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Lecture 5 - Isabelle MEJEAN's home page

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Betts & Devereux (1996)<br />

Campa & Goldberg (2006)<br />

Aggregate prices<br />

PPP holds under flexible prices<br />

P =<br />

P ∗ =<br />

" <br />

σ W 1−σ <br />

σ W ∗ 1−σ <br />

n<br />

+ (1 − n)s e<br />

(1 − n)(1 − s) e<br />

σ − 1 A<br />

σ − 1 A ∗<br />

" <br />

σ W 1−σ 1 σ W<br />

ns<br />

+ n(1 − s)<br />

σ − 1 Ae<br />

e σ − 1 A<br />

1−σ <br />

(1 − n)<br />

σ<br />

σ − 1<br />

σ<br />

σ − 1<br />

W ∗<br />

A ∗ 1−σ<br />

W ∗ # 1<br />

1−σ 1−σ<br />

A ∗<br />

⇒ P = eP ∗<br />

PPP does not hold under sticky prices when some firms price in LCP:<br />

⇒<br />

ˆP = (1 − n)(1 − s)ê<br />

ˆP ∗ = −n(1 − s)ê<br />

ˆP − ˆP ∗ = (1 − s)ê ≠ ê<br />

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

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