Problem 14-12 (algo) 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 Y* = 48,620 a. Find a numerical equation relating planned aggregate expenditure to output and to the real interest rate. PAE= 33000 * 74000 + 0.50 Y 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: 6 %

ECON MACRO
5th Edition
ISBN:9781337000529
Author:William A. McEachern
Publisher:William A. McEachern
Chapter9: Aggregate Demand
Section: Chapter Questions
Problem 3.7P
Question
Problem 14-12 (algo)
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
Y* = 48,620
a. Find a numerical equation relating planned aggregate expenditure to
output and to the real interest rate.
PAE= 33000 *
74000
+
0.50
Y
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:
6 %
Transcribed Image Text:Problem 14-12 (algo) 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 Y* = 48,620 a. Find a numerical equation relating planned aggregate expenditure to output and to the real interest rate. PAE= 33000 * 74000 + 0.50 Y 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: 6 %
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