The following set of equations describe an economy: C = 16,000+ 0.5 (YT) - 50,000r IP = 7,000 - 24,000r G = 8,200 NX = 1,800 T = 8,500 48,620 Y* = a. Find a numerical equation relating planned aggregate expenditure to output and to the real interest rate. PAE= b. At what value should the Fed set the real interest rate to eliminate any output gap? (Hint. Set output Yequal to the value of potential output given above in the equation you found in part a. Then solve for the real interest rate that also sets planned aggregate expenditure equal to potential output.) Instructions: Enter your response as a whole number. Real rate of interest: %

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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The following set of equations describe an economy:
C = 16,000+ 0.5 (YT) - 50,000r
IP = 7,000 - 24,000r
G = 8,200
NX = 1,800
T = 8,500
48,620
Y* =
a. Find a numerical equation relating planned aggregate expenditure to output and to the real interest rate.
PAE=
b. At what value should the Fed set the real interest rate to eliminate any output gap? (Hint. Set output Yequal to the value of potential
output given above in the equation you found in part a. Then solve for the real interest rate that also sets planned aggregate
expenditure equal to potential output.)
Instructions: Enter your response as a whole number.
Real rate of interest:
%
Transcribed Image Text:The following set of equations describe an economy: C = 16,000+ 0.5 (YT) - 50,000r IP = 7,000 - 24,000r G = 8,200 NX = 1,800 T = 8,500 48,620 Y* = a. Find a numerical equation relating planned aggregate expenditure to output and to the real interest rate. PAE= b. At what value should the Fed set the real interest rate to eliminate any output gap? (Hint. Set output Yequal to the value of potential output given above in the equation you found in part a. Then solve for the real interest rate that also sets planned aggregate expenditure equal to potential output.) Instructions: Enter your response as a whole number. Real rate of interest: %
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