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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 Mt=1.1Mt1. 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 l(pti)=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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Suppose there are two islands. The total population on the two island.pdf

  • 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 Mt=1.1Mt1. 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 l(pti)=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.