in class, we looked at the CV and EV associated with changes in prices. The same measures can be used if wealth also changes; thus, for instance, if prices and wealth change from pº, wº) to (p¹, w¹), then the CV is e(p¹, v(p¹,w¹)) -e(p¹, v(pº, wº)). Consider the expenditure function e(p, u) = U P₁ + P₂ Let initial prices and wealth be pº = (1, 1) and wº = 1 respectively. (a) Find the indirect money-metric utility function e(p, v(p, w)). (b) Evaluate the EV and CV if p¹ = pº (i.e. prices remain the same) and wealth changes from wo to w¹ = 2. (c) Evaluate the EV and CV if prices change from pº to p² = (2, 1) and wealth changes from wo to w²2.5.

Economics:
10th Edition
ISBN:9781285859460
Author:BOYES, William
Publisher:BOYES, William
Chapter9: Aggregate Expenditures
Section: Chapter Questions
Problem 5E
icon
Related questions
Question

please teach  explain step by step

In class, we looked at the CV and EV associated with changes in prices. The same measures
can be used if wealth also changes; thus, for instance, if prices and wealth change from
(pº, wº) to (p¹, w¹), then the CV is e(p¹, v(p¹, w¹))-e(p¹, v(pº, wº)). Consider the expenditure
function
e(p, u) =
=
U
P₁ + P₂
Let initial prices and wealth be pº = (1, 1) and wº = 1 respectively.
(a) Find the indirect money-metric utility function e(p, v(p, w)).
(b) Evaluate the EV and CV if p¹ = pº (i.e. prices remain the same) and wealth changes
from wº to w¹ = 2.
(c) Evaluate the EV and CV if prices change from pº to p² = (2, 1) and wealth changes from
wo to w² = 2.5.
(d) Which of the changes in parts (b) and (c) does the consumer prefer? Explain.
Transcribed Image Text:In class, we looked at the CV and EV associated with changes in prices. The same measures can be used if wealth also changes; thus, for instance, if prices and wealth change from (pº, wº) to (p¹, w¹), then the CV is e(p¹, v(p¹, w¹))-e(p¹, v(pº, wº)). Consider the expenditure function e(p, u) = = U P₁ + P₂ Let initial prices and wealth be pº = (1, 1) and wº = 1 respectively. (a) Find the indirect money-metric utility function e(p, v(p, w)). (b) Evaluate the EV and CV if p¹ = pº (i.e. prices remain the same) and wealth changes from wº to w¹ = 2. (c) Evaluate the EV and CV if prices change from pº to p² = (2, 1) and wealth changes from wo to w² = 2.5. (d) Which of the changes in parts (b) and (c) does the consumer prefer? Explain.
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Normal Goods
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
Economics:
Economics:
Economics
ISBN:
9781285859460
Author:
BOYES, William
Publisher:
Cengage Learning
MACROECONOMICS
MACROECONOMICS
Economics
ISBN:
9781337794985
Author:
Baumol
Publisher:
CENGAGE L
Macroeconomics: Principles and Policy (MindTap Co…
Macroeconomics: Principles and Policy (MindTap Co…
Economics
ISBN:
9781305280601
Author:
William J. Baumol, Alan S. Blinder
Publisher:
Cengage Learning
Economics (MindTap Course List)
Economics (MindTap Course List)
Economics
ISBN:
9781337617383
Author:
Roger A. Arnold
Publisher:
Cengage Learning
Macroeconomics
Macroeconomics
Economics
ISBN:
9781337617390
Author:
Roger A. Arnold
Publisher:
Cengage Learning