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The Heckscher-Ohlin Theorem
The Heckscher-Ohlin Theorem says that countries
 will export products that use their abundant and
 cheap factor of production and import products that
 use the countries' scarce factor.
Cont…
The Heckscher-Ohlin theory:
  Emphasizes resource differences as the only source of
   trade
  Shows that comparative advantage is influenced by:
     Relative factor abundance (refers to countries)
     Relative factor intensity (refers to goods)

  Is also referred to as the factor-proportions theory
Introduction
General equilibrium mathematical model
 of international trade

Developed by Eli Heckscher and Bertil Ohlin


 Developed on the Ricardian theory of IT,
The Heckscher-Ohlin Assumptions—Basics
There are
  two countries, Home and Foreign
  two goods, Cloth and Food, and
  two resources, Labor and Land
      these are used to produce Cloth and Food
The Heckscher-Ohlin Assumptions—
Preferences
The preferences of all consumers in the world are
 identical.
The preferences of any individual are such that the
 Marginal Rate of Substitution is independent of the
 scale of consumption.
   The MRS of Wine for Cheese is the additional amount of Wine
    that would keep the individual's level of happiness unchanged
    even after the consumption of Cheese is reduced by one unit.
    Under this assumption, if the amounts of Cheese and Wine being
    consumed are, say, doubled, then the MRS remains unchanged. In
    other words, the MRS does not change if the ratio of the amounts
    of Cheese and Wine consumed, Cheese/ Wine, does not change.
The Ricardian Assumptions—Preferences
The preferences of all consumers in the world are
 identical.
For any individual, the Marginal Rate of
 Substitution is independent of the scale of
 consumption.
  An individual’s MRS of wine for cheese is the maximum
   amount of wine that he/she would be willing to pay for
   one unit of cheese.
  Under this assumption, if the amounts of Cheese and
   Wine being consumed are, say, doubled, then the MRS
   remains unchanged.
  In other words, the MRS does not change if the ratio of
   the amounts of Cheese and Wine consumed, Cheese/
   Wine, does not change.
Marginal Rate of Substitution
 Cheese      Wine      Cheese-     MRSWC
consumed   consumed   Wine Ratio
   (C)        (W)       (C/W)
    10         20         0.5        2
   600       1200         0.5        2
    10          5          2        1.6
The Heckscher-Ohlin Assumptions—
Markets
 All markets are perfectly competitive.
   That is, no buyer or seller of a commodity has the
    power to affect the price of the commodity by
    himself.
    More specifically, the market for a commodity is
    said to be perfectly competitive if:
      There are many sellers
      There are many buyers
      All sellers sell the exact same product

 Individuals make decisions so as to maximize
  happiness, whereas
 Firms make decisions so as to maximize profits
The Heckscher-Ohlin Assumptions—
Governments
Governments do not interfere with the smooth
 functioning of markets
  There are no taxes, subsidies, tariffs, quotas, etc.
However, although there is free trade in goods and
 services, there is no cross-border movement of
 resources, such as labor
The Heckscher-Ohlin Assumptions—
Technology
Technological knowledge is the same in both
 countries
Goods are produced (with land and labor) using
 technologies that satisfy Constant Returns to Scale.
  That is, if the producer of a commodity, say, doubles
    the amounts used of all resources, then the amount
    produced will have to double also.
The Heckscher-Ohlin Assumptions—Factor
Abundance
Home has a higher ratio of labor to land than
 Foreign does.
  That is, if TH, TF, LH, and LF denote the amounts of T
    (land or territory) and L (labor) that Home and Foreign
    are endowed with, then LH / TH > LF/ TF.
  L/T may be informally interpreted as the number of
   workers per acre of land.
  Home is said to be the “labor-abundant” country and
   Foreign is the “land-abundant” country.
The Heckscher-Ohlin Assumptions—Factor
Intensities
The production of food is land-intensive and the
 production of cloth is labor-intensive
  That is, the number of workers per acre (L/T) is always
    higher in cloth production than in food production
Prices of Goods
Let PC and PF denote the nominal prices of cloth and
 food.
Then, PC/PF is the relative price of cloth (in units of
 food) and
PF/PC is the relative price of food (in units of cloth)
  See earlier lecture
Prices of Factors
Let w be the nominal price (or, wage) of labor.
Let r be the nominal price (or, rent) of land
Then w/r is the relative price of labor (in units of
 land) and
r/w is the relative price of land (in units of labor)
  Example: If w = $10 per hour for one worker and r = $100
    per hour for one acre of land, then the relative wage for
    one worker is 1/10 acres of land and the relative rent on
    an acre of land is 10 hours of labor.
Nominal Prices
The nominal price of a commodity is simply the
 number of dollars (or any other relevant unit of
 account) that must be paid to buy one unit of the
 commodity
For example, the nominal price of labor—also called
 the nominal wage—may be $8 per hour
Real Prices
The real price of commodity X, in units of commodity
 Y, is the amount of Y that costs the same as one unit
 of X
For example, if the nominal price of labor is $8 per
 hour and the nominal price of a cup of coffee is $2,
 then the real price of labor is 4 cups of coffee per hour
Real prices are also called relative prices
Real and Nominal Prices
Real Price of X, in units of Y, is equal to Nominal
 Price of X / Nominal Price of Y
So, if w is the nominal wage and P is the nominal
 price of a cup of coffee, then the real wage is w / P.
For example, if w is $8 per hour and P is $2, then the
 real wage is w / P = 8/2 = 4 cups of coffee per hour, as
 in the previous slide.
As labor becomes more
Relative                       expensive relative to
price of                       land, cloth, which is
cloth,
PC/PF
                               labor-intensive in
               FPGP
                               production, finds itself
                               at a disadvantage and
                               becomes relatively
    17
                               more expensive
                               compared to food



                               As both Home and
                               Foreign use the same
                               technologies, the same
           5      Wage-rent    FPGP curve is applicable
                  ratio, w/r   in both countries
Under free trade, the
Relative                       relative price of cloth
price of                       will be the same in both
cloth,
PC/PF
                               countries
               FPGP
                               Therefore, the wage-
                               rent ratio will also be
    17                         the same in the two
                               countries




           5      Wage-rent
                  ratio, w/r
As labor becomes
                 Cloth                      relatively more
Wage-rent        production                 expensive, relatively
ratio, w/r                    Food          more land is used in
                              production
                                            production…

                                            … of both food and
                                            cloth

                                            But the number of acres
         5
                                            of land per worker is
                                            always higher in food
                                            production, reflecting
                                            the assumption that
             4                Acres of      food production is land
                 12
                              Land per      intensive
                              worker, T/L
As both Home and
                                              Foreign use the same
                 Cloth
Wage-rent                                     technologies, these two
                 production
ratio, w/r                     Food           curves must be true in
                               production     both countries.

                                        As free trade equalizes the
                                        wage-rent ratio worldwide,
                                        acres of land per worker in
                                        cloth production must be the
         5
                                        same worldwide.
                                        Same must be true for food
                                        production.
                                        Therefore, Foreign, which has
             4   12       Acres of
                          Land per      more land per worker than
                          worker, T/L   Home, must produce relatively
                                        more food …
Relative Supplies
Therefore, if the same w/r prevails in both
 countries, then
QF/QC must be higher in Foreign than in Home.
 Equivalently,
QC/QF must be higher in Home than in Foreign.
  This result is called the Rybczynski effect; see the
    section “Resources and Output” in the textbook
Relative Supplies
From the FPGP Curve in Fig. 4-6, any particular
 value of w/r is linked to a specific value of PC/PF.
Therefore, if the same w/r prevails in the two
 countries, then the same PC/PF must also prevail in
 the two countries. And at that common value of
 PC/PF …
  QF/QC must be higher in Foreign than in Home.
   Equivalently,
  QC/QF must be higher in Home than in Foreign.
In Figure 4-5, we saw that
                                                                          at w/r = 5, Foreign must
                                          RSFOREIGN                       produce relatively more
       Relative
       price of                                                           food and Home must
                                                          RSHOME
       cloth,                                                             produce relatively more
       PC/PF                                                              cloth.
                                                                          In Figure 4-6 we saw that
                                                                          w/r =5 corresponds to PC/PF
              17
                                                                          = 17.
                                                                          Therefore, Home must
                                                                          produce relatively more
                                                                          cloth at PC/PF = 17, or
                                                                          indeed at any other relative
                                                                          price.
                                                      Yards of cloth produced
As cloth becomes more expensive relative to           per calorie of food
food, the output of cloth will increase relative      produced, QC/QF
to food, Therefore, the relative supply curves
slope upward.
The H-O assumptions
                                                                              about preferences imply
    Relative                                                                  that that consumer
    price of
                                                                              behavior can be
    cloth,
    PC/PF                                                                     summarized by this
                                                                              Relative Demand curve
                                                                              and that the same curve is
             17                                                               true in both Home and
                                                                              Foreign




                                   3                            Yards of cloth consumed
In this figure, when the price of a yard of cloth is 17 times   per calorie of food
the price of a calorie of food, the number of yards of          consumed, QC/QF
cloth consumed is 3 times the number of calories of food
consumed, for every individual worldwide. Why isn’t the
latter ratio different for different people?
Relative Demands
Let’s say that Alex consumes 3 times as many yards of
 cloth as calories of food (relative demand is QC/QF = 3)
 when a yard of cloth is 17 times as expensive as a
 calorie of food (relative price PC/PF = 17)
If Alex’s income changes, his relative demand should
 not change because MRS is independent of the scale
 of consumption
Relative Demands
Since identical preferences have been assumed, if
 the relative price of cloth is PC/PF = 17, then Betty’s
 relative demand must also be QC/QF = 3
 irrespective of Betty’s income
Therefore, the same relative demand curve
 represents everybody
Therefore, the same relative demand curve
 represents both Home and Foreign
Figure 4-11: Relative Supplies and
    Demands
                                           The relative supplies
                                            and demands can be
                                            combined to find the
                 RSFOREIGN                  autarky relative prices in
Relative                                    Home and Foreign
price of                        RSHOME
cloth,
                                           Clearly, they are
PC/PF                                       different
                                           Therefore, trade will
                                            occur if it is allowed
                                           Since Home and Foreign
Foreign                                     differ only in their
                                            relative factor
                                            endowments, that
  Home                        RD            difference must be the
                                            reason why trade occurs
                             Yards of cloth
                             produced per calorie
                             of food produced,
                             QC/QF
Who will export what?
In autarky, the labor-                             PC/PF
 intensive good is relatively
 cheaper in the labor-
 abundant country                                       Foreign
                                              autarky
Therefore, under free trade,
 the labor-intensive good is                            Free
 exported by the labor-                                 Trade
                                                        Home
 abundant country…
… and the land-intensive
 good is exported by the land-   Foreign : land abundant, labor scarce
                                 Home: land scarce, labor abundant
 abundant country                Cloth: labor intensive production
                                 Food: land intensive production
The Heckscher-Ohlin Theorem
To repeat, when trade occurs, the labor-
 abundant country (Home) exports the labor-
 intensive good (cloth) and
The land-abundant country (Foreign) exports
 the land-intensive good (food)
In general, each country exports the good
 that makes intensive use of the resource
 that is abundant in that country
This is called the Heckscher-Ohlin Theorem
  See the section “Relative Prices and the Pattern of
    Trade” in chapter 4 of the textbook
Goods Prices: from autarky to
 free trade
In autarky, the labor-                              PC/PF
 intensive good is relatively
 cheaper in the labor-
 abundant country                                        Foreign
                                               autarky
Free trade makes relative
 prices equal everywhere                                 Free
                                                         Trade
                                                         Home
Therefore, the labor-intensive
 good becomes more
 expensive in the labor-
 abundant country, and less       Foreign : land abundant, labor scarce
                                  Home: land scarce, labor abundant
 expensive in the labor-scarce    Cloth: labor intensive production
 country.                         Food: land intensive production
Fig. 4-11 showed that,
        Relative                                          in autarky, the relative
        price of
                                                          price of cloth is higher
        cloth,
        PC/PF
                                                          in Foreign
                                          FPGP
                                                          Therefore, in autarky,
                                                          the wage-rent ratio
        Foreign                                           must also be higher in
                                                          Foreign
Free Trade
                                                          Free trade makes the
         Home                                             wage-rent ratio the
                                                          same in the two
                                                          countries

                   Home         Foreign      Wage-rent
                                             ratio, w/r
                          Free Trade
Factor Prices: from autarky to
free trade
                                            PC/PF       w/r
In autarky, the wage-rent ratio
 is higher in the labor-scarce
 country and lower in the labor-                       Foreign
 abundant country                              autarky


When autarky ends and free                            Free
 trade begins, the wage-rent                           Trade
                                                       Home
 ratio falls in the labor-scarce
 country and rises in the labor
 abundant country                Foreign : land abundant, labor scarce
                                       Home: land scarce, labor abundant
                                       Cloth: labor intensive production
                                       Food: land intensive production
Real Wage and Real Rent
 w      Nominal wage: currency earned per hour of a worker’s labor
 w/PC   Real wage: yards of cloth purchasable with the nominal wage
 w/PF   Real wage: calories of food purchasable with the nominal wage
 r      Nominal rent: currency earned per hour per acre of land
 r/PC   Real rent: yards of cloth purchasable with the nominal rent
 r/PF   Real rent: calories of food purchasable with the nominal rent
Marginal Product of a Resource
The Marginal Product (MP) of labor in cloth
 production is the additional amount of cloth that
 would be produced if an additional unit of labor is
 employed
  We can similarly define
     Marginal Product of labor in food production,
     Marginal Product of land in cloth production, and

     Marginal Product of land in food production
Marginal Product of a Resource
See page Figure 7-2 of the textbook for more on the
 Marginal Product.
Example: Level of Resource Use
Suppose an additional worker produces an
 additional 5 yards of cloth in one hour’s work.
 Then MP = 5.
  See page Figure 7-2 of the textbook for more on the
    Marginal Product.
Therefore, to make one additional yard of cloth,
 you need only 1/5 of a worker.
In general, the labor needed to make one unit of
 cloth can be calculated as 1/MP
Marginal Cost is the additional cost of an
 additional unit of output
Therefore, MC = w × (1/MP) = w/MP
Price = Marginal Cost
If P > MC at the current level of production,
 additional production would increase profit
If P < MC at the current level of production,
 reduced production would increase profit
Therefore, profit is maximized only if P = MC
Therefore, if a good is being produced, P = MC
 must be true
Real Wage and Real Rent
Therefore, P = MC = w / MP           w
Therefore, w/P = MP                     = MPLC
This implies that the real wage in
 units of, say, cloth is the Marginal
                                      PC
 Product of labor in the production
 of cloth
                                         r
Similarly, the real rent in units of
 food is the Marginal Product of
                                           = MPTF

 land in food production                PF
Real Factor Rewards and Productivity
In general, the real payment to a resource is equal
 to its productivity (or, marginal product)
  This is the main conclusion of the Marginal
    Productivity Theory of Income Distribution
Factor Use and Factor Productivity—
    Labor-Abundant Country
                                                                      Cloth
                                Wage-rent                             production
                                ratio, w/r                                           Food
 We saw earlier that when                                                           production
  autarky ends and free trade
  begins w/r rises in the labor-
  abundant country (Home).              Foreign
  Therefore,
 More land is used per worker        Free trade
    in cloth production and in
        food production
                                            Home
 This makes labor more
  productive…
 …and land less productive
 Therefore,
        w/PC and w/PF both increase, and
        r/PC and r/PF both decrease.                                                Acres of
   • Abundant resource                                                               Land per
     benefits from                           Foreign : land abundant, labor scarce   worker, T/L
     globalization                           Home: land scarce, labor abundant
   • Scarce resource loses                   Cloth: labor intensive production
                                             Food: land intensive production
Factor Use and Factor Productivity—
    Land-Abundant Country
                                                                       Cloth
                                Wage-rent                              production
                                ratio, w/r                                            Food
 When autarky ends and free                                                          production
  trade begins w/r falls in the
  land-abundant country
  (Foreign). Therefore,                   Foreign
 Less land is used per worker
                                        Free trade
    in cloth production and in
        food production
 This makes labor less                    Home
  productive…
 …and land more productive
 Therefore,
        w/PC and w/PF both decrease,
         and
        r/PC and r/PF both increase.
                                                                                      Acres of
   • Abundant resource                                                                Land per
     benefits from                            Foreign : land abundant, labor scarce   worker, T/L
     globalization                            Home: land scarce, labor abundant
   • Scarce resource loses                    Cloth: labor intensive production
                                              Food: land intensive production
Trade: Who Gains and Who Loses?
In short, each country’s abundant resource benefits
 from trade and
Each country’s scarce resource loses from trade
Factor Price Equalization
                                                               Cloth
Free trade equalizes        Wage-rent                         production
 the wage-rent ratio         ratio, w/r                                      Food
Therefore, the land-                                                        production
 per-worker ratio in
 cloth production is Foreign, autarky
 also equalized
This equalizes the        Free trade
 productivity of
 labor in cloth
 production in the    Home, autarky
 two countries
This equalizes w/PC
 in the two countries
In a similar way,                                                           Acres of
 w/PF, r/PC, and r/PF                                                        Land per
 each become                         Foreign : land abundant, labor scarce   worker, T/L
 equalized                           Home: land scarce, labor abundant
 worldwide                           Cloth: labor intensive production
                                      Food: land intensive production
Marginal          Marginal Productivity of Labor
Productivity      = Real Wage, w/PC

                          These curves reflect
                          Diminishing Returns to
                          each resource, which, in
                          turn, is a consequence of
                          the assumption of
                          Constant Returns to Scale

                        Marginal Productivity of Land
                        = Real Rent, r/PC

               Acres of land per   Similar curves can
               worker, T/L         be drawn for food
                                   production
Factor Price Equalization
We saw earlier that free trade makes w/r equal in
 Home and Foreign
Since both countries use the same technology, the
 equalization of w/r implies that the number of
 workers used per acre of land in the production of,
 say, cloth will also become the same in both countries
Factor Price Equalization
Therefore, the productivity (or MP) of labor in the
 production of cloth will become the same in both
 countries and
The productivity (or MP) of land in the production of
 cloth will become the same in both countries
Factor Price Equalization
Therefore, the real wage in units of cloth, w/PC,
 will become the same in both countries (since the
 real wage is equal to the marginal product) and
r/PC will become the same in both countries
In the same way, one can show that
  w/PF will become the same in both countries and
  r/PF will become the same in both countries.
Factor Price Equalization Theorem
The Factor Price Equalization Theorem: When there
 is free trade in goods, the real reward for any
 resource (in units of either good) becomes the
 same in both countries!
  An implication of this result is that if there is free trade
    in goods, resources will have no incentive to move from
    one country to another
Factor Price Equalization Theorem
Heckscher-Ohlin theory implies FPE.
But does FPE imply that free trade will make
 everybody equally rich?
Certainly not!
  Not every individual is endowed with the same amount
    of resources
How accurate is the Heckscher-Ohlin
theory?
 Sadly, it’s not very accurate by itself
   It explains North-South trade quite well…
   But not trade within the North
 But, if modified to take cross-country differences
  in technology into account, it fits the data well
 So, a theory that combines the insights of Ricardo
  and Heckscher-Ohlin might be best
The contribution of Heckscher-Ohlin theory
 The theory’s main contribution is to point out that
  cross-country differences in relative resource
  availability can explain trade
 It does not claim that differences in relative
  resource availability are the only reason why trade
  occurs
Criticism
Poor predictive power
Factor equalization theorem
Identical production function
Capital as endowment
Homogeneous capital
No unemploymnent
No room for firms
List of Economies by GDP




  List by the International Monetary Fund(2011)
Growth Rate of major economies
10 largest economies in 2030
China
Current GDP (IMF-list): $10,050
GDP 2015 (IMF-estimate): $17,120
Projected GDP growth rate (real): 11%
Estimated GDP 2030: $83,778
United States:
Current GDP (IMF-list): $14,256
GDP 2015 (IMF-estimate): $18,029
Projected GDP growth rate (real): 4.4%
Estimated GDP 2030: $33,785
India
Current GDP (IMF-list): $4,001
GDP 2015 (IMF-estimate): $6,384
Projected GDP growth rate (real): 9.8%
Estimated GDP 2030: $25,942
Japan
Current GDP (IMF-list): $4,308
GDP 2015 (IMF-estimate): $5,070
Projected GDP growth rate (real): 3.3%
Estimated GDP 2030: $8,266
Russia
Current GDP (IMF-list): $2,218
GDP 2015 (IMF-estimate): $2,944
Projected GDP growth rate (real): 5.8%
Estimated GDP 2030: $6,878
Brazil
Current GDP (IMF-list): $2,181
GDP 2015 (IMF-estimate): $2,878
Projected GDP growth rate (real): 5.7%
Estimated GDP 2030: $6,611
Germany
Current GDP (IMF-list): $2,932
GDP 2015 (IMF-estimate): $3,449
Projected GDP growth rate (real): 3.3%
Estimated GDP 2030: $5,619
Indonesia
Current GDP (IMF-list): $1,027
GDP 2015 (IMF-estimate): $1,531
Projected GDP growth rate (real): 8.3%
Estimated GDP 2030: $5,075
Mexico
Current GDP (IMF-list): $1,549
GDP 2015 (IMF-estimate): $2,067
Projected GDP growth rate (real): 5.9%
Estimated GDP 2030: $4,907
United Kingdom
Current GDP (IMF-list): $2,181
GDP 2015 (IMF-estimate): $2,642
Projected GDP growth rate (real): 3.9%
Estimated GDP 2030: $4,702
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Heckscher ohlin

  • 1.
  • 2. The Heckscher-Ohlin Theorem The Heckscher-Ohlin Theorem says that countries will export products that use their abundant and cheap factor of production and import products that use the countries' scarce factor.
  • 3. Cont… The Heckscher-Ohlin theory: Emphasizes resource differences as the only source of trade Shows that comparative advantage is influenced by:  Relative factor abundance (refers to countries)  Relative factor intensity (refers to goods) Is also referred to as the factor-proportions theory
  • 4. Introduction General equilibrium mathematical model of international trade Developed by Eli Heckscher and Bertil Ohlin  Developed on the Ricardian theory of IT,
  • 5.
  • 6. The Heckscher-Ohlin Assumptions—Basics There are two countries, Home and Foreign two goods, Cloth and Food, and two resources, Labor and Land  these are used to produce Cloth and Food
  • 7. The Heckscher-Ohlin Assumptions— Preferences The preferences of all consumers in the world are identical. The preferences of any individual are such that the Marginal Rate of Substitution is independent of the scale of consumption.  The MRS of Wine for Cheese is the additional amount of Wine that would keep the individual's level of happiness unchanged even after the consumption of Cheese is reduced by one unit. Under this assumption, if the amounts of Cheese and Wine being consumed are, say, doubled, then the MRS remains unchanged. In other words, the MRS does not change if the ratio of the amounts of Cheese and Wine consumed, Cheese/ Wine, does not change.
  • 8. The Ricardian Assumptions—Preferences The preferences of all consumers in the world are identical. For any individual, the Marginal Rate of Substitution is independent of the scale of consumption. An individual’s MRS of wine for cheese is the maximum amount of wine that he/she would be willing to pay for one unit of cheese. Under this assumption, if the amounts of Cheese and Wine being consumed are, say, doubled, then the MRS remains unchanged. In other words, the MRS does not change if the ratio of the amounts of Cheese and Wine consumed, Cheese/ Wine, does not change.
  • 9. Marginal Rate of Substitution Cheese Wine Cheese- MRSWC consumed consumed Wine Ratio (C) (W) (C/W) 10 20 0.5 2 600 1200 0.5 2 10 5 2 1.6
  • 10. The Heckscher-Ohlin Assumptions— Markets All markets are perfectly competitive. That is, no buyer or seller of a commodity has the power to affect the price of the commodity by himself.  More specifically, the market for a commodity is said to be perfectly competitive if:  There are many sellers  There are many buyers  All sellers sell the exact same product Individuals make decisions so as to maximize happiness, whereas Firms make decisions so as to maximize profits
  • 11. The Heckscher-Ohlin Assumptions— Governments Governments do not interfere with the smooth functioning of markets There are no taxes, subsidies, tariffs, quotas, etc. However, although there is free trade in goods and services, there is no cross-border movement of resources, such as labor
  • 12. The Heckscher-Ohlin Assumptions— Technology Technological knowledge is the same in both countries Goods are produced (with land and labor) using technologies that satisfy Constant Returns to Scale. That is, if the producer of a commodity, say, doubles the amounts used of all resources, then the amount produced will have to double also.
  • 13. The Heckscher-Ohlin Assumptions—Factor Abundance Home has a higher ratio of labor to land than Foreign does. That is, if TH, TF, LH, and LF denote the amounts of T (land or territory) and L (labor) that Home and Foreign are endowed with, then LH / TH > LF/ TF. L/T may be informally interpreted as the number of workers per acre of land. Home is said to be the “labor-abundant” country and Foreign is the “land-abundant” country.
  • 14. The Heckscher-Ohlin Assumptions—Factor Intensities The production of food is land-intensive and the production of cloth is labor-intensive That is, the number of workers per acre (L/T) is always higher in cloth production than in food production
  • 15. Prices of Goods Let PC and PF denote the nominal prices of cloth and food. Then, PC/PF is the relative price of cloth (in units of food) and PF/PC is the relative price of food (in units of cloth) See earlier lecture
  • 16. Prices of Factors Let w be the nominal price (or, wage) of labor. Let r be the nominal price (or, rent) of land Then w/r is the relative price of labor (in units of land) and r/w is the relative price of land (in units of labor) Example: If w = $10 per hour for one worker and r = $100 per hour for one acre of land, then the relative wage for one worker is 1/10 acres of land and the relative rent on an acre of land is 10 hours of labor.
  • 17. Nominal Prices The nominal price of a commodity is simply the number of dollars (or any other relevant unit of account) that must be paid to buy one unit of the commodity For example, the nominal price of labor—also called the nominal wage—may be $8 per hour
  • 18. Real Prices The real price of commodity X, in units of commodity Y, is the amount of Y that costs the same as one unit of X For example, if the nominal price of labor is $8 per hour and the nominal price of a cup of coffee is $2, then the real price of labor is 4 cups of coffee per hour Real prices are also called relative prices
  • 19. Real and Nominal Prices Real Price of X, in units of Y, is equal to Nominal Price of X / Nominal Price of Y So, if w is the nominal wage and P is the nominal price of a cup of coffee, then the real wage is w / P. For example, if w is $8 per hour and P is $2, then the real wage is w / P = 8/2 = 4 cups of coffee per hour, as in the previous slide.
  • 20. As labor becomes more Relative expensive relative to price of land, cloth, which is cloth, PC/PF labor-intensive in FPGP production, finds itself at a disadvantage and becomes relatively 17 more expensive compared to food As both Home and Foreign use the same technologies, the same 5 Wage-rent FPGP curve is applicable ratio, w/r in both countries
  • 21. Under free trade, the Relative relative price of cloth price of will be the same in both cloth, PC/PF countries FPGP Therefore, the wage- rent ratio will also be 17 the same in the two countries 5 Wage-rent ratio, w/r
  • 22. As labor becomes Cloth relatively more Wage-rent production expensive, relatively ratio, w/r Food more land is used in production production… … of both food and cloth But the number of acres 5 of land per worker is always higher in food production, reflecting the assumption that 4 Acres of food production is land 12 Land per intensive worker, T/L
  • 23. As both Home and Foreign use the same Cloth Wage-rent technologies, these two production ratio, w/r Food curves must be true in production both countries. As free trade equalizes the wage-rent ratio worldwide, acres of land per worker in cloth production must be the 5 same worldwide. Same must be true for food production. Therefore, Foreign, which has 4 12 Acres of Land per more land per worker than worker, T/L Home, must produce relatively more food …
  • 24. Relative Supplies Therefore, if the same w/r prevails in both countries, then QF/QC must be higher in Foreign than in Home. Equivalently, QC/QF must be higher in Home than in Foreign. This result is called the Rybczynski effect; see the section “Resources and Output” in the textbook
  • 25. Relative Supplies From the FPGP Curve in Fig. 4-6, any particular value of w/r is linked to a specific value of PC/PF. Therefore, if the same w/r prevails in the two countries, then the same PC/PF must also prevail in the two countries. And at that common value of PC/PF … QF/QC must be higher in Foreign than in Home. Equivalently, QC/QF must be higher in Home than in Foreign.
  • 26. In Figure 4-5, we saw that at w/r = 5, Foreign must RSFOREIGN produce relatively more Relative price of food and Home must RSHOME cloth, produce relatively more PC/PF cloth. In Figure 4-6 we saw that w/r =5 corresponds to PC/PF 17 = 17. Therefore, Home must produce relatively more cloth at PC/PF = 17, or indeed at any other relative price. Yards of cloth produced As cloth becomes more expensive relative to per calorie of food food, the output of cloth will increase relative produced, QC/QF to food, Therefore, the relative supply curves slope upward.
  • 27. The H-O assumptions about preferences imply Relative that that consumer price of behavior can be cloth, PC/PF summarized by this Relative Demand curve and that the same curve is 17 true in both Home and Foreign 3 Yards of cloth consumed In this figure, when the price of a yard of cloth is 17 times per calorie of food the price of a calorie of food, the number of yards of consumed, QC/QF cloth consumed is 3 times the number of calories of food consumed, for every individual worldwide. Why isn’t the latter ratio different for different people?
  • 28. Relative Demands Let’s say that Alex consumes 3 times as many yards of cloth as calories of food (relative demand is QC/QF = 3) when a yard of cloth is 17 times as expensive as a calorie of food (relative price PC/PF = 17) If Alex’s income changes, his relative demand should not change because MRS is independent of the scale of consumption
  • 29. Relative Demands Since identical preferences have been assumed, if the relative price of cloth is PC/PF = 17, then Betty’s relative demand must also be QC/QF = 3 irrespective of Betty’s income Therefore, the same relative demand curve represents everybody Therefore, the same relative demand curve represents both Home and Foreign
  • 30. Figure 4-11: Relative Supplies and Demands  The relative supplies and demands can be combined to find the RSFOREIGN autarky relative prices in Relative Home and Foreign price of RSHOME cloth,  Clearly, they are PC/PF different  Therefore, trade will occur if it is allowed  Since Home and Foreign Foreign differ only in their relative factor endowments, that Home RD difference must be the reason why trade occurs Yards of cloth produced per calorie of food produced, QC/QF
  • 31. Who will export what? In autarky, the labor- PC/PF intensive good is relatively cheaper in the labor- abundant country Foreign autarky Therefore, under free trade, the labor-intensive good is Free exported by the labor- Trade Home abundant country… … and the land-intensive good is exported by the land- Foreign : land abundant, labor scarce Home: land scarce, labor abundant abundant country Cloth: labor intensive production Food: land intensive production
  • 32. The Heckscher-Ohlin Theorem To repeat, when trade occurs, the labor- abundant country (Home) exports the labor- intensive good (cloth) and The land-abundant country (Foreign) exports the land-intensive good (food) In general, each country exports the good that makes intensive use of the resource that is abundant in that country This is called the Heckscher-Ohlin Theorem See the section “Relative Prices and the Pattern of Trade” in chapter 4 of the textbook
  • 33. Goods Prices: from autarky to free trade In autarky, the labor- PC/PF intensive good is relatively cheaper in the labor- abundant country Foreign autarky Free trade makes relative prices equal everywhere Free Trade Home Therefore, the labor-intensive good becomes more expensive in the labor- abundant country, and less Foreign : land abundant, labor scarce Home: land scarce, labor abundant expensive in the labor-scarce Cloth: labor intensive production country. Food: land intensive production
  • 34. Fig. 4-11 showed that, Relative in autarky, the relative price of price of cloth is higher cloth, PC/PF in Foreign FPGP Therefore, in autarky, the wage-rent ratio Foreign must also be higher in Foreign Free Trade Free trade makes the Home wage-rent ratio the same in the two countries Home Foreign Wage-rent ratio, w/r Free Trade
  • 35. Factor Prices: from autarky to free trade PC/PF w/r In autarky, the wage-rent ratio is higher in the labor-scarce country and lower in the labor- Foreign abundant country autarky When autarky ends and free Free trade begins, the wage-rent Trade Home ratio falls in the labor-scarce country and rises in the labor abundant country Foreign : land abundant, labor scarce Home: land scarce, labor abundant Cloth: labor intensive production Food: land intensive production
  • 36.
  • 37. Real Wage and Real Rent w Nominal wage: currency earned per hour of a worker’s labor w/PC Real wage: yards of cloth purchasable with the nominal wage w/PF Real wage: calories of food purchasable with the nominal wage r Nominal rent: currency earned per hour per acre of land r/PC Real rent: yards of cloth purchasable with the nominal rent r/PF Real rent: calories of food purchasable with the nominal rent
  • 38. Marginal Product of a Resource The Marginal Product (MP) of labor in cloth production is the additional amount of cloth that would be produced if an additional unit of labor is employed We can similarly define  Marginal Product of labor in food production,  Marginal Product of land in cloth production, and  Marginal Product of land in food production
  • 39. Marginal Product of a Resource See page Figure 7-2 of the textbook for more on the Marginal Product.
  • 40. Example: Level of Resource Use Suppose an additional worker produces an additional 5 yards of cloth in one hour’s work. Then MP = 5. See page Figure 7-2 of the textbook for more on the Marginal Product. Therefore, to make one additional yard of cloth, you need only 1/5 of a worker. In general, the labor needed to make one unit of cloth can be calculated as 1/MP Marginal Cost is the additional cost of an additional unit of output Therefore, MC = w × (1/MP) = w/MP
  • 41. Price = Marginal Cost If P > MC at the current level of production, additional production would increase profit If P < MC at the current level of production, reduced production would increase profit Therefore, profit is maximized only if P = MC Therefore, if a good is being produced, P = MC must be true
  • 42. Real Wage and Real Rent Therefore, P = MC = w / MP w Therefore, w/P = MP = MPLC This implies that the real wage in units of, say, cloth is the Marginal PC Product of labor in the production of cloth r Similarly, the real rent in units of food is the Marginal Product of = MPTF land in food production PF
  • 43. Real Factor Rewards and Productivity In general, the real payment to a resource is equal to its productivity (or, marginal product) This is the main conclusion of the Marginal Productivity Theory of Income Distribution
  • 44. Factor Use and Factor Productivity— Labor-Abundant Country Cloth Wage-rent production ratio, w/r Food  We saw earlier that when production autarky ends and free trade begins w/r rises in the labor- abundant country (Home). Foreign Therefore,  More land is used per worker Free trade  in cloth production and in food production Home  This makes labor more productive…  …and land less productive  Therefore,  w/PC and w/PF both increase, and  r/PC and r/PF both decrease. Acres of • Abundant resource Land per benefits from Foreign : land abundant, labor scarce worker, T/L globalization Home: land scarce, labor abundant • Scarce resource loses Cloth: labor intensive production Food: land intensive production
  • 45. Factor Use and Factor Productivity— Land-Abundant Country Cloth Wage-rent production ratio, w/r Food  When autarky ends and free production trade begins w/r falls in the land-abundant country (Foreign). Therefore, Foreign  Less land is used per worker Free trade  in cloth production and in food production  This makes labor less Home productive…  …and land more productive  Therefore,  w/PC and w/PF both decrease, and  r/PC and r/PF both increase. Acres of • Abundant resource Land per benefits from Foreign : land abundant, labor scarce worker, T/L globalization Home: land scarce, labor abundant • Scarce resource loses Cloth: labor intensive production Food: land intensive production
  • 46. Trade: Who Gains and Who Loses? In short, each country’s abundant resource benefits from trade and Each country’s scarce resource loses from trade
  • 47. Factor Price Equalization Cloth Free trade equalizes Wage-rent production the wage-rent ratio ratio, w/r Food Therefore, the land- production per-worker ratio in cloth production is Foreign, autarky also equalized This equalizes the Free trade productivity of labor in cloth production in the Home, autarky two countries This equalizes w/PC in the two countries In a similar way, Acres of w/PF, r/PC, and r/PF Land per each become Foreign : land abundant, labor scarce worker, T/L equalized Home: land scarce, labor abundant worldwide Cloth: labor intensive production Food: land intensive production
  • 48. Marginal Marginal Productivity of Labor Productivity = Real Wage, w/PC These curves reflect Diminishing Returns to each resource, which, in turn, is a consequence of the assumption of Constant Returns to Scale Marginal Productivity of Land = Real Rent, r/PC Acres of land per Similar curves can worker, T/L be drawn for food production
  • 49. Factor Price Equalization We saw earlier that free trade makes w/r equal in Home and Foreign Since both countries use the same technology, the equalization of w/r implies that the number of workers used per acre of land in the production of, say, cloth will also become the same in both countries
  • 50. Factor Price Equalization Therefore, the productivity (or MP) of labor in the production of cloth will become the same in both countries and The productivity (or MP) of land in the production of cloth will become the same in both countries
  • 51. Factor Price Equalization Therefore, the real wage in units of cloth, w/PC, will become the same in both countries (since the real wage is equal to the marginal product) and r/PC will become the same in both countries In the same way, one can show that w/PF will become the same in both countries and r/PF will become the same in both countries.
  • 52. Factor Price Equalization Theorem The Factor Price Equalization Theorem: When there is free trade in goods, the real reward for any resource (in units of either good) becomes the same in both countries! An implication of this result is that if there is free trade in goods, resources will have no incentive to move from one country to another
  • 53. Factor Price Equalization Theorem Heckscher-Ohlin theory implies FPE. But does FPE imply that free trade will make everybody equally rich? Certainly not! Not every individual is endowed with the same amount of resources
  • 54. How accurate is the Heckscher-Ohlin theory? Sadly, it’s not very accurate by itself It explains North-South trade quite well… But not trade within the North But, if modified to take cross-country differences in technology into account, it fits the data well So, a theory that combines the insights of Ricardo and Heckscher-Ohlin might be best
  • 55. The contribution of Heckscher-Ohlin theory The theory’s main contribution is to point out that cross-country differences in relative resource availability can explain trade It does not claim that differences in relative resource availability are the only reason why trade occurs
  • 56. Criticism Poor predictive power Factor equalization theorem Identical production function Capital as endowment Homogeneous capital No unemploymnent No room for firms
  • 57.
  • 58. List of Economies by GDP List by the International Monetary Fund(2011)
  • 59.
  • 60.
  • 61. Growth Rate of major economies
  • 63. China Current GDP (IMF-list): $10,050 GDP 2015 (IMF-estimate): $17,120 Projected GDP growth rate (real): 11% Estimated GDP 2030: $83,778
  • 64. United States: Current GDP (IMF-list): $14,256 GDP 2015 (IMF-estimate): $18,029 Projected GDP growth rate (real): 4.4% Estimated GDP 2030: $33,785
  • 65. India Current GDP (IMF-list): $4,001 GDP 2015 (IMF-estimate): $6,384 Projected GDP growth rate (real): 9.8% Estimated GDP 2030: $25,942
  • 66. Japan Current GDP (IMF-list): $4,308 GDP 2015 (IMF-estimate): $5,070 Projected GDP growth rate (real): 3.3% Estimated GDP 2030: $8,266
  • 67. Russia Current GDP (IMF-list): $2,218 GDP 2015 (IMF-estimate): $2,944 Projected GDP growth rate (real): 5.8% Estimated GDP 2030: $6,878
  • 68. Brazil Current GDP (IMF-list): $2,181 GDP 2015 (IMF-estimate): $2,878 Projected GDP growth rate (real): 5.7% Estimated GDP 2030: $6,611
  • 69. Germany Current GDP (IMF-list): $2,932 GDP 2015 (IMF-estimate): $3,449 Projected GDP growth rate (real): 3.3% Estimated GDP 2030: $5,619
  • 70. Indonesia Current GDP (IMF-list): $1,027 GDP 2015 (IMF-estimate): $1,531 Projected GDP growth rate (real): 8.3% Estimated GDP 2030: $5,075
  • 71. Mexico Current GDP (IMF-list): $1,549 GDP 2015 (IMF-estimate): $2,067 Projected GDP growth rate (real): 5.9% Estimated GDP 2030: $4,907
  • 72. United Kingdom Current GDP (IMF-list): $2,181 GDP 2015 (IMF-estimate): $2,642 Projected GDP growth rate (real): 3.9% Estimated GDP 2030: $4,702