The demand for a commodity is given by Q = B₁ + B₁P+u, where Q denotes quantity, P denotes price, and u denotes factors other than price that determine demand. Supply for the commodity is given by Q=% + v, where v denotes factors other than price that determine supply. Suppose that u and u both have a mean of zero, have variances o2 and 2, and are mutually uncorrelated. Solve the two simultaneous equations to show how Q and P depend on u and v.

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
(a) The demand for a commodity is given by Q = Bo + B₁P+u, where Q
denotes quantity, P denotes price, and u denotes factors other than
price that determine demand. Supply for the commodity is given by
Q = % + v, where v denotes factors other than price that determine
supply. Suppose that u and u both have a mean of zero, have variances
o and o2, and are mutually uncorrelated.
Solve the two simultaneous equations to show how Q and P depend on
u and v.
(b) Derive the covariances between P and u in part (b). Is the least squares
estimator of slope coefficient 3₁ in the demand equation unbiased and
consistent?
Transcribed Image Text:(a) The demand for a commodity is given by Q = Bo + B₁P+u, where Q denotes quantity, P denotes price, and u denotes factors other than price that determine demand. Supply for the commodity is given by Q = % + v, where v denotes factors other than price that determine supply. Suppose that u and u both have a mean of zero, have variances o and o2, and are mutually uncorrelated. Solve the two simultaneous equations to show how Q and P depend on u and v. (b) Derive the covariances between P and u in part (b). Is the least squares estimator of slope coefficient 3₁ in the demand equation unbiased and consistent?
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
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