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Problems


         1. The accompanying table shows data on real GDP per capita for
           several countries between 1960 and 2000. (Source: The Penn
           World Table, Version 6.2.)


                       Argentina                Ghana                 South Korea             United States
               Real GDP  Per centage of  Real GDP  Per centage of  Real GDP  Per centage of  Real GDP  Per centage of
              per capita  1960  2000   per capita  1960  2000  per capita  1960  2000  per capita  1960  2000
                (2000  real GDP  real GDP  (2000  real GDP  real GDP  (2000  real GDP  real GDP  (2000  real GDP  real GDP
         Year  dollars)  per capita per capita  dollars)  per capita per capita  dollars)  per capita per capita  dollars)  per capita per capita

         1960  $7,838    ?       ?      $412      ?       ?     $1,458    ?       ?     $12,892   ?       ?
         1970   9,821    ?       ?      1,052     ?       ?      2,552    ?       ?      17,321   ?       ?
         1980  10,921    ?       ?      1,142     ?       ?      4,497    ?       ?      21,606   ?       ?
         1990   8,195    ?       ?      1,153     ?       ?      9,593    ?       ?      27,097   ?       ?
         2000  11,332    ?       ?      1,392     ?       ?     15,702    ?       ?      34,365   ?       ?


           a. Complete the table by expressing each year’s real GDP per  this question, assume constant growth rates for each of the
             capita as a percentage of its 1960 and 2000 levels.  regions that are fixed at their average value between 2000
           b.How does the growth in living standards from 1960 to 2000  and 2005.
             compare across these four nations? What might account for
             these differences?                                                                    Average GDP per
                                                                                       GDP per      capita growth
         2. The accompanying table shows the average annual growth rate
                                                               Region                capita (2005)   (2000–2005)
           in real GDP per capita for several countries between 1960 and
           2000. (Source: The Penn World Table, Version 6.2)   High-income countries  $28,612          1.9%
                                                               Middle-income countries  2,196          5.7
                              Average annual growth rate of    Low-income countries       494          3.6
                                  real GDP per capita
                                                               Source: World Bank.
           Years        Argentina     Ghana      South Korea
         1960 –1970      2.53%       15.54%         7.50%        a. Calculate the ratio of per capita GDP in 2005 for each of
         1970–1980       1.12         0.85          7.62          the following:
         1980–1990      −2.50         0.10         11.33            I. middle-income to high-income countries
                                                                   II. low-income to high-income countries
         1990 –2000      3.83         2.08          6.37
                                                                  III. low-income to middle-income countries
                                                                 b.Calculate the number of years it will take the low-income
           a. For each decade and for each country, use the Rule of 70  and middle-income countries to double their per
             where possible to calculate how long it would take for that  capita GDP.
             country’s real GDP per capita to double.            c. Calculate the per capita GDP of each of the regions in 2042.
           b.Suppose that the average annual growth rate that each  (Hint: How many times does their per capita GDP double in
             country achieved over the period 1990–2000 continues in-  37 years?)
             definitely into the future. Starting from 2000, use the Rule  d.Repeat part a with the projected per capita GDP in 2042.
             of 70 to calculate, where possible, the year in which a coun-
                                                                 e. Compare your answers to parts a and d. Comment on the
             try will have doubled its real GDP per capita.
                                                                  change in economic inequality between the regions.
         3. The accompanying table provides approximate statistics
                                                               4. You are hired as an economic consultant to the countries
           on per capita income levels and growth rates for regions
                                                                 of Albernia and Brittania. Each country’s current relation-
           defined by income levels. According to the Rule of 70, the
                                                                 ship between physical capital per worker and output per
           high-income countries are projected to double their per
                                                                 worker is given by the curve labeled Productivity 1 in the
           capita GDP in approximately 37 years, in 2042. Throughout






        406   section 7     Economic Growth and Productivity
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