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Munich Personal RePEc Archive

Diaspora transfers and economic volatility

Jellal, Mohamed

Al Makrîzi institut D’économie, Rabat , Morocco

12 July 2014

Online at https://mpra.ub.uni-muenchen.de/57288/

MPRA Paper No. 57288, posted 13 Jul 2014 23:01 UTC

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𝑈 = 1 − 𝛽 𝐶𝑀−𝛿 +𝛽𝐶𝐹−𝛿

1 𝛿

𝐶𝑀 = 𝑊 − 𝑇 𝐶𝐹 = 𝑤 +𝑇 𝐶𝑀 𝑊

𝐶𝐹

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𝑤 𝑇

𝑈 = 1− 𝛽 𝐶𝑀−𝛿 +𝛽𝐶𝐹−𝛿

1 𝛿

𝐶𝑀 = 𝑊 − 𝑇 𝐶𝐹 = 𝑤 + 𝑇

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𝑇 = 𝑊−𝜑𝑤

1+𝜑 𝜑 = 𝛽

1−𝛽

1+1𝛿

= 1−𝛽

𝛽

1 1+𝛿

𝛽

𝛽

𝑈 = 1 − 𝛽 𝐶𝑀−𝛿 +𝛽𝐶𝐹−𝛿

1 𝛿

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1 1+𝛿

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𝑌 = 𝐴(𝐹 )𝐾𝛼𝐿1−𝛼

𝐹 = 𝑓 + 𝜖 𝑓 𝜖

𝜖~𝑁(0,𝜎2)

𝐹 = 𝑓 −0.5𝜌𝜎2 𝜌 𝜎2

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𝑌 = 𝐴(𝑓 − 0.5𝜌𝜎2)𝐾𝛼𝐿1−𝛼

𝑤 = 𝜕𝑌

𝜕𝐿 = 𝜕

𝜕𝐿 (𝐴 𝑓 −0.5𝜌𝜎2 𝐾𝛼𝐿1−𝛼)

𝑤 = 𝜕𝑌

𝜕𝐿 = 1 − 𝛼 𝐴(𝑓 −0.5𝜌𝜎2) 𝐾

𝐿 𝛼

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𝑇 = 𝑊−𝜑 1−𝛼 𝐴(𝑓−0.5𝜌𝜎

2) 𝐾𝐿 𝛼

1+𝜑 𝜑 = 1−𝛽

𝛽

1 1+𝛿

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𝜕𝑇

𝜕𝑓 = −𝜑 1 − 𝛼 𝐴′(𝑓 − 0.5𝜌𝜎2) 𝐾𝐿 𝛼

1 + 𝜑 < 0

𝜕𝑇

𝜕𝜎2 =

0.5𝜌𝜑 1− 𝛼 𝐴′(𝑓 −0.5𝜌𝜎2) 𝐾𝐿 𝛼

1 +𝜑 > 0

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