Hedging ahead
BY DAN ROWE
First published in Energy Power and Risk Management, April 2002
Continuing our series of tutorials on risk management tools, Dan Rowe looks at how
physical positions can be hedged with exchange-traded futures and options contracts
Futures contracts plus physical
commodity equals hedged position.
Does it seem unusual that a
derivatives instrument could be used to
hedge a physical position? It should not
sound all that bizarre by now, at least not
if you have been following prior
instalments of these tutorials (see
Going OTC with forwards and swaps).
This month we look at the proper way to hedge a
physical position using exchange-traded
futures and options contracts.
The idea is simple: use a financial tool
to offset all or at least part of the price risk
exposure on the physical commodity.
Once we have identified the directional
exposure on the physical commodity
that is, whether it is rising or falling prices
that we fear we can determine how the
futures or options contract will be used.
If this concept is simple enough, the
application should not be much more
difficult just more involved. To start
with, we need to know what a futures
contract will and will not do for us.
As a hedge tool, futures will only
produce one end result to fix, or lock-in,
a price. As a result, futures contracts will
not allow us to participate in any future
price movement, whether favourable or
not. In other words, when using futures
contracts to hedge, we had better be
comfortable with the price of the physical
commodity at the time of the hedge, as
this is the price we are now guaranteed. If
a futures contracts is not suitable, there is
an alternative options which we
discuss later in this article.
So now that we are aware of what a
futures contract can and cannot do for us
as a hedge, let us look at how hedging
takes place. In a very fundamental sense,
hedging is all about opposite relationships.
This is generally true for futures and
options if we assume a positive correlation
in price movement between the physical
and the financial tool that is, if they move
a similar amount in the same direction. To
take advantage of this relationship, all we
need is a financial tool that will offset any
losses on the physical commodity, should
the value of the physical commodity move
in a direction unfavourable to us.
If we are long natural gas at $2.40 per
million British thermal units (mmBtu), we
will go short futures contracts on natural
gas for the coming month. The point is that
if natural gas prices fall below
$2.40/mmBtu, we will suffer financial loss
by selling for less than our purchase price
of $2.40. But, with a short futures contract
in place, the declining value of our physical
commodity will be offset by the rising
value of our short futures contract. The end
result is a fixed price of $2.40/mmBtu,
regardless of the future price movement of
my physical commodity. We can further
expand on hedging with another example.
Practical example
As an end-user of natural gas, we are
always short natural gas we will forever
be buying gas to operate our factory. As a
result, we are worried about gas prices
rising. The forward price for July is
$3.00/mmBtu. On February 25, the New
York Mercantile Exchange (Nymex)
Henry Hub natural gas futures contract is
trading at $2.20/mmBtu for July 2002.
Suppose we want to lock-in a price for gas
supplied in July. If we wanted to protect
the $3.00/mmBtu forward price today, we
would simply set up a hedge on February
25 as shown in table 1.
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Table 1: Simple hedge set-up
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February 25
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Physical
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Short July natural gas
@ $3.00/mmBtu
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Futures
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Long July natural gas
@ $2.20/mmBtu
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Once the hedge is established, we
would continue to operate as usual only
this time, as we purchase the physical
natural gas, we would liquidate the futures
contract. Assume on the day of liquidation
that physical gas prices have risen to
$3.50/mmBtu and the Nymex Henry Hub
futures contract to $2.70/mmBtu. The end
result would appear as shown in table 2.
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Table 2: Hedge on day of liquidation
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February 25
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June 26
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Net profit/loss
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Physical
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Short July natural gas
@ $3.00/mmBtu
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Long natural gas
@ $3.50/mmBtu
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$0.50 loss on
physical commodity
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Futures
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Long July natural gas
@ $2.20/mmBtu
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Sell July natural gas
@ $2.70/mmBtu
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$0.50 profit on
financial contract
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Net price paid after hedge = $3.00
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At the point we purchase the physical
commodity, we would have to liquidate the
futures contract to offset the movement in
the physical commodity. In the case above,
we have lost $0.50/mmBtu on the physical.
The futures contract has, however, offset
this higher physical price by an even
$0.50/mmBtu. When all is netted out, we
ended up buying our physical at the
original price of $3.00/mmBtu ($3.50
purchase price minus $0.50 gain on futures
= $3.00/mmBtu).
So, the good news is that the futures
contract locked us into a price of
$3.00/mmBtu when the market moved up
to $3.50. The example in table 3 should
help us figure out the bad news.
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Table 3: Hedge liquidation with falling prices
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February 25
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June 26
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Net profit/loss
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Physical
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Short July natural gas
@ $3.00/mmBtu
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Long natural gas
@ $2.75/mmBtu
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$0.25 profit on
physical commodity
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Futures
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Long July natural gas
@ $2.20/mmBtu
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Sell July natural gas
@ $1.95/mmBtu
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$0.25 loss on
financial contract
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Net price paid after hedge = $2.75 purchase + $0.25 loss = $3.00/mmBtu
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Notice how the physical market price
had fallen to $2.75/mmBtu. Had we not
hedged, we could have simply paid $2.75,
for a $0.25 saving. But, unaware of the
eventual outcome, we locked-in
$3.00/mmBtu, for better or worse.
Basis risk
However, this example assumes the
futures contract and our physical
commodity move up and down in exact
unison. The reality is that these two
mechanisms will move independent of one
another. It is neither safe nor correct to
assume a perfect correlation between the
price of our physical commodity and the
futures contract we use to hedge it. As a
result, in the process of eliminating price
risk, we must contend with another type
of risk basis risk.
In our previous example, if the physical
commodity is needed in New York and our
futures contract is for delivery to
Louisiana, then due to the location
differential each commodity will move up
and down independently of the other.
Basis risk exists due to the inexact match
of our physical commodity and financial
tool. In short, basis risk exists due to time,
location or grade differentials.
Hedging with options
Options are a slightly different breed of
hedge tool. Where futures contracts lock
us into a price, options allow us flexibility
in not only determining what level of
hedge protection we want, but also how
much we will spend for that protection.
There are four basic options strategies:
long call, long put, short call and short put
(see EPRM December 2001, pages
3234), which can be broken down into
two categories (see table 4). These groups
are based on our physical position.
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Table 4: Breakdown of options
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Long physical
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Short physical
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Long put
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Long call
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Short call
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Short put
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A call gives the buyer of the option the
right but not the obligation to buy a
futures contract at a specified price within
a specific period of time in exchange for a
one-off premium. It obligates the seller to
sell the underlying futures contract at the
designated price, should the option be
exercised at that price. A put does the
opposite that is, it gives the buyer the
right to sell the said contract at a specified
price, and obligates the seller to buy it.
Building on our example, how would
the options affect our hedge? Once again,
being short physical, we will hedge
against rising prices with either a long call
or a short put. Looking at the long call, we
can easily see how we get the benefit of
participating when the market falls but
little or none of the unfavourable
movement when the market rises.
For example, on February 25 we decide
to hedge our July natural gas purchases.
We want to retain the ability to participate
if the market should fall, without having to
pay more than $3.20/mmBtu. By buying a
call that is, taking a long call with a
strike price of $3.20/mmBtu, we now have
the right to receive gas at $3.20/mmBtu for
the month of July.
Should prices rise to $3.50/mmBtu, our
call option will have increased by $0.30.
The increase in value of the call will offset
the rising physical price we will have to
pay. Since the call gives us the right not to
pay more than the strike price of $3.20, we
have set an absolute maximum on the price
we will pay. When used as a hedge, a call
will always be set at a price higher than the
current market price.
Of course, this participation does not
come free of charge. With options, you pay
a premium for the freedom of
participation. The premium can either be
treated as a cost of the hedge and therefore
not recoverable, or as a payment we seek
to recover as part of the hedge. In either
case, we would have to liquidate the option
prior to expiration to receive the $0.30
profit noted above.
In the case of selling a put that is,
taking a short put we would be receiving
free, but limited protection. From the sale
we would collect a premium that would
then be used as an offset against higher
market prices. Put options set floors and,
therefore, will always be set at a price
lower than the market price.
Assume we sell a put with a strike price
of $2.60/mmBtu. From this sale we will
collect a premium of, lets say, $0.30. If
the market should rise to $3.50, the buyer of
the put will not exercise the option and we
will keep the premium of $0.30. This $0.30
will be used to offset the higher price paid
for the physical commodity. The net price
paid for the physical natural gas would be
$3.20 that is, $3.50 minus $0.30.
If, on the other hand, prices fall, we
open ourselves up to some risk. Should
prices fall to $2.00/mmBtu, thanks to our
obligation to buy at the strike price of
$2.60/mmBtu, we will be paying $0.60
more for our natural gas than the rest of the
market. Although we will use the premium
to reduce our exposure down to $0.30, we
will still pay $0.30 above the market price.
This was the risk we took when
selling the option in the first place. In
fact, in return for having collected the
premium upfront, we gave up the
opportunity to participate if the market
fell below the $2.60 floor.
A final consideration when using
options is another risk on top of basis risk
delta risk. Option premiums do not
increase or decrease dollar-for-dollar
with movements in the underlying
physical. As a result, one option may not
be enough to cover profits or losses in the
underlying market.
Delta is a measure of change
specifically, with options, it measures how
much of a change in the underlying market
will be reflected in our option premium.
Delta is measured in percentage terms,
from 0 to +1 (100%) for call options and 0
to 1 (100%) for put options. Given that
our option is unlikely to have a delta of 1
that is, dollar-for-dollar movement with
the underlying we will not have adequate
coverage in our hedge. We will need to
hedge not only basis risk but also delta risk
in order to ensure a one-for-one profit or
loss between the physical commodity and
the option used to hedge.
Buyer beware
If we now consider ourselves hedge experts,
we should bear in mind one word basis.
We should have a complete understanding
of basis before entering into any hedge. And,
in conjunction with basis, we should know
the effects of delta on options. Ignoring the
effects of these two instruments does not
make them go away, but merely compounds
the risk in our portfolio.
Dan Rowe is senior energy
consultant at The Oxford Princeton Programme,
Princeton, New Jersey
e-mail: drowe@fame.com
Energy Power and Risk Management, April 2002
© 2002 Risk Waters Group. All rights reserved. Used by permission.
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