November 2012 | Vol. 3 No. 7
M O N T H LY THE
OPTION
TR ADERS
JOURNAL
Correlation Risk
as a Tradable Factor and Return Predictor
The Evolution of the
Holiday Effect in VIX Futures
Does the Position
Fit the Trade?
The Predictive Value of SKEW
Contents
M O N T H LY THE
OPTION
TR ADERS
4
Editor’s Notes Bill Luby
JOURNAL
5
The Predictive Value of Skew Mark Sebastian
Editorial
7
Bill Luby
Does the Position Fit the Trade? Andrew Giovinazzi
Jared Woodard Mark Sebastian
9
Correlation Risk as a Tradable Factor and
Return Predictor
Andrew Giovinazzi
Jared Woodard
D e s i g n / l ay o u t
11
Lauren Woodrow
The Evolution of the Holiday Effect in VIX Futures Bill Luby
C o n ta c t I n f o r m at i o n
Editorial comments:
[email protected] Advertising and Sales Expiring Monthly President Mark Sebastian:
[email protected] Phone: 773.661.6620
The information presented in this publication does not consider your personal investment objectives or financial situation; therefore, this publication does not make personalized recommendations. This information should not be construed as an offer to sell or a solicitation to buy any security. The investment strategies or the securities may not be suitable for you. We believe the information provided is reliable; however, Expiring Monthly and its affiliated personnel do not guarantee its accuracy, timeliness, or completeness. Any and all opinions expressed in this publication are subject to change without notice. In respect to the companies or securities covered in these materials, the respective person, analyst, or writer certifies to Expiring Monthly that the views expressed accurately reflect his or her own personal views about the subject securities and issuing entities and that no part of the person’s compensation was, is, or will be related to the specific recommendations (if made) or views contained in this publication. Expiring Monthly and its affiliates, their employees, directors, consultants, and/ or their respective family members may directly or indirectly hold positions in the securities referenced in these materials. Options transactions involve complex tax considerations that should be carefully reviewed prior to entering into any transaction. The risk of loss in trading securities, options, futures, and forex can be substantial. Customers must consider all relevant risk factors, including their own personal financial situation, before trading. Options involve risk and are not suitable for all investors. See the options disclosure document Characteristics and Risks of Standardized Options. A copy can be downloaded at http://www.optionsclearing.com/about/publications/ character-risks.jsp. Expiring Monthly does not assume any liability for any action taken based on information or advertisements presented in this publication. No part of this material is to be reproduced or distributed to others by any means without prior written permission of Expiring Monthly or its affiliates. Photocopying, including transmission by facsimile or email scan, is prohibited and subject to liability. Copyright © 2012, Expiring Monthly.
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November 2012
2
About the
Expiring Monthly Team Bill Luby
Bill is a private investor whose research
Mark Sebastian
Mark is a professional option trader
and trading interests focus on volatility,
and option mentor. He graduated
market sentiment, technical analysis,
from Villanova University in 2001 with
and ETFs. His work has been has been
a degree in finance. He was hired into
quoted in the Wall Street Journal,
an option trader training program by
Financial Times, Barron’s and other
Group 1 Trading. He spent two years
publications. A contributor to Barron’s
in New York trading options on the
and Minyanville, Bill also authors the VIX
American Stock Exchange before
and More blog and an investment
moving back to Chicago to trade SPX
newsletter from just north of San
and DJX options For the next five
Francisco. He has been trading options since 1998. Prior to becoming a full-time investor, Bill was a business strat-
years, he traded a variety of option products successfully, both on and off the CBOE floor.
egy consultant for two decades and advised clients across a
In December 2008 he started working as a mentor at Sheridan
broad range of industries on issues such as strategy formula-
Option Mentoring. Currently, Mark writes a daily blog on all
tion, strategy implementation, and metrics. When not trading or
things option trading at Option911.com and works part time
blogging, he can often be found running, hiking, and kayaking
as risk manager for a hedge fund. In March 2010 he became
in Northern California.
Director of Education for a new education firm OptionPit.com.
Bill has a BA from Stanford University and an MBA from Carnegie-Mellon University.
Jared Woodard
Andrew Giovinazzi
the financial markets after graduating
Jared is the principal of Condor
from the University of California, Santa
Options. With over a decade of
Cruz with a B.A. in Economics in 1989.
experience trading options, equities,
He joined Group One, Ltd. and quickly
and futures, he publishes the Condor
became a member of the Pacific Stock
Options newsletter (iron condors) and
Exchange (and later the CBOE), where
associated blog.
he traded both equity and index
Jared has been quoted in various
options over a 15 year span. During
media outlets including The Wall Street Journal, Bloomberg, Financial Times Alphaville, and The Chicago Sun-Times. He is also a contributor to TheStreet’s Options Profits service. In 2008, he was profiled as a top options mentor in Stocks, Futures, and Options Magazine. He is also an associate member of the National Futures Association and registered principal of Clinamen Financial Group LLC, a commodity trading advisor. Jared has master’s degrees from Fordham University and the University of Edinburgh.
Andrew Giovinazzi started his career in
that period he never had a down year. At the same time, Andrew started and ran the Designated Primary Market Marker post for GroupOne on the floor of the CBOE. It became one of the highest-grossing posts for the company in 1992 and 1993. While actively trading, Andrew was instrumental in creating and managing an option trader training program for Group One. He left Group One, Ltd. to co-found Henry Capital Management in 2001. Andrew then joined Aqumin LLC (2008–2011) to help bring 3D quoting and analysis to financial data. He is Chief Options Strategist at Option Pit.
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November 2012
3
Editor’s
Notes Bill Luby it has been an exciting month for options traders, with
Instead of thinking of my gift list this holiday season, I
the never-ending Greek drama keeping the euro zone on
find myself contemplating some seasonal quirks in volatility
edge, elections in the United States, a leadership transi-
in “The Evolution of the Holiday Effect in VIX Futures.”
tion in China and of course the seemingly inexorable march
Whether your wish list includes higher volatility or lower
toward the fiscal cliff. Yet with all the drama, the November
volatility, all of us at Expiring Monthly wish you a happy,
expiration cycle was another relatively quiet one for volatil-
healthy and profitable holiday season.
ity, with the VIX now unable to rise above the teens for four months and counting. In the November issue, Expiring Monthly tackles a num-
As always, readers are encouraged to send questions, comments or guest article contribution ideas to editor@ expiringmonthly.com.
ber of timely issues. Mark Sebastian offers up some pioneering research and analysis of the CBOE SKEW Index and its
Have a good expiration cycle,
suitability as a tool for helping to predict the direction of the VIX. Elsewhere, Andrew Giovinazzi takes a hard look at real-
Bill Luby Contributing Editor
ized volatility and the “range of motion” in the underlying as a determinant in structuring positions that are best suited for specific volatility regimes. Jared Woodard extends his recent work on volatility risk premium with a look at correlation risk premium and in the process analyzes some of the findings presented in “OptionImplied Correlations and the Price of Correlation Risk,” a recent paper by Driessen, Maenhout, and Vilkov.
www.expiringmonthly.com
November 2012
4
The Predictive Value
of Skew Mark Sebastian
skew is a term used in several
opposite assumption. When the SKEW
different ways. The two most common
Index is steep, the market has hedged
ways I hear is the spread between
against a sell-off, and thus there are
months (although generally that is
serious head winds to a major sell-off.
tradable results. Basically, no matter
referred to as term structure). The
My goal was to determine whether the
where the VIX is, or where the VIX has
other and more common use of the
SKEW Index could be a leading indicator
been, a steep skew in and of itself is
term has to do with the relation of the
for the VIX. Will the VIX go up or down
not a good determinant of VIX direction
level of implied volatility of puts rela-
if the SKEW Index is overly flat or steep?
and produces results that are consis-
tive to the ATM options or OTM calls.
Let’s start with overly steep. Since
tently a coin flip. To be honest, the results did not
Shops use several different methods
2004, when the VIX switched its cal-
to measure skew. Many use the 25
culating methodology, the average
surprise me, the purchase of insur-
delta call relative to the 25 delta put
price of skew has been 119.54, with a
ance happens in times when we are in
at either 30, 60 or 90 days to expira-
median number of 119.42. I ran sev-
panic and when we are in calm. I then
tion. Others measure puts and calls
eral tests, if the SKEW Index was above
began to study whether flat skewness
relative to ATM option (my preferred
the mean for the previous 5 days, did
was more predictive than its cousin. I
method). The CBOE SKEW Index uses
the VIX over the next day increase?
fully expected to find something; how-
the relation of far out-of-the-money
The answer was yes, but only as often
ever, I have to admit, I was surprised
puts (sometimes called tail risk puts,
as it decreased. If the VIX was up and
by the results. Across many iterations,
swan puts, or units) relative to more
the SKEW Index was up, did that lead
the first real piece of useful data was
standard OTM puts.
to anything? Again the answer was no.
that when skew was below its mean,
Every test I ran came back with non-
falling, and the VIX decreased. Over
This is a much different approach to skew, instead of telling traders how
CBOE.com
expensive OTM puts that could conceivably come into play are relative to ATM options, the CBOE has chosen to measure how expensive a put is that would really only come into play in the event of the a black swan. Furthermore, it’s measuring them 30 days to expiration, a somewhat near term trade (my first criticism of the index is that it might make more sense to run a black swan index using the VXV calculation rather than VIX). This begs the question, why does this index exist? The trader who is not well versed in options might answer that when the index is super-expensive, a sell-off might be imminent. The versed option trader might make an
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Figure 1 SKEW and VIX, Jan 1990–Feb 2012
November 2012
5
The Predictive Value of Skew (continued)
an 8-year period there were 365 days
duced positive VIX expectations, our
ing 217 times. On those days the VIX
where that happened, on 226 of those
goal was to find enough vol to trade.
went up the next day 119 times, a win
days, the VIX decreased the next day.
The one thing I always tell my students
ratio of just below 55%. We managed,
A hit of over 60%, certainly a signifi-
is that vol begets volatility.
however, to capture almost all of our
cant result. I then moved to see how
Now we all know that the long
VIX points from our previous filter. On
many VIX points I could collect being
term mean of the VIX is just over 20;
those 217 days, the VIX picked up just
short vol when VIX was down and skew
however, because of the upper and
under 40 total points. A significant
was below its mean and falling. This is
lower limits of volatility, the VIX has
return of just under .50. While I am sure there are other
where I got my surprise. Despite fewer
many more occurrences below 20 than
days when the VIX went up, the net
above. I consider the true ‘mid point’
gain in VIX points over the 365 occur-
of VIX to be between 18–19 over the
found that a low SKEW is much more
rences was over about 44 points. An
long haul. This is why using 18 as a
predictive, especially when the VIX
ways the index can be used, we have
low VIX filter outperformed using 20
is elevated and falling. It might be a
for a filter. From 2004 the VIX was
leading indicator when VIX is already
dig. If we knew that skew falling and
above 18, falling and had a skew index
elevated, that the index is going to go
below the mean and a falling VIX pro-
below its long term mean and fall-
higher. EM
average increase of .12 points. I now had something and began to
implied volatility
historical volatility
Fearful investors: keeping option premiums artificially high since 1987.
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Condor Options Advisory Newsletter (iron condors) Calendar Options Advisory Newsletter (time spreads) Backtesting & Research Mentoring & Consulting
November 2012
6
Does the Position
Fit the Trade? Andrew Giovinazzi one of the first things we
vehicle to accomplish goals with the
teach Option Pit clients in our Gold
underlying. The idea is to take the
Using Realized Volatility as a Condition
Classes is how the option pricing
variable of forward volatility out of the
My simple definition of realized (histor-
model works. The simple reason we
equation. From an option model input
ical) volatility is close to close move-
do this is before traders put on a posi-
point of view most of the reliance for
ment in the underlying over some
tion they should know how that posi-
success is on price of the underlying,
previous period of time. Most normally
tion should perform best. The position
strike and time to expiration. At least it
the intervals are a 10-day, 20-day and
will work when the changes in model
should be.
30-day moving average of the past
inputs during the trade lifespan are
trading days. The idea here is to estab-
in line with the original intent of the
2. Use the stock to trade the
lish what I call a range of motion
trade. Where the educational process
options. Here is where the unique
for the underlying. Can the underly-
starts to turn on light bulbs early on is
properties of options come into play.
ing move enough for the position that
right here. Certain positions “act” bet-
Option values are one of the few
I have chosen for it? Is the underlying
ter under certain circumstances and
financial instruments that have a
moving too much for the position that
that is totally teachable. It is a concept
variable in forward pricing that is not
I have chosen for it? If beginning trad-
called conditional trading.
known for certain. The option mar-
ers thought about a position in this
ket uses the next best thing which is
light what they would start to realize
Conditional Trading
the implied volatility of the options
is that a poorly constructed position
First off all positions are going to fall
on the trading day. If a trader thinks
is doomed from the start because the
into two different camps. I discuss
the current implied volatility is too
realized volatility will not support (or overwhelm) the trade set up.
the two separately below but will only
expensive between now and expira-
spend a few sentences on the first.
tion for a given underlying, they can
The reason being is that most of the
create a position to sell it, regardless
ink in finance today is dedicated to
of whether they have a bullish or bear-
#1 so the balance of my article will be
ish opinion on the underlying. It is the
devoted to #2.
speed of the movement in the under-
1. Use the options to trade the
are trading is a secondary consider-
lying they care about. The name they stock. This is where most techni-
ation, not the first. The thought pro-
cal and fundamental investors go. For
cess is not the closing price of AAPL
example when Warren Buffet wants
today but more like is the implied vola-
to buy KO, he will sell puts below his
tility priced right for the next 3 weeks
The idea here is to establish what I call a range of motion for the underlying.
target price and not give a fig about
for the range of motion expected.
the volatility. Another example would
From an option model point of view the
recent activity in AAPL as of the week
be a trader relying on a short term
forward volatility used to generate the
of 11/23/2012. I have drawn a horizon-
buy signal to buy deeper calls and
value is the most important with price,
tal green line to illustrate the highs of
avoid the risk from a change in volatil-
time to expiration and strike second-
30-day implied volatility over the last
ity. Once the underlying hits the sell
ary. If the relative value of the volatility
6 months. For many traders looking
signal the position is unwound. In
component does not look interesting,
at implied volatility, AAPL trading at a
these cases the options are just a
there is no trade in the name.
near 6 month high in an off earnings
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Figure 1 is an example of the most
November 2012
7
Does the Position Fit the Trade? (continued)
terfly type setup is doomed to failure because the range of motion in the underlying is too great right now. In this case it would be better to wait until the realized volatility starts to soften, like it has, and sell a less gamma-intensive position like an iron condor or some out-of-the-money put spreads. Whether AAPL is a $500 stock or a $700 stock the volatility disparities are generating the trade idea, not necessarily the direction AAPL is going. The more traders look at realized volatility, the better the position
Figure 1
structure will start off in the first place implied volatility is trading at such a
and improved results should follow.
Normally I would be with them. The
huge discount to the recent realized
Waiting for conditions to improve for
problem is that the 10-day realized
volatility.
better entry points will help the results
cycle would be a reason to sell options.
volatility (white line) is making a new
At the minimum this would change
6 month high too. It is very difficult to
the position type a trader would use.
make money selling options when the
Selling near term gamma in a but-
as well. EM
Visit Our Website
www.optionpit.com
For Information Call (888) TRADE-01 Specializing in Trade Structure, Risk Management and Capital Efficiency
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November 2012
8
Correlation Risk as a Tradable Factor and
Return Predictor Jared Woodard the promise of mod-
premium is not clear. Positing
ern portfolio theory was
a model and finding that the
that a basket of uncorre-
data fits the model is not the
lated assets would pro-
same thing as an argument or
vide better risk-adjusted
an explanation. I think the idea
returns, over time, than a
is that, without priced correlation risk, there would be no way
portfolio whose constitufind that the CRP is negative, meaning
to explain why index options tend to
confronted many investors in 2008 and
that option buyers have tended to pay
be overpriced. The authors explain
in the years since was that, in a crisis,
a higher price to hedge against corre-
that the VRP for index options is nega-
ents move together. The problem that
even traditionally dissimilar assets had
lation than has actually occurred in the
tive, as has been widely observed,
the potential to become highly cor-
underlying assets.
and they also note that for individual
related, making diversification efforts fruitless. Investors concerned that
Two other claims in the paper are of particular interest. The authors find
equity options, we cannot reject the null hypothesis that options are fairly
a portfolio of stocks might become
that the CRP is a key driver of the
priced, i.e. that the VRP on individual
increasingly correlated in a crisis have
VRP. In fact, the model they give for
stock options is zero. Presumably the
turned to equity index options to pro-
pricing correlation risk “attributes the
inference the authors are making is
tect against that risk.
entire index variance risk premium to
that index options have a negative
In “Option-Implied Correlations and the Price of Correlation Risk,”
priced correlation risk.” (p. 9) This is
VRP because stock investors are using
an important claim because it is not
those options to hedge against correla-
Driessen, Maenhout, and Vilkov
initially obvious, conceptually, whether
tion; and that individual equity options
argue that correlation risk is a priced
an increase in the volatility of a basket
have zero VRP because, if the worry is that individual stocks will become
of assets would be a cause of higher basket correlation
the premium paid for correlation risk
or vice versa. For
(abbreviated below as CRP) as the
example, while
difference between the implied cor-
the range of daily
relation in an option’s price and the
Dow Jones returns
subsequent realized correlation of the
has been wider at
underlying index constituents. This
higher levels of cor-
method should be familiar to our read-
relation, a scatter
ers, since it is similar to the method
plot of that rela-
of subtracting realized volatility from
tionship does not
option implied volatility to estimate
suggest a relation-
the volatility risk premium (VRP).
ship (Figure 1).
To analyze the properties of the
The argument
CRP, the authors look at the time
for the claim that
series of this premium for the S&P 500
correlation risk
and Dow Jones Industrials over the last
drives the index-
fifteen years. As with the VRP, they
level variance risk
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Yahoo!, Condor Options
factor that can be measured from equity option prices. They estimate
Figure 1 1-Month DJIA Realized Correlation and Daily Stock Returns
November 2012
9
Correlation Risk as a Tradable Factor and Return Predictor (continued)
more correlated, options on those
ing correlations during a crisis could
increased CRP in recent years (higher
individual stocks will not provide the
hedge with the options of historically
spread between implied and realized
low beta assets instead of using index
correlation), the index VRP is not also
puts. If stocks originally intended to
higher than its historical average.
desired protection. As a description of investor behav-
diversify failed to do so in a market decline, buyers of puts on those stocks
implied correlations explain future
is right, a strategy suggests itself.
would benefit from being short deltas
market returns, with high predictive
Investors worried about increas-
and long vegas in those stocks, and at
power even out to 6 and 12 months.
Driessen et al. 2012
ior, this all sounds fair and plausible. But assuming the above explanation
Finally, the authors claim that
a lower cost than they
The surprise here (Figure 2) is that,
would be expected to
while VRP has a higher predictive
pay using equity index
value at a one-month horizon, the
options. And since the
r-squared value for implied correla-
equity option VRP is not
tion estimates for both the Dow Jones
negative, option buy-
Industrials and the S&P 500 were
ers would not incur the
higher for 100 days forward, and
same hedging costs in
increased to 0.10 even as far out as
bull markets.
one year. The authors mention some
I am still a bit skep-
possible explanations for these rela-
tical of the strength
tionships including the effects of high
of the claim that cor-
correlation on future dividend and con-
relation risk entirely
sumption growth volatility. EM
explains the index VRP. Other studies have found other priced factors to be determinants of index VRP, like daily Figure 2 R^2 Predictive Value for S&P 500 Returns of Implied Correlation and Variance Risk Premium
www.expiringmonthly.com
jump risk and the volatility of volatility. We can also ask why, given the
References Driessen, Joost, Maenhout, Pascal J. and Vilkov, Grigory, Option-Implied Correlations and the Price of Correlation Risk (October 25, 2012). Advanced Risk & Portfolio Management Paper. Available at SSRN: http://ssrn.com/abstract=2166829
November 2012
10
The Evolution of the
Holiday Effect
in VIX Futures Bill Luby
with fewer trading days and a
VIX usually occurs from the middle of
month of December. Figure 2 below
historical record that favors an uptick
the month right up to the Christmas
is a snapshot of the VIX futures curve
in stocks and a downtick in volatil-
holiday.
from September 12, 2012. Here I have added a dotted black line to show what
ity, the end of the year never fails to present an intriguing set of trading opportunities.
The December VIX Futures Angle
a linear interpolation of the December VIX futures would look like, with the
Most VIX traders are aware of the ten-
green line showing the 0.50 point dif-
above is something I have labeled
dency of implied volatility in general
ferential between the actual December
One phenomenon related to the the “holiday effect,” which is the ten-
and the VIX in particular to decline in
VIX futures settlement value of 20.40
dency of the CBOE Volatility Index
December. As a result, since the launch
on that date and the 20.90 interpo-
(VIX) December futures to trade at a
of VIX futures in 2004, there has usu-
lated value, which is derived from the
discount to the midpoint of the VIX
ally been a noticeable dip in the VIX
November and January VIX futures con-
November and January futures.
futures term structure curve for the
tracts. (Apart from the distortions present in the December
This article provides some historical lyzes how the holiday effect has been manifest and evolved over the course of the past few years.
Background and Context on the Holiday Effect on the VIX Index
VIX futures, a linear
CBOE Futures Exchange, VIX and More
analysis of the holiday effect and ana-
interpolation utilizing the first and third month VIX futures normally provides an excellent estimate of the value of the second month VIX futures.)
Part of the explanation for the holiday
Looking at the
effect is embedded in the historical record. For instance, in eight of the last
full record of histori-
twenty years, the VIX index has made
cal data, the mean
its annual low during the month of
Figure 1 The Composite December VIX Index, 1990–2011
holiday effect for all days in which the
December. In fact, the VIX has demonstrated a marked tendency to decline
November, December
steadily for the first 17 trading days of
and January futures
the month, as shown below in Figure 1,
traded is 1.87%,
which uses normalized VIX December
which means that
data to compare all VIX values for
the December VIX
each trading day dating back to 1990.
futures have been,
Not surprisingly, those 17 trading
on average, 1.87%
days neatly coincide with the typical
lower than the value
number of December trading days in
predicted by a lin-
advance of the Christmas holiday.
ear interpolation of
Readers should also note that, on average, the steepest decline in the
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Figure 2 VIX Futures Curve from September 12, 2012, Showing Holiday Effect
the November and January VIX futures.
November 2012
11
CBOE Futures Exchange, VIX and More
The Evolution of the Holiday Effect in VIX Futures (continued)
Further analysis reveals that on 91% of all trading days, the December VIX futures are lower than their NovemberJanuary interpolated value. The holiday effect, therefore, is persistent and substantial.
The History of the Holiday Effect in the December VIX Futures
Figure 3 VIX December Futures Holiday Effect, 2006–2012
Determining whether the holiday
is consistent with a smaller holiday
1999 that turned out to be a volatility
effect is statistically significant is a
effect. The data is much less com-
non-event when the calendar flipped
more daunting task, as there are only
pelling when one tries to determine
to 2000.
six holiday seasons from which one
whether the time remaining until the
While the opportunities to capital-
can derive meaningful VIX futures
holiday season has an influence on the
ize on the 2012 holiday effect may be
data. Figure 3 shows the monthly aver-
magnitude of the holiday effect. While
difficult to pinpoint and fleeting, all
age VIX December futures (solid blue
one might expect the holiday effect to
investors should be attuned to sea-
line) as well as the midpoint of the
become magnified later in the season,
sonal volatility cycles as 2013 unfolds
November and the January VIX futures
the evidence to support this hypoth-
and volatility expectations ebb and
(dotted red line) for each month since
esis is scant at this stage.
flow with the news cycle as well as the
the VIX futures consecutive contracts were launched in October 2006. Here
To sum up, investors have readily
the green bars represent the magni-
for December and the downward blip
tude of the holiday effect expressed
in December for the VIX futures term
in percentage terms, with the sign
structure reflects this thinking. As far
inverted (i.e., a +2% holiday effect
as whether this seasonal anomaly is
means that the VIX December futures
tradable, there is still a limited amount
would be 2% below the interpolated
of data—not to mention some highly
value derived from November and
unusual volatility years—from which
January futures.)
to develop and back test a robust VIX
Conclusions
the holiday effect.
futures strategy designed to capture With limited data from which to draw
In terms of trading the holiday
conclusions, it is tempting to eyeball
effect for the remainder of the year,
the data and look for emerging pat-
the coming holiday season is also com-
terns which may repeat in the future.
plicated by matters such as the fiscal
Clearly one pattern is that an elevated
cliff deadline and various euro zone
or rising VIX appears to coincide with
milestones that are set for early 2013.
a larger magnitude holiday effect,
In fact, there may not be a reasonable
whereas a depressed or falling VIX
equivalent since the Y2K fears in late
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calendar. EM
accepted that a lower VIX is warranted
Further Reading “Exploring the VIX Futures Term Structure, Part I” Expiring Monthly, August 2010 “An Interpretive Framework for VIX Futures (Second in a Series)” Expiring Monthly, September 2010 “VIX Futures: Putting Ideas into Action (Third in a Series)” Expiring Monthly, October 2010 “A History of VIX Futures Roll Yields” Expiring Monthly, September 2011 “Investing Implications of the VIX Term Structure” Expiring Monthly, October 2011 “Calculating the Future Range of the VIX” Expiring Monthly, February 2012 “The VIX Term Structure as a Predictor of Future Returns” Expiring Monthly, March 2012
November 2012
12