The economy is populated by 100 agents. Each agent has to divide 1 unit of timebetween work and leisure given the wage rate w paid on the labor market. In addition
The economy is populated by 100 agents. Each agent has to divide 1 unit of timebetween work and leisure given the wage rate w paid on the labor market. In addition
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
The economy is populated by 100 agents. Each agent has to divide 1 unit of timebetween work and leisure given the wage rate w paid on the labor market. In addition
to the salary, he or she also receives dividend a income of π = Π/100 (the total profit
of the firms Π is distributed equally among all the consumers in form of dividends)
Suppose that the government does not incur expenditures, so G=0.
The agent’s utility function depends on consumption (c) and leisure (l), and it is assumed
to satisfy u(c, l) = 0.5 ln(c) + 0.5 ln(l). On the other side of the market, there are
firms who hire workers and produce output. The representative firm operates with
a Cobb-Douglas production technology Y = zK^0.5N^0.5
, where z denotes the total
factor productivity, and K = 100 is a fixed amount of capital. Each of the firm’s
employees receives wage w, i.e. the total labor cost of the firm is equal to wN^d
Suppose that initially z = 1 (so the competitive equilibrium is the one we calculated
in class), but the economy is hit by a pandemic, which we can model as a decrease
in TFP: so z goes down to z = 0.5.
(a) What are the effects of this negative TFP shock on the equilibrium allocations
and prices? To obtain full credit, compute the value of all the endogenous
variables determined in equilibrium
(b) Does our model predict that the pandemic would cause a recession? What are
the effects of the pandemic in the level of employment? (ignore the fact that
some workers may get sick for the moment).
Now, suppose that the pandemic only affects the productivity of labor. This
can be modeled by letting z = 1 as in part a, but assuming that labor is less
productive,
Y = zK^0.5[ωN]^0.5
Assuming that the value of ω = 0.5, re-compute (a) and compare the new results
with your previous answer, providing some intuition.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps
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