IFG**=τN -γ
IFG
τI
θτN
IFG
θ
θ-1
(10)
DI**=
τι
Θtn
τIFG
(11)
τ
D**= I
α-zI
z1K
α-zI
τI
θτN
τIFG
θ-1
and
(12)
1
αK τ θ-1 τ
I ** = α----τ
(13)
α - z1 L θτ'NG J α - z1
By using θ<1,γ>0,τINFG < τIFG and comparing directly the equilibrium levels before and
after reforms, we get the following lemma.
Lemma 1: Under assumptions of sections 3.1 and 3.2., a reduction in tariff escalation through a
decrease in the tariff on the imported processed good and holding the tariff on imported raw
input constant, has the following impacts:
(i) total final good consumed increases, domestic final good consumed decreases, and imported
final good consumed increases;
(ii) total raw input used decreases, domestic input used increases, and imported input used
decreases.
Lemma 1 is illustrated in figure 1. The policy shock is shown in figure 1a, which induces a shift
of the derived demand DI to the left in figure 1.b, a resulting decrease in imports of the input,
and associated externality. The latter induces a shift of the domestic supply of the input D to the
right.
To compare total welfare before and after reforms, we decompose welfare in terms of
elements in final-good and input markets. First, welfare in the final-good market, the sum of