O Modelo GSMS goods side/money side (lado real-lado monetário)
da análise macroeconômica
Equação de troca
𝑀×𝑉 =𝑃 ×𝑇
Demanda pela moeda
𝑀 = π‘˜π‘ƒπ‘Œπ‘Ÿ
𝑀 = π‘˜π‘ƒπ‘‡
Lado monetário e lado real
𝑀𝑉
=𝑄
𝑃
Liquidez macroeconômica
𝑓(π‘ž) =
1
𝑝
Equação de troca e renda
𝑀×𝑉 =𝑄×𝑃 = π‘Œ
Amliação
𝑄 × π‘ƒ = π‘Œ = 𝐢 + 𝐼 + 𝐺 = 𝑃𝐢 × π‘„πΆ + 𝑃𝐼 × π‘„πΌ + 𝑃𝐺 × π‘„πΊ + 𝑃𝐸𝑋 × π‘„πΈπ‘‹ βˆ’ 𝑃𝐼𝑀 × π‘„πΌπ‘€
Liquidez macroeconômica
𝑀𝐿 = 𝑀𝐡 × π‘šπ‘ × π‘‰
Equação completa
𝐡𝑀 × π‘šπ‘ × π‘‰ = 𝑄 × π‘ƒ = π‘Œ = 𝐢 + 𝐼 + 𝐺 = 𝑃𝐢 × π‘„πΆ + 𝑃𝐼 × π‘„πΌ + 𝑃𝐺 × π‘„πΊ …
Versaõ dinâmica
𝑔𝑀 + 𝑔𝑉 = 𝑔𝑄 + πœ‹
πœ‹ = 𝑔𝑀𝐿 βˆ’ 𝑔𝑄
πœ‹ = (𝑔𝑀𝐡 + π‘”π‘šπ‘ + 𝑔𝑣 ) βˆ’ (𝑔𝑄𝑛 + 𝑔𝑄𝑐)
Condição para Ο€=0):
(𝑔𝑀𝐡 + π‘”π‘šπ‘ + 𝑔𝑣 ) = (𝑔𝑄𝑛 + 𝑔𝑄𝑐)
Renda nacional
π‘”π‘Œ = 𝑔𝑄 + πœ‹ = 𝑔𝑄𝑛 + 𝑔𝑄𝐢 + πœ‹
Taxa de inflação:
πœ‹ = (𝑔𝑀𝐡 + π‘”π‘šπ‘ + 𝑔𝑣 ) βˆ’ (𝑔𝑄𝑛 + 𝑔𝑄𝑐)
Table 1
The GS/MS model as a classification tool of macroeconomic configurations
Macroeconomic
liquidity (ML)
0
PLG
Cyclical production Natural production
frontier (CPF)
frontier (NPF)
β†˜
β†’
MPI
β†—
↑
0
MHI
β†—
β†–
←
MPD
↙
↓
0
DD
↙
↙
←
IS
0
↑
0
IB
β†—
↑
0
Table 2
Macroeconomic configurations in terms of the variables of the GS/MS model
gMB
gmb
gV
gQc
gQn
Ο€
Q
Y
PLG
0
0
0
+
+
-
+
0
MPI
+
+
0
0
0
+
0
+
MHI
+
+
+
-
-
+
-
+
MPD
-
-
-
-
0
-
-
-
DD
-
-
-
-
-
-
-
-
IS
0
0
0
-
-
+
-
-
IB
+
+
+
+
0
+
+
+
PLG: Productivity-led (deflationary) economic growth – MPI: Monetary price inflation - MHI:
Monetary hyperinflation – MPD: Monetary price deflation – DD: Deflationary depression – IS:
Inflationary stagnation (stagflation) - IB – Inflationary boom with g: growth rate – MB:
Monetary base – mb: banking multiplier – V: velocity of circulation – Qc: cyclical production –
Qn: natural production – Ο€: price inflation rate – Q: Current output – Y: nominal national
income. The arrows in table 1 indicate direction of the moves of the curves
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Apostila Enero 2014 - Continental Economics