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Trade and Employment From Myths to Facts - International Labour ...

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Chapter 3: Assessing the impact of trade on employment: Methods of analysis<br />

Box 3-5: Using input-output methods <strong>to</strong> compute trade-induced<br />

changes in employment: a hypothetical example (Continued)<br />

Note that when all prices are equal <strong>to</strong> one, trade is balanced in this example. Gross<br />

output (X) would then be equal <strong>to</strong><br />

X = AX + Yd + E – M,<br />

which can be solved<br />

X = (I-A) -1 (Yd + E - M )<br />

Here, I is the identity matrix, with ones on the diagonal <strong>and</strong> zero elsewhere. Computing<br />

X can be done easily by way of Excel’s array functions. 29<br />

Agriculture 93.3<br />

Industry 87.7<br />

Services 101.1<br />

Source : Author’s calculations.<br />

Total employment is then LX = 85.2.<br />

On the basis of this exercise, a 1 per cent increase in imports in all sec<strong>to</strong>rs will lead<br />

<strong>to</strong> an employment level of 84.94, a decline of 0.26, since <strong>to</strong>tal output contracts. A<br />

1 percent increase in exports, instead, will increase employment by 0.27 as output<br />

exp<strong>and</strong>s. Since trade was initially in balance, a 1 per cent change in both exports<br />

<strong>and</strong> imports has no effect on the <strong>to</strong>tal gross value of production but does change its<br />

structure.<br />

The Leontief multiplier analysis emphasizes the need <strong>to</strong> count intermediate production,<br />

both direct <strong>and</strong> indirect, in order <strong>to</strong> assess employment effects. It assumes that<br />

wages are fixed <strong>and</strong> that the economy adjusts <strong>to</strong> changes in final dem<strong>and</strong>, both in<br />

aggregate <strong>and</strong> structure, through proportional adjustments in employment levels for<br />

each sec<strong>to</strong>r. In this structuralist approach (see box 3-7), exports from sec<strong>to</strong>rs that<br />

are more labour intensive, directly <strong>and</strong> indirectly, cause employment <strong>to</strong> rise faster.<br />

The methodology can be easily extended <strong>to</strong> assess the impact of productivity increases,<br />

which simply take the form of lower labour coefficients. If, however, lower employment<br />

leads <strong>to</strong> lower wages, <strong>and</strong> if profit-maximizing firms respond by hiring more labour,<br />

the linearity of the Leontief model is inappropriate <strong>and</strong> a more complex model is<br />

required.<br />

An approach similar <strong>to</strong> that summarized in box 3-5 has been applied in the<br />

OECD (Baldwin, 1994) <strong>to</strong> assess employment changes following changes in trade<br />

flows for eight industrialized countries. Table 3.2 reports the findings of the exercise.<br />

Canada, as is seen, experienced a 2.38 per cent increase in employment from 1971<br />

29 One can use the comm<strong>and</strong>: “=MMULT(MINVERSE(I-A),Yd+E-M)”, <strong>to</strong> compute X with I, A,<br />

Yd, E <strong>and</strong> M all defined as ranges.<br />

X<br />

85

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