up from (17b), since labor hours worked are increased. Consumption and
nonhuman wealth unambiguously rise.17 The stock of net foreign assets may
rise or fall. Domestic output and national income are increased.
Source-based regime
As in the long-run n = r* — ρ from (15), the steady state economy is
described by
Un(c,r---p) = (1 - τι)w(τk)T'(r* - P) + k + b, (18a)
Uc(c,r* — ρ)
k = κ(τ k )[1 — T (r* — ρ)], (18b)
[ρ + ∕ιτ k r ʌ ]k + ρb + w(τ k )[1 — T (r* — p)] = c + g. (18c)
(1 — τk)
A change in τl reproduces the same effects obtained under the residence-
based taxation of wealth income. By raising the cost of capital, a hike in τk ,
17The consequences on c and a can be derived as follows. Keeping τl fixed, (17a) and
(17c) can be written as
c = z(a; τa), za > 0; zτa < 0; (17a’)
c = c(a,τa),ca > 0; cτa > 0; (17c’)
where U2 = [UnUcn — UcUnn + Ue2(1 — τ ι)w*T "]
< 0;
za (UeUen — UnUee) ; zτa (UeUen — UnUee)
Ca = (ρ + τar*) > 0; Cτa = (a + w*T')r* > 0.
Totally differentiating (17a’) and (17c’), the following multipliers are obtained
dc = (zacτa — cazτa ) > 0; da = (cτa — zτa ) > 0;
dτa (Za — Ca) ’ dTa (zα — Ca) ’
where the condition za >ca , assumed to be satisfied, ensures saddle-point stability.
17