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Entry #32
C=Ca+cY
I = I
Y= C + I
Yo=Co+cYo+Io
Y1=Co+cY1+I1
Y1-Yo= Co-Co+cY1-cYo+I1-Io
Y1-Yo= c(Y1-Yo)+I1-Io
Y1-Yo-c(Y1-Yo) = I1+Io
(Y1-Yo) (1-c) = I1-Io
Y1-Yo = (I1-Io)* 1/(1-c)
Y = C + A
A = Y - C
A = Y - Ca - cY
A = - Ca + Y (1-c)
a= 1-c
A= -Ca + a Y
a = 1-c
k= 1/a
Y1-Yo= (I1-Io)* k
k = (Y1-Yo)/(I1-Io)
Where C is consumption, A is saving, Y is income, I investment, c the marginal propensity to consume, a the marginal propensity to save, and k the multiplier, "the impact of a 1-dollar change in exogenous expenditures on total output." (Samuelson Nordhaus "Economics" 18th edition, page 486)
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