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The government in the cross model
Net taxes NT(Y) depends positively on real GDP in the cross model
In this model when national income increases, amount individuals pay in income taxes will increase. This is since income tax is specified as a percentage of total income. Other taxes may also increase when Y increases. Though government transfers to households will decrease. Thus net taxes NT will increase when Y increases.
Albeit NT depends on Y, is still under the control of government. NT may change even if Y doesn't change. This means that NT is part exogenous (as it may be controlled by the government) and part endogenous (as it would automatically change when Y changes). Thus we write NT(Y) but we should remember the exogenous nature of net taxes. Government savings, which is also part exogenous and partendogenous, depends positively on Y and we write:
SG(Y) = NT(Y) - G
y=c+c1(y-t0-t1y,r)+i+g
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