Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

CC Consider a model in which individuals live only two periods. Individuala maximize the following utility function 3 2 U = In(C1) + In(C2), where

image text in transcribed

CC Consider a model in which individuals live only two periods. Individuala maximize the following utility function 3 2 U = In(C1) + In(C2), where C1 is the consumption in period 1 and C2 is the consumption in period 2. In each period there are N young individuals and N old individuals. An individual receives an income of $300 in period 1 and no income in period 2. The market interest rate is 5 percent, and the person can borrow or lend money at this rate. (a) Use a diagram of indifference curves and an intertemporal budget constraint to illustrate the individual's optimal consumption in each period, if there is no public pension system. Make sure you label the axes and provide the numerical value of the slope of the budget constraint. [1 mark] (b) Write down the individual's lifetime budget constraint and solve to find C1, C2 and S, which is personal savings. [2 marks] (c) Now assume that the government introduces a public pension program. The government takes $50 from each individual in period 1 and gives it directly to individuals in period 2. i. What is the terminology for this public pension program? [1 mark] ii. How much does an individual privately save now? [2 marks] iii. How does an individual's utility with the public pension system compare to an indi- vidual's utility without the public pension system? [1 mark] iv. Explain the intuition behind your findings in iii. [1 mark] CC Consider a model in which individuals live only two periods. Individuala maximize the following utility function 3 2 U = In(C1) + In(C2), where C1 is the consumption in period 1 and C2 is the consumption in period 2. In each period there are N young individuals and N old individuals. An individual receives an income of $300 in period 1 and no income in period 2. The market interest rate is 5 percent, and the person can borrow or lend money at this rate. (a) Use a diagram of indifference curves and an intertemporal budget constraint to illustrate the individual's optimal consumption in each period, if there is no public pension system. Make sure you label the axes and provide the numerical value of the slope of the budget constraint. [1 mark] (b) Write down the individual's lifetime budget constraint and solve to find C1, C2 and S, which is personal savings. [2 marks] (c) Now assume that the government introduces a public pension program. The government takes $50 from each individual in period 1 and gives it directly to individuals in period 2. i. What is the terminology for this public pension program? [1 mark] ii. How much does an individual privately save now? [2 marks] iii. How does an individual's utility with the public pension system compare to an indi- vidual's utility without the public pension system? [1 mark] iv. Explain the intuition behind your findings in iii. [1 mark]

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Business Intelligence For New-Generation ManagersCurrent Avenues Of Development

Authors: Jörg H. Mayer, Reiner Quick

6th Edition

3319156950, 9783319156958

More Books

Students also viewed these Accounting questions