solow.py

Created on February 19, 2025

513 Bytes

Cobb : Y=AK^alphaL^1-a
The capital accumulation equation obtained from the equality
S = I : k(d) = sk^alpha - (n+δ+ga)k
β =(1 − α)(n + δ + gA)
Etat stationnaire : k*= (sA/n+δ)^1/1-alpha
Croissance du PIB total=g+n 
wt = ct + st
dt+1 = (1+rt+1)st


the capital accumulation equation:
(1+n)kt+1 = st
steady state quand kt+1=kt 
Ct = Yt - I
kGR = (alpha/n+δ)^1/1-alpha
kGR = Total consumption at the steady state
kGR = k^α − (1 + n)k à dériver
k* = (s/n+gA+δ)^1/1-alpha
-  Si k∗<kGR : sous-accumule

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