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CLASS #19: MONEY
Chapters 7 and 15
What is money, and why do we use it?
Example: cigarettes as money in WWII Prisoner-of-War camps. Money as a device for making transactions.
Barter economy is inefficient because of: 1) search costs 2) lack of specialization. Why cigarettes. Cigarettes satisfy a number of criteria for being ``good money": But cigarettes (like gold) have an alternative use - resource cost.
What is money for?
The Monetary Aggregates
Assets differ in their ``moneyness", that is, in their ability to ``substitute" currency as a medium of exchange (and unit of value) What is the relevant monetary aggregate?
A bit of History: from Gold Coins, to Gold Standard, to Fiat Money
The Monetary Base and the Money Supply
Let us follow the example in the book: the Central Bank buys 1,000,000 coconuts in exchange for 1,000,000 ``florins".
Central Bank Balance Sheet
ASSETS LIABILITIES
coconuts 1,000,000 fl. currency 1,000,000 fl.
The liabilities of the Central Bank that are usable as money are the Monetary Base. Let us say people hold all their money as deposits in Bancomiendo:
Bancomiendo Balance Sheet
ASSETS LIABILITIES
Currency 1,000,000 fl. Deposits 1,000,000 fl.
If Reserves = Deposits, then Money Supply = Monetary Base
But if Bancomiendo has to keep only 20% ( $res=\frac{RES}{DEP}$) of deposits as reserves and uses the remaining 80% to make loans:
Bancomiendo Balance Sheet
ASSETS LIABILITIES
Currency 1,000,000 fl. Deposits 1,800,000 fl.
Loans 800,000 fl.    
Now the amount of reserves again exceeds the amount of deposits. Therefore the bank keeps on lending until the total amount of currency is exactly equal to 20% of the total amount of deposits. That is until:
res DEP = BASE
Bancomiendo Balance Sheet
ASSETS LIABILITIES
Currency 1,000,000 fl. Deposits 5,000,000 fl.
Loans 4,000,000 fl.    
Notice also that:

DEP=BASE+(1-res)BASE+(1-res)2 BASE+...

In this economy the total money supply is:

\begin{displaymath}M=DEP=\frac{BASE}{res}\end{displaymath}

the money multiplier is $\frac{1}{res}$. If people keep a fraction cu of their money as currency we have that:

M=CU+DEP,

and

BASE=RES+CU

.
So

\begin{displaymath}\frac{M}{BASE}=\frac{CU+DEP}{RES+CU}=\frac{1+cu}{cu+res}\end{displaymath}

and the money multiplier is $\frac{1+cu}{cu+res}$ What happened during Bank Runs (Great Depression)? Does the central bank really hold coconut (or gold) as assets to ``back up" its liabilities (Monetary Base)?
No! they -mostly- hold other pieces of paper: government bonds.
What is -more or less- a currency board?
The central bank holds only -say- US Treasury Bonds as liabilities: it can commit to convert -say- 10 Pesos for 1 Dollar.
The central bank holds as assets liabilities of other governments.
Question: would it be the same if the Mexican Central Bank held $ denominated bonds issued by the Mexican government?

 
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Marco Del Negro
2000-04-05