(ii) What is the relation between Kt and Ht? Use this relation to write down total output as a function of Ktonly.Imagine that the number of people in this economy, Nt, is different from the number of workers because some people do not work.LtLet lt- be the number of workers per capita (the fraction of the population that works). Let yNtYtbe output per capita andNtKtktbe capital per capita. Finally, let n be the rate of population growth and y, be the growth rate of labor.Nt(iii) Using the "effective production function" you derived in (b), write down output per capita, yt, as a function of capital percapita, kt, labor per capita, lt, the level of population Nt, and the level of technology, A.Following Solow and Swan, assume there is no government and no net exports, that the depreciation rate of capital is the constant8 > 0 and the savings rate is constant 0 < s < 1.(iv) DERIVE the fundamental equation of Solow-Swan. How does the growth rate of capital depend on employment perperson, le? Explain intuitively.• (v) Does the equation of the growth rate of capital depend on the growth rate of population, n, or the growth rate ofemployment? Explain intuitively. Consider the following production function:Y; = AK“H?-«L%where Ktis capital, Htis human capital, Leis the amount of workers and A is the (constant) level of technology.(i) Does this production function satisfy all the neoclassical properties. Discuss the meaning of each property INTUITIVELY.Imagine that parents invest in the human capital of their children up to the point where the MARGINAL PRODUCT OF PHYSICALCAPITAL, Kt, is equal to the MARGINAL PRODUCT OF HUMAN CAPITAL, Ht.

Answered: Image /qna-images/answer/29828173-dec8-4884-97ca-287831edf3b1.jpg

Answered: • (ii) What is the relation between Kt…

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 4P

See similar textbooks

Similar questions

Cross country comparisons of GDP per capita typically use purchasing power parity equivalent exchange rates, which are a measure of the long run equilibrium value of an exchange rate. In fact, we used PPP equivalent exchange rates in this module. Why could using market exchange rates, which sometimes change dramatically in a short period of time, be misleading?
An economy starts off with a GDP per capita of 5,000. How large will the GDP per capita be if it grows at an annual rate of 2 for 20 years? 2 for 40 years? 4 for 40 years? 6 for 40 years?
What do the growth accounting studies conclude are the determinants of growth? Which is more important, the determinants or how they am combined?
Canadian real GDP per capita is 50,097 (measured in constant 2017 USD, same for thefollowing numbers) in the year 2019 and 40,489 in the year 1999. Canadian real capital stockper capita is 226,225 in the year 2019 and 155,256 in 1999. Calculate the growth rate of GDPper capita in Canada for these two decades, as well as the contribution from productivitygrowth and that from capital accumulation. You can use a capital share α of 1/3.
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.
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…
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?
C I G NX Price Yr1 1000 156 560 52 4 Yr2 1300 159 600 52 5 Yr3 2000 169 690 53 6 Yr4 2900 180 880 53 7 Population Yr1 2 Yr2 2 Yr3 3 Yr4 3 Using the information above: State what real GDP per capita will be for all four years. (round to the whole number for all calculations and final answers) State what the change in real GDP per capita will be from year 1 to…
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?
QUESTION 10 Consider the scenario given in the table below for two economies, Economy X andEconomy Z. Note that the two economies are identical in every aspect except for their level of productivity (A). A Ko No In ak S Economy X Economy Z 20 15 10 1 0.15 0.3 0.1 10 1 0.15 0.3 0.1 The GDP of economy X in period 10 (i.e., Y10) is equal to (Round your answers to 1 decimal point.)
What is the best way to measure the rate of economics growth? a. By the annual percentage change in nominal GDP O b. By the annual percentage change in nominal GDP per capita O c. O d. By the annual percentage change in real GDP By the annual percentage change in real GNP per capita Oe. None of the above
If real GDP increases from $100 billion to $105 billion, and the population increases from 100 million to 102 million, what is the grwoth rate of real GDP per person? The growth rate of real GDP person person is ____ percent.

SEE MORE QUESTIONS

Recommended textbooks for you

Exploring Economics

Economics

ISBN:

9781544336329

Author:

Robert L. Sexton

Publisher:

SAGE Publications, Inc

Principles of Economics 2e

Economics

ISBN:

9781947172364

Author:

Steven A. Greenlaw; David Shapiro

Publisher:

OpenStax

MACROECONOMICS

Economics

ISBN:

9781337794985

Author:

Baumol

Publisher:

CENGAGE L

Exploring Economics

Economics

ISBN:

9781544336329

Author:

Robert L. Sexton

Publisher:

SAGE Publications, Inc

Principles of Economics 2e

Economics

ISBN:

9781947172364

Author:

Steven A. Greenlaw; David Shapiro

Publisher:

OpenStax

MACROECONOMICS

Economics

ISBN:

9781337794985

Author:

Baumol

Publisher:

CENGAGE L

Essentials of Economics (MindTap Course List)

Economics

ISBN:

9781337091992

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

Brief Principles of Macroeconomics (MindTap Cours…

Economics

ISBN:

9781337091985

Author:

N. Gregory Mankiw

Publisher:

Cengage Learning

SEE MORE TEXTBOOKS