RISK DISCLOSURE STATEMENT

    TRADING FUTURES AND OPTIONS INVOLVES SUBSTANTIAL RISK OF LOSS AND IS NOT SUITABLE FOR
      ALL INVESTORS. THERE ARE NO GUARANTEES OF PROFIT NO MATTER WHO IS MANAGING YOUR
           MONEY. PAST PERFORMANCE IS NOT NECESSARILY INDICATIVE OF FUTURE RESULTS.

THE RISK OF LOSS IN TRADING COMMODITY INTERESTS CAN BE SUBSTANTIAL. YOU SHOULD
THEREFORE CAREFULLY CONSIDER WHETHER SUCH TRADING IS SUITABLE FOR YOU IN LIGHT OF
YOUR FINANCIAL CONDITION. IN CONSIDERING WHETHER TO TRADE OR TO AUTHORIZE SOMEONE ELSE
TO TRADE FOR YOU, YOU SHOULD BE AWARE OF THE FOLLOWING:

IF YOU PURCHASE A COMMODITY OPTION YOU MAY SUSTAIN A TOTAL LOSS OF THE PREMIUM AND OF
ALL TRANSACTION COSTS.

IF YOU PURCHASE OR SELL A COMMODITY FUTURES CONTRACT OR SELL A COMMODITY OPTION YOU
MAY SUSTAIN A TOTAL LOSS OF THE INITIAL MARGIN FUNDS OR SECURITY DEPOSIT AND ANY
ADDITIONAL FUNDS THAT YOU DEPOSIT WITH YOUR BROKER TO ESTABLISH OR MAINTAIN YOUR
POSITION. IF THE MARKET MOVES AGAINST YOUR POSITION, YOU MAY BE CALLED UPON BY YOUR
BROKER TO DEPOSIT A SUBSTANTIAL AMOUNT OF ADDITIONAL MARGIN FUNDS, ON SHORT NOTICE, IN
ORDER TO MAINTAIN YOUR POSITION. IF YOU DO NOT PROVIDE THE REQUESTED FUNDS WITHIN THE
PRESCRIBED TIME, YOUR POSITION MAY BE LIQUIDATED AT A LOSS, AND YOU WILL BE LIABLE FOR
ANY RESULTING DEFICIT IN YOUR ACCOUNT.

UNDER CERTAIN MARKET CONDITIONS, YOU MAY FIND IT DIFFICULT OR IMPOSSIBLE TO LIQUIDATE A
POSITION. THIS CAN OCCUR, FOR EXAMPLE, WHEN THE MARKET MAKES A ‘‘LIMIT MOVE.’’

THE PLACEMENT OF CONTINGENT ORDERS BY YOU OR YOUR TRADING ADVISOR, SUCH AS A ‘‘STOP-
LOSS’’ OR ‘‘STOP-LIMIT’’ ORDER, WILL NOT NECESSARILY LIMIT YOUR LOSSES TO THE INTENDED
AMOUNTS, SINCE MARKET CONDITIONS MAY MAKE IT IMPOSSIBLE TO EXECUTE SUCH ORDERS.

A ‘‘SPREAD’’ POSITION MAY NOT BE LESS RISKY THAN A SIMPLE ‘‘LONG’’ OR ‘‘SHORT’’ POSITION.

THE HIGH DEGREE OF LEVERAGE THAT IS OFTEN OBTAINABLE IN COMMODITY INTEREST TRADING CAN
WORK AGAINST YOU AS WELL AS FOR YOU. THE USE OF LEVERAGE CAN LEAD TO LARGE LOSSES AS
WELL AS GAINS.

IN SOME CASES, MANAGED COMMODITY ACCOUNTS ARE SUBJECT TO SUBSTANTIAL CHARGES FOR
MANAGEMENT AND ADVISORY FEES. IT MAY BE NECESSARY FOR THOSE ACCOUNTS THAT ARE
SUBJECT TO THESE CHARGES TO MAKE SUBSTANTIAL TRADING PROFITS TO AVOID DEPLETION OR
EXHAUSTION OF THEIR ASSETS. THE CTA DISCLOSURE DOCUMENT CONTAINS A COMPLETE
DESCRIPTION OF THE PRINCIPAL RISK FACTORS AND EACH FEE TO BE CHARGED TO YOUR ACCOUNT
BY THE COMMODITY TRADING ADVISOR (“CTA”).

A COMPLETE DISCUSSION OF FEES AND CHARGES ARE REPORTED IN THE CTA's DISCLOSURE
DOCUMENT. SPECIFICALLY, ONE SHOULD RECOGNIZE THAT AN INTRODUCING BROKER MAY CHARGE
A FRONT-END START UP FEE OF UP TO 6% OF THE INITIAL CONTRIBUTION. PLEASE NOTE THAT THIS
CHARGE IS NOT REFLECTED IN THE PERFORMANCE OF THE COMMODITY TRADING ADVISOR AND
COULD HAVE A SIGNIFICANT IMPACT ON THE CUSTOMERS ABILITY TO ACHIEVE SIMILAR RETURNS.

MANAGED FUTURES MAY NOT NECESSARILY BE PROFITABLE UNDER ALL MARKET CONDITIONS AND
ALSO MAY NOT NECESSARILY REDUCE VOLATILITY.




 
LINTNER REVISITED




A Quantitative
Analysis of
Managed Futures


May 2012
Ryan Abrams                 Ranjan Bhaduri, PhD, CFA, CAIA   Elizabeth Flores, CAIA
Senior Investment Analyst   Chief Research Officer and       Executive Director, Client
Wisconsin Alumni Research   Head of Product Development      Development & Sales –
Foundation                  AlphaMetrix Alternative          Asset Managers
                            Investment Advisors, LLC         CME Group
As the world’s leading and most diverse derivatives marketplace, CME Group (www.cmegroup.com)
is where the world comes to manage risk. CME Group exchanges offer the widest range of global
benchmark products across all major asset classes, including futures and options based on interest
rates, equity indexes, foreign exchange, energy, agricultural commodities, metals, weather and real
estate. CME Group brings buyers and sellers together through its CME Globex electronic trading
platform and its trading facilities in New York and Chicago. CME Group also operates CME Clearing,
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transactions through CME ClearPort. These products and services ensure that businesses
everywhere can substantially mitigate counterparty credit risk in both listed and over-the-counter
derivatives markets.




ABSTRACT:


Managed futures comprise a wide array of liquid, transparent alpha strategies which offer institutional
investors a number of benefits. These include cash efficiency, intuitive risk management, and a
proclivity toward strong performance in market environments that tend to be difficult for other
investments. This paper revisits Dr. John Lintner’s classic 1983 paper, “The Potential Role of Managed
Commodity-Financial Futures Accounts (and/or Funds) in Portfolios of Stocks and Bonds,” which
explored the substantial diversification benefits that accrue when managed futures are added to
institutional portfolios. As Dr. Lintner did, it analyzes the portfolio benefits that managed futures
offer through the mean-variance framework, but it draws on more complete techniques such as the
analysis of omega functions to assess portfolio contribution. The paper also conducts a comparative
qualitative and quantitative analysis of the risk and return opportunities of managed futures relative
to other investments, and includes a discussion as to why managed futures strategies tend to perform
well in conditions that are not conducive to other investment strategies. It provides an overview of
the diversity of investment styles within managed futures, dispelling the commonly held notion that
all CTAs employ trend following strategies. Finally, it highlights the opportunities the space offers
to pension plan sponsors, endowments and foundations seeking to create well-diversified, liquid,
transparent, alpha generating portfolios.


Dedicated to the late Dr. John Lintner
TABLE OF CONTENTS

2	    Introduction


3	    Revisiting Lintner


4	    Managed Futures – Some Basic Properties


6	    Growth of Futures Markets and Managed Futures


7	    Manager Style and Selection


11	   Managed Futures Risk, Return, and the Potential for Enhanced Diversification


12	   Risk and Return: Omega – A Better Approach


15	   Hidden Risk: The Importance of Liquidity, Transparency and Custody


17	   The Lack of Correlation and Potential for Portfolio Diversification


22	   Managed Futures and Performance during Financial Market Dislocations


30	   Benefits to Institutional Investors


32	   Conclusion


34	   Conclusion in Context of Lintner


35	   References
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INTRODUCTION

Managed futures comprise a diverse collection of active hedge           This paper also gives a brief treatment of risk management and
fund trading strategies which specialize in liquid, transparent,        the importance of liquidity. From there, we analyze historical
exchange-traded futures markets and deep foreign exchange               correlations among managed futures, traditional investments,
markets. Some of the approaches taken by managed futures                and other alternative investment strategies, demonstrating the
managers exploit the sustained capital flows across asset classes       diversification benefits that may be reaped from the introduction
that typically take place as markets move back into equilibrium         of managed futures’ uncorrelated variance into traditional
after prolonged imbalances. Others thrive on the volatility and         portfolios and blended portfolios of traditional and alternative
choppy price action which tend to accompany these flows. Others         investments. We explore the proclivity of managed futures
do not exhibit sensitivity to highly volatile market environments       strategies toward strong performance during market dislocations
and appear to generate returns independent of the prevailing            due to their tendency to exploit the massive flows of capital to or
economic or volatility regime. This explains in part why managed        from quality that tend to coincide with these events. Although
futures often outperform traditional long-only investments and          managed futures have often produced outstanding returns during
most alternative investment and hedge fund strategies during            dislocation and crisis events, it must be emphasized that managed
market dislocations and macro events.                                   futures are not and should not be viewed as a portfolio hedge, but
                                                                        rather as a source of liquid transparent return that is typically not
This paper endeavors to re-introduce managed futures as a liquid,
                                                                        correlated to traditional or other alternative investments.
transparent hedge fund sub-style which actively trades a diversified
mix of global futures markets and attempts to dispel some of the        Finally, we conclude with a discussion of some of the unique
more common misconceptions many institutional investors hold            benefits offered to pension plan sponsors, endowments and
regarding the space. We discuss the likely effects and implications     foundations, namely, the ability to use notional funding to
of the proliferation of futures markets and managed futures assets      efficiently fund exposure to managed futures, diminish the risks
under management on the performance and capacity of trading             associated with asset-liability mismatches, and capitalize on
managers. We also address trading manager selection and style,          favorable tax treatment. We also close the loop in relation to how
and differentiate among the myriad unique trading strategies            Lintner’s insights on the role of managed futures in an institutional
which currently encompass managed futures. An assessment                portfolio have held up after nearly 30 years.
of the performance and risk characteristics of managed futures
relative to traditional investments and other alternatives is
conducted, including a critique of the mean-variance framework
in which many practitioners and investment professionals analyze
performance and risk. The Omega performance measure is offered
as an alternative to traditional mean-variance ratios since it
accounts for the non-Gaussian nature of the distributions typically
encountered in finance; the Omega function was invented by
mathematicians in 2002, and thus was not available to Lintner.




2   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




REVISITING LINTNER

The late Dr. John Lintner (1916 – 1983), a Harvard University               Finally, all the above conclusions continue to hold when returns are
Professor, had an illustrious and prolific career, including                measured in real as well as in nominal terms, and also when returns
recognition as one of the co-creators of the Capital Asset Pricing          are adjusted for the risk-free rate on Treasury bills.” [Lintner, pages
Model (CAPM). Lintner also published a classic paper entitled               105-106]
“The Potential Role of Managed Commodity-Financial Futures
                                                                            Sadly, Lintner died shortly after presenting his treatise on the role
Accounts (and/or Funds) in Portfolios of Stocks and Bonds,”
                                                                            of managed futures in institutional portfolios.
which he presented in May 1983 at the Annual Conference of
the Financial Analysts Federation in Toronto. Lintner found the             The objectives of this paper are not at all modest, namely, to
risk-adjusted return of a portfolio of managed futures to be higher         furnish a modern-day Lintner paper, and also to dispel some
than that of a traditional portfolio consisting of stocks and bonds.        common myths regarding managed futures. While Lintner’s study
The Lintner study also found that portfolios of stocks and/or bonds         has been applauded by scholars and practitioners who have read
combined with managed futures showed substantially less risk at             it, there still seems to be a gap and disconnect between many
every possible level of expected return than portfolios of stocks           institutional investors and the managed futures space. Is this
and/or bonds alone. The following passage from Lintner’s scholarly          because through the passage of time the kernel of Lintner’s findings
work furnishes good insight on his findings:                                is no longer true? Or have some institutional investors simply
                                                                            not performed their fiduciary duty in a completely satisfactory
“Indeed, the improvements from holding efficiently selected portfolios
                                                                            manner?
of managed accounts or funds are so large – and the correlations
between the returns on the futures portfolios and those on the stock and    Updating the Lintner paper will help to supply the answer to
bond portfolios are surprisingly low (sometimes even negative) – that       this question. In order to do this properly, it is best to lay the
the return/risk trade-offs provided by augmented portfolios consisting      framework of what managed futures are in terms of the current
partly of funds invested with appropriate groups of futures managers        landscape before exploring the impact of adding them to
(or funds) combined with funds invested in portfolios of stocks alone (or   traditional portfolios.
in mixed portfolios of stocks and bonds), clearly dominate the trade-offs
available from portfolios of stocks alone (or from portfolios of stocks
and bonds). Moreover, they do so by very considerable margins.

The combined portfolios of stocks (or stocks and bonds) after including
judicious investments in appropriately selected sub-portfolios of
investments in managed futures accounts (or funds) show substantially
less risk at every possible level of expected return than portfolios of
stock (or stocks and bonds) alone. This is the essence of the “potential
role” of managed futures accounts (or funds) as a supplement to stock
and bond portfolios suggested in the title of this paper.




                                                                               Past performance is not necessarily indicative of future results.      3
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MANAGED FUTURES – SOME BASIC PROPERTIES

A discussion of managed futures performance, particularly during         Managed futures traders are commonly referred to as “Commodity
periods of market dislocation, may be more illuminating if preceded      Trading Advisors” or “CTAs,” a designation which refers to a
by a brief discussion of what managed futures are and are not. As        manager’s registration status with the Commodity Futures Trading
previously mentioned, managed futures encompass a variety of             Commission and National Futures Association. CTAs may trade
active trading strategies which specialize in liquid, transparent,       financial and foreign exchange futures, so the Commodity Trading
exchange-traded futures, options, and foreign exchange, and may          Advisor registration is somewhat of a misnomer since CTAs are
be thought of as a liquid, transparent hedge fund strategy. Like         not restricted to trading only commodity futures. The highly
long/short equity and equity market neutral hedge fund strategies,       diversified and global nature of the markets included in most
managed futures strategies may take long and short positions in          managed futures programs makes the selection of a passive long-
the markets they trade, are available only to qualified investors,       only index for analysis of value added through active management
and may employ leverage. An important difference, however,               extremely difficult since many CTAs trade portfolios of futures
is that equity hedge fund leverage requires borrowing funds at           contracts which span across all asset classes. The name Commodity
a rate above LIBOR, whereas managed futures investing allows             Trading Advisor also results in the common mistake of using
for the efficient use of cash made possible by the low margin            passive long-only commodity indices, such as the Goldman Sachs
requirements of futures contracts. Rather than allowing cash not         Commodity Index (GSCI), DJ AIG Commodity Index (DJ AIG),
being used for margin to collect interest at the investor’s futures      and Rogers International Commodity Index (RICI) as performance
commission merchant (FCM), the investor can deploy it to gain a          benchmarks. These indices are not appropriate because they include
higher notional exposure when investing using a managed account.         only a small fraction of the futures markets most CTAs trade,
Consequently, the investor is not paying interest, since they did        and do not account for active management or the ability to take
not need to borrow money to get the extra exposure. The following        short as well as long positions, all of which should result in lack of
example helps to highlight this important point.                         correlation over time.

Example: A pension plan sponsor has $50 million (USD), and               Active management and the ability to take long and short positions
wishes to get $50 million exposure in a managed futures strategy         are key features that differentiate managed futures strategies
that allows for a funding factor of two. The investor then only needs    not only from passive long-only commodity indices, but from
to invest $25 million to the managed futures strategy and may put        traditional investments as well. Although most CTAs trade equity
the other $25 million in Treasury bills to receive interest.             index, fixed income, and foreign exchange futures, their returns
                                                                         should be uncorrelated and unrelated to the returns of these asset
Another critical difference between futures and equities is that         classes because most managers are not simply taking on systematic
there are no barriers to short selling in futures. Since two parties     exposure to an asset class, or beta, but are attempting to add alpha
agree to enter into a contract, there is no need to borrow shares, pay   through active management and the freedom to enter short or
dividends, or incur other costs associated with entering into equity     spread positions, which can result in totally different return profiles
short sales. Thus, in that sense, it is easier to invoke a long-short    than the long-only passive indices.
strategy via futures than it is using equities.




4    Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




Not all managed futures managers are trend followers. Many              The existence of these risk premia is consistent with futures prices’
of the earliest and most successful futures traders employed            role as biased predictors of expected spot prices. The futures price
trend following strategies, as do some of the largest CTAs today,       equals the discounted present value of the expected spot price
which might help to explain the prevalence of this overly casual        plus a risk premium, which can be positive or negative depending
generalization. Trend following may be the most common                  on the skewness or bias of distribution of expected spot prices.
managed futures strategy, but it certainly is not the only one. The     If all financial assets, including futures contracts, have a zero net
myriad other approaches to futures trading offer institutional          present value (NPV), then:
investors access to a variety of sources of return, including trend
following, which are uncorrelated to traditional and alternative                                   E(ST) = Fe(μ -r)T
                                                                                                                  s



investments, and oftentimes, to one another. These include
discretionary fundamental or global macro managers who express          where T represents the delivery date, E(ST) the expected spot
their views using futures, short-term traders whose strategies vary     price, F the futures price, and (μs-r) the risk premium, the sign of
tremendously, chartists who scan the markets for patterns, and          which depends on whether or not the risk premium is positive or
contrarian traders. The wide availability of clean data has also        negative. Equity index futures, for example, tend to be downward-
converted academics, researchers, and scientists to trading. These      biased predictors of expected spot prices since the natural risk
individuals apply advanced quantitative techniques to the markets       in equities markets is to the downside. CTAs offer liquidity to
that go beyond basic rules-based systems to forecast the direction in   hedgers in order to capture positive risk premia (CISDM 2006, 4).
price or changes in volatility. Managed futures programs that rely      It is also important to account for transactions, storage, and other
on strategies other than trend following are becoming a larger and      costs which may affect futures prices.
more important part of the space.

Another common misconception about managed futures strategies
is that they are a zero sum game. This would be the case if CTAs
were trading exclusively against other CTAs, but academics and
practitioners have demonstrated that some futures markets
participants are willing to hedge positions, or buy or sell forward
even if they expect spot prices to rise or fall in their favor (CISDM
2006, 4).




                                                                           Past performance is not necessarily indicative of future results.   5
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GROWTH OF FUTURES MARKETS AND
MANAGED FUTURES

The growth in open interest in futures markets has led to a substantial growth in managed futures assets under management.
Electronic exchanges and technology have also contributed to the scalability and capacity of managed futures.


EXHIBIT 1: Managed Futures Growth in Assets Under Management 1980-2011




                                       Source: AlphaMetrix Alternative Investment Advisors, BarclayHedge Alternative Investment Database



The substantial influx of assets into the futures markets in the                 It has also augmented the capacity of the more sectarian or
form of passive long-only money in commodity markets as well as                  niche strategies and large diversified trend followers alike.
the explosion of assets under management for active traders has                  The proliferation of passive long-only indices has created new
had numerous important implications for CTAs. The tremendous                     opportunities and risks for CTAs as exchange traded funds and
increase in open interest has resulted in increased depth and                    notes attempt to roll massive numbers of contracts each month.
liquidity in many markets, allowing managers to add previously                   Fundamental discretionary traders, for instance, must incorporate
inaccessible markets to their domain of traded instruments.                      the augmented interest from the long side when making trading
                                                                                 decisions.




6   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




MANAGER STYLE AND SELECTION

As previously mentioned, most observers associate managed                 Although certain voices in the investment management
futures closely with trend following strategies. The liquidity            community have heralded the death of trend following many times
of futures contracts and copious amounts of available data,               over the years, there is a high probability of generating strong
however, facilitate the application of numerous other variations          returns over sufficiently long rolling time periods, 36 months
of quantitative systematic trading strategies to these instruments        or more, for instance. The “long volatility” profile associated
and the time series associated with them. The influence of                with most CTAs and trend followers in particular often means
fundamental economic variables on commodities and futures                 that returns are lumpy and a given manager’s performance will
markets provides opportunities for niche sector and market                usually depend on a few large positive months. As such, it may
specialists to trade programs which generate returns that are often       take some time to draw from this right tail of the distribution of
uncorrelated to most trend following programs.                            returns, and the likely interim outcome is flat lining or entering
                                                                          a drawdown as the program searches for opportunities in the
A useful analogy for the different managed futures trading
                                                                          markets it trades. Those who do not hold these investments over
programs and styles, as well as for alternative investments
                                                                          sufficiently long time horizons will typically experience frustration
in general, consists of thinking of the various trading styles or
                                                                          and disappointment since the events that drive performance,
programs as radio receivers, each of which tunes into a different
                                                                          typically massive flights of capital to or from quality, only take
market frequency. Simply put, some strategies or styles tend to
                                                                          place occasionally.
perform better or “tune in” to different market environments.
                                                                          Exhibit 2, on the following page, illustrates the maximum,
Trend Following
                                                                          minimum and mean rolling return of the Barclays Capital BTOP 50
Trend following has demonstrated performance persistence over
                                                                          Index over different holding periods since January 1987. Each blue
the more than 30 years since the first “turtle” strategies began
                                                                          bar represents the range of all rolling returns for that number of
trading, and roughly 70 percent of CTA strategies belong to this
                                                                          months over the life of the index. For example, the bar furthest to
managed futures strategy sub-style. Trend following is dominated
                                                                          the left represents all 3-month rolling returns since the inception
by momentum and/or breakout strategies, both of which attempt
                                                                          of the BTOP 50 Index. The minimum, depicted by the green dot,
to capture large directional moves across diversified portfolios
                                                                          shows the worst 3-month rolling return in the distribution. The
of markets. It also tends to be diversified across time frames,
                                                                          orange square indicates the mean, and the blue triangle shows the
although some trend followers may be exclusively long-term
                                                                          best 3-month rolling return in the distribution for this particular
(multiple months) or very short-term (days, hours, or minutes).
                                                                          example.
Subtle differences in risk budgeting across markets, time horizons,
and parameter selection may result in trend following programs
which yield vastly different performance statistics and/or exhibit
non-correlation to one another. Even within the trend-following
space, there can be large differences between managers; these
differences range from multi-billion dollar institutional quality firms
employing an array of sophisticated and diversified techniques, to
small shops trading with discretion.




                                                                             Past performance is not necessarily indicative of future results.   7
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EXHIBIT 2: Maximum, Minimum, and Mean Rolling Return of Barclays Capital BTOP 50 Index Over
Different Holding Periods




                                                       Source: AlphaMetrix Alternative Investment Advisors, Bloomberg




The conclusion readers should draw from the graph is that the                   Managers rarely make material changes to their strategies or
possibility of making money increases dramatically if the investor              models for this same reason, especially during drawdowns, since
maintains the allocation to managed futures three to five years.                this would be tantamount to redeeming in the same way as in the
                                                                                example. Initial research and testing are critical, however, to ensure
During periods of flat or underperformance, the trend follower
                                                                                robustness and performance persistence, as are ongoing efforts to
stops out of or exits stale positions and begins to put on new ones
                                                                                refine the program and ensure it evolves with markets over time.
for which the profit expectation is greatest. This often results in a
                                                                                Evolution and research have always been essential to successful
mean-reversion or “rubber band” effect which manifests itself as
                                                                                trend followers, and any perceived “shifts” typically involve
a sudden burst of positive performance after an extended drought
                                                                                incremental improvements or innovations designed to enhance
of opportunities during which the program’s money management
                                                                                the program rather than depart from it materially (Fischer and
system strived to preserve capital. Experienced investors often
                                                                                Bunge 2007, 2).
choose to add to trend followers in a drawdown in anticipation
of this effect. Likewise, inexperienced or impatient investors all
too often redeem at the bottom of a manager’s drawdown, only to
witness the surge in performance shortly thereafter.




8    Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




Other Managed Futures Strategies                                        Managed Futures Equal Black Box Trading?
Although the majority of quantitative CTAs employ some variation        The quantitative nature of many managed futures strategies makes
of trend following strategies, other managed futures quantitative       it easy for casual observers to mistakenly categorize them as black
strategies abound, many of which exhibit no statistical relationship    box trading systems. “The irony is that most CTAs will provide
whatsoever with trend following programs. Counter-trend strategies      uncommonly high levels of transparency relative to other alternative
attempt to capitalize on the often rapid and dramatic reversals that    investment strategies” (Ramsey and Kins 2004, 131). Ramsey and
take place at the end of trends. Some quantitative traders employ       Kins suggest that CTAs will describe their trading models and
econometric analysis of fundamental factors to develop trading          risk management in substantial detail during the course of due
systems. Others use advanced quantitative techniques such as            diligence, “short of revealing their actual algorithms” (Ramsey and
signal processing, neural networks, genetic algorithms, and other       Kins 2004, 131). CTAs are also typically willing to share substantial
methods borrowed and applied from the sciences. Recent advances         position transparency with fund investors, and the real-time, full
in computing power and technology as well as the increased              transparency of positions and custody of cash and instruments made
availability of data have resulted in the proliferation of short-term   possible by investments via separately managed accounts. “As such,
trading strategies. These employ statistical pattern recognition,       it is difficult to call CTAs black box considering they disclose their
market psychology, and other techniques designed to exploit             methodology and provide full position transparency so that investors
persistent biases in high frequency data. Toward the end of 2008,       can verify adherence to that methodology” (Ramsey and Kins 2004,
short-term strategies were in high demand among fund of funds           131).
and institutional investors searching for sources of return which
appeared to be statistically independent from the factors driving
performance across both the traditional and alternative investments
universes.

The very short holding periods of short-term traders allow them
to rapidly adapt to prevailing market conditions, making it easy
for them to generate returns during periods which are difficult
for traditional and alternative investments. The countless
combinations and permutations of portfolio holdings that these
trading managers may hold over a limited period of time also tend
to result in returns that are not correlated to any other investment,
including other short-term traders.




                                                                           Past performance is not necessarily indicative of future results.   9
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Furthermore, any systematic or algorithmic trading system has            Manager Selection
a large human element. Namely, in the coding of this system,             Peer analysis is often complicated by the blending of managed
several decisions were made concerning the techniques invoked.           futures sub-styles or other subtle differences that frustrate
What limits should be used? Should there be a component of               the creation of peer groups of managers. The exception tends
optimization? There are countless questions and decisions that           to be the rule. It might be difficult to categorize an eclectic
go into the codification of a systematic trading program that            manager who combines a price-based model with fundamental
are qualitative in nature – after all, the coding and creation was       analysis to discretionarily arrive at trading decisions, or a grain
done by humans! Those who are not quantitatively minded often            trader whose returns are 0.9 correlated with a number of trend
completely overlook this fact. There are both pros and cons              followers. It is possible to overcome these hurdles, however, by
in systematic trading, as well as in discretionary trading, thus         taking a quantitative approach to peer analysis. Managers whose
discriminating purely on the basis of systematic or discretionary        returns are correlated likely have similar risk factors or exposures
is not warranted; indeed many managed futures programs are a             embedded in their programs or trading styles. Creating peer
hybrid of both.                                                          groups of highly correlated managers simplifies the basis for
                                                                         comparison across metrics of interest, and facilitates the analysis
Discretionary Trading
                                                                         of programs which have historically tended to perform similarly in
Not all CTAs employ quantitative or systematic trading
                                                                         different market environments. The implications of quantitative
approaches. In fact, some of the most unique alternative
                                                                         peer group analysis of this sort for manager selection are obvious.
investment programs consist of discretionary CTAs and niche
sector or market specialists. Like their systematic counterparts,        The importance of manager selection varies somewhat depending
discretionary CTAs may use fundamental and technical inputs              upon the objectives of the managed futures investor. Ramsey
to make trading decisions and may trade one or many markets              and Kins suggest that “an investment with large CTAs should
across a continuous domain of time horizons. Some discretionary          focus on picking the very best managers with less thought of
CTAs do analyze chart patterns or other technical indicators, but        diversification,” given their methodological similarities and
many discretionary CTAs employ fundamental analysis of supply            tendency to highly correlate to one another (Ramsey and Kins
and demand as the basis for their programs. The most successful          2004, 134). Selection among large, diversified trend followers
discretionary traders tend to have clearly defined, well-articulated     is more important, but blending two or more of these managers
risk management coupled with unique experience and background            typically enables investors to enjoy some of the benefits of
relevant to the market or markets they trade. The fact that most         diversification. The question of selection becomes less important
discretionary managers have the flexibility to trade in a completely     for investors seeking to capture the benefits of smaller, “emerging”
opportunistic fashion often results in returns which tend to be          CTAs. Ramsey and Kins recommend a “strategy of employing
uncorrelated to trend following, managed futures and other hedge         a large cross sample of these CTAs in order to reduce business
fund styles, as well as passive long-only commodity indices.             risk and take advantage of the ability to diversify across trading
                                                                         methodologies and markets.” (Ramsey and Kins 2004, 134)




10   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




MANAGED FUTURES RISK, RETURN, AND THE
POTENTIAL FOR ENHANCED DIVERSIFICATION

The exploitation of trends or other price behaviors that tend to        Since then, the importance of alternative investments to
accompany large macro dislocations or events by CTAs produces           institutional investors as sources of absolute return and portfolio
both a positive return expectation and uncorrelated variance,           diversification has grown tremendously, especially over the
making them additive to most portfolios. Although CTAs tend             last decade. Managed futures strategies should continue to
to have high volatility and lower Sharpe ratios relative to other       play a prominent role in the increasingly important alternative
alternative investments, the addition of an uncorrelated element        portion of institutional portfolios, due not only to their role in
which often contributes positive gamma, enhances the return and         dampening portfolio variance, but also their ability to improve
decreases the variance of most portfolios. (It is important to recall   other important performance statistics, including semideviation,
that this volatility comes from large, infrequent positive returns      drawdown, skewness, kurtosis and the Omega performance
and that the Sharpe ratio is flawed as a measure of risk-adjusted       measure, which incorporates all of the information embedded in
performance, as we will soon demonstrate.) The fact that an             the distribution of returns of an investment, as well as an investor-
investment is volatile on a stand-alone basis does not necessarily      determined threshold of loss.
mean that it will increase the volatility of the entire portfolio.
                                                                        Lintner performed his analysis on mean-variance portfolios of
Modern Portfolio Theory suggests that adding uncorrelated
                                                                        traditional and managed futures investments using stock and
variance actually decreases overall portfolio variance. The addition
                                                                        bond indices, and two sets of managed futures account and fund
of uncorrelated variance may also help investors reduce other
                                                                        investment returns, likely due to the paucity of managed futures
important measures of risk, including drawdown, semideviation,
                                                                        performance data. This study employs index data exclusively, due
and kurtosis in the left tail.
                                                                        to its wide availability, as well as to minimize selection bias. It
Lintner’s paper found that the low and occasionally negative            also attempts to maximize robustness and statistical validity by
correlations between futures portfolios and traditional equity          calculating all statistics using as many observations as possible,
and fixed income portfolios enable the creation of portfolios with      resulting in comparisons across heterogeneous time horizons
substantially less variance at every possible level of expected         when historical index data is not available. As such, the number of
return relative to traditional portfolios consisting solely of          observations used for calculations varies.
stocks or mixtures of stocks and bonds (Lintner 1996, 105-106).
He alludes to the growing interest of institutional investors
in alternative investments as means to tap additional sources
of uncorrelated return, pointing to real estate, venture capital
investments and “diversified holdings of oil-well exploration pools”
as examples before turning to managed futures (Lintner 1996,
102).




                                                                           Past performance is not necessarily indicative of future results.   11
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RISK AND RETURN: OMEGA – A BETTER APPROACH

Popular culture and the media often portray futures trading as one         Moreover, from a practical point of view, there is an obvious
of the riskiest and most speculative forms of investment. Several          difference between upside volatility and downside volatility.
intrinsic characteristics of futures contracts make them substantially
                                                                           The Omega function and performance measure, first presented by
less risky, however, than investments in other instruments
                                                                           Con Keating and William Shadwick, overcome the shortcomings
which have not been branded with many of the same negative
                                                                           of the mean-variance framework and allow investors to refer to the
connotations. Most casual observers and even many experienced
                                                                           risk-reward characteristics of portfolios with respect to a reference
practitioners attribute this volatility to the underlying instruments
                                                                           point or threshold other than the mean. Omega fully incorporates
traded, but such a conclusion would be fallacious.
                                                                           the impact of all of the higher moments of the distribution
Futures garnered their reputation as a risky largely due to the            of returns into an intuitive performance measure that allows
volatility of individual commodity markets, which many observers           practitioners to assess risk and return in the context of their own
closely associate with the futures markets. The volatility of the          loss threshold without burdensome utility functions (Keating and
passive long-only commodity indices, such as the Goldman Sachs             Shadwick 2002, 2). Investors specify what they constitute as their
Commodity Index (GSCI), also explains in part the perception of            own loss threshold or minimum acceptable return, which serves as
high risk. The nearly 20 percent annualized volatility of the GSCI,        the benchmark return. The Omega function makes a probability-
combined with its maximum historical drawdown of more than 60              weighted comparison of “profits” and “losses”, however defined,
percent certainly justifies this perception. However, it is important      relative to this investor-determined threshold. The Omega function
to make a number of critical distinctions here. First, there are           is defined as:
substantial differences between passive long-only indices like the
GSCI and actively managed trading strategies like those which                                            b

this paper highlighted earlier. “Commodities,” loosely defined, are                                      ∫ [1-F(x)]dx
                                                                                              Ω(r):=     r
also different than futures contracts, which are nothing more than                                           r
                                                                                                             ∫ F(x)dx
exchange traded instruments linked to the prices of a diversified                                            a
variety of global markets.

Those assessing risk must also carefully define it. Modern Portfolio
                                                                           where F(x) is the cumulative distribution function for the returns,
Theory equates risk with variance (or volatility as measured by
                                                                           bounded by the endpoints a and b, with a threshold of r (Keating
standard deviation), which measures the dispersion of outcomes
                                                                           and Shadwick 2002, 12). Exhibit 3 illustrates the cumulative
from the mean. Using volatility to measure risk, however, penalizes
                                                                           distribution function for an investment, along with depictions of the
those outcomes which are greater than the expected, or upside
                                                                           threshold and profit and loss integrals.
volatility. Outcomes which exceed expectations (most rational
investors would not select investments for which the return                Omega provides practitioners with an extremely useful tool since
expectation is negative), or exceed a necessary or desired threshold,      it accounts for the non-normal distributions of returns which are
cannot truly be said to be risky in the sense that they do not imply       commonplace in finance, particularly for alternative investments.
loss or failure to meet an objective. In other words, volatility ignores   Despite the apparent intuitiveness of the Sharpe ratio, the fact that
the skewness and kurtosis of a manager’s distribution of returns.          it ignores skewness and kurtosis and penalizes upside volatility,
                                                                           essentially renders it useless for investment performance analysis.
Managed futures may be more volatile than long/short equity or
equity market neutral hedge funds, but not necessarily more risky.
Measuring risk by volatility is dangerous to do in the alternatives
space since the distributions are typically non-Gaussian.




12   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




EXHIBIT 3: Cumulative Distribution and Omega Functions


                                                                      y (F(X))

                                                                                                   numerator of Ω

                                   y=1




                                   y=0                                                                              x (returns)
                                         denominator of Ω
                                                                                         x=r


                                Source: Bhaduri and Kaneshige, 2005



The Omega function is a powerful tool in the risk toolbox [Bhaduri               The BTOP 50 Index, HFRI Fund Weighted Composite Index,
and Kaneshige, 2005]. Furthermore, the selection of a threshold                  and HFRI Equity Hedge Index all exhibit excess kurtosis, or “fat
as the focus dovetails well with the needs of pensions. Pensions                 tails” in their distributions of returns as well (2.66, 2.41, and 1.76,
typically take an asset-liability lens, consequently, the return they            respectively), consistent with the vast majority of hedge fund
seek is a function of the liabilities they face. The Omega function              strategies.
lends itself well to this framework since a natural threshold for a
                                                                                 The fact that a given investment or strategy displays fat tails is
pension to select is a return which will at least cover its liabilities.
                                                                                 not as important as the location of the extreme deviations which
Exhibit 4, “Statistics: Traditional and Alternative Investment                   cause them. Skewness describes the relative length of the tails or
Benchmarks,” illustrates the shortcomings of evaluating                          the degree of asymmetry of a distribution of outcomes. Positive
investment performance solely through the lens of mean and                       skewness suggests that a number of relatively large positive
variance, particularly for managed futures. The Barclays Capital                 deviations inflate the mean of the distribution, resulting in a fat
BTOP 50 returns display significantly more variance than those of                right tail. Conversely, negative skewness occurs when a number of
the Hedge Fund Research, Inc. (HFRI) Fund Weighted Composite                     relatively large negative deviations pull the mean down, resulting in
Index, or the HFRI Equity Hedge (Total) Index, as measured by                    a fat left tail.
standard deviation (10.47 percent compared to 7.08 percent and
                                                                                 The BTOP 50 displays large positive skewness (1.00) relative to the
9.31 percent). The variance of all negative observations of the
                                                                                 HFRI Fund Weighted Index (-0.71) and HFRI Equity Hedge Index
BTOP 50 and HFRI hedge fund indices in question, however, were
                                                                                 (-0.25). The positive skewness exhibited by most CTAs explains the
comparable (semideviation of 4.76 percent versus 5.29 percent
                                                                                 majority of the differences in variance between the BTOP 50 and
and 6.20 percent), as were worst drawdowns (-13.31 percent
                                                                                 HFRI hedge fund indices. This paper explores the reasons for excess
versus -21.42 percent and -30.59 percent).
                                                                                 kurtosis in hedge fund returns, and for differences in skewness for
                                                                                 different hedge fund strategies, in a later section.




                                                                                    Past performance is not necessarily indicative of future results.      13
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EXHIBIT 4: Statistics: Traditional and Alternative Investment Benchmarks




                                                                                                                                                                                                        HFRI Fund Weighted Index
                                                                                                                                                                             DJ UBS Commodity Index




                                                                                                                                                                                                                                     HFRI Equity Hedge Index
                                                                                                                                      Composite Global Index
                                         Barclay BTOP 50 Index




                                                                                   MSCI World Daily Total




                                                                                                             Barclays Capital Bond




                                                                                                                                      Barclays Capital Bond




                                                                                                                                                                                                                                                                                                            Newedge Short-Term
                                                                                                                                                                                                                                                                                     S&P/Citigroup World
                                                                                                             Composite US Index
                                                                                   Return Net (USD)




                                                                                                                                                                                                                                                                 LPX Buyout Index
                                                                  S&P 500 Total




                                                                                                                                                                                                                                                                                     REIT TR Index




                                                                                                                                                                                                                                                                                                            Traders Index
                                                                  Return Index




                                                                                                                                                                 GSCI TR
 Annualized ROR                         8.99%                    11.06%            7.12%                    6.41%                     9.04%                     6.32%       5.36%                     11.23%                       12.89%                       5.20%                8.55%                 0.89%

 Annualized Standard Deviation         10.47%                    15.62%           15.42%                    3.45%                     6.30%                    19.56%      15.02%                      7.08%                        9.31%                      27.61%               16.77%                 3.56%

 Annualized Semideviation               4.76%                    11.55%           11.47%                    2.26%                     3.69%                    13.66%      11.36%                      5.29%                        6.20%                      19.97%               14.87%                 2.17%

 Worst Drawdown                        -13.31%                   -50.95%          -55.37%                   -3.63%                   -12.43%                   -67.65%     -54.26%                    -21.42%                      -30.59%                     -80.95%              -67.56%                -8.28%

 Sharpe Ratio (Risk Free Rate = 0%)     0.86                      0.71             0.46                      1.86                     1.44                      0.32        0.36                       1.59                         1.38                        0.19                 0.51                  0.25

 Sortino Ratio (Risk Free Rate = 0%)    1.89                      0.96             0.62                     2.84                      2.45                      0.46        0.47                       2.12                         2.08                        0.26                 0.57                  0.41

 Skewness                               1.00                     -0.63            -0.64                     -0.41                     1.03                     -0.21       -0.59                      -0.71                        -0.25                        0.28                -1.26                  -0.06

 Excess Kurtosis                        2.66                      2.09             1.56                      1.60                     6.85                      2.49        2.83                       2.41                         1.76                        4.47                 8.33                  -0.10

 Omega (3% Threshold)                   1.60                      1.53             1.42                      1.85                     2.18                      1.23        1.20                       2.29                         2.17                        1.20                 1.40                  0.67



 Months                                  300                       384               384                        170                     382                      384         251                        264                          264                         168                   264                      48

 Positive Months                         170                       243               227                        121                    264                       218         149                        188                          182                         102                   159                      19

 Negative Months                         130                        141               157                        49                      117                     166         102                        76                           82                          65                    105                      29

 Percent Winning Months                56.67%                    63.28%           59.11%                    71.18%                   69.11%                    56.77%      59.36%                     71.21%                       68.94%                      60.71%               60.23%                 39.58%

 Average Month                          0.76%                     0.98%            0.67%                    0.52%                     0.74%                     0.67%       0.53%                      0.91%                        1.05%                       0.74%                0.81%                 0.08%

 Average Positive Month                 2.67%                     3.58%            3.50%                     1.01%                    1.55%                     4.31%       3.17%                      1.90%                        2.40%                       5.19%                3.52%                  1.11%

 Average Negative Month                -1.72%                    -3.49%           -3.42%                    -0.67%                   -1.09%                    -4.10%      -3.32%                     -1.52%                       -1.95%                      -6.24%               -3.31%                 -0.60%



 Modern Portfolio Theory
 Correlation to S&P 500                -0.04                      1.00             0.88                     -0.10                     0.19                      0.17        0.30                       0.74                         0.73                        0.75                 0.61                  -0.50
 Total Return

 R Squared                              0.00                      1.00             0.77                     0.01                      0.04                      0.03        0.09                       0.55                         0.53                        0.56                 0.38                  0.25

 Beta                                  -0.02                      1.00             0.87                     -0.02                     0.08                      0.21        0.30                       0.34                         0.44                        1.24                 0.68                  -0.09

 Alpha                                  0.78%                     0.00%           -0.17%                    0.54%                     0.66%                     0.47%       0.29%                      0.65%                        0.71%                       0.22%                0.29%                 0.08%


Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH. All statistics calculated to maximize number of observations; as such, number of observations used for
calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US Index - Sep 1997, Barclays
Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity Hedge Index - Jan 1990, LPX
Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through Dec 2011 with the exception of
the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008.




14      Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




HIDDEN RISK: THE IMPORTANCE OF LIQUIDITY,
TRANSPARENCY AND CUSTODY

Model risk always exists, as no model is perfect by definition.        The lack of transparency and difficulty involved in pricing illiquid
What is less appreciated by many in the investment community           instruments magnifies model risk. Infrequent pricing of instruments
is that model risk and liquidity risk are entangled. There are no      obfuscates the relationships among market price and the different
valuation issues with exchange-traded instruments, and model risk      factors or variables used in pricing or trading models, complicating
is magnified when dealing with illiquid instruments. In general, the   their testing and design. Lack of transparency and illiquidity
less liquid the instruments traded, the more hidden risk, and the      substantially reduce the margin of error during the research and
more dangerous model risk becomes. The historic 2008 financial         development of trading or risk models. The losses that will ensue
meltdown is a vivid example of this statement [Bhaduri and Art,        in the event that models fail to account for a critical piece of
2008].                                                                 information, will be of an order of magnitude many times larger for
                                                                       illiquid instruments due to the relative thinness of these markets.
Most managed futures programs by definition trade exclusively
                                                                       The seller will likely have to accept a deep discount in price to
exchange-listed futures or options on futures. Settlements on
                                                                       exit an illiquid position, particularly during a “fire sale” or crisis
all futures contracts are determined by the various exchanges
                                                                       event. The credit debacle of 2007-2008, for example, exposed many
at the end of each trading day, compelling managers to mark
                                                                       hedge funds and other sophisticated investors who had invested in
their books to market. Many CTAs also trade the inter-bank FX
                                                                       structured debt products whose models failed to incorporate many
forward market, where the process of price discovery takes place
                                                                       of the hidden risks. The investors and portfolio managers holding
24 hours a day. It is also one of the deepest and most liquid in the
                                                                       these instruments suffered deep losses as they struggled to find
world. These qualities enable hedge fund investors to mitigate or
                                                                       liquidity in thin markets, or watched other positions go to zero due
completely eliminate some of the more deleterious risks associated
                                                                       to poor assumptions made by the rating agencies.
with investing in alternatives. The liquidity of the underlying
instruments traded as well as the high level of transparency           Conversely, risk managers can monitor and control risk with relative
available through managed account investments with CTAs                ease due to the transparency and liquidity of futures contracts.
facilitates tactical asset allocation. Investors and CTAs alike can    Instead of relying on complex models with numerous assumptions,
easily exit unprofitable positions, or positions that they expect to   risk managers are free to focus on monitoring margin to equity,
become unprofitable in the near future, with minimal slippage,         counting contracts and testing for disaster scenarios, such as
usually in a matter of minutes.                                        correlation convergence with a multiple standard deviation shock.
                                                                       Transparency and constant price discovery facilitates simple, no
Ironically, the liquid, transparent, marked-to-market nature of the
                                                                       nonsense testing and monitoring. Investing via separately managed
instruments traded by liquid hedge funds may make their returns
                                                                       accounts, a common practice among managed futures investors,
appear more volatile or risky than those of many hedge funds
                                                                       facilitates risk management tremendously by providing the investor
trading esoteric or illiquid instruments, which trade infrequently
                                                                       with full transparency and in extreme cases, the ability to intervene
and are therefore marked to a stale price or a model. As a result,
                                                                       against the trading manager by liquidating or neutralizing positions.
these hedge funds often intentionally or unintentionally smooth
their returns, artificially dampening their volatility and depth of
their drawdowns.




                                                                          Past performance is not necessarily indicative of future results.   15
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Hidden sources of risk that many hedge fund investors do not fully       Returning to the ever-important topic of liquidity, it is worth
appreciate are the structural and operational risks associated with      pointing out that from a behavioral finance point of view, it is easy
investing directly into a fund vehicle. Fund investments require the     for investors to underestimate the value of liquidity [Bhaduri and
investor to transfer money to the trading manager with an implicit       Whelan, 2007]. If a hedge fund is trading illiquid instruments and
guarantee that it will be returned at some future date. Wiring           has a long lock-up, then simply comparing its return statistics to a
money to the manager exposes the investor to the risk of fraud or        CTA that is trading exchange-traded instruments and does not have
theft of the investment. Managed account investments mitigate            a lock-up is incorrect, since it does not assign a value to liquidity
this risk by giving the manager limited power of attorney to trade       [Bhaduri and Art, 2008]. Lock-ups by private equity funds and
on behalf of the investor, who maintains legal custody of the cash       hedge funds trading illiquid instruments cost the investor in terms
and instruments at his FCM. Wiring money to a manager also               of reduced flexibility, and they should be rewarded with higher
exposes the investor to operational risks, and requires expensive and    returns to compensate for this. There are not yet many measures
time-consuming due diligence on the manager’s middle and back            or instruments to deal with this problem [Bhaduri, Meissner, and
office processes, as well as its service providers. Fund investments,    Youn, 2007].
including those in liquid instruments, often attempt to impose
lockups, gates, or onerous redemption terms on investors. Most
fund documents also give the general partner the right to suspend
redemptions, in effect providing the manager with a call option
on the liquidity it had previously offered investors. There is no real
value added by having the money housed with the manager who
is being paid to try and provide an attractive risk-adjusted return
over time with proper risk controls. Managers who refuse to grant
managed accounts are in essence refusing to give transparency and
are subjecting their clients to additional risks.




16   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




THE LACK OF CORRELATION AND POTENTIAL
FOR PORTFOLIO DIVERSIFICATION

After highlighting the attractive risk and return properties of                     Exhibit 7 on page 20, “Correlation Matrix: Traditional and
managed futures, Lintner turns to a discussion of the lack of                       Alternative Investment Benchmarks,” illustrates the low and
correlation of managed futures with other investments. He then                      occasionally negative correlations between managed futures and
concludes his paper by presenting evidence of the substantial                       other investments. The highest of these were 0.20 and 0.22 with
improvements in risk and return that managed futures contribute                     the bond indices, and the lowest was -0.21 with the Listed Private
as part of a diversified portfolio of equities and fixed income                     Equity (LPX) Buyout Index, suggesting that significant benefits
(Lintner 1996, 105). The absence of correlation between managed                     would accrue to investors who added managed futures to portfolios
futures, traditional investments, and other alternative investments                 including some or all of these investments. These correlations will
creates a prominent role for this liquid, transparent hedge fund                    be explored in more detail later in this section.
strategy in institutional portfolios.
                                                                                    Exhibit 5 demonstrates that managed futures greatly improve
The long-term correlations among equities, fixed income and                         the efficient frontier from a mean-variance framework. This is
managed futures remain low even 25 years after Lintner’s study,                     congruent with the earlier findings of Lintner.
suggesting a continuing relevance to investors interested in
attaining the “free” benefits of diversification.


Exhibit 5: Efficient Frontier: BTOP 50 Index and Traditional Portfolio of Equities and Fixed Income
January 1987 – December 2011




                 Source: AlphaMetrix Alternative Investment Advisors, Bloomberg.
                 Barclays Capital Bond Composite Global Index did not report returns for Sep 2008 and Oct 2008




                                                                                        Past performance is not necessarily indicative of future results.   17
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Recall that when the Omega score drops below one, the quality                          The Omega graph in Exhibit 6 indicates that for low thresholds,
of the investment with respect to achieving the threshold is poor.                     the combination of managed futures and a traditional portfolio is
(For a review of Omega graphical analysis, please refer to Ranjan                      best, and for higher thresholds, a portfolio of managed futures is
Bhaduri and Bryon Kaneshige, “Risk Management – Taming the                             dominant.
Tail,” Benefits and Pensions Monitor, December 2005.) Studying
                                                                                       These Omega results yield a very compelling argument for the
the potential role of managed futures in traditional portfolios of
                                                                                       inclusion of managed futures in an institutional portfolio.
stocks with the Omega lens for risk-adjusted performance is taking
a modern approach to the Lintner study. As stated earlier, Lintner
did not have the benefit of the Omega tool during the time he
conducted his work, and the Omega function encodes all the higher
statistical moments and distinguishes between upside and downside
volatility.

EXHIBIT 6: Omega Graph: BTOP 50 Index and Traditional Portfolio of Equities and Fixed Income
January 1987 – December 2011




       Source: AlphaMetrix Alternative Investment Advisors, Bloomberg. The Barclays Capital Bond Composite Global Index did not report Sep 2008 and Oct 2008




18   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




Correlations Between Managed Futures and Other                           Lintner analyzed the portfolio benefits of combining managed
Investments                                                              account investments in fifteen different futures programs using
The variety of trading sub-styles within managed futures and the         different weighting schemes. For our purposes, the weighting
lack of correlation among them, as well as to other traditional and      schemes are not important since these may vary according to the
alternative investments, makes it possible to enhance the return         portfolio manager’s objectives. Instead, this section will focus on
or diminish the risk of portfolios through the addition of managed       the correlations among managers since these provide the most
futures “alpha” strategies. These include sub-styles such as short-      information about potential benefits to be had from diversification.
term trading, niche discretionary strategies, relative-value, etc.       For simplicity, it also will distill correlations among managers into
These qualities make it possible to construct diversified, liquid,       average pair-wise correlation.
transparent fund of funds and portfolios by combining uncorrelated
                                                                         This section also draws upon the performance of the constituents
programs. Lintner’s pioneering research demonstrated that there
                                                                         of the Newedge Short-Term Traders Index, a theoretical index of
are substantial benefits which accrue from “selective diversification”
                                                                         10 trading programs whose holding period is less than ten days on
across a number of different futures managers and funds due to the
                                                                         average, trade two or more market sectors, and which are open for
“rather moderate” correlations among them (Lintner 1996, 105).
                                                                         investment (Burghardt et.al. June 9, 2008, 4). There is some risk of
The astronomically high number of combinations and permutations
                                                                         survivorship bias since all of the constituent programs remain open
of portfolio holdings and investment horizons of short-term traders,
                                                                         for investment. Selection bias appears to be less of a concern since
and accordingly, the unique and uncorrelated returns which result,
                                                                         this index contains managers of all trading styles, track records of
make them a fascinating case for revisiting Lintner’s analysis of
                                                                         various lengths, and various levels of assets under management.
diversification among futures managers.
                                                                         Regardless, while the constituents of the index do not provide
                                                                         an exhaustive sample, it is likely that they provide one which is
                                                                         representative of short-term trading and its correlation properties.




                                                                           Past performance is not necessarily indicative of future results.   19
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EXHIBIT 7: Correlation Matrix of Traditional Alternative Investment Benchmarks
                                                                  S&P 500 Total Return Index




                                                                                                                                                                                                         HFRI Fund Weighted Index
                                                                                                                                                                              DJ UBS Commodity Index




                                                                                                                                                                                                                                      HFRI Equity Hedge Index
                                                                                                                                        Composite Global Index
                                        Barclay BTOP 50 Index




                                                                                                                                        Barclays Capital Bond




                                                                                                                                                                                                                                                                                                           Newedge Short-Term
                                                                                                                                                                                                                                                                                     S&P/Citigroup World
                                                                                                                   Composite US Index
                                                                                                MSCI World Index




                                                                                                                                                                                                                                                                  LPX Buyout Index
                                                                                                                   Barclays Capital




                                                                                                                                                                                                                                                                                                           Traders Index
                                                                                                                                                                                                                                                                                     REIT Index
                                                                                                                                                                   GSCI TR
 Barclay BTOP 50 Index                1.00

 S&P 500 Total Return Index          -0.04                       1.00

 MSCI World Index                    -0.01                      0.88                            1.00

 Barclays Capital Composite           0.20                      -0.10                          -0.09                1.00
 US Index

 Barclays Capital Bond                0.22                      0.19                           0.23                0.89                  1.00
 Composite Global Index

 GSCI TR                              0.12                      0.17                           0.23                -0.03                0.00                      1.00

 DJ UBS Commodity Index               0.17                      0.30                           0.40                0.01                 0.11                     0.90         1.00

 HFRI Fund Weighted Index            -0.02                      0.74                           0.75                -0.08                0.06                     0.30        0.44                       1.00

 HFRI Equity Hedge Index             -0.02                      0.73                           0.72                -0.08                0.06                     0.35        0.43                      0.95                          1.00

 LPX Buyout Index                    -0.21                      0.75                           0.77                -0.10                -0.14                    0.30        0.31                      0.77                         0.78                         1.00

 S&P/Citigroup World                 -0.02                      0.61                           0.64                0.18                 0.26                     0.22        0.37                      0.51                         0.49                        0.60                  1.00
 REIT Index

 Newedge Short-Term                   0.54                      -0.50                          -0.44               0.00                 0.08                     -0.14       -0.09                     -0.34                        -0.40                       -0.48                -0.42                    1.00
 Traders Index


Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH, Newedge. All statistics calculated to maximize number of observations; as such, number of
observations used for calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US
Index - Sep 1997, Barclays Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity
Hedge Index - Jan 1990, LPX Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through
Dec 2011 with the exception of the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008.




Lintner found that the “average correlation between the monthly                                                                                         The average pair-wise correlation among the constituents of the
returns of each manager with those of every other manager,” or                                                                                          Newedge Short-Term Traders Index was 0.175, another very low
average pair-wise correlation, among the fifteen managers in his                                                                                        value which supports the conclusion that short-term traders, like
sample was 0.285, with a minimum of 0.064 and a maximum of                                                                                              those managed futures programs in Lintner’s sample, generally
0.421 (Lintner 1996, 110). This extremely low average pair-wise                                                                                         exhibit low correlations to one another (Burghardt et.al. June 9,
correlation, and the sample maximum of 0.421 suggests that                                                                                              2008, 4).
the trading programs Lintner analyzed would generally have
contributed to a portfolio in which any of them were part of the
whole.




20    Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




The minimum pair-wise correlation within the sample was -0.142                     of diversified, liquid, transparent “alpha” strategies. If managed
and the maximum was 0.556, comparable to the results from                          futures consisted solely of trend following strategies, this would
Lintner’s sample albeit with slightly wider dispersion. Pair-wise                  be a difficult if not impossible exercise, given the tendency
correlations are displayed in Exhibit 8.                                           toward high correlation among trend followers. The diverse
                                                                                   and uncorrelated investments offered by CTAs, however, allow
The lack of correlation among managed futures strategies, as
                                                                                   institutional investors access to an entire universe of liquid,
well as with traditional and other alternative investments, allows
                                                                                   transparent hedge fund strategies.
them to contribute to most portfolios. The analysis of pair-
wise correlation also provides an illuminating example of how
futures trading programs can be combined to create a portfolio




EXHIBIT 8: Distribution of Pair-Wise Correlations Newedge Short-Term Traders Index




                         Source: AlphaMetrix Alternative Investment Advisors, Newedge Group, Burghardt et.al




                                                                                       Past performance is not necessarily indicative of future results.   21
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MANAGED FUTURES AND PERFORMANCE DURING
FINANCIAL MARKET DISLOCATIONS

The volatility and market dislocation that accompanied the               Although managed futures returns tend to be uncorrelated to other
subprime mortgage crisis, credit crunch, and explosion and collapse      investments over the long run, correlations are non-stationary over
of commodities prices during the second half of 2007 and 2008,           shorter time horizons and may temporarily converge during crisis
was briefly alluded to earlier in this paper. The diversified mix of     conditions. Ramsey and Kins point to “the case of exogenous events
investments many institutional investors had relied upon failed to       like the failed Russian coup in the 1990s or September 11, 2001”
generate returns. The major U.S. and Global equities market indices,     as examples where managed futures would not have been effective
the S&P 500 and MSCI World, performed dismally, returning -37.94         as a portfolio hedge and would have experienced losses alongside
percent and -39.90 percent, respectively, from August 2007 when          other investments and actively managed strategies (Ramsey and
the credit crisis began, through December 2008.                          Kins 2004, 130). Not all market dislocations are the same, making
                                                                         CTAs vulnerable to rapid reversals or the sudden onset of volatility.
Most alternative investments, which had promised absolute returns,
                                                                         The reaction of managed futures strategies to price action is path
disappointed investors as well. The HFRI Fund Weighted Composite
                                                                         dependent, and the response of the program to prevailing price
Index, an equally weighted index designed to represent the returns of
                                                                         action during a crisis determines performance, at least in the short-
hedge funds across all strategies, returned -17.21 percent from August
                                                                         term.
2007 through December 2008. The HFRI Equity Hedge (Total)
Index, which includes hedge funds whose core holdings consist of         Certain generalizations about CTA returns and the market
equities and therefore does not benefit as much from diversification     conditions that generate them do tend to result in bouts of strong,
as the HFRI Fund Weighted Composite Index, returned -25.06               positive performance during certain kinds of market dislocations.
percent. Private Equity and Real Estate Investment Trusts,               The majority of CTAs trade “long volatility” strategies, which tend
represented by the LPX Buyout Index and the S&P/Citigroup World          to produce a positively skewed distribution of monthly returns. The
REIT Index, returned an atrocious -71.91 percent and -47.40 percent,     long option/positive gamma returns profile originates from the tight
respectively, from August 2007 through December 2008. CTAs,              control of downside risk relative to less frequent outsized returns,
however, capitalized on the market dislocations of 2007 and 2008,        suggesting that these managers generate the majority of their
providing managed futures investors with returns of 17.57 percent        returns during lower frequency, high impact events. In contrast,
over the same period, as measured by the BTOP 50 index.                  most hedge fund strategies have fat left tails in their distributions of
                                                                         returns since they perform well under normal conditions but suffer
Ramsey and Kins posit that “though not a hedge, CTAs often
                                                                         infrequent, large losses under highly volatile conditions and should
perform very well when markets are under extreme stress, and
                                                                         therefore be considered short volatility strategies (Ramsey and Kins
have a high probability of adding value to an existing portfolio
                                                                         2004, 130). These “tail events” for CTAs and hedge funds tend to
during difficult market conditions” (Ramsey and Kins 2004,
                                                                         coincide with massive shifts of capital which create trends in global
134). This is because managed futures tend to capture massive
                                                                         equity, interest rate, and commodities markets stemming from a
flows of capital as markets reestablish equilibrium in the wake of
                                                                         flight to or from quality. Any dislocations which catalyze trends of
new information or in the transition from one economic cycle to
                                                                         this sort can and often do result in strong performance for managed
another. It cannot be emphasized enough that managed futures
                                                                         futures.
are not and should not be treated as a portfolio hedge, but rather
as an additional source of non-correlated returns, as this paper has
demonstrated.




22   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




Exhibit 9, “Performance of BTOP 50 During Worst 15 Quarters of                “Black Monday” in 1987, the events leading up to the Persian Gulf
S&P 500 Index,” illustrates that CTAs have historically capitalized           War in 1990, Long Term Capital Management and the Russian
on the various forms of volatility which accompany market                     Crisis in 1998, the burst of the tech bubble and ensuing recession in
dislocations, be they sustained trends consistent with a flight to or         2000-2002, the credit crunch and commodity run-up of 2007-2008,
from quality, shorter-term choppy price action, or sudden reversals           and the European Sovereign Debt Crisis, all serve as examples of
associated with rapid swings in sentiment explained by market                 market dislocations during which the performance of equities
psychology and behavioral finance. Exhibit 9 provides a compelling            suffered and managed futures performed well.
reason to include managed futures in a prudent and properly
diversified portfolio.



EXHIBIT 9: Performance of the BTOP 50 Index During 15 Worst Quarters of S&P 500 (Total Return) Index

 Period                           Event                                               S&P 500 Total Return Index   Barclay BTOP 50 Index   Difference

 Fourth Quarter 1987              Black Monday - Global Stock Markets Crash                   -22.53%               16.88%                  39.41%
 Fourth Quarter 2008              Bear Market in U.S. Equities led by Financials              -21.95%                9.14%                  31.08%
 Third Quarter 2002               WorldCom Scandal                                            -17.28%                9.41%                  26.69%
 Third Quarter 2001               Terrorist Attacks on World Trade Center                     -14.68%                4.12%                  18.79%
                                  and Pentagon
 Third Quarter 1990               Iraq Invades Kuwait                                         -13.75%                11.22%                 24.97%
 Second Quarter 2002              Continuing Aftermath of Technology                          -13.39%                8.52%                  21.92%
                                  Bubble Bursting
 First Quarter 2001               Bear Market in U.S. Equities led by Technology              -11.86%                5.97%                   17.83%
 Second Quarter 2010              European Sovereign Debt Crisis, "Flash Crash"               -11.42%                -1.94%                  9.48%
 First Quarter 2009               Credit Crisis Continues                                      -11.01%               -1.75%                  9.26%
 Third Quarter 1998               Russia Defaults on Debt, LTCM Crisis                         -9.94%               10.54%                  20.48%
 First Quarter 2008               Credit Crisis, Commodity Prices Rally                        -9.45%                6.43%                  15.88%
 Third Quarter 2011               European Sovereign Debt Crisis                               -8.90%                0.44%                   9.34%
 Third Quarter 2008               Credit Crisis, Government-Sponsored Bailout                  -8.37%               -4.11%                   4.26%
                                  of Banks
 Fourth Quarter 2000              DotCom Bubble Bursts                                         -7.82%               19.78%                  27.60%
 Third Quarter 1999               Anxiety during Run Up to Y2K                                 -6.24%               -0.67%                   5.57%


Source: AlphaMetrix Alternative Investments Advisors, Bloomberg




                                                                                   Past performance is not necessarily indicative of future results.    23
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Exhibit 10, “BTOP 50 vs. S&P 500 During S&P 500’s Worst Five                           The quarter-by-quarter analysis provides a high level of granularity,
Drawdowns Since 1987,” illustrates the tendency of CTAs to                             and also provides further evidence that managed futures tend to
perform well during periods which are difficult for equity markets,                    perform well during extended dislocations, but do not always do
albeit through a different lens. It illustrates the performance of                     so. It is also worth noting that the historic quarters referred to in
the BTOP 50 Index from peak to valley during the five worst                            Exhibit 9 all are referencing periods after the Lintner study, and
drawdowns of the S&P 500, each associated with a different                             thus further corroborate his important findings.
financial market dislocation.



EXHIBIT 10: BTOP 50 vs. S&P 500 Total Return Index’s Worst Five Drawdowns since 1987




                 Source: AlphaMetrix Alternative Investment Advisors, Bloomberg

                 *S&P 500 Total Return Index had not completely recoved from its drawdown beginning in 11/07, due in part to its depth and severity; the drawdown
                 beginning 5/11 is included because it would have qualified as one of the worst had the index recovered to its previous highs




24   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




Similarly, Exhibit 11, “Performance of the BTOP 50 in Worst 10                        CTA performance tend to coincide with the left tail events of
Quarters of HFRI Fund Weighted Composite Index,” suggests that                        hedge funds, suggesting that managed futures should complement
managed futures have historically tended to perform well when                         most alternative investment portfolios.
the performance of many other hedge fund strategies suffers.
This lends credence to the idea that the tail events which drive



EXHIBIT 11: Performance of the BTOP 50 Index During Worst 10 Quarters of HFRI Fund Weighted Index

 Period                              Event                                                    HFRI Fund             BTOP 50 Index          Difference
                                                                                              Weighted Index
 Third Quarter 2008                  Credit Crisis, Government-Sponsored Bailout                -9.60%                -4.11%                  5.49%
                                     of Banks
 Fourth Quarter 2008                 Bear Market in U.S. Equities led by Financials             -9.19%                 9.14%                 18.33%
 Third Quarter 1998                  Russia Defaults on Debt, LTCM Crisis                       -8.80%                10.54%                 19.34%
 Third Quarter 2011                  European Sovereign Debt Crisis                             -4.14%                 0.44%                  4.58%
 Third Quarter 2001                  September 11th Terrorist Attacks                           -4.03%                 4.12%                  8.15%
 Third Quarter 1990                  Saddam Hussein invades Kuwait, Oil Price Shock             -3.92%                 11.22%                15.15%
 Third Quarter 2002                  WorldCom Scandal                                           -3.85%                 9.41%                 13.27%
 First Quarter 2008                  Credit Crisis, Collapse of Bear Stearns                    -3.44%                 6.43%                  9.88%
 Fourth Quarter 2000                 DotCom Bubble Bursts                                       -3.26%                19.78%                 23.03%
 Second Quarter 2010                 European Sovereign Debt Crisis, "Flash Crash"              -2.67%                 -1.94%                 0.73%


Source: AlphaMetrix Alternative Investment Advisors, Bloomberg




                                                                                        Past performance is not necessarily indicative of future results.   25
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Exhibit 12, “BTOP 50 vs. HFRI Fund Weighted Composite Index’s            Short-term traders are usually engineered to perform better during
Worst Five Drawdowns Since 1990,” provides an additional                 a higher volatility regime, although of a different type than that
perspective as before. Once again it seems that the performance of       which is conducive to trend following. Volatility describes only the
managed futures complements other actively managed strategies            dispersion of changes in price around the mean, not the manner in
during periods of market dislocation or duress.                          which they unfold. Proper, rigorous due diligence always needs to be
                                                                         conducted, but there are many excellent CTAs of various strategies
While managed futures have proven to be a great diversifier
                                                                         that should do well on a risk-adjusted basis over the long-run.
during equity drawdowns, it is incorrect to assume that they are
necessarily a pure hedge for equities. It is true that good trend-       It is also essential to highlight the fact that certain dislocations
followers are supposed to catch trends, so during a prolonged bear       or events may produce market environments which are difficult
market, a good trend-following program should be able to generate        for most hedge fund strategies, including certain managed
returns. However, that does not mean that if there is a quick and        futures strategies. The diversity within and the lack of correlation
sudden drop in the equity market, that a trend-following CTA will        among alternative investments, and within and among managed
necessarily be positive. As stated earlier, the universe of managed      futures in particular, suggests that it is highly likely that at least
futures is diverse, with many different types of trading strategies –    a few alternative strategies will outperform during any given
not just trend followers.                                                environment. Again, it may be helpful to think of different
                                                                         alternative investments and market environments in terms of the
                                                                         radio signal and receiver analogy.

EXHIBIT 12: BTOP 50 vs. HFRI Fund Weighted Index’s Worst Five Drawdowns since 1990




        Source: AlphaMetrix Alternative Investment Advisors, Bloomberg




26   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




Managed futures present very real risks for investors just like        trade execution and order flow, and compliance and operational
any other hedge fund style. Investors can potentially experience       policies and procedures. The investor should also take care to
volatility and substantial drawdowns, especially if the trading        read and understand any disclosure documents, prospectuses,
manager has set a higher return objective and is taking more risk      and offering memoranda prior to investing in a manager’s fund
to try to obtain it. Investors should always conduct thorough due      in order to understand additional risks and relevant disclosures.
diligence to properly understand the potential risks and weaknesses    It is also important to make sure that proper governance and
of trading programs before investing. This is especially important     separation of duties exists within the trading manager as well as
because the trading methodologies employed by CTAs, the level of       among the trading manager, its fund, and service providers. Only
risk and return that is targeted, and the quality of the operational   by conducting proper due diligence and vetting of the trading
infrastructure of trading managers may vary tremendously across        methodology and manager’s credentials can the investor determine
the space. As such, it is critical that the investor takes the time    the suitability and potential risks of the investment.
to properly understand the nuances of the trading manager’s
                                                                       Managed futures provide an additional source of uncorrelated
investment strategy, risk management, as well as the domain of
                                                                       absolute return that complements other alternative investment
instruments traded and potential concentration risks. The investor
                                                                       strategies by demonstrating a proclivity for outperformance during
should also be acutely aware of operational risks and should make
                                                                       periods which tend to be difficult for many other actively managed
every effort to understand the relationship between the trading
                                                                       investments.
manager, associated entities, patterns in personnel turnover,




                                                                         Past performance is not necessarily indicative of future results.   27
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An analysis of the semicorrelations provides further insight into the                                                                   The lack of strong negative semicorrelation with cyclical investments
performance of managed futures during financial market dislocations.                                                                    provides further evidence that a managed futures strategy is not a
Semicorrelation provides a clear picture of the relationship between                                                                    portfolio hedge. The weak negative semicorrelation, however, may
the returns of two investments when one of them experiences losses.                                                                     suggest that managed futures do offer an uncorrelated investment style
Exhibit 13 shows the semicorrelations among the BTOP 50 Index                                                                           that tends to perform well during financial market dislocations; rolling
and various other traditional and alternative benchmarks. Like the                                                                      analysis may provide deeper insight into this question.
correlations in Exhibit 7, all of the coefficients of semicorrelation
                                                                                                                                        Paradoxically, the tremendous diversity of trading styles and
are less than 0.30, and many of them are negative. The fact that
                                                                                                                                        methodologies within managed futures and the lack of correlation
all semicorrelations are bounded between -0.30 and 0.20 does
                                                                                                                                        among many of them does not appear to preclude them from sharing a
not provide evidence of any strong relationships among the BTOP
                                                                                                                                        penchant for most kinds of volatility or apparent resistance to it. Trend
50 Index and the other indices on the downside. The signs of
                                                                                                                                        following conjures up the archetypal image of the long gamma strategy
the coefficients, however, are congruent with intuition and the
                                                                                                                                        that thrives during financial market dislocations, but trading managers
hypothesis that managed futures perform well during financial market
                                                                                                                                        across the entire space tend to generate strong performance in difficult
dislocations. The semicorrelation coefficient between the BTOP 50
                                                                                                                                        environments for other investments. The tendency toward high
Index and each of the investments that tend to be cyclical in nature,
                                                                                                                                        correlation among trend followers suggests that investors can typically
namely equities, hedge funds, and private equity, is weak negative.
                                                                                                                                        maximize the benefits to their portfolios with a small number of
Conversely, the semicorrelation coefficient between the BTOP 50
                                                                                                                                        them. Other managed futures strategies, however, successfully exploit
Index and each of those investments which tend to be counter-
                                                                                                                                        the sustained massive flows of capital that create trends in different
cyclical, such as fixed income and commodities, is weak positive.
                                                                                                                                        ways, resulting in distinct and uncorrelated returns profiles. Still
Others still are so close to zero that it appears there is no relationship.
                                                                                                                                        others exploit altogether distinct phenomena that tend to accompany
                                                                                                                                        financial market dislocations or are independent of them.

EXHIBIT 13: Semicorrelations of BTOP 50 Index and Various Traditional and Alternative
Investment Benchmarks
January 1980 - December 2011
                                                                                                                                                                        HFRI Fund Weighted Index
                                                                                                                                              DJ UBS Commodity Index




                                                                                                                                                                                                    HFRI Equity Hedge Index
                                                                                                    Composite Global Index
                                                                                                    Barclays Capital Bond
                                                      MSCI World Daily Total




                                                                                                                                                                                                                                                                         Newedge Short-Term
                                                                                                                                                                                                                                                   S&P/Citigroup World
                                                                               Composite US Index
                                                      Return Net (USD)




                                                                                                                                                                                                                                LPX Buyout Index
                                                                               Barclays Capital
                                      S&P 500 Total




                                                                                                                                                                                                                                                   REIT TR Index




                                                                                                                                                                                                                                                                         Traders Index
                                      Return Index




                                                                                                                              GSCI TR




 Barclay BTOP 50 Index               -0.23            -0.22                    0.12                 0.14                     0.11            -0.03                     -0.30                       -0.19                      -0.30                -0.09                 0.37

Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH, Newedge. All statistics calculated to maximize number of observations; as such, number of observations
used for calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US Index - Sep 1997,
Barclays Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity Hedge Index - Jan 1990,
LPX Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through Dec 2011 with the exception
of the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008.




28    Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




Discretionary macro traders who utilize the liquid, transparent                                                                          volatility is high. Other short-term traders appear to generate returns
futures markets to express their views tend to capture many of                                                                           independent of volatility or the prevailing volatility regime. The
the same sustained capital flows as trend followers. Unlike trend                                                                        highly flexible nature of short-term traders enables them to quickly
followers, however, these trading managers retain the flexibility                                                                        reposition themselves within rapidly changing market environments.
to quickly reduce risk or reverse their positions, often resulting in                                                                    As such, they often perform very well during market dislocations
completely unique and uncorrelated returns for their investors. Other                                                                    since they adapt quickly to take advantage of the opportunities these
discretionary CTAs focus on relative value relationships or on a niche                                                                   shock events present.
market or sector which may not be sensitive to global systematic
                                                                                                                                         Exhibit 14 illustrates the semicorrelations between the Newedge
events. As such, these trading managers often generate strong returns
                                                                                                                                         Short-Term Traders Index (Proforma) and different traditional and
during shocks or dislocations to the system and display non-correlated
                                                                                                                                         alternative benchmarks over the life of the index.
properties to trend followers and other investments.
                                                                                                                                         The extremely short track record of this theoretical index may result
Short-term traders thrive on many kinds of volatility, including the
                                                                                                                                         in some spurious correlations, but in the tradition of Professor
sustained variety that generates trends, but also on choppy, range-
                                                                                                                                         Lintner, we attempt to make due with the data available.
bound activity and rapidly shifting volatility regimes where volatility of



EXHIBIT 14: Semicorrelations of Newedge Short-Term Traders Index and Various Traditional and Alternative
Investment Benchmarks
January 1980 - December 2011
                                                                                                                                                                                                     HFRI Fund Weighted Index
                                                                                                                                                                           DJ UBS Commodity Index




                                                                                                                                                                                                                                 HFRI Equity Hedge Index
                                                                                                                                Composite Global Index
                                          Barclay BTOP 50 Index




                                                                                  MSCI World Daily Total




                                                                                                                                Barclays Capital Bond




                                                                                                                                                                                                                                                                                S&P/Citigroup World
                                                                                                           Composite US Index
                                                                                  Return Net (USD)




                                                                                                                                                                                                                                                             LPX Buyout Index
                                                                                                           Barclays Capital
                                                                  S&P 500 Total
                                                                  Return Index




                                                                                                                                                                                                                                                                                REIT Index
                                                                                                                                                                GSCI TR




 Newedge Short-Term                      0.34                     -0.50           -0.54                    0.35                 0.58                          -0.39       -0.53                     -0.54                       -0.58                      -0.52                -0.41
 Traders Index


Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH, Newedge. All statistics calculated to maximize number of observations; as such, number of observations
used for calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US Index - Sep 1997,
Barclays Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity Hedge Index - Jan 1990,
LPX Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through Dec 2011 with the exception
of the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008.




                                                                                                                                                         Past performance is not necessarily indicative of future results.                                                                            29
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BENEFITS TO INSTITUTIONAL INVESTORS

Managed futures provide institutional investors with a variety           Rather than allowing cash to sit idle, many futures investors prefer
of liquid, transparent investment programs that do not exhibit           to deploy part of this cash to increase their trading level and
correlation to traditional or alternative investments, and               notional exposure. For instance, if an investor buys a theoretical
oftentimes, one another. Though not a hedge, they often provide          futures contract with a notional value of $100,000 and a margin
robust performance in unfavorable environments for equities              requirement of $10,000, $10,000 will be deployed as margin and
and most alternative investments. The exchange-listed nature of          $90,000 will remain in cash. If the investor chooses to do so, he
the underlying instruments traded facilitates risk management            could double his notional exposure from $100,000 to $200,000
and mitigates many of the dangers associated with model risk.            by posting an additional $10,000 as margin on the purchase of
Additionally, institutional investors who access the space via           a second futures contract. The investor now holds a notional
separately managed accounts substantially minimize operational           position of $200,000 on his $100,000 cash. This position will be
risks and the possibility of fraud, maintain custody of assets, and      able to withstand losses of 40 percent before all of the investor’s
have access to full transparency of positions. This section attempts     cash is consumed, triggering a margin call (a 40 percent loss on
to shed insight into other intrinsic features of managed futures         two $100,000 contracts equals $80,000. Any losses surpassing this
which enable institutional investors to capitalize on these desirable    level would dip below the margin requirement on this position of
characteristics.                                                         $20,000).

One of the unique advantages managed futures offer institutional
investors is the ability to notionally fund investments, allowing
investors to efficiently deploy cash to gain increased exposure or
for allocation elsewhere in the portfolio. Due to the low margin
requirements for most futures contracts, only a small fraction of
the cash deposited at the manager’s futures commission merchant
is deployed as margin for trading. The remainder sits in cash
equivalent instruments, earning interest and serving as a reserve
in the event of trading losses.




30   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




EXHIBIT 15: Managed Futures Alpha Overlay – How It Works

•	 Begin with initial capital outlay (100%).

•	 Invest 10% of the cash in managed futures. Since futures                                       Initial Capital
   require only a small cash deposit, it is easy and prudent to use                                    100%
   notional funding to increase exposure to the managed futures
   component to 20%.
                                                                                                                         Managed Futures
•	 Invest remaining 90% of cash in fund investments.                                                                       10% Cash

•	 Result is enhanced portfolio diversification for small cash outlay.
                                                                                                       Managed Futures             Managed Futures
                                                                                                         10% Cash                  10% Notional 2X
                                                                                                     (held at FCM/Prime Broker)     (posted as margin)

                                                                             Fund Investments
                                                                                90% Cash



                                                                                                    Managed Futures
                                                                                                 Alpha Overlay Portfolio
                                                                                                110% Notional Exposure




The liquidity and transparency of these instruments tremendously             Many institutional investors also appreciate the fact that managed
facilitates risk management since the notional exposure, margin              futures offer favorable 60 percent long-term, 40 percent short-term
usage, and prices of the instruments are all known. The risk                 capital gains tax treatment, despite the fact that the holding period
manager can therefore easily determine and monitor portfolio risk.           for the underlying instruments is typically less than what would
                                                                             qualify as “long-term” under U.S. tax laws.
The low margin requirements of futures contracts in effect allow for
free leverage. Whereas leverage typically involves borrowing funds           The question of asset-liability mismatch is an important
or instruments at LIBOR plus a spread, the only cost associated with         consideration for many institutional investors, particularly those
leverage via notional funding is the opportunity cost of interest income     who manage pension funds, endowments, or otherwise meet
foregone on the idle cash. Aside from utilizing idle cash to increase        recurring obligations by making periodic payments. The liquidity
notional exposure, many investors choose to reallocate it to other           of managed futures and other highly liquid hedge fund strategies
parts of their portfolio, effectively allowing them to create an alpha       alleviates asset-liability mismatch, allowing institutional investors
overlay for a relatively small fraction of the total investment capital,     for whom it is an issue to mitigate the effects of illiquid investments
as explained in Exhibit 15. Strategies like this allow for substantial       elsewhere in their portfolio. In the event that the investor needed
increases in portfolio diversification for a relatively small cash outlay.   to suddenly liquidate assets to meet an unanticipated obligation, it
                                                                             could easily do so from this part of its book without foregoing the
                                                                             opportunity to attain absolute returns.




                                                                               Past performance is not necessarily indicative of future results.    31
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CONCLUSION

Managed futures have evolved tremendously since the first                CTAs of all persuasions offer institutional investors virtually
iterations of long-term trend following in the late 1940s. Advances      limitless potential sources of uncorrelated returns to enhance the
in technology, computing power, and telecommunications have              diversification of portfolios. The fact that managed futures strategies
opened up heretofore inconceivable possibilities in futures trading,     as a whole have historically performed well in environments that
not only for quantitative or systematic managers, but also for niche     tend to be difficult for most other investments provides additional
and discretionary experts whose access to critical information has       benefits to portfolios.
been facilitated by these developments.
                                                                         While it is important to remember that managed futures are not
Quantitative scientists and researchers have been able to apply          a portfolio hedge, the mechanics of trend following, short-term
highly technical and sophisticated methods to the markets for the        trading, discretionary macro, and statistical pattern recognition
first time since the clean, high quality data which they require         explain their respective intrinsic proclivities for different kinds of
has only recently become available at accessible prices. Short-          volatile markets. The prolonged dislocation in the global financial
term traders are scouring tick databases which took years to             markets of 2007 and 2008 serves as only the latest example in a
build for persistent statistical aberrations whose exploitation has      canon of many.
been made possible by the meteoric ascent of electronic markets
                                                                         While the growth of managed futures has been impressive, it has
and decreased transactions costs. Short-term traders are at the
                                                                         paled in comparison with that of other alternative investments
frontiers of interfacing trading with technology. Trend following has
                                                                         (hedge funds that are non-managed futures, private equity, and real
emerged from its naive, primarily rules-based beginnings to a highly
                                                                         estate). There are hedge funds on the entire liquidity continuum
sophisticated group of strategies whose ability to generate robust
                                                                         between mutual funds and private equity funds, and managed
returns has been enhanced, while more closely controlling risk and
                                                                         futures should be regarded as liquid alpha, as opposed to the more
drawdown. Some trend followers employ armies of scientists and
                                                                         limited characterization of simple trend follower. The space of
mathematicians, and have formed alliances with top universities.
                                                                         managed futures is rich and fertile, with a very broad range of
If these developments are any indication, the future of managed
                                                                         strategies and styles.
futures is bright and incredible opportunities lay ahead for the next
generation of traders and investors alike.




32   Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




The liquidity and transparency of the underlying instruments              The propensity of managed futures toward positively skewed
substantially mitigate the hidden risks which often accompany             distributions of returns also suggests that few trading programs are
investing in hedge funds and alternative investments. Price               susceptible to the risk of infrequent, potentially catastrophic losses.
discovery takes place constantly in futures markets, and settlements      The mean-variance framework and Sharpe ratio rarely capture these
on all futures contracts are determined by the various exchanges at       effects, suggesting that deep analysis of the higher statistical moments
the end of each trading day, facilitating the pricing of portfolios and   or the application of the Omega function present superior approaches
the measurement and management of risk. The value of liquidity            to the assessment of investment performance, risk, and return.
is often under-estimated, and the performance of hedge funds that
                                                                          As plan sponsors, endowments and foundations reacquaint
trade illiquid instruments have under-performed hedge funds that
                                                                          themselves with managed futures – or as the case may well be,
have better liquidity terms [Bhaduri and Art, 2008].
                                                                          truly discovers them for the first time – they should consider it an
Indeed one might argue that the space of managed futures has              eclectic amalgamation of liquid alpha strategies. Managed futures
become so diverse with so many different types of risk-adjusted           offers institutional investors actively managed exposure to a truly
return possibilities to legitimately target, that it is perhaps           global and diversified array of liquid, transparent instruments. The
questionable why anyone would invest in alternatives that have            returns of many of these do not display correlation and do not appear
onerous lock-ups and trade illiquid or non-exchange traded                to be easily explained by traditional or alternative investments, and
instruments. A portfolio manager who is performing his or her             oftentimes, one another. Institutional investors should view managed
fiduciary duty must justify that the investments that they are making     futures not only as means to enhance portfolio diversification, but
are getting a proper liquidity premium. This in turn means that           also as absolute return vehicles with intuitive risk management.
if they make an investment in an illiquid vehicle, then they are in
essence stating that they could not have achieved that risk-adjusted
return through more liquid investments in managed funds. The
excellent breadth and liquidity of CTAs, or portfolios of CTAs, lends
itself well as the engine of structured products. It is important to
realize that due diligence is needed in selecting good CTAs. Like
anything else, there are both good and bad CTAs, and only rigorous
and proper due diligence will help to differentiate them. In addition,
in recent years, 40 Act Funds have been introduced that mimic
managed futures strategies. These funds have attracted a good
amount of attention and a significant amount of assets.




For more information on Managed Futures, visit www.cmegroup.com.



                                                                             Past performance is not necessarily indicative of future results.   33
cmegroup.com




CONCLUSION IN CONTEXT OF LINTNER

It is not without some trepidation that the objective of this paper       It is also fitting that during the silver anniversary of Dr. Lintner’s
was set—namely, a modern day Lintner paper. Dr. Lintner’s work            fine work, it survived the ultimate litmus test through the historic
concerning the role of managed futures in a portfolio is considered       financial meltdown of 2008. Managed futures have been one of
a classic.                                                                the very few bright spots for investments (both alternative and
                                                                          traditional) during this recent crisis in the economy.
The famous quote by Sir Isaac Newton, “If I have seen further it
is only by standing on the shoulders of giants,” is in some sense an      Indeed, one might argue that Dr. Lintner saved his very best work
understatement for our particular case as Dr. Lintner laid out the        for last.
entire road map.

It is remarkable just how solid Dr. Lintner’s argument has
remained through the test of time. The inclusion of managed
futures in an institutional portfolio leads to better risk-adjusted
performance (either through the mean-variance framework,
or through the more modern Omega analysis). The results are
so compelling that the board of any institution, along with the
portfolio manager, should be forced to articulate in writing their
justification in not having an allocation to the liquid alpha space of
managed futures.




Acknowledgements
The authors would like to thank Aleks Kins, Dr. Edgar Lobachevskiy, Charley Penna, and Dennis Zarr.


To contact the authors:
     Ryan Abrams                                      Ranjan Bhaduri                                Elizabeth Flores
     rabrams@warf.org                                 rbhaduri@alphametrix.com                      elizabeth.flores@cmegroup.com



For more information on Managed Futures or CME Group contact:
     David Lerman                                     Randy Warsager
     Senior Director, CD&S,                           Senior Director, CD&S, Hedge Funds
     Asset Managers                                   randy.warsager@cmegroup.com
     david.lerman@cmegroup.com                        212-299-2352
     312-648-3721




34    Past performance is not necessarily indicative of future results.
A Quantitative Analysis of Managed Futures in an Institutional Portfolio




REFERENCES

1.	   Bhaduri, Ranjan and Bryon Kaneshige. “Risk Management – Taming the Tail.”
      Benefits and Pensions Monitor, December 2005.

2.	 Bhaduri, Ranjan and Christopher Art. “Liquidity Buckets, Liquidity Indices, Liquidity Duration, and their Applications to Hedge
    Funds.” Alternative Investment Quarterly, Second Quarter, 2008.

3.	 Bhaduri, Ranjan, Gunter Meissner and James Youn. “Hedging Liquidity Risk.”
    Journal of Alternative Investments, Winter 2007.

4.	 Bhaduri, Ranjan and Niall Whelan. “The Value of Liquidity” Wilmott Magazine, January 2008.

5.	 Burghardt, Galen et.al. “Correlations and Holding Periods: The research basis for the AlternativeEdge Short-Term Traders Index”.
    AlternativeEdge Research Note. Newedge Group, June 9, 2008.

6.	 Center for International Securities and Derivatives Markets (CISDM). “The Benefits of Managed Futures: 2006 Update.” Isenberg
    School of Management, University of Massachusetts, 2006.

7.	   Fischer, Michael S. and Jacob Bunge. “The Trouble with Trend Following.”
      Hedgeworld’s InsideEdge. November 20, 2007.

8.	 Keating, Con and William F. Shadwick. “A Universal Performance Measure.”
    The Finance Development Centre, 2002.

9.	 Lintner, John. “The Potential Role of Managed Commodity-Financial Futures Accounts (and/or Funds) in Portfolios of Stocks and
    Bonds.” The Handbook of Managed Futures: Performance, Evaluation & Analysis. Ed. Peters, Carl C. and Ben Warwick. McGraw-
    Hill Professional, 1996. 99-137.

10.	 Ramsey, Neil and Aleks Kins. “Managed Futures: Capturing Liquid, Transparent, Uncorrelated Alpha.” The Capital Guide to
     Alternative Investment. ISI Publications, 2004. 129-135.



*All charts, graphs, statistics, and calculations were generated using data from Bloomberg, the Barclays Capital Alternative Investment
Database, LPX GmbH, and Manager Reported Returns.




                                                                          Past performance is not necessarily indicative of future results.   35
Lintner Revisited Quantitative Analysis (2)
Data sources: CME Group unless otherwise noted
IMPORTANT DISCLAIMER

This document and the information contained herein is purely for discussion purposes only and intended for educational use. The information may be subject to verification or amendment; no
representation or warranty is made, whether expressed or implied, as to the accuracy or completeness of the information provided. It is strongly recommended that an investment in Pooled Vehicles
or Separately Managed Accounts be made only after consultation with a prospective investor’s financial, legal and tax advisors. This document does not constitute legal, tax, investment or any other
advice, and should not be construed as such. Depending on the applicable jurisdiction, investing in Pooled Vehicles or Separately Managed Accounts may be restricted to persons meeting applicable
suitability requirements or designations, such as Accredited Investor, Qualified Eligible Person, or Qualified Purchaser.

PAST PERFORMANCE IS NOT NECESSARILY INDICATIVE OF FUTURE RESULTS. An investor in a Pooled Vehicle may lose all or substantially all of its investment. An investor in a Separately Managed
Account may lose all, substantially all, or more than all of its investment.

This information is neither an offer to sell nor a solicitation of any offer to buy any interest in a financial instrument or participate in any trading strategy. Any such offer, if made, would be made only
by way of the Confidential Offering Memorandum and associated disclosure documents, and only in jurisdictions in which such an offer would be lawful. Any decision to invest should be made only
on the basis of consideration of all of the Confidential Offering Memorandums and associated disclosure documents. Such Confidential Offering Memorandum and associated disclosure documents
contain important information concerning risk factors and other material aspects of such financial instrument or trading strategy and must be read carefully before a decision to invest is made. This
information must be accompanied by or preceded by the Confidential Offering Memorandum and associated disclosure documents.

Any person making an investment in a Pooled Vehicle or Separately Managed Account must meet the applicable suitability requirements and must be able to bear the risks involved. A Pooled Vehicle
or Separately Managed Account may not be suitable for certain investors and an investment in a Pooled Vehicle or Separately Managed Accounts will not constitute a complete investment program.
No assurance can be given that a Pooled Vehicle’s or Separately Managed Account’s investment objective will be achieved. Among the risks of Pooled Vehicles and Separately Managed Accounts are
the following:

•	 Pooled Vehicles and Separately Managed Accounts are speculative and involve a substantial risk of loss.

•	 Performance of Pooled Vehicles and Separately Managed Accounts may be volatile.

•	 Redemptions from Pooled Vehicles may be made only infrequently and only if an investor provides prior written notice of its desire to redeem well in advance of the intended redemption date. The 		
   assets held in a Separately Managed Account are subject to suspension and other events associated with the exchange(s) on which they are traded. As a result, an investor in a Separately Managed
   Account may be unable to redeem some or all of its investment in the event of a suspension.

•	 Pooled Vehicles and Separately Managed Accounts may be highly illiquid.

•	 There is no secondary market for the units in a Pooled Vehicle or Separately Managed Account and none is expected to develop.

•	 There are restrictions on transferring units in Pooled Vehicles.

•	 A Pooled Vehicle’s fees and expenses and Separately Managed Account’s fees and expenses are significant. Trading profits must be greater than such fees and expenses to avoid loss of capital.

•	 An investor in a Pooled Vehicle or Separately Managed Account may not be entitled to periodic pricing or valuation information with respect to their individual investments.

•	 There may involve complex tax structures and delays in distributing important tax information.

•	 Pooled Vehicles and Separately Managed Accounts are not subject to the same regulatory requirements as U.S. mutual funds.

•	 Trades executed for Pooled Vehicle or Separately Managed Account will take place on non-U.S. and/or U.S markets.

•	 Pooled Vehicles and Separately Managed Accounts may be subject to conflicts of interest.

An investment in a Pooled Vehicle or Separately Managed Account involves risk, including the risk of losing all or substantially all of your investment in Pooled Vehicle or Separately Managed Account, or
more than all of your investment in a Separately Managed Account. The information set forth in this document has not been independently verified for accuracy or completeness. These materials and the
presentations of which they may be a part of, and the summaries contained herein, do not purport to be complete, and are qualified in their entirety by reference to the more detailed discussion contained
in Confidential Offering Memorandums and associated disclosure documents.

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Copyright © 2012 CME Group. All rights reserved.
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Lintner Revisited Quantitative Analysis (2)

  • 1. RISK DISCLOSURE STATEMENT TRADING FUTURES AND OPTIONS INVOLVES SUBSTANTIAL RISK OF LOSS AND IS NOT SUITABLE FOR ALL INVESTORS. THERE ARE NO GUARANTEES OF PROFIT NO MATTER WHO IS MANAGING YOUR MONEY. PAST PERFORMANCE IS NOT NECESSARILY INDICATIVE OF FUTURE RESULTS. THE RISK OF LOSS IN TRADING COMMODITY INTERESTS CAN BE SUBSTANTIAL. YOU SHOULD THEREFORE CAREFULLY CONSIDER WHETHER SUCH TRADING IS SUITABLE FOR YOU IN LIGHT OF YOUR FINANCIAL CONDITION. IN CONSIDERING WHETHER TO TRADE OR TO AUTHORIZE SOMEONE ELSE TO TRADE FOR YOU, YOU SHOULD BE AWARE OF THE FOLLOWING: IF YOU PURCHASE A COMMODITY OPTION YOU MAY SUSTAIN A TOTAL LOSS OF THE PREMIUM AND OF ALL TRANSACTION COSTS. IF YOU PURCHASE OR SELL A COMMODITY FUTURES CONTRACT OR SELL A COMMODITY OPTION YOU MAY SUSTAIN A TOTAL LOSS OF THE INITIAL MARGIN FUNDS OR SECURITY DEPOSIT AND ANY ADDITIONAL FUNDS THAT YOU DEPOSIT WITH YOUR BROKER TO ESTABLISH OR MAINTAIN YOUR POSITION. IF THE MARKET MOVES AGAINST YOUR POSITION, YOU MAY BE CALLED UPON BY YOUR BROKER TO DEPOSIT A SUBSTANTIAL AMOUNT OF ADDITIONAL MARGIN FUNDS, ON SHORT NOTICE, IN ORDER TO MAINTAIN YOUR POSITION. IF YOU DO NOT PROVIDE THE REQUESTED FUNDS WITHIN THE PRESCRIBED TIME, YOUR POSITION MAY BE LIQUIDATED AT A LOSS, AND YOU WILL BE LIABLE FOR ANY RESULTING DEFICIT IN YOUR ACCOUNT. UNDER CERTAIN MARKET CONDITIONS, YOU MAY FIND IT DIFFICULT OR IMPOSSIBLE TO LIQUIDATE A POSITION. THIS CAN OCCUR, FOR EXAMPLE, WHEN THE MARKET MAKES A ‘‘LIMIT MOVE.’’ THE PLACEMENT OF CONTINGENT ORDERS BY YOU OR YOUR TRADING ADVISOR, SUCH AS A ‘‘STOP- LOSS’’ OR ‘‘STOP-LIMIT’’ ORDER, WILL NOT NECESSARILY LIMIT YOUR LOSSES TO THE INTENDED AMOUNTS, SINCE MARKET CONDITIONS MAY MAKE IT IMPOSSIBLE TO EXECUTE SUCH ORDERS. A ‘‘SPREAD’’ POSITION MAY NOT BE LESS RISKY THAN A SIMPLE ‘‘LONG’’ OR ‘‘SHORT’’ POSITION. THE HIGH DEGREE OF LEVERAGE THAT IS OFTEN OBTAINABLE IN COMMODITY INTEREST TRADING CAN WORK AGAINST YOU AS WELL AS FOR YOU. THE USE OF LEVERAGE CAN LEAD TO LARGE LOSSES AS WELL AS GAINS. IN SOME CASES, MANAGED COMMODITY ACCOUNTS ARE SUBJECT TO SUBSTANTIAL CHARGES FOR MANAGEMENT AND ADVISORY FEES. IT MAY BE NECESSARY FOR THOSE ACCOUNTS THAT ARE SUBJECT TO THESE CHARGES TO MAKE SUBSTANTIAL TRADING PROFITS TO AVOID DEPLETION OR EXHAUSTION OF THEIR ASSETS. THE CTA DISCLOSURE DOCUMENT CONTAINS A COMPLETE DESCRIPTION OF THE PRINCIPAL RISK FACTORS AND EACH FEE TO BE CHARGED TO YOUR ACCOUNT BY THE COMMODITY TRADING ADVISOR (“CTA”). A COMPLETE DISCUSSION OF FEES AND CHARGES ARE REPORTED IN THE CTA's DISCLOSURE DOCUMENT. SPECIFICALLY, ONE SHOULD RECOGNIZE THAT AN INTRODUCING BROKER MAY CHARGE A FRONT-END START UP FEE OF UP TO 6% OF THE INITIAL CONTRIBUTION. PLEASE NOTE THAT THIS CHARGE IS NOT REFLECTED IN THE PERFORMANCE OF THE COMMODITY TRADING ADVISOR AND COULD HAVE A SIGNIFICANT IMPACT ON THE CUSTOMERS ABILITY TO ACHIEVE SIMILAR RETURNS. MANAGED FUTURES MAY NOT NECESSARILY BE PROFITABLE UNDER ALL MARKET CONDITIONS AND ALSO MAY NOT NECESSARILY REDUCE VOLATILITY.  
  • 2. LINTNER REVISITED A Quantitative Analysis of Managed Futures May 2012 Ryan Abrams Ranjan Bhaduri, PhD, CFA, CAIA Elizabeth Flores, CAIA Senior Investment Analyst Chief Research Officer and Executive Director, Client Wisconsin Alumni Research Head of Product Development Development & Sales – Foundation AlphaMetrix Alternative Asset Managers Investment Advisors, LLC CME Group
  • 3. As the world’s leading and most diverse derivatives marketplace, CME Group (www.cmegroup.com) is where the world comes to manage risk. CME Group exchanges offer the widest range of global benchmark products across all major asset classes, including futures and options based on interest rates, equity indexes, foreign exchange, energy, agricultural commodities, metals, weather and real estate. CME Group brings buyers and sellers together through its CME Globex electronic trading platform and its trading facilities in New York and Chicago. CME Group also operates CME Clearing, one of the largest central counterparty clearing services in the world, which provides clearing and settlement services for exchange-traded contracts, as well as for over-the-counter derivatives transactions through CME ClearPort. These products and services ensure that businesses everywhere can substantially mitigate counterparty credit risk in both listed and over-the-counter derivatives markets. ABSTRACT: Managed futures comprise a wide array of liquid, transparent alpha strategies which offer institutional investors a number of benefits. These include cash efficiency, intuitive risk management, and a proclivity toward strong performance in market environments that tend to be difficult for other investments. This paper revisits Dr. John Lintner’s classic 1983 paper, “The Potential Role of Managed Commodity-Financial Futures Accounts (and/or Funds) in Portfolios of Stocks and Bonds,” which explored the substantial diversification benefits that accrue when managed futures are added to institutional portfolios. As Dr. Lintner did, it analyzes the portfolio benefits that managed futures offer through the mean-variance framework, but it draws on more complete techniques such as the analysis of omega functions to assess portfolio contribution. The paper also conducts a comparative qualitative and quantitative analysis of the risk and return opportunities of managed futures relative to other investments, and includes a discussion as to why managed futures strategies tend to perform well in conditions that are not conducive to other investment strategies. It provides an overview of the diversity of investment styles within managed futures, dispelling the commonly held notion that all CTAs employ trend following strategies. Finally, it highlights the opportunities the space offers to pension plan sponsors, endowments and foundations seeking to create well-diversified, liquid, transparent, alpha generating portfolios. Dedicated to the late Dr. John Lintner
  • 4. TABLE OF CONTENTS 2 Introduction 3 Revisiting Lintner 4 Managed Futures – Some Basic Properties 6 Growth of Futures Markets and Managed Futures 7 Manager Style and Selection 11 Managed Futures Risk, Return, and the Potential for Enhanced Diversification 12 Risk and Return: Omega – A Better Approach 15 Hidden Risk: The Importance of Liquidity, Transparency and Custody 17 The Lack of Correlation and Potential for Portfolio Diversification 22 Managed Futures and Performance during Financial Market Dislocations 30 Benefits to Institutional Investors 32 Conclusion 34 Conclusion in Context of Lintner 35 References
  • 5. cmegroup.com INTRODUCTION Managed futures comprise a diverse collection of active hedge This paper also gives a brief treatment of risk management and fund trading strategies which specialize in liquid, transparent, the importance of liquidity. From there, we analyze historical exchange-traded futures markets and deep foreign exchange correlations among managed futures, traditional investments, markets. Some of the approaches taken by managed futures and other alternative investment strategies, demonstrating the managers exploit the sustained capital flows across asset classes diversification benefits that may be reaped from the introduction that typically take place as markets move back into equilibrium of managed futures’ uncorrelated variance into traditional after prolonged imbalances. Others thrive on the volatility and portfolios and blended portfolios of traditional and alternative choppy price action which tend to accompany these flows. Others investments. We explore the proclivity of managed futures do not exhibit sensitivity to highly volatile market environments strategies toward strong performance during market dislocations and appear to generate returns independent of the prevailing due to their tendency to exploit the massive flows of capital to or economic or volatility regime. This explains in part why managed from quality that tend to coincide with these events. Although futures often outperform traditional long-only investments and managed futures have often produced outstanding returns during most alternative investment and hedge fund strategies during dislocation and crisis events, it must be emphasized that managed market dislocations and macro events. futures are not and should not be viewed as a portfolio hedge, but rather as a source of liquid transparent return that is typically not This paper endeavors to re-introduce managed futures as a liquid, correlated to traditional or other alternative investments. transparent hedge fund sub-style which actively trades a diversified mix of global futures markets and attempts to dispel some of the Finally, we conclude with a discussion of some of the unique more common misconceptions many institutional investors hold benefits offered to pension plan sponsors, endowments and regarding the space. We discuss the likely effects and implications foundations, namely, the ability to use notional funding to of the proliferation of futures markets and managed futures assets efficiently fund exposure to managed futures, diminish the risks under management on the performance and capacity of trading associated with asset-liability mismatches, and capitalize on managers. We also address trading manager selection and style, favorable tax treatment. We also close the loop in relation to how and differentiate among the myriad unique trading strategies Lintner’s insights on the role of managed futures in an institutional which currently encompass managed futures. An assessment portfolio have held up after nearly 30 years. of the performance and risk characteristics of managed futures relative to traditional investments and other alternatives is conducted, including a critique of the mean-variance framework in which many practitioners and investment professionals analyze performance and risk. The Omega performance measure is offered as an alternative to traditional mean-variance ratios since it accounts for the non-Gaussian nature of the distributions typically encountered in finance; the Omega function was invented by mathematicians in 2002, and thus was not available to Lintner. 2 Past performance is not necessarily indicative of future results.
  • 6. A Quantitative Analysis of Managed Futures in an Institutional Portfolio REVISITING LINTNER The late Dr. John Lintner (1916 – 1983), a Harvard University Finally, all the above conclusions continue to hold when returns are Professor, had an illustrious and prolific career, including measured in real as well as in nominal terms, and also when returns recognition as one of the co-creators of the Capital Asset Pricing are adjusted for the risk-free rate on Treasury bills.” [Lintner, pages Model (CAPM). Lintner also published a classic paper entitled 105-106] “The Potential Role of Managed Commodity-Financial Futures Sadly, Lintner died shortly after presenting his treatise on the role Accounts (and/or Funds) in Portfolios of Stocks and Bonds,” of managed futures in institutional portfolios. which he presented in May 1983 at the Annual Conference of the Financial Analysts Federation in Toronto. Lintner found the The objectives of this paper are not at all modest, namely, to risk-adjusted return of a portfolio of managed futures to be higher furnish a modern-day Lintner paper, and also to dispel some than that of a traditional portfolio consisting of stocks and bonds. common myths regarding managed futures. While Lintner’s study The Lintner study also found that portfolios of stocks and/or bonds has been applauded by scholars and practitioners who have read combined with managed futures showed substantially less risk at it, there still seems to be a gap and disconnect between many every possible level of expected return than portfolios of stocks institutional investors and the managed futures space. Is this and/or bonds alone. The following passage from Lintner’s scholarly because through the passage of time the kernel of Lintner’s findings work furnishes good insight on his findings: is no longer true? Or have some institutional investors simply not performed their fiduciary duty in a completely satisfactory “Indeed, the improvements from holding efficiently selected portfolios manner? of managed accounts or funds are so large – and the correlations between the returns on the futures portfolios and those on the stock and Updating the Lintner paper will help to supply the answer to bond portfolios are surprisingly low (sometimes even negative) – that this question. In order to do this properly, it is best to lay the the return/risk trade-offs provided by augmented portfolios consisting framework of what managed futures are in terms of the current partly of funds invested with appropriate groups of futures managers landscape before exploring the impact of adding them to (or funds) combined with funds invested in portfolios of stocks alone (or traditional portfolios. in mixed portfolios of stocks and bonds), clearly dominate the trade-offs available from portfolios of stocks alone (or from portfolios of stocks and bonds). Moreover, they do so by very considerable margins. The combined portfolios of stocks (or stocks and bonds) after including judicious investments in appropriately selected sub-portfolios of investments in managed futures accounts (or funds) show substantially less risk at every possible level of expected return than portfolios of stock (or stocks and bonds) alone. This is the essence of the “potential role” of managed futures accounts (or funds) as a supplement to stock and bond portfolios suggested in the title of this paper. Past performance is not necessarily indicative of future results. 3
  • 7. cmegroup.com MANAGED FUTURES – SOME BASIC PROPERTIES A discussion of managed futures performance, particularly during Managed futures traders are commonly referred to as “Commodity periods of market dislocation, may be more illuminating if preceded Trading Advisors” or “CTAs,” a designation which refers to a by a brief discussion of what managed futures are and are not. As manager’s registration status with the Commodity Futures Trading previously mentioned, managed futures encompass a variety of Commission and National Futures Association. CTAs may trade active trading strategies which specialize in liquid, transparent, financial and foreign exchange futures, so the Commodity Trading exchange-traded futures, options, and foreign exchange, and may Advisor registration is somewhat of a misnomer since CTAs are be thought of as a liquid, transparent hedge fund strategy. Like not restricted to trading only commodity futures. The highly long/short equity and equity market neutral hedge fund strategies, diversified and global nature of the markets included in most managed futures strategies may take long and short positions in managed futures programs makes the selection of a passive long- the markets they trade, are available only to qualified investors, only index for analysis of value added through active management and may employ leverage. An important difference, however, extremely difficult since many CTAs trade portfolios of futures is that equity hedge fund leverage requires borrowing funds at contracts which span across all asset classes. The name Commodity a rate above LIBOR, whereas managed futures investing allows Trading Advisor also results in the common mistake of using for the efficient use of cash made possible by the low margin passive long-only commodity indices, such as the Goldman Sachs requirements of futures contracts. Rather than allowing cash not Commodity Index (GSCI), DJ AIG Commodity Index (DJ AIG), being used for margin to collect interest at the investor’s futures and Rogers International Commodity Index (RICI) as performance commission merchant (FCM), the investor can deploy it to gain a benchmarks. These indices are not appropriate because they include higher notional exposure when investing using a managed account. only a small fraction of the futures markets most CTAs trade, Consequently, the investor is not paying interest, since they did and do not account for active management or the ability to take not need to borrow money to get the extra exposure. The following short as well as long positions, all of which should result in lack of example helps to highlight this important point. correlation over time. Example: A pension plan sponsor has $50 million (USD), and Active management and the ability to take long and short positions wishes to get $50 million exposure in a managed futures strategy are key features that differentiate managed futures strategies that allows for a funding factor of two. The investor then only needs not only from passive long-only commodity indices, but from to invest $25 million to the managed futures strategy and may put traditional investments as well. Although most CTAs trade equity the other $25 million in Treasury bills to receive interest. index, fixed income, and foreign exchange futures, their returns should be uncorrelated and unrelated to the returns of these asset Another critical difference between futures and equities is that classes because most managers are not simply taking on systematic there are no barriers to short selling in futures. Since two parties exposure to an asset class, or beta, but are attempting to add alpha agree to enter into a contract, there is no need to borrow shares, pay through active management and the freedom to enter short or dividends, or incur other costs associated with entering into equity spread positions, which can result in totally different return profiles short sales. Thus, in that sense, it is easier to invoke a long-short than the long-only passive indices. strategy via futures than it is using equities. 4 Past performance is not necessarily indicative of future results.
  • 8. A Quantitative Analysis of Managed Futures in an Institutional Portfolio Not all managed futures managers are trend followers. Many The existence of these risk premia is consistent with futures prices’ of the earliest and most successful futures traders employed role as biased predictors of expected spot prices. The futures price trend following strategies, as do some of the largest CTAs today, equals the discounted present value of the expected spot price which might help to explain the prevalence of this overly casual plus a risk premium, which can be positive or negative depending generalization. Trend following may be the most common on the skewness or bias of distribution of expected spot prices. managed futures strategy, but it certainly is not the only one. The If all financial assets, including futures contracts, have a zero net myriad other approaches to futures trading offer institutional present value (NPV), then: investors access to a variety of sources of return, including trend following, which are uncorrelated to traditional and alternative E(ST) = Fe(μ -r)T s investments, and oftentimes, to one another. These include discretionary fundamental or global macro managers who express where T represents the delivery date, E(ST) the expected spot their views using futures, short-term traders whose strategies vary price, F the futures price, and (μs-r) the risk premium, the sign of tremendously, chartists who scan the markets for patterns, and which depends on whether or not the risk premium is positive or contrarian traders. The wide availability of clean data has also negative. Equity index futures, for example, tend to be downward- converted academics, researchers, and scientists to trading. These biased predictors of expected spot prices since the natural risk individuals apply advanced quantitative techniques to the markets in equities markets is to the downside. CTAs offer liquidity to that go beyond basic rules-based systems to forecast the direction in hedgers in order to capture positive risk premia (CISDM 2006, 4). price or changes in volatility. Managed futures programs that rely It is also important to account for transactions, storage, and other on strategies other than trend following are becoming a larger and costs which may affect futures prices. more important part of the space. Another common misconception about managed futures strategies is that they are a zero sum game. This would be the case if CTAs were trading exclusively against other CTAs, but academics and practitioners have demonstrated that some futures markets participants are willing to hedge positions, or buy or sell forward even if they expect spot prices to rise or fall in their favor (CISDM 2006, 4). Past performance is not necessarily indicative of future results. 5
  • 9. cmegroup.com GROWTH OF FUTURES MARKETS AND MANAGED FUTURES The growth in open interest in futures markets has led to a substantial growth in managed futures assets under management. Electronic exchanges and technology have also contributed to the scalability and capacity of managed futures. EXHIBIT 1: Managed Futures Growth in Assets Under Management 1980-2011 Source: AlphaMetrix Alternative Investment Advisors, BarclayHedge Alternative Investment Database The substantial influx of assets into the futures markets in the It has also augmented the capacity of the more sectarian or form of passive long-only money in commodity markets as well as niche strategies and large diversified trend followers alike. the explosion of assets under management for active traders has The proliferation of passive long-only indices has created new had numerous important implications for CTAs. The tremendous opportunities and risks for CTAs as exchange traded funds and increase in open interest has resulted in increased depth and notes attempt to roll massive numbers of contracts each month. liquidity in many markets, allowing managers to add previously Fundamental discretionary traders, for instance, must incorporate inaccessible markets to their domain of traded instruments. the augmented interest from the long side when making trading decisions. 6 Past performance is not necessarily indicative of future results.
  • 10. A Quantitative Analysis of Managed Futures in an Institutional Portfolio MANAGER STYLE AND SELECTION As previously mentioned, most observers associate managed Although certain voices in the investment management futures closely with trend following strategies. The liquidity community have heralded the death of trend following many times of futures contracts and copious amounts of available data, over the years, there is a high probability of generating strong however, facilitate the application of numerous other variations returns over sufficiently long rolling time periods, 36 months of quantitative systematic trading strategies to these instruments or more, for instance. The “long volatility” profile associated and the time series associated with them. The influence of with most CTAs and trend followers in particular often means fundamental economic variables on commodities and futures that returns are lumpy and a given manager’s performance will markets provides opportunities for niche sector and market usually depend on a few large positive months. As such, it may specialists to trade programs which generate returns that are often take some time to draw from this right tail of the distribution of uncorrelated to most trend following programs. returns, and the likely interim outcome is flat lining or entering a drawdown as the program searches for opportunities in the A useful analogy for the different managed futures trading markets it trades. Those who do not hold these investments over programs and styles, as well as for alternative investments sufficiently long time horizons will typically experience frustration in general, consists of thinking of the various trading styles or and disappointment since the events that drive performance, programs as radio receivers, each of which tunes into a different typically massive flights of capital to or from quality, only take market frequency. Simply put, some strategies or styles tend to place occasionally. perform better or “tune in” to different market environments. Exhibit 2, on the following page, illustrates the maximum, Trend Following minimum and mean rolling return of the Barclays Capital BTOP 50 Trend following has demonstrated performance persistence over Index over different holding periods since January 1987. Each blue the more than 30 years since the first “turtle” strategies began bar represents the range of all rolling returns for that number of trading, and roughly 70 percent of CTA strategies belong to this months over the life of the index. For example, the bar furthest to managed futures strategy sub-style. Trend following is dominated the left represents all 3-month rolling returns since the inception by momentum and/or breakout strategies, both of which attempt of the BTOP 50 Index. The minimum, depicted by the green dot, to capture large directional moves across diversified portfolios shows the worst 3-month rolling return in the distribution. The of markets. It also tends to be diversified across time frames, orange square indicates the mean, and the blue triangle shows the although some trend followers may be exclusively long-term best 3-month rolling return in the distribution for this particular (multiple months) or very short-term (days, hours, or minutes). example. Subtle differences in risk budgeting across markets, time horizons, and parameter selection may result in trend following programs which yield vastly different performance statistics and/or exhibit non-correlation to one another. Even within the trend-following space, there can be large differences between managers; these differences range from multi-billion dollar institutional quality firms employing an array of sophisticated and diversified techniques, to small shops trading with discretion. Past performance is not necessarily indicative of future results. 7
  • 11. cmegroup.com EXHIBIT 2: Maximum, Minimum, and Mean Rolling Return of Barclays Capital BTOP 50 Index Over Different Holding Periods Source: AlphaMetrix Alternative Investment Advisors, Bloomberg The conclusion readers should draw from the graph is that the Managers rarely make material changes to their strategies or possibility of making money increases dramatically if the investor models for this same reason, especially during drawdowns, since maintains the allocation to managed futures three to five years. this would be tantamount to redeeming in the same way as in the example. Initial research and testing are critical, however, to ensure During periods of flat or underperformance, the trend follower robustness and performance persistence, as are ongoing efforts to stops out of or exits stale positions and begins to put on new ones refine the program and ensure it evolves with markets over time. for which the profit expectation is greatest. This often results in a Evolution and research have always been essential to successful mean-reversion or “rubber band” effect which manifests itself as trend followers, and any perceived “shifts” typically involve a sudden burst of positive performance after an extended drought incremental improvements or innovations designed to enhance of opportunities during which the program’s money management the program rather than depart from it materially (Fischer and system strived to preserve capital. Experienced investors often Bunge 2007, 2). choose to add to trend followers in a drawdown in anticipation of this effect. Likewise, inexperienced or impatient investors all too often redeem at the bottom of a manager’s drawdown, only to witness the surge in performance shortly thereafter. 8 Past performance is not necessarily indicative of future results.
  • 12. A Quantitative Analysis of Managed Futures in an Institutional Portfolio Other Managed Futures Strategies Managed Futures Equal Black Box Trading? Although the majority of quantitative CTAs employ some variation The quantitative nature of many managed futures strategies makes of trend following strategies, other managed futures quantitative it easy for casual observers to mistakenly categorize them as black strategies abound, many of which exhibit no statistical relationship box trading systems. “The irony is that most CTAs will provide whatsoever with trend following programs. Counter-trend strategies uncommonly high levels of transparency relative to other alternative attempt to capitalize on the often rapid and dramatic reversals that investment strategies” (Ramsey and Kins 2004, 131). Ramsey and take place at the end of trends. Some quantitative traders employ Kins suggest that CTAs will describe their trading models and econometric analysis of fundamental factors to develop trading risk management in substantial detail during the course of due systems. Others use advanced quantitative techniques such as diligence, “short of revealing their actual algorithms” (Ramsey and signal processing, neural networks, genetic algorithms, and other Kins 2004, 131). CTAs are also typically willing to share substantial methods borrowed and applied from the sciences. Recent advances position transparency with fund investors, and the real-time, full in computing power and technology as well as the increased transparency of positions and custody of cash and instruments made availability of data have resulted in the proliferation of short-term possible by investments via separately managed accounts. “As such, trading strategies. These employ statistical pattern recognition, it is difficult to call CTAs black box considering they disclose their market psychology, and other techniques designed to exploit methodology and provide full position transparency so that investors persistent biases in high frequency data. Toward the end of 2008, can verify adherence to that methodology” (Ramsey and Kins 2004, short-term strategies were in high demand among fund of funds 131). and institutional investors searching for sources of return which appeared to be statistically independent from the factors driving performance across both the traditional and alternative investments universes. The very short holding periods of short-term traders allow them to rapidly adapt to prevailing market conditions, making it easy for them to generate returns during periods which are difficult for traditional and alternative investments. The countless combinations and permutations of portfolio holdings that these trading managers may hold over a limited period of time also tend to result in returns that are not correlated to any other investment, including other short-term traders. Past performance is not necessarily indicative of future results. 9
  • 13. cmegroup.com Furthermore, any systematic or algorithmic trading system has Manager Selection a large human element. Namely, in the coding of this system, Peer analysis is often complicated by the blending of managed several decisions were made concerning the techniques invoked. futures sub-styles or other subtle differences that frustrate What limits should be used? Should there be a component of the creation of peer groups of managers. The exception tends optimization? There are countless questions and decisions that to be the rule. It might be difficult to categorize an eclectic go into the codification of a systematic trading program that manager who combines a price-based model with fundamental are qualitative in nature – after all, the coding and creation was analysis to discretionarily arrive at trading decisions, or a grain done by humans! Those who are not quantitatively minded often trader whose returns are 0.9 correlated with a number of trend completely overlook this fact. There are both pros and cons followers. It is possible to overcome these hurdles, however, by in systematic trading, as well as in discretionary trading, thus taking a quantitative approach to peer analysis. Managers whose discriminating purely on the basis of systematic or discretionary returns are correlated likely have similar risk factors or exposures is not warranted; indeed many managed futures programs are a embedded in their programs or trading styles. Creating peer hybrid of both. groups of highly correlated managers simplifies the basis for comparison across metrics of interest, and facilitates the analysis Discretionary Trading of programs which have historically tended to perform similarly in Not all CTAs employ quantitative or systematic trading different market environments. The implications of quantitative approaches. In fact, some of the most unique alternative peer group analysis of this sort for manager selection are obvious. investment programs consist of discretionary CTAs and niche sector or market specialists. Like their systematic counterparts, The importance of manager selection varies somewhat depending discretionary CTAs may use fundamental and technical inputs upon the objectives of the managed futures investor. Ramsey to make trading decisions and may trade one or many markets and Kins suggest that “an investment with large CTAs should across a continuous domain of time horizons. Some discretionary focus on picking the very best managers with less thought of CTAs do analyze chart patterns or other technical indicators, but diversification,” given their methodological similarities and many discretionary CTAs employ fundamental analysis of supply tendency to highly correlate to one another (Ramsey and Kins and demand as the basis for their programs. The most successful 2004, 134). Selection among large, diversified trend followers discretionary traders tend to have clearly defined, well-articulated is more important, but blending two or more of these managers risk management coupled with unique experience and background typically enables investors to enjoy some of the benefits of relevant to the market or markets they trade. The fact that most diversification. The question of selection becomes less important discretionary managers have the flexibility to trade in a completely for investors seeking to capture the benefits of smaller, “emerging” opportunistic fashion often results in returns which tend to be CTAs. Ramsey and Kins recommend a “strategy of employing uncorrelated to trend following, managed futures and other hedge a large cross sample of these CTAs in order to reduce business fund styles, as well as passive long-only commodity indices. risk and take advantage of the ability to diversify across trading methodologies and markets.” (Ramsey and Kins 2004, 134) 10 Past performance is not necessarily indicative of future results.
  • 14. A Quantitative Analysis of Managed Futures in an Institutional Portfolio MANAGED FUTURES RISK, RETURN, AND THE POTENTIAL FOR ENHANCED DIVERSIFICATION The exploitation of trends or other price behaviors that tend to Since then, the importance of alternative investments to accompany large macro dislocations or events by CTAs produces institutional investors as sources of absolute return and portfolio both a positive return expectation and uncorrelated variance, diversification has grown tremendously, especially over the making them additive to most portfolios. Although CTAs tend last decade. Managed futures strategies should continue to to have high volatility and lower Sharpe ratios relative to other play a prominent role in the increasingly important alternative alternative investments, the addition of an uncorrelated element portion of institutional portfolios, due not only to their role in which often contributes positive gamma, enhances the return and dampening portfolio variance, but also their ability to improve decreases the variance of most portfolios. (It is important to recall other important performance statistics, including semideviation, that this volatility comes from large, infrequent positive returns drawdown, skewness, kurtosis and the Omega performance and that the Sharpe ratio is flawed as a measure of risk-adjusted measure, which incorporates all of the information embedded in performance, as we will soon demonstrate.) The fact that an the distribution of returns of an investment, as well as an investor- investment is volatile on a stand-alone basis does not necessarily determined threshold of loss. mean that it will increase the volatility of the entire portfolio. Lintner performed his analysis on mean-variance portfolios of Modern Portfolio Theory suggests that adding uncorrelated traditional and managed futures investments using stock and variance actually decreases overall portfolio variance. The addition bond indices, and two sets of managed futures account and fund of uncorrelated variance may also help investors reduce other investment returns, likely due to the paucity of managed futures important measures of risk, including drawdown, semideviation, performance data. This study employs index data exclusively, due and kurtosis in the left tail. to its wide availability, as well as to minimize selection bias. It Lintner’s paper found that the low and occasionally negative also attempts to maximize robustness and statistical validity by correlations between futures portfolios and traditional equity calculating all statistics using as many observations as possible, and fixed income portfolios enable the creation of portfolios with resulting in comparisons across heterogeneous time horizons substantially less variance at every possible level of expected when historical index data is not available. As such, the number of return relative to traditional portfolios consisting solely of observations used for calculations varies. stocks or mixtures of stocks and bonds (Lintner 1996, 105-106). He alludes to the growing interest of institutional investors in alternative investments as means to tap additional sources of uncorrelated return, pointing to real estate, venture capital investments and “diversified holdings of oil-well exploration pools” as examples before turning to managed futures (Lintner 1996, 102). Past performance is not necessarily indicative of future results. 11
  • 15. cmegroup.com RISK AND RETURN: OMEGA – A BETTER APPROACH Popular culture and the media often portray futures trading as one Moreover, from a practical point of view, there is an obvious of the riskiest and most speculative forms of investment. Several difference between upside volatility and downside volatility. intrinsic characteristics of futures contracts make them substantially The Omega function and performance measure, first presented by less risky, however, than investments in other instruments Con Keating and William Shadwick, overcome the shortcomings which have not been branded with many of the same negative of the mean-variance framework and allow investors to refer to the connotations. Most casual observers and even many experienced risk-reward characteristics of portfolios with respect to a reference practitioners attribute this volatility to the underlying instruments point or threshold other than the mean. Omega fully incorporates traded, but such a conclusion would be fallacious. the impact of all of the higher moments of the distribution Futures garnered their reputation as a risky largely due to the of returns into an intuitive performance measure that allows volatility of individual commodity markets, which many observers practitioners to assess risk and return in the context of their own closely associate with the futures markets. The volatility of the loss threshold without burdensome utility functions (Keating and passive long-only commodity indices, such as the Goldman Sachs Shadwick 2002, 2). Investors specify what they constitute as their Commodity Index (GSCI), also explains in part the perception of own loss threshold or minimum acceptable return, which serves as high risk. The nearly 20 percent annualized volatility of the GSCI, the benchmark return. The Omega function makes a probability- combined with its maximum historical drawdown of more than 60 weighted comparison of “profits” and “losses”, however defined, percent certainly justifies this perception. However, it is important relative to this investor-determined threshold. The Omega function to make a number of critical distinctions here. First, there are is defined as: substantial differences between passive long-only indices like the GSCI and actively managed trading strategies like those which b this paper highlighted earlier. “Commodities,” loosely defined, are ∫ [1-F(x)]dx Ω(r):= r also different than futures contracts, which are nothing more than r ∫ F(x)dx exchange traded instruments linked to the prices of a diversified a variety of global markets. Those assessing risk must also carefully define it. Modern Portfolio where F(x) is the cumulative distribution function for the returns, Theory equates risk with variance (or volatility as measured by bounded by the endpoints a and b, with a threshold of r (Keating standard deviation), which measures the dispersion of outcomes and Shadwick 2002, 12). Exhibit 3 illustrates the cumulative from the mean. Using volatility to measure risk, however, penalizes distribution function for an investment, along with depictions of the those outcomes which are greater than the expected, or upside threshold and profit and loss integrals. volatility. Outcomes which exceed expectations (most rational investors would not select investments for which the return Omega provides practitioners with an extremely useful tool since expectation is negative), or exceed a necessary or desired threshold, it accounts for the non-normal distributions of returns which are cannot truly be said to be risky in the sense that they do not imply commonplace in finance, particularly for alternative investments. loss or failure to meet an objective. In other words, volatility ignores Despite the apparent intuitiveness of the Sharpe ratio, the fact that the skewness and kurtosis of a manager’s distribution of returns. it ignores skewness and kurtosis and penalizes upside volatility, essentially renders it useless for investment performance analysis. Managed futures may be more volatile than long/short equity or equity market neutral hedge funds, but not necessarily more risky. Measuring risk by volatility is dangerous to do in the alternatives space since the distributions are typically non-Gaussian. 12 Past performance is not necessarily indicative of future results.
  • 16. A Quantitative Analysis of Managed Futures in an Institutional Portfolio EXHIBIT 3: Cumulative Distribution and Omega Functions y (F(X)) numerator of Ω y=1 y=0 x (returns) denominator of Ω x=r Source: Bhaduri and Kaneshige, 2005 The Omega function is a powerful tool in the risk toolbox [Bhaduri The BTOP 50 Index, HFRI Fund Weighted Composite Index, and Kaneshige, 2005]. Furthermore, the selection of a threshold and HFRI Equity Hedge Index all exhibit excess kurtosis, or “fat as the focus dovetails well with the needs of pensions. Pensions tails” in their distributions of returns as well (2.66, 2.41, and 1.76, typically take an asset-liability lens, consequently, the return they respectively), consistent with the vast majority of hedge fund seek is a function of the liabilities they face. The Omega function strategies. lends itself well to this framework since a natural threshold for a The fact that a given investment or strategy displays fat tails is pension to select is a return which will at least cover its liabilities. not as important as the location of the extreme deviations which Exhibit 4, “Statistics: Traditional and Alternative Investment cause them. Skewness describes the relative length of the tails or Benchmarks,” illustrates the shortcomings of evaluating the degree of asymmetry of a distribution of outcomes. Positive investment performance solely through the lens of mean and skewness suggests that a number of relatively large positive variance, particularly for managed futures. The Barclays Capital deviations inflate the mean of the distribution, resulting in a fat BTOP 50 returns display significantly more variance than those of right tail. Conversely, negative skewness occurs when a number of the Hedge Fund Research, Inc. (HFRI) Fund Weighted Composite relatively large negative deviations pull the mean down, resulting in Index, or the HFRI Equity Hedge (Total) Index, as measured by a fat left tail. standard deviation (10.47 percent compared to 7.08 percent and The BTOP 50 displays large positive skewness (1.00) relative to the 9.31 percent). The variance of all negative observations of the HFRI Fund Weighted Index (-0.71) and HFRI Equity Hedge Index BTOP 50 and HFRI hedge fund indices in question, however, were (-0.25). The positive skewness exhibited by most CTAs explains the comparable (semideviation of 4.76 percent versus 5.29 percent majority of the differences in variance between the BTOP 50 and and 6.20 percent), as were worst drawdowns (-13.31 percent HFRI hedge fund indices. This paper explores the reasons for excess versus -21.42 percent and -30.59 percent). kurtosis in hedge fund returns, and for differences in skewness for different hedge fund strategies, in a later section. Past performance is not necessarily indicative of future results. 13
  • 17. cmegroup.com EXHIBIT 4: Statistics: Traditional and Alternative Investment Benchmarks HFRI Fund Weighted Index DJ UBS Commodity Index HFRI Equity Hedge Index Composite Global Index Barclay BTOP 50 Index MSCI World Daily Total Barclays Capital Bond Barclays Capital Bond Newedge Short-Term S&P/Citigroup World Composite US Index Return Net (USD) LPX Buyout Index S&P 500 Total REIT TR Index Traders Index Return Index GSCI TR Annualized ROR 8.99% 11.06% 7.12% 6.41% 9.04% 6.32% 5.36% 11.23% 12.89% 5.20% 8.55% 0.89% Annualized Standard Deviation 10.47% 15.62% 15.42% 3.45% 6.30% 19.56% 15.02% 7.08% 9.31% 27.61% 16.77% 3.56% Annualized Semideviation 4.76% 11.55% 11.47% 2.26% 3.69% 13.66% 11.36% 5.29% 6.20% 19.97% 14.87% 2.17% Worst Drawdown -13.31% -50.95% -55.37% -3.63% -12.43% -67.65% -54.26% -21.42% -30.59% -80.95% -67.56% -8.28% Sharpe Ratio (Risk Free Rate = 0%) 0.86 0.71 0.46 1.86 1.44 0.32 0.36 1.59 1.38 0.19 0.51 0.25 Sortino Ratio (Risk Free Rate = 0%) 1.89 0.96 0.62 2.84 2.45 0.46 0.47 2.12 2.08 0.26 0.57 0.41 Skewness 1.00 -0.63 -0.64 -0.41 1.03 -0.21 -0.59 -0.71 -0.25 0.28 -1.26 -0.06 Excess Kurtosis 2.66 2.09 1.56 1.60 6.85 2.49 2.83 2.41 1.76 4.47 8.33 -0.10 Omega (3% Threshold) 1.60 1.53 1.42 1.85 2.18 1.23 1.20 2.29 2.17 1.20 1.40 0.67 Months 300 384 384 170 382 384 251 264 264 168 264 48 Positive Months 170 243 227 121 264 218 149 188 182 102 159 19 Negative Months 130 141 157 49 117 166 102 76 82 65 105 29 Percent Winning Months 56.67% 63.28% 59.11% 71.18% 69.11% 56.77% 59.36% 71.21% 68.94% 60.71% 60.23% 39.58% Average Month 0.76% 0.98% 0.67% 0.52% 0.74% 0.67% 0.53% 0.91% 1.05% 0.74% 0.81% 0.08% Average Positive Month 2.67% 3.58% 3.50% 1.01% 1.55% 4.31% 3.17% 1.90% 2.40% 5.19% 3.52% 1.11% Average Negative Month -1.72% -3.49% -3.42% -0.67% -1.09% -4.10% -3.32% -1.52% -1.95% -6.24% -3.31% -0.60% Modern Portfolio Theory Correlation to S&P 500 -0.04 1.00 0.88 -0.10 0.19 0.17 0.30 0.74 0.73 0.75 0.61 -0.50 Total Return R Squared 0.00 1.00 0.77 0.01 0.04 0.03 0.09 0.55 0.53 0.56 0.38 0.25 Beta -0.02 1.00 0.87 -0.02 0.08 0.21 0.30 0.34 0.44 1.24 0.68 -0.09 Alpha 0.78% 0.00% -0.17% 0.54% 0.66% 0.47% 0.29% 0.65% 0.71% 0.22% 0.29% 0.08% Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH. All statistics calculated to maximize number of observations; as such, number of observations used for calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US Index - Sep 1997, Barclays Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity Hedge Index - Jan 1990, LPX Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through Dec 2011 with the exception of the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008. 14 Past performance is not necessarily indicative of future results.
  • 18. A Quantitative Analysis of Managed Futures in an Institutional Portfolio HIDDEN RISK: THE IMPORTANCE OF LIQUIDITY, TRANSPARENCY AND CUSTODY Model risk always exists, as no model is perfect by definition. The lack of transparency and difficulty involved in pricing illiquid What is less appreciated by many in the investment community instruments magnifies model risk. Infrequent pricing of instruments is that model risk and liquidity risk are entangled. There are no obfuscates the relationships among market price and the different valuation issues with exchange-traded instruments, and model risk factors or variables used in pricing or trading models, complicating is magnified when dealing with illiquid instruments. In general, the their testing and design. Lack of transparency and illiquidity less liquid the instruments traded, the more hidden risk, and the substantially reduce the margin of error during the research and more dangerous model risk becomes. The historic 2008 financial development of trading or risk models. The losses that will ensue meltdown is a vivid example of this statement [Bhaduri and Art, in the event that models fail to account for a critical piece of 2008]. information, will be of an order of magnitude many times larger for illiquid instruments due to the relative thinness of these markets. Most managed futures programs by definition trade exclusively The seller will likely have to accept a deep discount in price to exchange-listed futures or options on futures. Settlements on exit an illiquid position, particularly during a “fire sale” or crisis all futures contracts are determined by the various exchanges event. The credit debacle of 2007-2008, for example, exposed many at the end of each trading day, compelling managers to mark hedge funds and other sophisticated investors who had invested in their books to market. Many CTAs also trade the inter-bank FX structured debt products whose models failed to incorporate many forward market, where the process of price discovery takes place of the hidden risks. The investors and portfolio managers holding 24 hours a day. It is also one of the deepest and most liquid in the these instruments suffered deep losses as they struggled to find world. These qualities enable hedge fund investors to mitigate or liquidity in thin markets, or watched other positions go to zero due completely eliminate some of the more deleterious risks associated to poor assumptions made by the rating agencies. with investing in alternatives. The liquidity of the underlying instruments traded as well as the high level of transparency Conversely, risk managers can monitor and control risk with relative available through managed account investments with CTAs ease due to the transparency and liquidity of futures contracts. facilitates tactical asset allocation. Investors and CTAs alike can Instead of relying on complex models with numerous assumptions, easily exit unprofitable positions, or positions that they expect to risk managers are free to focus on monitoring margin to equity, become unprofitable in the near future, with minimal slippage, counting contracts and testing for disaster scenarios, such as usually in a matter of minutes. correlation convergence with a multiple standard deviation shock. Transparency and constant price discovery facilitates simple, no Ironically, the liquid, transparent, marked-to-market nature of the nonsense testing and monitoring. Investing via separately managed instruments traded by liquid hedge funds may make their returns accounts, a common practice among managed futures investors, appear more volatile or risky than those of many hedge funds facilitates risk management tremendously by providing the investor trading esoteric or illiquid instruments, which trade infrequently with full transparency and in extreme cases, the ability to intervene and are therefore marked to a stale price or a model. As a result, against the trading manager by liquidating or neutralizing positions. these hedge funds often intentionally or unintentionally smooth their returns, artificially dampening their volatility and depth of their drawdowns. Past performance is not necessarily indicative of future results. 15
  • 19. cmegroup.com Hidden sources of risk that many hedge fund investors do not fully Returning to the ever-important topic of liquidity, it is worth appreciate are the structural and operational risks associated with pointing out that from a behavioral finance point of view, it is easy investing directly into a fund vehicle. Fund investments require the for investors to underestimate the value of liquidity [Bhaduri and investor to transfer money to the trading manager with an implicit Whelan, 2007]. If a hedge fund is trading illiquid instruments and guarantee that it will be returned at some future date. Wiring has a long lock-up, then simply comparing its return statistics to a money to the manager exposes the investor to the risk of fraud or CTA that is trading exchange-traded instruments and does not have theft of the investment. Managed account investments mitigate a lock-up is incorrect, since it does not assign a value to liquidity this risk by giving the manager limited power of attorney to trade [Bhaduri and Art, 2008]. Lock-ups by private equity funds and on behalf of the investor, who maintains legal custody of the cash hedge funds trading illiquid instruments cost the investor in terms and instruments at his FCM. Wiring money to a manager also of reduced flexibility, and they should be rewarded with higher exposes the investor to operational risks, and requires expensive and returns to compensate for this. There are not yet many measures time-consuming due diligence on the manager’s middle and back or instruments to deal with this problem [Bhaduri, Meissner, and office processes, as well as its service providers. Fund investments, Youn, 2007]. including those in liquid instruments, often attempt to impose lockups, gates, or onerous redemption terms on investors. Most fund documents also give the general partner the right to suspend redemptions, in effect providing the manager with a call option on the liquidity it had previously offered investors. There is no real value added by having the money housed with the manager who is being paid to try and provide an attractive risk-adjusted return over time with proper risk controls. Managers who refuse to grant managed accounts are in essence refusing to give transparency and are subjecting their clients to additional risks. 16 Past performance is not necessarily indicative of future results.
  • 20. A Quantitative Analysis of Managed Futures in an Institutional Portfolio THE LACK OF CORRELATION AND POTENTIAL FOR PORTFOLIO DIVERSIFICATION After highlighting the attractive risk and return properties of Exhibit 7 on page 20, “Correlation Matrix: Traditional and managed futures, Lintner turns to a discussion of the lack of Alternative Investment Benchmarks,” illustrates the low and correlation of managed futures with other investments. He then occasionally negative correlations between managed futures and concludes his paper by presenting evidence of the substantial other investments. The highest of these were 0.20 and 0.22 with improvements in risk and return that managed futures contribute the bond indices, and the lowest was -0.21 with the Listed Private as part of a diversified portfolio of equities and fixed income Equity (LPX) Buyout Index, suggesting that significant benefits (Lintner 1996, 105). The absence of correlation between managed would accrue to investors who added managed futures to portfolios futures, traditional investments, and other alternative investments including some or all of these investments. These correlations will creates a prominent role for this liquid, transparent hedge fund be explored in more detail later in this section. strategy in institutional portfolios. Exhibit 5 demonstrates that managed futures greatly improve The long-term correlations among equities, fixed income and the efficient frontier from a mean-variance framework. This is managed futures remain low even 25 years after Lintner’s study, congruent with the earlier findings of Lintner. suggesting a continuing relevance to investors interested in attaining the “free” benefits of diversification. Exhibit 5: Efficient Frontier: BTOP 50 Index and Traditional Portfolio of Equities and Fixed Income January 1987 – December 2011 Source: AlphaMetrix Alternative Investment Advisors, Bloomberg. Barclays Capital Bond Composite Global Index did not report returns for Sep 2008 and Oct 2008 Past performance is not necessarily indicative of future results. 17
  • 21. cmegroup.com Recall that when the Omega score drops below one, the quality The Omega graph in Exhibit 6 indicates that for low thresholds, of the investment with respect to achieving the threshold is poor. the combination of managed futures and a traditional portfolio is (For a review of Omega graphical analysis, please refer to Ranjan best, and for higher thresholds, a portfolio of managed futures is Bhaduri and Bryon Kaneshige, “Risk Management – Taming the dominant. Tail,” Benefits and Pensions Monitor, December 2005.) Studying These Omega results yield a very compelling argument for the the potential role of managed futures in traditional portfolios of inclusion of managed futures in an institutional portfolio. stocks with the Omega lens for risk-adjusted performance is taking a modern approach to the Lintner study. As stated earlier, Lintner did not have the benefit of the Omega tool during the time he conducted his work, and the Omega function encodes all the higher statistical moments and distinguishes between upside and downside volatility. EXHIBIT 6: Omega Graph: BTOP 50 Index and Traditional Portfolio of Equities and Fixed Income January 1987 – December 2011 Source: AlphaMetrix Alternative Investment Advisors, Bloomberg. The Barclays Capital Bond Composite Global Index did not report Sep 2008 and Oct 2008 18 Past performance is not necessarily indicative of future results.
  • 22. A Quantitative Analysis of Managed Futures in an Institutional Portfolio Correlations Between Managed Futures and Other Lintner analyzed the portfolio benefits of combining managed Investments account investments in fifteen different futures programs using The variety of trading sub-styles within managed futures and the different weighting schemes. For our purposes, the weighting lack of correlation among them, as well as to other traditional and schemes are not important since these may vary according to the alternative investments, makes it possible to enhance the return portfolio manager’s objectives. Instead, this section will focus on or diminish the risk of portfolios through the addition of managed the correlations among managers since these provide the most futures “alpha” strategies. These include sub-styles such as short- information about potential benefits to be had from diversification. term trading, niche discretionary strategies, relative-value, etc. For simplicity, it also will distill correlations among managers into These qualities make it possible to construct diversified, liquid, average pair-wise correlation. transparent fund of funds and portfolios by combining uncorrelated This section also draws upon the performance of the constituents programs. Lintner’s pioneering research demonstrated that there of the Newedge Short-Term Traders Index, a theoretical index of are substantial benefits which accrue from “selective diversification” 10 trading programs whose holding period is less than ten days on across a number of different futures managers and funds due to the average, trade two or more market sectors, and which are open for “rather moderate” correlations among them (Lintner 1996, 105). investment (Burghardt et.al. June 9, 2008, 4). There is some risk of The astronomically high number of combinations and permutations survivorship bias since all of the constituent programs remain open of portfolio holdings and investment horizons of short-term traders, for investment. Selection bias appears to be less of a concern since and accordingly, the unique and uncorrelated returns which result, this index contains managers of all trading styles, track records of make them a fascinating case for revisiting Lintner’s analysis of various lengths, and various levels of assets under management. diversification among futures managers. Regardless, while the constituents of the index do not provide an exhaustive sample, it is likely that they provide one which is representative of short-term trading and its correlation properties. Past performance is not necessarily indicative of future results. 19
  • 23. cmegroup.com EXHIBIT 7: Correlation Matrix of Traditional Alternative Investment Benchmarks S&P 500 Total Return Index HFRI Fund Weighted Index DJ UBS Commodity Index HFRI Equity Hedge Index Composite Global Index Barclay BTOP 50 Index Barclays Capital Bond Newedge Short-Term S&P/Citigroup World Composite US Index MSCI World Index LPX Buyout Index Barclays Capital Traders Index REIT Index GSCI TR Barclay BTOP 50 Index 1.00 S&P 500 Total Return Index -0.04 1.00 MSCI World Index -0.01 0.88 1.00 Barclays Capital Composite 0.20 -0.10 -0.09 1.00 US Index Barclays Capital Bond 0.22 0.19 0.23 0.89 1.00 Composite Global Index GSCI TR 0.12 0.17 0.23 -0.03 0.00 1.00 DJ UBS Commodity Index 0.17 0.30 0.40 0.01 0.11 0.90 1.00 HFRI Fund Weighted Index -0.02 0.74 0.75 -0.08 0.06 0.30 0.44 1.00 HFRI Equity Hedge Index -0.02 0.73 0.72 -0.08 0.06 0.35 0.43 0.95 1.00 LPX Buyout Index -0.21 0.75 0.77 -0.10 -0.14 0.30 0.31 0.77 0.78 1.00 S&P/Citigroup World -0.02 0.61 0.64 0.18 0.26 0.22 0.37 0.51 0.49 0.60 1.00 REIT Index Newedge Short-Term 0.54 -0.50 -0.44 0.00 0.08 -0.14 -0.09 -0.34 -0.40 -0.48 -0.42 1.00 Traders Index Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH, Newedge. All statistics calculated to maximize number of observations; as such, number of observations used for calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US Index - Sep 1997, Barclays Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity Hedge Index - Jan 1990, LPX Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through Dec 2011 with the exception of the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008. Lintner found that the “average correlation between the monthly The average pair-wise correlation among the constituents of the returns of each manager with those of every other manager,” or Newedge Short-Term Traders Index was 0.175, another very low average pair-wise correlation, among the fifteen managers in his value which supports the conclusion that short-term traders, like sample was 0.285, with a minimum of 0.064 and a maximum of those managed futures programs in Lintner’s sample, generally 0.421 (Lintner 1996, 110). This extremely low average pair-wise exhibit low correlations to one another (Burghardt et.al. June 9, correlation, and the sample maximum of 0.421 suggests that 2008, 4). the trading programs Lintner analyzed would generally have contributed to a portfolio in which any of them were part of the whole. 20 Past performance is not necessarily indicative of future results.
  • 24. A Quantitative Analysis of Managed Futures in an Institutional Portfolio The minimum pair-wise correlation within the sample was -0.142 of diversified, liquid, transparent “alpha” strategies. If managed and the maximum was 0.556, comparable to the results from futures consisted solely of trend following strategies, this would Lintner’s sample albeit with slightly wider dispersion. Pair-wise be a difficult if not impossible exercise, given the tendency correlations are displayed in Exhibit 8. toward high correlation among trend followers. The diverse and uncorrelated investments offered by CTAs, however, allow The lack of correlation among managed futures strategies, as institutional investors access to an entire universe of liquid, well as with traditional and other alternative investments, allows transparent hedge fund strategies. them to contribute to most portfolios. The analysis of pair- wise correlation also provides an illuminating example of how futures trading programs can be combined to create a portfolio EXHIBIT 8: Distribution of Pair-Wise Correlations Newedge Short-Term Traders Index Source: AlphaMetrix Alternative Investment Advisors, Newedge Group, Burghardt et.al Past performance is not necessarily indicative of future results. 21
  • 25. cmegroup.com MANAGED FUTURES AND PERFORMANCE DURING FINANCIAL MARKET DISLOCATIONS The volatility and market dislocation that accompanied the Although managed futures returns tend to be uncorrelated to other subprime mortgage crisis, credit crunch, and explosion and collapse investments over the long run, correlations are non-stationary over of commodities prices during the second half of 2007 and 2008, shorter time horizons and may temporarily converge during crisis was briefly alluded to earlier in this paper. The diversified mix of conditions. Ramsey and Kins point to “the case of exogenous events investments many institutional investors had relied upon failed to like the failed Russian coup in the 1990s or September 11, 2001” generate returns. The major U.S. and Global equities market indices, as examples where managed futures would not have been effective the S&P 500 and MSCI World, performed dismally, returning -37.94 as a portfolio hedge and would have experienced losses alongside percent and -39.90 percent, respectively, from August 2007 when other investments and actively managed strategies (Ramsey and the credit crisis began, through December 2008. Kins 2004, 130). Not all market dislocations are the same, making CTAs vulnerable to rapid reversals or the sudden onset of volatility. Most alternative investments, which had promised absolute returns, The reaction of managed futures strategies to price action is path disappointed investors as well. The HFRI Fund Weighted Composite dependent, and the response of the program to prevailing price Index, an equally weighted index designed to represent the returns of action during a crisis determines performance, at least in the short- hedge funds across all strategies, returned -17.21 percent from August term. 2007 through December 2008. The HFRI Equity Hedge (Total) Index, which includes hedge funds whose core holdings consist of Certain generalizations about CTA returns and the market equities and therefore does not benefit as much from diversification conditions that generate them do tend to result in bouts of strong, as the HFRI Fund Weighted Composite Index, returned -25.06 positive performance during certain kinds of market dislocations. percent. Private Equity and Real Estate Investment Trusts, The majority of CTAs trade “long volatility” strategies, which tend represented by the LPX Buyout Index and the S&P/Citigroup World to produce a positively skewed distribution of monthly returns. The REIT Index, returned an atrocious -71.91 percent and -47.40 percent, long option/positive gamma returns profile originates from the tight respectively, from August 2007 through December 2008. CTAs, control of downside risk relative to less frequent outsized returns, however, capitalized on the market dislocations of 2007 and 2008, suggesting that these managers generate the majority of their providing managed futures investors with returns of 17.57 percent returns during lower frequency, high impact events. In contrast, over the same period, as measured by the BTOP 50 index. most hedge fund strategies have fat left tails in their distributions of returns since they perform well under normal conditions but suffer Ramsey and Kins posit that “though not a hedge, CTAs often infrequent, large losses under highly volatile conditions and should perform very well when markets are under extreme stress, and therefore be considered short volatility strategies (Ramsey and Kins have a high probability of adding value to an existing portfolio 2004, 130). These “tail events” for CTAs and hedge funds tend to during difficult market conditions” (Ramsey and Kins 2004, coincide with massive shifts of capital which create trends in global 134). This is because managed futures tend to capture massive equity, interest rate, and commodities markets stemming from a flows of capital as markets reestablish equilibrium in the wake of flight to or from quality. Any dislocations which catalyze trends of new information or in the transition from one economic cycle to this sort can and often do result in strong performance for managed another. It cannot be emphasized enough that managed futures futures. are not and should not be treated as a portfolio hedge, but rather as an additional source of non-correlated returns, as this paper has demonstrated. 22 Past performance is not necessarily indicative of future results.
  • 26. A Quantitative Analysis of Managed Futures in an Institutional Portfolio Exhibit 9, “Performance of BTOP 50 During Worst 15 Quarters of “Black Monday” in 1987, the events leading up to the Persian Gulf S&P 500 Index,” illustrates that CTAs have historically capitalized War in 1990, Long Term Capital Management and the Russian on the various forms of volatility which accompany market Crisis in 1998, the burst of the tech bubble and ensuing recession in dislocations, be they sustained trends consistent with a flight to or 2000-2002, the credit crunch and commodity run-up of 2007-2008, from quality, shorter-term choppy price action, or sudden reversals and the European Sovereign Debt Crisis, all serve as examples of associated with rapid swings in sentiment explained by market market dislocations during which the performance of equities psychology and behavioral finance. Exhibit 9 provides a compelling suffered and managed futures performed well. reason to include managed futures in a prudent and properly diversified portfolio. EXHIBIT 9: Performance of the BTOP 50 Index During 15 Worst Quarters of S&P 500 (Total Return) Index Period Event S&P 500 Total Return Index Barclay BTOP 50 Index Difference Fourth Quarter 1987 Black Monday - Global Stock Markets Crash -22.53% 16.88% 39.41% Fourth Quarter 2008 Bear Market in U.S. Equities led by Financials -21.95% 9.14% 31.08% Third Quarter 2002 WorldCom Scandal -17.28% 9.41% 26.69% Third Quarter 2001 Terrorist Attacks on World Trade Center -14.68% 4.12% 18.79% and Pentagon Third Quarter 1990 Iraq Invades Kuwait -13.75% 11.22% 24.97% Second Quarter 2002 Continuing Aftermath of Technology -13.39% 8.52% 21.92% Bubble Bursting First Quarter 2001 Bear Market in U.S. Equities led by Technology -11.86% 5.97% 17.83% Second Quarter 2010 European Sovereign Debt Crisis, "Flash Crash" -11.42% -1.94% 9.48% First Quarter 2009 Credit Crisis Continues -11.01% -1.75% 9.26% Third Quarter 1998 Russia Defaults on Debt, LTCM Crisis -9.94% 10.54% 20.48% First Quarter 2008 Credit Crisis, Commodity Prices Rally -9.45% 6.43% 15.88% Third Quarter 2011 European Sovereign Debt Crisis -8.90% 0.44% 9.34% Third Quarter 2008 Credit Crisis, Government-Sponsored Bailout -8.37% -4.11% 4.26% of Banks Fourth Quarter 2000 DotCom Bubble Bursts -7.82% 19.78% 27.60% Third Quarter 1999 Anxiety during Run Up to Y2K -6.24% -0.67% 5.57% Source: AlphaMetrix Alternative Investments Advisors, Bloomberg Past performance is not necessarily indicative of future results. 23
  • 27. cmegroup.com Exhibit 10, “BTOP 50 vs. S&P 500 During S&P 500’s Worst Five The quarter-by-quarter analysis provides a high level of granularity, Drawdowns Since 1987,” illustrates the tendency of CTAs to and also provides further evidence that managed futures tend to perform well during periods which are difficult for equity markets, perform well during extended dislocations, but do not always do albeit through a different lens. It illustrates the performance of so. It is also worth noting that the historic quarters referred to in the BTOP 50 Index from peak to valley during the five worst Exhibit 9 all are referencing periods after the Lintner study, and drawdowns of the S&P 500, each associated with a different thus further corroborate his important findings. financial market dislocation. EXHIBIT 10: BTOP 50 vs. S&P 500 Total Return Index’s Worst Five Drawdowns since 1987 Source: AlphaMetrix Alternative Investment Advisors, Bloomberg *S&P 500 Total Return Index had not completely recoved from its drawdown beginning in 11/07, due in part to its depth and severity; the drawdown beginning 5/11 is included because it would have qualified as one of the worst had the index recovered to its previous highs 24 Past performance is not necessarily indicative of future results.
  • 28. A Quantitative Analysis of Managed Futures in an Institutional Portfolio Similarly, Exhibit 11, “Performance of the BTOP 50 in Worst 10 CTA performance tend to coincide with the left tail events of Quarters of HFRI Fund Weighted Composite Index,” suggests that hedge funds, suggesting that managed futures should complement managed futures have historically tended to perform well when most alternative investment portfolios. the performance of many other hedge fund strategies suffers. This lends credence to the idea that the tail events which drive EXHIBIT 11: Performance of the BTOP 50 Index During Worst 10 Quarters of HFRI Fund Weighted Index Period Event HFRI Fund BTOP 50 Index Difference Weighted Index Third Quarter 2008 Credit Crisis, Government-Sponsored Bailout -9.60% -4.11% 5.49% of Banks Fourth Quarter 2008 Bear Market in U.S. Equities led by Financials -9.19% 9.14% 18.33% Third Quarter 1998 Russia Defaults on Debt, LTCM Crisis -8.80% 10.54% 19.34% Third Quarter 2011 European Sovereign Debt Crisis -4.14% 0.44% 4.58% Third Quarter 2001 September 11th Terrorist Attacks -4.03% 4.12% 8.15% Third Quarter 1990 Saddam Hussein invades Kuwait, Oil Price Shock -3.92% 11.22% 15.15% Third Quarter 2002 WorldCom Scandal -3.85% 9.41% 13.27% First Quarter 2008 Credit Crisis, Collapse of Bear Stearns -3.44% 6.43% 9.88% Fourth Quarter 2000 DotCom Bubble Bursts -3.26% 19.78% 23.03% Second Quarter 2010 European Sovereign Debt Crisis, "Flash Crash" -2.67% -1.94% 0.73% Source: AlphaMetrix Alternative Investment Advisors, Bloomberg Past performance is not necessarily indicative of future results. 25
  • 29. cmegroup.com Exhibit 12, “BTOP 50 vs. HFRI Fund Weighted Composite Index’s Short-term traders are usually engineered to perform better during Worst Five Drawdowns Since 1990,” provides an additional a higher volatility regime, although of a different type than that perspective as before. Once again it seems that the performance of which is conducive to trend following. Volatility describes only the managed futures complements other actively managed strategies dispersion of changes in price around the mean, not the manner in during periods of market dislocation or duress. which they unfold. Proper, rigorous due diligence always needs to be conducted, but there are many excellent CTAs of various strategies While managed futures have proven to be a great diversifier that should do well on a risk-adjusted basis over the long-run. during equity drawdowns, it is incorrect to assume that they are necessarily a pure hedge for equities. It is true that good trend- It is also essential to highlight the fact that certain dislocations followers are supposed to catch trends, so during a prolonged bear or events may produce market environments which are difficult market, a good trend-following program should be able to generate for most hedge fund strategies, including certain managed returns. However, that does not mean that if there is a quick and futures strategies. The diversity within and the lack of correlation sudden drop in the equity market, that a trend-following CTA will among alternative investments, and within and among managed necessarily be positive. As stated earlier, the universe of managed futures in particular, suggests that it is highly likely that at least futures is diverse, with many different types of trading strategies – a few alternative strategies will outperform during any given not just trend followers. environment. Again, it may be helpful to think of different alternative investments and market environments in terms of the radio signal and receiver analogy. EXHIBIT 12: BTOP 50 vs. HFRI Fund Weighted Index’s Worst Five Drawdowns since 1990 Source: AlphaMetrix Alternative Investment Advisors, Bloomberg 26 Past performance is not necessarily indicative of future results.
  • 30. A Quantitative Analysis of Managed Futures in an Institutional Portfolio Managed futures present very real risks for investors just like trade execution and order flow, and compliance and operational any other hedge fund style. Investors can potentially experience policies and procedures. The investor should also take care to volatility and substantial drawdowns, especially if the trading read and understand any disclosure documents, prospectuses, manager has set a higher return objective and is taking more risk and offering memoranda prior to investing in a manager’s fund to try to obtain it. Investors should always conduct thorough due in order to understand additional risks and relevant disclosures. diligence to properly understand the potential risks and weaknesses It is also important to make sure that proper governance and of trading programs before investing. This is especially important separation of duties exists within the trading manager as well as because the trading methodologies employed by CTAs, the level of among the trading manager, its fund, and service providers. Only risk and return that is targeted, and the quality of the operational by conducting proper due diligence and vetting of the trading infrastructure of trading managers may vary tremendously across methodology and manager’s credentials can the investor determine the space. As such, it is critical that the investor takes the time the suitability and potential risks of the investment. to properly understand the nuances of the trading manager’s Managed futures provide an additional source of uncorrelated investment strategy, risk management, as well as the domain of absolute return that complements other alternative investment instruments traded and potential concentration risks. The investor strategies by demonstrating a proclivity for outperformance during should also be acutely aware of operational risks and should make periods which tend to be difficult for many other actively managed every effort to understand the relationship between the trading investments. manager, associated entities, patterns in personnel turnover, Past performance is not necessarily indicative of future results. 27
  • 31. cmegroup.com An analysis of the semicorrelations provides further insight into the The lack of strong negative semicorrelation with cyclical investments performance of managed futures during financial market dislocations. provides further evidence that a managed futures strategy is not a Semicorrelation provides a clear picture of the relationship between portfolio hedge. The weak negative semicorrelation, however, may the returns of two investments when one of them experiences losses. suggest that managed futures do offer an uncorrelated investment style Exhibit 13 shows the semicorrelations among the BTOP 50 Index that tends to perform well during financial market dislocations; rolling and various other traditional and alternative benchmarks. Like the analysis may provide deeper insight into this question. correlations in Exhibit 7, all of the coefficients of semicorrelation Paradoxically, the tremendous diversity of trading styles and are less than 0.30, and many of them are negative. The fact that methodologies within managed futures and the lack of correlation all semicorrelations are bounded between -0.30 and 0.20 does among many of them does not appear to preclude them from sharing a not provide evidence of any strong relationships among the BTOP penchant for most kinds of volatility or apparent resistance to it. Trend 50 Index and the other indices on the downside. The signs of following conjures up the archetypal image of the long gamma strategy the coefficients, however, are congruent with intuition and the that thrives during financial market dislocations, but trading managers hypothesis that managed futures perform well during financial market across the entire space tend to generate strong performance in difficult dislocations. The semicorrelation coefficient between the BTOP 50 environments for other investments. The tendency toward high Index and each of the investments that tend to be cyclical in nature, correlation among trend followers suggests that investors can typically namely equities, hedge funds, and private equity, is weak negative. maximize the benefits to their portfolios with a small number of Conversely, the semicorrelation coefficient between the BTOP 50 them. Other managed futures strategies, however, successfully exploit Index and each of those investments which tend to be counter- the sustained massive flows of capital that create trends in different cyclical, such as fixed income and commodities, is weak positive. ways, resulting in distinct and uncorrelated returns profiles. Still Others still are so close to zero that it appears there is no relationship. others exploit altogether distinct phenomena that tend to accompany financial market dislocations or are independent of them. EXHIBIT 13: Semicorrelations of BTOP 50 Index and Various Traditional and Alternative Investment Benchmarks January 1980 - December 2011 HFRI Fund Weighted Index DJ UBS Commodity Index HFRI Equity Hedge Index Composite Global Index Barclays Capital Bond MSCI World Daily Total Newedge Short-Term S&P/Citigroup World Composite US Index Return Net (USD) LPX Buyout Index Barclays Capital S&P 500 Total REIT TR Index Traders Index Return Index GSCI TR Barclay BTOP 50 Index -0.23 -0.22 0.12 0.14 0.11 -0.03 -0.30 -0.19 -0.30 -0.09 0.37 Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH, Newedge. All statistics calculated to maximize number of observations; as such, number of observations used for calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US Index - Sep 1997, Barclays Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity Hedge Index - Jan 1990, LPX Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through Dec 2011 with the exception of the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008. 28 Past performance is not necessarily indicative of future results.
  • 32. A Quantitative Analysis of Managed Futures in an Institutional Portfolio Discretionary macro traders who utilize the liquid, transparent volatility is high. Other short-term traders appear to generate returns futures markets to express their views tend to capture many of independent of volatility or the prevailing volatility regime. The the same sustained capital flows as trend followers. Unlike trend highly flexible nature of short-term traders enables them to quickly followers, however, these trading managers retain the flexibility reposition themselves within rapidly changing market environments. to quickly reduce risk or reverse their positions, often resulting in As such, they often perform very well during market dislocations completely unique and uncorrelated returns for their investors. Other since they adapt quickly to take advantage of the opportunities these discretionary CTAs focus on relative value relationships or on a niche shock events present. market or sector which may not be sensitive to global systematic Exhibit 14 illustrates the semicorrelations between the Newedge events. As such, these trading managers often generate strong returns Short-Term Traders Index (Proforma) and different traditional and during shocks or dislocations to the system and display non-correlated alternative benchmarks over the life of the index. properties to trend followers and other investments. The extremely short track record of this theoretical index may result Short-term traders thrive on many kinds of volatility, including the in some spurious correlations, but in the tradition of Professor sustained variety that generates trends, but also on choppy, range- Lintner, we attempt to make due with the data available. bound activity and rapidly shifting volatility regimes where volatility of EXHIBIT 14: Semicorrelations of Newedge Short-Term Traders Index and Various Traditional and Alternative Investment Benchmarks January 1980 - December 2011 HFRI Fund Weighted Index DJ UBS Commodity Index HFRI Equity Hedge Index Composite Global Index Barclay BTOP 50 Index MSCI World Daily Total Barclays Capital Bond S&P/Citigroup World Composite US Index Return Net (USD) LPX Buyout Index Barclays Capital S&P 500 Total Return Index REIT Index GSCI TR Newedge Short-Term 0.34 -0.50 -0.54 0.35 0.58 -0.39 -0.53 -0.54 -0.58 -0.52 -0.41 Traders Index Sources: AlphaMetrix Alternative Investment Advisors, Bloomberg, LPX GmbH, Newedge. All statistics calculated to maximize number of observations; as such, number of observations used for calculations varies (Starting Dates: BTOP 50 - Jan 1987, S&P 500 Total Return Index - Jan 1980, MSCI World - Jan 1980, Barclays Capital Bond Composite US Index - Sep 1997, Barclays Capital Bond Composite Global Index - Feb 1980, GSCI TR - Jan 1980, DJ UBS Commodity Index - Feb 1991, HFRI Fund Weighted Index - 1990, HFRI Equity Hedge Index - Jan 1990, LPX Buyout Index - Jan 1998, S&P/Citigroup World REIT TR Index - Jan 1990, Newedge Short-Term Traders Index - Jan 2008). All statistics calculated through Dec 2011 with the exception of the Barclays Capital Bond indices, which did not report returns for Sep 2008 or Oct 2008. Past performance is not necessarily indicative of future results. 29
  • 33. cmegroup.com BENEFITS TO INSTITUTIONAL INVESTORS Managed futures provide institutional investors with a variety Rather than allowing cash to sit idle, many futures investors prefer of liquid, transparent investment programs that do not exhibit to deploy part of this cash to increase their trading level and correlation to traditional or alternative investments, and notional exposure. For instance, if an investor buys a theoretical oftentimes, one another. Though not a hedge, they often provide futures contract with a notional value of $100,000 and a margin robust performance in unfavorable environments for equities requirement of $10,000, $10,000 will be deployed as margin and and most alternative investments. The exchange-listed nature of $90,000 will remain in cash. If the investor chooses to do so, he the underlying instruments traded facilitates risk management could double his notional exposure from $100,000 to $200,000 and mitigates many of the dangers associated with model risk. by posting an additional $10,000 as margin on the purchase of Additionally, institutional investors who access the space via a second futures contract. The investor now holds a notional separately managed accounts substantially minimize operational position of $200,000 on his $100,000 cash. This position will be risks and the possibility of fraud, maintain custody of assets, and able to withstand losses of 40 percent before all of the investor’s have access to full transparency of positions. This section attempts cash is consumed, triggering a margin call (a 40 percent loss on to shed insight into other intrinsic features of managed futures two $100,000 contracts equals $80,000. Any losses surpassing this which enable institutional investors to capitalize on these desirable level would dip below the margin requirement on this position of characteristics. $20,000). One of the unique advantages managed futures offer institutional investors is the ability to notionally fund investments, allowing investors to efficiently deploy cash to gain increased exposure or for allocation elsewhere in the portfolio. Due to the low margin requirements for most futures contracts, only a small fraction of the cash deposited at the manager’s futures commission merchant is deployed as margin for trading. The remainder sits in cash equivalent instruments, earning interest and serving as a reserve in the event of trading losses. 30 Past performance is not necessarily indicative of future results.
  • 34. A Quantitative Analysis of Managed Futures in an Institutional Portfolio EXHIBIT 15: Managed Futures Alpha Overlay – How It Works • Begin with initial capital outlay (100%). • Invest 10% of the cash in managed futures. Since futures Initial Capital require only a small cash deposit, it is easy and prudent to use 100% notional funding to increase exposure to the managed futures component to 20%. Managed Futures • Invest remaining 90% of cash in fund investments. 10% Cash • Result is enhanced portfolio diversification for small cash outlay. Managed Futures Managed Futures 10% Cash 10% Notional 2X (held at FCM/Prime Broker) (posted as margin) Fund Investments 90% Cash Managed Futures Alpha Overlay Portfolio 110% Notional Exposure The liquidity and transparency of these instruments tremendously Many institutional investors also appreciate the fact that managed facilitates risk management since the notional exposure, margin futures offer favorable 60 percent long-term, 40 percent short-term usage, and prices of the instruments are all known. The risk capital gains tax treatment, despite the fact that the holding period manager can therefore easily determine and monitor portfolio risk. for the underlying instruments is typically less than what would qualify as “long-term” under U.S. tax laws. The low margin requirements of futures contracts in effect allow for free leverage. Whereas leverage typically involves borrowing funds The question of asset-liability mismatch is an important or instruments at LIBOR plus a spread, the only cost associated with consideration for many institutional investors, particularly those leverage via notional funding is the opportunity cost of interest income who manage pension funds, endowments, or otherwise meet foregone on the idle cash. Aside from utilizing idle cash to increase recurring obligations by making periodic payments. The liquidity notional exposure, many investors choose to reallocate it to other of managed futures and other highly liquid hedge fund strategies parts of their portfolio, effectively allowing them to create an alpha alleviates asset-liability mismatch, allowing institutional investors overlay for a relatively small fraction of the total investment capital, for whom it is an issue to mitigate the effects of illiquid investments as explained in Exhibit 15. Strategies like this allow for substantial elsewhere in their portfolio. In the event that the investor needed increases in portfolio diversification for a relatively small cash outlay. to suddenly liquidate assets to meet an unanticipated obligation, it could easily do so from this part of its book without foregoing the opportunity to attain absolute returns. Past performance is not necessarily indicative of future results. 31
  • 35. cmegroup.com CONCLUSION Managed futures have evolved tremendously since the first CTAs of all persuasions offer institutional investors virtually iterations of long-term trend following in the late 1940s. Advances limitless potential sources of uncorrelated returns to enhance the in technology, computing power, and telecommunications have diversification of portfolios. The fact that managed futures strategies opened up heretofore inconceivable possibilities in futures trading, as a whole have historically performed well in environments that not only for quantitative or systematic managers, but also for niche tend to be difficult for most other investments provides additional and discretionary experts whose access to critical information has benefits to portfolios. been facilitated by these developments. While it is important to remember that managed futures are not Quantitative scientists and researchers have been able to apply a portfolio hedge, the mechanics of trend following, short-term highly technical and sophisticated methods to the markets for the trading, discretionary macro, and statistical pattern recognition first time since the clean, high quality data which they require explain their respective intrinsic proclivities for different kinds of has only recently become available at accessible prices. Short- volatile markets. The prolonged dislocation in the global financial term traders are scouring tick databases which took years to markets of 2007 and 2008 serves as only the latest example in a build for persistent statistical aberrations whose exploitation has canon of many. been made possible by the meteoric ascent of electronic markets While the growth of managed futures has been impressive, it has and decreased transactions costs. Short-term traders are at the paled in comparison with that of other alternative investments frontiers of interfacing trading with technology. Trend following has (hedge funds that are non-managed futures, private equity, and real emerged from its naive, primarily rules-based beginnings to a highly estate). There are hedge funds on the entire liquidity continuum sophisticated group of strategies whose ability to generate robust between mutual funds and private equity funds, and managed returns has been enhanced, while more closely controlling risk and futures should be regarded as liquid alpha, as opposed to the more drawdown. Some trend followers employ armies of scientists and limited characterization of simple trend follower. The space of mathematicians, and have formed alliances with top universities. managed futures is rich and fertile, with a very broad range of If these developments are any indication, the future of managed strategies and styles. futures is bright and incredible opportunities lay ahead for the next generation of traders and investors alike. 32 Past performance is not necessarily indicative of future results.
  • 36. A Quantitative Analysis of Managed Futures in an Institutional Portfolio The liquidity and transparency of the underlying instruments The propensity of managed futures toward positively skewed substantially mitigate the hidden risks which often accompany distributions of returns also suggests that few trading programs are investing in hedge funds and alternative investments. Price susceptible to the risk of infrequent, potentially catastrophic losses. discovery takes place constantly in futures markets, and settlements The mean-variance framework and Sharpe ratio rarely capture these on all futures contracts are determined by the various exchanges at effects, suggesting that deep analysis of the higher statistical moments the end of each trading day, facilitating the pricing of portfolios and or the application of the Omega function present superior approaches the measurement and management of risk. The value of liquidity to the assessment of investment performance, risk, and return. is often under-estimated, and the performance of hedge funds that As plan sponsors, endowments and foundations reacquaint trade illiquid instruments have under-performed hedge funds that themselves with managed futures – or as the case may well be, have better liquidity terms [Bhaduri and Art, 2008]. truly discovers them for the first time – they should consider it an Indeed one might argue that the space of managed futures has eclectic amalgamation of liquid alpha strategies. Managed futures become so diverse with so many different types of risk-adjusted offers institutional investors actively managed exposure to a truly return possibilities to legitimately target, that it is perhaps global and diversified array of liquid, transparent instruments. The questionable why anyone would invest in alternatives that have returns of many of these do not display correlation and do not appear onerous lock-ups and trade illiquid or non-exchange traded to be easily explained by traditional or alternative investments, and instruments. A portfolio manager who is performing his or her oftentimes, one another. Institutional investors should view managed fiduciary duty must justify that the investments that they are making futures not only as means to enhance portfolio diversification, but are getting a proper liquidity premium. This in turn means that also as absolute return vehicles with intuitive risk management. if they make an investment in an illiquid vehicle, then they are in essence stating that they could not have achieved that risk-adjusted return through more liquid investments in managed funds. The excellent breadth and liquidity of CTAs, or portfolios of CTAs, lends itself well as the engine of structured products. It is important to realize that due diligence is needed in selecting good CTAs. Like anything else, there are both good and bad CTAs, and only rigorous and proper due diligence will help to differentiate them. In addition, in recent years, 40 Act Funds have been introduced that mimic managed futures strategies. These funds have attracted a good amount of attention and a significant amount of assets. For more information on Managed Futures, visit www.cmegroup.com. Past performance is not necessarily indicative of future results. 33
  • 37. cmegroup.com CONCLUSION IN CONTEXT OF LINTNER It is not without some trepidation that the objective of this paper It is also fitting that during the silver anniversary of Dr. Lintner’s was set—namely, a modern day Lintner paper. Dr. Lintner’s work fine work, it survived the ultimate litmus test through the historic concerning the role of managed futures in a portfolio is considered financial meltdown of 2008. Managed futures have been one of a classic. the very few bright spots for investments (both alternative and traditional) during this recent crisis in the economy. The famous quote by Sir Isaac Newton, “If I have seen further it is only by standing on the shoulders of giants,” is in some sense an Indeed, one might argue that Dr. Lintner saved his very best work understatement for our particular case as Dr. Lintner laid out the for last. entire road map. It is remarkable just how solid Dr. Lintner’s argument has remained through the test of time. The inclusion of managed futures in an institutional portfolio leads to better risk-adjusted performance (either through the mean-variance framework, or through the more modern Omega analysis). The results are so compelling that the board of any institution, along with the portfolio manager, should be forced to articulate in writing their justification in not having an allocation to the liquid alpha space of managed futures. Acknowledgements The authors would like to thank Aleks Kins, Dr. Edgar Lobachevskiy, Charley Penna, and Dennis Zarr. To contact the authors: Ryan Abrams Ranjan Bhaduri Elizabeth Flores rabrams@warf.org rbhaduri@alphametrix.com elizabeth.flores@cmegroup.com For more information on Managed Futures or CME Group contact: David Lerman Randy Warsager Senior Director, CD&S, Senior Director, CD&S, Hedge Funds Asset Managers randy.warsager@cmegroup.com david.lerman@cmegroup.com 212-299-2352 312-648-3721 34 Past performance is not necessarily indicative of future results.
  • 38. A Quantitative Analysis of Managed Futures in an Institutional Portfolio REFERENCES 1. Bhaduri, Ranjan and Bryon Kaneshige. “Risk Management – Taming the Tail.” Benefits and Pensions Monitor, December 2005. 2. Bhaduri, Ranjan and Christopher Art. “Liquidity Buckets, Liquidity Indices, Liquidity Duration, and their Applications to Hedge Funds.” Alternative Investment Quarterly, Second Quarter, 2008. 3. Bhaduri, Ranjan, Gunter Meissner and James Youn. “Hedging Liquidity Risk.” Journal of Alternative Investments, Winter 2007. 4. Bhaduri, Ranjan and Niall Whelan. “The Value of Liquidity” Wilmott Magazine, January 2008. 5. Burghardt, Galen et.al. “Correlations and Holding Periods: The research basis for the AlternativeEdge Short-Term Traders Index”. AlternativeEdge Research Note. Newedge Group, June 9, 2008. 6. Center for International Securities and Derivatives Markets (CISDM). “The Benefits of Managed Futures: 2006 Update.” Isenberg School of Management, University of Massachusetts, 2006. 7. Fischer, Michael S. and Jacob Bunge. “The Trouble with Trend Following.” Hedgeworld’s InsideEdge. November 20, 2007. 8. Keating, Con and William F. Shadwick. “A Universal Performance Measure.” The Finance Development Centre, 2002. 9. Lintner, John. “The Potential Role of Managed Commodity-Financial Futures Accounts (and/or Funds) in Portfolios of Stocks and Bonds.” The Handbook of Managed Futures: Performance, Evaluation & Analysis. Ed. Peters, Carl C. and Ben Warwick. McGraw- Hill Professional, 1996. 99-137. 10. Ramsey, Neil and Aleks Kins. “Managed Futures: Capturing Liquid, Transparent, Uncorrelated Alpha.” The Capital Guide to Alternative Investment. ISI Publications, 2004. 129-135. *All charts, graphs, statistics, and calculations were generated using data from Bloomberg, the Barclays Capital Alternative Investment Database, LPX GmbH, and Manager Reported Returns. Past performance is not necessarily indicative of future results. 35
  • 40. Data sources: CME Group unless otherwise noted IMPORTANT DISCLAIMER This document and the information contained herein is purely for discussion purposes only and intended for educational use. The information may be subject to verification or amendment; no representation or warranty is made, whether expressed or implied, as to the accuracy or completeness of the information provided. It is strongly recommended that an investment in Pooled Vehicles or Separately Managed Accounts be made only after consultation with a prospective investor’s financial, legal and tax advisors. This document does not constitute legal, tax, investment or any other advice, and should not be construed as such. Depending on the applicable jurisdiction, investing in Pooled Vehicles or Separately Managed Accounts may be restricted to persons meeting applicable suitability requirements or designations, such as Accredited Investor, Qualified Eligible Person, or Qualified Purchaser. 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