Question

1. Suppose instead,c1+b1+g1= 0. Is the equilibrium in the goods market still possible? If so, what is the equilibrium output?                  2. Solve for the equilibrium output (Y) in terms of the exogenous variables:c0,c1,b0,b1,g0,g1andT.

Consider a model of the Goods Market characterized by the following equations: z = C+I+G Y C+I+G С Co + ci(Y – T) I bo + b1Y

Please explain each question and show the work!

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Answer #1

(1)

Since multiplier = 1 / [1 - (c1 + b1 + g1)],

If (c1 + b1 + g1) = 0,

Multiplier = 1 / 1 = 1

So, equilibrium is still possible. But in this case, equilibrium output will be the sum of all autonomous expenditures.

(2)

In equilibrium, Y = C + I + G

Y = c0 + c1(Y - T) + b0 + b1Y + g0 + g1Y

Y = c0 + c1Y - c1T + b0 + b1Y + g0 + g1Y

(1 - c1 - b1 - g1) x Y = c0 - c1T + b0 + g0

Y = (c0 - c1T + b0 + g0) / (1 - c1 - b1 - g1)

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