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OPTION TrAdINg STrATegIeS
Strategy 3b: Long Call (Out-of-the-Money)
exAMPle. Buy August $1,300 gold futures call at a premium of $9.10/oz ($910), with August gold
futures trading at $1,200/oz. (See Table 35.3b and Figure 35.3b.)
Comment. The buyer of an out-of-the-money call reduces his maximum risk in exchange for accept-
ing a smaller probability that the trade will realize a profit. By definition, the strike price of an out-of-
the-money call is above the current level of futures. In order for the out-of-the-money call position
to realize a profit, the futures price (as of the time of the option expiration) must exceed the strike
price by an amount greater than the premium ($9.10/oz in this example). Note that in the out-of-
the-money call position, price increases that leave futures below the option strike price will still result
in a maximum loss on the option. The long out-of-the-money call might be a particularly appropriate
position for the trader expecting a large price advance, but also concerned about the possibility of a
large price decline.
It should be emphasized that the futures price need not necessarily reach the strike price in order
for the out-of-the-money call to be profitable. If the market rises quickly, the call will increase in
value and hence can be resold at a profit. (However, this characteristic will not necessarily hold true
for slow price advances, since the depressant effect of the passage of time on the option premium
could more than offset the supportive effect of the increased price level of futures.)
For small price changes, the out-of-the-money call will change by less than a factor of one-half for
each dollar change in the futures price. Thus, for small price changes, each long futures position will
be equivalent to several long out-of-the-money calls in terms of risk.
tabLe 35.3b profit/Loss Calculations: Long Call (Out-of-the-Money)
(1) (2) (3) (4) (5)
Futures price at
expiration ($/oz)
premium of august
$1,300 Call at
Initiation ($/oz)
$ amount of
premium paid
Call Value at
expiration
profit/Loss on
position [(4) (3)]
1,000 9.1 $910 $0 $910
1,050 9.1 $910 $0 $910
1,100 9.1 $910 $0 $910
1,150 9.1 $910 $0 $910
1,200 9.1 $910 $0 $910
1,250 9.1 $910 $0 $910
1,300 9.1 $910 $0 $910
1,350 9.1 $910 $5,000 $4,090
1,400 9.1 $910 $10,000 $9,090