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504A COMPleTe gUIde TO THe FUTUreS MArKeT
Comment. The long put is a bearish strategy in which maximum risk is limited to the premium paid
for the option, while maximum gain is theoretically unlimited. However, the probability of a loss is
greater than the probability of a gain, since the futures price must decline by an amount exceeding
the option premium (as of the option expiration) in order for the put buyer to realize a profi t. Two
specifi c characteristics of the at-the-money option are:
1. The maximum loss will be realized only if futures are trading at or above their current level at
the time of the option expiration.
2. For small price changes, each $1 change in the futures price will result in approximately a $0.50
change in the option price (except for options near expiration). Thus, for small price changes, a
net short futures position is equivalent to approximately 2 put options in terms of risk.
Strategy 5 b: Long put (Out-of-the-Money)
example . Buy August $1,100 gold futures put at a premium of $10.10 /oz ($1,010). (The current
price of August gold futures is $1,200/oz.) (See Table 35.5 b and Figure 35.5 b.)
Comment. The buyer of an out-of-the-money put reduces his maximum risk in exchange for accept-
ing a smaller probability that the trade will realize a profi t. By defi nition, the strike price of an out-of-
the-money put is below the current level of futures. In order for the out-of-the-money put position
Price of August gold futures at option expiration ($/oz)
Futures price at time
of position initiation
and strike price
Breakeven price = $1,161.30
Profit/loss at expiration ($)
1,000
10,000
7,500
5,000
5,000
2,500
2,500
0
17,500
15,000
12,500
1,050 1,100 1,150 1,200 1,250 1,300 1,350 1,400
FIGURE  35.5a Profi t/loss Profi le: long Put (At-the-Money)