The Zero Discount Value of Gold and Dethroning
the Dollar
by
Michael S. Rozeff
by Michael S. Rozeff
Recently
by Michael S. Rozeff: What
Price Gold?
A truly major
change in the global monetary system is beginning to materialize.
The dollar is starting to be dethroned. Foreign governments and
central banks are going to do the dethroning.
I have no prediction
as to how slowly or quickly this process will take. The major dethroners,
the Chinese, are on record as favoring a slow process. The transition
is already occurring, however. Now that attitudes have shifted among
the dethroners, they are likely to keep at it.
The transition
will be away from the dollar’s use in international exchange and
toward the use of stronger and/or more stable currencies. International
deals are being made already in non-dollar currencies or through
barter.
The catalyst
for reducing the dollar’s role is the insolvent U.S. banking system
combined with the massive government and FED efforts to reflate
the system. The weakness of the emperor has been fully revealed.
Foreign players are going to press their advantages.
The U.S. monetary
system has failed. This is not just another stumble. The world is
not going to be led forward by a country with problems as large
as have surfaced in America.
There may not
be any viable heir to the throne, and the present king may remain
seated for quite some time. There will be many intervening ups
and downs of currencies and gold. But the nobles and court are
going to be busy forming new coalitions and jockeying for becoming
#1.
This movement
is going to be BIG. Entire economies are going to restructure. But
my focus here is on one part of the financial side of things, namely,
central banking and gold.
Many foreign
central banks have supplied credit to the U.S. government. As they
move away from that policy, U.S. interest rates will rise and the
dollar decline.
The dollar
price of gold depends on two factors: the dollar exchange rate against
other currencies and the world price of gold in those currencies.
A dollar decline raises the price of gold in dollar terms. An increase
in the world price of gold, other things equal, increases the dollar
price of gold. The world price of gold rises or falls with
the extent of inflation of all the world’s currencies.
The world price
of gold has risen in the last few years, but gold investors should
realize that it is not a one-way street. If the most important dethroning
central banks add gold to their reserves while stemming their
production of their own currencies, the world price of gold
will stabilize and fall. The dollar price of gold reflects both
exchange rates and the world gold price.
I believe and
argue below that the foreign governments and central banks have
intentionally pursued dollar policies for decades that were exactly
the opposite of what you or I as rational profit-maximizers
lacking in political power would have done. WHY? Apparently they
were rational from the point of view of those who did possess political
power and certain of their supporters that included exporters.
It is highly
pertinent to the price of gold to understand what has been going
on and how it now appears to be changing. Why it’s changing now
is, in my opinion, partly a matter of political competition. That’s
a polite way of saying that other states may be starting to see
their way clear to shaking off U.S. superpower dominance. They may
be starting to feel their oats. They may feel that power lies in
combining against the U.S. in certain ways while cooperating in
others. Secretly, they may have tasted blood and be licking their
chops. They may be gloating at the American difficulties. I don’t
think that "statesmen" are nice guys. They don’t build
up massive armies and navies with nuclear weapons because they are
nice guys.
It is also
partly a matter of economic necessity. Manipulations of economies
have resulted in serious economic dislocations and inefficiencies.
How did foreign
central banks do the opposite of what you and I, who lack power,
would have done?
We will need
to understand inflation to grasp that. In popular articles these
days, there is massive confusion over inflation (and deflation).
I will aim for utter clarity on this matter.
The Federal
Reserve Bank in America has to turn its earnings on its U.S. securities
back to the U.S. Treasury (in excess of its costs of running the
bank.) This means that the government bonds carried as assets have
no value to the FED. The present value of an asset with zero
cash flows is ZERO. These bonds do NOT back the currency that the
FED issues. (Foreign central banks that carry U.S. bonds as assets
may be in a different situation, depending on their laws.)
Federal Reserve
notes are backed, for all practical purposes, only by the GOLD that
the FED carries, which is 261.5 million oz.
The following
discussion is aimed at understanding the price of gold in a currency
issued by a central bank. This will then illuminate the mystery
of what central banks have done over the past 40 years to place
the dollar on a throne and in what ways they behaved opposite to
what a profit-maximizer would have done.
Suppose that
we have a central bank that has a single asset: 250 oz. of gold.
It has a single liability. It has issued 750 notes per oz. Each
note is dubbed a "dollar." In this scenario, the dollar
is defined as the piece of paper, the note, and not as a
weight in gold. The total number of notes issued is 187,500 = 750
x 250. Suppose, further, that the bank stands ready to convert
any note into gold if a note holder wishes to redeem it. 1,000 notes
bring 1.3333 oz. if this is done.
The price of
gold in this situation, expressed in dollars, is and has to be $750
per oz. Actually, the situation is really the reverse. The value
of $750 is 1 oz. , since it is the oz. of gold that gives value to
the notes issued against it.
I define a
new concept called the Zero Discount Value (ZDV) of gold.
The ZDV of gold in a specific currency is the total number
of currency notes issued divided by the total number of oz. of gold
held as an asset against that note issue. Bank reserves that are
fully convertible into currency notes also enter the total of bank
notes.
This definition
will help us to define inflation with precision and it will
help us to understand the pricing of gold. It will also lead to
an understanding of the dollar policies of foreign central banks.
Our hypothetical
central bank has187,500 notes (dollars) and 250 oz. , so that the
ZDV is $750 per oz.
The ZDV of
gold is the value of gold expressed in bank notes under the assumption
that all outstanding notes are converted into the bank’s holdings
of gold. Even if there is no convertibility, the ZDV is still the
same number. It is the value of gold under the assumption that all
the notes are exactly 100 percent backed by gold.
The ZDV for
a bank changes through time. Why? Because the bank’s holdings
of gold and its issue of notes change through time.
I define inflation
as an issue of central bank money (notes and reserves) not secured
by additional assets of equivalent worth.
Inflation is
a note issue that is made without additional asset backing,
in this case, gold. Inflation is an increase in bank notes issued
relative to the gold held as backing. Let the bank issue another
12,500 notes with no change in gold holdings and no other asset
entering the bank’s possession. This issue is inflation. The ZDV
is now $200,000/250 oz. = $800/oz. The zero discount value of gold
rises to $800 because of the inflation.
Inflation of
notes, which is the inflation defined here, has many effects
not discussed here such as inflation of various kinds of prices.
The single effect being emphasized is that the ZDV of gold, by definition,
has to go up when the bank inflates the number of notes that it
issues. By the same token, deflation is a reduction in bank notes
relative to gold held as backing. In this case, the ZDV declines.
There is no
economics or finance in this calculation. It is all definition,
but it is clear definition. The economic reasoning comes in when
we try to understand how the ZDV of gold and its market price are
related.
Suppose we
are back to the situation where the bank has 187,500 notes outstanding
and holds 250 oz. of gold. The ZDV is $750/oz. Now let us change
the scenario. Let us say that the bank no longer allows note holders
to convert the notes at the bank and get gold in return from the
bank’s tellers. The bank is still in operation. It does not close
its doors and repudiate its notes. It suspends convertibility for
an indefinite period of time.
Let us suppose
that private people can trade notes outside the bank, and that a
market springs up on the curb outside, or that down the street is
a tavern exchange.
The question
is this: What is the price of bank notes? Or the same question put
in another way: What is the price of gold expressed in these notes?
If people think
that the bank has stopped conversion because it intends to issue
more notes or even repudiate the notes altogether, then people will
try to rid themselves of these notes. In other words, if they expect
inflation of the notes and a rising ZDV, they may bid the price
of gold up above the ZDV, which is the same as bidding down the
note value by selling notes. This produces a premium for gold. Any
premium that may arise will depend in a complex way on expectations
and on other factors such as interest rates and other prices. I
discuss this case no further.
Let us address
the question of the price at which gold will sell when there is
no conversion and without this inflation effect which we know raises
the ZDV. In other words, let us analyze one thing at a time.
Leaving inflation
aside, several factors at a given moment in time restrain the price
rise of gold from rising above its ZDV.
If the notes
are forced to be legal tender by government law, then such a law
will tend to sustain their value even if there is no conversion.
The notes will be useful to pay taxes and debts. This factor has
an important implication. If the legal tender law is rescinded when
a bank is not allowing conversion, the notes are likely to lose
value and gold go higher.
The bank might
resume convertibility, in which case all those who bought gold at
greater than $750 would lose. Central banks do resume convertibility,
although it can take a good many years. Buying gold at prices above
ZDV near the time when the suspension ends is a losing proposition.
Let gold's
price be $1,000, which is above its ZDV of $750. The bank itself
has the incentive to sell out enough of its gold at a rate of 1,000
notes per oz. to absorb all the notes outstanding. Since 187,500/1,000
= 187.5, that will take 187.5 oz. The bank can then own the remaining
62.5 oz. free and clear with no liabilities against them. The bank
can put a lid on the price of gold by selling gold, and that will
be profitable for the bank but only when gold’s price exceeds
the ZDV.
In reality,
ZDV serves as an effective moving ceiling on the price of
gold. It certainly rises with inflation, but market prices rarely
get above the ceiling at any given time. Going above the ZDV is
not impossible. Gold did just that in 1980 for a brief time. It
appears that when this happened, there was an incentive for arbitrageurs
to borrow and sell gold (or simply to sell gold they owned) to receive
more dollars than the hypothetical conversion price (the ZDV) warranted.
How does this
work? Suppose gold has a price of $1,000/oz. when the ZDV is $750
and the bank owns 250 oz. of gold as backing. By selling 1 oz. at
$1,000, the speculator receives notes that are more than worth their
weight in gold (if there were convertibility). He receives the equivalent
of 1.33 oz. of gold for a sale of 1 oz. of gold. The speculator has
a strong incentive to sell gold when its market price exceeds its
ZDV.
This completes
the discussion of gold selling at above the ZDV. We saw that inflation
causes the ZDV to rise over time. We saw that at a given instant
in time, the ZDV at that moment acts as a ceiling to the market
price of gold.
Will the ZDV
also act as a floor?
Let’s now consider
the possibility of gold selling below its ZDV. In fact, this is
what has happened to gold priced in dollars for MANY years since
1980 when gold entered its long bear market and this situation STILL
prevails today even after 8 years of price increases. In U.S. dollars,
gold’s ZDV today is over $7,000 an oz. and rising.
The ZDV has
not provided a floor to the market price of gold, and yet there
are arbitrage forces that are at work to drive market price up to
the ZDV.
Suppose gold
is $250 an oz. in the market but the ZDV is $750. Let us attempt
an arbitrage. We borrow $250 (or use our own capital) and buy an
oz. of gold. We take the gold to the bank and try to redeem it for
$750. If we could do that, we could then repay the loan and keep
a profit of near $500. This shows that there should be some economic
incentive that prevents the gold price from falling too far below
its ZDV. Is there? If so, why hasn’t it operated? There are years
when gold has been 85 percent below its ZDV! What’s the impediment?
The central
bank itself could borrow $250, buy an oz. of gold, and then issue
750 notes without raising the ZDV. It could then repay the loan
(I neglect interest.) Its balance sheet would then have 251 oz.
gold plus 500 notes as assets and 188,250 notes outstanding. Netting
out the notes, it has 251 oz. gold and 187,750 notes. The ZDV falls
to $748.008. Deflation occurs. The bank has a profit by this arbitrage.
If it offers to redeem at $750/oz., that will use up 250.33 oz.
of gold. Its profit is the other 0.67 oz. worth $500.
The FED did
not do this arbitrage, despite the fact that gold was very
much below its ZDV, or conversely, that dollar notes were much above
their fully convertible price in gold. There was and is a strong
profit incentive to deflate that the FED spurned. The FED wanted
gold dethroned and the dollar placed on the throne. Profits from
the source I have outlined were not an incentive for it. It did
not want deflation. It wanted inflation.
No speculator
could get $750 for an oz. either, because the FED refused to redeem.
That is part and parcel of an intentional policy of inflation. It
is an essential part of such a policy. Otherwise, private
parties will turn in the notes and seek a different money. So that
avenue for profit also was blocked.
The private
entrepreneur has another option. Use gold to start a competing bank.
Issue a competing currency. For $750 in central bank notes, the
new banker buys 3 oz. of gold in the market. He keeps 2 oz. as
profit. He then issues 750 notes of his own, called the DOLAR,
convertible into gold at 750 per oz. As he buys up the gold and
sells the central bank notes, he drives the gold price in dollars
up. He keeps doing this until the ZDV is reached.
Hence, here
is another economic force that operates to make gold’s price converge
to the ZDV. Obviously, this avenue has been largely but not entirely
blocked. There are barriers to entry that are significant in the
form of getting an entire system that uses dollars to use DOLARS.
Nevertheless, people like James Turk and his GoldMoney venture are
pursuing this option.
Another way
is for ordinary people to buy gold and sell the dollar. To spend
$250 to buy an oz. of gold when one knows that the ZDV of a note
is $750 is to get something worth three times more than the weight
in gold of what one has given up. Still, this is not a riskless
arbitrage. It relies on the prospect that others will eventually
exploit the profit potential that exists when gold is well below
its ZDV.
There is another
way to arbitrage the difference between the market price of gold
and its ZDV when the market price is less than the ZDV. Other central
banks can borrow dollars, buy gold, and then issue currencies against
it. With these currencies, backed by gold, they can repay the dollar
borrowings and still have a profit. They can gain the arbitrage
profits in precisely the same way that the FED might have or that
private entrepreneurs might have.
MANY foreign
central banks have done the opposite. They sometimes have
sold gold. They have usually accumulated dollars in
substantial amounts in the form of dollar loans. They have not only
not competed with the FED and taken advantage of this arbitrage
opportunity, they have gone the other way and supported the FED
and the U.S. government by their loans. This was one part of the
financial side of government-run economic policies.
So when we
run through the arbitrage possibilities, we find that most of them
have been blocked or spurned.
Central bankers
dethroned gold, never fully, by not taking advantage of the
profitable opportunity to issue solid currencies that compete with
the dollar by buying gold and selling the dollar when gold’s price
is far below its ZDV. Instead they chose to act as satellites of
the U.S. The central bankers cooperated with governments that geared
a major part of their economy’s production for the American market
and took dollars in exchange. They lent to the American consumer
to finance his consumption of their goods. They weakened and inflated
their own currencies intentionally.
This is the
situation that appears to be changing. It started changing at least
six years ago in Asia, for China has been accumulating gold secretly
for at least six years. China recently began a campaign encouraging
its citizens to hold wealth in gold and silver. But the situation
began changing as early as 1979 with the European Exchange rate
mechanism. The euro came into being between 1992 and 2002, and that
competes with the dollar.
The
arbitrage opportunity pointed out above is a manifestation of an
overvalued dollar compared to gold and a world economy with serious
distortions in product, labor, and capital markets. They are two
sides of the same coin: the financial side and the real economy
side. These distortions have built up over decades as many countries
manipulated their economies while their central bankers aided and
abetted the dollar. A great deal of restructuring lies ahead.
America is
down. Is she out? America is capable of putting her house in order.
She has great strengths lodged in her people. It is not too late
to resuscitate the American economy and revive its vitality. Will
the proper policies and radical system changes be instituted to
accomplish that challenge? Unfortunately, there are no current
signals to that effect being given off by America’s ruling elite.
We are seeing the very opposite. Foreign leaders can read
these negative signals as well as we can. They are acting accordingly.
They are starting to dethrone the dollar.
October
20, 2009
Michael
S. Rozeff [send him mail]
is a retired Professor of Finance living in East Amherst, New York.
He is the author of the free e-book Essays
on American Empire.
Copyright
© 2009 by LewRockwell.com. Permission to reprint in whole or in
part is gladly granted, provided full credit is given.
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