HomeworkLib
Question

Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period...


Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period t, a generation of two-period lived agents are born. Their preferences are image.png. They are endowed with ey units of the consumption good, when young, and e° units of the consumption good, when old. Assume that ey > eo > 0. The consumption good is perishable The initial old also have a quantity M of intrinsically valueless fiat money. Trading takes place as described in class, i.e., old agents may purchase goods from young agents, using their money. Let st be the amount of savings, expressed in units of the good, which a young agent will save in period t, using money. There is no other store of ualue. Let πt=Pt/Pt-1 be the inflation from period t-1 to t, where P is the price in units of money for one unit of the consumption good.


4. Find all stationary equilibria, where πt ≡ π̅ is constant. Calculate them explicitly, when ey=4 and eo =1. Describe these equilibria.

business   economics   
3 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

If the inflation rate is higher than the rate of interest, consumption is more in the younger period, vice-versa.

0 0
Add a comment
Know the answer?
Add Answer to:
Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period...

    Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period t, a generation of two-period lived agents are born. Their preferences are ,+1log()log(+i). They are endowed with ey units of the consumption good, when young, and e° units of the consumption good, when old. Assume that e' > e > 0. The consumption good is perishable The initial old also have a quantity M of intrinsically valueless fiat money. Trading takes place as described...

  • 1. Calculate the optimal savings function st =(πt+1;ey,eo).

    Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period t, a generation of two-period lived agents are born. Their preferences are . They are endowed with ey units of the consumption good, when young, and e° units of the consumption good, when old. Assume that ey > eo > 0. The consumption good is perishable The initial old also have a quantity M of intrinsically valueless fiat money. Trading takes place as described in class, i.e.,...

  • 5. Find all equilibria, i.e. find all combination (P1,π2) of the initial price level P1 and inflation rate π2​, resulting in an equilibrium

    Problem 2. Consider an overlapping generations model with money, where t = 1,2,3,.... So, every period t, a generation of two-period lived agents are born. Their preferences are . They are endowed with ey units of the consumption good, when young, and e° units of the consumption good, when old. Assume that ey > eo > 0. The consumption good is perishable The initial old also have a quantity M of intrinsically valueless fiat money. Trading takes place as described in class, i.e.,...

  • Consider an overlapping generations model with 200 lenders and 100 borrowers born in every period. Everyone...

    Consider an overlapping generations model with 200 lenders and 100 borrowers born in every period. Everyone lives for only two periods. Each lender is endowed with 20 goods when young and nothing when old. Each borrower is endowed with nothing when young and 40 goods when old. The lenders want to save 10 goods each, regardless of the rate of return on their savings. Each borrower wants to borrow 10/r goods each, where r is the gross real interest rate...

  • QUESTION 2 (Total: 15 marks) Consider an overlapping generations model as discussed in Chapter 7. In...

    QUESTION 2 (Total: 15 marks) Consider an overlapping generations model as discussed in Chapter 7. In which people live for 3 periods. People receive endowment y only when they are young and zero endowments during other times. The population growth rate is n>1. People can hold physical capital which yields return after two periods: each unit of capital generates X units of consumption goods after two periods and then capital disintegrates. Note it is impossible for an individual to observe...

  • QUESTION-3: Suppose that L two period-lived individuals (1.2) (young, old) are born in period t and...

    QUESTION-3: Suppose that L two period-lived individuals (1.2) (young, old) are born in period t and that 1: = (1+n)Le-1- Let utility be logarithmic: u(C1,0, C2,4+1) = In(1.c) + In(C2.6+1). Each individual born at timetis endowed with A units of the economy's single good. The good can be either consumed or stored. Each unit stored yields x>0 units of the good in the following period. Also that in the initial period, period t=0, in addition to the LO young individuals...

  • 2.1. Consider an economy with a constant population of N 100. Each person is endowed with...

    2.1. Consider an economy with a constant population of N 100. Each person is endowed with y-20 units of the consumption good when young and nothing when old. a. What is the equation for the feasible set of this economy? Portray the feasible set on a graph. With arbitrarily drawn indifference curves, illustrate the stationary combination of c1 and C2 that maximizes the utility of future generations b. Now look at a monetary equilibrium. Write down equations that represent the...

  • 2.1. Consider an economy with a constant population of N 100. Each person is endowed with...

    2.1. Consider an economy with a constant population of N 100. Each person is endowed with y-20 units of the consumption good when young and nothing when old. a. What is the equation for the feasible set of this economy? Portray the feasible set on a graph. With arbitrarily drawn indifference curves, illustrate the stationary combination of c1 and C2 that maximizes the utility of future generations b. Now look at a monetary equilibrium. Write down equations that represent the...

  • Consider two economies, labelled A and B

    Consider two economies, labelled A and B. In each one, let every two- period-lived person be endowed with 20 units of the consumption when young and nothing when old. In Economy A, each young person chooses to consume 10 units of the consumption good. In Economy B, each young person chooses to consume 8 units of the consumption good. In each economy, the young person's choice is the one that maximizes lifetime welfare. a. What, if anything, can you infer about...

  • Consider the version of the OLG model where people live for three periods. Suppose there are...

    Consider the version of the OLG model where people live for three periods. Suppose there are 200 young people born each period. Each young person receives 200 goods, but nothing when middle-aged or when old. No one consumes when young. Each young person has a chance of being either of the following types: - The “Early” Type consumes in the first period after birth; - The “Late” Type consumes in the second period after birth. No person knows his own...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT