102
ND
ANNUAL CONFERENCE ON TAXATION
25
when their foreign tax rates are less than U.S. tax
rates. The authors’ fi ndings suggest that foreign
subsidiaries in relatively lower tax jurisdictions
hold higher levels of cash than other foreign sub-
sidiaries of the same fi rm.
De Waegenaere and Sansing (2008) suggest that
fi rms owning foreign subsidiaries that have reached
their optimal level of investment in operating assets
and that are operating in low-tax countries are more
likely to designate their foreign earnings as PRE
and hold these earnings in the foreign subsidiary
as fi nancial assets. The following example illus-
trates the argument of De Waegenaere and Sansing
(2008). This example is borrowed from Bryant-
Kutcher et al. (2007). Assume that a foreign sub-
sidiary of a U.S. multinational invests an amount,
K, in foreign operating assets generating pre-tax
cash fl ows (and earnings) according to the func-
tion f(K) = 0.20(K) – 0.001(K
2
), so that increased
investment increases earnings, but at a decreasing
rate. Assume that the fi rm has an after-tax discount
rate equal to 4 percent, that the U.S. corporate tax
rate is 35 percent, and that the after-U.S.-tax risk-
free rate is 3.25 percent, which implies a pretax
risk-free rate of 5 percent. The fi rm faces a foreign
tax rate,
τ
F
, which is less than 35 percent. In this
case the fi rm should continue to reinvest in foreign
operating assets until the optimal investment level,
K*, is reached, where (1 –
τ
F
)f ′(K*) = 4 percent.
That is, the fi rm should keep investing in foreign
operating assets until the marginal after-foreign-
tax return on additional investment is equal to the
fi rm’s discount rate.
Further assume that two fi rms, H and L, are
operating in two foreign countries with differing
tax rates. The tax rate of Country H is 25 percent
and the tax rate of country L is 15 percent. Based
on these foreign tax rates and the fact that f ′(K) =
0.20 – 2(0.001)K, fi rm H will continue to reinvest
in foreign operating assets until K = 73, since (1
– 25%) f ′(73) = 4%, fi rm H’s discount rate. K of
73 will generate a before-tax return each year of
f(73) = 0.20(73) – 0.001(73
2
) = 9.27. Alternatively,
fi rm L will continue to reinvest in foreign operating
assets until K = 76, because (1 – 15%) f ′(76) = 4%,
which is fi rm L’s discount rate. Operating assets of
76 will generate a before-tax return each year of
f(76) = 0.20(76) – 0.001(76
2
) = 9.42.
De Waegenaere and Sansing (2008) study the
optimal repatriation strategy for a fi rm that has
reached investment level K* and will therefore
stop reinvesting future foreign earnings in foreign
operating assets. Firms that have reached K* face
two choices; they can either begin to repatriate all
future earnings as a taxable dividend to the U.S.
parent paying gross U.S. taxes at a 35 percent rate,
or reinvest the after-foreign-tax earnings in foreign
fi nancial assets that earn the risk free rate.
1
De Waegenaere and Sansing (2008) suggest that
the optimal repatriation strategy depends on the
relative size of (1) the after-foreign-tax risk-free
rate, and (2) the fi rm’s discount rate. Let R equal the
risk-free-rate and r equal the fi rm’s discount rate.
The repatriation decision depends on the relation-
ship between r and R(1 –
τ
F
). If the discount rate
is greater than the after-foreign-tax risk free rate,
so that r > R(1 –
τ
F
), the optimal decision is to
repatriate all future earnings as a taxable dividend
to the parent and to incur the 35 percent (gross) U.S.
tax. Using the example of fi rms H and L, assume
that fi rm H, with a foreign tax rate of 25 percent,
generates $20 of pretax foreign earnings, resulting
in $15 of after-tax earnings. Repatriations yield $13
to the U.S. parent after U.S. tax. Since the fi rm has
reached its optimal level of investment in operating
assets, if it retains the $15 abroad, it can reinvest
only at the 3.25 percent after-U.S.-tax risk-free rate.
This investment yields a perpetuity of 0.49 with a
present value of 0.49/0.04 = $12.19, which is less
than $13. Thus, the optimal policy for fi rm H is to
repatriate all future earnings from foreign operating
assets as a taxable dividend to the U.S. parent.
2
Alternatively, if the discount rate is less than
the after-foreign-tax risk-free rate,
3
so that r <
R(1 –
τ
F
), fi rm value is maximized if the foreign
earnings are held abroad in fi nancial assets. This is
the optimal decision despite the fact that the future
earnings from the fi nancial assets will be subject
to tax at the 35 percent U.S. tax rate. Now, assume
that fi rm L, with a foreign tax rate of 15 percent,
generates $20 of pretax foreign earnings, resulting
in $17 of after-tax earnings. Repatriation yields $13
after U.S. tax to the U.S. parent. Retaining the $17
abroad and reinvesting at the 3.25 percent after-
U.S.-tax risk-free rate yields an annual perpetuity
of 0.55 with a present value of 0.55/0.04 = $13.81,
which is more than $13. Therefore, the optimal
policy for fi rm L is to reinvest all future earnings
from foreign operating assets in foreign fi nancial
assets and not repatriate the foreign operating
earnings until a lower tax rate can be obtained for
repatriations.