Hedging with Options
Remember the farmer who hedged his soybean crop and the refiner who
hedged her gasoline sales? Let's look to see how
options could enhance their hedging strategies. The
farmer was concerned about soybeans dropping below
$7 a bushel. When using futures he could lock in his
price and protect himself from a price decline, but
could not benefit if the market rallied. Options
will allow him to participate in upside moves.
Instead of selling
futures he can buy puts to protect a downside move.
Assume the farmer purchases for $1, the August 7.00
soybean put, which expires when he plans to sell his
crop. What are the possible outcomes of this
strategy?
Scenario 1: The price
declines to $5. At expiration the farmer will sell
his put for $2, which is the intrinsic value of the
option.
1. Profit from put =
Sale price
-
purchase price
=
$2.00
- $1.00
= $1.00
2. Loss from soybeans
= $5.00 -
$7.00
=
-$2.00
Net
= $1.00 -
$2.00
=
-$1.00
The put will effectively allow him to sell the soybeans at $6. If the
farmer wanted to protect his position from dropping
below $7, as in the futures example, he could
purchase a higher strike put such as the 8.00 or
9.00 strike. The price of these puts would be more
but they would offer more downside protection. For
example, assume the 8.00 strike put was trading at
$1.50 and the 9.00 strike put was trading at $2.25.
The 8.00 and 9.00 strike put would effectively make
him short at $6.50 and $6.75, respectively.
Scenario 2: The price
rises to $10. The farmer will now be able to
participate in any upward price move, unlike the
outright futures. If soybeans rally to $10 he will
be able to sell his soybeans for $10, but the puts
will expire worthless. For example:
1. Loss from buying put = purchase price of put
=
-$1.00
2. Profit from
soybeans = $10.00 - $7.00
= $3.00
Net = $3.00 - $1.00
= $2.00
The
farmer will be able to make an extra profit of $2.
In fact, he will be able to participate in any upmove greater than
the purchase price of the put. If soybeans should go
even higher to $12 he will make an extra $4.
Scenario
3: The price remains at $7. The farmer will lose $1
on the put which will
expire worthless, and sell his soybeans at $7.
He will lose $1 in
this case.
Options expand his
hedging possibilities considerably. Using spreads
will provide even greater flexibility. For example,
the fence is a popular hedging vehicle. Recall, that
the fence is buying a call and selling a put with
different strikes (or selling a call and buying a
put with different strikes). Let's see how Rose can
use a fence to enhance her hedging possibilities.
Rose was concerned
that the current price of gasoline which was at
$0.45 might rise above $0.50 a gallon in December.
She will make a $0.05 profit if the price is $0.45 a
gallon, but breakeven if the price is $0.50 a gallon. She could buy calls to protect herself
against a price rise. She could also buy the
December 50 call-40 put fence.
1. Assume the
December 50 call and 40 put are both trading at $0.01.
2. Assume the
December 48 call is trading at $0.02.
Rose could
buy the December 48 call for $0.02 which would effectively protect
her from any price rise above $0.50.
Scenario 1: The price rises to $0.50.
1. Breakeven on the
call =
$0.02 - $0.02
=
$0.00
2. Breakeven on the gasoline =
$0.50
-
$0.50
=
$0.00
She will breakeven on
the transaction if gasoline rises anywhere above
$0.48 a gallon. For example, if gasoline rises to
$0.48 a gallon she will lose $0.02 on the call, and
make $0.02 on selling the gasoline for $0.50 a
gallon.
Scenario 2: The price
drops to $0.40.
1. Loss on the call
=
purchase price
=
-$0.02
2. Profit on
the gasoline =
$0.50 - $0.40
=
$0.10
She will do
considerably better and make $0.08 a gallon instead of her originally expected profit of $0.05.
Scenario 3: The price
remains the same.
1. Loss on the call
=
-$0.02
2. Profit on the
gasoline =
$0.50 - $0.45
= $0.05
She
will make $0.03 a gallon which is less than
anticipated, hut remember, she is now protected from any price increase. She has in essence paid
an insurance premium or the price of the option for
this protection.
How would a fence change her profit and loss opportunities? Assume she
bought the December 50 call for $0.01 and sold the
December 40 put for $0.01. She would be buying the
fence for even money. Her profit and loss
possibilities follow:
Scenario 1: The price
rises to $0.50.
1. Lose $0.01 on the
call, but make $0.01 breakeven on the
fence.
2. Breakeven on the
gasoline.
She will breakeven
above $0.50 a gallon.
Scenario 2: The price
falls to $0.40.
1. Breakeven on the
fence again.
2. Profit from the
gasoline =
$0.50
-
$0.40
=
$0.10
She will make a $0.10
profit on the transaction.
Scenario 3: The price
remains the same.
1. Breakeven on the
fence again.
2. Profit from the
gasoline =
$0.50 - $0.45
=
$0.05
She will make a $0.05
profit on the transaction.
Notice how the fence has enhanced her profit opportunities versus buying
the call outright. However, if the price of gasoline
drops below $0.38, the outright purchase of the call
would prove more profitable.
These are a few of the many strategies which can be employed when
hedging with options. There are many other
strategies which are particular to the market and
hedger. As in speculating there is no good or bad
strategy with options, but instead, a set of
opportunities which should enhance the profit
possibilities of the intelligent hedger,
no good or bad strategy with options, but instead, a set
of opportunities which should enhance the profit
possibilities of the intelligent hedger.