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Consider a Keynesian model with consumption functionC = 100 + c(Y – T),              0<c<1where taxes T are given byT = 100 + tY,                   0<t<1 with marginal tax rate t. An increase in G will increase equilibrium output by the multiplierGroup of answer choices1/(1 – c – c*t)1/(1 – c + c*t)1/(1 – c*t)1/(1 – c)

Question

Consider a Keynesian model with consumption functionC = 100 + c(Y – T),              0<c<1where taxes T are given byT = 100 + tY,                   0<t<1 with marginal tax rate t. An increase in G will increase equilibrium output by the multiplierGroup of answer choices1/(1 – c – ct)1/(1 – c + ct)1/(1 – c*t)1/(1 – c)

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Solution

In the Keynesian model, the multiplier effect is given by the formula 1/(1 - MPC*(1 - MTR)), where MPC is the marginal propensity to consume (c in your equation) and MTR is the marginal tax rate (t in your equation).

So, in this case, the multiplier effect of an increase in government spending (G) on equilibrium output would be given by 1/(1 - c*(1 - t)).

Therefore, the correct answer is 1/(1 – c + c*t).

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