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PRODUCTIVITY AND
    GROWTH
   MODULE 38
THE AGGREGATE PRODUCTION FUNCTION
 Productivity is higher when workers are
  equipped with more physical capital, more
  human capital, better technology, or any
  combination of the three.
 In order to put numbers to productivity,
  economists make use of estimates of the
  aggregate production function which shows
  how productivity depends on the quantities
  of physical capital per worker and human
  capital per worker as well as the state of
  technology.
THE AGGREGATE PRODUCTION FUNCTION
 In general, all three factors of production
  tend to rise over time, as workers are
  equipped with more machinery, receive more
  education, and benefit from technological
  advances.
 The aggregate production function allows
  economies to isolate the effects of these
  three factors on overall productivity.
EXAMPLE OF AN AGGREGATE PRODUCTION
             FUNCTION
  A comparative study of Chinese and Indian
   economic growth used the following
   aggregate production function:
    *GDP per worker=T x (physical capital per
     worker)0.4 x (human capital per worker)0.6
  Where T represented an estimate of the level
   of technology and they assumed that each
   year of education raised worker’s human
   capital by 7%.
 *study conducted by Barry Bosworth and Susan Collins of the
 Brookings Institution
DIMINISHING RETURNS TO PHYSICAL
            CAPITAL

 The estimated aggregate production function
  exhibits diminishing returns to physical
  capital.
 This means that when the amount of human
  capital per worker and the state of
  technology are held fixed, each successive
  increase in the amount of physical capital
  per worker leads to a smaller increase in
  productivity.
DIMINISHING RETURNS TO PHYSICAL
             CAPITAL

 A productivity curve shows a graphical
  representation of the aggregate production
  function, placing physical capital on the x-
  axis and real GDP per worker on the y-axis.
 However, diminishing returns may disappear
  if the amount of human capital is
  increased, the technology improved, or
  both, when the amount of physical capital is
  increased.
DIMINISHING RETURNS TO PHYSICAL
             CAPITAL

 Diminishing     returns    is   a   pervasive
  characteristic of production.
 Typical estimates suggest that, in practice, a
  1% increase in the quantity of physical
  capital per worker increases output per
  worker by only one third of 1%, or 0.33%.
GROWTH ACCOUNTING


 All the factors contributing to higher
  productivity rise during the course of
  economic growth: both physical capital and
  human capital per worker increase, and
  technology advances as well.
 Economists use growth accounting to
  separate the different effects from each of
  the three major factors in the aggregate
  production function to economic growth.
EXAMPLE OF GROWTH ACCOUNTING
 Suppose that the amount of physical capital
  per worker grows by 3% a year.
 If each 1% rise in physical capital per worker
  will raise the output per worker by one-third
  of 1%, then the 3% increase in physical
  capital will be responsible for 1% or
  productivity growth per year
               (3% x 0.33 = 1%)
 Similarly, but more complex procedure is
  used to estimate the effects of growing
  human capital. It is more complex because
  there are no simple $ measures of the
  quantity of human capital.
GROWTH ACCOUNTING

 Growth accounting allows us to calculate the
  effects of greater physical and human capital
  on economic growth.
 Technological progress is measured by
  estimating what is left over after the effects
  of physical and human capital per worker
  have been taken into account.
TOTAL FACTOR PRODUCTIVITY AND
      TECHNOLOGICAL PROGRESS

 Total factor productivity refers to the amount
  of output that can be achieved with a given
  amount of factor inputs.
 When total factor productivity increases, the
  economy can produce more output with the
  same quantity of physical capital, human
  capital, and labor.
 Increases in total factor productivity are
  central to a country’s economic growth.
TECHNOLOGICAL PROGRESS


 Increases in total factor productivity in
  fact, measure the economic effects of
  technological progress.
 This implies that technological change is
  crucial to economic growth.
NATURAL RESOURCES
 Other thing equal, countries that are
  abundant in valuable natural resources have
  higher GDP per capital than countries that do
  not possess these resources.
 However, other things are not equal. It has
  proven that natural resources are a much
  less important determinant of productivity
  than human or physical capital.
 Some nations with very real GDP per capita
  have very few natural resources (such as
  Japan) and some resource-rich countries are
  very poor (such as Nigeria).
THOMAS MALTHUS
In   An    Essay     on    the    Principle  of
  Population, English economist Thomas
  Malthus expounded on the pessimistic
  prediction about future productivity:
As population grew, he said, the amount of land
  per worker would decline. This, other things
  equal, would cause productivity to fall.
Malthus thought that improvements to physical
  and human capital would only cause
  temporary           improvements            in
  productivity, because they would always be
  offset by the pressure of rising population
  and more workers on the limited supply of
  land.
THOMAS MALTHUS
 However, it has not turned out this way.
 Although historians believe that Malthus
  prediction of falling productivity was valid for
  much of human history.
 However,      any  negative  effects    on
  productivity from population growth have
  been far outweighed by other positive
  factors: advances in technology, increases
  in human and physical capital, and the
  opening up of enormous amounts of
  cultivatable land.
THREE EXPERIENCES WITH
         ECONOMIC GROWTH

 Rates of long-run economic growth differ
  markedly around the world.
 Three countries are analyzed in terms of their
  economic growth: Argentina, Nigeria, and
  South Korea.
 Each was chosen as an example of what has
  happened in their region.
SOUTH KOREA
 South Korea is often referred to as the East
  Asian economic miracle. It has taken South
  Korea only 35 years to achieve economic
  growth that has taken centuries elsewhere.
 In 1960, South Korea was a poor nation.
  However, in a space of about 30
  years, reaching a growth of an average of 7%
  per year in real GDP per capita.
 Today, although still poorer than either
  United States or Europe, it has become an
  economically advanced country.
THE ASIAN COUNTRIES
 Asian countries have achieved high growth
  rates because all the sources of productivity
  growth have been increases constantly:
1. Very high savings rates have allowed the
   countries to significantly increase the
   physical capital per worker.
2. Very good basic education have allowed a
   rapid improvement in human capital.
3. Substantial      technological     progress
   characterizes these countries.
THE ASIAN COUNTRIES
This East Asian experience demonstrates that
  economic growth can be especially fast in
  countries that are catching up with other
  countries that have higher real GDP per
  capita.
On this basis, economists suggest a general
  principle known as the convergence
  hypothesis.
According       to       the       convergence
  hypothesis, international differences in real
  GDP per capita tend to narrow over time.
THE EAST ASIAN COUNTRIES
 This East Asian experience demonstrates that
  economic growth can be especially fast in countries
  that are catching up with other countries that have
  higher real GDP per capita.
 On this basis, economists suggest a general
  principle known as the convergence hypothesis.
 According          to         the        convergence
  hypothesis, international differences in real GDP per
  capita tend to narrow over time because countries
  that start with a lower real GDP per capita tend to
  have higher growth rates (however, starting with a
  low level of real GDP per capita is no guarantee of
  rapid growth).
LATIN AMERICA
 In 1900, Latin America was not an economically
  backward region.      Natural resources were
  abundant, including minerals and cultivatable
  land.
 However, since about 1920, growth in Latin
  America has been disappointing.
 The reasons for Latin America’s stagnation are
  the opposite for the reasons for South Korea’s
  success story.
LATIN AMERICA
 The rates of saving and investment spending in
  Latin America have been much lower than in
  East Asia:
1. Irresponsible government policy that has
   eroded savings through high inflation, bank
   failures, and other disruptions.
2. Education has been underemphasized.
3. Political instability has led to irresponsible
   economic policies.
LATIN AMERICA
 In 1980, economists believed that Latin America
  was suffering from excessive government
  intervention in markets.
 They recommended opening the economies to
  imports, selling government-owned companies,
  and freeing up private initiative.
 However, only Chile      has   achieved   rapid
  economic growth.
AFRICA
AFRICA
 The explanation of         this   discouraging
  situation results from:
1. The first and foremost problem has been
   political instability. Wars have killed
   millions of people and mad productive
   investment spending impossible.
2. This threat of war and general anarchy have
   also inhibited other important conditions for
   growth, such as education and provision of
   necessary infrastructure.
AFRICA


3. Property rights: the lack of legal safeguards
   means that property owners are subject to
   extortion    because       of     government
   corruption, so citizens are reluctant to own
   or improve property.
AFRICA
While many economists believe that political
 instability and government corruption are the
 leading causes of underdevelopment in
 Africa.
However, some economists, like Jeffrey
  Sachs, believe that Africa is politically
  unstable because it is poor.
He maintains that Africa’s poverty stems from
  its   extremely   unfavorable    geographic
  conditions, as much of the continent is
  landlocked, hot, infested with tropical
  diseases, and cursed with poor soil.
AFRICA
The example of Africa represents a warning that
  long-run economic growth cannot be taken for
  granted.
However, some countries like Mauritius have been
  able to achieve economic growth through
  textile industry.
Several African nations that are dependent on
  exporting commodities such as oil and coffee
  have benefitted by their higher prices.
On a happier note:        Africa’s economic
  performance since the mid 1990’s has been
  generally much better than it was in the
  preceding decades.

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Module 38 productivity and growth

  • 1. PRODUCTIVITY AND GROWTH MODULE 38
  • 2. THE AGGREGATE PRODUCTION FUNCTION  Productivity is higher when workers are equipped with more physical capital, more human capital, better technology, or any combination of the three.  In order to put numbers to productivity, economists make use of estimates of the aggregate production function which shows how productivity depends on the quantities of physical capital per worker and human capital per worker as well as the state of technology.
  • 3. THE AGGREGATE PRODUCTION FUNCTION  In general, all three factors of production tend to rise over time, as workers are equipped with more machinery, receive more education, and benefit from technological advances.  The aggregate production function allows economies to isolate the effects of these three factors on overall productivity.
  • 4. EXAMPLE OF AN AGGREGATE PRODUCTION FUNCTION  A comparative study of Chinese and Indian economic growth used the following aggregate production function: *GDP per worker=T x (physical capital per worker)0.4 x (human capital per worker)0.6  Where T represented an estimate of the level of technology and they assumed that each year of education raised worker’s human capital by 7%. *study conducted by Barry Bosworth and Susan Collins of the Brookings Institution
  • 5. DIMINISHING RETURNS TO PHYSICAL CAPITAL  The estimated aggregate production function exhibits diminishing returns to physical capital.  This means that when the amount of human capital per worker and the state of technology are held fixed, each successive increase in the amount of physical capital per worker leads to a smaller increase in productivity.
  • 6. DIMINISHING RETURNS TO PHYSICAL CAPITAL  A productivity curve shows a graphical representation of the aggregate production function, placing physical capital on the x- axis and real GDP per worker on the y-axis.  However, diminishing returns may disappear if the amount of human capital is increased, the technology improved, or both, when the amount of physical capital is increased.
  • 7. DIMINISHING RETURNS TO PHYSICAL CAPITAL  Diminishing returns is a pervasive characteristic of production.  Typical estimates suggest that, in practice, a 1% increase in the quantity of physical capital per worker increases output per worker by only one third of 1%, or 0.33%.
  • 8. GROWTH ACCOUNTING  All the factors contributing to higher productivity rise during the course of economic growth: both physical capital and human capital per worker increase, and technology advances as well.  Economists use growth accounting to separate the different effects from each of the three major factors in the aggregate production function to economic growth.
  • 9. EXAMPLE OF GROWTH ACCOUNTING  Suppose that the amount of physical capital per worker grows by 3% a year.  If each 1% rise in physical capital per worker will raise the output per worker by one-third of 1%, then the 3% increase in physical capital will be responsible for 1% or productivity growth per year (3% x 0.33 = 1%)  Similarly, but more complex procedure is used to estimate the effects of growing human capital. It is more complex because there are no simple $ measures of the quantity of human capital.
  • 10. GROWTH ACCOUNTING  Growth accounting allows us to calculate the effects of greater physical and human capital on economic growth.  Technological progress is measured by estimating what is left over after the effects of physical and human capital per worker have been taken into account.
  • 11. TOTAL FACTOR PRODUCTIVITY AND TECHNOLOGICAL PROGRESS  Total factor productivity refers to the amount of output that can be achieved with a given amount of factor inputs.  When total factor productivity increases, the economy can produce more output with the same quantity of physical capital, human capital, and labor.  Increases in total factor productivity are central to a country’s economic growth.
  • 12. TECHNOLOGICAL PROGRESS  Increases in total factor productivity in fact, measure the economic effects of technological progress.  This implies that technological change is crucial to economic growth.
  • 13. NATURAL RESOURCES  Other thing equal, countries that are abundant in valuable natural resources have higher GDP per capital than countries that do not possess these resources.  However, other things are not equal. It has proven that natural resources are a much less important determinant of productivity than human or physical capital.  Some nations with very real GDP per capita have very few natural resources (such as Japan) and some resource-rich countries are very poor (such as Nigeria).
  • 14. THOMAS MALTHUS In An Essay on the Principle of Population, English economist Thomas Malthus expounded on the pessimistic prediction about future productivity: As population grew, he said, the amount of land per worker would decline. This, other things equal, would cause productivity to fall. Malthus thought that improvements to physical and human capital would only cause temporary improvements in productivity, because they would always be offset by the pressure of rising population and more workers on the limited supply of land.
  • 15. THOMAS MALTHUS  However, it has not turned out this way.  Although historians believe that Malthus prediction of falling productivity was valid for much of human history.  However, any negative effects on productivity from population growth have been far outweighed by other positive factors: advances in technology, increases in human and physical capital, and the opening up of enormous amounts of cultivatable land.
  • 16. THREE EXPERIENCES WITH ECONOMIC GROWTH  Rates of long-run economic growth differ markedly around the world.  Three countries are analyzed in terms of their economic growth: Argentina, Nigeria, and South Korea.  Each was chosen as an example of what has happened in their region.
  • 17. SOUTH KOREA  South Korea is often referred to as the East Asian economic miracle. It has taken South Korea only 35 years to achieve economic growth that has taken centuries elsewhere.  In 1960, South Korea was a poor nation. However, in a space of about 30 years, reaching a growth of an average of 7% per year in real GDP per capita.  Today, although still poorer than either United States or Europe, it has become an economically advanced country.
  • 18. THE ASIAN COUNTRIES  Asian countries have achieved high growth rates because all the sources of productivity growth have been increases constantly: 1. Very high savings rates have allowed the countries to significantly increase the physical capital per worker. 2. Very good basic education have allowed a rapid improvement in human capital. 3. Substantial technological progress characterizes these countries.
  • 19. THE ASIAN COUNTRIES This East Asian experience demonstrates that economic growth can be especially fast in countries that are catching up with other countries that have higher real GDP per capita. On this basis, economists suggest a general principle known as the convergence hypothesis. According to the convergence hypothesis, international differences in real GDP per capita tend to narrow over time.
  • 20. THE EAST ASIAN COUNTRIES  This East Asian experience demonstrates that economic growth can be especially fast in countries that are catching up with other countries that have higher real GDP per capita.  On this basis, economists suggest a general principle known as the convergence hypothesis.  According to the convergence hypothesis, international differences in real GDP per capita tend to narrow over time because countries that start with a lower real GDP per capita tend to have higher growth rates (however, starting with a low level of real GDP per capita is no guarantee of rapid growth).
  • 21. LATIN AMERICA  In 1900, Latin America was not an economically backward region. Natural resources were abundant, including minerals and cultivatable land.  However, since about 1920, growth in Latin America has been disappointing.  The reasons for Latin America’s stagnation are the opposite for the reasons for South Korea’s success story.
  • 22. LATIN AMERICA  The rates of saving and investment spending in Latin America have been much lower than in East Asia: 1. Irresponsible government policy that has eroded savings through high inflation, bank failures, and other disruptions. 2. Education has been underemphasized. 3. Political instability has led to irresponsible economic policies.
  • 23. LATIN AMERICA  In 1980, economists believed that Latin America was suffering from excessive government intervention in markets.  They recommended opening the economies to imports, selling government-owned companies, and freeing up private initiative.  However, only Chile has achieved rapid economic growth.
  • 25. AFRICA  The explanation of this discouraging situation results from: 1. The first and foremost problem has been political instability. Wars have killed millions of people and mad productive investment spending impossible. 2. This threat of war and general anarchy have also inhibited other important conditions for growth, such as education and provision of necessary infrastructure.
  • 26. AFRICA 3. Property rights: the lack of legal safeguards means that property owners are subject to extortion because of government corruption, so citizens are reluctant to own or improve property.
  • 27. AFRICA While many economists believe that political instability and government corruption are the leading causes of underdevelopment in Africa. However, some economists, like Jeffrey Sachs, believe that Africa is politically unstable because it is poor. He maintains that Africa’s poverty stems from its extremely unfavorable geographic conditions, as much of the continent is landlocked, hot, infested with tropical diseases, and cursed with poor soil.
  • 28. AFRICA The example of Africa represents a warning that long-run economic growth cannot be taken for granted. However, some countries like Mauritius have been able to achieve economic growth through textile industry. Several African nations that are dependent on exporting commodities such as oil and coffee have benefitted by their higher prices. On a happier note: Africa’s economic performance since the mid 1990’s has been generally much better than it was in the preceding decades.