he slope of the AE curve is .80. What is the multiplier? Everything else the same, by how much
does equilibrium aggregate expenditure increase if
a) exports increase from $1.75 trillion to $2.25 trillion. (8 marks)
b) government expenditure on goods and services decrease from $2.0 trillion to $1.8 trillion.
(6 marks)
c) investment increases from $1.2 trillion to $2.3 trillion. (6 marks)
Solution:
The slope of AE curve is the MPC = 0.80
Multiplier = "\\frac{1}{1 - MPC} = \\frac{1}{1 - 0.8} = \\frac{1}{0.2} = 5"
The Multiplier = 5
a.). "\\triangle" Exports = 2.25 – 1.75 = 0.5
"\\triangle AE = \\triangle Exports\\times Multiplier = 0.5\\times 5 = 2.5"
The equilibrium aggregate expenditure will increase by $2.5 trillion dollars.
b.). "\\triangle" G = 1.8 – 2.0 = -0.2
"\\triangle AE = \\triangle G\\times Multiplier = -0.2\\times 5 = -1"
The equilibrium aggregate expenditure will decrease by $1 trillion dollars.
c.). "\\triangle" I= 2.3 – 1.2 = 1.1
"\\triangle AE = \\triangle I\\times Multiplier = 1.1\\times 5 = 5.5"
The equilibrium aggregate expenditure will increase by $5.5 trillion dollars.
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