Options contracts on federal funds futures, a new financial instrument introduced earlier this year, can be analyzed to gauge public expectations of future Fed actions. The real bonus is that they can detect differences of opinion when markets see more than two possible outcomes for an FOMC meeting as well as the likelihood associated with each.Options (Finance) ; Federal funds rate ; Federal Open Market Committee

Erkin Y. Sahinoz

John B. Carlson

William R. Melick

English

Research Papers in Economics

Thus, a buyer (or seller) can “lock in” 
a certain interest rate on a borrowed 
(or loaned) amount—specified to be 
$5 million for each contract. In practice
the loan is not extended; rather, the 
difference between the market rate and
the settlement rate is settled in cash.
Fed funds futures have a number of
characteristics that distinguish them
from other futures. These characteristics
reflect unique institutional details of the
underlying market. For example, unlike
interest rates on car loans or mortgages,
the fed funds rate is on average aligned
with the target federal funds rate, which
is chosen as a deliberative act of policy-
makers. The fed funds market provides a
convenient outlet in which banks can
buy or sell reserves to offset both the
anticipated and unanticipated impact of
payments on their reserve positions. 
The ultimate supplier of reserves is the
Federal Reserve, which provides them
either through open market operations—
performed by the Domestic Trading
Desk at the New York Fed—or lending
at the discount window. 
Open market operations are guided by
the objective of supplying the amount of
reserves necessary to achieve a target for
the federal funds rate. Although the fed
September 1, 2003
Federal Reserve Bank of Cleveland
An Option for Anticipating Fed Action
by John B. Carlson, William R. Melick, and Erkin Y. Sahinoz
ISSN 0428-1276
Options contracts on federal funds
futures, a new financial instrument
introduced earlier this year, can be
analyzed to gauge public expectations
of future Fed actions. The real bonus is
that they can detect differences of
opinion when markets see more than
two possible outcomes for an FOMC
meeting as well as the likelihood asso-
ciated with each.
Options on CBOT fed funds futures are
quite possibly the best means available
to express market opinions about what
the Fed might or might not do at the
upcoming meetings.
—Chicago Board of Trade
Monetary policy meetings attract
considerable media attention, especially
when the economic outlook is highly
uncertain, as it has been in recent
months. The Federal Open Market Com-
mittee (FOMC)—the Fed’s main mone-
tary policymaking arm—meets every six
weeks or so to choose a target for the
federal funds rate for the following
intermeeting period. The fed funds rate
is the interest rate paid on overnight
loans made largely between banks. It is
commonly viewed as an anchor for all
interest rates, especially at shorter matu-
rities. Immediately after a meeting, the
FOMC releases a statement explaining
its decision. The statement language is
analyzed carefully by market analysts
for any clue about actions the FOMC
might take in the future.
Just prior to an FOMC meeting, the
financial press is rife with speculation
about the likelihood of possible Fed
actions. For example, one might read an
account that purports “even odds” of a
rate cut of 
1/4percentage point or 25 basis
points—the smallest increment the
FOMC typically employs. Odds assess-
ments are sometimes based on an inter-
pretation of fed funds futures prices from
contracts around the meeting month.
Because such futures effectively entitle
holders to borrow at some future date at a
specified rate, their prices reflect an opin-
ion about anticipated policy actions.
Unanticipated actions and surprises in the
policy statement, in turn, induce immedi-
ate changes in fed funds futures prices.
The implied rates derived from fed funds
futures prices have produced accurate
predictions of the actual funds rate over
horizons of a few months. 
One limitation of using futures as a pre-
dictor, however, is that the implied futures
rates reveal little or nothing about the dis-
tribution of beliefs. For example, suppose
the implied future rate is 12
1/2basis points
below the current fed funds rate. Does this
suggest even odds of a 25 basis point cut?
Or is it possible that a few market partici-
pants expect a 50 basis point cut while the
majority expect no change?  Predictors
that do account for such variance in
beliefs can be obtained, in principle, from
another financial instrument known as an
option. Options on fed funds futures are
very new—in March, the Chicago Board
of Trade (CBOT) began to offer them due
partly to an increase in the volume of
trading in the futures contract. 
This Economic Commentary describes
the new option and develops the intu-
ition behind the notion that information
on the distribution of opinion may be
derived from options prices. Estimates of
the probabilities of alternative July out-
comes are reported for the day before
and the day after the May and June
FOMC meetings. The estimates are con-
sistent with opinion as revealed in the
financial press. The reader not familiar
with or in need of review of the termi-
nology associated with options or
futures is referred to the sidebar on the
next page.
■ Fed Funds Futures
Fed funds futures are interest rate futures
contracts that are based on the monthly
average fed funds rate for each month
traded. In simple terms, one can think of
the contract as specifying a predeter-
mined average rate for a given month.funds rate may vary day to day in
response to uncontrollable market fac-
tors, Desk actions are generally success-
ful in achieving the target on average.
The monthly mean deviation from the
target is zero over the past five years
with a standard deviation of 5 basis
points. Thus, the monthly average funds
rate is effectively determined by the
deliberative act of the FOMC through
its choice for the funds rate target.
Fed funds futures contracts are listed on
the CBOT for the current month and for
each of the 24 months that follow. The
futures settlement price is calculated as
100 minus the monthly average of the
overnight fed funds rates. For example,
the July contract settlement price on
May 7 of 98.905 implies a futures rate
of 1.095 percent.
The correspondence between the rate
implied by the futures price and the
expected fed funds target rate is straight-
forward since there is no evidence of bias
when the two-months-ahead futures
price is used to forecast the actual fed
funds effective rate. Thus, the May 7 
settlement price for July was factoring in
some probability of a rate cut from the
then-current target rate of 1.25 percent. 
Now assume for the moment that in
May, market participants expected the
choice at the June 25 FOMC meeting to
be limited to either no change or a cut of
25 basis points and no other change
before August. Under this assumption,
one might draw the conclusion that the
July settlement price implied that a cut
was more likely than no change since the
expected rate was below an even-odds
expected rate of halfway between 1.25
and 1.00, that is, 1.125 percent. As long
as one assumes only two outcomes, one
can calculate odds from a single futures
price. Because with only two choices,
the probability of no change must equal
one minus the probability of a 25 basis-
point cut; only one piece of information
is necessary to pin down the odds. 
Reports in the financial press, however,
suggested that market expectations were
not limited to only two possible policy
outcomes. The New York Times business
section, for example, reported on May 9
that some investment banks were
expecting a rate cut of 50 basis points.
Thus, it is more reasonable to assume
that in May market participants were
expecting at least three possible out-
comes for the June meeting. In this case,
one needs information from at least two
independent sources. The newly traded
options on fed funds futures provide a
potential source of such information.
■ Fed Funds Futures Options
As described more completely in the
sidebar at left, an option is a contract
that allows one to buy (call) or sell (put)
some asset at a preset price on or before
some specified expiration date. The pre-
set price is known as an exercise or
strike price. The new option on fed
funds futures is an option to buy (in the
case of a call) or sell (in the case of a
put) one fed funds contract with strike
price intervals of 6
1/4basis points. It is an
American option, meaning that it may
be exercised any time on or before its
expiration date.
In both goods and asset markets, prices
may experience periods of high variabil-
ity and relative stability. For example,
crude oil prices are enormously volatile
during periods of geopolitical uncer-
tainty but can also exhibit long periods
with little change in prices. If under-
lying prices become more volatile, this
increases the chance of a large payoff
for the options owner, but it does not
increase the chance of a large loss since
the owner can always choose not to
exercise the option.  Hence, the option’s
price will increase with increases in the
underlying asset’s volatility. Thus, an
option’s price will be related to market
views about future volatility in the price
of the underlying good or asset. How-
ever, even more detailed information
can be extracted if options are being
traded at several different strike prices.  
Options prices typically differ across
alternative strike prices, a difference that
reflects the distribution of underlying
opinion. For example, consider two call
options, one with a high strike price and
one with a low strike price. The option
with the low strike price will always be
at least as valuable and almost always
more valuable than the option with the
high strike price because it is more
likely that the underlying price will
Options, Futures, and Futures Options 
Options are financial claims that take one of two basic forms: 
• A call option is a claim that gives its owner the right to purchase some asset
for a specified price—known as an exercise or strike price—on or before a
specified expiration date. 
When an option contract allows for exercise any time on or before the expi-
ration date, it is called an American option. Options that allow for exercise
only at maturity are known as European options. If the market price of the
asset is above the strike price, the call option is said to be “in the money.”
With an American option, the owner can immediately “call away” the asset
and earn a profit equal to the difference between the market price and the
strike price. With a European option, the owner would have to wait until
expiration to earn a profit.
• A put option, on the other hand, gives its holder the right to sell some asset
for a specified price on or before some specified date. An owner of a put
will exercise the claim only when the market price is below the exercise
price. 
It is worth noting that options are created only by an act of buying and sell-
ing. Thus, for every owner of an option there must be a seller, called an
option writer. The seller confers the rights of the option for a payment, the
price of the option. Thus, an owner or holder of an option has all the rights
and the seller has all the obligations. One might think of the right to exer-
cise as the product the option writer sells.
An option on a future or a futures option is one that takes a futures contract as
the underlying asset. A futures contract calls for delivery of an asset or some
derived cash value at a specified delivery date for an agreed-upon price—a
futures price—to be paid at a specified date. Most options on futures are cash
settled, meaning that the option writer must provide the cash equivalent of the
difference between the futures price and the strike price to the option buyer. exceed the lower strike price. The big-
ger the difference between the low and
high option prices, relative to the differ-
ence in the strike prices, the higher the
probability market participants assign
to the price of the underlying asset set-
tling above the low strike price but
below the high strike price. If, on the
other hand, the difference between the
low and high options prices is not sig-
nificantly different from the difference
in the strike prices, then market partici-
pants see only a small chance of the
underlying asset price settling between
the two strike prices. Thus, in principle,
options written on several strike prices
reveal a greater amount of information
about market opinion than the single
underlying futures price.
Because their underlying prices are
based on a deliberative choice, fed
funds futures prices will reflect opinion
on probabilities of a limited set of out-
comes, whereas changes in competitive
market prices typically arise from a dis-
tribution resembling a bell curve. For
example, in early May, market analysts
might have conceivably expected three
outcomes for the meeting in late June:
no change, a 25 basis point cut, or a 
50 basis point cut. For each possible
outcome there is, in principle, a corre-
sponding probability. 
■ Estimating the Probabilities
of Policy Outcomes 
Panel A of figure 1 reveals estimates of
the probabilities for each of these three
possible outcomes as reflected in options
prices for the July fed funds futures 
contract on May 5 and May 7, the days
prior to and after the FOMC meeting.
Given the rarity of intermeeting policy
actions, it is reasonable to assume no
further action will be taken between the
June 25 and the August 12 meetings.
Hence, the three outcomes would corre-
spond to average fed funds yields for
July of 0.75 percent, 1 percent, and 
1.25 percent. Our example, therefore,
embodies an assessment in early May 
of the probabilities for each of the con-
sidered outcomes for the forthcoming
June meeting. 
Interestingly, the implications of our
results contrast with the opinion one
might draw from a simple assessment
based on just the fed funds futures price.
For example, because the fed funds
futures price on that day was more than
halfway between no change and a 25
basis point cut, one might interpret the
odds of a cut being greater than 50/50.
Our estimates of the probabilities of a
change by July are less than 50/50 in the
days around the May meeting. They
suggest that the probability of no change
in the target rate is about 0.6. The proba-
bility of a change is thus 0.4, but if a
change occurs, the market expects a 
50 basis point cut to be more likely than
a 25 basis point cut. Given that the 
estimates did not vary substantially
between the two days, the statement
released at the end of the May 6 FOMC
meeting appears to have had no measur-
able effect on the distribution of opinion
about July.
As the June FOMC meeting approached,
however, the odds shifted in favor of a
rate cut. Panel B of figure 1 shows that
our estimates based on options prices the
day before the meeting place the highest
odds on a 50 basis point cut, with very
small probability of no change. After the
25 basis point cut was announced, mar-
ket participants saw little chance of an
intermeeting move that would further
change the target rate in July. The odds
of remaining at a target of 1.0 percent
were greater than 9 out of 10.
The calculations behind figure 1 are
subject to some limitations. First, the
probabilities shown are recovered under
the assumption that market participants
are risk neutral or indifferent to risk.
That is, the calculations assume that
market participants would be indifferent
between receiving $1 in the future and a
50/50 chance of receiving $0 or $2 in
the future. This may not be problematic
if large institutions that are relatively
indifferent to risk dominate trading in
this market. Second, to simplify the 
calculations, we assumed that the
SOURCE:  Probabilities are calculated by the authors using prices from options on July 2003 federal funds futures that trade on the Chicago Board of Trade.
FIGURE 1 IMPLIED PROBABILITIES FOR ALTERNATIVE JULY TARGET FEDERAL FUNDS RATES
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.75
(50 bp rate cut)
1.00
(25 bp rate cut)
1.25
(no change)
Probability
May 5, 2003
May 7, 2003
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
0.75
(6/24 = 50 bp cut
6/25 = 25 bp cut)
1.0
(6/24 = 25 bp cut
6/26 = no change)
1.25
(6/24 = no change
6/25 = 25 bp hike)
Probability
June 24, 2003
June 26, 2003
Panel A:  May 5 and 7, 2003 Panel B:  June 24 and 26, 2003Federal Reserve Bank of Cleveland
Research Department
P.O. Box 6387
Cleveland, OH 44101
Return Service Requested:
Please send corrected mailing label to
the above address.
Material may be reprinted if the source is
credited. Please send copies of reprinted
material to the editor.
John B. Carlson is an economic advisor at
The Federal Reserve Bank of Cleveland.
William R. Melick is an associate professor of
economics at Kenyon College and a research
associate at the Federal Reserve Bank of
Cleveland, and Erkin Sahinoz is an economic
research analyst at the Bank. The authors
thank Ben Craig for helpful discussions.
The views expressed here are those of the
authors and not necessarily those of the Fed-
eral Reserve Bank of Cleveland, the Board of 
Governors of the Federal Reserve System, or
its staff. 
Economic Commentary is published by the
Research Department of the Federal Reserve
Bank of Cleveland. To receive copies or to be
placed on the mailing list, e-mail your request
to 4d.subscriptions@clev.frb.org or fax it to
216-579-3050. Economic Commentary is also
available at the Cleveland Fed’s site on the
World Wide Web: www.clev.frb.org/research,
where glossaries of terms are provided.
We invite comments, questions, and sugges-
tions. E-mail us at editor@clev.frb.org.
PRSRT STD
U.S. Postage Paid
Cleveland, OH
Permit No. 385
options are European when they are
actually American. This assumption will
have no material impact on the recov-
ered probabilities because, according to
options pricing theory, the options used
in the calculations were not likely to be
exercised early. Finally, and most impor-
tantly, the trading volumes for these new
option contracts are still relatively small.
Trading may not be sufficiently deep to
reflect broad market opinion. If the mar-
ket for these options develops, we could
have much more confidence in the prob-
abilities that are recovered. 
■ A Promising New Predictor?
The CBOT’s new option on fed funds
futures has been advertised as quite
possibly the best means available to
express market opinions about what the
Fed might or might not do at the
upcoming meetings. Whether the new
instrument lives up to such a billing
remains to be seen. Nevertheless,
options do contain potential informa-
tion not revealed in futures prices alone.
Indeed, under some reasonable assump-
tions, one may estimate the distribution
of opinion on expected policy actions at
upcoming meetings. We offer one such
estimate. Though very preliminary, our
results suggest that the new option
shows promise in revealing a deeper
assessment of market opinion. 
■ Recommended Reading
Kenneth Kuttner, 2001, “Monetary Pol-
icy Surprises and Interest Rates: Evi-
dence from the Fed Funds Futures Mar-
ket.” Journal of Monetary Economics,
vol. 47, no. 3, pp. 523–44.
Ed Nosal, 2001, “How Well Does the
Federal Funds Futures Rate Predict the
Future Federal Funds Rate?” Federal
Reserve Bank of Cleveland, Economic
Commentary, October 1.
Ben Craig, 2002, “Options and the
Future: What Do Markets Think?” 
Federal Reserve Bank of Cleveland,
Economic Commentary, October 1.
Daniel Altman, 2003, “Fed Is Starting
to Fret over Falling Prices.” New York
Times, Business Section (Section C),
May 9.
Chicago Board of Trade,
<http://www.cbot.com/>.

An option for anticipating Fed action

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An option for anticipating Fed action

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