If consumption is C=100+0.75Yd
Taxes is T=50+0.5Y
Export is X=200
Import is M=50+0.25Y
Government spending is G=150
Investment is I=200. Y is domestic income and Y is private disposable income. Use the multiplayer application to export, to explain how a 100 billion decline in demand for export could affect the economie's GDP/income
An export multiplier is a multiplier that applies to exports. The effect of a decline in demand by 100 billion on GDP/income will be computed by the export multiplier. Thus,
"M=\\frac{change\\space in\\space import\\space spending}{change\\space in\\space income}"
"=\\frac{0.25}{0.5}"
"=0.5"
Export multiplier"=\\frac{1}{(1-MPC)+M}"
"=\\frac{1}{(1-0.75)+0.5}"
"=1.33"
Where (1 – MPC) is marginal propensity to save (MPS) and M is marginal propensity to import.
The export multiplier shows that the GDP/income will be decreased by 1.33 billion with the decline in the 100-billion decline in the demand.
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