down as it runs into diminishing...

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120 100F NOR ARE SGP CHE HKG SWE TWN Na. A VEN 40 60 80 100 120 Relatiwe GDP per enpita to the US lewel - 1970 In the figure above, GDP per capita relative to the US level for a large group of countries is plotted for years 1970 (in the horizontal axis) and 2000 (in the vertical axis). Which one of the following statements is correct? O Income per capita of countries on the 45 degree line has grown at a similar rate than income per capita of the US in each year. O Income per capita of each country is plotted according to how strongly it correlates to the income per capita of the US in each year. O The income per capita of those countries below the 45 degree line has grown the fastest in between years 1970 and 20 O The income per capita of those countries on the 45 degree line has not grown in between years 1970 and 2000.
The following table shows the GDP per capita of various countries forthe years 1960 and 2010 in PPP-adjusted 2005 dollars. The table alsocontains the implied growth rates, which show how much on average eachcountry needed to grow each year to reach the 2010 level of GDP per capitastarting from the 1960 level of GDP per capita. Use the table to answer thefollowing questions. 1. During 1960-2010, which countries were able to reduce the gap betweentheir GDP per capita and the U.S. GDP per capita?
Assume that a country's per-worker production is y = k1/2, where y is output per worker and kis capital per worker. Assume also that 10 percent of capital depreciates per year (= 0.10) 2 andthere is no population growth or technological change.a. If the saving rate (s) is 0.4, what are capital per worker, production per worker, andconsumption per worker in the steady state?b. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.6.c. Solve for steady-state capital per worker, production per worker, and consumption perworker with s = 0.8.d. Is it possible to save too much? Why?
Would you expect capital deepening to result in diminished1etmns? Why or why not? Would you expect improvements in technology to result in diminished returns? Why or why not?
What do the growth accounting studies conclude are the determinants of growth? Which is more important, the determinants or how they am combined?
The following table shows the GDP per capita of various countries forthe years 1960 and 2010 in PPP-adjusted 2005 dollars. The table alsocontains the implied growth rates, which show how much on average eachcountry needed to grow each year to reach the 2010 level of GDP per capitastarting from the 1960 level of GDP per capita. Use the table to answer thefollowing questions. 1. Why have some countries reduced the gap between their incomes andthat of the United States and other countries failed to do so?
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 .?123
15. Suppese that in 1960 Japan had an initial per capita GDP of $12.000 per year and China had a per capita GOP of 55.000. But China is grewing at 5 percent per year and iapan is growing at 3 percent per year. ia richer in 2010 with a per capita GDP of eporoni mately a lapan $5.000 a. China: $73,500 a. lapen: $31,500 . Not enough information is given. e China $5,000
YIN CN Next question Suppose that the production function is given by Y- 05VR N 454 where Y is output, Kis capital, and N is the number of workers 4 Suppose that 60 05 With your favonte spreadsheet software, compute steady-state output per worker and steady-state consumption per worker for s 0, 801, a02, s1 Graph the steady-state level of output per worker and the steady-state level of consumption per worker as a function of the saving rate 25 1) Using the multipoint curve drawing tool, drawa curve showing the relationship between YIN and the saving rate. Properly label your curve 15 2) Using the multipoint curve drawing tool, draw a curve showing the relationship between CIN and the saving rate. Properly label your curve 0.5 Although the control ponts for your multpownt curves do not have to be exact try to plot them as accurately as possible 01 02 03 a'4 os o6 07 os 09 Saving rate, At what saving rates are YIN and CIN maximized? After plotting the final point of your multipoint curve…
5. Suppose that the Country of Eldesarrollo has a gross savings rate of 25%, a depreciation rate of 3%, an incremental capital-output ratio of 2.75, a population growth rate of 1.5% per year, and a per capita income of $1500. a. Using the Harrod-Domar (or AK) growth model, calculate the implied rate of growth of total GNI in Eldesarrollo. b. What is the implied rate of growth of GNI per capita? c. How much would the rate of gross savings have to increase to raise the growth rate of total GNI to 9%? d. Suppose that one-quarter of all investment is completely wasted in Eldesarrollo. Returning to the original numbers, what is the resulting effective ICOR, and what is the corresponding new implied growth rate of total GNI?
Suppose that U.S. real GDP per capita is $50,000 and grows on average at 3% per year. How long will it take for U.S. real GDP per capita to double at this growth rate? If this growth rate continues, what will U.S. real GDP r capita be in 70 years? S Suppose that U.S. real GDP per capita is $50,000 and grows on average at 5% per year (rather than 3% a year) How long will it take for U.S. real GDP per capita to double at this growth rate? years (round to nearest year) If this growth rate continues, what will U.S. real GDP per capita be in 70 years? S years (round to nearest year)
2. An economy has a production function: Y 3KtLt. (1) The economy has a saving rate of 24 percent, a depreciation rate of 3 percent, 1 for all period (no population growth). and Lt Yt Lt (a) What is the per-worker production function, yt f(kt)? Define yt Ки Lt and kt (b) Find the equation for the evolution of capital per worker in terms of kt and kt+1 (c) Find the long-run growth rate of output per worker. Now the economy has the following production function: Y 3Kt (2) but savings rate, depreciation rate, and population remain the same