Consider a Keynesian IS-LM model for national income: Y = C(Y−T) + I (r) + G L(r,Y)= M³ IS: LM: where we consider Y and r as the endogenous variables and G, M³, and T as the exogenous variables. (a) Find the effect of a lump-sum tax, T, change on Y, i.e., OY/OT, using the implicit function theorem.

ENGR.ECONOMIC ANALYSIS
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2. Consider a Keynesian IS-LM model for national income:
Y = C(Y-T) + I (r) + G
L(r,Y)= M³
IS:
LM:
where we consider Y and r as the endogenous variables and G, M³, and T as the
exogenous variables.
(a)
Find the effect of a lump-sum tax, T, change on Y, i.e., OY/OT, using the
implicit function theorem.
Transcribed Image Text:2. Consider a Keynesian IS-LM model for national income: Y = C(Y-T) + I (r) + G L(r,Y)= M³ IS: LM: where we consider Y and r as the endogenous variables and G, M³, and T as the exogenous variables. (a) Find the effect of a lump-sum tax, T, change on Y, i.e., OY/OT, using the implicit function theorem.
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Step 1

IS relation depicts the locus of of points at which goods market is in equilibrium .

LM relation represents the locus of points at which money market is in equilibrium . Intersection of these two curves provide short term equilibrium point in economy .

 

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