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Lecture 5 - Isabelle MEJEAN's home page

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Betts & Devereux (1996)<br />

Campa & Goldberg (2006)<br />

Firms’ behaviour<br />

LCP firms solve the following program:<br />

⎧<br />

⎪⎨<br />

⎪⎩<br />

max p(i),q(i) π LCP (i) = p(i)c(i) + eq(i)c ∗ (i) − W A (c(i) + c∗ (i)<br />

( ) −σ<br />

s.t. c(i) = p(i)<br />

P nC<br />

( ) −σ<br />

c ∗ (i) = q(i)<br />

P (1 − n)C<br />

∗<br />

∗<br />

Optimal prices are thus given by:<br />

p(i) =<br />

q(i) =<br />

σ W<br />

σ − 1 A<br />

σ W<br />

σ − 1 Ae<br />

Under flexible prices, the law of one price holds: p(i) = eq(i).<br />

<strong>Isabelle</strong> Méjean <strong>Lecture</strong> 5

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