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International Trade and Finance



                  Notes          from trade liberalization would raise the quantity of intra-industry trade, but it’s proportion measured
                                 by the Grubel-Lloyd Index would remain the same. Suppose that trade liberalization doubled both
                                 imports and exports within a particular industry.
                                                         Table 3 : The dynamics of the GL Index

                                     Category             X i      M i     |X  – M |   (X  + M )    GL Index
                                                                             i
                                                                                         i
                                                                                 i
                                                                                             i
                                     Pre-Liberalization   200      100       100          300         0.667
                                     Pre-Trade Barrier    200      100       100          300         0.667
                                     Post-Liberalization  400      200       200          600         0.667
                                     Post-Trade Barrier   100      100        0           200         1.00

                                 We can see from Table 3 that the net trade-gross trade ratio is multiplied and divided by the same
                                 scalar, two in this case, the value of the net trade-gross trade ratio, and hence the Grubel-Lloyd Index,
                                 remains the same :
                                                        2X i  − 2M i  2X i  − M i  X i  − M i
                                                       (2X i  + 2M  ) i   =  ( 2X i  + M  ) i   =   (X i  + M  ) i  .         ... (8)

                                 Also in Table 3, we see the possible effect of some trade barrier imposed. The exports of one country
                                 are decreased, and thus the quantity of intra-industry trade has fallen, yet this decrease in exports
                                 has put the two countries in perfect trade balance in this industry. The Grubel-Lloyd Index has actually
                                 risen from 0.667 to 1.00 even though intra-industry trade has decreased. This does not mean the
                                 Grubel-Lloyd Index is of no use when comparing trade over time, we must simply be cautious when
                                 interpreting change in the index.
                                 Changes in intra-industry trade over time have significant effects on adjustment costs resulting from
                                 that change in trade—adjustment costs that have no doubt been taking place in recent years from the
                                 implementation of the FTA, NAFTA, and EU. In the first work on empirical intra-industry trade,
                                 Balassa (1966) noted that due to the presence of intra-industry trade, difficulties of adjustment have
                                 been overstated. Of particular importance to Canadian trade, if the FTA and/or the NAFTA brought
                                 about adjustment within the motor vehicle industry—manufacturing a different type of motor vehicle
                                 or switching to parts manufacturing—these adjustment costs would be much less than adjustment
                                 from the motor vehicle industry to another industry, such as textiles. Manufacturing a different type
                                 of motor vehicle, whether it be different on the quality or variety spectrum, would most likely entail
                                 similar production methods and employment practices such that any adjustment process would not
                                 be difficult. In fact, this is an adjustment that occurs quite regularly with the introduction of new
                                 automobile models. Even a switch from automotive manufacturing to automotive parts manufacturing
                                 would benefit from previous industry knowledge; automobile and automotive parts manufacturers
                                 would necessarily have knowledge of each others’ markets since one supplies the other with an
                                 intermediate good(s). Production methods, as well as employment practices, would undergo much
                                 more change than the previous example, but not as much as a switch to the textile industry.
                                 Due to the concern of measuring adjustment costs due to trade liberalization and because of the
                                 dynamic problem of the Grubel-Lloyd Index, a variant of the Grubel-Lloyd Index, called the Marginal
                                 Intra-Industry Trade Index, was developed by Hamilton and Kniest (1991) :

                                                                 X −  X t—n
                                                                  t
                                                                M − M      for M −  M t n  >  X −  X t n  >  0
                                                                                      −
                                                                                                −
                                                                                 t
                                                                                           t
                                                                 t   t—n
                                                                M − M
                                                       M I I T =    t  t—n  for X −  X t n  >  M −  M t n  >  0         ... (9)
                                                                                     −
                                                                                                −
                                                                                 t
                                                                                           t
                                                                 X −  X t—n
                                                                  t
                                                                undefined  for X <  X  orM <  M
                                                                                     −
                                                                                                −
                                                                                t   t n   t    t n
                                                               
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