| A DETOUR FOR DELTA
HEDGING
Let me detour for a moment to explain
this keystone to understanding the present silver market. What is
"delta hedging"? When option holders see prices move a certain
amount away from the strike price of options they hold, option
theory demands that they buy or sell an offsetting amount to cover
their increased risk. This "delta hedging" is that increased selling
or buying, i.e., the option holder must hedge the
delta ("change") in his position. For instance, if you are
long by virtue of holding call options, accepted
option theory prescribes that you sell so-and-so much more silver as
the option rises further above the strike price, in order to
maintain the same level of risk in your position. Conversely, if you
are short through options you have to buy more as the
price drops further from the strike price.
Intuitively this doesn’t make much
sense until you realise what the option seller aims to maintain.
Merchants of physical commodities never try to make a profit
on the rise or fall of the market, but rather only from the
transactions they perform. Therefore they manage their
positions (inventory) so that they never grow or shrink. How do they
do this? By adjusting their bid and ask prices. With the silver
market at $5.00 an ounce, a physical merchant might be buying silver
for $4.90 an ounce and simultaneously selling for $5.10 an ounce. If
he owns an inventory of 10,000 ounces of silver, he will raise his
buying and selling prices as he sells inventory, and lower his
buying and selling prices as he buys inventory. This tends to keep
his inventory stable ("flat"), and a flat position carries no risk.
(Ignore the 10,000 that he owns. He doesn’t care what happens to the
value of that inventory. He only wants to use it for making
transactions. He’s not an investor, he’s a merchant, and he
makes his living buying and selling that inventory, not on the rise
or fall of the market.
Options merchants or sellers ("bullion
banks" and "producers"), on the other hand show much different
behaviour. Why? Because their leverage in their inventory is not
one to one, but varies with the relation of the option strike price
to the market price. As they lose, their leverage gears up the loss
to increase at an increasing rate. As they gain, their
leverage gears the loss to reduce risk. Their exposure remains
relatively stable over a certain range of market prices, but
violently increases outside that range.
Options sellers operate just like
bookies. They know that most bets run against the bettor; the house
usually wins. However, once in a while a long shot comes in and the
house loses big money. Just like the house in a casino, the options
seller he faces a risk curve where most of the time he collects free
money (just back up the truck). What’s the downside? Outside a
certain range, he faces terrifying, potentially annihilating
risk.
Without resorting to any conspiracy
theory, the last 20 years’ rise in options activity alone could
explain why both gold and silver stagnate in a narrow price range
with periodic violent moves outside that range. Increased options
activity virtually guarantees that any market will act that
way.
Why? Because the options merchants is
not hedging an inventory so much as a level of risk. If you sell one
call option at-the-money (same price where the market currently
stands), it has a "delta" or risk of change of .5 or 50%. That is,
there is a 50% chance the price will go up, and a 50% chance the
price will drop. The further the price moves away from the option
strike price in such direction that the seller loses, the faster the
"delta" or risk rises. In order to maintain the same "delta," the
option seller must buy more and more silver.
Suppose the market stands at $5.00,
and you sell a call option for 5,000 ounces of silver with a strike
price of $5.00. Your delta is now .5 or 50%. If the market drops to
$4.50, the option moves farther out-of-the-money and the delta drops
along a curve (not in one-to-one ratio). Say now the delta is .25 or
25%. Now you are short only the equivalent of 2,500 ounces of
silver. To maintain the same delta you started with, you have to
sell more options. As options activity increases, this will put more
and more pressure on the market.
Now suppose the market goes the other
way. It stands at $5.00, and you sell a call option with a
strike of $5.00, i.e., at the money. You are now short the
equivalent of 5,000 ounces. Suppose the delta is .75 for the 5.50
strikes, and 1.00 for the 6.00 strikes. The risk increases on
a curve up at an increasing rate. Now when the price reaches $6.00,
you are short the equivalent of 10,000 ounces, or twice as much as
you intended. You have to somehow buy the equivalent of 5,000 ounces
to restore your position to its original .5 delta.
What does this imply? That increased
options activity (such as the Derivatives Revolution of the past 20
years) will (1) moderate prices (decrease volatility) over a
certain range but (2) violently exaggerate price moves
(increase volatility) outside that range.
What else does it hint? That futures
merchants and hedgers ("bullion banks" and "producers"), once they
establish an options position, have a colossal self-interest to
protect. That self-interest is wholly wrapped up in the market price
remaining in a certain range. That self-interest will be
french-fried and incinerated if the price escapes that range. If one
were a prosecuting attorney looking for a perpetrator, that would
certainly give merchants and hedgers a motive to manipulate
the market. Even if they weren’t operating in active, conscious
concert, their behavior -- driven as it is by the logic of their
position -- would make their actions look like a
conspiracy.
-- F. Sanders
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