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Chapter 39: Volatility Trading Techniques 815
ing, he is generally talking about implied volatility. Thus, it makes sense to know where
implied volatility is within the range of the past readings of implied volatility. If volatil­
ity is low with respect to where it usually trades, then we can say the options are cheap.
Conversely, if it's high with respect to those past values, then we can say the options are
expensive. These conclusions do not draw on historical volatility.
The percentile of implied volatility is generally used to describe just where the
current implied volatility reading lies with respect to its past values. The "implied
volatility" reading that is being used in this case is the composite reading - the one
that takes into account all the options on an underlying instrument, weighting them
by their distance in- or out-of-the-money (at-the-money gets more weight) and also
weighting them by their trading volume. This technique has been referred to many
times and was first described in Chapter 28 on mathematical applications. That com­
posite implied volatility reading can be stored in a database for each underlying
instrument every day. Such databases are available for purchase from firms that spe­
cialize in option data. Also, snapshots of such data are available to members of
www.optionstrategist.com.
In general, most underlying instruments would have a composite implied
volatility reading somewhere near the 50th percentile on any given day. However, it
is not uncommon to see some underlyings with percentile readings near zero or 100%
on a given day. These are the ones that would interest a volatility trader. Those with
readings in the 10th percentile or less, say, would be considered "cheap"; those in the
90th percentile or higher would be considered expensive.
In reality, the percentile of implied volatility is going to be affected by what the
broad market is doing. For example, during a severe market slide, implied volatilities
will increase across the board. Then, one may find a large number of stocks whose
options are in the 90th percentile or higher. Conversely, there have been other times
when overall implied volatility has declined substantially: 1993, for example, and the
summer of 2001, for another. At those times, we often find a great number of stocks
whose options reside in the 10th percentile of implied volatility or lower. The point
is that the distribution of percentile readings is a dynamic thing, not something stat­
ic like a lognormal distribution. Yes, perhaps over a long period of time and taking
into account a great number of cases, we might find that the percentiles of implied
volatility are normally distributed, but not on any given day.
The trader has some discretion over this percentile calculation. Foremost, he
must decide how many days of past history he wants to use in determining the per­
centiles. There are about 255 trading days in a year. So, if he wanted a two-year his­
tory, he would record the percentile of today's composite implied volatility with
respect to the 510 daily readings over the past two years. This author typically uses