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Consider Two Economies with the Following IS Curves, Denoted 1 Y~1t=aˉbˉ1(Rtrˉ)\tilde { Y } _ { 1 t } = \bar { a } - \bar { b } _ { 1 } \left( R _ { t } - \bar { r } \right)

question 36

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Consider two economies with the following IS curves, denoted 1 and 2:
IS1: Y~1t=aˉbˉ1(Rtrˉ) \tilde { Y } _ { 1 t } = \bar { a } - \bar { b } _ { 1 } \left( R _ { t } - \bar { r } \right)
IS2: Y~2t=aˉbˉ2(Rtrˉ) \tilde { Y } _ { 2 t } = \bar { a } - \bar { b } _ { 2 } \left( R _ { t } - \bar { r } \right)
Given these two curves, the economies are identical except that they respond to interest rate changes differently. Suppose we assume aˉ=0,bˉ1=1,bˉ2=0.5,Rt=rˉ=5%\bar { a } = 0 , \bar { b } _ { 1 } = 1 , \bar { b } _ { 2 } = 0.5 , R _ { t } = \bar { r } = 5 \% ) If the real interest rate in each economy falls to Rt=4%R _ { t } ^ { \prime } = 4 \%
Then:


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