1. Explain how the long-run values of (r, i) are determined before the vaccine news shock. 2. Which, if any, of the graphs from Appendix A best depicts the long-run change in the interest rate(s) due to the vaccine news shock? Explain. 3. Explain how the long-run values of (Y, P) are determined before the vaccine news shock.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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SECTION A The following economy applies to questions 1-3. Assume an economy in which the con-
sumption (C) and investment (I) functions are given by
C = 100 + 0.5 · (Y – T)
I = 500 – 1000 -r
where Y is real output and r is the real interest rate. Government purchases and taxes are
Ğ = 500, Ť = 100.
The LM (money market equilibrium) curve is
M
Y
%3D
P
5i
where P is the price level and i is the nominal interest rate. The Central Bank (CB) is initially supplying
M = 8000 units of money, and expected inflation is n° = 0.
Assume that the long-run equilibrium level of output is Ý = 2000. Short-run equilibrium output is initially
at the same level (Y = 2000).
Suddenly, news of a new world-beating super-vaccine raises expected inflation to nº = 0.05.
Question 1 Derive the long-run equilibrium values of output Y, consumption C, private and public
savings Sprivate and Spublic, investment I, the real and nominal interest rates (r, i) and price P, before and
after the vaccine news shock. In particular:
1. Explain how the long-run values of (r, i) are determined before the vaccine news shock.
2. Which, if any, of the graphs from Appendix A best depicts the long-run change in the interest rate(s)
due to the vaccine news shock? Explain.
3. Explain how the long-run values of (Y, P) are determined before the vaccine news shock.
Transcribed Image Text:SECTION A The following economy applies to questions 1-3. Assume an economy in which the con- sumption (C) and investment (I) functions are given by C = 100 + 0.5 · (Y – T) I = 500 – 1000 -r where Y is real output and r is the real interest rate. Government purchases and taxes are Ğ = 500, Ť = 100. The LM (money market equilibrium) curve is M Y %3D P 5i where P is the price level and i is the nominal interest rate. The Central Bank (CB) is initially supplying M = 8000 units of money, and expected inflation is n° = 0. Assume that the long-run equilibrium level of output is Ý = 2000. Short-run equilibrium output is initially at the same level (Y = 2000). Suddenly, news of a new world-beating super-vaccine raises expected inflation to nº = 0.05. Question 1 Derive the long-run equilibrium values of output Y, consumption C, private and public savings Sprivate and Spublic, investment I, the real and nominal interest rates (r, i) and price P, before and after the vaccine news shock. In particular: 1. Explain how the long-run values of (r, i) are determined before the vaccine news shock. 2. Which, if any, of the graphs from Appendix A best depicts the long-run change in the interest rate(s) due to the vaccine news shock? Explain. 3. Explain how the long-run values of (Y, P) are determined before the vaccine news shock.
Appendix A Graphs for Q1.2
Real
Interest
Rate
Real
Interest
Rate
I(r)
r
r'
I(r)
r'
I(r)'
Savings/
Investment
Savings/
Investment
S
S'
(a)
(b)
Real
Nominal
IS
IS'
Interest
IS
IS'
Interest
Rate
Rate
LM
LM
r'
i'
i=r
r
r'
GDP
GDP
Y
Y'
Y
Y'
(c)
(d)
Transcribed Image Text:Appendix A Graphs for Q1.2 Real Interest Rate Real Interest Rate I(r) r r' I(r) r' I(r)' Savings/ Investment Savings/ Investment S S' (a) (b) Real Nominal IS IS' Interest IS IS' Interest Rate Rate LM LM r' i' i=r r r' GDP GDP Y Y' Y Y' (c) (d)
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