The following are exogenous (not directly affected by income): G = 11 I = 4 X = M = 0 The consumption function is: C = k + cY, where k = 3, c = 0.8 Now we have to take that tax into account. Here is a way to think about it: Look at the consumption function. It says if you give me one more dollar of income I will spend 80 cents of it (mpc = 0.8). BUT I can only spend what I receive. I can only spend my after-tax or disposable income. With a 10% tax, I don't receive Y I receive 90% of Y or Y*(1-t) where t = 10% or 0.1. Let's define disposable income as Yd where Yd = Y*(1-t). Therefore we restate our consumption function as C = k + cYd Now we have, in this case, C = k + cYd or C = 3 + 0.8Yd or C = 3 + 0.8*(Y*[1-0.1]) or C = 3 + 0.72Y. Now what is the equilibrium GDP?

The following are exogenous (not directly affected by income): G = 11 I = 4 X = M = 0 The consumption function is: C = k + cY, where k = 3, c = 0.8 Now we have to take that tax into account. Here is a way to think about it: Look at the consumption function. It says if you give me one more dollar of income I will spend 80 cents of it (mpc = 0.8). BUT I can only spend what I receive. I can only spend my after-tax or disposable income. With a 10% tax, I don't receive Y I receive 90% of Y or Y(1-t) where t = 10% or 0.1. Let's define disposable income as Yd where Yd = Y(1-t). Therefore we restate our consumption function as C = k + cYd Now we have, in this case, C = k + cYd or C = 3 + 0.8Yd or C = 3 + 0.8(Y[1-0.1]) or C = 3 + 0.72Y. Now what is the equilibrium GDP?

MACROECONOMICS FOR TODAY

10th Edition

ISBN:9781337613057

Author:Tucker

Publisher:Tucker

Chapter11: Fiscal Policy

Section: Chapter Questions

Problem 17SQ

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