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Research Article
Weshah A. Razzak* and El M. Bentour
Do Developing Countries Benefit fromForeign Direct Investments? An Analysisof Some Arab and Asian Countries
Abstract: In addition to the widely-believed positive effects on growth, employ-ment, and wages, foreign direct investments (FDI) are often perceived as sourcesof funds for development. Developing countries, especially low income andemerging economies, welcome FDIs because of their favorable budgetary impli-cations. All of this resulted in increasing global FDIs. We discuss some specifi-cation and estimation problems that might affect the estimation of the rate ofreturns on FDI, and provide new figures for a number of FDI-receiving Arabcountries. We compare the results to those of some Asian countries, and discussthe policy implications. There is evidence that Arab countries have, relatively,benefited from their efforts to open their economies, to reform their institutionsand to attract FDIs.
Keywords: rate of return on FDI, estimation and specification problems, paneldataJEL Classifications: C13, C14, C21, C23, C26, O24
*Corresponding author: Weshah A. Razzak, Arab Planning Institute, Kuwait City, Kuwait,E-mail: [email protected], [email protected] M. Bentour, Arab Planning Institute, Kuwait City, Kuwait
1 Introduction
The theory of internalization predicts that foreign direct investment (FDI) existsbecause of the absence of free trade (Coase 1937). The theory of FDI is thor-oughly discussed in Hymer (1976), Buckly and Gasson (1976), Dunning (1977),and Rugman (1975). FDI by multinational companies cannot be explained byneoclassical trade theory. Market friction and imperfections inhibit private inter-national investments. The theory of internalization explains that the motivationsand reasons for foreign production and sales by multinational companies (FDI)are associated with these market imperfections. Free trade does not give rise to
doi 10.1515/rmeef-2012-0031 RMEEF 2013; 9(3): 357–388
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such companies. For example, when a country imposes tariffs on imports, profit-maximizing foreign exporters are better off if they establish production and salesin that country to avoid the tariffs. The same is true in the case of knowledge,which is transferred within the internal market between the multinational com-pany and its subsidiaries due to the absence of such market and competitiveprices.1 Internalization theory seems to suggest that FDI and free trade cannot bepositively associated. The connection between trade, FDI and growth was madeby Bhagwati (1978), who argued that the effects of FDI on economic growth arehypothesized to be stronger the more outward-oriented the country is. FDIaffects growth by increasing the stock of capital and, probably, by spilloverfrom foreign firms to local firms. It is hypothesized that FDI makes transfer oftechnology easier, increases employment, improves knowledge (whether humancapital, R&D, or both, as a result of cooperation and competition) betweendomestic and foreign firms, modernizes management practices, and couldenhance designs of existing products, i.e. development. Jones and Romer(2010) argue that there has been a positive trend in world trade and FDI, andthat the two variables are correlated. However, the trade, FDI, and economicgrowth nexus has been tested extensively in the literature and most economiststoday seem comfortable with it even though the empirical evidence is mixed.2
Regardless, the availability of FDI might be a cost-effective source of fundsfor development plans. Many developing countries in the Middle East, Africa,and Asia, for example, have been pursuing outward trade policies since the1980s and encouraging inward FDI in general.
Globalization has pros and cons. Havranek and Irsova (2012) and Thirlwall(2012) raise some important concerns about the effects of FDI for developingcountries. While global positive economic conditions are expected to increaseFDI flows, adverse world economic conditions can be associated with recessionsand unemployment in developing countries among many other economic pro-blems. That being the case, developing countries must evaluate their policiesand estimate the costs and benefits of FDIs. Among the information needed tomake informed decisions is to estimate the rate of return on FDI.
1 Rugman (1980) provides a number of examples.2 For example see Balasubramanyam, Salisu, and Sapsford (1996) and Kawai (1994) on trade-FDI-growth. Carkovic and Levine (2002) found the effect of FDI on growth is not robust in the presence ofopennessof trade.CarkovicandLevine (2002)hadan interaction termofpercapita incomeandFDIandreportsnogrowtheffect.Alfaroetal. (2007)arguethatFDIhassignificantgrowtheffect incountrieswithrelativelymoredevelopedfinancialmarkets.SeealsoAitkenandHarrison(1999),HaddadandHarrison(1993),andMansfieldandRomeo(1980).Themainprobleminthis literatureapparently isanestimationproblempointedoutbyCarkovicandLevine(2002)andthat isnottakingintoaccountsimultaneitybias,country-specific effects, and the use of lagged dependent variables in growth regression.
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There are many technical problems associated with the estimation of therate of return on FDI, which have not been addressed in the literature. As far aswe know, there are no surveys of the literature on this subject.3 The mainobjective of this article is to fill this gap in the literature and to provide amethodology for estimating the rate of return on FDI. We accomplish this bymeasuring the rate of returns on inward FDI in a sample of developing countries.
Essentially, measuring the rate of returns on FDI requires the estimation ofthe elasticity of output with respect to FDI. To do so, we rely on the economictheory of production. Theory is needed to serve as a guide on the externalvalidity of the econometric estimate of the elasticity of output with respect toFDI (Acemoglu 2010). Carkovic and Levine (2002) identify some of the problemsin the FDI-growth literature, which are related to our problem, but we discussand attempt to remedy more problems. The estimation, however, is significantlyaffected by a number of specification and estimation issues, which we discuss indetail in this article.
Specification problems include the choice of the production function’s func-tional form (e.g. Cobb-Douglas, constant elasticity of substitution (CES), Trans-log,etc.). The econometrician does not know the true data-generating-process (DGP).Specification errors occur if the true DGP is a CES production function, and theeconometrician fits a Cobb-Douglas. Other specification and estimation problemscan include nonlinearity, FDI flow versus stock, the order of integration and thespecification of trend, omitted variable problems, consistency, endogeneity, serialcorrelation, small sample bias, and error-in-measurement problems.
Given the uncertainty about the estimated elasticity and returns arising forthe problems above, we generate a rather thicker output, i.e. a number ofestimates, instead of one estimate for the elasticity and the rate of returns,and then compute an average rate of returns, which has a smaller varianceand is thus more reliable than a single estimate.4
Since we do not know what the true model is, we address the problemsabove by estimating different types of production functions and regressionspecifications, and use different estimators to produce a number of estimates,for a panel of five Arab countries. Then, we compare our estimates of the Arabcountries to those we obtain from four Asian countries, China, South Korea,Malaysia, and Thailand, over the same time period.
The answer to our question whether the Arab countries have benefited fromFDI is yes. We found that real GDP is fairly sensitive to small changes in FDI in
3 There is a literature on estimating the rate of return on investments in human capital andresearch and development, see Wieser (2007) for a survey of the literature.4 The concept of thick-modeling was first introduced by Granger and Yongil (2004).
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the five Arab countries, more so than the Asian countries; i.e. the size of theestimated elasticity is larger. However, the rate of returns in the Asian countries,especially in China and Korea, are higher than those of the Arab countriesbecause average productivity levels are higher in China and Korea.
We also found significant complementarities between FDI and human capital;when taken into account, higher returns in some countries resulted, and areexpected to spur more FDI inflows in the future. China and Korea have relativelymore and higher quality human capital than the Arab countries. The results mightsuggest that FDI would have a low average rate of return unless investments aremade in human capital, i.e. skills, to produce skill-intensive goods and services, andincrease productivity. These results are consistent with the findings in the growth-FDI literature, e.g. Carkovic and Levine (2002) and Kottaridi and Stengos (2010).
We also found significant nonlinear effects of FDI and the product of FDIand human capital on the level of GDP per capita.
Next, we layout the methodologies, discuss the specification and estimationissues pertinent to the calculation of the rate of return on FDI, describe the dataand show the estimation results. Section 3 concludes.
2 Methodology, estimation and results
The estimation of the elasticity of output with respect to FDI stock γ (i.e. thepercentage change in GDP/percentage change in FDI stock), and our analysisare theory-based. We use the production function to describe the relationshipbetween FDI stock and real GDP. We begin with the Cobb-Douglas productionfunction, which is, despite some criticisms, very well-grounded in economictheory, easy to estimate, and has a good empirical record (Miller 2008) thenwe estimate a CES production function to check the robustness of our estimates.
Consider the log-linear Cobb-Douglas Production function, in per unit oflabor form,5
5 The Cobb-Douglas Production function is Y ¼ AKαLβe", subscripts aside at this stage, Y isreal output, A is a constant exogenous technical progress, K is the stock of physical capital, L islabor input, and " is the error term, which has classical properties. To account for FDI in theproduction function we assume that the effective stock of capital consists of ðKdÞ, which denotesthe domestic stock of capital, and ðKf Þ, which is the foreign stock of capital, i.e. FDI stock. Theproduction function would have an extra term eλt, where λ is the rate of disembodied technicalchange. If the data have unit roots this linear time trend would be a misspecification issue. If,however, we find the data to be trended, but the trend is not stochastic we would have to havethis linear trend term back in the specification. It is, however, extremely difficult to discern onefrom the other.
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ln y ¼ aþ α ln kd þ γ ln kf þ δ ln Lþ ": ½1�
.Subscripts aside for the time being, lowercase letters denote the natural log ofper unit of labor quantities, i.e. y is output per unit of labor, a is log technicalprogress, which is assumed to be constant and exogenous, kd is domestic capitalper unit of labor, kf is FDI per unit of labor, and the sum of the domestic and FDIcapital stocks is simply the effective stock of capital, L is labor, and ε is the errorterm that has classical properties. Estimating equation [1] would yield an esti-mate of the long-run elasticity or the share of FDI, γ̂ ¼ Δ ln y
Δ ln kf� %ΔY
%ΔKf¼ ΔY
ΔKf:Kf
Y ,therefore the theory suggests that the real rate of return on FDI stock isΔYΔKf
¼ γ̂ YKf, which hinges on the value of γ̂.
To interpret the measure for example, let the estimated elasticity γ be 0.5,GDP is 6 dollars and FDI is 1 dollar. The rate of return is 0.5(6/1) ¼ $3. Thus, a100% increase in FDI from $1 to $2 increases GDP from $6 to $9, reflecting theestimate of γ, which is 0.50.
Below we list a number of the other challenges and problems.First, an omitted variable problem might be present. Essentially, we will
never be able to tell which and how many variables are omitted, which is whywe rely on economic theory of the production function. The omitted variableproblem results in biased and inconsistent Least Squares parameter estimates.
Amodified theory of production, however, considers the stock of human capitalan additional explanatory variable that is actuallymissing from the original produc-tion function in eq. [1]. There is literature on technology diffusion where humancapital is required. The theory is found in Nelson and Phelps (1966), Grossman andHelpman (1991, ch. 11), and Barro and Sala-i-Martin (1995, ch. 8). Borensztein, DeGregorio, andLee (1998) andBenhabibandSpiegel (1994) arewidely-cited examplesof supporting empirical evidence. Thus,weconsiderhavingameasure of the stockofhuman capital as an additional regressor.Wewill use Barro and Lee (2010)measure,i.e. the average years of schooling, to measure the stock of human capital. Humancapital can either be an additional exogenous factor of production, see Mankiw,Romer, andWeil (1992), or a factor influencing technical progressα in theproductionfunction.Also,we report a regression that includes theproduct ofhumancapital andFDI stock to capture complementarities.6
Second, errors in measurement lead to biased and inconsistent parameterestimates in Least Squares. We, however, focus on the long-run and not the
6 It would be important to include a measure of the quality of human capital too. Measurementof quality is tricky. There are some data, but the time series are short. Future research must takethis variable into account.
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short-run dynamics becausewe are interested in an estimate of γ in eq. [1], and errorsinmeasurement are less of a problem in the long rununless the errors are systematicand cumulate to I(1). We will show that the errors are actually stationary.
Third, endogeneity is also present as a problem (single equation bias).Instrumental Variable methods are usually prescribed as a remedy to this problem.Weuse thegeneralizedmethodofmoment (GMM)estimator,which isageneralizedIVestimator. Finding the appropriate instruments is always challenging. Weak instru-ments often cause additional problems. We will test for the presence of endogeneity,discuss the choice of relevant instruments, which are correlated with the regressorsespecially the FDI, capital and human capital, and not correlatedwith the residuals.
Fourth, small sample bias is also a problem that affects the reliability of theestimated standard errors of the estimates. To improve the estimation of thestandard errors we use a pooled time-series–cross-section data. The panel willalso allow for a slope change and a fixed effect.
Fifth, it has been argued, see Stengos and Kottaridi (2010), that FDI andhuman capital have nonlinear effects on growth. We use a semi-parametricestimator to estimate quantile regressions, which will account for changes inthe slope parameters over the distribution.
2.1 The data
Since our objective is to estimate a production function like the one in eq. [1], wesearch for data for all the variables in that function. We found data for output,labor and gross capital expenditures in the World Development IndicatorsDatabase and the FDI flows in the UNCTAD database. We found the minimumnumber of observations from 1980 to 2009 for all the variables of the model forfive Arab countries only, namely Algeria, Egypt, Jordan, Morocco, and Tunisia.The Gulf Cooperation Council countries, Bahrain, Kuwait, Oman, Qatar, SaudiArabia, and the United Arab Emirates, do not have the minimum number ofobservations required for the estimation of the production function. They havemissing observations. For the Asian countries, we found comparable data forChina, South Korea, Malaysia, and Thailand. We believe that this sample is areasonable representative sample of Arab and Asian countries.
Table 1 reports the percentage share of FDI in GDP. Share of FDI in GDP issignificantly larger in the Arab countries than the Asian countries over thesample. Table 2 describes the data. All the data are in real terms. The stock ofcapital is constructed from gross capital formation using the Perpetual InventoryMethod with a depreciation rate fixed at 6%, and a proxy for the initial stock K0
equals to 2 times real GDP.
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The stock of human capital is computed as in Barro and Lee (1993, 2010),and it measures average years of schooling. Although there are other methods tomeasure the stock of human capital, we do not have sufficient data for thecountries in our sample to use them.7 The available enrollment time series havemissing values in the Arab countries, therefore we interpolate the data wheneverthat was required. Enrollments have trends as do the stocks of capital in the
Table 1: FDI flows as % of GDP
1980 2008 2009
Algeria 0.8 1.6 2.0Egypt 2.3 5.7 3.6Jordan 0.8 13.3 10.4Morocco 0.4 2.9 1.5Tunisia 2.8 7.0 4.3China 0.02 2.45 1.91Korea, Republic of 0.03 0.90 0.90Malaysia 3.67 3.24 0.75Thailand 0.58 3.10 1.89
Source: UNCTAD database.
Table 2: Definition of data variables 1980–2009 annual data
Ln GDP, Y Gross domestic product at constant prices 2000. Source: WorldDevelopment Indicators database, WDIs, (World Bank).
FDI stock, Kf FDI data stocks. Source: UNCTAD database. It is deflated by the grosscapital formation price from the WDIs database.
Domestic Capital, Kd Total capital stock constructed using gross fixed capital formation. Thedata are from the WDIs, (World Bank) and the perpetual inventorymethod with a depreciation rate of 6% and the initial capital equal 2times real GDP of 1979. Domestic capital stock is the total minus FDIstock.
Human capital, H The Barro-Lee formula for the developing countries, including the Arabcountries in our sample is given by Hit ¼ Consþ 0:439Peþ 2:665Seþ½8:092 Te�, where Pe is primary, Se is secondary and Te is tertiary sharesof gross enrolments. The constant term is allowed to vary acrosscountries.
Working agepopulation L
Working age population aged 15–64 years, a proxy for labor. Source:WDIs database.
7 The Jorgenson and Fraumeni (1992) method constructs a stock of human capital, which isbased on lifetime earnings.
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Arab countries. We use the Barro and Lee formula to compute the time series forthe stock of human capital for each of the Arab countries, and enabled theconstant term in the equation to vary across the countries. The equation isreported in Table 2. For the Asian countries, however, the formula above doesnot fit the data, so we take the human capital stock data, which are reported asfive-year intervals (e.g. 1955, 1960, 1965, etc.) in Barro and Lee (2010), andinterpolate the data using a geometric mean approach. Our estimates ofhuman capital are plotted in Figure 1. Essentially, the two data sets, the Araband the Asian, have the same time series properties. They trend upward andthey both have unit roots as will be shown in the next section.
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Human capital using Barro-Lee data extrapolated by five years intervalsHuman capital using Barro-Lee equation for developping countries
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Figure 1: Log average years of schooling
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2.2 Empirical results
We begin by estimating the following Cobb-Douglas log-linear specificationsusing a panel for the Arab countries, i ¼ 1 . . . 5 over the period 1980–2009.8
Later, we will examine a CES production function for robustness.We fit three independent and stand alone log-linear Cobb-Douglas produc-
tion functions:ln yit ¼ aþ α ln kdit þ γ ln kfit þ δ ln Lit þ "2it; ½2�
We keep labor L in the regression so that δ captures the deviations from constantreturns to scale δ ¼ αþ γþ β � 1, and β is the share of labor in the levelproduction function (see endnote iv).
And the other specification includes human capital per unit of labor h as anadditional regressor:
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Human capital using Barro-Lee data extrapolated by five years intervalsHuman capital using Barro-Lee equation for developping countries
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Figure 1: (Continued)
8 Jallab, Gbakou, and Sandretto (2008) is the only paper we are aware of on the issue of FDIand growth in the Arab countries using a proper estimation technique.
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ln yit ¼ aþ α ln kdit þ γ ln kfit þ ρ ln hit þ δ ln Lit þ "3it; ½3�where δ also captures the deviations from constant returns to scaleδ ¼ αþ γþ ρþ β � 1.
And, to account for complementarities, we have ðkf hÞit, the per-unit of laborproduct of FDI stock and human capital, as an additional regressor:
ln yit ¼ aþ α ln kdit þ γ lnðkf hÞit þ δ ln Lit þ "4it ½4�where δ ¼ αþ γþ β � 1 measures the deviation from constant returns to scale.
We will be estimating the above equations for the Arab and Asian panels.We use the same notation in all three equations to conserve space and tosimplify reporting of the results, but note that 2, 3 and 4 are different specifica-tions. The coefficients in 2, 3 and 4 are different, and there is no cross-equationrestrictions imposed on these coefficients.
Understanding trend in time series is difficult. Phillips (2003) and White andGranger (2011), among others for example, argue and explain why it is. Typically,practitioners test for unit root in the individual time series, and recently in the panelas well. A conclusion that has been reached by many macroeconomists, e.g. Stock(1991), Rudebusch (1993), and Christiano and Eichenbaum (1990), is that it is ratherdifficult to settle the issue of unit root especially in the case of the GDP data. Further,there are a large number of tests, wheremost suffer from short sample bias and lackof power against stationary alternatives. We use a number of tests with a variety ofspecifications. The results of all the tests indicate that the datahaveunit roots,whichis not surprising. The inability of the test statistic to reject the null hypothesis often isa sign of weakness of the test.
The second step in trend identification issue is to test the null hypothesisthat there is no co-integration among the variables, which is a necessary secondstep of testing.9 Following the same strategy we easily rejected the null
9 We use panel cointegration tests, the Johansen-Fisher test found in Maddala andWu (1999), Kao’s(1999) residual test,andPedroni’s (1999,2004)residual test.Thelatter includesanumberof tests,whichallow for heterogeneous slope coefficients to vary across the panel (the panel v-test, panel ρ test, panelPhillips-Perrontest,panelADFtest,groupρ test,groupPhillips-PerrontestandgroupADFtest).Thenullhypothesis is that the residuals are I(1) – no cointegration – and the alternative hypothesis is that theresiduals are I(0). For the first 4 tests, the assumption is that under the alternative hypothesis, theresiduals have a common AR coefficient. In the remaining 3 tests, the assumption is that the residualsunder thealternativehypothesishaveanindividualARcoefficient.Kao(1999) test is similar toPedroni’stest in principle, i.e. a residual-based test, but there are cross-section specific intercepts and homo-genous coefficients in the first-stage regressors. The null hypothesis is that the residuals are I(1). TheMaddala and Wu (1999) Johansen test is similar to Johansen’s time series tests, i.e. a maximumeigenvalue test.
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hypothesis of no co-integration in the Arab countries panel and in the Asianpanel.10 Rejecting the null hypothesis is encouraging, because the power of thetest is not a relevant issue when it rejects the null. Given these results, we willproceed with estimating the log-level production function because under theassumption of co-integrated I(1) variables the estimated coefficients are super-consistent and inference is possible. Razzak (2007) provides a testing strategy,where all available tests to the practitioner should be used with all possiblespecifications until a consensus emerges.11 See Baltagi (2000).
We are set to estimate the above three specifications in levels. We begin withthe EGLS estimator, which is the appropriate method to estimating panel datawhen the regressors are co-linear and the explanatory variables are assumed tobe strictly exogenous. Our regressors are in log-levels and they are trendingtogether. There is evidence of co-linearity. However, EGLS is just a benchmarkestimator, and cannot be used in the presence of endogeneity, nonlinearity andother specification and estimation issues.
We suspect that endogeneity is present. We test for endogeneity of the stockof capital, ðkdÞit, the stock of FDI, ðkf Þit and the stock of human capital, hit. Weuse the Hausman (1978) endogeneity test.12 The hypothesis that all three regres-sors are exogenous is strongly rejected; hence, the GMM estimator will be usedto estimate the production function.13
For instruments in GMM we use constant term, two lags of FDI stock, thecontemporaneous log of the European Union’s real GDP which is strictly exogenousto theArabcountries,andanumberofdummyvariables takingthevalueofonewhentheprogramsbeginandzeroelsewhere.Theseare (1) IMFmacrostabilityprogram, (2)joining the World Trade Organization, and (3) free-trade agreement year with theEuropean Union. These variables are relevant and highly correlated with FDI flows
10 Only the Pedroni (2004) test(s) for the Asian panel has high the p values.11 We use a variety of common test statistics such as the Dickey-Fuller (1979), the ADF test, Saidand Dickey (1984; Phillips and Perron (1988), and Elliot (1999). We also use different specifica-tions (with and without trend), and test the lag structure using various testing criteria. We alsotested the panel of the five countries for a unit root using a variety of common tests such asLevin, Lin, and Chu (2002), Breitung (2000), Im, Pesaran, and Shin (2003), Hadri (2000), Sarnoand Taylor (1998) and Taylor and Sarno (1998).12 We regress each of the three explanatory variables on a constant and the set of instruments,retrieve the residuals and then estimate the equations with the residuals as additional regres-sors. We test the hypothesis that the set of the coefficients of the residuals are zero using both Fand Chi-squared.13 The GMM estimator minimizes SðβÞ ¼ ðP
N
i¼1Z0"iðβÞÞ0WðP
N
i¼1Z0"iðβÞÞ ¼ gðβÞ0WgðβÞ with respect to
the coefficients matrix β for a chosen pxp weighting matrix W, where "iðβÞ ¼ ðYi � f ðXit ; βÞÞ;gðβÞ ¼ PN
i¼1giðβÞ ¼
PNi¼1
Z0"iðβÞ and Z is a Tixp matrix of instruments.
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and FDI stocks. For capital and human capital we use a number of shares of agegroups in total populations, such as the share of people aged 20–24, 25–29, 60–64.Cook (2002) explains that these instruments are highly correlated with capital andhuman capital because the life-cycle theory shows that both increase with age, peakatmid age, then decline. The same is true and clearly present in the data for employ-ment, hours worked and wages. We test for weak instruments. Lagged regressorsused as instruments lead to a weak instruments’ problem, which typically leads to adownward bias in the estimated share of capital and to, generally, biased resultsMairesse and Hall (1996). Our F-test does not show any such problem.14
Table 3 reports the results for the EGLS and GMM estimators.15 In addition,we report results for the quantile regressions. We use a fixed effect model, whereall coefficients are fixed across countries, except the FDI stock elasticity γ,White’s method to estimate the variance–covariance matrix, and report a num-ber of diagnostic statistics.
The EGLS and GMM estimates are reported in the first and second columns ofeach of the two panels in Table 3, but the focus is on GMM. The coefficient α (theshare of capital) is kept fixed across countries to conserve on the number of degreesof freedom.16 The estimates of α are sizable, which is typical in the Arab data.17
The average GMM estimates of the γ’s across the three different regressionspecifications are: 0.08, 0.38, 0.32, 0.19, and 0.31%in Algeria, Egypt, Jordan,Morocco, and Tunisia, respectively. The highest elasticity is in Egypt, Jordan,and Tunisia. Algeria has the lowest. The average elasticity across the Arab
14 We found that the p values of the F statistics of the first-stage 2SLS estimator to be verysignificant, 0.0000 for all six regression specifications for the Arab and the Asian panels. Thus,there is a strong correlation between the instruments and the endogenous variables. See Baumand Schaffer (2003).15 We do not use dynamic GMM (Arellano and Bond 1991; Arellano and Bover 1995 andBlundell and Bond 1999) because we are (1) interested in the long-run point elasticity tocompute the rate of returns, and (2) because we have a short panel, i.e. N is small.16 We also allowed the share of human capital ρ to vary across countries, but we do not reportthe results to save space. The results are available upon request. We found the coefficientestimate to be insignificant for Algeria. We also found the coefficient estimate to be negative forJordan and Morocco. A number of papers on growth-FDI seem to report negative coefficients forFDI or human capital in similar specifications (see for example, Kottaridi and Stengos (2010);Varum et al. (2011) and Borensztein, De Gregorio, and Lee (1998)). Finally we found thecoefficient to be positive, sizable, and significant for Egypt and Tunisia.17 Independent calculations of the ratios of gross operating surplus to GDP from NationalIncome Accounts also reveal similarly high values. These estimates are between 0.35 and0.78 depending on the specification.
368 W. A. Razzak and E. M. Bentour
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Table3:
Cob
b-Dou
glas
prod
uction
func
tion
estimated
elasticity
forArabcoun
tries
Spe
cification
1Spe
cification
2Spe
cification
3
lny it¼
a 2þα 2
lnk d
itþγ 2
lnk f
itþδ
2lnL itþ" itiii
lny it¼
a 3þα 3
lnk d
itþγ 3
lnk f
itþρ 3lnh i
tþδ 3
lnL itþ"iii it
lny i
t¼
a 4þα 4
lnk d
itþγ 4
lnðk
fhÞ it
þδ 4
lnL itþ"iii it
EGLS
GMM
iQua
ntile
iiEG
LSGMM
iQua
ntile
iiEG
LSGMM
iQua
ntile
ii
0.25
0.50
0.75
0.25
0.50
0.75
0.25
0.50
0.75
α0.667
0.786
0.540
0.785
0.622
0.282
0.347
0.552
0.637
0.299
0.396
0.772
0.572
0.756
0.360
(0.0000)
(0.000
0)
(0.0001)
(0.0000)
(0.000
0)
(0.0003)
(0.0000)
(0.0000)
(0.0000)
(0.0668)
(0.000
9)(0.0000)
(0.000
0)
(0.0000)
(0.0002)
γ Algeria
0.126
0.145
0.107
0.201
0.291
−0.092
−0.016
0.076
0.132
0.358
0.070
0.111
0.097
0.164
0.372
(0.0000)
(0.000
0)
(0.025
6)
(0.0001)
(0.000
2)(0.0217)
(0.2874
)(0.044
7)(0.0074
)(0.0000)
(0.000
4)(0.0000)
(0.0103)
(0.0000)
(0.0000)
γ Egypt
0.389
0.419
0.084
0.235
0.274
0.313
0.378
0.072
0.155
0.285
0.360
0.371
0.087
0.193
0.1318
(0.0000)
(0.000
0)
(0.074
6)
(0.0000)
(0.000
3)(0.0000)
(0.0000)
(0.1087)
(0.0013)
(0.0000)
(0.000
0)
(0.0000)
(0.038
7)(0.0000)
(0.0000)
γ Jorda
n0.339
0.371
0.128
0.201
0.230
0.200
0.253
0.040
0.084
0.174
0.264
0.337
0.099
0.148
0.228
(0.0000)
(0.000
0)
(0.0000)
(0.0000)
(0.000
0)
(0.0000)
(0.0000)
(0.4758)
(0.0672
)(0.0000)
(0.000
0)
(0.0000)
(0.000
0)
(0.0000)
(0.0000)
γ Morocco
0.189
0.164
0.151
0.277
0.312
0.186
0.210
0.136
0.200
0.328
0.225
0.160
0.142
0.232
0.355
(0.0000)
(0.000
0)
(0.0001)
(0.0000)
(0.000
1)(0.0000)
(0.0000)
(0.0001)
(0.0000)
(0.0000)
(0.000
0)
(0.0000)
(0.000
1)(0.0000)
(0.0000)
γ Tun
isia
0.472
0.510
0.122
0.197
0.228
0.080
0.175
0.078
0.115
0.214
0.300
0.247
0.108
0.159
0.253
(0.0000)
(0.000
0)
(0.0000)
(0.0000)
(0.000
0)
(0.1311)
(0.0003)
(0.0061)
(0.0013)
(0.0000)
(0.000
0)
(0.0000)
(0.000
0)
(0.0000)
(0.0000)
ρ0.534
0.536
0.282
0.292
0.294
––
––
–(0.0000)
(0.0000)
(0.077
8)
(0.0030
)(0.0001)
––
––
–
δ−0.103
−0.054
0.150
0.000
−0.046
0.26
20.182
0.237
0.160
0.136
−0.225
−0.130
0.079
−0.061
−0.237
(0.018
7)(0.000
0)
(0.2026
)(0.994
3)(0.4312)
(0.0000)
(0.0000)
(0.0084)
(0.026
5)(0.0318)
(0.000
0)
(0.0000)
(0.5009)
(0.3692
)(0.0000)
(con
tinu
ed)
An Analysis of Some Arab and Asian Countries 369
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Table3:
(Con
tinu
ed)
Spe
cification
1Spe
cification
2Spe
cification
3
lny it¼
a 2þα 2
lnk d
itþγ 2
lnk f
itþδ
2lnL itþ" itiii
lny it¼
a 3þα 3
lnk d
itþγ 3
lnk f
itþρ 3lnh i
tþδ 3
lnL itþ"iii it
lny i
t¼
a 4þα 4
lnk d
itþγ 4
lnðk
fhÞ it
þδ 4
lnL itþ"iii it
EGLS
GMM
iQua
ntile
iiEG
LSGMM
iQua
ntile
iiEG
LSGMM
iQua
ntile
ii
0.25
0.50
0.75
0.25
0.50
0.75
0.25
0.50
0.75
σiv
0.0668
0.0647
0.132
40.096
10.1199
0.070
50.0630
0.133
00.098
00.133
90.056
90.0557
0.128
80.095
70.138
7
25.068
23.916
25.844
J−
(0.198
8)
––
−–
(0.199
4)–
−–
–(0.134
6)
––
–
3.830
0.413
0.457
1.041
1.618
1.055
Jarque
-Bera
(0.147
3)(0.8133)
––
–(0.795
4)(0.594
2)–
–−
(0.445
2)(0.5899
)–
––
Waldv
––
0.0000
0.0000
–−
0.0000
Notes:Wedo
notrepo
rtthecons
tant
term
s,an
dpvalues
arein
parenthe
ses;
Tis
1980–2
009,
Nis
5;i Pan
elGMM
regression
fixedeffect
withcros
s-sectionweigh
tsforGLS
weigh
t,white
cros
ssectionforGMM
weigh
ting
matrix,
andwhite
cros
ssectionforcoefficien
tsstan
dard
errors
andcovarian
cematrix(withcorrectedde
gree
offree
dom).Th
einstrumen
tsare
cons
tant
term
,logGDPfortheEu
rope
anun
ion,
dummyvariab
lesfortheIM
Fmacro
stab
ility
prog
ram,eq
uals
1whe
njoiningtheprog
ram
andzero
outside,
forWTO
,joiningyear
¼1,
free
trad
eag
reem
entyear
withEu
rope
anUnion
¼1sinc
etheag
reem
entstarts
andzero
before,logsh
areof
agegrou
pin
totalp
opulation(e.g.pe
ople
aged
20–2
4,25
–29,…,60–
64),
twolags
oflogFD
Istocks
forthefirstan
dsecond
specification
,an
dtw
olags
ofloginteractionterm
forthethirdsp
ecification..;
iiIn
thequ
antile
regression
s,weus
edtheHub
erSan
dwichforcoefficien
tstan
dard
errors
andcovarian
ce,Kerne
l(Epa
nech
niko
v)us
ingresidu
alsan
dHall-She
athe
r,ba
ndwidth
¼0.18666
;iii δ¼
αþβþγ�1mea
suresthedistan
cefrom
cons
tant
returnsto
scale.
Thecoefficien
tβis
thesh
areof
labo
rin
theCob
b-Dou
glas
prod
uction
func
tion
.Forthesecond
specification
,δ¼
αþβþγþρ�1;
ivσis
theStand
ard
errorof
theregression
;v The
pvalues
forWaldtest
ofthe
hypo
thesis
that
γ 0:25¼
γ 0:50¼
γ 0:75;jisthetest
statisticforover-ide
ntifying
restrictions
;Jarque
-Berais
theno
rmalitytest
for
theresidu
als.
370 W. A. Razzak and E. M. Bentour
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countries is approximately 0.25%.18 It says that a 1% increase in the stock of FDIstock increases the level of real GDP by about a quarter of a 1%.
The quantile regressions are reported in the remaining columns of each of thepanels of Table 3. There is a significant nonlinear effect on GDP per capita level. Theestimated elasticity is relatively larger in magnitude in the upper quantile for allcountries. Taking Algeria for example, the average estimated elasticity in the upperquantile across all three regression specifications is 0.34%. This is significantlylarger in magnitude than the 0.08% reported in GMM.
The coefficients of the quantile regression are slopes at different quantiles,where the slope of the 0.75 quantile is steeper than that of the 0.25 quantile. Theslopes of the 0.25, 0.50 and 0.75 lines indicate how the value of (ln y) changeswith, for example, (ln kf ) moving along the different percentiles of the distribu-tion of values of (ln y) at each value of (ln kf ). This is not the same as saying thatFDI per unit of labor leads to a greater increase in output per unit labor at highvalues of the dependent variable. McMillan (2013) shows that this is misleadinginterpretation of quantile regression results, which is common in the literature.His simulations show that it is not the case that an increase in independentvariable (X) leads to a greater increase in the dependent variable (Y) whenever(Y) is high. The steeper slope at the 0.75 quantile indicates that increases in (X)lead to greater increase in (Y) along the 0.75 quantile of (Y) values than on the0.50 or the 0.25 quantile, conditional on the values of (X).
In EGLS and GMM δ is < 0, except for the second specification, which ispositive.19 The p values of the J statistics for GMM indicate that we cannot rejectthe over-identifying restrictions. The residuals pass the normality test. The mainfindings in Table 3 are that both FDI and human capital have significant non-linear effects on output. The complementarities between FDI and human capitalare evident in the regressions.
Now we are in a position to compute the rate of returns. We use ourestimates of γ to calculate the rate of return on FDI for each country. For eachcountry, we use the GMM estimated value of γ, and the average of output/FDI
18 We re-estimated the regressions (GMM) and fixed the coefficient γ for all Arab countries. Theestimated elasticity (is an average elasticity across all Arab countries) is 0.22%.19 This coefficient measures the distance from a constant returns to scale. There are different inter-pretations to this negative value. One is that the production function exhibits a decreasing return-to-scale. This suggests that theArabmarkets are small, thus doubling output is costly and requiresmorethan doubling inputs. It could alsomean that output in the Arabmarkets is consistently priced belowmarginal cost. BasuandFernald (1997) suggest that this interpretationanddecreasing returns to scalesoundsillogicalforaprofit-maximizingfirm.However,there isevidencethat themajorityoffirmsintheArab countries are small in size with negative value added, hence non-profitable firms, Alkawaz(2006). Of course a positive valuemeans that the function exhibits an increasing return to scale.
An Analysis of Some Arab and Asian Countries 371
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stock over the whole sample, and also report the overall average value of thereturns. Results are in Table 4. This table has three panels. Each panel repre-sents a regression specification. Algeria has a high rate of return, because outputis high due to oil and gas production. Egypt has the second highest return 1.63,which is more meaningful than Algeria’s figure, because Egypt is not an oil-producing country and its gas production is small. Morocco and Jordan comenext, and Tunisia has the smallest return, 0.64. All these numbers are measuredin constant dollars. The estimated average rate of returns on FDI for all five Arabcountries is approximately 1.30. These numbers mean that a one dollar increasein FDI stock increases the average output of all five Arab countries by 1.30dollars, reflecting average elasticity of 0.25%.
For example, a 100% increase in the average FDI stock in all five Arabcountries (from $25 billion to $50 billion) increases average GDP of the five Arabcountries from $120 billion to $150 billion, reflecting the elasticity, which is0.25%. A similar interpretation applies to each individual country.
Table 5 reports the rate of returns using the estimated elasticity for quantileregressions, which we reported in Table 3 earlier. As we explained earlier, it isclear that the rate of returns on FDI increases with the quantiles, the higher thequantile the higher the rate of returns. FDI, just like human capital, has asignificant nonlinear effect on output.
Now we compare our estimates of the rate of returns on FDI in the Arabcountries to those of the Asian countries. We estimate the same specifications ofthe Cobb-Douglas production function in 2, 3, and 4 above using GMM only, and
Table 4: The rate of returns on inward FDI measured in Arab Countries
CountrySpecification 1i Specification 2i Specification 3ii
Averageln yit ¼ aþ α ln kdit
þγ ln kfit þ δln Lit þ "it
ln yit ¼ aþ α ln kditþγln kfit þ ρlnhit
þδln Lit þ "it
ln yit ¼ aþ αln kditþγln ðkfit :hitÞþδ ln Lit þ "it
Algeria 3.07 0.00 2.47 1.85Egypt 1.96 1.10 1.83 1.63Jordan 1.08 0.56 1.24 0.96Morocco 1.28 1.64 1.29 1.41Tunisia 0.88 0.30 0.76 0.64Average 1.65 0.72 1.52 1.30
Notes: iThe rate of returns on FDI is γ � average YKf
� �; iiThe rate of returns on FDI is
γ � average YKf
� �þ γ � average Y
H
� �ΔYΔH
� �.
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Table5:
Estimated
returnsforqu
antile
regression
s
FirstSpe
cification
Secon
dSpe
cification
ThirdSpe
cification
Quintile
s
lny i
t¼
aþαlnk d
itþ
γlnk f
itþδlnL itþ" it
lny i
t¼
aþαlnk d
it
þγlnk f
itþρlnh i
tþδlnL itþ" it
lny i
t¼
aþαlnk d
it
þγln
ðkfit:h i
tÞþδlnL itþ" it
Elas
ticity
Returni
Elas
ticity
Returni
Elas
ticity
Returni
i
Algeria
Q1¼
0.25
0.11
0.68
0.08
0.48
0.10
0.61
Q2¼
0.50
0.20
2.24
0.13
1.48
0.16
1.83
Q3¼
0.75
0.29
5.32
0.36
6.54
0.37
6.79
Egyp
tQ1¼
0.25
0.08
0.11
0.07
0.09
0.09
0.11
Q2¼
0.50
0.24
0.57
0.16
0.38
0.19
0.47
Q3¼
0.75
0.27
1.04
0.29
1.09
0.32
1.21
Jordan
Q1¼
0.25
0.13
0.09
0.04
0.03
0.10
0.07
Q2¼
0.50
0.20
0.35
0.08
0.15
0.15
0.26
Q3¼
0.75
0.23
0.62
0.17
0.47
0.23
0.61
Morocco
Q1¼
0.25
0.15
0.18
0.14
0.17
0.14
0.17
Q2¼
0.50
0.28
0.71
0.20
0.51
0.23
0.59
Q3¼
0.75
0.31
1.39
0.33
1.47
0.35
1.58
Tunisia
Q1¼
0.25
0.12
0.08
0.08
0.05
0.11
0.07
Q2¼
0.50
0.20
0.18
0.11
0.10
0.16
0.15
Q3¼
0.75
0.23
0.31
0.21
0.29
0.25
0.34
Notes:i The
rate
ofreturnson
FDIis
γ�averag
eY K f�� ;
iiTh
erate
ofreturnson
FDIis
γ�a
verage
Y K f�� þ
γ�a
verage
Y H��ΔY ΔH�� .
An Analysis of Some Arab and Asian Countries 373
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report the parameter estimates in Table 6.20 We report the corresponding rates ofreturns in Table 7.
The average share of capital is 0.66, which is larger than that in the Arabcounterpart, which is about 0.50. The production function is either a decreasingreturns to scale or more probably a constant return to scales because the pvalues are relatively large.
The average estimated elasticities of FDI with respect to output are: 0.21, 0.10,0.34, and 0.15% for China, Korea, Malaysia, and Thailand, respectively. The averageacross all four Asian countries is 0.20%. Thus, the elasticity is smaller in magnitudethan the Arab estimate. This is because these Asian countries havemassive domesticinvestments. We compute the rate of returns on FDI. China and South Korea have
Table 6: Cobb-Douglas production function estimated elasticity for Asian countries
Specification 1 Specification 2 Specification 3
ln yit ¼ aþ αln kditþ γln kfit þ δln Lit þ "it
iln yit ¼ aþ α ln kditþγ ln kfit þ ρ ln hit
þδ ln Lit þ "iti
ln yit ¼ a
þαln kdit þ γln ðkf hÞitþδln Lit þ "it
i
α 0.665(0.0000) 0.669(0.0000) 0.667(0.0000)γChina 0.233(0.0000) 0.207(0.0000) 0.195(0.0000)γKorea 0.112(0.0000) 0.090(0.0001) 0.102(0.0000)γMalaysia 0.378(0.0000) 0.340(0.0000) 0.313(0.0000)γThailand 0.167(0.0000) 0.140(0.0000) 0.147(0.0000)ρ − 0.203(0.3314) –δii −0.456(0.0121) −0.289(0.2644) −0.451(0.0118)σiii 0.0787 0.0728 0.0728J 13.761(0.3160) 15.323(0.2876) 12.380(0.3357)Jarque-Bera 2.269(0.3215) 2.055(0.3578) 2.653(0.2652)
Notes: Constant terms are not reported; T is 1980–2009, and N is 4; iPanel GMM regressions,fixed effect, cross-section GLS weight, white diagonal instrument for weighting matrix, andwhite diagonal for coefficients standard errors and covariance matrix (with corrected degree offreedom). The instruments are constant term, dummy variable WTO joining year ¼ 1 and zerothereafter, log of (import plus export) as ratio to GDP, three lags of yit , three lags of log kfit ,three lags of interaction term, linear trend; iiδ ¼ αþ β þ γ� 1 measures the distance fromconstant returns to scale. The coefficient β is the share of labor in the Cobb-Douglas productionfunction. For the second specification, δ ¼ αþ β þ γþ ρ� 1; iiiσ is the Standard error of theregression; J is the test statistic for over-identifying restrictions; Jarque-Bera is the normalitytest for the residuals.
20 Quantile regressions failed to produce any sensible results for Asia, which may indicate thatdistributional nonlinearity is insignificant.
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relatively larger returns. These twocountries inparticularhavebenefited significantlyfromhuman-capital–FDI complementarities. In constant dollars, the average rates ofreturnsonFDIacrossthethreedifferentspecificationsoftheCobb-Douglasproductionfunction are: 6.5 inChina, 3.9 inKorea, 1.3 inMalaysia, and 1.6 inThailand.ChinaandSouth Koreaproduce relativelymore skilled-intensive goods than theArab countries.Onaverage, a dollar increase in FDI across all fourAsian increasesGDPby 3.3 dollars.This is at least twice as much as the returns for the Arab countries in our sample, butstill indicates that returns of foreign firms aremuch higher.
For Asia and over the sample, a 100% increase in the average FDI stock inall four countries, China, Korea, Malaysia and Thailand from $50 billion to $100billion increases average GDP for the Asian countries by $80 billion from 400billion to 480 billion, reflecting an average elasticity of 0.20.
Figure 2 plots the average GMM estimate of γ across different specifications,by country. Figure 3 plots the corresponding average rate of returns to FDI bycountry.
Our results point to significant differences in the responsiveness of the Araband the Asian economies to changes in FDI, where China and Korea are clearlyreaping relatively more benefits from FDI than the other countries. There couldbe a number of reasons for this observation. One interesting difference betweenthe Arab and the Asian countries is that there are significant differences in thelevels of human capital and the quality of human capital. These differencessuggest differences in the complementarities between human capital and FDI.Countries with high skill levels might attract foreign FDI. Our results might beconsistent with the skill-biased technical change literature. Figure 4 plots the
Table 7: The rate of returns on inward FDI measured in Asian countries
CountrySpecification 1i Specification 2i Specification 3ii
Averageln yit ¼ aþ αln kdit
þγln kfitþδln Lit þ "it
ln yit ¼ aþ α ln kditþγln kfit þ ρln hit
þδln Lit þ "iti
ln yit ¼ aþ αln kditþγln ðkf hÞitþδln Lit þ "it
China 7.17 6.39 6.04 6.53Korea 4.37 3.49 3.97 3.94Malaysia 1.42 1.28 1.20 1.30Thailand 1.74 1.46 1.57 1.59Averages 3.68 3.15 3.20 3.34
Notes: iThe rate of returns on FDI is γ � average YKf
� �; iiThe rate of returns on FDI is
γ � average YKf
� �þ γ � average Y
H
� �ΔYΔH
� �.
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0.000.050.100.150.200.250.300.350.40
Algeria
Egyp
t
Jord
an
Korea
Moro
cco
Tunisia
China
Malays
ia
Thailand
Thailand
Arab ave
rage
Asia ave
rage
Figure 2: Average estimated elasticity of FDI for the three specifications by GMM
0
1
2
3
4
5
6
7
Moro
cco
Tunisia
China
US
cons
tant
dol
lar,
200
0
Algeria
Egypt
Jord
anKore
a
Malays
ia
Thailand
Arab ave
rage
Asia ave
rage
Figure 3: Average rates of returns
0
2
4
6
8
10
12
Ave
rage
yea
rs o
f sch
oolin
g
Algeria
Jord
an
Mor
occo
Mala
ysia
Average
Median
Egypt
Tunisia
ChinaKor
ea
Thailan
d
Figure 4: Human capital
376 W. A. Razzak and E. M. Bentour
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levels of human capital, measured by average years of schooling, which areclearly higher in the Asian countries than the Arab countries. Figure 5 plots ameasure of the quality of human capital – a measure of cognitive skills is acountry score of standardized tests in mathematics and science published byTrends in Math and Science Study, TIMSS. The plot measures the Arab country’sscore relative to Korea’s.21 The Arab countries have a significantly lower qualityof human capital, i.e. lower cognitive skills. Figure 6 is a scatter plot of ourestimates of the rate of return in all countries and the levels of human capital.The plot shows a positive correlation.
FDIs are also qualitatively different across the Arab and Asian countries inour sample, which might explain the differences in returns. Tables 8 and 9report the allocation of FDI in different sectors. The data are descriptive andcannot be used in regression analysis because they are short. However, theyindicate that there are qualitative differences in FDI between the Arab and Asiancountries. These differences stem from differences in the degree of industrializa-tion. The Asian countries in our sample have manufacturing-related FDIs,
0Jordan Morocco TunisiaEgyptAlgeria
10
20
30
40
50
60
70
80
Figure 5: Quality of human capital relative to Korea’s score ¼ 100
21 A measure of cognitive skills as a proxy for the quality of human capital is found in Trendsin International Math and Science (TIMSS), which is an international student’s assessmentsurvey and reports country scores for students in 4th and 8th grades in more than 80 countries,every four years. In the first survey in 1995, the scores for Algeria, Egypt, Jordan, Morocco, andTunisia were 394.15, 420.40, 439, 372.36, and 439 respectively. In the last published survey in2007, these scores declined in all countries except Jordan, 381.75, 399.5, 454.5, 319, and 377respectively. While Korea’s score increased from 568 in 1995 to 575 in 2007, both Thailand’s andMalaysia’s scores declined from 505.5 and 462 in 1995 to 472.5 and 456 in 2007 respectively.
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whereas the Arab countries have more oil- and gas-related FDIs, and someservices. For Algeria, unspecified secondary investments include manufacturing,electricity, gas, and water. About one-third to two-thirds of total FDIs go intothese sectors and we speculate that most of it is in the gas sector because Algeriais a major gas producer. Telecommunications received a very large FDI in 2005.In Egypt most of the FDI flows goes into petroleum and other services, which ismostly telecommunications. In Morocco, FDI is concentrated in manufacturing,real estate, tourism, and services. Tunisia’s FDI is in the small oil and gas sector,manufacturing, and services. It is surprising that tourism did not receive asignificant amount of FDI in Tunisia. UNCTAD does not report similar data forJordan. A national website, www.jordaninvestment.com, reports that in 2004–2005, 75% of FDI inflows go into the service sector, where financial servicesmake up about 50% of these inflows. Less than 20% of the FDI goes to miningand quarrying, and only 6%t to manufacturing. We should also emphasize thatstate-owned enterprises, which were privatized during the restructuring, wererecorded as FDI flows. For the Asian countries, Table 9 shows that the bulk ofthe FDI is in manufacturing, with some significant FDI in services in SouthKorea. Efficiencies in manufacturing in China and Korea imply that less inputis needed to produce output. Thus, the ratio (Y/FDI) is genuinely higher in Chinaand Korea than the Arab countries.
0
1
2
3
4
5
6
7
0 2 4 6 8 10 12Human capital
Rat
es o
f ret
urn
Algeria
China
Korea
Asian average
Tunisia
Morocco ThailandMalaysia
Egypt
JordanArab average
Figure 6: Rate of return and Human capital
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Table 8: Shares of inward FDI flows by main sectors in percent (Arabic sample)
Algeria 2005 2006 2007 2008
Agriculture and hunting 0.8 0.0 0.0 0.0Unspecified secondary 28.9 67.4 66.0 50.3Unspecified tertiary 0.8 18.9 16.8 1.8Transport, storage and communications 66.5 2.4 2.2 0.2Hotels and restaurants 0.0 10.0 0.4 0.0Construction 3.0 1.3 14.6 47.8Total FDI 100.0 100.0 100.0 100.0
Egypt 2006 2007 2008 2009
Agriculture and hunting 0.2 0.7 0.6 2.4Petroleum 37.5 45.5 75.3 68.8Unspecified secondary 8.1 8.6 6.6 4.1Finance 17.7 12.3 3.4 7.9Other services 36.5 33.0 14.0 16.7Total FDI 100.0 100.0 100.0 100.0
Source for Algeria and Egypt: UNCTAD and International Trade Center: www.investmentmap.org
Morocco 2006 2007 2008 2009 2010
Agriculture and fishing 0.1 0.1 0.2 0.1 0.2Energy and mining 0.4 7.4 5.6 0.6 1.0Manufacturing industries 34.4 8.7 6.4 10.8 10.3Real estate 15.8 20.0 32.7 22.0 22.9Tourism 30.0 32.7 20.3 11.4 10.2Other services 18.9 30.7 34.7 55.0 55.1Unspecified 0.4 0.3 0.1 0.2 0.3Total FDI 100.0 100.0 100.0 100.0 100.0
Source: Office des changes du Maroc; www.oc.gov.ma
Tunisia 2006 2007 2008 2009 2010
Agriculture 0.3 0.4 0.6 0.7 0.1Energy 21.4 65.6 56.9 54.1 60.8Manufacturing industries 7.9 23.5 18.9 33.9 26.5Tourism and real estate 0.4 3.5 5.8 3.8 4.4Services and others 70.0 7.1 17.8 7.5 8.2Total FDI 100.0 100.0 100.0 100.0 100.0
Source: www.investintunisia.com
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Table 9: Shares of inward FDI flows by main sectors in percent (Asian sample)
China 2005 2006 2007 2008 2009
Agriculture, hunting, forestry, fishing, mining andquarrying
1.5 1.5 1.9 1.9 2.1
Manufacturing industries 58.6 57.7 54.7 54.0 51.9Business activities 13.1 18.7 31.4 30.2 29.8Other services 26.8 22.1 12.0 13.9 16.1Total FDI 100.0 100.0 100.0 100.0 100.0
Source: http://www.investmentmap.org/TimeSeries_Industry_fdi.aspx?prg¼1
Malaysia 2005 2006 2007 2008 2009
Agriculture and hunting 2.5 –1.7 24.0 0.8 –4.4Mining and quarrying 26.7 13.3 14.8 –8.9 84.7Manufacturing 44.8 20.5 37.4 52.1 –44.8Finance 13.4 54.3 24.2 53.2 80.9Other services 12.6 13.5 –0.4 2.9 –16.3Total FDI 100.0 100.0 100.0 100.0 100.0
Source: http://www.investmentmap.org/TimeSeries_Industry_fdi.aspx?prg¼1
Republic of Korea 2008 2009 2010
Services 71.6 66.1 48.4Machinery and equipment 21.8 26.2 40.1Manufacturing 3.9 6.2 10.7Others 2.7 1.4 0.9Total FDI 100.0 100.0 100.0
Source: http://www.investmentmap.org/TimeSeries_Industry_fdi.aspx?prg¼1
Thailand 2006 2007 2008
Agriculture and hunting, mining and quarrying 1.9 8.2 0.1Machinery and equipment 13.4 12.2 15.1Other manufacturing 25.4 24.0 63.6Business activities 22.9 14.9 13.8Other services and unspecified services 36.4 40.7 7.4Total FDI 100.0 100.0 100.0
Source: http://www.investmentmap.org/TimeSeries_Industry_fdi.aspx?prg¼1
Notes: There are negative FDIs in Malaysia. The flow of FDI consists of three components: equitycapital, reinvested earning (the share of the foreign investors in the outstanding revenues), andIntra-foreign company loans (between the foreign subsidiaries and its holding company). Incase one or more of the three components have a large and dominating value, the grand total ofFDI will be negative. These were sector data of shares of FDI flows. These are not stocks.
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Finally, we check the robustness and the sensitivity of the results to a differentspecification of the production function, namely the CES, and to somemeasurementissues. This functional form, on the other hand, does not require the assumptions ofperfect competition and profit maximization. Kmenta (1967) shows that estimatingthese flexible forms is not really difficult (at least for two factor inputs) except thatthey require a large number of observations because there are more parameters toestimate than in the Cobb-Douglas.22
The CES production function could be written in different ways dependingon the number of inputs. In our case, we have up to four inputs: physicalcapital, FDI capital, labor, and human capital. General n-input CES function,Blackorby and Russel (1989) is given by:
Y ¼ ’Xn
i¼1δi x
�ρi
� ��νρ ½5�
WithPni¼1
δi ¼ 1;
Where n is the number of inputs and the x’s are the inputs. In our case, however,we can only be concerned with two inputs, physical capital and FDI capital, whichmight be substitutable. Estimation of the CES production function requires a largesample, which we do not have. We nested a CES in the Cobb-Douglas function:
Y ¼ A½ðπ ðKρdÞ þ ð1� πÞðKρ
f Þ�ν=ρLβ ½6�
Normalizing by labor and following Kmenta (1967), log-linear approximation ofthe CES is:
lnY ¼ logAþ ν π ln Kd þ νð1� πÞKf þ ρν2πð1� πÞðlnKd � lnKf Þ2 þ β ln L ½7�
We estimate three specifications of the function for all countries, but to conserveon the degrees of freedom, we do not allow the coefficients to vary acrosscountries. The value of ν ¼ 1. We estimate the panel over the same sample.Lowercase denotes per-capita measures.
ln yit ¼ aþ π ln kdit þ ð1� πÞ ln kfit þ 12πð1� πÞρðln kdit � ln kfitÞ2
þ δ ln Lit þ "8it½8�
ln yit ¼ aþ π ln kdit þ ð1� πÞ ln kfit þ 12πð1� πÞρðln kdit � ln kfitÞ2
þ δ ln Lit þ ’ ln hit þ "9it½9�
22 Razzak (2010) estimated a CES production function using cross sectional data of thousandsof observations for firms in Egypt, Lebanon, Morocco and Turkey.
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ln yit ¼ aþ π ln kdit þ ð1� πÞ ln ðkfit:hitÞ þ 12πð1� πÞρðln kdit � ln ðkfit:hitÞÞ2
þ δ ln Lit þ "10it
½10�We estimate the above equations for the named Arab and Asian countries andreport the results in Table 10. The main results are consistent with the previous
Table 10: CES estimated elasticity
Arab countries Asian countries
First specification
ln yit ¼ aþ π ln kdit þ ð1� πÞ ln kfit þ 12πð1� πÞρðln kdit � ln kfitÞ2 þ δln Lit þ "1it
EGLS GMM GMM
Coefficient p value Coefficient p value Coefficient p value
π 0.558 0.000 0.582 0.000 0.692 0.000ρ –0.302 0.000 –0.338 0.103 –0.326 0.000δ –0.081 0.151 0.091 0.000 –0.457 0.000σ 1.432 1.510 1.483
Second specification
ln yit ¼ aþ π ln kdit þ ð1� πÞ ln kfit þ 12πð1� πÞρðln kdit � ln kfitÞ2 þ δln Lit þ ’lnhit þ "2it
EGLS GMM GMM
Coefficient p value Coefficient p value Coefficient p value
π 0.556 0.000 0.580 0.000 0.694 0.000ρ –0.316 0.000 –0.330 0.000 –0.324 0.000δ –0.011 0.847 0.079 0.165 –0.461 0.000’ 0.556 0.000 0.580 0.000 0.694 0.000σ 1.461 1.493 1.480
Third specification
ln yit ¼ aþ π ln kdit þ ð1� πÞ ln ðkfit :hitÞ þ 12πð1� πÞρðln kdit � ln ðkfit :hitÞÞ2 þ δln Lit þ "3it
EGLS GMM GMM
Coefficient p value Coefficient p value Coefficient p value
π 0.715 0.000 0.740 0.000 0.843 0.000ρ –0.323 0.000 –0.325 0.000 –0.393 0.000δ –0.212 0.000 –0.104 0.109 –0.547 0.000σ 1.478 1.481 1.649
Note: T is 1980–2009, and N is 5.
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findings. First, the estimated value of ρ, which is closer to zero than one, impliesthat the CES function approaches a Cobb-Douglas. Hence, the elasticity ofsubstitution between the stock of FDI and domestic capital stock approachesunity. The average GMM estimate of the elasticity of FDI across the threedifferent specifications is about 0.36, for the Asian countries is 0.26. Both theelasticity estimates and the rates of returns are slightly larger in magnitude thanthose of the Cobb-Douglas function.
We also estimated all the equations in this article using real GDP in PPP-adjusted dollars instead of constant dollars. We also examined different mea-sures of capital stock and FDI stock data using the Perpetual Inventory Method.Regarding PPP, the results are qualitatively similar to what we reported.However, there seems sensitivity to how the FDI stock is measured, which istypical.
3 Conclusions
For many developing countries, FDI is a method to finance development; theywelcome FDIs because of their favorable budgetary implications. It is oftenperceived as a source of funds for development. But most importantly, there issome evidence in the literature that FDI could enhance the overall economics,employment, and wage growth rates. To attract FDI, Egypt, Jordan, Morocco,and Tunisia in particular have been revising their commercial, trade, patent andother relevant laws, and pursuing micro- and macroeconomic policies friendly toFDI. Consequently, they have attracted more FDI in recent decades. Europeanagencies, which evaluate the business climate, rate some of these countries asgood places for investment.
This article estimates the rate of returns on inward FDI in the Arab countries,Algeria, Egypt, Jordan, Morocco, and Tunisia, and compares the results toChina, South Korea, Malaysia, and Thailand. Estimates of the rate of returnson FDI comprise important information for policymakers. However, the calcula-tion of the rate of returns on FDI depends crucially on the estimated elasticity ofFDI with respect to real output. In this article we discussed the problemsinvolved in the estimation of this parameter. We presented some specificationand estimation problems (such as small sample problems, error-in-measure-ment, endogeneity, omitted variable, nonlinearity, etc. that affect the estimates)were confronted. Given the uncertainty about the estimated elasticity arising forsuch problems, we provided remedies and generated a number of estimates(thick modeling) instead of one estimate for γ and then computed an average
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rate of returns, which has a smaller variance, therefore more reliable than asingle estimate.
Our calculations show that the overall cross-country and cross-estimatorsaverage elasticity for the five Arab countries is approximately 0.25%. Thus, a 1%increase in FDI stock increases the level of GDP by about one-quarter of apercent. The rate of returns, which reflects the estimated elasticity, is approxi-mately $1.30 for every dollar increase in FDI stock.
We also found that complementarities between FDI and human capital areevident in the data. There is evidence that Algeria and Egypt have relativelysizable investments, which includes higher shares of their FDI in skill-intensivegoods and services sectors, such as telecommunications, water desalination,solar energy, gas, etc., where the stock of human capital is large. There is alsoevidence that distributional effects exist where the rate of returns increases atthe upper end of the distribution.
The average rate of returns in Asia, which corresponds to the estimatedelasticity, is $3.34 for every dollar increase in FDI. The Asian countries, espe-cially China and South Korea, have significantly higher rates of returns to FDIthan the Arab countries in our sample.
For policy evaluation, the costs andbenefits from inward FDI ought to be clearlycounted. The questions that are typically asked by evaluators and require evidenceare those related to thegrowth effect of FDI, the employment andwageeffects of FDI,the productivity effects of FDI, and whether there might be negative unemploymentconsequences resulting from business cycle downturns in the economies of theinvestor countries. Our findings ought to be useful for policymakers. They suggestthat governments, which are interested in increasing inward FDIs, should aim forpolicies to increase not only the stock of human capital, but also its quality. Thiswould, in turn, give foreign investors incentives to invest in the production of skill-intensive goods, which increases returns to the economy.
Finally, we think that there might be alternative explanations of why returnsto FDI are higher in Asian countries. It may be not only related to the greaterendowment of other complementary factors and returns to the scale argument,but also – which is relevant from a policy point of view – to the insufficienteconomic reforms implemented in Arab countries compared to Asian countries.Within the empirical framework set up in this article, it is impossible to contrastthese alternative explanations, but it could be the aim of future research to setup a quasi-experimental framework to test this.
Acknowledgments: We would like to thank Ahmed AlKawaz, Belkacem Laabas,Riadh Ben Jelili, Arthur Grimes, Steven Stillman, and two anonymous refereesfor their valuable comments.
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