21. Consider the following Keynesian model in macroeconomics: Y = C[(1 – t)(Y + B/P)]+I(r, Y) + G, M/P = L(Y, r), where Y (output) and r (interest rate) are endogenous and P (price), G (government expenditure), 1 (tax rate), M (money supply) and B (government bonds) are exogenous. C, I and L are functions for consumption, investment and money demand respectively. Using Cramer's rule, find the following partial derivatives in studying the comparative statics of the model. (a) aY/aG, (b) ar/aM, (c) aY/aB. What assumptions do you have to make in order for the model to work?

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21. Consider the following Keynesian model in macroeconomics:
Y = C[(1 – 1)(Y + B/P)]+I(r, Y)+ G,
M/P = L(Y, r),
where Y (output) and r (interest rate) are endogenous andP (price), G
(government expenditure), t (tax rate), M (money supply) and B (government
bonds) are exogenous. C, I and L are functions for consumption, investment
and money demand respectively. Using Cramer's rule, find the following partial
derivatives in studying the comparative statics of the model.
(a) aY/aG,
(b) ar/aM,
(c) aY/aB.
What assumptions do you have to make in order for the model to work?
Transcribed Image Text:21. Consider the following Keynesian model in macroeconomics: Y = C[(1 – 1)(Y + B/P)]+I(r, Y)+ G, M/P = L(Y, r), where Y (output) and r (interest rate) are endogenous andP (price), G (government expenditure), t (tax rate), M (money supply) and B (government bonds) are exogenous. C, I and L are functions for consumption, investment and money demand respectively. Using Cramer's rule, find the following partial derivatives in studying the comparative statics of the model. (a) aY/aG, (b) ar/aM, (c) aY/aB. What assumptions do you have to make in order for the model to work?
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