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
𝑈 = 1 − 𝛽 𝐶𝑀−𝛿 +𝛽𝐶𝐹−𝛿 −
1 𝛿
𝐶𝑀 = 𝑊 − 𝑇 𝐶𝐹 = 𝑤 +𝑇 𝐶𝑀 𝑊
𝐶𝐹
𝑤 𝑇
𝑈 = 1− 𝛽 𝐶𝑀−𝛿 +𝛽𝐶𝐹−𝛿 −
1 𝛿
𝐶𝑀 = 𝑊 − 𝑇 𝐶𝐹 = 𝑤 + 𝑇
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
1 1+𝛿
𝑌 = 𝐴(𝐹 )𝐾𝛼𝐿1−𝛼
𝐹 = 𝑓 + 𝜖 𝑓 𝜖
𝜖~𝑁(0,𝜎2)
𝐹 = 𝑓 −0.5𝜌𝜎2 𝜌 𝜎2
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
𝑇∗ = 𝑊−𝜑 1−𝛼 𝐴(𝑓−0.5𝜌𝜎
2) 𝐾𝐿 𝛼
1+𝜑 𝜑 = 1−𝛽
𝛽
1 1+𝛿
𝜕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