a. In what sense in capital illiquid in this economy? Is fiat money subject to this same liquidity problem? b. Describe an intermediary that might overcome the illiquidity of capital so that intermediated capital may be used to acquire consumption in the second period of life. c. Suppose there is only one person in each generation who is able to run an intermediary. What is the minimum rate of return that person must offer to attract the depositors? For what values of x can this individual make a profit? d. What rate of return will be offered on deposits if many people in each generation able to run an intermediary?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.2P
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QUESTION 1
Consider an economy in which people live two-period lives in overlapping generations but are endowed
only in the first period of life. Capital has a minimum size, k, which is greater than the endowment of any
single individual but less than the total endowment of a single generation. Capital pays a one period gross
real rate of return equal to x. The population grows 10 percent in each period. There exists a constant
nominal stock of fiat money owned by the initial old.
a. In what sense in capital illiquid in this economy? Is fiat money subject to this same liquidity problem?
b. Describe an intermediary that might overcome the illiquidity of capital so that intermediated capital
may be used to acquire consumption in the second period of life.
c. Suppose there is only one person in each generation who is able to run an intermediary. What is the
minimum rate of return that person must offer to attract the depositors? For what values of x can this
individual make a profit?
d. What rate of return will be offered on deposits if many people in each generation able to run an
intermediary?
Transcribed Image Text:QUESTION 1 Consider an economy in which people live two-period lives in overlapping generations but are endowed only in the first period of life. Capital has a minimum size, k, which is greater than the endowment of any single individual but less than the total endowment of a single generation. Capital pays a one period gross real rate of return equal to x. The population grows 10 percent in each period. There exists a constant nominal stock of fiat money owned by the initial old. a. In what sense in capital illiquid in this economy? Is fiat money subject to this same liquidity problem? b. Describe an intermediary that might overcome the illiquidity of capital so that intermediated capital may be used to acquire consumption in the second period of life. c. Suppose there is only one person in each generation who is able to run an intermediary. What is the minimum rate of return that person must offer to attract the depositors? For what values of x can this individual make a profit? d. What rate of return will be offered on deposits if many people in each generation able to run an intermediary?
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