FUTURES OPTIONS VS. CONVENTIONAL FUTURES:

WHEN TO USE WHICH

Russ Ray

Department of Finance
University of Louisville

Louisville, Kentucky

In October of 1982, the Chicago Board of Trade introduced a remarkably
innovative futures contract - options on Treasury bond futures - which
offers some very impressive risk-management features not afforded by
conventional futures. Unlike prior futures contracts, this particular contract
was immediately successful. Indeed, the volume in this first-ever "futures
option" has already exploded to over ten million contracts per year, and
continues to grow. The twofold purpose of this article is to articulate these
new risk-management opportunities for money managers, and to compare
the hedging effectiveness of this new instrument with that afforded by
conventional futures.

Options are Options

Futures options are essentially the same as any other options: calls or puts
can be either bought or written (sold). As with other options, buyers of
futures options post no margins; writers do. Hedging with futures options is
transacted by buying _. not writing - calls and puts.

Call Options

A call option on futures gives the buyer the right to assume a long position
in the underlying futures contract anytime before the expiration of the
option. Upon exercise of the option, the exercise (or striking) price of the
option becomes the futures contract price. The risk of being adversely
affected by falling interest rates can be hedged by buying call options on
futures.

Consider, for example, a pension-fund manager who has just been noti-
fied that three months from now he'll receive a significant sum of money to
invest for long-term purposes. The manager intends to invest the funds in
U.S. Treasury bonds and he can hedge this future investment against the
risk of falling interest rates in the interim by buying call options on Treasury
bond futures. (See Box 1.) Assume that it's now late May, that the September

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May
August

futures price of a Treasury bond is 75-00 (yielding 12%), and that a Septem-
ber/75 call option can be bought at a premium of $1,000. Buying a September/
75 call gives the manager the right - but not the obligation - to exercise the
option and thereafter take delivery of a Treasury bond next September at a
price of $75,000 (assuming he does not close out his futures position before
then).

Suppose that, by August, yields on long-term U.S. Treasury bonds do in
fact drop to 10%, causing the September futures price to rise from 75-00 to
85-00. Because exercise of the call option would result in an immediate
$10,000 gain per bond (by virtue of being able to sell a September bond at
$85,000 after having bought it at $75,000), the premium on each call option
will reflect at least this intrinsic value. Assuming no time value, each of the
manager's September/75 calls will rise in value to $10,000.

BOXl
HEDGING COSTS/BOND USING CALL FUTURES

Hedge: Protect a planned, future investment against the risk of falling
interest rates in the interim by buying call options on futures.

Interest Current Price/Bond of Hedging
Rate September Investment Strategy
12% $75,000 Buy Sep/75 calls @ $ 1,000
10% $85,000 Sell Sep/75 calls @ $10,000

Loss = $10,OOOlbond Gain = $9,000/bond
Net Loss = $l,Ooolbond = Cost of the option

Consequently, when the manager lifts his hedge by selling his September/
75 calls, the net gain of $9,000 per bond ($10,000 premium revenue less
$1,000 premium cost) will roughly offset the $10,000 extra cost of each spot
Treasury bond ($85,000 August price less $75,000 May price) resulting from
the decline in interest rates. Alternatively, the manager could have exercised
his options and thereafter taken delivery of the Treasury bonds in Septem-
ber for $85,000 each. Selling. the options would, of course, be much easier
than taking actual delivery of the Treasury bonds. Either way, the bottom-
line cost of the hedge per bond is the $1,000 cost of the option. More
importantly, this $1,000 hedging cost per bond is but a small fraction of the
$10,000 extra cost the manager would have paid for each of his bonds had he
not hedged. The unique advantages of a futures-option hedge over a hedge
utilizing conventional futures will be enumerated following a brief discus-
sion of put options.

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Put Options

Put options - which give buyers the right to assume a short position in
the underlying futures contract - enable their holders to hedge against the
risk of rising interest rates. Suppose a portfolio manager wanted to protect
the value .of a Treasury bond currently price at 80-00 (yielding 11 %) against
the risk of rising interest rates. (See Box 2.) Suppose also that the premium
on a December/80 put option were $500. The manager could protect the
value of his spot bond against the risk of rising interest rates by buying a
December/SO put which gives him the right - but not the obligation - to
exercise the option and thereafter sell a· deliverable Treasury bond next
December for $80,000. If interest rates subsequently rose from, say, 11 % to
13%,causing the value of his spot bond to drop from 80-00 to 70-00, then his
put option would be worth (at least its intrinsic value of) $1,000. The $9,500
increase in the value of his option would roughly offset (and, most likely,
more than offset, if time value were considered) the $10,000 decrease in the
value of his spot bond. Again, the bottom-line cost of the hedge is the $500
cost of the option.

BOX 2
HEDGING COSTS/BOND USING PUT FUTURES

Hedge: Protect the value of a portfolio against the risk of rising interest rates
by buying put options on futures.

Now
Later

Interest Portfolio
Rate Value
11% $80,000
13% $70,000

Loss = $10,ooO/bond
Net Loss = $500 = Cost of the option

Hedging
Strategy

Buy Dec/80 puts @ $ 500
Sell Dec/SO puts @ $10,000

Gain = $9,500/bond

The Advantages of Futures Options

The advantages of hedging with futures options instead of with conven-
tional futures are impressive. First, the major advantage is that futures
options allow hedgers to avoid potentially adverse interest rates, yet still
benefit from more favorable interest rates. Such a feature is unique to this
new instrument and is not afforded by conventional futures which require a
hedger to forfeit more favorable interest rates.

Thus, in the first example, the manager who hedged against the risk of
falling interest rates by buying a call option effectively established an interest
rate floor for his future investment but not an interest rate ceiling. If interest
rates had subsequently risen instead of fallen, the manager could have

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simply let his option expire worthless (assuming, again, no time value) and
thereafter invested his funds at the more favorable rate. Similarly, in the
second example, the manager who hedged against the risk of rising interest
rates by buying a put option effectively established an interest rate ceiling
but not an interest rate floor. In essence, then, futures options are insurance
policies against potentially adverse interest rates, with the cost of the insur-
ance being the cost of the option(s).

A second advantage of futures options is that margins are not required, so
that the cost of hedging is generally less. If the exercise price of the option is
equal to (or at least close to) the underlying futures price - as was the case in
both of the examples above - then the cost of the option will generally be
significantly less than the cost of margin.

Finally, a third signific~~t advantage is that the cost of a futures-option
hedge is known and fixed in advance - it is simply the cost of the option.
This is not the case with conventional futures whose margins are marked to
the market daily, so that hedging against incorrect expectations can cause
unpre.dictable futures losses every day. Thus, futures options help stabilize
future cash flows.

The Disadvantage of Futures Options

The disadvantage of hedging with futures options is that option costs are
not refundable, whereas margins (on conventional futures) are. If interest
rates remain roughly unchanged over the hedging period, then the manager
hedging with futures options must incur the cost of the option regardless,
whereas the manager hedging with conventional futures will have his
margin refunded. Obviously, then, the question becomes - when <to use
which.

A Volatility Criterion

Futures options become increasingly better hedge instruments than con-
ventional futures as interest rates become more volatile. This is so because
the cost of the option is fixed, causing its hedging cost per unit of volatility to
become increasingly less as volatility increases. Such is not the case with
conventional futures whose margins are marked to the market. Moreover,
as is likely during periods of high volatility, futures options allow the hedger
to benefit from more favorable interest rates; conventional futures don't
afford this feature.

On the other hand, conventional futures are better hedge instruments
during periods of low volatility. This is so because, once the (unnecessary)
hedge is lifted, margins are refundable, whereas option costs are not.

In general, then, the when-to-use-which decision rule is rather straight-
forward. For hedging periods during which low interest-rate volatility is.
expected, conventional futures are a better hedge; for hedging periods
during which high interest-rate volatility is expected, futures options are a

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better hedge. Moreover, given that interest-rate uncertainty increases as the
length of the hedging period increases, futures options are better hedge
instruments for lengthy hedging periods.

The key, of course, in implementing this decision rule is to form an
expectation regarding interest-rate volatility. If such expectations can be
formed, then the hedging decision is rather straightforward. If interest-rate
uncertainty is so great that such expectations can't be formed, then the
hedging decision is made by default in favor of futures options which insure
against such uncertainty. In any case, money managers are able to minimize
their cost of hedging.

Conclusion

Futures options are a remarkably innovative tool with which to manage
the risk of interest-rate uncertainty. By offering several risk-management
features not afforded by conventional futures, they enable lenders, borrow-
ers, and managers of money to more efficiently manage the risks associated
with seemingly capricious interest rates. For money managers - especially
those whose fiduciary responsibilities require them to hedge prudently -
futures options are a welcome element of certainty in a world which is
otherwise.

REFERENCES

1. Chicago Board of Trade. Introducing Options on Treasury Bond Futures,
1982.

2. __. Opportunities in Options on Treasury Bond Futures, 1982.
3. __. Strategies for Buying and Writing Options on Treasury Bond Futures.
4. Ray, Russ. "Financial Futures: A Powerful Risk-Management Tool."

Management Review. June, 1983.
5. __. "A Policymaker's Guide to Financial Futures." Business and Public

Affairs. Spring, 1983.
6. __. "Financial Planning with Financial Futures." Financial Planning.

November, 1985.

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	Futures Options vs. Conventional Futures: When to Use Which