<p>The demand for liquidity is usually defined as
$$
L(Y,i)
$$
where $Y$ is income and $i$ is the nominal interest rate. In equilibrium this equals the aggregate money supply $M$ which is function of several things, like $M_0$ the reserve rate, etc. Let us assume that everything except $i$, $M_0$ and $M = f(M_0)$ is constant. Then
$$
L(Y,i) = M = f(M_0).
$$
Demand for liquidity decreases in $i$ and $M$ increases in $M_0$. Thus for any given value of $i$ there is at most one equilibrium value of $M_0$, hence the central bank cannot simoultaneously set both $i$ and $M_0$ and always expect an equilibrium outcome. Lacking equilibrium either $i$ or $M$ will shift.</p>

CC BY-SA 3.0
2016-01-29T14:35:48.583Z
Thanks for your answer.
So, by setting the interest rate, they'll just supply as much money as it's demanded.
An old man in the sea.
CC BY-SA 3.0
2016-01-29T11:01:42.680Z
2016-01-29T11:01:42.680Z
Giskard
<p>On reading a textbook, the author state that after the 80's, and the serious consequences of thinking that inflation could be controlled by just targeting a monetary aggregate, modern central banks(CB) have shifted their paradigm to a targeting inflation by setting the interest rate. 
My question is if the CB sets the interest rate, does he need to target M0? Or does the CB just print money according to money demand?</p>

<p>Any help would be appreciated.</p>

CC BY-SA 3.0
2016-01-29T10:23:35.130Z
It's very difficult to work out what you are asking. What do you mean by "the interest rate" - which one? Which Central Bank?
410 gone
<macroeconomics>
Do current Central Banks need to target a monetary aggregate as they set interest rates for a target inflation?
An old man in the sea.
# Do current Central Banks need to target a monetary aggregate as they set interest rates for a target inflation?

(Asked by: username_0 on 2016-01-29)

On reading a textbook, the author state that after the 80's, and the serious consequences of thinking that inflation could be controlled by just targeting a monetary aggregate, modern central banks(CB) have shifted their paradigm to a targeting inflation by setting the interest rate.
My question is if the CB sets the interest rate, does he need to target M0? Or does the CB just print money according to money demand?

Any help would be appreciated.

**Tags:** macroeconomics
> **Comments:**
> **username_1**: It's very difficult to work out what you are asking. What do you mean by "the interest rate" - which one? Which Central Bank?  

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## 1 answers

### Answer by username_2 on 2016-01-29. Score: -1 | Accepted answer

The demand for liquidity is usually defined as
$$
L(Y,i)
$$
where $Y$ is income and $i$ is the nominal interest rate. In equilibrium this equals the aggregate money supply $M$ which is function of several things, like $M\_0$ the reserve rate, etc. Let us assume that everything except $i$, $M\_0$ and $M = f(M\_0)$ is constant. Then
$$
L(Y,i) = M = f(M\_0).
$$
Demand for liquidity decreases in $i$ and $M$ increases in $M\_0$. Thus for any given value of $i$ there is at most one equilibrium value of $M\_0$, hence the central bank cannot simoultaneously set both $i$ and $M\_0$ and always expect an equilibrium outcome. Lacking equilibrium either $i$ or $M$ will shift.

> **Comments:**
> **username_0**: Thanks for your answer. So, by setting the interest rate, they'll just supply as much money as it's demanded.  

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