d) Now suppose that instead of y = 100, the consumer has y = 140. Again, determine optimal consumption in the current and future periods and optimal saving, and show this in a diagram. Is the consumer a lender or a borrower? e) Explain the differences in your results between parts (c) and (d).

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.2P
icon
Related questions
Question

Please only send solutions to question  D and E

Thanks in advance

A consumer's income in the current period is y = 100, and income in the future
period is y' = 120. He or she pays lump-sum taxes t = 20 in the current period and
t' = 10 in the future period. The real interest rate is 0.1, or 10%, per period.
a) Determine the consumer's lifetime wealth.
b) Suppose that current and future consumptions are perfect complements for the
consumer and that he or she always wants to have equal consumption in the
current and future periods. Draw the consumer's indifference curves.
c) Determine what the consumer's optimal current-period and future-period
consumptions are, and what optimal saving is, and show this in a diagram with the
consumer's budget constraint and indifference curves. Is the consumer a lender
or a borrower?
d) Now suppose that instead of y = 100, the consumer has y = 140. Again,
determine optimal consumption in the current and future periods and optimal
saving, and show this in a diagram. Is the consumer a lender or a borrower?
e) Explain the differences in your results between parts (c) and (d).
Transcribed Image Text:A consumer's income in the current period is y = 100, and income in the future period is y' = 120. He or she pays lump-sum taxes t = 20 in the current period and t' = 10 in the future period. The real interest rate is 0.1, or 10%, per period. a) Determine the consumer's lifetime wealth. b) Suppose that current and future consumptions are perfect complements for the consumer and that he or she always wants to have equal consumption in the current and future periods. Draw the consumer's indifference curves. c) Determine what the consumer's optimal current-period and future-period consumptions are, and what optimal saving is, and show this in a diagram with the consumer's budget constraint and indifference curves. Is the consumer a lender or a borrower? d) Now suppose that instead of y = 100, the consumer has y = 140. Again, determine optimal consumption in the current and future periods and optimal saving, and show this in a diagram. Is the consumer a lender or a borrower? e) Explain the differences in your results between parts (c) and (d).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Property Rights, Bargaining And The Coase Theorem
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
Microeconomic Theory
Microeconomic Theory
Economics
ISBN:
9781337517942
Author:
NICHOLSON
Publisher:
Cengage