FUNDAÇÃO
GETUUO VARGAS
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Escola de Pós-Graduaçãoem Economia
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ECONÔMICA
Rent- Sharing in Brazi1:
Using Trade Liberalization as
a Natural Experiment
Prof. Jorge Saba Arbache
(Universidade de Brasília)
LOCAL
Fundação Getulio Vargas
Praia de Botafogo, 190 - 1 Cf' andar - Auditório Eugênio Gudin
DATA
28/09/2000 (53 feira)
HORÁUIO
16:00h .
Rent-Sharing in Brazil:
Using Trade Liberalization as a Natural Experiment
Jorge Saba Arbache
Universidade de Brasília
Naercio Menezes-Filho
Universidade de São Paulo
Version 9/00
Abstract
This paper examines the extent of rent-sharing in Brazil, between 1988 and 1995, combining two different data sets: annual industrial surveys (pIA) and annual household surveys (PNADs). The aim is to use the trade liberalization policies that took place in Brazil in the early 1990s as a "natural experiment" to examine the impact ofproduct market rents on wages. We first estimate inter-industry wage differentials in Brazil, using the household surveys, afier controlling for various observable workers' characteristics. In a reduced form fixed effects equation, these controlled inter-industry differentials are seen to depend on the industries' rate of effective tariff. We also find that LSDV estimates of the effect of value-added per worker (computed using the industrial surveys) on the wage differentials are positive, but somewhat small. However, we find that instrumenting the valued-added with the effective tariffs more than doubles the estimated rent-sharing coefficient. The paper concludes that rent-sharing is prevalent in the Brazilian manufacturing sector, and this mechanism transferred part of the productivity gains due to trade liberalization to manufacturing workers in the form ofhigher (controlled) wage premium.
JELnumber: J31, J51, F16
Key-words: rent-sharing, wage determination, trade liberalization, Brazil
Acknowledgments: We would like to thank, without implicating, Francis Green, Andy Dickerson and Francisco Carneiro for useful comments and suggestions. Arbache gratefully acknowledges financiaI support from Conselho Nacional de Desenvolvimento Científico e Tecnológico, grant No. 300146/1000-0, and Economic and Social Research Council, grant No. R000223184.
1. Introduction
This paper aims at combining two different strands of the economlCS literature to
investigate the impact of trade liberalization on a developing country labor market. On the one
hand, economists have always been concemed about the extent to which wages are determined
by factors inside the firms vis-à-vis competitive forces. Many papers focused on the impacts of
product market rents (measured as profits, quasi-rents or value-added per employee) on wages
in different countries (see Nickell 1998, for a criticaI review). An obvious problem with these
studies is endogeneity, since wages and rents are likely to be simultaneously determined.
Some studies have tried to get around this problem by instrumenting or lagging the
product market rents. Using average industry profits and wages for the U.S., Blanchflower et aI
(1996) find that the effects of lagged profitability on wages are much higher than that of current
profits. Van Reenen (1996) uses lagged innovations as instruments for quasi-rents and finds that
this doubles the effects of these rents on wages. In a paper similar in approach to the one
adopted here, Abowd and Lemieux (1993) use foreign competition shocks as instruments and
also find that the standard O.L.S. estimates are downward biased. However, these papers are
also subject to some criticisms related to the choice of instruments. As Nickell (1998) points
out, improvements in the skilllevel of the workforce will tend to increase both quasi-rents and
wages so that they may well be correlated for spurious reasons.
The second line of the literature has been concemed about the relationship between
product market competition and performance. Again, Nickell (1998) reviews many theoretical
and empirical mo deis and conc1udes that "there is some theoretical foundation for the view that
product market power lowers productivity performance. However it is by no means strong and
there are results pointing in the opposite direction" (p.23). Moreover, "the balance of the
evidence suggests a negative relationship between product market power and productivity
performance. The force of the evidence is not, as yet, overwhelming" (p.24). In a similar vein,
many economists have been looking at the macro side of the story, by examining the effects of
trade liberalization on growth, inequality and welfare of developing countries that were
subjected to rapid and intense drop in trade barriers. Examples include Revenga (1992),
Robbins (1996, 1999), Hay (1998), Krueger (1997) and Edwards (1997), and these studies tend
to find that economic openness is good for growth but bad for inequality.
This paper combines these two strands of the literature by investigating the impact of
trade liberalization on wages in Brazilian manufacturing industries in the late 1980s and early
the impact of rents (measured as profitability or value-added per employee) on wages in an
instrumental variables framework. We use the rapid trade liberalization that took place in Brazil
in this period to identify the effect of product market rents on wages. However, contrary to these
papers (but similarly to Blanchflower et aI, 1996), we control for various observed workers
characteristics that may be changing simultaneously with trade liberalization.l We find that
instrumenting the quasi-rents leads to the doubling of the coefficient of rent-sharing in the
controlled wage premium equations, afier taking into account industry and year effects.
Our reduced-form equations show that, confirming previous evidence for the Brazilian
manufacturing industry (see Hay, 1998 and Rossi and Perreira, 1999), the falI in effective tariffs
provoked an increase in productivity and profitability, even afier controlling for industry fixed
effects. Moreover, and for the first time in the developing economies literature, we show that
the inter-industry wage differentials also depend on effective tariffs, with a decrease in effective
tariffs leading to increasing industry wage premiums, even afier controlling for workers
characteristics and industry fixed effects. Pinally, once we condition on product market rents,
there is no additional role for effective tariffs to increase wages.
The investigation ofthe case of Brazil seems to be an ideal opportunity to test the impact
of trade liberalization on wages because of its recent history. By the end of the 1980s, Brazil
was a very closed economy as a result of the import-substitution industrialization strategy
pursued for several decades. In 1990, Brazil under the Collor govemment, introduced a
reasonably rapid program of trade liberalization. The import penetration ratio in manufacturing
industry doubled in few years and the index of quantum of imports has tripled in the same
period. These factors make the Brazilian case an interesting 'natural experiment' which can
provide useful insights relating to debates over the impact oftrade on the labor market.
The paper is organized as follows. The next section presents some theoretical issues.
Section 3 documents the trade liberalization in Brazil. Section 4 describes the data and the
methodology. Section 5 presents and discusses our empirical results. Section 6 concludes.
2. Theoreticallssues
In the standard competitive mo dei, firms are wage-takers and therefore, there is no role
for profitability or quasi-rents to affect the wages received by their employees. This implies that
different industries will pay similar wages to similar workers, independent1y of their
profitability. However, as pointed out by Carruth and Oswald (1989) and Blanchflower et aI
(1996), it is possible to think of several ways through which the wage rates may depend on
product market rents. This could occur in bargaining models, where employees and finns
engage in a bargain, and the resulting wages will depend on the leveI of profitability or
quasi-rents per worker. As emphasized by Nickell (1998), this result is independent of the type of
bargaining that takes place, whether it is over wages and employment ("efficient bargaining"),
or over wages only ("right to manage''). Thefinal expression in both mo deIs will be something
like:
(1)
or
(2)
where wages (W;) depend on the altemative option (A), and a share (fi) of the profits per
employee (1) or quasi-rents (2), which depend on employment (N) and the firms' real revenue
(R(N».
In the framework proposed here, trade liberalization would increase competition, which
would modify the firm's production function, increasing its real revenue per worker. Part ofthis
increase would then be passed on to workers in the form of higher wages.2 Yet, the contrary
could happen if trade liberalization reduces monopoly power and rents. This could have a
negative effect on wage differentials. The literature on unions and intemational trade, for
example, shows that increasing imports and the removal oftrade barriers have a negative impact
on union wages (Driffill and van der Poeg, 1995, Freeman and Katz, 1991, MacPherson and
Stewart, 1990, Gaston and Tefler, 1995). Coumot and Dixit-Stiglitz type models can be used to
show that imports and exports influence union wages through the industry' s product market.
Greater imports (exports) increase (decrease) the product demand elasticity and reduce
(increase) profits, leading to wage concessions by unions. Our empirical model will, however,
be able to discriminate between the two hypothesis.
But how would trade liberalization affect productivity? One model that predicts exactly
this was developed by Hom et aI, (1995). In that paper the authors show that intemational trade
2 Profits and wages could also be positively correlated due to temporary frictions in the labor
- - - .
can yield welfare gains by reducing internaI slack, in a carefully crafted general equilibrium
trade model. The mo dei is based on the idea that firms are X-inefficient, in the sense that the
manager's effort levei induced by the optimal contract is too low, and production costs are too
high. In this setting, increasing externaI competition will lead to higher leveIs of managerial
effort, since demand becomes more elastic at the firm leveI, which leads to higher leveIs of
output per firmo Moreover, under full employment, the higher leveIs of output will tend to
increase labor market wages. Since managerial effort depends on wages and output leveIs, these
two effects willlead to higher leveIs of effort, which will reduce X-inefficiency.
3. Trade Liberalization in Brazil
Prior to 1990, the Brazilian economy was high1y protected and regulated, and public
sector companies dominated a variety of infra-structure activities, among other industries.
Successive administrations followed a vigorous import substitution industrialization strategy
expanding trade barriers not only through tariffs, but especially through import licenses,
different exchange rate regimes for imports and exports, among other measures such as taxes
and subsidies, aimed at protecting the domestic market. More than 50% of industrial products
were in the "Anexo C", a list of items that could not be imported. This large range of policy
instruments gave the govemment the discretion to impose barriers in order to protect sectors at
will.
The govemment decided to change the trade policy in 1988 lowering modestly the
tariffs and lifting some redundant barriers, but it did not affect significantly the international
trade. Kume (1989) argues that the reforms of the time were limited due to strong opposition
from producer interest groups. It was from 1990, under the president Collor administration,
when the efforts to contain inflation were combined with a drastic trade liberalization
constituting a major break with the import substitution strategy. The new govemment
introduced a four-year schedule to reduce the protection, but in practice it was completed in the
third year. Up to the middle of 1993, most of the complex and bureaucratic set of non-tariff
barriers was removed, and a new tariff structure was imposed, which substantially reduced the
degree of protectionism.
Table 1 shows that the nominal tariffs and effective tariffs dropped very rapidly in a few
years. In 1987, the national weighted average nominal tariffwas 55 percent; by 1992 it had been
reduced to 14 percent. This was accompanied by a sharp reduction in the modal tariff, bringing
tariff, which remained fair1y unchanged in the 1980s, dropped from 68 percent in 1987, to 18
percent in 1992, while the standard deviation dec1ined from 54 percent to 17 percent (Kume et
aI, 2000). As a result of the new economic policy and the overvaluation of exchange rate from
1990 to 1996, imports increased by 257 percent, while exports increased by 151 percent. By
1995, trade balance started to have increasing deficits.
Table 1 - Nominal and effective tariffs, 1987-1995
Nominal tariffs 1987 1988 1989 1990 1991 1992 1993 1994 1995
Simple average
57.5 39.6 32.1 30.5 23.6 15.7 13.5 11.2 13.1
Weighted average by value
added 54.9 37.7 29.4 27.2 20.9 14.1 12.5 10.2 12.2
Standard deviation
21.3 14.6 15.8 14.9 12.7 8.2 6.7 5.9 8.6
Effective tariffs 1987 1988 1989 1990 1991 1992 1993 1994 1995
Simple average
77.1 52.1 46.5 47.7 34.8 20.3 16.7 13.6 20.1
Weighted average by value
added 67.8 46.8 38.8 37.0 28.6 17.7 15.2 12.3 15.6
Standard deviation
53.8 36.6 44.5 60.6 36.5 17.2 13.5 8.4 37.2
Notes: Tariffsfigures inc/ude agriculture, mineral, and manufacturing sectors (IBGE industry c/assification nível 80). Source: Kume et aI (2000).
Contrary to what occurred in many other developing countries in which trade reforms
were gradually introduced and had a moderate impact (Adriamananjara and Nash, 1997), the
change in trade policy in Brazil seems to have impacted the economy in a more radical manner.
The tariff reduction itself was not strong by intemational standards, however, but it was the
removal of the non-tariff barriers that definitely shifted the pattem of protection. Considering
that the Brazilian economy was large1y c10sed to trade, the new policy was a significant move,
especially for the manufacturing sector, signaling that the long period of protectionism was
coming to an end.
The impacts of the trade liberalization can be depicted by the very rapid rise in the
import penetration ratio in the manufacturing sector, and by the index of quantum of aggregate
imports illustrated, respectively, in figures 1 and 2. There is a c1ear shift in the import pattem
from 1990 onwards. By 1996, the import penetration ratio had reached 11.5 - more than twice
the figure for 1990, and the quantum of imports had increased almost three times. These
evidences suggest significant allocative changes in the economy with potential effects in the labor market. 12 10 8 6 4 2 O
Figure 1: Import penetration ratio - manufacturing sector
~
/
r--. /
...-1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 1996
Figure 2: Index of quantum of aggregate imports
120.---, 100
+---/....,...
80+---~~~
60+---~~--~
40
t:;;:;:;;::;:~~~:!::===~
20 """""
0+-~--~~--~--~_r--~~--~~__4
V'l 00
0'1
r-- 00
00 00
0'1 0'1
0'1 o - N
('f')
00 0'1 0'1 0'1 0'1
0'1 0'1 0'1 0'1 0'1
4. Data and Econometric Methodology
The data used in this paper come from two sources. One is the National Household
Survey (PNAD), and the other is the Annual Industrial Survey (PIA), both conducted yearly by
the Brazilian Institute of Geography and Statistics. Each PNAD contains data on about a
hundred thousand randomly selected households throughout the country,. fully describing a
substantial number of individual and household characteristics for labor market analyses. The
sample data we analyze were filtered in the following way: non-employers between the ages of
18 and 65, earning positive salary and affiliated to any of the 18 industries that comprise the
manufacturing sector. This cIassification corresponds to the 2-digit SIC. The reported wages are
monthly wages in the main occupation that individuaIs held during the period of interview. In
order to obtain hourly wages, we divided the monthly wage by the product of usual weekly
and transfonned to naturallogarithms. The PIA is a panel based survey of about 7.7 thousand
randomly selected finns aimed at collecting data on employment, wages, profits, value added,
investment, sales, output, intennediate consume, among other finn leveI variables. We combine
PNAD and PIA through the workers' industry affiliation.
In this study, we intend to firstly run individual leveI wage equations, as in Blanchflower
et aI (1996), to compute the inter-industry wage differentials, after controlling for the workers
observable characteristics. The strategy we adopt to estimate the inter-industry differentials is
through the approach proposed by Haisken-DeNew and Schmidt (1997), which improves the
standard procedure popularized by Krueger and Summers (1988). The wage equations are
estimated in the following fonn:
(3)
where lnwij is the natural logarithm of the hourly real wage of worker i in industry j,
J4
is avector of personal characteristics, 'Zj is a vector of industry dummies which includes ali
industries, a is the intercept tenn, Eij is a random disturbance tenn reflecting unobserved
characteristics and the inherent randomness of earnings statistics, and
f3
and cp are the vectorsof parameters to be estimated. Since in this model the cross-product matrix of the regressors is
not offull rank, a linear restriction is imposed on the cps as follows,
(4)
where nj is the employment share in industry j. The reported coefficients can then be interpreted
as the proportionate difference in wages between a worker in industry j and the average worker
from the whole of manufacturing industry, after controlling for the other factors which
detennine wages. The fonnulation given by (3) and (4) provides both economically sensible
coefficients and their correct standard errors in a single regression step (see Haisken-DeNew
and Schmidt, 1997 for further details).
In the second step, these estimated inter-industry wage differentials will fonn the
dependent variable in the industry leveI wage premium equations. In the reduced fonn, these
differentials will be explained by effective protection tariffs, as computed by Kume et aI
(2000).3 Finally, a structural equation is estimated, whereby the wage differentials will be
explained by proxies of industries' product market rents. This variable will be instrumented
with the effective tariffs, in a Two-Stages Least Squares framework. Both in the first and in the
To proxy for product market rents, we focus on three different measures. The first and
preferred one is a measure of value-added divided by the total number of employees. Value
added is measured as total sales plus variation in inventories, minus all direct and indirect costs
related to the consumption of raw-materials, energy and capital depreciation. The second one
divides value-added by the number of blue collar employees. Finally, the third one is
profitability per employee, measured as total sales' revenue minus total costs, which inc1ude
raw materiaIs costs, wages and benefits, all measured in real 1996 values. We take logs of the
productivity measures and of the effective tariffs, but profitability is inc1uded in leveIs due to
some existing negative values.
We preferred to run fixed effects rather than first-differences equations, because of
missing data for 1991 and 1994 for wages,4 and because of the chaotic macroeconomic
environment in Brazil in the data period. The difficulty of measuring our economic variables in
periods of high inflation impregnates the data with measurement error that are magnified in
first-differences specifications (see Griliches and Hausman, 1986 and Hay, 1998).
5. Results
5.1 Wage Differentials
The coefficients in table 2 show the proportionate difference in wages between an
employee in a given industry and the weighted average worker in manufacturing. The figures
indicate that, for instance, in 1988 a worker in the non-metallic industry eamed about 3 percent
less than the average manufacturing wage, while a worker in the transport material industry
eamed about 22 percent above the mean wage. The wage equation used to estimate the
inter-industry wage differentials were controlled for education, experience, experience square,
gender, race, head of family, metropolitan area, urban-rural area, regions and work card.5
3 The effective tariff is defined as the percentage increase of the domestic value added due to the tariff and non-tariffbarriers related to the value added obtained in free trade.
4 There were no PNAD for 1991 and 1994 due to population census and shortage of funds,
respectively. .
~----~---...,
Thus, the estimated coefficients may capture not only unrneasured abilities, but also all other
factors affecting the industry affiliation, such as market structure, profitability and technology.6
Table 2 - Inter-Industry Wage Differentials
Industry 1988 1989 1990 1992 1993 1995
Non-metallic -0.028 -0.013 -0.121* -0.027 -0.074* -0.014
Metallurgic 0.017 0.052* -0.004 0.046* 0.046* 0.050*
Mechanic 0.105* 0.111 * 0.124* 0.044* 0.129* 0.045*
Electro-electronic 0.139* 0.108* 0.141 * 0.089* 0.085* 0.101 *
Transport material 0.197* 0.145* 0.145* 0.234* 0.254* 0.204*
Wood -0.128* -0.171* -0.197* -0.155* -0.137* -0.085*
Furniture -0.192* -0.168* -0.115* -0.194* -0.134* -0.103*
Paper 0.056 0.078* 0.044 0.128* 0.027 0.004
Rubber 0.056 0.006 0.052 0.011 0.079 0.056
Chemical 0.221 * 0.156* 0.172* 0.205* 0.218* 0.129*
Pharmaceutical 0.118* 0.093 0.022 0.173* 0.079* 0.220*
Perfume -0.050 0.075 0.029 0.005 0.035 0.036
Plastics 0.047 0.021 * 0.093* -0.012 -0.045 -0.043
Textiles -0.068* -0.092* -0.067* -0.045* -0.012 -0.048*
Apparel -0.179* -0.090* -0.052* -0.118* -0.132* -0.148*
Food -0.143* -0.135* -0.143* -0.117* -0.105* -0.081*
Publishing -0.064* -0.066* -0.043 -0.054* -0.104* 0.045*
Others -0.053 -0.002 0.014 -0.094* -0.124* -0.056
Note: * Significant at the 5% leveI.
5.2 Effects of Product Market Rents on Wages
The results of estimating the impact of value-added on wages are set out in tables 3 to 6.
In table 3, we describe the evolution of our measures of product market rents over the sample
period. It is possible to distinguish at least two different trends. In the first period, between 1988
and 1990, all measures dropped substantially, possibly due to the deep recession that took place
in 1990. Then, productivity tends to rise continuously until the end ofthe period. To what extent
this was due to the threat of foreign competition (trade liberalization effect) 'or to the c1eansing
effect ofrecession is something we investigate below.
Table 3- Value Added per Employee and Profits per Employee Over Time
1988 1989 1990 1992 1993 1995
Valued Added (1) 4.44 4.73 3.20 3.87 .4.66 5.26
Standard Deviation 1.90 1.65 1.41 1.88 2.27 2.96
Value Added (2) 6.66 7.00 4.87 5.79 7.02 8.06
Standard Deviation 3.63 3.26 2.83 3.52 4.51 5.95
Profitability 0.93 1.21 0.66 1.03 1.35 1.54
Standard Deviation 0.76 1.00 0.78 0.70 0.97 1.49
No. of Observations 18 18 18 18 18 18
Notes: All variables measured in R$ 10,000 of 1996
In table 4 we investigate the basie eorrelations between wage differentials and rents. We
do so by regressing the wage differentials estimated in seetion 5.1 on our three measures of
product market rents separately (eaeh row presents the results of a separate regression). We ean
see in the first eolumn, where no controls are inc1uded, that the relationship between our first
normalized value added measure and the wage premium is estimated to be positive and
signifieantly different from zero. Furthermore, it remains so even afier time dummies (eolumn
2) and industry dummies (eolumn 3) are inc1uded. Finally, similar results are obtained when we
divide value added by the number ofproduetion workers only (value added 2), and when we use
profits per employee altematively as regressors.
Table 4 - Industry Wage Differentials and Product Market Rents
Wage Differentials (1) (2) (3)
Value Added (1) 0.177 0.196 0.084
Standard Error 0.010 0.011 0.026
Value Added (2) 0.137 0.145 0.087
Standard Error 0.008 0.009 0.025
Profitability 0.042 0.046 0.013
Standard Error 0.008 0.010 0.006
Time Dummies No Yes Yes
Industry Fixed Effeets No No Yes
No. Of Observations 108 108 108
Table 5 sets out our reduced form equations. It shows that, although the controlIed wage
differentials are positively correlated to effective tariffs in leveIs (column 1), this seems to be
due to correlated industry effects, since when industry dummies are inc1uded (column 2), the
sign is reversed and one can see that more protected industries tend to pay lower wages. The
basic positive correlation seems to be driven by the fact that more protected industries had some
form of managerial slack, so that they paid higher wages because of inefficiency. It is
interesting to note that when import penetration is inc1uded in the equation together with tariffs
(results not shown) , the tariffs effect dominates and the import penetration variable enters
insignificant1y.
In columns 3 and 4 we present the results of regressing (the log oi) value added per
employee on (the log oi) effective protection. Valued-added per employee is not correlated with
protection in the leveIs specification, and profits per employee are negatively so. After
controlling for industry effects, however, one can see that productivity tends to increase when
trade liberalization takes place. It is important to stress that these effects are conditional on year
effects, that control for macroeconomic conditions and for the downward trend in protection
that affects alI industries at the same time. This means that we are looking at the effects of
inter-industry variation over time in effective protection on performance. Columns (5) and (6) show
that the results are maintained when we use a different measure of rents, that is, profits per
employee.
Table 5 - Reduced-Forms Wage Differentials and Quasi-rents
De endent Variable
Effective Tariffs 0.048 -0.023 0.000 -0.135 -0.531 -0.979
Standard Errar 0.019 0.014 0.075 0.046 0.158 0.200
Time Dummies Yes Yes Yes Yes Yes Yes
Industry Fixed Effects No Yes No yes No Yes
No. Of Observations 108 108 108 108 108 108
FinalIy, in Table 6 we present the main results of this paper. In the first column, we
reproduce the results from table 4 (column 3), for comparison. In .the second column, we
instrument the different proxies for product market rents with the effective tariffs. One can see
in the first row that the estimated coefficient on value added per employee basicalIy doubles
· encountered for the other measures of rents, like valued-added divided by the number of blue
collar workers and profits per employee, meaning that this result is very robust.
Table 6 - Two-Stages Least Squares Estimations of Rent-Sharing
Wage Differentials (1) (2)
Value Added (1) 0.084 0.170
Standard Error 0.026 0.103
Value Added (2) 0.087 0.151
Standard Error 0.025 0.092
Profitability 0.013 0.028
Standard Error 0.006 0.016
NO.ofObservations 108 108
Notes: Equations estimated by OLS in column(1) and and by 2SLS in column(2)
6. Conclusions
In this paper we examined whether workers tend to share the good times with the finns
in Brazil. The answer is yes. We reported results showing that the inter-industry wage
differentials, controlled for skill and other observed characteristics, is positively correlated with
product market rents, even conditionally on time and industry effects. However, wages and
profits are simultaneously detennined, and this means that we could be underestimating the true
effect. The fact that a rapid trade liberalization process took place in Brazil in our sample period
means that, if this episode affected industries' rents as it seems likely, we would have a natural
instrument to identify the effect of rents on wages. Therefore, we used the leveI of effective
tariffs as an instrument for valued added per employee (and other measures on rents) in industry
leveI wage regressions. The results showed that the product market rents were strongly affected
by trade liberalization, and that part of this effect was carried out to the labor market in the fonn
ofhigher wage premium paid by positively affected finns.
Taken as a whole, the results suggest that there were a number of sectors in the Brazilian
manufacturing industry that had their productivity increased as the result of trade liberalization.
ones that remained employed shared this increasing productivity with their firms in the form of
higher wages.
In terms of the country's welfare, the overall results will depend on whether the
unemployment generated is only a short-term phenomenon, or will persist over the long run.
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Appendix
In order to estimate the inter-industry wage dispersion, we computed the following
expresslOn:
SD(rp) =
~n'(H(rp)rpj
-n'D(V(rp).SD(rp) gives the weighted and adjusted standard deviation of coefficients, H(.) transforms a
column vector into a diagonal matrix whose diagonal is given by the column vector itself, D
denotes the column vector formed by the diagonal elements of a matrix, and V is the
variance-covariance matrix.
The figures below show that the inclusion of control variables in the model could reduce
about 51 percent ofthe wage dispersion for the whole years, except for 1995, when the controls
reduced 58 percent ofthe dispersion. This result suggests that the model could better explain the
wage determination in 1995, when the trade liberalization had already been introduced.
Weighted and adjusted inter-industry wage dispersion
1988 1989 1990 1992 1993 1995
No Control 0.2618 0.2285 0.2274 0.2358 0.2463 0.2352
Control 0.1280 0.1056 0.1095 0.1186 0.1253 0.0985
000304416