Received: 12 February 2021 | Accepted: 23 June 2022 DOI: 10.1111/1467-8268.12656 OR IG INAL ART I C L E On the allocation puzzle and capital flows: Evidence from foreign direct investment and real sector growth in Africa Michael Effah Asamoah1 | Imhotep Paul Alagidede2 | Frank Adu3 1Department of Accounting, University of Ghana Business School, University of Abstract Ghana, Accra, Ghana This paper takes a new dimension on the foreign direct investment (FDI)–growth 2Wits Business School, University of the nexus through the lens of the allocation puzzle. We examine how the influx of Witwatersrand, Johannesburg, South Africa FDI affects the broader economy through its impact on real economic sectors in a 3Transformation Fellow, African Center panel of 42 Sub‐Saharan African (SSA) countries over 1980–2017. Using a for Economic Transformation, Accra, dynamic panel model and decomposing the real sector into its parts, we test for Ghana the possibility of a two‐way bi‐directional relationship between growth in Correspondence agriculture, manufacturing, industry and service value additions, and FDI. There Michael Effah Asamoah, Department of is no evidence of an allocation puzzle at the level of the real sector and the Accounting, University of Ghana components parts, which suggests that SSA countries with relatively high growth Business School, University of Ghana, Accra, Ghana. in the real sector will attract more FDI. While the effect of FDI on the real sector Email: measamoah@ug.edu.gh and is positive at the disaggregated level, there is a positive bi‐directional effect iameffah@gmail.com between FDI and growths in manufacturing, industry and service value additions. The results are robust to key determinants of the growth–FDI nexus. KEYWORD S allocation puzzle, FDI, GMM, real sector growth, Sub‐Saharan Africa, value additions 1 | INTRODUCTION The association between capital flows and economic growth emanates from the assumptions of neoclassical growth theory (Solow, 1956). The theoretical basis posits that in a closed economy where foreign capital is restricted, higher domestic interest rates stifle investment and growth. However, in a liberalized economy, barriers impeding capital flows are removed. The influx of capital leads to a fall in the domestic interest rates, culminating in increased investments and high growth. Obstfeld (2012) shows the flow of capital to originate from countries where the marginal product of capital is low to countries that offer higher marginal rates per capita. Alley (2015) also posits that investors are likely to earn a relatively higher return on the same amount of capital invested in capital‐deficient countries than when invested in capital‐abundant countries. Despite the benefits of capital flows to economic growth, critical questions about the directional flow of capital remain unanswered (see Lucas, 1990; Prasad et al., 2007). Current arguments have also tended to focus on testing the validity of earlier theories on capital flows and economic growth (Gourinchas & Jeanne, 2013; MacDonald, 2015; Prasad et al., 2007). Theoretical conventions of the neoclassical growth framework predict that capital flows enhance economic growth (Mankiw et al., 1992) and that faster‐growing economies should attract relatively more capital to enhance growth rates (Gourinchas and Jeanne (2013). The latter proposition is because fast‐growing economies have relatively better investment opportunities and may be creditworthy. However, some empirical studies suggest a contradiction to the view postulated above—“the allocation puzzle”. The main thrust of our study is the weak link between theoretical Afr Dev Rev. 2022;1–11. wileyonlinelibrary.com/journal/afdr © 2022 African Development Bank. | 1 2 | ASAMOAH ET AL. predictions and empirical evidence on the directional flow of private capital and economic growth. Specifically, we look at the relationship between real sector growth and foreign direct investment (FDI) on the back of the allocation puzzle. The Organisation for Economic Co‐operation and Development (2008) notes the relevance of FDI to many economies. Even though some studies have found that FDI may be affected by economic uncertainties (Asamoah et al., 2022; Moraghen et al., 2021), Onye et al. (2022) and Levchenko and Paolo (2007) suggest that flows of such nature help economies avoid the uncertainties associated with dependence on short‐term flows for investment and growth. The literature remains divided on the relationship between capital flows and economic growth, and more importantly, the voluminous literature is silent on the effect of FDI on real sector growth or the effect of the real sector growth of capital flows. Explicitly, we test for evidence of the “allocation puzzle”, and a possible bi‐directional relationship in the association between real sector growth and FDI in Sub‐Saharan Africa (SSA). Extant studies on the FDI–growth nexus have focused on gross domestic product (GDP), GDP per capita and productivity catch‐up as the only proxies for economic growth. To the best of our knowledge, this represents the first shot at taking a critical look at the link between FDI and real sector growth, in the light of the “allocation puzzle”, and through the lens of SSA. For instance, MacDonald (2015) employed data from emerging and developing countries with no specific focus on SSA. Gourinchas and Jeanne (2013) employed data on non‐ Organisation for Economic Co‐operation and Development (OECD) countries with selected SSA countries. Secondly, although an array of studies abound on the specific role of FDI in economic growth, only a handful have thoroughly examined any bi‐directional relationship between growth and FDI. The literature is inconclusive about any bi‐directional association between economic growth and FDI (Kholdy & Sohrabian, 2005; Luca & Spatafora, 2012), not to mention FDI and real sector growth. Although Beri and Nubong (2021) notes that Africa's share of global FDI remains infinitesimal, the focus on FDI and Africa is necessary as such flows have helped most African countries to move away from being heavily dependent on aid and natural resource endowment. Ernst and Young (2013) show the FDI has in the past created almost 1.6 million jobs on the continent. Even though studies on capital flows and the real sector in Africa are gaining attention (Asamoah & Alagidede, 2021; Taylor, 2020), the issue of the allocation puzzle has received minimal attention. In a related study Asamoah and Alagidede (2020) examined the issue of the allocation puzzle, but the study primarily focused on portfolio investments. With data on 42 SSA countries, the study therefore examines whether FDI promotes growth of the real sector or whether real sector growth attracts FDI in the wake of the allocation puzzle. The rest of the paper is structured as follows: Section 2 presents a review of the literature on the allocation puzzle and capital flows. Section 3 discusses the data and methodology employed. We present our results in Section 4, with policy recommendations and conclusions in Section 5. 2 | LITERATURE REVIEW Employing data on a set of 65 non‐OECD countries between 1980 and 2000, Gourinchas and Jeanne (2013) found great inconsistencies in the neoclassical predictions between the flow of foreign capital and economic growth. They show that, over the period, countries that have achieved higher growth rates relative to their counterparts attract smaller amounts of net capital inflows, revealing an inverse association between net capital inflows and productivity growth rates. They found a significant negative relationship between net capital flows and productivity growth even after controlling for initial capital abundance, initial debt, population growth, capital controls and financial openness. An analysis of the puzzle, however, reveals that the allocation puzzle is a function of the savings component of net capital flows as well as the publicly originated capital inflows. Although the initial association between capital flows and growth produced an inverse relationship on a sample of 67 countries from 1980 to 2007, Alfaro et al. (2014) show that the negative association was due to the public component of capital flows. Thus, when we decompose capital flows into private and public flows, there exists a positive association between private capital flows and growth, a phenomenon that supports the neoclassical view of the capital flow–growth nexus. It is therefore imperative for governments to focus more on addressing issues relating to public savings and official flows as well as current accounts and not solely on private savings if the full benefits of capital flow on growth will be attained. Similar conclusions by Schroth (2016) show that indeed capital does that not flow to fast‐growing economies in the right proportions and that although FDI flows seems to follow growth, large savings in the form of sovereign debt mostly offset the positive relationship between FDI and growth, resulting in the allocation puzzle between total capital flows and growth in developing countries. However, these studies are conscious of their sample size: while Prasad et al. (2007) focused on non‐industrialized countries, Gourinchas and Jeanne (2013) focused on OECD countries. Although ASAMOAH ET AL. | 3 Alfaro et al. (2014) and MacDonald (2015) employed a sample of both developed and developing countries, SSA as an investment destination has received no attention. 3 | DATA AND METHODOLOGY We construct a panel of 42 SSA countries to test for evidence of an allocation puzzle and the possibility of a two‐way relationship between foreign investment and real sector growth. The choice of country was based on data availability. We extracted data from the World Development Indicators of the World Bank, the Penn World Tables and the Chinn and Ito (2008) Index. 3.1 | Econometric models of real sector and FDI We specify a regression model to capture a two‐way association between real sector growth and FDI. This approach has been used in the FDI–growth literature (Asamoah & Alagidede, 2020; Iamsiraroj, 2016). The econometric models are specified below: RSGit = αRSGit−1 + Σβ1Xit + Σβ2FDIit + Ui + εit + λt. (1) FDIit = αFDIit−1 + Σβ1Xit + Σβ2RSGit + Ui + εit + λt. (2) The dependent variable RSGit measures annual growth in the real sector for country i at time t. For our study, the real sector consists of the manufacturing, industrial, agriculture and service sectors. We measure the growth of each sector by value additions. In line with Asamoah and Alagidede (2020), we construct a real sector growth index, which is an equal weight of the four components. Consistent with Asamoah and Alagidede (2021) and the definitions of the World Bank, we define each of the four components. The annual growth of agriculture value‐added (AGVA) encompasses value additions in forestry, hunting and fishing, as well as the cultivation of crops and livestock production. Services value added (SERVA) comprises value additions in wholesale and retail trade transport, and government, financial, professional and personal services such as education, healthcare and real estate services. Industrial value‐added (INVA) comprises value additions in mining, manufacturing (also reported as a separate subgroup), construction, electricity, water and gas. Manufacturing value added (MANVA) is the net output of manufacturing after adding up all outputs and subtracting intermediate inputs. Value‐added is the net output of a sector after adding up all outputs and subtracting intermediate inputs. FDIit is the sum of equity capital, reinvestment earnings, other long‐term capital and short‐term capital as shown in the balance of payment. FDI inflow is a percentage of GDP; RSGit−1 is a lag of growth of the real sector; and FDIit−1 is the lag of FDI. Xit denotes a set of control variables known to influence the growth of the real sector and the attraction of FDI. The controls include M2, inflation, natural resources, exchange rate, gross domestic savings, trade openness, financial openness, gross fixed capital, human capital and GDP growth. We use GDP growth for robustness. 3.2 | Dynamic panel estimations The limitations in traditional estimators like the ordinary least squares (OLS) are known to be downwards biased, especially when there are measurement errors with regressors. Again, OLS does not deal with the issues of endogeneity of the main explanatory variable and the error term. In explaining endogeneity in its simplest form, Lynch and Brown (2011) posit that endogeneity arises when a predictor or independent variable (X) in a regression model is deemed to correlate with the error term in the regression model. This can occur when important variables are omitted from the model (called “omitted variable bias”) and when the outcome variable (Y) is a predictor of (X) and not simply a response to X (called “simultaneity bias”). Furthermore, the OLS also does not account for the possibility of unobserved country‐specific differences. Thus, the correct way to estimate such relationship is to estimate a dynamic panel regression by including a lag of the dependent 4 | ASAMOAH ET AL. variable as a regressor in the main equation to avoid misspecifications (Arellano & Bond, 1991). Dynamic panel data estimations have unobserved panel‐level effects, which are known to be associated with lags of the dependent variable, thereby rendering standard estimators inconsistent. To deal with such inconsistency Arellano and Bond (1991) proposed the GMM estimator which can provide consistent estimations for these models by taking the first difference of the data and using the lagged values of the dependent variables as instruments, this is the basic GMM estimator known as the difference GMM. The GMM estimator helps eliminate country‐specific bias by taking the difference between Equations (1) and (2), as shown below: yit − yi,t−1 = α ( yi,t−1 − yi,t−2) + β (Χit − Χi,t−i) + (εit − εi,t−i). (3) The purpose of the differencing is to eliminate any potential unobserved country fixed effect. Also, Arrelano and Bond (1991) notes the relevance of the instruments used under the GMM estimator. First, the use of the GMM approach allows us to control for the endogeneity of the main explanatory variable. Second, to resolve potential problems of new error terms (εit − εi,t−i) being correlated with the lagged of the dependent variable ( yi,t−1 − yi,t−2). Also, to avoid further issues of serial correlation of the error terms and independent variables being weakly exogenous, the GMM estimator employs additional moment conditions: Ε[ yit−s . (εit − εi,t−1)] = 0 for s ≥ 2; t = 3, …. T, (4) Ε[Χit−s. (εit − εi,t−1)] = 0 for s ≥ 2; t = 3, …T. (5) The moment conditions in Equations (4) and (5) are employed in the GMM estimator to ensure consistent and efficient parameter estimates. The difference GMM is however not immune to limitations. As noted by Arellano and Bover (1995), lagged level are weak instruments. Furthermore, Blundell and Bond (1998) note that the difference GMM also has very poor finite properties when it comes to precision and bias if the independent variables are tenacious over time. The system GMM as proposed by Blundell and Bond (1998) improves the limitations of the difference GMM as proposed by Arellano and Bond (1991) and the deviation GMM by Arellano and Bover (1995), by providing additional moment conditions to deal with the issue of poor instruments in the difference GMM. Thus, the system GMM relies on the use of appropriate instruments even when the independent variables are highly persistent. The system GMM relies on the use of additional moment conditions. The overall validity of the instruments used is central to the GMM estimator as they ensure consistency (Carkovic and Levine, 2005). To test the validity of instruments used, two specification tests as indicated by Arellano and Bond (1991) and Blundell and Bond (1998) must be satisfied. The first is the test for overidentifying restrictions, which analyzes the analog of the moment conditions employed in the estimation. The second test examines the hypothesis that the error term is not serially correlated. The Sargan test is used for difference GMM while the Hansen J is used for the system GMM estimator. The Sargan/Hansen test measures the validity of the instruments by analyzing sample analogs of the moment conditions used in the estimation. By construction, the error term could be serially correlated in the first order [AR(1)]. However, second‐order serial correlation is a sign of misspecification, that is, the second specification test is to ensure that the error term is not serially correlated in the second order [AR(2)]. We further estimate the long‐run effect of the variable of interest on the dependent variable. For a general linear equation in the form: Y = a + bx (6) the long run effect of the short run coefficient, X, is determined as _b (x) . [1 − _b (lagY )] (7) We thus estimate the long‐run effects of the impact of FDI on the growth of the real sector and GDP growth. Is it the case the impact of FDI on growth is only in the short run or long run, or both? From Equation (1), we estimate the long‐run relationships of the impact of FDI on growth on the real sector by the application of Equation (8): ASAMOAH ET AL. | 5 _b (FDI) . [1 − _b (L. RSG)] (8) 4 | EMPIRICAL RESULTS We first discuss the effect of FDI on the real sector growth index and the individual components. We then discuss how real sector growth and its components contribute to the attraction of FDI. 4.1 | Real sector growth results We present the core results of our regression in Table 1. The independent variable of interest is FDI. For the robustness check, we also regress FDI on GDP growth and the associated controls. Given the dynamic nature of our estimator, we found the lag of both real sector growth and GDP growth to be positive and significant. As consistent with Rodman (2009), the coefficient of the lagged dependent variables falls TABLE 1 Effect of foreign direct investment (FDI) on growth Real sector growth index GDP growth Dependent variable Model 1 Model 2 Constant 5.722 (1.604)*** 50.648 (3.204)*** Lag RSG 0.168 (0.028)*** Lag GDP growth 0.464 (0.111)*** Foreign direct investment 0.351 (0.108)*** 0.801 (0.107)*** M2 −0.106 (0.026)*** −5.327 (0.845)*** Inflation 0.371 (0.442) −0.956 (0.312)*** Natural resources −0.340 (0.045)*** −0.303 (0.732)*** Exchange rate 0.885 (0.135)*** 0.011 (0.001)*** Gross domestic savings 0.130 (0.037)*** 0.323 (0.565)*** Trade openness 0.045 (0.009)*** −0.066 (0.236)*** Human capital −1.781 (1.326) −3.021 (0.236)*** Gross fixed capital −0.120 (1.604)* −0.286 (0.075)*** Diagnostics Observations 626 698 Number of groups (n) 33 31 Number of instruments (i) 31 30 Instrument ratio (n/i) 1.03 1.03 AR (1): z (p‐value) −3.56 (0.000) −3.45 (0.001) AR (2): z (p‐value) −1.50 (0.133) 0.45 (0.651) Hansen J: χ (p‐value) 26.63 (0.146) 25.39 0.115 Wald χ: p‐value 0.000 0.000 Note: Standard errors are presented in parentheses. From the table, we estimate the determinants of growth proxy by the growth of the real sector (RSG). FDI is the variable of interest. AR (1) = Test of first‐order autocorrelation; AR (2) = test of second‐order autocorrelation; Hansen J = test of overidentifying restrictions. *, **, *** denotes significance levels at 1, 5 and 10% respectively. Abbreviation: GDP, gross domestic product. 6 | ASAMOAH ET AL. within the accepted range of 0–1. The robustness of the GMM estimation as examined by the Hansen J test supports the validity of the instruments used. From Table 1, Model 1 shows FDI to exhibit a positive and significant relationship with the growth of the real sector over the study period. The results suggest that higher inflows of FDI are necessary for the growth of SSA's real sector. Inflows of FDI will aid and fast track the growth of these sectors. Thus, at the lower aggregate level, growth will increase with an anticipated increase in the flow of FDI. Our results indicate that a unit increase in the FDI will lead to a 0.351 units increase in real sector growth. Our results show that direct channels of FDI into the real sector should be encouraged. For the robustness check, we also regress FDI on GDP growth as shown in Model 2 of Table 1. The results show an overwhelmingly positive association between GDP growth and all FDI at the 1% significance level. Our conclusions on FDI confirm earlier assertions of a positive association by Okafor et al. (2017), Iamsiraroj (2016) and Alley (2015). It goes on to suggest that there is no evidence of an allocation puzzle at the overall level of real sector growth and FDI into SSA. The relevance of our studies is for countries to continue to pursue policies aimed at enhancing growth as increased growth will attract large volumes of FDI. The relative impact of our control variables can be observed from the above table. We further discuss the long‐run impact of FDI on the growth of the overall real sector, and GDP growth. We focus on growth at the overall level of real sector. From Table 2, we observe that FDI has a significant long‐run relationship with the overall growth of the real sector. We observe that the long‐run effect on FDI on the growth of the real sector is positive with a coefficient of 0.42. Thus a 1% change in FDI inflows into SSA is associated with a 0.42% expansion in the growth of the real sector in the long run at a 1% significance level. The results from GDP growth show a similar trend, where the long run impact of FDI on growth is significant and positive at a 1% significance level. The results imply that a 1% sugre in FDI inflows will ehance GDP growth by 1.2%. Again, we observe that the overall impact of FDI inflows on GDP growth in the long run (1.244) exceeds that of the short run (0.801). 4.2 | Foreign direct investment and real sector growth components We further assess the effect of FDI on the components of the real sector. The results are presented in Models 1–4 of Table 3. The coefficient of the lagged dependent variables falls within the accepted range of 0–1. Table 3, Models 1–4 show a significant positive relationship between FDI and manufacturing, industrial and service sector value additions but a negative relationship with agriculture value additions. The positive association with both industrial and service sectors is at a significant level of 1% while that of manufacturing is weakly significant at 10%. The positive relationship could result from the positive spillover effects and technological transfers that host countries enjoy through FDI. Large inflows of FDI could be a strong catalyst for the growth of the industrialization agenda given the positive relationship between FDI and manufacturing and industrial value additions. The results show that a unit increase in the flow of FDI will lead to a 1.024 unit and a 0.462 unit growth in manufacturing and industrial value additions, respectively. Furthermore, the higher coefficient for manufacturing suggests that manufacturing as a component of industrial value additions could lead the way for SSA industrialization. Our finding corroborates that of Kodongo and Ojah (2017), who also found FDI flows to positively affect industrial and manufacturing value additions for a set of 19 African countries between 1990 and 2013. They postulate that the positive impact could result from spill‐over effects attributable to technological transfers from the originating FDI countries. Alfaro (2003) also shows the positive impact of FDI on manufacturing, and thus supports the assertion that externalities that emanate from FDI in the form of technological and managerial know‐how tend to favor investments in the manufacturing and service sectors. Our results also support earlier studies that have found positive spillover effects of FDI in manufacturing and at the industry TABLE 2 Long‐run results on the impact of FDI on real sector growth Long run Coefficient Standard error z P> z Real sector growth 0.422 0.127 3.33 0.001 GDP growth 1.244 0.434 2.87 0.004 Abbreviation: GDP, gross domestic product. ASAMOAH ET AL. | 7 TABLE 3 Effect of FDI on real sector growth components MANVA AGVA INVA SERVA Dependent variable (1) (2) (3) (4) Constant −16.512 (7.828)** −12.091 (3.586)*** 1.38 (0.881) 8.560 (3.001)*** Lag dependent variable 0.493 (0.081)*** 0.205 (0.064)*** −0.017 (0.007)*** −0.092 (0.469)** FDI 1.024 (0.599)* −0.878 (0.345)** 0.462 (0.070)*** 2.011 (0.390)*** GDP growth 0.770 (0.753)*** 1.180 (0.185)*** 0.283 (0.018)*** 0.630 (0.067)*** M2 1.090 (1.309) 0.391 (0.072)*** −0.329 (0.279) −1.144 (0.574)** Inflation 0.086 (0.397)** 2.482 (0.516)*** 0.001 (0.003) 0.001 (0.004) Natural resources −0.206 (0.075)*** 0.656 (0.360)* −0.191 (0.092)** −0.083 (0.231)*** Exchange rate −0.408 (0.362) −0.058 (0.152) 0.047 (0.026)* −0.319 (0.249) Gross domestic savings 0.211 (0.053)*** 0.281 (0.049)*** −0.027 (0.009)*** 0.054 (0.020)*** Trade openness −0.056 (0.199)*** −0.179 (0.038)*** −0.005 (0.005) −0.027 (0.137)** Financial openness −0.353 (0.536) −1.483 (0.658)** −0.547 (0.077)*** −0.893 (0.347)** Diagnostics Observations 631 573 620 633 Number of groups (n) 35 39 39 36 Number of instruments (i) 30 34 32 30 Instrument ratio (n/i) 1.17 1.15 1.22 1.20 AR (1): z (p‐value) −3.36 (0.001) −3.91 (0.000) −4.00 (0.000) −2.92 (0.004) AR (2): z (p‐value) 1.36 (0.173) −0.60 (0.551) −0.61 (0.545) −1.34 (0.180) Hansen J: χ (p‐value) 20.83 (0.185) 27.36 (0.241) 26.80 (0.178) 18.91 (0.273) Wald χ: p‐value 0.000 0.000 0.000 0.000 Note: AGVA, agricultural value additions; FDI, foreign direct Investment; INVA, industrial value additions; MANVA, manufacturing value additions; SERVA, service value additions. *, **, *** denotes significance levels of 10%, 5% and 1% repectively. GDP, gross domestic product. level, such as Borensztein et al. (1998) on a set of 69 developing economies at the industry level. The results support assertions by United Nations Industrial Development Organization (2015) and United Nations Conference on Trade and Development (2016) on the relevance of the manufacturing and industrial sectors to sustained growth in developing countries. The findings go against some propositions that have sought to describe SSA as lacking any industrialization agenda. Gui‐Diby and Renard (2015) postulate that FDI inflows do not have any significant effect on a country's industrialization. Gui‐by and Renard hypothesize that a major contributing factor could be the government's inability to create a conducive environment for FDI to affect industrialization. Other studies have also found FDI to negatively affect or have no significant effect on the growth of the manufacturing and industrial sectors. Some attribute this to the high level of competition from foreign investors which ends up crowding out local firms (Waldkirch & Ofosu, 2010; Xu & Sheng, 2012). On the effect of FDI on the service sector, contrary to Kodongo and Ojah (2017), who found FDI to affect service value additions negatively, we found a strong positive relationship at the 1% significant level, with a unit increase in FDI flows leading a 2.0 unit in the growth of the service sector. It shows the potency of FDI in improving the growth of the service sector in SSA. Our findings also depart from those of Alfaro (2003), who found an ambiguous relationship. The positive effect on the service sector is likely to be a result of the fact that most foreign investors have realized the growing size of the services sector in the world economy and are thus turning attention to the sector. United Nations (2011) notes a change in the direction of FDI to developing economies from manufacturing to the services sector over the past two decades. By the end of 1989, manufacturing accounted for almost 52% of FDI to developing countries while services accounted for only 35%. However, by the beginning of 2008, the services sector FDI had risen to 49% while that of manufacturing had dropped to 37% (United Nations, 2011). Also, the higher coefficient gives an indication 8 | ASAMOAH ET AL. of the recent direction of FDI into SSA and supports recent assertions that the services sector can lead SSA's growth (African Development Bank, 2018). The results confirm the supposed interest of foreign investors in the services sector of most SSA countries or the expansion of existing investors into services in other countries. Inflows of foreign capital in SSA in recent times is evident in the telecom, banking, insurance and education as well as transportation industries. The positive relationship is also an indication that the flow of FDI into traditional extractive industries could be gradually changing. It is therefore essential that the challenges facing the services sector such as infrastructure, logistics, human capital and finance are resolved on a country‐level basis, as the sector is deemed essential to the development agenda of the sub‐region. United Nations (2011) and Bhinda and Martin (2009) note a significant shift in the direction of FDI to the services sector. We further found a significant inverse relationship between FDI and agriculture value additions, at a 5% significance level. The effect of a 1% increase in the inflow of FDI will be a decrease of 0.878% in the growth of agriculture value additions. Just like Kodongo and Ojah (2017), the seemingly negative relationship illustrates the type of FDI that is known to flow into SSA. Most foreign investments go into the extractive‐ and natural resource‐endowed areas of the continent. AfDB/OECD/UNDP (2014) notes that more than 95% of FDI that came to Africa went to natural resource‐endowed countries. In a continent where most farmers do not own lands to farm, farmland is likely to be sold for the extraction of natural resources; this may account for the significant negative relationship. Agriculture may therefore not be the right channel to attract foreign capital into SSA. As noted by United Nations (2011), between 1990 and 2007, FDI flows into the primary sector for most developing countries could be found in the mining, quarrying and petroleum sectors, with little or decreasing FDI to the agricultural sector. Bhinda and Martin (2009) notes that the agriculture sector has suffered from underinvestment owing to factors such as poor information available to foreign investors in the sector, issues of land rights, lack of credit and infrastructure. Again, to document the effect with our data, a 1 standard deviation increase in the flow of FDI (if standard deviation = 5.0) will lead to a 4.39 percentage point drop in the growth of the agricultural sector (coeffecient of FDI in Model 2, Table 3 × the standard deviation of FDI; −0.878 × 5.0 =−4.39). 4.3 | Foreign direct investment results The results from the FDI model are presented and discussed. We examine the impact of the real sector growth index and its components on the FDI. We do this for two reasons: to test for evidence of the puzzle from the point of capital flows as in Gourinchas and Jeanne (2013) and to test for any possibility of two‐way relationships between real sector growth, its components and FDI inflows. We first examine the effect of the real sector index on FDI and then the effect of each part on FDI. For robustness, we so do the same with GDP growth as an explanatory variable, which was the same as in MacDonald (2015). The results of the effect of the real sector index and GDP growth on FDI are shown in Table 4. Under all models, we observe the reinforcing capacity of FDI. Model 1 shows that there is a strong positive relationship from regressing real sector growth index on FDI, a situation that is in line with the conclusions of the neoclassical growth theory. At a 1% significance level, a 1% increase in the growth of the real sector will lead to a 0.4% increase in the attraction of FDI to SSA. The consistency of our results is supported by Model 2, where at a 1% significance level, a 1% increase in GDP growth will lead to a 0.3% increase in the flow of FDI to SSA. Our results confirm conclusions by MacDonald (2015) that growth enhances the attraction of FDI and those by Gourinchas and Jeanne (2013), who found growth to correlate with all forms of capital flows positively. Overall, the results in Models 1 and 2 of Table 4 suggest that there is no evidence of the allocation puzzle between FDI and either growth of the real sector or GDP in SSA. Thus, the more a country grows, the more likely it is to be able to attract foreign capital. The implication thus is that, as stated, faster growing countries will need more funds for developmental and investment purposes. The anticipated growth also assures investors of possible returns. The result is very relevant as studies are convinced that Africa's growth hinges on increased inflows of FDI and aid inflows in addition to improved macroeconomic policies (McKinsey, 2012). Again, the findings are robust to various controls of FDI. From the point of FDI, we found no evidence to support recent claims of “an allocation puzzle” regarding the directional flow of capital flows about growth, especially regarding SSA countries. Model 3 shows the effect of value additions in manufacturing, agriculture, industry and services on the attraction of FDI. We found a strong positive relationship between all value additions and the inflow of FDI. The effect was at a 1% significance level for value additions in agricultural, industrial and services with a 10% significance for industrial value additions. The intuition is that when these sectors grow in SSA, they are most likely to attract more FDI. Their growth ASAMOAH ET AL. | 9 TABLE 4 FDI, real sector growth and its components FDI FDI FDI Dependent variable Model 1 Model 2 Model 3 Constant −2.292 (1.654) −0.428 (1.704) −10.198 (1.856)*** Lag dependent variable 0.818 (0.067)*** 0.549 (0.071)*** 0.480 (0.044)*** Real sector growth index 0.401 (0.066)*** — — GDP growth — 0.311 (0.055)*** — Agricultural value added — — 0.221 (0.040)*** Industrial value added — — 0.172 (0.058)*** Manufacturing value added — — 0.058 (0.031)* Service value added — — 0.141 (0.053)*** M2 −0.075 (0.024)*** −0.020 (0.020) 0.075 (0.014)*** Inflation 0.002 (0.0006)*** 0.002 (0.0003)*** −0.0002 (0.0002) Natural resources 0.143 (0.035)*** 0.203 (0.018)*** 0.065 (0.017)*** Exchange rate −0.006 (0.002)*** −0.001 (0.015) 0.001 (0.0002)*** Gross domestic savings −0.257 (0.040)*** −0.197 (0.021)*** −0.020 (0.018) Trade openness 0.018 (0.235) 0.003 (0.023) 0.042 (0.010)*** Financial openness 0.459 (0.272)* 0.586 (0.247)** 0.634 (0.237)*** Human capital 1.072 (1.102) −1.340 (1.223) — Gross FCF 0.384 (0.088)*** 0.372 (0.777)*** — Diagnostics — — — Observations 738 729 838 Number of groups (n) 31 31 37 Number of instruments (i) 30 30 37 Instrument ratio (n/i) 1.03 1.03 1.00 AR (1): z (p‐value) −2.94 (0.003) −2.87 (0.004) −2.16 (0.031) AR (2): z (p‐value) 0.87 (0.384) 1.51 (0.132) 1.04 (0.299) Hansen J: χ (p‐value) 23.76 (0.126) 19.31 (0.311) 25.16 (0.289) Wald χ: p‐value 0.000 0.000 0.000 Note: AGVA, INVA, MANVA, SERVA, FDI, and all of the variables are as defined in Table 3. *, **, *** denotes significance levels at 10%, 5% and 1% respectively. is thus a bait for foreign investors to inject fresh or additional capital into these sectors and the larger economy. The results show that a 1% increase in the growth of the agriculture, manufacturing, industry and service sectors will lead to a 0.2, 0.1, 0.2 and 0.1% increase in the flow of FDI in SSA. The effect of controls on the attraction of FDI is mixed under the various models. Consistent with GMM estimations, the Hansen J‐test shows that all conditions relating to orthogonality have been met in all estimations, meaning that our models are properly estimated. AR (2) also shows that conditions relating to second‐order autocorrelation have been satisfied. 5 | POLICY RECOMMENDATION AND CONCLUSION From our studies, our results show that policy‐makers should not be worried about growing the real sector amidst fears of low inflows of FDI, as stipulated by the allocation puzzle. Our results support earlier studies that have recommended that policies be instituted aimed at attracting more FDI. The puzzle does not even exist at a disaggregated level of 10 | ASAMOAH ET AL. growth as we found a positive bi‐directional relationship between FDI and manufacturing, services, and industrial value additions. The only evidence of the puzzle is seen when we regress FDI inflows on growth of the agricultural sector, meaning that high growth of the sector deters the attraction of FDI. On the issue of a bi‐directional relationship, we have established that there is a two‐way link between FDI and overall growth in the real sector. We recommend that policies aimed at improving the growth of the real sector should be strengthened. Among them are included a dynamic and resilient agricultural productivity, modernized and mechanized farming and access to credit by all sectors, in terms of the agriculture sector, a vibrant manufacturing and industrial sector, strong pursuit of SSA's industrialization agenda, and increased efficiency in mining and construction for the manufacturing and industrial sectors. Government should increase budgetary allocations to all sectors and laws to sustain and protect the real sector as well as create direct linkages among all sectors will enhance the inflow of private capital and especially FDI to the sub‐region. In the same way, policies aimed at attracting FDI such as capital account liberalization, a stable macroeconomic environment (controlled inflation, money supply, exchange rate and budget surplus), trade and financial openness, human capital development and a favourable investment and business climate may go a long way to enhance the growth of the real sector. Also, given that the impact of FDI on the real sector is much greater in the long run, policy‐makers should not be myopic when drafting FDI‐real sector related policies. Such policies should be a long‐term focus more than a short‐term one. Again, FDIs have a strong positive two‐way relationship with growth in services, industry and manufacturing. It is essential that issues affecting these sectors are resolved to help attract more FDI. Direct efforts aimed at improving the agriculture sector, such as issues of land, credit and access to markets, among others, are essential in attracting FDI, as the sector was found to be detrimental to the attraction of FDI, but FDI boosts the growth of the sector. We expect that the outcome of this study will aid policy‐makers to embark on varied growth measures, especially at a less disaggregated level. Such consented growth efforts will yield a commensurate amount of FDI into SSA. 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