Assume that an economy is represented by the following system of equation: C = C₁(Y-T) I= bo + b₂Yb₂l Mª P =C-a*t G = Go T = To Assume that a, bo, b₁,b₂, and c₁ are all positive and that b₁ + b₂ < 1. For simplicity assume that P = 1 Important: Note that unlike in the short run model we have saw in class, money demand depends on consumption and not on total output

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
QUESTION ONE
Assume that an economy is represented by the following system of equation:
C = C₁(Y-T)
I = bo + b₂Yb₂i
Ma
P
= C-a *i
G = Go
T = To
Assume that a, bo, b₁,b₂, and c₁ are all positive and that b₁ + b₂ < 1. For simplicity assume that P = 1
Important: Note that unlike in the short run model we have saw in class, money demand depends on
consumption, and not on total output.
A. Derive an equation for the aggregate demand or the IS-curve in this closed economy and derive
an expression for the slope of the IS as showing the relationship between interest rate and
output
B. Derive an equation for the LM curve and derive an expression for the slope of an LM curve and
show the relation between interest rate and output
C. Find an expression for equilibrium output and interest rates using answers in questions A and B.
Transcribed Image Text:QUESTION ONE Assume that an economy is represented by the following system of equation: C = C₁(Y-T) I = bo + b₂Yb₂i Ma P = C-a *i G = Go T = To Assume that a, bo, b₁,b₂, and c₁ are all positive and that b₁ + b₂ < 1. For simplicity assume that P = 1 Important: Note that unlike in the short run model we have saw in class, money demand depends on consumption, and not on total output. A. Derive an equation for the aggregate demand or the IS-curve in this closed economy and derive an expression for the slope of the IS as showing the relationship between interest rate and output B. Derive an equation for the LM curve and derive an expression for the slope of an LM curve and show the relation between interest rate and output C. Find an expression for equilibrium output and interest rates using answers in questions A and B.
D. There is a sudden drop in business confidence, and firms decide suddenly to invest less for any
level of output and interest rates. From this question onward, the new behavior of firms obeys
the following equation:
I = b0 A + b₁Y - b₂i with A> 0
Find the new IS relation (call it IS₁). Show graphically the new equilibrium output and interest
rates. Call the new equilibrium output Y1.
E. Now suppose the government wants to counterbalance the effect of the drop in investors'
confidence on GDP using government spending as a policy instrument. Should the government
increase or decrease G? What new level of government spending G1 should the government
choose to completely offset the effect of lower business confidence?
F. Suppose now the government cannot use fiscal instruments (G or T) because Congress would
not allow it. The Central Bank decides to use monetary policy to restore the original equilibrium
output Yo. Should the Central Bank increase or decrease M,? Draw the new equilibrium after the
change in money supply.
Transcribed Image Text:D. There is a sudden drop in business confidence, and firms decide suddenly to invest less for any level of output and interest rates. From this question onward, the new behavior of firms obeys the following equation: I = b0 A + b₁Y - b₂i with A> 0 Find the new IS relation (call it IS₁). Show graphically the new equilibrium output and interest rates. Call the new equilibrium output Y1. E. Now suppose the government wants to counterbalance the effect of the drop in investors' confidence on GDP using government spending as a policy instrument. Should the government increase or decrease G? What new level of government spending G1 should the government choose to completely offset the effect of lower business confidence? F. Suppose now the government cannot use fiscal instruments (G or T) because Congress would not allow it. The Central Bank decides to use monetary policy to restore the original equilibrium output Yo. Should the Central Bank increase or decrease M,? Draw the new equilibrium after the change in money supply.
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Knowledge Booster
Federal Reserve System
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education