Question 3) In a two-period world, a consumer's utility function is given by u(c1, c2) = ln(c1) + In(c2) where c1 and c2 are his consumption in the two periods. Denote his income in the two periods by m1 and m2 and the prevailing interest rate by r. (a) Derive the period-1 consumption function c1(r, m1, m2). (b) How much will this individual save in the first period if m1 = m2 = 220 and r = 25%? (c) Suppose the individual has an income of £220 in each period, and that the current prevailing interest rate is 20%. If there is an increase in the prevailing interest rate, we cannot predict how his behaviour will change because we do not know the relative strengths of the income and the substitution effects. True or false? Provide a graphical explanation that supports your claim.
Question 3) In a two-period world, a consumer's utility function is given by u(c1, c2) = ln(c1) + In(c2) where c1 and c2 are his consumption in the two periods. Denote his income in the two periods by m1 and m2 and the prevailing interest rate by r. (a) Derive the period-1 consumption function c1(r, m1, m2). (b) How much will this individual save in the first period if m1 = m2 = 220 and r = 25%? (c) Suppose the individual has an income of £220 in each period, and that the current prevailing interest rate is 20%. If there is an increase in the prevailing interest rate, we cannot predict how his behaviour will change because we do not know the relative strengths of the income and the substitution effects. True or false? Provide a graphical explanation that supports your claim.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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![Question 3)
In a two-period world, a consumer's utility function is given by u(c1, c2) = ln(c1) + In(c2) where
c1 and c2 are his consumption in the two periods. Denote his income in the two periods by m1 and
m2 and the prevailing interest rate by r.
(a) Derive the period-1 consumption function c1(r, m1, m2).
(b) How much will this individual save in the first period if m1 = m2 = 220 and r = 25%?
(c) Suppose the individual has an income of £220 in each period, and that the current prevailing
interest rate is 20%. If there is an increase in the prevailing interest rate, we cannot predict how his
behaviour will change because we do not know the relative strengths of the income and the
substitution effects. True or false? Provide a graphical explanation that supports your claim.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bbd78e4-7c8b-48c2-af98-2b069286f0ae%2F1877dce5-ff9b-4bcc-ac57-a16247af7e79%2Fahcn6dk_processed.png&w=3840&q=75)
Transcribed Image Text:Question 3)
In a two-period world, a consumer's utility function is given by u(c1, c2) = ln(c1) + In(c2) where
c1 and c2 are his consumption in the two periods. Denote his income in the two periods by m1 and
m2 and the prevailing interest rate by r.
(a) Derive the period-1 consumption function c1(r, m1, m2).
(b) How much will this individual save in the first period if m1 = m2 = 220 and r = 25%?
(c) Suppose the individual has an income of £220 in each period, and that the current prevailing
interest rate is 20%. If there is an increase in the prevailing interest rate, we cannot predict how his
behaviour will change because we do not know the relative strengths of the income and the
substitution effects. True or false? Provide a graphical explanation that supports your claim.
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