Three sector economy
Injections- Investment + Govt spending
Leakages/ Withdrawl- Savings + Taxation
K= 1/MPW
Two sector: K=1/MPS Y=C+S Injections= Leakages Invt=savings I=S
Y= C+I
Three sector: K=1/MPS+ MRT Y=C+I+G
MRT= change in tax/ Change in income= 20/100= .2
I+G= S+T
Four sector
Injections- Investment+ Govt spending+ Exports
Leakages- Savings + Taxation + Imports
K= 1/MPS +MRT+ MPM
MPM= change in imports/ Change in income
Y= C+I+G+(X-M)
I+G+X= S+T+M
K=2
L=100
Fall in income= 200 (Backward action of multiplier)
Increase in income- forward action of multiplier
Multiplier is a two edged sword.
C= a + bY
C= consumption
a= autonomous consumption (at zero income level)- disavings
b= MPC
Y= disposable income
APC= C/Y
APS= S/Y
APC+ APS=1
Y= C + S
MPC + MPS=1