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Microeconomic foundation of money

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MACROECONOMICS

Sponsored by a Grant TÁMOP-4.1.2-08/2/A/KMR-2009-0041 Course Material Developed by Department of Economics,

Faculty of Social Sciences, Eötvös Loránd University Budapest (ELTE) Department of Economics, Eötvös Loránd University Budapest

Institute of Economics, Hungarian Academy of Sciences Balassi Kiadó, Budapest

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Authors: Áron Horváth, Péter Pete Supervised by: Péter Pete

February 2011

Week 11

Microeconomic foundation of money

Model

Micro foundation is difficult

We use the simplest way possible

Only external money is assumed

We ignore the producer

Demand for money is consumer’s demand for money

MIU

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Consumer

Y is exogenous (for the sake of simplicity)

Consumer consumes (C) and saves in nominal bonds (Bd) with return R, and in money (Md) with return 0. Both assets are taken from one period to the other

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4 The choice between consumption and saving is still determined by the real interest

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Demand for money

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Government

The government’s budget constraint: spending is financed either by taxation, or by borrowing, or by issuing money (seigniorage)

Complete model

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Complete model

Equilibrium conditions:

Ms = Md and Bs = Bd for all t.

We have four equations. Given output, government spending, bond and money supply, these equations determine time paths for: C, T, P, and r. Mominal interest rate is given from time paths of r and P

Classical dichotomy

Adding up the two budget constraints:

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Steady state

As G and Y are constant, in steady state C and r are also constat

There is inflation, if M grows at a constant rate (in steady state this rate also has to be constant

Growth rates of M and P are the same. It can also be zero

Neutrality

Neutrality of money

Meaning of the super neutrality of money

Not just that changes in M are neutral, but changes in the rate of inflation also would not have any impact on real variables.

Superneutrality does not follow from neutrality.

It holds in MIU, it does not in CIA

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