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==The effect of gold stocks upon the money supply==
==The effect of gold stocks upon the money supply==
:''(the following is a summary of a passage in Bernanke (2000) <ref> Ben Bernanke: ''Essays on the Great Depression'', Princeton University Press, 2000 </ref>  page 9)''


Under the gold standard the effect of variations in a  country's central bank stock of gold upon that country's money supply is governed by the identity:
Under the gold standard the effect of variations in a  country's central bank stock of gold upon that country's money supply is governed by the identity:
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:GOLD&nbsp;=&nbsp; gold reserves of the central bank,&nbsp;-&nbsp;PGOLD&nbsp;x&nbsp;QGOLD;
:GOLD&nbsp;=&nbsp; gold reserves of the central bank,&nbsp;-&nbsp;PGOLD&nbsp;x&nbsp;QGOLD;


:PGOLD&nbsp;=&nbsp;the price of gold per unit of quantity aat which the central bank is required to buy and sell gold; and,
:PGOLD&nbsp;=&nbsp;the price of gold per unit of quantity at which the central bank is required to buy and sell gold; and,


:QGOLD&nbsp;=&nbsp;the size (quantity) of the central bank's  gold reserve;
:QGOLD&nbsp;=&nbsp;the size (quantity) of the central bank's  gold reserve;
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and
and


:the ratio M1/BASE - the "money multiplier" is greater than 1 in a fractional reserve banking system
:the ratio M1/BASE - the "money multiplier" is greater than 1 in a fractional reserve banking system ''(see the [[Banking/Tutorials|addendum to the article on banking]])'';
 
:the ratio BASE/RES is also greater than 1 where the central bank holds domestic assets as well as gold: and,
 
:the ratio RES/GOLD is greater than 1 in a gold exchange system under which foreign exchange that is convertible to gold is counted as gold in a central bank's reserves.
 
Where - as was usually the case - those ratios were greater than 1, fluctuations in the gold reserves of a country's central bank led to larger fluctuations in its money supply - often many times as large.
 
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Tutorials relating to the topic of Gold standard.

The effect of gold stocks upon the money supply

(the following is a summary of a passage in Bernanke (2000) [1] page 9)


Under the gold standard the effect of variations in a country's central bank stock of gold upon that country's money supply is governed by the identity:

M1 = (M1/BASE) x (BASE/RES) x (RES/GOLD) x PGOLD x QGOLD

where

M1 = money supply (money in circulation plus retail bank deposits);
BASE = monetary base (money in circulation plus retail bank reserves);
RES = international reserves of the central bank (foreign assets plus gold reserves);
GOLD =  gold reserves of the central bank, - PGOLD x QGOLD;
PGOLD = the price of gold per unit of quantity at which the central bank is required to buy and sell gold; and,
QGOLD = the size (quantity) of the central bank's gold reserve;

and

the ratio M1/BASE - the "money multiplier" is greater than 1 in a fractional reserve banking system (see the addendum to the article on banking);
the ratio BASE/RES is also greater than 1 where the central bank holds domestic assets as well as gold: and,
the ratio RES/GOLD is greater than 1 in a gold exchange system under which foreign exchange that is convertible to gold is counted as gold in a central bank's reserves.

Where - as was usually the case - those ratios were greater than 1, fluctuations in the gold reserves of a country's central bank led to larger fluctuations in its money supply - often many times as large.

  1. Ben Bernanke: Essays on the Great Depression, Princeton University Press, 2000