Volume 9 • 2022 • Number transnational corporations investment and development



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6 Data and empirical calibration
π
lrg
,
c
=
s
c
π
lrg
=
s
c
k
π

lrg
,
k
=
φ
L
L
c
k
L
k
+
φ
W
W
c
k
W
k
+ (1

φ
L

φ
W
)
R
c
k
R
k
k
π

lrg
,
k
PS
O
lrg
,
c
=
π
lrg
,
c

π

lrg
,
c
γ
c
=
h
,
h

=
c
γ
ch
=
max
PS
O
lrg
,
c
π
lrg
,
c
,
0
γ
ch
=
γ
c
µ
h
=
PS
IN
lrg
,
h
h
PS
IN
lrg
,
h
γ
ch
=
β
0
+
β
1
ETR
c
+
β
2
ETR
h
+
β
3
gravity
ch
+

ch
(10)
3
Following Garcia-Bernardo and Janský (2022), we set
φ
L
 = 
φ
W
 = 0.25
. Employees 
L
c
and unrelated-party revenues 
R
c
are observed in CbCR data. For their part, 
wages 
W
c
are obtained after multiplying the number of employees 
L
c
(from CbCR) 
with the average annual salary in country c in 2017 from the International Labour 
Organization.
11
Outward profit shifting from host country c is defined as the
11 
Missing salaries are predicted by a linear regression model with GDP and population as regressors:
ln(salary
c
) = 
α
0
 + 
α
1
 ln(GDP
c
)

α
2
 ln(population
c
) + 
ξ
c
 . R
2
 = 
0.931
.
GDP and population data are 
retrieved from the World Bank’s Development Indicators (accessed 13 December 2021). 


TRANSNATIONAL CORPORATIONS 
Volume 29, 2022, Number 2
118
difference between profits generated in c and profits reported in c
:
ETR

CO
c
=
1
π

lrg
,
c
π

lrg
,
c

CO
c
ETR

c
+
CO
c
ETR
c
(7)
= (1

CO
SHARE
c
)
ETR

c
+
CO
SHARE
c
ETR
c

ETR
FDI
,
CO
lrg
,
c
=

ETR
FDI
lrg
,
c

CO
SHARE
c
(
ETR

c

ETR
c
)
(8)

ETR
FDI
,
CO
c
=
ω
c

ETR
FDI
,
CO
lrg
,
c
(9)
6 Data and empirical calibration
π
lrg
,
c
=
s
c
π
lrg
=
s
c
k
π

lrg
,
k
=
φ
L
L
c
k
L
k
+
φ
W
W
c
k
W
k
+ (1

φ
L

φ
W
)
R
c
k
R
k
k
π

lrg
,
k
PS
O
lrg
,
c
=
π
lrg
,
c

π

lrg
,
c
γ
c
=
h
,
h

=
c
γ
ch
=
max
PS
O
lrg
,
c
π
lrg
,
c
,
0
γ
ch
=
γ
c
µ
h
=
PS
IN
lrg
,
h
h
PS
IN
lrg
,
h
γ
ch
=
β
0
+
β
1
ETR
c
+
β
2
ETR
h
+
β
3
gravity
ch
+

ch
(10)
3
where, symmetrically, negative values indicate inward profit shifting.
Let us assume that the profit shifting behaviour of MNEs is independent from their 
origin. For instance, the share of profits shifted from France to Ireland in the profits 
generated in France is the same for French, German or Italian MNEs operating in 
France. The share
γ
c
 
of the profits generated by foreign affiliates of MNEs in c that 
are shifted to OFCs is given by:
ETR

CO
c
=
1
π

lrg
,
c
π

lrg
,
c

CO
c
ETR

c
+
CO
c
ETR
c
(7)
= (1

CO
SHARE
c
)
ETR

c
+
CO
SHARE
c
ETR
c

ETR
FDI
,
CO
lrg
,
c
=

ETR
FDI
lrg
,
c

CO
SHARE
c
(
ETR

c

ETR
c
)
(8)

ETR
FDI
,
CO
c
=
ω
c

ETR
FDI
,
CO
lrg
,
c
(9)
6 Data and empirical calibration
π
lrg
,
c
=
s
c
π
lrg
=
s
c
k
π

lrg
,
k
=
φ
L
L
c
k
L
k
+
φ
W
W
c
k
W
k
+ (1

φ
L

φ
W
)
R
c
k
R
k
k
π

lrg
,
k
PS
O
lrg
,
c
=
π
lrg
,
c

π

lrg
,
c
γ
c
=
h
,
h

=
c
γ
ch
=
max
PS
O
lrg
,
c
π
lrg
,
c
,
0
γ
ch
=
γ
c
µ
h
=
PS
IN
lrg
,
h
h
PS
IN
lrg
,
h
γ
ch
=
β
0
+
β
1
ETR
c
+
β
2
ETR
h
+
β
3
gravity
ch
+

ch
(10)
3
We estimate that some $1,036 billion profits are shifted from non-OFCs toward 
OFCs, of which three quarters ($759 billion) originate from developed economies. 
Moreover, among these profits recorded in OFCs, about 25 per cent ($257 billion) 
are transferred by foreign affiliates, with the majority being instead shifted by 
domestic MNEs. Foreign affiliates operating in developing economies are estimated 
to artificially report about $108 billion in OFCs, corresponding to 42 per cent of 
all profits shifted by foreign affiliates worldwide. Yet, developing economies are 
relatively more exposed to international tax planning than developed economies, 
with the former transferring 18 per cent of their profits to OFCs, compared to 16 
per cent for developed economies (figure 5). Profit shifting is most pronounced in 
the least developed economies, with one quarter of their profits being moved to 
OFCs.
12
To complete the calibration of the bilateral profit shifting matrix, we allocate country- 
level outward profit shifting shares 
γ
c
 
to OFCs based on their relative size as the 
destination of shifted profits. Denote 
µ
h
 
the share of profits shifted to OFC h in total 
shifted profits:
ETR

CO
c
=
1
π

lrg
,
c
π

lrg
,
c

CO
c
ETR

c
+
CO
c
ETR
c
(7)
= (1

CO
SHARE
c
)
ETR

c
+
CO
SHARE
c
ETR
c

ETR
FDI
,
CO
lrg
,
c
=

ETR
FDI
lrg
,
c

CO
SHARE
c
(
ETR

c

ETR
c
)
(8)

ETR
FDI
,
CO
c
=
ω
c

ETR
FDI
,
CO
lrg
,
c
(9)
6 Data and empirical calibration
π
lrg
,
c
=
s
c
π
lrg
=
s
c
k
π

lrg
,
k
=
φ
L
L
c
k
L
k
+
φ
W
W
c
k
W
k
+ (1

φ
L

φ
W
)
R
c
k
R
k
k
π

lrg
,
k
PS
O
lrg
,
c
=
π
lrg
,
c

π

lrg
,
c
γ
c
=
h
,
h

=
c
γ
ch
=
max
PS
O
lrg
,
c
π
lrg
,
c
,
0
γ
ch
=
γ
c
µ
h
=
PS
IN
lrg
,
h
h
PS
IN
lrg
,
h
γ
ch
=
β
0
+
β
1
ETR
c
+
β
2
ETR
h
+
β
3
gravity
ch
+

ch
(10)
3
with
.
12 
These figures coincide with the conclusions reached by the Tax Justice Network et al. (2021) and 
Garcia-Bernardo and Janský (2022). Note that most of parent countries in CbCR data are developed 
economies. Therefore, it is not possible to infer profits shifted by MNEs headquartered in developing 
economies. This shortcoming, however, should not be a major problem as we expect most of large 
MNEs to be headquartered in developed countries.


A new framework to assess the fiscal impact of a global minimum tax on FDI
119
Alternative bilateral profit shifting shares
We construct two supplementary matrices. One is based on Tørsløv et al. (2021) 
and the other relies on the tax semi-elasticity of reported profits estimated by 
Heckemeyer and Overesch (2017). Tørsløv et al. (2021) exploit the gap between 
the (reported) profitability of local and foreign firms in OFCs to assess inward 
profit shifting in OFCs. They then assign profit shifting in OFCs to non-OFCs using 
excessive flows in high-risk services (Hebous and Johannesen, 2021). Heckemeyer 
and Overesch (2017) find that, all other things being equal, profits reported in a given 
country decrease by 0.8 per cent if the tax rate in that particular country increases 
by 1 pp. The tax semi-elasticity of reported profits and tax rate differentials between 
host countries and OFCs together deliver a set of profit shifting shares (Devereux 
et al., 2020; Hanappi and Cabral, 2020; OECD, 2020). See the annex for technical 
details and a discussion of the two methods.

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