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.

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter17: Capital And Time

Section: Chapter Questions

Problem 17.2P

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