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Chapter 20: The Sale of a Straddle
Option
Jan 45 call
Jan 45 put
Total ESP
Position
short 8
short 8
Delta
0.90
-0.10
313
ESP
short 720 (-8 x .9 x 100)
long 80 (-8 x -. 1 x 1 00)
short 640 shares
Obviously, the position is quite short. Unless the trader were extremely bearish
on XYZ, he should make an adjustment. The simplest adjustment would be to buy
600 shares of XYZ. Another possibility would be to buy back 7 of the short January
45 calls. Such a purchase would add a delta long of 630 shares to the position (7 x .9
x 100). This would leave the position essentially neutral. As pointed out in the previ­
ous example, however, the strategist may not want to buy that option. If, instead, he
decided to try to buy the January 50 call to hedge the short straddle, he would have
to buy 10 of those to make the position neutral. He would buy that many because the
delta of that January 50 is 0.60; a purchase of 10 would add a delta long of 600 shares
to the position.
Even though the purchase of 10 is theoretically correct, since one is only short
8 straddles, he would probably buy only 8 January 50 calls as a practical matter.
STARTING OUT WITH THE PROTECTION IN PLACE
In certain cases, the straddle writer may be able to initially establish a position that
has no risk in one direction: He can buy an out-of-the-money put or call at the same
time the straddle is written. This accomplishes the same purposes as the follow-up
action described in the last few paragraphs, but the protective option will cost less
since it is out-of-the-money when it is purchased. There are, of course, both positive
and negative aspects involved in adding an out-of-the-money long option to the strad­
dle write at the outset.
Example: Given the following prices:
XYZ, 45;
XYZ January 45 straddle, 7; and
XYZ January 50 call, 1 ½,
the upside risk will be limited. If one writes the January 45 straddle for 7 points and
buys the January 50 call for 1 ½ points, his overall credit will be 5½ points. He has no
upside risk in this position, for if XYZ should rise and be over 50 at expiration, he will
be able to close the position by buying back the call spread for 5 points. The put will
expire worthless. The out-of-the-money call has eliminated any risk above 50 on the