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JtllLrnal of Development Economics f 2 (1982) 59-73. North-Holland Publishing Company ON EXPORTS AND ECONOMIC GROWTH* Gershon FEDER World Bank, Washington, DC 20433, USA Received October 1981, final version received March 1982 The popper analyses the sources of growth in the period 1964-1973 for a group of semi- industrialized less developed countries. An analytical framework is developed, incorporating the possibility that marginal factor productivities are not equal in the export and non-export sectors df the economy. Econometric analysis utilizing this framework indicates that margmal factor productivities are significantly higher in the export sector. The difference -VI, Michalopoulos and Jay ( 19’73), Tyler ( 198 I)]. Explanations for these observations were discussed by a number of economists, highlighting various beneficial aspects of exports, such as greater ca‘pacity utilizaiion, economies of scale, incentives for technological improvements and effkient management due to competitive pressures abroad [see 3alassa (19’78), Meesing (1967, 1’269) Krueger ( 1980), and Bhagwati and Sriniva.san ( 1978)]. The implication of ese discussions is that there a-e substaCa1 differences between margin&l factor productivities in export- orlented and non-export-oriented industries, such that the former, have Sgher “The views expred in this pa r are those cd the author only and cannor be taken 10 represent the views of the World Bank. The authclr e&d from helpful discu:.sion3 with R. Sk?, Keesing, 6. Bcmell. S. Robinsor.. M. Syrquin and M. Wolf. 03(~3878:82/~~/$02.75 0 1382 Xorth-Holland ADEILSON Highlight factor productivity, It fallows, then, that counuties which have adopted policies less biased against exports benefited from closer&-optimal resource I” allocation and higher growth, The present paper develops an anrilytical framework for tbe quantitative assessment of f&or productivity di@ere&ls Uxtqween expc>rts and non- expo~s using ~~~~~~~ ,‘Pd”, ,:“cfii~’ ~f~~~~~i i$ aii[$& i$’ in ern~iirical study of so~rrzes of growth in a sample of, Islemi-industrialized less developed countries within the decade S@Pi9?3. The ‘analysis allows gm estimate of the sectoral bargina productivities. FurthermoreY the extent of inter-sectoral beneficial exteqnalities generated by exports can be specifically ideniitied. The results highlight the role of eliport performahce in explaining the groT#th record of the sample counties. m a-nalytis in this paper adope a sup& side description of changes in aggregate ou:put. In SO doing it follows a practice widely used h the empirical study of sources of growth [see, e.g., Hagen and I-Iawrylyshyn (;t969) and Robinson (197 l)]. Within such a framework, where aggregate growth is ;related to changes in capital and labor through an underlying production function, the ‘.’ stub:es of Balassa (197P), Chenery et al. (1970), Michalopoulos and Jay (1973) and Tyler (1981) havl? included an indicator of export performance among the variabies explaining growth.” In the following, a framework is developed which provides a formal rationalization for t5e incorporation of export varizlzles in the sources of growth equation. Fptihenno& starting from the sectoral production functions, a proper smcatioti of export v&iables is indicated and a non-conventional intizrpretation of parameters is implied. Since the present analysis focuses on the potential non-optimaiity of resource allocation between export and non-export sectors, the economy is Gtwe(‘t as if it cclnsists of two ‘distil- ct sectors: one producing export goods, he other producing for the &. lnestlc market.2 Instead of an aggregate al productioln function, eacl. J 1 the tvro sectors” output is a function Qf the falztors alloca@:d to the sector, En addition, the output of the non-export sector is dependent OTI Ilhe volume of exports produced. This formulatisn represents the beneficial effects of exports 011 other sectors [Keesing (1967, p. 511, 14’79, pp. 4, !5)& such as the development of eflicient and internationally rqresent exports pzformarrce by export g”cr\wth multiplied by export share; e expsrts _growtIiL, n s.bstraction, as many firms are pxxlucing for both domestic and external argued that even then, the domestically marketed output su& firms is e a’ame fact:tc*r prQd~~~ti~~ti~s which characterize exports. wever, to the exports represents a good approximation of the changes in the \ olume of ~~~~~~~t~~~ of such firms, the results are stilt valid. ADEILSON Highlight ADEILSON Highlight compe; itive mana lent, the introduction of improved production her quality labr, steadier flow of imported inputs, r-red to tos externalities, since they aire not reflected irr are incorporated n the formulation below: N = F(K,, L,, X), (1) X = G(K., Lx), where (21 N = non-exports, X = exports, K,, K, = respective sector caprtal stocks, L Lx = respective sector labor forces. Since data regarding sectcsal allocations of primaisy production factors are no! readily available, a speScation is required which will allow estimates of sectoral marginal productivities using aggregate (national) data. This is accomplished as follows:. Suppose that the ratio of respective marginal factor productivities in the two sectors deviates from unity by a factor 6, i.e., (G,/Fk)=(G,/FL)= I+& 13 where the subscripts denote partial derivati v es. In the absence of exiernalities, and for a given set of prices, a situation where 6 =O would reflect an allocation of resources which maximizes national output. However, due to a number of reasons, marginal factor produe&ities are likely to be lower in the non-export sector (i.e., 6 ~0). One important reason is the more competitive environment in which export- oriented firms operate. Competition induces innovativeness, adaptabilny, efficient management of firms‘ resources, etc. Another reason for deviations between sectoral margi ctor productivities are various regulations and constraints such as cre x&ange rationing [Balbssa ( I977)3. e higher perceived u iatecl with export enterprises may be anotner factor contrib mdaginai Productivit y diflfereh Gals to externalities arc not i as y will b;; specificall ifferer Liation of eq where Z,, and 1, ;are respective sectoral gross investzlents, t, and LX are see&al- zbanga in labor - ha, and- F, describes. the lnarjnal externality 43&&t of e3QW%3 4Bk %Woutprut of non*xprts. ’ *I : ’ Denoting Gross Domer;tic Product by Zy; and since by definrtion Y=4V -o- X, it follows Y 2 k=N+d. (6) Using eqs. (.3)-(5) in eq. (6) yie’ids Define total investment I (~2, + I,J and total growth of labor i. (E& + f,). Rec&‘that eqs. (3) and (5) imply Using this result in cq. (7) fin&y yields L=F,or+F~*L+(6i(l~6)+F,)o~. (9) Fallowing arguments similar to those presented by Bruno (i968), suppose that a linearrelationship exists between the real martinal productivity of labor in cQ given sector and average output per Laborer in the economy, say F,=/V(Y/L). (10) Then, dividing eq_ (9) through by Y and denoting Fk =u yields, after some manipulation -+- [” ,I ! + 8 + FJ l (x/X) . (Xl Y). (11) The formulation in eq. (11) will be the basis of the empirical work reported in t;?e next section? Note that if marginal productivities are equalized across sectors (S =O) and if there are no inter-sectoral externalities (F, =O), then eq. (I 1) reduces to the famihar neo-classical formulation of the sources-c&growth mod& In the more g,eneral cm_=, the term [S/(1 + (i) + FJ is likely ta be non- zero for less d~~e~~~d countries. ~~~~~t~er secti on will discuss a b-ecificatjon allowing a separate estimate of’ F,. C. Fee m, Ori exports and economic growth 63 Under the present forrmlation the parameter cz should be interpreted irs the marginal productivity cbf capital in the non-export sector, rather than as nai productivity 8 capital in the economy as a whole. total increment to GDP brought about by a allocated to the export sector; TMPK, can be arginal productivity of investment in exports. Similarly denote by TNPLX the effect on GDP of a marginal increase ?n exprt sector labor. Then, c ne can shctw (TbfPL,- F,J’GL=(7’MPK,- F,)IG,==S/(l +a)+ I;,. (12) Eq. (12) clarifies the interpretation of the term on the extreme right-hand side (w&h in some of the empirical qork reported below will be estimate as a fixed parameter): it measures the difference between the marginal contribution to GDP of prduction factors in the two sectors, &c’ ative to the marginal contributions oft lese factors to export sector’s output. The interpretation of tte sources-of-growth equation [eq. (1 l)] is then str;;Fightforwarrl: the rate of growth of GDP is composed of the contribution of factor accumulation (i.c., growth of capital %nd labor) and the gains brought about by shifting factors from a low productivity sector (non- exports) to a high real produi=tivity sector (exports). Emmnct~ic formulation Eq. {I I)1 was used fcbr a c-ass-country regression relating the rate of growth of GDF’ (in constant price;) to thr share of investment in GDP, growth of population (proxy for labor growth) and to the growth of exports (in constant prices) multiplied by exports share in GDP. The study focuses on f. group of less deveLoped countries defined by Chenery (I 980) as semi&t ustrialized. The defini:tion involves both relative and absolute indicators (swh as the share of industrial output in GNP and the level of per capita i idustrial outp . SiEce the indicators do not necessarily overlap, Chene r~/ (1980) disti uishes between those countries which ire only ‘marginal”. y’ semi-industrialized, and those which qualify under a stricter definition. Accordingly, the study provides esti sample de.fined by the strict definition (19 countries) as well as a larger sample (3 1, observations) in:1 uding also marginal cases. An issues which needs to be addressed is the length of time to by any single country observation. Earlier s since annual data include substantial rand 64 annual .data are used. This study uses averages defined over the decade 19&b- fitj73,p 1 ” - : -i : ‘- : . There are ~>~host 4 ec;nometric I problems~ related to tiwwcount~y aggrQ4kte undy& .of grbwfh $q+,: poss~bihty zof sisfliul$aneous d4$wmin~thn of- both &perUcnt-.&ad ew#matory L v&iriBles~~ Wm a of these: oompkxtions are &mwxk by : ~Hagen’ can-d: 43a~ry4ysh.yn $I%?) ::and by Chenery et al. (3970), and will not be r4qMed here, +I& 4%8nsta’ti~, of parame&rs iacross observations merits, ho’pc. ever, some ftirtkr - elaboration. Any crsss-country study assur,mies implicitly that parameters in some generti way similar across coun$ries. In a production &nction eoctext, diffcrentxcountries are thus assumed to operate with identical production ,functions. In studies where the production funclion framework is complicated further by the existencx of non-optimal allocation, an additiijnal assumption is involved, namely,, thiat tiie degrkk of &s$ioc*at@n [&,ir&l%ated by &!-right-hand side of eq (12)] is similar &cross countries. # ‘these j)robkx&s ri&d tr3 be borne in mind when parameters are interpreted. It is probably better to treat the est&atd coefficients as average values which provide a genera? order of magnitude *thin the sample but are not applicable to any specific country. An attempt :,lriill lx- made in a latter section to allow for a possibility of variation across observations in the externality effect F,. We set out now, however, to estimate eq. (1 I) in the form wherG the parameter y represents the differential pr~oductLities of factors, as explained earlier. It is expected that a;,the m+trginal productivity of capital in the non-export sector, will be positive but it’s magnitude should be less than the filpres in the range 0.24 35 which were reported by earlier studies4 ba%ed on an aggregate m’acro pr&uction functioxl. The reason is that in such stt4dies the estimated parameter is some average (although not necessarily properly weighted) of gnarginatl ! l oductivities in the two sectors, and is thus !ikely to be higher than a spe- i W estimate of marginal productivity in the Xow productivity sector. The hypothesis that marginal productivities in the export sector are higher and that exports generate beneficial externalities suggests that the parameter ;I should be positi?re and significantly different from zero. The parameter ,/I!* related to labor growth, should aiso be cantly more than 2Ero if labor surp us we&s n!Dt the prevalent situation mple ~~~~~~~~~ ~~r~~~~ t’ic period covered. 3. 6. Z’ede+., On exports and economic growth 65 ports the results af two specifications of the regression equation: rred to as tfre conventional neo_ctassicaI model, assumes that y =0, nts GDP growth as the result of capital and labor growth nd specificaaion follows eq. (13). Comparison of the two iights, therefore, the superior explanatory power of eq. (13). For both mmples, the acjusted Rf is almost doubled when the specification fur differences in I rginal productivit%s is used. T results lend pport to the h:po is that marginal factor prod ivities in the exPort sector are higher th;i.n in the non-export sector, as the coefficient of (&5’Q (X/Y) is positive anca significantly different from zero. The sign and magnitude of the co&cient related to investment are within the range expected. Specifically, when the conventional neo-classical fornlulation is used, the estimated parameter is within the range observed in earlier studies. When the formulation of eq. (13) is adopted, the parameter declines sharply. The parameter asso& ted Nith labor growth (which, as explained earlier, reflects the relation between marginal labor productivity and average output per laborer‘/ is significantly greater than zero.5 This may be taken as an Table 1 Regression resul s for semi-industrialized LDCs, 1964 14-3 a - --- _-- - ~_- Extended sample Limited samp!e (including marginal cases) (excluding :.Darginal cases) - _- Variable Conventional net -classical Conventional neo-classical (parameter) model Eq. ( 15) model Eq. (1% Z/Y (a) 0.284 (4.311) L/L (fl) 0.739 ( 1.990) (S/X) * w Y) iv) -2 R 0.370 No. of obwvations 31 --- - -----_ --_ - __-__ ‘Numt)ers in parentheses are l-values 0.178 (3.542) 0.747 (2.862) 0.422 I( 5.454) 0.002 (0.180) 0.689 0.311 (2.973) 0.853 ( 1.652) -0.016 (0.611) 0.33 P 0.196 (2.432) 4x737 ( t .9761 0.390 (3.985) 0.0 10 __ -__- __ - ‘With a !5”/:, one-tailed test. indication that surplus labor was not the general case fm sample countries in the period under investigation. Wide F& and y we;n: estim&d, Fs is t)iot knyvn (ia a iatm section of this chapter s&me direct estimates, sf Fi wU1 be:oI$&ti&i).For a.,pIausibe range of & iarlues, one ~a& however* c&uIa~e ‘@e :$otiespunding valves of the so&i marginal product of investmen\ ih exparts+- using eq. (14). These are presented in tabfe 2. 0.10 0.289 0.303 0.20 9.275 0.290 0.30 0.264 0.280 0.80 0.255 0.272 0.50 0.248 0.265 1.00 0.226 0.243 -- - It &ouM be emphGzed that the estimates reported in table 2 are stricly con&tent for only one particular (and unknown) value of FXa This follows from the fact that y incorporates &, and thus varying the latter while holding y fixed is not strictly le,$timate. However, it is evident from these calculations that the marginal vallre to the economy from a unit investment in exports expansion is sebstantial$ higher than that of investment in non- exports. While these numbers co/ .~~pond to sample averages, they provide strong support to the vie \ri that a’ ,z success story of export-led economies such as Korea is due in large pdrt to the enormous shift of resources into the higher productivity export sect~t. expor’s affix the production of non-exports with consrant elasticity, i.e., N = &K,, LB, X) = x@ * $(K,, LJ, il5) where 8 is a 1 arametw. One can show ~~/~~~ sz F, = 0 l (N/X ). Eq. (11) caq now be rewritten (16) P 1 t I”’ x x -= y 57 l --+8_z+ 1 ,k6 _.L+&__L._._ x x Y' But [‘sing this result, eq. (17) is rearranged, obtaining Note that if it is assumed a/(1-,- 6) = 0, the model reduces to which is essentially the equ Balassa (1978) and Tyler ( 198 l)? adopted by Michalopeulos and Jay (1973), Results of regressions adopting the specification of eq. (18) are reported in table 3. The modified formulation increases the explanatory power of the model considerably. The results indicate that the nter-sector externality parameter (e) is statistically significant in both samples. The magnitude of the estimated parameter is quite substantial. If exports are increased by 10% without withdrawing resources from the non-export sector, rhe latter grows by approximately 1.3”/,. The other component of productivity di rameter 6) can be calculated ‘verr the estimate of 0 and t with (JQX) - (X/?I). T 1 productivity diaerential addition to the differential ue to externafities. Ta’ble 3 Regression results for semi-industrialized LDCh with specific irate:-se&ral externalities, 1964- 1973.” -,-c wuiabie (parameter) (a) 0.124 (3-O@) L/L 1(19) 0.696 (3.399) (X~‘x)~(X/Y)(S/(l +J)--8) 0.305 (4.571) g/x (8) 0.131 (4239) Constant 0.006 W.596) -_ R2 0809 No. of &ervations 31 ‘Figures in parentheses are t-values. 0.507 (L921) o.goz (3S81) 0,124 (2.989) 0.005 (3.331) ,, 0.773 19 The coefficients of investment share and labor growth are ,>within the - ne order of magnitude of the estimates obtained in table 2, and are statist@* ally sign&ant.’ Using the results of table 3, the social marginal product of investment in exports (TAM%,) can be calculate& Recall from eq, (16) F, = 0 l ((I- X)/X), ywhcre x is the share of exports in GDP. It follows then, Yfx) I-x =- lb0 l - x ’ and eq. (14) can be written (19) Using the parameters repo~,-_,J in table 3, eq. (19) generates the social marginal product of investment in exports for economies with different values of X. These are presented in table 4. The calculations in table 4 are free of the inconsistencies associated wit4 the numbers presented in table 2. Again, it is demonstrated i that, at the margin, investment in the export sector has a substantially higher s~%l Table 4 Social margina product of investment in exports semi- industrialized LDCs, l%4-1973. Share z$ exports in GDP (xj 0.1 cl.15 0.20 0.25 0.30 0.35 0.40 0.45 0.50 -- TMPK, Extended sampk 0.439 0.383 0.335 0.306 0.287 0.273 0.263 0.255 0.248 Limited sample 0.512 0.412 0.362 0.332 0.312 0.298 0.287 0.279 0.272 marginal productivity thcrn investment in non-exports. The differentid is smaller in economics where a large share of resources is already allocated to the export sector, as in such economies the inter-sector externality effect is smaller. 3.3. Sources of growth Using the results of table 3 anti the mean values of sample variables, th:: average rate of GDP growth in the period f 9644973 can br: decomposed so as to identify the contributions of aggregate investment, latter force growth and r-esource shifts into exports. This is done in table 5 for both samples. The resAts indicate that the gain in productivity due to closer-to-optimal Table 5 Sources of growth of semi-industrialized LDCs, 1964-1973. --_- -w -- -- (2) (3) r, (1) Parameter Contribution to gr~th Mean in ,ample (from table 3) 10) x(2)1 x 100 .-- --- Extended Limited Extended Limited Extended Limitc:d Variable sample _--- l/Y 0.205 i/L 0.02 3 (x’/X) * (Xl Y) 0.022 X/X 0.084 constant GDP growth t F/Y) 0.065 sample 0.222 0.020 0.03 0.105 sample sample sample samp t ________ ____~__ 0.124 0.139 2.54 3.09 0.696 0.587 1.60 1.17 0.305 0.302 fO.h7 0.9 1 0.131 0.124 I.10 1.30 0.006 O.005 0.60 0.53 ‘I.070 4.5 7.8 --_-- --___-_- -___ ______-______ D allocation associated with export expansion contributed more than 2.2 --1*4-?a CT- )AilS#W.B,ugv points to, the. growth -of -the s!,k&ly -sen&industriali countries, and close to 1.8 pera&ge *’ p$ii-ts if i the’ ’ less strict definition of industrialiition~ is used, The tinfr%utiog of exports car. be decomposed into two compormen~s: (i) Tne gain due to &&&Sal extqrnalig.ies affecting the non-export sector- &&ich ‘equals L’ 19 l (I -x) . @%/.X)J: (ii) the: gain due other elemeirats undcHying higher factor proc@tivity in the export sector ((W(I +4)*WX)*(X/y)). The calcuMions for the extended sample reveal that 0.81 of one percentage point is due to inter-sectoral externalities, and 0.96 is due to other efkcts. The Correspondiag figures for the limited sample are 0.93 and 1.27. Thus, slightly less than half of the gain.in growth due to higher factor productivity in exports is {due to inter-sectoral externalities, It is of interest to apply the specification of eq. (18) to a sample of developed =onomies so as to test for the existence of marginal factor productivify differentials and qxternaligy effects. The estimatc:s are reported in table 6 for both t& neo-classical formulation and eq. (i8); The results suwest that there is a substantial externa.lity elect, but the extent of marginal factor productivity differentials can not be established, since the coefficient of (x/x)*(X/Y) is not statistically significant. Using the point estimate as a basis for calcula’tion yields S/( I+ 6) = 0.25, which implies S = 0.33. The explanation of the significant difference in the estimated magnitude of the parameter 0 among developed and developing countrie:; requires more detailed analysis, which is beyond the scope of this paper. Table 6 Regression results for d xeloped economies, 1964-1973. Variable Nr:o-classical Model with externality (parameter) ?mnulation effects -- l/Y ta) - 0.350 0.1408 (? 26) (2.865) i,;L (8) 4 .( ‘05 0.6595 I LJ12) (1,483) cS,‘x)~cx/Y)(a/(1+6)-8) - Q,2400 (1.308) X/X (0) CA4938 (5.477) Constant - 0.0242 - 0.0301 (1.234) (2.608) L 0.444 0.815 17 J7 -_- ----_ luding tezarks This paper provides economies which adopt 71 evidence supporting the view that the success of export-oriented policies is due, at least partially, to the fac,t that such policies bring the ezonomy closer to an oplimal ak~ion of resources. The estimates show that there are, on averzkge, substantial differences in marginal factor productivities between the er.port and non- export sectors. These differences derive in part from the failul e of entrepreneurs to equate marginal factor productivities and in part dJe to externalities. The latter are generated because the export sector confers positive effects on the roductivity in the othersector? bul these ars not refiected in market prices. The results are such that social marginal productivities are higher in the export -sector, and economies which shift resources into exports wil; gain more than inward-oriented economies. The empirical findings suggest that even when entrepreneurs optimize resource allocation given the prices they face, there are substantial gains to be made due to the extemz.lity effects. The analytical framework developed in this study can be u%ized in studies using more detailed data such that the extent of productivity differential in specific groups of countries (with dSfcrz:lt policy orientation) can be assessed. Similarly, the relation between inter-sector externalities and export composition can be clarified further using the same analytical framework. Appendix: Sources of data and definitions .A. I. Cciculation of variables All data were obtained from World Tables 1980. Variable: were calculated from time series for the period 19661973 in constant prices. Average rates of growth were obtained by regressing In 2,. -a + be t where Z, is the economic variable under consideration and t is time. The rate of growth. say r, is then calculated as r =eb - 1. Average ratios (investment/GDP, export :GDP) were calculated as simple averages for the decade. Table A.1 presents means and standard deviations of the variables wed in the study. .4 2. Cmpnsition of samples Following Chmery (1980), the st* ict definition of semi-irndustk-ialized LDQ e excluded from ADEILSON Highlight ADEILSON Highlight 72 G. Fedttr, Qn exports md ecopromic growth Population growth Exparts growth Export share (Export growth) x e ;porP share 0.023 0.020 (Q.809) (Q.009) 0.084 Oil05 (0.070) (0.080) 0.235 0.266 (0.225) (0.282) 0.022 0.030 (0.032) (0.038) t!ie forrr,er is defined by the World Bank as a developed country and the latter is a major oil exporter. Countries which are considered as marginally semi-ir~dustrialized were added to the limited sample creating the ‘extenfied sample’. These countries are: Dominican Republic, Ecuador, Egypt, Guatemala, India, Ivory Coast, Kenya, Morocco, Peru, Philippines, Syria, Thailand and Tunisia. In addition, Iran, Iraq and Algeria are defined as nzarginal GHB but were excluded from the sample, being major oil exporters. Tht: samplk? of developed (countries consists of Australia, Austria, Belgium, Cana&% Dennlark, Finland, Fr mce, Germany, Ireland, Italy, Japan, The Nethenands, Norway, Sweden, SCtzerland, U.K., and U.S.A. 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