Question 2 Assume the following model of a closed economy, with the price level P fixed at 1.0 C= 0.6 (Y – T) I = 500 – 50r Mg = 450 T = 200 G = 250 Mp = 2Y – 200r Where C is consumption, Y is output, T is taxes, I is investment, r is the interest rate, G is government spending, Mş is the money supply, and Mp is money demand. a) Derive formulas for the IS and LM schedules, showing Y as a function of r alone. b) Calculate the short-run equilibrium values of Y, C, I, and r. c) Suppose that the central bank doubles the money supply to 900. Draw a diagram, and explain in words what will happen. Find the new values of Y, r, and I.
Question 2 Assume the following model of a closed economy, with the price level P fixed at 1.0 C= 0.6 (Y – T) I = 500 – 50r Mg = 450 T = 200 G = 250 Mp = 2Y – 200r Where C is consumption, Y is output, T is taxes, I is investment, r is the interest rate, G is government spending, Mş is the money supply, and Mp is money demand. a) Derive formulas for the IS and LM schedules, showing Y as a function of r alone. b) Calculate the short-run equilibrium values of Y, C, I, and r. c) Suppose that the central bank doubles the money supply to 900. Draw a diagram, and explain in words what will happen. Find the new values of Y, r, and I.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question

Transcribed Image Text:Question 2
Assume the following model of a closed economy, with the price level P fixed at 1.0
C = 0.6 (Y – T)
I= 500 – 50r
Ms = 450
T = 200
G= 250
Mp
= 2Y – 200r
Where C is consumption, Y is output, T is taxes, I is investment, r is the interest rate, G
is government spending, Mş is the money supply, and Mp is money demand.
a) Derive formulas for the IS and LM schedules, showing Y as a function of r alone.
b) Calculate the short-run equilibrium values of Y, C, I, and r.
c) Suppose that the central bank doubles the money supply to 900. Draw a diagram,
and explain in words what will happen. Find the new values of Y, r, and I.
d) Suppose now the money demand relationship was instead given by
Mp
2Y – 50r
P
What value of the money supply would result in the same outcome for Y and r
that was obtained in part b)? Suppose the central bank initially sets the money
supply at this value but then doubles it. What is the increase in Y that results from
this doubling? Why do you think it is greater than the increase in Y that resulted
from doubling the money supply in part c)?
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images

Knowledge Booster
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.Recommended textbooks for you


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON


Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON

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)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning

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-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education