Small Bus Econ (2015) 45:595–611 DOI 10.1007/s11187-015-9652-2 Firm size and spillover effects from foreign direct investment: the case of Romania Karolien Lenaerts • Bruno Merlevede Accepted: 23 February 2015 / Published online: 8 March 2015 Ó Springer Science+Business Media New York 2015 Abstract This paper introduces firm size in the analysis of the productivity spillovers of foreign direct investment. Our analysis of a panel of Romanian firms reveals two main findings: only medium-sized foreign firms generate spillovers, and domestic firms’ size is of limited importance to identify which firms absorb spillovers. To explain these findings, we show that large foreign firms are less embedded in the domestic economy because they are more likely to bring their own suppliers, import intermediate inputs and export their output. Smaller foreign firms lack the scale to transmit spillovers to domestic firms. Whereas foreign firms’ size adequately proxies for these spillover mechanisms, domestic firms’ size has an unclear relationship with the different mechanisms. Keywords Foreign direct investment Spillovers Firm size Supply chain JEL Classifications F2 D24 L23 L25 L26 1 Introduction Electronic supplementary material The online version of this article (doi:10.1007/s11187-015-9652-2) contains supplementary material, which is available to authorized users. K. Lenaerts (&) Fund for Scientific Research (FWO-Vlaanderen), Ghent University, Tweekerkenstraat 2, 9000 Ghent, Belgium e-mail: [email protected] K. Lenaerts B. Merlevede Department of General Economics, Faculty of Economics and Business Administration, Ghent University, Tweekerkenstraat 2, 9000 Ghent, Belgium e-mail: [email protected] In many countries, encouraging foreign direct investment (FDI) is one of the cornerstones of industrial policy. Policy-makers are eager to attract multinational enterprises (MNEs), not only because MNEs bring resources and create jobs, but also because these firms may transfer technology and knowledge to domestic firms. These technology transfers are indirect or spillover effects of FDI, which are expected to improve the productivity of domestic firms. Since total factor productivity (TFP) is widely recognized as a key driver of a country’s macroeconomic growth and competitiveness, FDI spillover effects are of great importance.1 B. Merlevede IWH Halle, Halle, Germany B. Merlevede HUBrussel, Brussel, Belgium 1 Foreign presence also has a net positive impact on firm survival (Burke et al. 2008). 123 596 There is an extensive literature that relates domestic firms’ productivity to the presence of foreign firms. The standard approach in this literature is to add spillover variables as additional inputs explaining TFP in a production function framework. Intra-industry or horizontal spillovers emerge between MNEs and domestic firms in a similar stage of the supply chain. Inter-industry or vertical spillovers arise between MNEs and domestic firms upstream or downstream of the MNE in the supply chain. The literature distinguishes vertical spillovers that occur between MNEs and their domestic suppliers (backward spillovers) from those that arise between MNEs and their downstream clients (forward effects). The first studies on FDI spillovers focused solely on horizontal spillovers (Caves 1974). After Javorcik (2004), empirical work on vertical effects has soared, recognizing vertical linkages as a more likely channel for positive productivity spillovers. Several literature surveys have concluded that positive spillovers mainly originate from backward linkages whereas empirical evidence on horizontal and forward effects is much more mixed (Crespo and Fontoura 2007; and Havranek and Irsova 2011, 2013). Researchers therefore increasingly focus on the identification of the determinants, particularly at the firm-level, that facilitate positive spillover effects. Meyer and Sinani (2009) and Havranek and Irsova (2013), for example, indicate that the sign and magnitude of (horizontal) spillover effects systematically depend on the characteristics of the domestic economy and the foreign investor. This paper considers firm size, both of foreign and domestic firms, as a determinant of FDI spillovers. The size of domestic firms has been examined in a few studies in the spillover literature, for example by Sinani and Meyer (2004), but generally this is done only as a robustness test. The role of the size of foreign firms has—to the best of our knowledge—not yet been explored. This may result from the implicit assumption that MNEs are large and that small firms do not have the scale to transmit spillovers. Many studies in the literature also lack data on smaller foreign firms because often they rely on datasets where a cutoff is applied for firms to be included. This is not the case in our large firm-level dataset for Romania, and we do find a substantial number of smaller foreign firms. We model FDI spillovers as a function of both foreign and domestic firms’ size to study whether firm size serves as a proxy for the underlying spillover mechanisms 123 K. Lenaerts, B. Merlevede that explain which foreign firms generate spillovers and which domestic firms benefit from these effects. Our analysis reveals two main findings: (1) micro, small and, more surprisingly, large foreign firms do not generate spillover effects, only medium-sized foreign firms do; and (2) domestic firms’ size seems unimportant in explaining spillovers. We find negative forward and positive horizontal and backward effects, the latter being the most robust positive spillovers in the literature (Havranek and Irsova 2011). We provide evidence for two mechanisms that may account for the finding that large foreign firms do not generate positive backward spillovers. First, we show that large foreign firms largely import their intermediate inputs instead of sourcing them locally. Second, we provide support for the hypothesis that large foreign investors ‘‘bring their own supply chain’’ and therefore do not generate spillovers along the supply chain. The latter result also accounts for the negative forward effects we find: although medium-sized firms source locally, they likely produce more advanced inputs for MNEs that are too difficult to handle for domestic firms. The absence of horizontal spillovers originating from large foreign firms could result from the fact that these firms typically are exporters that are less involved in the domestic market. We show that larger foreign firms in Romania are indeed more likely to show higher export intensities. Our second main result is that domestic firms’ size is of more limited importance. This can be explained by the fact that domestic firm size appears to correlate with different characteristics and mechanisms that have been identified as determinants of spillovers. However, these mechanisms may result both in positive or negative spillovers. Domestic firm size is therefore an inferior proxy to disentangle the underlying spillover mechanisms. In this regard, we show that absorptive capability varies within rather than between size categories. Whereas size is unimportant, absorptive capacity does affect spillovers to domestic firms. The remainder of this paper is organized as follows. Section 2 presents related literature and shows more details on the size distribution of foreign firms in our sample. Section 3 discusses the data and the measurement of spillover variables. Section 4 deals with the empirical approach. Section 5 presents our findings, and in Sect. 6, we provide an interpretation of these results. Finally, Sect. 7 concludes. Firm size and spillover effects from foreign direct investment 2 Foreign firms, size and FDI spillovers Although many studies cover FDI spillover effects, only a few contributions focus on the role of firm size. Theoretical work on the relation between domestic firms’ size and spillovers points to several possibilities. Aitken and Harrison (1999) indicate that small firms are less able to cope with the ‘market stealing’ effect of MNEs, which is confirmed by their finding that horizontal spillovers are negative only for firms with less than 50 employees. Sinani and Meyer (2004) further suggest that large firms are more capable of exploiting opportunities offered by foreign technology due to scale effects. Large firms also have better access to finance to invest in capturing spillovers. Alfaro et al. (2010) find a positive relation between the development of local financial markets, access to finance and spillover effects. On the other hand, there also exists a considerable literature pointing to small- and mediumsized firms as major sources of growth and innovation. Smaller firms tend to be less bureaucratic and are likely to seize opportunities that larger firms conducting their own R&D and innovation disregard (Acs and Audretsch 1990). Acs et al. (1994) show that large firms are more adept at exploiting knowledge created within the firm, whereas smaller firms have a comparative advantage at adopting outside technology. For a sample of Estonian companies, Sinani and Meyer (2004) detect the largest horizontal spillovers for small firms while no significant effects are found for large firms. Domestic firm size may further determine the likelihood of interaction with foreign firms, i.e., the rationale for vertical spillover effects. A rising number of studies point to entrepreneurship capital as an important determinant of economic growth (Audretsch and Keilbach 2004). In these studies, entrepreneurship manifests itself mainly through the arrival of new small firms. Foreign firms’ size has received, to the best of our knowledge, no attention in the spillover literature. This reflects the literature’s implicit assumption that MNEs are big. When we plot the size distribution of foreign manufacturing firms in Romania in the left panel of Fig. 1, we do observe a substantial number of smaller foreign firms. A comparison of this size distribution with that of domestic firms, portrayed in the right panel, reveals that the distribution for foreign firms does have a fatter tail of large firms. In the remainder of the paper, we use four size classes 597 following the EU’s classification of firms as micro (less than 10 employees), small (between 10 and 50 employees), medium (between 50 and 250 employees) and large firms (more than 250 employees).2 Table 1 presents some statistics for different size classes of foreign firms in Romania. Foreign firms with more than 250 employees account for about 8 % of the total number of foreign firms, but their share in total value added, turnover, capital and employment (of foreign firms) is between 60 and 65 %. Medium-sized firms account for about 22 % of the number of firms and for another 25 % share of value added, turnover, capital and employment. Smaller firms are large in numbers, but account for a very small share in value added, turnover, capital and employment. 3 Data and spillover measurement We use a Romanian firm-level panel dataset to analyze FDI spillover effects from MNEs in manufacturing and services industries on Romanian manufacturing firms. Our data span the period 1996–2005, and there is no restriction on firm size. Data are trimmed for outliers by removing the top and the bottom percentiles of the annual growth rates of real operating revenues, labor (L), real capital (K) and real material inputs (M). Data are drawn from the Amadeus database issued by Bureau Van Dijk Electronic Publishing. Amadeus holds information on the ownership and financials on public and private companies across Europe (Bureau Van Dijk 2011). Multiple DVDs were used to construct our dataset to get a full overview of financials and ownership through time.3 Nominal data are deflated with prices at NACE 2-digit level. Price data were extracted from the Statistical Yearbook of the Romanian Statistical Office (RSO 2 The EU criteria use employment and turnover thresholds, but we focus on employment only. The European Commission defines size classes using the following ceilings: micro firms have less than 10 employees and a turnover or balance sheet total of maximum 2 million Euro; small firms have less than 50 employees and a turnover or balance sheet total of maximum 10 million Euro; medium-sized firms have less than 250 employees and a turnover or balance sheet total of maximum 50/43 million Euro (http://ec.europa.eu/enterprise/policies/sme/facts-figuresanalysis/sme-definition/index_en.htm). 3 A single issue of the database is a snapshot of the ownership information and firms that exit are quickly dropped from the database. 123 598 Domestic Firms .6 Foreign Firms 0 .2 .4 Fig. 1 Foreign and domestic firm size distributions in year 2005 (firms employing more than 250 employees are included in the 250 employee category) K. Lenaerts, B. Merlevede 0 50 100 150 200 250 0 50 100 150 200 250 Number of Employees in 2005 Table 1 Characteristics of foreign firms across size categories (manufacturing industries, year 2005) Employment size category # Firms (%) Share in value added (%) Share in employment (%) Share in capital (%) Share in turnover (%) Micro firms 1–5 employees 28.7 1.3 0.7 1.9 1.1 5–10 employees Small firms 11.8 1.1 0.9 1.2 1.6 10–20 employees 12.3 2.2 1.8 1.7 2.2 20–50 employees 17.0 6.3 5.6 5.3 7.4 50–100 employees 11.1 8.6 7.9 7.0 8.3 100–250 employees 10.8 17.4 17.0 18.3 15.2 Medium firms Large firms 250–1000 employees 6.6 37.0 29.8 39.2 37.6 [1000 employees 1.6 26.1 36.2 25.5 26.5 Percentages are expressed as shares in total number of foreign firms in manufacturing, in total foreign value added 2005) and the Industrial Database for Eastern Europe from the Vienna Institute for International Economic Studies (WIIW 2007). To construct real output (Y), operating revenues are deflated with producer price indices. Labor equals the number of employees. Real capital is tangible fixed assets deflated by the average of the following industry deflators: machinery and equipment (NACE 2-digit 29), office machinery and computing (30), electrical machinery and apparatus 123 (31), motor vehicles, trailers and semitrailers (34) and other transport equipment (35). Real material inputs are obtained by deflating material inputs with an intermediate input deflator, constructed on the basis of input–output tables (IO-tables). A time-series of IOtables in a Romanian industry classification (approximately NACE 3-digit) was obtained from the RSO, which allows us to construct time-varying input–output coefficients. The subset of Romanian Firm size and spillover effects from foreign direct investment 599 firms in the Amadeus database is known for its excellent coverage (see Merlevede et al. 2014). Summary statistics for the domestic and foreign firms across size categories are provided in Table 2. The stylized facts commonly found in the literature also hold for our data: foreign firms are more productive and larger in terms of output, capital, employment and intermediates. In terms of total factor productivity (TFP), larger firms do not seem necessarily more productive than smaller firms. To calculate horizontal spillover variables, the empirical literature applies a definition that dates back to Caves (1974). The horizontal spillover variable HRjt captures the degree of foreign presence in industry j at time t as: P i2j Fit Yit HRjt ¼ P ð1Þ i2j Yit latter prefer to buy inputs from more productive domestic firms.5 The forward spillover variable FWjt is defined as: X FWjt ¼ djlt HRlt ð3Þ where Yit is the output produced by firm i in year t. HRjt is industry j’s share of output produced by foreign firms. Foreign firms are identified by Fit which is the share of foreign participation in firm i in year t. To be considered as ‘‘foreign,’’ a foreign participation by a single investor of at least 10 % is required.4 HRjt is then combined with input–output coefficients obtained from input–output tables to calculate the vertical spillover variables. We define the backward spillover variable BKjt as in Lenaerts and Merlevede (2012): X BKjt ¼ cjkt HRkt ð2Þ k cjkt is the proportion of industry j’s output supplied to sourcing industry k at time t. The cs are calculated from time-varying IO-tables for intermediate consumption. Backward spillovers capture that domestic firms supply intermediates to foreign firms. Since firms cannot easily nor quickly switch industries to buy inputs, this approach avoids potential endogeneity by using the share of industry output sold to downstream domestic markets k with some level of foreign presence HRkt. Employing the share of firm output sold to MNEs causes endogeneity problems if the l where the IO-tables reveal the proportion djlt of industry j’s inputs purchased from upstream industries l. HRjt, BKjt and FWjt are related to domestic firms’ TFP to infer the direction, magnitude and significance of spillovers. We introduce foreign firm size in Eq. (4) to decompose the traditional horizontal spillover variable in (1) according to different size categories using the EU definition above. P P mic sma Yit i2j Fit Yit i2j Fit P P HRjt ¼ þ Yit Yit P i2j med P i2j lar Yit i2j Fit i2j Fit Yit P þ þ P ð4Þ Y i2j it i2j Yit In (4), e.g., Fmic it equals the share of foreign participation in firm i in year t conditional on firm i employing less than 10 employees. We denote the different components on the right-hand side of (4) as HRmic jt , med sma HRsma and HRlar jt , HRjt jt . Then HRjt , for example, is industry j’s share of year t output that is produced by small foreign firms. In our analysis, we use these different components, calculated as in (5), without restricting their coefficients to be equal. The definitions for BKsize and FWsize follow from Eqs. (2) and jt jt (3): P size i2j Fit Yit size P HRjt ¼ ð5Þ i2j Yit BKsize jt ¼ X cjkt HRsize kt ð6Þ djlt HRsize lt ð7Þ k FWsize jt ¼ X l Table 3 shows summary statistics for all spillover variables, and Fig. 2 illustrates the evolution of the horizontal spillover variables. Table 3 and Fig. 2 indicate that large foreign firms account for the largest 4 We use the definition formulated in the OECD Glossary of foreign direct investment (http://www.oecd.org/daf/inv/ investment-policy/fdibenchmarkdefinition). In the supplementary materials, we show that our results still hold if we apply a more stringent definition of at least 50 % foreign participation. 5 In the supplementary materials, we show that results are not qualitatively affected by applying the slightly different Javorcik (2004) definition. 123 600 Table 2 Summary statistics for domestic and foreign firms across four size categories K. Lenaerts, B. Merlevede Domestic firms Obs. Foreign firms Mean SD Obs. Mean SD Outputa Micro firms Small firms Medium firms Large firms 211,516 225.6 1701.7 19,048 768.4 5004.7 62,858 17,137 1352.5 5192.0 5074.6 12,593.5 15,529 9484 2672.8 9471.2 8592.0 30,561.0 7252 28,126.7 108,733.2 4020 51,170.2 98,067.9 Capitala Micro firms 226,993 42.6 286.7 21,107 194.5 1082.1 Small firms 64,074 383.7 2611.5 16,071 894.9 6247.1 Medium firms 17,319 2114.0 6471.8 9683 4350.6 18,767.0 7273 14,210.3 37,399.2 4045 22,156.6 49,299.9 Large firms Intermediatesa Micro firms 214,315 158.7 1476.5 19,807 511.5 4469.5 Small firms 63,114 936.8 4382.1 15,703 1708.0 6700.7 Medium firms 17,176 3227.0 9939.6 9562 5447.9 22,495.3 7265 16,658.4 91,448.6 4031 30,674.8 67,704.6 Large firms Employees a Thousands of local currency. Two measures of firms’ total factor productivity (TFP) are considered: a measure based on the Olley and Pakes (1996) methodology (OP) and a measure based on the Ackerberg et al. (2008) methodology (ACF). More details on the OP and ACF estimation procedures and our motivation to use these methodologies are provided in Sect. 4 below Micro firms 183,804 3.7 3.1 16,970 4.5 3.6 Small firms 60,917 21.1 15.0 15,023 24.2 17.2 Medium firms Large firms 16,902 7244 106.2 781.4 78.4 878.3 9311 3992 114.9 870.5 78.2 1279.0 OP TFP Micro firms 161,966 2.13 1.02 15,420 2.19 1.27 Small firms 59,656 2.11 1.02 14,582 2.27 1.10 Medium firms 16,708 2.31 1.08 9184 2.73 1.19 7214 2.17 0.97 3961 2.42 1.16 Large firms ACF TFP Micro firms 114,038 5.79 1.50 10,296 6.03 1.69 Small firms 45,040 5.78 1.38 11,133 6.10 1.37 Medium firms 13,452 5.81 1.23 7452 6.09 1.11 6356 5.89 1.15 3416 6.04 1.24 Large firms part of the spillover variable. In terms of the time dimension, we see a clear upward trend of foreign firms’ share in total industry output in the different size classes, which is more pronounced for medium and large firms. The time dimension of the vertical spillover variables shows a similar evolution (not reported here). 4 Empirical approach Our empirical strategy to assess whether foreign and domestic firms’ size function as determinants of FDI 123 spillover effects involves introducing spillover variables in a production function framework. We use the ‘‘best practice’’ approach of Havranek and Irsova (2011) which entails using firm-level data, accounting for the endogeneity of input demand in the estimation of TFP, estimating the regression in first-differences, and including a rigorous set of industry controls. We start from a Cobb-Douglas production function to obtain an unbiased TFP estimate and then relate domestic firms’ TFP to horizontal and vertical spillover variables. The estimation of TFP is complicated by endogeneity of inputs because the input choices of firms are based on their productivity (Griliches and Mairesse Firm size and spillover effects from foreign direct investment 601 Table 3 Summary statistics for the horizontal and vertical spillover variables across four size categories proxy6 while LP chooses material inputs, arguing that investment is not a good proxy as it is lumpy and does not respond smoothly to productivity shocks. Ackerberg et al. (2008) (ACF) developed an alternative semi-parametric procedure to tackle potential collinearity issues in OP and LP. As the discussion on the most appropriate estimation method is still ongoing, we use both OP and ACF TFP. OP TFP is based on output, and ACF TFP on value added. The correlation between both measures is 0.65. TFP estimates are obtained from production functions estimated by NACE 2-digit manufacturing industry. In a next step, firm-level TFP of firm i in industry j at time t is related to lagged spillover variables (FDIjt-1) and a set of industry controls (Zjt-1) as shown in Eq. (8). Spillover variables are lagged because the entry of foreign firms is not expected to immediately affect domestic firms’ productivity. TFPijt ¼ ai þ u1 f FDIjt1 þ u2 Zjt1 þ nijt ð8Þ Obs. Mean SD Min Max Horizontal spillover All firms 580 0.258 0.193 0.000 0.880 Micro firms 580 0.022 0.078 0.000 0.875 Small firms 580 0.039 0.046 0.000 0.324 Medium firms 580 0.063 0.081 0.000 0.552 Large firms 580 0.134 0.160 0.000 0.862 Backward spillover All firms 580 0.207 0.078 0.018 0.552 Micro firms 580 0.028 0.022 0.001 0.278 Small firms 580 0.047 0.029 0.003 0.370 Medium firms 580 0.054 0.033 0.003 0.284 Large firms 580 0.078 0.055 0.000 0.441 Forward spillover All firms 580 0.211 0.086 0.019 0.570 Micro firms Small firms 580 580 0.019 0.043 0.016 0.020 0.002 0.007 0.222 0.162 Medium firms 580 0.054 0.035 0.003 0.232 Large firms 580 0.094 0.064 0.006 0.409 Equation (8) is first-differenced, and then, region (ar), industry (aj) and time (at) dummies are added, which results in Eq. (9). Using first-differences and subsequently adding these dummy variables is introduced by Haskel et al. (2007). Taking first-differences eliminates fixed-effects and other time-invariant factors. Region, industry and time dummies are introduced to capture unobserved factors that drive TFP growth.7 This specification is estimated for firms that are domestic throughout the sample period. 0 0 DTFPijt ¼ u1 Df FDIjt1 þ u2 Zjt1 þ d1 ageit þ d2 sizeit1 þ ar þ aj þ at þ eijrt ð9Þ Zjt-1 includes a Herfindahl index of industry concentration, an index for downstream demand,8 an index of import competition and an indicator of export Fig. 2 Box plots of horizontal spillover variables for four size categories (NACE 3-digit industries) 1995). This implies that the estimation of CobbDouglas production functions using OLS or fixedeffects results in biased estimates of factor shares and productivity. Several authors have therefore proposed alternative estimation methods that yield an unbiased TFP estimate. The semi-parametric approaches pioneered by Olley and Pakes (1996) (OP) and Levinsohn and Petrin (2003) (LP) introduce a proxy to handle the endogeneity bias. OP use investment as a 6 We follow Amiti and Konings (2007) to calculate investment from our data. 7 Introducing region and industry dummies is particularly important to our context. During the sample period, Romania is going through a transformation process because the country’s industrial structure was distorted due to communist preferences. 8 Downstream foreign entry could increase demand for intermediate products and result in scale economies. To separate this effect, the regression includes demand for intermediates calcuP lated following Javorcik (2004) as demandjt ¼ k ajk Ykt with ajk the IO-matrix coefficient indicating that in order to produce one unit of good k, ajk units of good j are needed. Ykt stands for industry k output deflated by an industry-specific deflator. 123 602 intensity. We further include firm age and the lagged level of firm size (measured by total assets) as controls. Standard errors (SE) are clustered at the industry-year level because the spillover variables are defined at the industry-level while estimation is performed at the firm-level (Moulton, 1990). Equation (9) is estimated by OLS for domestic manufacturing firms. 5 Results Given the substantial number of smaller foreign investors in Romania, we investigate whether foreign firms of different size categories generate similar spillovers. To do so, we use definitions (5)–(7) and introduce the subcomponents of the aggregate spillover variables separately in the estimation of Eq. (9). Table 4 presents results. We consider spillovers on all domestic firms (columns 1 and 6) and on four size categories of domestic firms (columns 2–5 and 7–10) and use both OP and ACF TFP as dependent variables (left/right panel). The main result in Table 4 is that a single foreign firm size class is the primary driver of spillovers. Surprisingly, medium-sized foreign firms that employ between 50 and 250 employees are found to be the main source of spillover effects (more specifically, positive horizontal and backward spillovers and negative forward spillovers). Micro, small and large foreign firms do not seem to generate spillovers. There is some heterogeneity in the effects across domestic firm size categories with micro and small firms benefiting from positive horizontal spillovers, whereas larger domestic firms do not. But taking into account SE, the coefficients are not statistically different from one another. This raises two issues to address: (1) why do only medium-sized foreign firms transmit spillovers; and (2) why does domestic firm size have such a negligible impact on spillovers? 6 Interpretation of results 6.1 Why large and small foreign firms do not generate spillover effects Notwithstanding that micro and small foreign firms on average are more productive than their domestic 123 K. Lenaerts, B. Merlevede counterparts (see Table 2), it is perhaps less surprising that they do not generate spillovers. Smaller MNEs simply lack the scale to transmit spillover effects. Vacek (2010) confirms that only larger foreign firms have a sufficiently large scale to generate spillovers.9 The more surprising result in Table 4, however, is that we find little to no evidence of (positive backward) spillovers from large foreign firms. We first refute an obvious candidate rationale to account for this result and then suggest other mechanisms for which we provide some empirical evidence. As the prime rationale for spillover effects is the technological superiority of foreign firms, one may argue that foreign firms’ size is related to technological superiority and that medium-sized foreign firms outperform other foreign firms in this respect. Figure 3 plots the distribution of the level of OP TFP for different size categories of foreign firms in 2005. As is clear from the Figure, the distribution for medium-sized foreign firms does certainly not stand out and there is considerable heterogeneity around the mean. The correlation between log OP (ACF) TFP and the log number of employees is -0.10 (-0.004) for the sample of foreign firms. In Table 5, we estimate the technical superiority of foreign firms for different size classes using a matching approach.10 In all size categories, foreign firms outperform local firms for both TFP measures. However, the TFP premium of medium-sized foreign firms is not larger than that of small and large foreign firms. The relative level of technological superiority across size classes therefore is not driving our finding that only medium-sized foreign firms transmit spillover effects.11 These results are also important from another perspective. In their model, Helpman et al. (2004) show that only the most 9 We find further support in the BEEPS 2005 questionnaire (cf. infra). Of the 33 small foreign firms interviewed in Romania, 30 answered yes to the question whether they operate locally, but only 16 answered yes to the question whether they operate nationally. 10 Within industry-year-size categories, foreign firms are matched to a domestic twin firm that shares characteristics with the foreign firm. The following variables are used to estimate the propensity score: lagged TFP level, lagged first-differenced TFP, lagged log of the number of employees and its square, lagged log of capital per worker and its interaction with age, age and age squared. Arnold and Javorcik (2009) provide a detailed analysis of the foreign TFP premium. 11 This does not preclude a role for technological superiority of foreign firms (Lenaerts and Merlevede, 2014). 0.056 0.086 42,847 [0.554] -0.110 [0.906] -3.239*** [1.158] 0.585 [2.163] -2.044 [0.619] 0.364 [0.787] 2.002** [1.387] 1.150 [1.693] 0.307 [0.222] -0.087 [0.488] 1.147** [0.576] 0.197 [1.207] 0.412 10–50 0.101 11,161 [0.537] -0.123 [0.905] -3.237*** [1.009] 0.855 [2.301] -0.936 [0.518] 0.311 [0.798] 2.691*** [1.125] 1.219 [1.432] -0.794 [0.210] -0.053 [0.502] 0.713 [0.459] 0.186 [1.173] -0.591 50–250 0.137 5234 [0.434] -0.147 [0.758] -2.187*** [0.923] -0.954 [1.969] 0.131 [0.397] 0.290 [0.549] 1.976*** [0.469] 1.176** [0.999] -0.601 [0.153] -0.076 [0.332] 0.620* [0.463] 0.508 [0.987] -0.324 [250 0.077 120,763 [1.462] 0.053 [1.897] -7.095*** [3.055] 2.425 [5.676] -0.902 [1.676] 1.300 [2.229] 6.916*** [3.361] 2.507 [3.391] -0.616 [0.573] -0.053 [1.059] 3.068*** [1.443] 0.752 [3.156] -0.107 0.086 74,783 [1.650] 0.332 [1.923] -7.235*** [3.117] 2.149 [6.079] -0.959 [1.776] 1.509 [2.337] 6.761*** [4.396] 1.695 [3.584] -0.529 [0.595] -0.082 [1.076] 3.349*** [1.542] 1.095 [3.323] 0.124 \10 0.108 32,262 [1.417] -0.466 [1.882] -7.345*** [3.094] 2.469 [5.473] 1.040 [1.828] 1.276 [2.666] 7.080*** [4.020] 3.998 [3.600] -0.194 [0.622] 0.218 [1.107] 2.961*** [1.555] 0.261 [3.104] -0.611 10–50 0.115 9081 [1.044] -0.245 [1.959] -6.275*** [2.554] 3.637 [5.179] -3.067 [1.345] 0.665 [2.703] 8.340*** [2.684] 2.254 [2.959] -1.822 [0.573] -0.242 [1.127] 1.724 [1.182] 0.653 [3.021] -1.723 50–250 0.105 4637 [1.034] -0.472 [1.619] -2.472 [2.980] -2.762 [4.936] -2.097 [1.158] 0.123 [1.498] 3.780** [1.092] 2.224** [2.157] -0.400 [0.544] -0.229 [0.874] 1.270 [1.645] 2.205 [2.520] -0.223 [250 Domestic firms with average number of employees ***, **, * significance at 1, 5, 10 % Spillovers from four size categories of foreign firms (micro, small, medium and larger) on all domestic firms (columns 1 and 6) and on four size categories of domestic firms (columns 2–5 and 7–10). Results for OP TFP (columns 1–5) and ACF TFP (columns 6–10). Robust SE in brackets 0.054 R2 107,780 [0.596] [0.572] 167,022 0.327 [0.974] 0.175 [0.955] [1.240] -3.210*** [1.192] -3.216*** 0.588 [2.518] [2.380] 0.666 -2.054 -1.869 0.700 [0.608] 0.584 [0.586] 1.980** [0.827] 2.034*** [1.489] [1.252] [0.776] 0.255 0.699 0.093 [1.620] 0.064 [0.217] [0.212] [1.575] -0.079 -0.087 1.334*** [0.482] 1.225** [0.661] [0.605] [0.477] 0.547 0.359 0.856 [1.356] 0.598 [1.278] Obs. [250 50–250 10–50 \10 FW [250 50–250 10–50 \10 BK [250 50–250 10–50 \10 HR \10 All dom. firms All dom. firms Domestic firms with average number of employees ACF TFP OP TFP Table 4 Spillover effects across domestic and foreign firm size categories Firm size and spillover effects from foreign direct investment 603 123 604 K. Lenaerts, B. Merlevede Fig. 3 Distributions of OP TFP of four size categories of foreign firms in 2005 productive firms engage in FDI as only these firms are able to cover the fixed entry costs associated with investment. Because the productivity distributions of foreign firms do not differ across size classes, firms of all sizes can be expected to enter the Romanian market. One may argue that the fixed entry costs in Romania are lower than in larger developed economies, which facilitates the entry of smaller firms (that cannot enter larger markets). However, following Helpman et al. (2004), firms of all sizes can enter if they are sufficiently productive. Further, the firm size distributions across the foreign investors’ countries of origin are very similar in Romania (see the supplementary materials). Spillovers thus neither seem to be driven by firms of a specific country. Our findings for Romania are partly context-dependent, but likely can be generalized to other (developing) economies. A mechanism that may account for our findings is that—compared to medium-sized foreign firms— large foreign firms may import (a large share of) their intermediates, rather than engaging in local sourcing, and export (a large share of) their output. This rules out potential upstream and downstream linkages with domestic firms and potentially reduces the competitive impact in the domestic market. Whereas our dataset is ideally suited to establish our two main findings, it is less suited for a direct firm-level test of this mechanism. Nevertheless, we are able to present some industry-level evidence from our data by combining them with external data. From Eurostat, we retrieve input–output tables for years 2000 and 2005 that are less detailed than the IO-tables used above (NACE 2-digit instead of the Romanian NACE 3-digit equivalent), but do allow calculating the share of imported intermediates in total intermediate use by industry. Figure 4 plots the shares of imported intermediates in total intermediate use against the log of the median number of employees of foreign firms in the industry. We find a significant positive correlation, suggesting that industries where larger foreign firms are active use a higher share of imported intermediate inputs, leaving less scope for backward spillovers. Simple OLS regressions for both years separately show coefficients of 0.07 and 0.09 that are significant at the 5 % level. The finding that large foreign firms do not generate horizontal spillover effects could likewise result from the fact that these firms are less involved in the Romanian economy. Large foreign manufacturers may use Romania as an export platform from where the source country or other markets are served. To test this, we retrieve the share of export in total industry output for the years 2000 and 2005 from the Eurostat input–output tables. We relate this to the log size of the median foreign firm in the NACE 2-digit industry. Figure 5 reveals a positive relationship between Table 5 Foreign firms’ technological superiority across four firm size categories Micro firms OP TFP Obs. ACF TFP Obs. 0.026** Small firms 0.085** 0.110*** Large firms 0.111*** [0.013] [0.010] [0.014] [0.019] 16,500 18,422 10,770 4154 0.094*** 0.251*** 0.134*** 0.106*** [0.032] [0.023] [0.023] [0.036] 8194 11,174 7356 2892 Results based on matched samples of foreign and domestic firms. SE in brackets ***, **, * significance at 1, 5, 10 % 123 Medium firms Firm size and spillover effects from foreign direct investment Total .4 .6 .8 2005 .2 Share of Imported Intermediates in Total Intermediate Use 2000 0 Fig. 4 Log median number of employees and the share of imported intermediate inputs in total inter-mediate use (NACE 2-digit) 605 2 3 4 5 6 2 3 4 5 6 2 3 4 5 6 Log Median Number of Employees (NACE 2-digit) median size and export orientation. Simple OLS regressions for both years separately show coefficients of 0.11 and 0.19 that are significant at the 5 and 1 % level. The second mechanism we consider is that large foreign firms do not import their intermediates but ‘‘bring their own supply chain’’; i.e., foreign firms that are already linked through the supply chain coordinate their foreign investment before entry and do not build local linkages. An interesting illustration of this mechanism is Renault’s decision to buy the Romanian car manufacturer Dacia in 1999 and the entry of suppliers as Mittal Steel and Michelin (Javorcik and Spatareanu 2005). This mechanism likely runs from large firms to other large or medium-sized foreign firms (large investors might even force their home country suppliers to follow their investment).12 Kuo and Li (2003) also find that one of the main motivations for Taiwanese SMEs to invest abroad is ‘‘following their major clients.’’ Smaller investors probably lack the power to force or persuade their home country suppliers (or clients) to follow their investment. To test for this mechanism, we link entry of foreign firms in different size classes (see Merlevede et al. (2014) on how entry is identified in the dataset) to entry of large MNEs in upstream and downstream industries (using detailed IO-tables). Because entry of large foreign firms is a fairly unique event and the number of industry-year pairs with entry of more than a single large foreign firm is very small, we recode entry of large firms as a zero–one event. Specifically, we define EntryLARGE as a dummy kt-x variable that indicates whether at least a single large foreign firm entered industry k at time t.13 We then run probit regressions to test whether entry of foreign firms of different size categories in a given industry j is correlated with entry of large foreign firms in supplying or sourcing industries -j, as such testing whether large foreign firms ‘‘bring their own supply chain.’’ We construct industry-level variables as in (6) and (7) but replace HRsize with EntryLARGE . The dependent kt kt-x variable in the probit regressions is Entrysize kt , a zero– one variable indicating whether we observe entry of foreign firms of a specific size class. We use a zero– one variable because very likely there is a considerable 12 Although initially Renault set out to continue cooperating with Dacia’s local suppliers, eleven foreign suppliers of the firm were ‘asked’ to enter the Romanian market quickly to take over from the local suppliers which did not meet Renault’s expectations. 13 Entry of large firms occurs in only 17 % of industry-year observations; of these 70 % is a single large foreign entrant, another 15 % is two large foreign entrants, and the remainder varies between 3 and 7 large foreign entrants. 123 606 K. Lenaerts, B. Merlevede Fig. 5 Log median number of employees and the share of exports in total industry output (NACE 2-digit) 2005 Total .5 0 Share of Exports in Total Industry Output 1 2000 2 3 4 5 6 2 3 4 5 6 2 3 4 5 6 Log Median Number of Employees (NACE 2-digit) heterogeneity in the number of suppliers a foreign firm brings, e.g., depending on its activity. For identification, we exploit the fact that entry of a large foreign firm is an isolated event in terms of industry-year pairs and that in terms of timing supply chain entry should be swiftly following the large foreign firm’s entry in order to reduce potential spillovers. We therefore consider concurrent and last year’s entry in linked industries. For these reasons, our strategy works for the effect of large foreign firms’ entry. It is difficult, however, to set up a similar analysis for potential supply chain entry of foreign firms of other size classes because entry of such foreign firms is much more frequent and nearly always multiple firms enter. Combined with the heterogeneity in the number of suppliers an MNE brings, the identification of a ‘‘bring your own supply chain’’ effect is no longer possible using a similar strategy. Results are listed in Table 6 and indicate that the mechanism described above is at work. The probability to observe entry of large, medium, or ‘‘large or medium’’14 foreign firms positively correlates with entry of large firms (this year or last year) in sourcing industries. These findings are also consistent with the negative forward-level effect and the positive forward 14 This is a dummy variable that equals one when either a large or a medium-sized foreign firm enters, or both at the same time. 123 absorptive capability interaction effect found below. When foreign firms bring their supply chain with medium and large firms who produce most of their output for their large foreign client, a domestic firm will need a sufficient level of absorptive capability to translate the availability of more advanced inputs into productivity gains. The entry of micro or small firms does not seem to be related to large firms’ investment in related industries.15 We present some firm-level evidence on the basis of the Business Environment and Enterprise Performance Survey (BEEPS). BEEPS is a questionnaire on the business environment in transition countries organized jointly by the European Bank for Reconstruction and Development and the World Bank.16 In Romania, 45 foreign firms responded to the survey in 2002 and 73 in 2005 (five firms participated in both waves).17 For these firms, we know whether they employ between 2 and 49, between 50 and 249, and between 250 and 9999 employees. In Table 7, we 15 Industry-year pairs with zero entry of micro or small firms are limited. This caveat should be kept in mind for these results. 16 Gashi et al. (2014) for example use the full BEEPS dataset to study export behavior of SMEs in transition countries. 17 The 1999 survey is structured differently, and corresponding questions are hard to find; the 2009 survey is well beyond the time-period of our dataset. Firm size and spillover effects from foreign direct investment 607 Table 6 Entry along the supply chain—a simple exploration Entry of type of foreign firms In 2005 Large 2.547* In 2001–2005 Medium Large or medium [1.320] Concurrent and last year entry of large firms in supplying industries [1.106] [0.892] [0.838] [0.805] [0.806] Obs. 61 61 61 61 61 Concurrent entry of large firms in sourcing industries 0.831 [1.471] 1.701 [1.422] 0.982 [1.366] 0.509 [1.344] 1.140 [1.377] [1.197] -0.301 0.051 2.074* 0.238 [1.168] [1.104] Micro Concurrent and last year entry of large firms in sourcing industries 1.113 2.421** Small -0.117 -0.005 -0.427 -0.155 [1.117] 0.845 Concurrent entry of large firms in supplying industries -0.131 0.042 0.173 [0.379] [0.319] [0.306] [0.300] [0.294] Obs. 61 61 61 61 61 Large 1.088** [0.452] -0.128 [0.456] 305 0.881** [0.375] -0.031 [0.229] 305 Medium 0.849** [0.408] -0.258 [0.391] 305 0.560 [0.348] 0.031 [0.195] 305 Large or medium 0.985** [0.400] -0.294 [0.377] 305 0.805** [0.352] -0.108 [0.193] 305 Probit (columns 1–5) and random effect probit estimates (columns 6–8) relate these size categories to different questions that relate to the mechanisms introduced above. Columns 1 and 2 in Table 7 analyze the answers to the question ‘‘What percentage of your material inputs and supplies are imported directly?’’. The first mechanism yields the expectation that large foreign firms are more likely than other foreign firms to import their intermediate inputs. This is exactly what we find in column 1 where, for the subsample of foreign firms, we regress firms’ intermediate importer status (which equals one if the firm imports any intermediates and zero otherwise) on a dummy for medium firms and a dummy for large firms (small firms being the excluded category). Large foreign firms are significantly more likely to import intermediates. This is confirmed in column 2 where we find that large foreign firms on average import about a 33 percentage-points larger share of their imports than their small and mediumsized counterparts. The question ‘‘What percentage of your sales are exported directly?’’ allows us to verify whether large foreign firms produce less for the local market than other foreign firms. Column 3 in Table 7 confirms that large foreign firms are more likely to be exporters than small foreign firms, whereas medium foreign firms are not. Column 4 suggests that on average, large foreign firms export a 20 percentage-points larger share of their output than small foreign firms. Although the evidence is not decisive, combined with Figs. 4 and 5 above, it does lend support to the idea that larger foreign firms are less involved in the local market. The survey does not contain a question to directly test our claim that large foreign firms bring their own supply chain. However, based on the answer to the question ‘‘What percentage of your domestic sales are to multinationals located in your country?’’, we produce some further indirect support. If large foreign firms do bring their own supply chain, foreign firms should be more likely to supply MNEs than domestic firms. The BEEPS data reveal that 11 % of domestic firms supply MNEs, whereas 27 % of foreign firms do. In column 5 of Table 7, we find that—controlling for firm size—foreign firms are more likely to supply other foreign firms, and column 6 suggests that on average they supply about a 7.5 percentage-points larger share of output to MNEs than domestic firms. Combined with our findings on entry of foreign suppliers following the entry of large foreign firms, these results further support the claim that the lack of backward spillover effects from large foreign firms is (partly) caused by the fact that they bring their own suppliers. 6.2 Domestic firm size versus absorptive capacity Our second main finding is that domestic firm size is of limited importance to understand spillovers. In the literature, firm size typically serves as a proxy for 123 608 K. Lenaerts, B. Merlevede Table 7 Firm-level evidence of the different mechanisms using BEEPS data for Romania (covering years 2002 and 2005) Intermediate importer Probit Medium firms Large firms Share imp. intermediates OLS Exporter Probit Export share OLS 0.408 8.247 0.419 13.663* [0.275] [7.617] [0.268] [7.150] 1.208*** [0.347] 32.873*** 0.933*** [9.327] [0.326] 19.630** [8.645] Foreign firms Supplier to MNE Probit 0.266** [0.131] 0.682*** [0.159] 0.536*** [0.148] 113a Obs. (Pseudo) R 2 v2 Prob. [ v2 0.09 113a 118a 0.10 12.9 0.00 118a 0.03 0.06 8.76 819b 0.05 MNE supply share OLS 2.319** [1.177] 5.654*** [1.609] 7.416*** [1.498] 819b 0.05 34.2 0.03 0.00 Data from BEEPS 2002 and 2005. Firm-level estimates for firms responding to the questions detailed in the text. BEEPS size class definitions: small firms employ between 2 and 49 employees, medium firms between 50 and 249 employees, and large firms between 250 and 9999 employees ***, **, * significance at 1, 5, 10 % a Only foreign firms are used in the estimations reported in columns 1–4 b Foreign and domestic firms are used in the estimations reported in columns 5–6. SE in brackets different underlying channels and mechanisms. However, the correlation of these channels is not necessarily positive, and even the interpretation of a single mechanism does not necessarily point in a single direction. Here, we demonstrate that firm size is a poor proxy for domestic firms’ absorptive capacity (technology level) that is often cited as an important determinant of the direction and magnitude of spillovers.18 Firms’ technology level can be interpreted in two opposing ways that result in different outcomes. Findlay (1978) argues that there is a positive connection between the distance to the world’s technological frontier and economic growth. In his model, productivity spillovers are an increasing function of the technology gap between foreign and domestic firms. Measures of the technology level are often used as a measure of the ability of firms to assimilate outside knowledge. Blomström (1986) finds that foreign firms are more likely to wipe out local competitors if the initial technology level is low and human capital is poor (i.e., a low absorptive capability). Kokko et al. 18 The example of Dacia’s former suppliers unable to live up to Renault’s expectations is also an indication of the limited absorptive capacity of these firms. This prevents them from benefiting from supply chain linkages with Renault. 123 (1996) report that horizontal spillovers are positive and significant only for plants with small or moderate technology gaps vis-à-vis foreign firms. Therefore, there is no theoretical ground for a clear interpretation of the relationship between technology and FDI spillovers. Findlay (1978) suggests that spillovers are a negative function of the technology level, while the absorptive capacity interpretation suggests a positive relation. A measure of absorptive capability needs to reflect the relative technical capabilities of a domestic firm vis-à-vis the foreign firms in the same industry, either to compete with them or to use (produce) similar inputs (output). ACit is defined in Eq. (10) as the distance between firm i’s lagged TFP level (tfpit-1) and the lagged ‘‘foreign frontier’’ in its industry j. The latter is defined as the average TFP level of foreign firms between the 75th and 99th percentile of the TFP distribution of foreign firms in industry j (tfp_avjt1,FOR). ACit ¼ tfpit1 tfp avjt1;FOR ð10Þ Figure 6 illustrates how the absorptive capability distribution (according to the OP TFP definition) varies across domestic firm size categories. Following (10), a value of one indicates that the domestic firm is Firm size and spillover effects from foreign direct investment 609 as productive as the average foreign firm between the 75th and 99th percentile of the TFP distribution of foreign firms in the same industry. The distributions are similar across firm size classes, and the bulk of domestic firms are less than half as productive as the foreign frontier. Figure 6 clearly suggests that firm size only makes a poor proxy for a domestic firm’s ability to benefit from spillovers (also see Sinani and Meyer 2004). We integrate absorptive capability in our analysis by considering a simple interaction effect of AC with the respective spillover variables. The level effects of the spillover variables for the OP and ACF TFP definitions of absorptive capacity in Table 8 are in line with those reported in Table 4. The level effect of AC is negative, which implies a lower productivity growth for domestic firms with a higher AC. Girma (2005) obtains a similar finding. This negative effect also corresponds with the reduced scope effect described by Findlay (1978). The interaction effects confirm that absorptive capacity potentially has a role to play, as a non-negligible number of them are significant. It is difficult, however, to draw clear-cut conclusions from these results as some effects are negative and some are positive. In some cases, there are also differences between the OP and ACF TFP definitions. This could be due to multicollinearity or to the fact that the impact of AC is nonlinear (cf. Girma 2005, who uses threshold analysis to properly identify the effects). A more detailed analysis of this relationship is beyond the scope of this paper, however. For the purpose of this paper, we conclude that domestic firm size is of minor importance because it does not function well as a proxy for underlying mechanisms such as the role of absorptive capacity. That is why other identification strategies are required Table 8 Absorptive capability as determinant factor (OP and ACF TFP) OP TFP Level AC ACF TFP AC-inter -0.018*** Level AC-inter -0.345*** [0.004] [0.019] HR \10 10–50 50–250 0.770 0.600 [0.361] 0.582 -0.422** 0.904 [0.610] [0.190] [1.467] 0.983** [0.484] [250 -0.503 [1.283] -0.023 0.430*** [0.161] -0.138 [0.211] [0.092] 0.385 -0.727** [1.582] [0.351] [3.221] -2.708 [1.710] -0.363 [0.920] 3.635*** -1.712*** [1.155] 0.071 [0.572] [0.636] -0.379 [0.385] BK \10 10–50 0.112 [1.232] 50–250 [250 2.328*** 1.135*** [0.399] 0.025 -1.059 [3.572] 1.149 [3.374] 1.531 [1.229] 4.676** [1.878] 6.388*** -0.240 [0.783] [0.142] [2.219] 0.568 -0.461* 1.399 [0.813] 1.821* [0.587] [0.238] [1.653] [1.015] FW \10 -2.568 [2.406] 10–50 1.658** [0.758] [5.799] 1.931 [3.025] 0.649 0.136 1.497 2.055 [1.194] [0.285] [3.197] [1.318] 50–250 -3.020*** -0.411* [0.946] [0.213] [250 -1.850 -7.355*** [2.034] 0.780 [1.001] 0.384 -0.330* 0.036 0.125 [0.587] [0.196] [1.519] [0.953] Obs. 167,022 120,763 R2 0.073 0.101 Results for all domestic firms Fig. 6 Distribution of absorptive capability of domestic firms in different size classes in 2005 Spillovers from four size categories of foreign firms (micro, small, medium and larger) on all domestic firms. Results for OP TFP (columns 1–2) and ACF TFP (columns 3–4). Robust SE in brackets ***, **, * significance at 1, 5, 10 % 123 610 to uncover these spillover mechanisms and to determine which local firms are able to benefit from positive productivity spillovers. In this regard, Lenaerts and Merlevede (2014) present a more thorough analysis of the effect of foreign and domestic firms’ technology level. K. Lenaerts, B. Merlevede supported by complimentary evidence based on the BEEPS dataset. Small foreign firms do not generate spillovers, which is likely to be caused by scale effects. References 7 Conclusions The literature on FDI spillover effects has neglected the size of foreign firms as a potential determinant factor of spillover effects. The main reason is that foreign firms implicitly are assumed to be large and small firms are assumed to play no role in the mechanisms behind these spillovers. This paper explicitly analyzes the role of foreign and domestic firms’ size for a sample of Romanian manufacturing firms. We first show that a large number of small foreign investors are present in Romania: 70 % (40 %) of foreign firms employ less than 50 (10) employees. Though large in numbers, small foreign firms only account for a small share in total foreign value added (10.9 %) and turnover (12.3 %). Our spillover analysis reveals two main findings: (1) small and large foreign firms do not generate spillovers to domestic firms, only mediumsized foreign firms do; and (2) the size of domestic firms is of limited importance in explaining spillover effects. Domestic firm size is of limited importance because it serves as a proxy for different underlying spillover mechanisms and interpretations that imply different spillover effects. These mechanisms should be identified through more in-depth analysis. 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