1. Consider the overlapping generations model with fiat money. a) Carefully setting up the budget constraints, characterize the equilibrium of the money market and show how the rate of return on fiat money depends on the growth rate of the economy and the growth rate of the money supply. b) Contrast this equilibrium to the equilibrium the economy would have if there was no money. Explain why the introduction of money is a Pareto improvement. c) Use this model to show and discuss why inflation distorts consumers' intertemporal consumption choice. Focusing on the stationary monetary equilibrium, explain what rate of money growth maximises the welfare of future generations. Discuss what this implies for the rate of inflation when the

ECON MACRO
5th Edition
ISBN:9781337000529
Author:William A. McEachern
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Chapter15: Monetary Theory And Policy
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1. Consider the overlapping generations model with fiat money.
a) Carefully setting up the budget constraints, characterize the equilibrium of the
money market and show how the rate of return on fiat money depends on the
growth rate of the economy and the growth rate of the money supply.
b) Contrast this equilibrium to the equilibrium the economy would have if there
was no money. Explain why the introduction of money is a Pareto
improvement.
c) Use this model to show and discuss why inflation distorts consumers'
intertemporal consumption choice. Focusing on the stationary monetary
equilibrium, explain what rate of money growth maximises the welfare of
future generations. Discuss what this implies for the rate of inflation when the
economy experiences population growth.
Transcribed Image Text:1. Consider the overlapping generations model with fiat money. a) Carefully setting up the budget constraints, characterize the equilibrium of the money market and show how the rate of return on fiat money depends on the growth rate of the economy and the growth rate of the money supply. b) Contrast this equilibrium to the equilibrium the economy would have if there was no money. Explain why the introduction of money is a Pareto improvement. c) Use this model to show and discuss why inflation distorts consumers' intertemporal consumption choice. Focusing on the stationary monetary equilibrium, explain what rate of money growth maximises the welfare of future generations. Discuss what this implies for the rate of inflation when the economy experiences population growth.
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