6.1. Suppose there are two islands. The total population on the two islands is 500 people. The initial stock of fiat money is $500. The money stock increases according to M, = 1.1M-1. The probability that a person is on Island 1 is 1/4 and the probability that a person is on Island 2 is 3/4. Let I(p) = 4 (so that labor supply does not depend on price). a. Write down the money market-clearing condition for each island. b. Solve for the equilibrium price level in date 1. c. Write down the per-person transfer that the government gives to each old person. d. Compute the value of the transfer.

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.7P
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6.1. Suppose there are two islands. The total population on the two islands is 300 people,
The initial stock of fiat money is $500. The money stock increases according to M, =
1.1M,-1. The probability that a person is on Island 1 is 1/4 and the probability that a
person is on Island 2 is 3/4. Let 1(p/,) =4 (so that labor supply does not depend on
price).
a. Write down the money market-clearing condition for each island.
b. Solve for the equilibrium price level in date 1.
c. Write down the per-person transfer that the government gives to each old person.
d. Compute the value of the transfer.
Transcribed Image Text:6.1. Suppose there are two islands. The total population on the two islands is 300 people, The initial stock of fiat money is $500. The money stock increases according to M, = 1.1M,-1. The probability that a person is on Island 1 is 1/4 and the probability that a person is on Island 2 is 3/4. Let 1(p/,) =4 (so that labor supply does not depend on price). a. Write down the money market-clearing condition for each island. b. Solve for the equilibrium price level in date 1. c. Write down the per-person transfer that the government gives to each old person. d. Compute the value of the transfer.
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