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Chapter 37: How Volatility Affects Popular Strategies
EFFECTS ON NEUTRALITY
755
A popular concept that uses delta is the "delta-neutral" spread a spread whose prof­
itability is supposedly ambivalent to market movement, at least for short time frames
and limited stock price changes. Anything that significantly affects the delta of an
option can affect this neutrality, thus causing a delta-neutral position to become
unbalanced ( or, more likely, causing one's intuition to be wrong regarding what con­
stitutes a delta-neutral spread in the first place).
Let's use a familiar strategy, the straddle purchase, as an example. Simplistically,
when one buys a straddle, he merely buys a put and a call with the same terms and
doesn't get any fancier than that. However, it may be the case that, due to the deltas
of the options involved, that approach is biased to the upside, and a neutral straddle
position should be established instead.
Example: Suppose that XYZ is trading at 100, that the options have an implied
volatility of 40%, and that one is considering buying a six-month straddle with a strik­
ing price of 100. The following data summarize the situation, including the option
prices and the deltas:
XYZ Common: l 00; Implied Volatility: 40%
Option
XYZ October l 00 call
XYZ October l 00 put
FIGURE 37-2.
Price
12.00
10.00
Delta
0.60
-0.40
Value of delta of a 6-month option at differing implied volatilities.
90
80
70
.!!l
ai 60
Cl
C: 50 ,g
8° 40
30
20
10
60 80 100
Stock Price
120 140