How trade and investment agreements affect bilateral foreign direct investment: Results from a structural gravity model

Date01 December 2020
DOIhttp://doi.org/10.1111/twec.13002
Published date01 December 2020
AuthorHugo Rojas‐Romagosa,Henk L. M. Kox
World Econ. 2020;43:3203–3242. wileyonlinelibrary.com/journal/twec
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© 2020 John Wiley & Sons Ltd
Received: 17 September 2019
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Revised: 28 March 2020
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Accepted: 4 June 2020
DOI: 10.1111/twec.13002
ORIGINAL ARTICLE
How trade and investment agreements affect
bilateral foreign direct investment: Results from a
structural gravity model
Henk L. M.Kox1
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HugoRojas-Romagosa2
1KVL Economic Policy Research, Den Bosch, The Netherlands
2World Trade Institute, Universität Bern, Bern, Switzerland
KEYWORDS
foreign direct investment, preferential trade agreements, gravity model
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INTRODUCTION
We estimate the potential impact of preferential trade agreements (PTAs)—and other bilateral policies
that affect trade and investment—on the bilateral FDI stocks and flows between the countries signing
these agreements. Our key results are based on a structural gravity model of FDI that is applied to
bilateral FDI data from UNCTAD (2014), while controlling for the presence, heterogeneity and depth
of preferential trade agreements (PTAs), and other time-varying bilateral policies.
Starting in the 1990s, the world economy has experienced a large increase in the number of PTAs,
and also in their ‘depth’—measured by the number of their operative provisions.1 While stimulating
bilateral trade is the main focus of most PTAs, recent preferential trade agreements increasingly con-
tain provisions on bilateral investment between member states. However, the impact of PTAs on the
magnitude of foreign direct investments is not straightforward. Trade and FDI can either complement
or substitute each other, depending on the investment motivation (i.e., horizontal and vertical), the
specific industry and on the way in which the FDI provisions are shaped in the PTA. From a theoreti-
cal point of view, horizontal FDI—where firms replicate domestic activities in a foreign country—is
associated with FDI substituting for trade. Thus, in the presence of horizontal FDI, PTAs are expected
to decrease FDI flows. On the other hand, vertical FDI—where firms split activities between different
geographical regions—creates a complementary relationship between trade, PTAs and FDI (cf.
Markusen,2002). More recently, and, in part, due to the expansion and complexity of global value
chains (GVCs), other motives for FDI have been identified. For instance, export-platform FDI where
MNEs produce to export to third markets (Ekholm, Forslid, & Markusen,2007; Hanson, Mataloni, &
Slaughter,2005). Yeaple (2003) classifies mixed FDI motives as ‘complex FDI’. Baldwin and Okubo
1See for example, Dür et al. (2014), Hofmann et al. (2017), and Miroudot and Rigo (2019).
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(2014) develop the concepts of ‘horizontal-ness’ and ‘vertical-ness’ to systematically classify these
more complex forms of FDI. Horizontal-ness is related to large shares of local sales, while verti-
cal-ness is associated with large shares of local sourcing of intermediates.2 The links between trade
and FDI, especially the role of complementarity (vertical-ness) and substitutability (horizontal-ness),
most probably differ by industry. Hence, the industry composition of bilateral trade and FDI is also
likely to affect how PTAs impact bilateral FDI.
There has also been an increasing gap between the refinement of theoretical FDI models and the
availability of bilateral FDI data. The motivation or purpose of the investments is mostly not revealed,
and it can only be inferred in an indirect way. Industry decomposition of bilateral FDI is only possible
for a very small number of countries.3 Even the compilation of a consistent set of total bilateral FDI
data between country-pairs and at world level is a difficult task (IMF, 2003). It is common that two
partner countries report different bilateral FDI values. Thus, a detailed reconciliation of the data and
a compilation methodology is required. In this study, we employ such a compilation, done by the
UNCTAD (2014) database, which provides bilateral data on inward and outward FDI flows and
stocks.4
Since we cannot separate the FDI data between horizontal and vertical FDI, the expected relation
between PTAs, trade and FDI remains an empirical question. Bergstrand and Egger (2007) test a
model with three countries with export and FDI, and they find that regional integration has a positive
trade effect, but a negative effect on FDI. This suggests a substitutability relation between trade and
FDI. Other studies that employ panel data with a larger set of countries find the opposite results
(Anderson, Larch, & Yotov,2019, 2020; Chen,2009; Daude, Levy Yeyati, & Stein, 2003; Osnago,
Rocha, & Ruta,2017). The latter studies find empirical support for a complementary relation between
trade and FDI, which might well include the creation or expansion of global value chains via PTAs.5
The analytical framework of our own paper is closest to Anderson etal.(2019), in which they develop
a structural gravity module for bilateral FDI as part of a larger general equilibrium model. However,
there are four important differences between our paper and theirs. First, our paper fully focuses on the
direct impact of PTAs on bilateral FDI using a partial equilibrium model, whereas they want to obtain
the general equilibrium effects of PTAs on welfare.6 Secondly, we allow for the possibility that the
relative FDI friction costs, that is the multilateral resistance terms with respect to FDI, may differ from
2Combining these concepts, Baldwin and Okubo (2014) create a two-dimensional space that accommodates for all FDI
motives and distinguish six main FDI motives: pure horizontal, pure vertical, pure export-platform, local assembly (tariff-
jumping), resource extraction and networked FDI (global value chains).
3Alfaro and Charlton (2009) identify between vertical and horizontal FDI flows by employing the implicit information in
national input–output tables. An alternative database, which has information at the industry level and has been used in some
papers to estimate FDI gravity models is the fDiMarkets database (www.fdima rkets.com) of the Financial Times. However,
this database has two main limitations: it only reports announced (instead of actual) investments and it only has information
on green-field investment rather than on total FDI. These serious database limitations do not allow for the country-wide
analysis we conduct in this paper.
4In particular, our main estimations employ the inward FDI stock data, which fluctuate less and are in general more reliable
than year-to-year FDI flow data. Nonetheless, we also use inward FDI flows to assess the robustness of our results.
5Osnago etal.(2017), in particular, test the effect of deep PTAs on vertical FDI, and not surprisingly, they find a positive
relation. Like our paper, they also focus on the depth of PTAs. However, we use a global database that includes both
horizontal and vertical bilateral FDI.
6The aim of the Anderson etal.(2019, 2020) papers is to obtain the PTAs' general equilibrium effects through trade and FDI
effects on real income. We want to focus on the effect of PTAs on FDI, and we are not concerned with the trade nor the
general equilibrium effects that translate into welfare changes.
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the bilateral trade-costs frictions. In Anderson etal.(2019), the multilateral resistance terms are exclu-
sively based on the bilateral trade-cost frictions. Following Bergstrand and Egger (2007) and
Bergstrand and Egger (2010), both trade and FDI flows are driven by a ‘common process’. According
to these authors, this implies that including trade flows as explanatory variables in a (partial equilib-
rium) gravity equation for FDI flows (or vice versa) is a serious mis-specification of the estimations
and it is likely to create an endogeneity bias. Therefore, we do not use trade flows in our FDI gravity
estimations. Employing only FDI data is sufficient for our purposes to assess whether PTAs have a
significant impact on bilateral FDI patterns. Thirdly, we allow for the heterogeneity (depth) of PTAs,
while they only include a dummy variable for the presence of any PTA. The fourth and final difference
is that we generate a larger number of sensitivity analyses to confirm the robustness of the effect of
PTAs on FDI.
The contribution of this paper is that we present a stand-alone partial equilibrium model explaining
bilateral FDI patterns. We empirically estimate the sign and magnitude of the effect that preferential
trade agreements have on FDI, conditional on the depth of the PTA and the presence of other bilat-
eral or multilateral policies—for example being member of the EU single market, the presence of a
bilateral investment treaty. We find that PTAs have a significant and positive effect on bilateral FDI of
around 30%. This effect is slightly larger (35%) for the deepest PTAs, but this result is not statistically
different from just having any PTA—irrespective of its depth—and it is not robust in many alterna-
tive specifications. Therefore, an important finding of this paper is that we do not find that signing a
comprehensive PTA has an empirically larger effect than just signing a ‘shallow’ PTA. On the other
hand, we find that country-pairs that belong to the EU single market experience a very substantial
increase in bilateral FDI of around 135%. Therefore, we argue that it is crucial to control for the EU
single market, when estimating the impact of deep PTAs. Otherwise, the effect of deep PTAs (when
assuming that the EU single market is a deep PTA) is overstated. Finally, we find that the sign and
magnitude of the average PTA effect, of being member of the EU single market, and of participating in
a bilateral investment treaty (BIT), are robust to different econometric specifications. Indirectly, these
results can be interpreted as pointing to a higher relative importance of vertical over horizontal FDI,
by associating the trade cost reductions of PTAs to the nature of the PTA-FDI relation.
This paper is organised as follows. In Section2, we survey the theoretical background linking
PTAs with FDI. Section3 explains our analytical framework and econometric specification. The data
are presented in Section4, and our main structural gravity results are shown in Section5. In Section6,
we run several sensitivity analysis and we conclude in Section7.
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THEORETICAL BACKGROUND
Reviewing the literature on FDI determinants, Blonigen (2005) remarks: ‘Ideally, the FDI literature
would have an established model and empirical specification that lays out the primary long-run deter-
minants of FDI location’. He concludes however that such a model does not yet exist. Given the suc-
cess of the gravity trade model, one wonders why it has not yet become part of the standard empirical
toolkit for the analysis of international patterns in bilateral FDI. In a recent publication, Allen,
Arkolakis, and Takahashi (2020) generalise the gravity trade model by unifying a large set of trade
and geography models, showing that the properties of models within this framework depend crucially
on the value of two gravity constants (aggregate supply and demand elasticities). While their publica-
tion carries the title ‘Universal Gravity’, they do not extend their theory to FDI. This might not be a
coincidence. In this context, Blonigen (2005) again asserts: ‘As with trade flows, a gravity specifica-
tion actually fits cross-country data on FDI reasonably well. However, there is no similar paper to

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