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 on private IOUs. The lending market is free and competitive.
a) In a nonmonetary equilibrium, what will the market-clearing value of r be?
b) Now turn to a monetary equilibrium. Suppose z=0.5. What will the real fiat money holdings of a typical lender be?
Consider an overlapping generations model with 200 lenders and 100 borrowers born in every period. Everyone...
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...
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...
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...
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 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 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...
Hi, I need things questions answered but specifically 8.2!
Suppose the intermediation of capital goods costs (phi) units of
the consumption good for each unit of capital intermediate. Assume
that transaction costs occur when agents withdraw from banks (when
they are middle-aged). What will the equilibrium rate offered by
intermediaries be if they are the ones who bear transaction
costs?
o discovered that rate-of-return differences provi elopment of financial intermediaries. These intermeutaries provige We have also ive or tis correcting...