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Winged Foot Capital, LLC
Winged Foot Capital
How to diligence a quant strategy
Ram Ahluwalia, CFA
Winged Foot Capital
Winged Foot Capital
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Copyright 2012 Winged Foot Capital LLC. All rights reserved.
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Motivation
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Agenda
 Framework
− What is the right framework for evaluating quantitative investment
strategies?
− How do you evaluate a manager that is reluctant to open the blackbox?
− Is the manager generating alpha, a risk premium, or simply lucky?
 Nuts & Bolts
− What is the anatomy of a statistical arbitrage and HFT strategy?
− What are the tools and practical tips you need to know?
 Applied Case Studies
− Volatility Trading & a High Frequency Trader
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Framework: Quant strategies are highly differentiated in sources of risk and
return
Strategy Beta Exotic Beta Factor models Market (Risk)-
Neutral
HFT
Example • 60/40 equities
and fixed income
• HF replication
• Endowment-style
investing
• Risk parity
• Long value,
short growth
• Equity market-
neutral
• Market-making
Return sources • Risk premium • Risk premiums
− Equity market
− Credit / spreads
− Currency
− Volatility
− Duration
• Factor timing
• Factor risks:
− Value
− Momentum
− Mean
reversion
− Size
− Quality
• Liquidity
provision
• Information
dissemination
• Arbitrage
• Bid-ask spread
capture
• Order anticipation
• Rebate capture
Risk • Systematic • Systematic
(diversified)
• Factor risk • Idiosyncratic • Idiosyncratic
Horizon • Many years • Quarters to years • Days to months • Days to weeks • Seconds to
intraday
Sharpe Ratios • -.3 to .3 • .5 to 1.5 • .5 to 3 • 1 to 3 • 5 to 15
Return/Trade • -50% to 50% • -25% to 25% • Up to 5% • Up to 250 bps • 10 mils to 10 bps
Capacity • High • High • Medium • Low • Very low
Ann. Turnover • < 1x • 1 to 2x • 1 to 5x • 1 to 250x • 250x & beyond
Fees • Low • Low • Medium • Medium • High
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Framework: The Fundamental Law of Active Management
Ex-Ante manager value-added is the product of the manager’s skill & breadth
 Published by Richard Grinold*
 The Fundamental Law of Active Management
relates 3 variables: Information Ratio (IR), Skill
(IC), and Breadth
 Lay interpretation: A manager’s performance is
based on of their batting average, and how
many times they get at bat
 Some manager’s may be lucky so we want to
decompose the manager’s performance using
the right-hand side of the equation
See “Active Portfolio Management”, 2nd. Edition for more information
𝐼𝑅 = 𝐼𝐶 ∗ 𝐵𝑟𝑒𝑎𝑑𝑡ℎ
 Breadth Increases
− # of independent bets
− size of the universe
− short-term horizons
− and number of
strategies
 Skill / Edge
is measured
quantitatively
& qualitatively
 Information
Ratio (IR)
measures the
manager’s
value-added.
IR > 1.0 is
considered
top-decile
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Skills can be measured qualitatively. Quants may exploit a structural inefficiency,
process information faster, or offer liquidity to distressed buyers/sellers
Qualitative Examples Description
• Time-Zone Arbitrage • Fund domiciled in one time-zone allows purchases/sales at a fixed price at end of trading day in
local market, while reference basket is still trading in foreign market
• Opening & Closing auction
inefficiencies
• Market rules and order imbalances can create small arbitrage opportunities for nimble players
• FX market making • Market maker “last look” rule offers right to reject trade rather than provide liquidity
• Internalization engines /
Dark pools
• Market makers inside internalizations engine have first-look at all order flow and can route
undesirable order flow to an exchange, or “pre-position” ahead of client orders
• Insurance underwriting • Un-economically motivated buyers & sellers willing to take on negative expected value trades
• Distressed sellers / buyers • Sellers demanding liquidity sell at discounts to fair value (ex: TARP auctions). Buyers seeking
safety pay premiums to fair value (ex: T-bills trading above par during Oct ‘08)
• Fund structure arbitrage • Fund structure mandates create inefficiencies in the “crossover” market between investment &
high-yield debt
• OAS spread capture • Firms with deep pre-payment and credit modeling capabilities can capture an option-adjusted
spread embedded in RMBS
• Embedded options • Embedded options (ex: survivor’s options in life insurance, trigger options in structured credit, or
the option-adjusted spread in RMBS) can be mispriced
• Analytics • Opaque and complex securities such as structured credit are difficult for most players to value
accurately
• Latency • Superior speed allows some nimbler firms to minimize adverse selection and market-make or
arbitrage more aggressively
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Framework: A relative value approach (i.e. hedging) is critical to controlling
exposure to risk factors and maximizing risk-adjusted returns
𝜇𝑚𝑎𝑛𝑎𝑔𝑒𝑟 − 𝑟𝑓
𝜎
Ex-post Sharpe ratio:
w ∗ ∝ − 𝑟𝑓
wΣw𝑇
Ex-ante Sharpe ratio is
maximized by solving for
weights in an optimizer
 The ex-post sharpe ratio is measured
using the manger’s realized time-series
of returns
 A quant seeks to maximize their ex-ante
Sharpe ratio based on their expectations
of security returns
 Turns out that is considerably easier to
model risk (i.e. the correlation and
volatility relationships across securities)
that it is to estimate expected returns
 Therefore minimizing the risk exposures in
a strategy is a substantially easier way to
improve the sharpe ratio
 Look for managers that have zero net
directional exposure (i.e. dollar-neutral,
beta-neutral, factor-neutral, style neutral)
w:
∝:
rf:
Σ:
weight
alpha
Risk-free rate
Risk model (covariance matrix)
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Framework: Managers that strictly control their beta exposures tend to have
muted returns without leverage
Expected
Portfolio
Return
Risk 𝜎
Manager’s
efficient frontier
without leverage
B: Manager’s
highest sharpe
A: Manager
without risk
hedging
Key Points
 Beta’s such as the equity risk
premium, credit risk, volatility risk,
or interest rate offer high long-run
expected returns for passive
investors
 Betas are difficult to predict and
cheap to own (why pay 2/20 for
exposure to them?)
 Manager can choose point A which
has higher returns for taking
uncontrolled systematic risks
 Manager can choose point B which
hedges out residual beta risks and
has a high risk-adjusted
performance, however, their returns
are relatively muted
 Manager can choose to operate
higher on the efficient frontier but
they sacrifice risk-adjusted
performance
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Framework: Leverage allows the manager to operate on a new efficient frontier
that efficiently trades-off risk and return
Expected
Portfolio
Return
Risk 𝜎
Manager’s new
efficient frontier
with leverage
B: Manager’s
highest sharpe
A: Manager
without risk
hedging
Key Points
 Leverage allows a manager to
maximize both risk-adjusted
returns and calibrate to an
investor’s desired level of risk
 All points on the new efficient
frontier dominate the efficient
frontier without leverage
 Leverage obviates the need for the
manager to take on uncontrolled
beta risks to increase returns
 All points on the new efficient
frontier efficiently trade-off risk and
return
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Framework: Sourcing managers based on principles of edge, breadth, and
relative value reduces selection bias
Criteria Rationale
 Sustainable edge  Produces a positive expectancy (high information coefficient)
 Market inefficiency  Capacity-constrained strategy, untrafficked markets, structural
inefficiencies with un-economic buyers and sellers
 Large universe size  Increases breadth and scope for diversification
 High turnover  Implies greater breadth, liquidity, lessens MTM issues, and easier
to measure statistical significance
 Relative value / Strict
hedging
 Rewards alpha, avoids systematic risk. Minimize net directional
exposure
 Small position sizes  Risk profile consists of small (uncorrelated) idiosyncratic risks
Edge
Relative
Value
Breadth
Results in managers with attractive risk-adjusted and
uncorrelated returns
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Anatomy of a Statistical Arbitrage Model
The core components are the alpha signal, risk model, and portfolio construction
Hypothesis
Generation
Data
Prep
&
Analysis
Model
/
Rules
Specification
Refresh
Model
Parameters
Generate
Alpha
Signals
Refine
Signals
Signal
Weighting
Optimized
Portfolio
Goals &
Constraints
Risk Model
Implement
Portfolio
Existing
Positions
Security
Returns
Alpha Research Generate Signals Construct Portfolio Report
Active
Risk
Performance
Model Quality
Trade List
• What are the data inputs
into the model?
• What is the on-going
research process?
• How is the data cleansed?
• Outlier treatment?
• Is the model rules-based or is it a forecast?
• What is the functional form of the model(s)?
• What is the half-life of the model?
• What is the sampling procedure for the model?
• What is the signal weighting process?
• What is the utility function that is
optimized?
• How are transaction costs minimized?
• How is beta exposure minimized?
• What are the sector and risk exposure
over time?
•Return
attribution?
•Risk
attribution?
•Sample
reporting?
Marginal Risk
cut-offs
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Systems
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Anatomy of a Statistical Arbitrage Model
Take an evidence-based approach to assessing the manager
Outside the Blackbox
• Is the strategy based on faster information processing, liquidity provision, or risk premium
harvesting?
• What is the evidence showing the relationship between the inputs and the dependent
variable? Is the relationship time-varying? Why does the relationship exist?
• What environments does the model do best in (is it related to volatility, cross-sectional
dispersion, shocks, etc.)
Inside the Blackbox
• What is the choice of dependent variable and independent variables? What is the
functional form of the model (multiple regression, logistic, non-parametric, etc.)
• How is look-ahead bias avoided in the model generation process (i.e. walk-forwards, hold-
out population, etc.)
• What are the model performance statistics (R2, spearman correlation coefficient, hit-rate,
gains charts, etc.)?
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How HFT Works – 1. Liquidity provision (i.e. Bid-Ask spread & Rebate Capture)
HFT relies on low latency, queue positioning, and order routing to offer liquidity
Price
Nasdaq
T=1
Price
Nasdaq
T=2
Market sell orders
arrives (2 shares)
Price
• Orange has best
queue position in
inside bid, and 2nd
queue position on
inside ask
• A new market
order to sell 2
shares arrived
• Orange is filled
• A new market order
to buy 4 shares
arrives
• Orange is 2nd in
queue but still filled
Nasdaq
T=3
Market buy orders
arrives (4 shares)
Most HFTs run a market-
making strategy
They compete on time & price
to provide liquidity
As long as their buys and sells
are well simultaneously
matched, the HFT profit is :
(# of shares traded) * (ASKPrice – BidPrice)
The HFT bears inventory risk
while waiting to for both legs
of the trade to complete
HFTs experience adverse
selection (stuck holding
inventory that is moving
against them)
Strategy
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How HFT Works – 2. Arbitrage of prices across different trading venues
• HFT may also exploit mispricings across exchanges and dark pools, or differences in cash vs. futures markets
• Mispricings are caused by differing rates of information dissemination, as well as aggressive non-HFT trading
Nasdaq ARCA BATS-Y Edge-X
Price
Price
Price
Price
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How HFT Works – 3. Order Anticipation
• An HFT can exploit a poorly
designed execution algorithm
such as TWAP or VWAP
A large institutional buy
order divided is divided
into child orders to
minimize market impact (i.e.
TWAP algo)
100
shares
100
shares
100
shares
100
shares
100
shares
100
shares
100
shares
. . . . .
3:30:00 3:30:30 3:31:00 3:31:30 3:32:00 3:32:30 4:00:00
• The HFT will rapidly
cancel standing sell-limit
orders to avoid the
inventory risk
• The HFT can compete
aggressively and take liquidity
or “pre-position” ahead of
orders
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HFT Due Diligence – Check that the manager has appropriate portfolio & trade-
level risk checks to avoid “fat finger” mistakes
• Pre-trade risk validations
• Max buying power per symbol
• Max notional value per order
• Max loss per account
• Auto cancel thresholds
• Maximum order size
• Maximum position size
• P&L loss thresholds
• Short checking
• Odd lot allowances / restrictions
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Due Diligence Checklist - Organize your quant diligence efforts around edge,
breadth, and risk in addition to your standard diligence procedures
Edge
• How latency sensitive is the strategy?
• Is the average return-per-trade compressing as a function of time? Has the alpha model decayed over time?
• Return attribution – liquidity providing vs. taking? Rebate capture? Losses to slippage?
• What technology is driving the latency advantage? How much cap-ex is required?
• Co-location, FPGA, Dark-fiber, Microwave, Laser
Breadth / Universe
• Number of strategies?
• Number of symbols traded? Trades per day? Turnover? Average holding period?
Risk / Hedging
• What portfolio & trade-level risk checks are in place?
• What hedging procedures are used to minimize market exposure?
• Analyze anomalies in the daily returns provided by an independent administrator
• Is there any auto-correlation in the daily or monthly returns?
• Do trade statements confirm the stated strategy?
• What failover processes are in place in case the software, hardware, or network layer fail?
• Performance during key events (Aug 2007, Lehman failure, Oct ’11 Knight incident, flash crash, etc.)
• How does the strategy perform over various environments (levels of VIX, financial distress, etc.)?
• Drawdown analysis
• Overnight risk?
• How is leverage managed?
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Quantitative analysis - Request the following information from the manager (in
addition to your traditional due diligence request)
Risk Reporting
• Time-series of daily returns furnished by administrator
• Broker-provided trade statements for select periods showing rebates & transaction details
• Return attribution – by strategy, asset class, long/short, sector
• Risk decomposition
• Time-series reports: sector weights, net directional exposure, rolling analysis
• Correlation analyses (up/down capture days, scatter plots vs. risk index, etc.)
Rolling Sharpe Ratio analysis
Over-under Analysis vs. Primary Risk Index
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Quantitative analysis - Daily returns can generate a wealth of reporting and
reveal how the strategy performs during periods of market stress
Distribution of Returns
Plot of manager returns vs. Benchmark sorting from worst-to-best
Benchmark
Manager
Reporting
Control charts
Risk statistics
VaR / CVaR analysis
Performance statistics
CAPM statistics
Up-down capture ratios
Distribution of returns
Leverage over time
Sector-weights over time
Rolling sharpe ratio analysis
Drawdown recovery speeds
Conditional correlation test
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Qualitative analysis - strategy descriptions in the manager’s marketing materials
can reveal strengths or points of concern
Manager Statements Consistent w/ Framework Manager Statements Inconsistent w/ Framework
Manager A – Global Macro
• “…models monitor global financial markets in
search of securities with absolute or relative prices
that appear inconsistent with their fundamental
value”
• “Dislocations tend to arise as large, institutional
flows dominate price action… flows are often driven
by non-economic motivations such as differing
laws, regulations, and investment objectives”
Manager C – L/S Equity and credit
• “Search for asset classes and to identify attractive
value investment that are consistent with our
economic outlook”
• “Concentrate capital – good ideas are hard to
find – make them meaningful”
• “Downside protection – buy portfolio and tail
insurance to protect against systemic risk when
risk is mispriced”
Manager B – CTA
• “Our short-term mean reversion market neutral
model trades spreads rather than the outright
markets for two reasons - a) they possess a lot
more mean-reversion than their individual
constituents, and b) they have “better” risk
properties (less tail risk)”
• “Trading frequency is from minutes to several
days”
Manager D – Systematic Options Trader
• “Strategy designed to profit from implied vol
changes and/or implied vs. realized vol
differentials”
• “Common trades include long straddles /
strangles, long calendar spreads, skew trades”
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Case-Study: Quantitative Option Volatility Trader
Would you invest in this manager?
Strategy
− Edge: Net seller of option premium - more than
80% of options expires worthless and there are
no natural sellers
− Breadth: 50 most liquid global options (liquid
front-month contracts) on equity indices,
commodities, interest rates, and FX
− Relative value: Long/short volatility
Risk management
− Delta-neutral
− Each position < 2%. Stop loss at 15% drawdown
− Diversified by asset class, geography, option
maturity, and option strike
Summary
% Q1 Q2 Q3 Q4 YTD +/- S&P
2005 6.47 4.85 3.05 -.37 14.7 8.0
2006 4.95 -3.21 3.71 6.61 12.06 3.95
2007 .93 6.46 -.25 5.17 12.31 12.34
Performance
Trades positive = 80%
Months positive = 85%
Max drawdown = 7%
Correlation to SPX: .28
Correlation to Vix: (.26)
Sharpe ratio > 2.2
High turnover = 12x
Out-performs S&P 500 each year since inception
(2004)
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Case-Study: Quantitative Option Volatility Trader
The manager experienced severe losses in 2008
Summary
% Q1 Q2 Q3 Q4 YTD +/- S&P
2005 6.47 4.85 3.05 -.37 14.7 8.0
2006 4.95 -3.21 3.71 6.61 12.06 3.95
2007 .93 6.46 -.25 5.17 12.31 12.34
Performance
Trades positive = 80%
Months positive = 85%
Max drawdown = 7%
Correlation to SPX: .28
Correlation to Vix: (.26)
Sharpe ratio > 2.2
High turnover = 12x
Out-performs S&P 500 each year
Daily returns show
strategy has a
conditional correlation to
S&P
Strategy
− Edge: Net seller of option premium - more than
80% of options expires worthless and there are
no natural sellers
− Breadth: 50 most liquid global options (liquid
front-month contracts) on equity indices,
commodities, interest rates, and FX
− Relative value: Long/short volatility
Risk management
− Delta-neutral
− Each position < 2%. Stop loss at 15% drawdown
− Diversified by asset class, geography, option
maturity, and option strike
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Case-Study: High-Frequency trading strategy
Would you invest in this manager?
 Strategy
− Edge: 25 factors include price, volume, sentiment,
option activity, cash flow, quality. Each factor has
a T-statistic of 3.0 and Sharpe ratio > 1
− Average return .6 bps (< .01 / share)
 Breadth:
− Universe of 3,200 equities. Multiple strategies
(index re-balancing, corporate actions,
momentum, etc.)
− 500 to 600 positions at a time. Holding period 0 to
25 days / 700 trades per day
 RV & Risk control: Market-neutral, positions < .5%
Summary Performance
Days positive = 68%, Months positive = 92%
Max drawdown = 2%
Sharpe ratio ranges from 4 to 8
Extremely high turnover
Due Diligence notes
− Co-located at exchange
− Uses risk model to hedge out systematic risk
− Performs better during higher-volatility
% Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec YTD
2011 16.1 22.6 8.6 2.8 4.0 5.8 7.4 7.7 6.1 9.8 1.6 -1.2 91.2
2012 -.8 5.9 4.0 2.4 1.4 1.6 .6 3.3 3.4 2.2 4.6 2.8 31.4
Monthly Returns
Returns appear to
be declining – is it
the strategy or
environment?
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Portfolio Construction
Low-Vol
environment
Risk-Off Risk-On
 Some equity hedged strategies underperform
during financial distress (ex: ‘merger arbitrage’).
These and other strategies are implicitly short
volatility
− Rationale: The spread between take-over
price and traded price widens as the cost-
of-capital increases, and leverage available
decreases
 Other strategies are implicitly long volatility
– they perform better when there is dislocation
and panic (i.e. HFT, time-zone arbitrage, global
macro, etc.)
 Successful portfolio construction requires
blending managers in a balanced way
 Avoid mean-variance optimization since
correlations are time-varying
 Consider risk-based weighting or robust
optimization so that no single manager
dominates the return signal
Key Points
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Lessons Learned
 The quants universe is highly differentiated
 The Fundamental Law of Active Management provides a framework for assessing a manager’s
value-added in terms of edge & breadth. This also avoids selection bias by starting with first
principles rather than merely screening for high sharpe ratio strategies
 Quants have a variety of sustainable edges – structural inefficiencies, faster information
processing, or transacting with distressed buyers/sellers
 A relative value approach where systematic risk is hedged out, the manager has a positive
expectancy, and no single trade dominates produces attractive risk-adjusted returns
 The core components to evaluate in a statistical arbitrage model are the alpha model, risk model,
and portfolio construction process
 HFTs generate returns thru market-making, arbitraging across trading venues, and order
anticipation
 Combine quantitative & qualitative analysis to build a portfolio of high-performing managers
Winged Foot Capital
Winged Foot Capital
- 26 -
Q & A
Winged Foot Capital
Winged Foot Capital
- 27 -
Market Timing – A Choose Your Own Adventure game
• A nuclear
state
(Russia) will
never
default
• We are in
a Dotcom
Bubble
• We are in
a New
Economy
• Bet on
housing
boom
• Short dollar
• “Subprime is
contained”
• Buy
legacy
CDOs
• BAC is too
big to fail (but
not LEH)
• We are in a
central bank
driven
reflationary
cycle
• We are in a
deleveraging
cycle
• Emerging
markets
have
contagion
risk
• Short
Japanese
bonds
?
?
• We are in a
“New
Normal”
?

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20130417 - Winged Foot Capital - How to diligence a quant strategy_d2.pdf

  • 1. Winged Foot Capital, LLC Winged Foot Capital How to diligence a quant strategy Ram Ahluwalia, CFA
  • 2. Winged Foot Capital Winged Foot Capital - 1 - Disclosures This report is not directed to, or intended for distribution to or use by, any person or entity who is a citizen or resident of or located in any locality, state, country or other jurisdiction where such distribution, publication, availability or use would be contrary to law or regulation or which would subject Winged Foot Capital LLC (“WFC”) to any registration or licensing requirement within such jurisdiction. All material presented in this report, unless specifically indicated otherwise, is under copyright to WFC. None of the material, nor its content, nor any copy of it, may be altered in any way, transmitted to, copied or distributed to any other party, without the prior express written permission of WFC. All trademarks, service marks and logos used in this report are trademarks or service marks or registered trademarks or service marks of WFC or its affiliates. The information, tools and material presented in this report are provided to you for information purposes only and are not to be used or considered as an offer or the solicitation of an offer to sell or to buy or subscribe for securities or other financial instruments. WFC may not have taken any steps to ensure that the securities referred to in this report are suitable for any particular investor. WFC will not treat recipients as its customers by virtue of their receiving the report. The investments or services contained or referred to in this report may not be suitable for you and it is recommended that you consult an independent investment advisor if you are in doubt about such investments or investment services. Nothing in this report constitutes investment, legal, accounting or tax advice or a representation that any investment or strategy is suitable or appropriate to your individual circumstances or otherwise constitutes a personal recommendation to you. WFC does not offer advice on the tax consequences of investment and you are advised to contact an independent tax adviser. Please note in particular that the bases and levels of taxation may change. WFC believes the information and opinions in the Disclosure Appendix of this report are accurate and complete. Information and opinions presented in the other sections of the report were obtained or derived from sources WFC believes are reliable, but WFC makes no representations as to their accuracy or completeness. Additional information is available upon request. WFC accepts no liability for loss arising from the use of the material presented in this report, except that this exclusion of liability does not apply to the extent that liability arises under specific statutes or regulations applicable to WFC. This report is not to be relied upon in substitution for the exercise of independent judgment. WFC may have issued, and may in the future issue, a trading call regarding this security. Trading calls are short term trading opportunities based on market events and catalysts, while stock ratings reflect investment recommendations based on expected total return over a 12-month period as defined in the disclosure section. Because trading calls and stock ratings reflect different assumptions and analytical methods, trading calls may differ directionally from the stock rating. In addition, WFC may have issued, and may in the future issue, other reports that are inconsistent with, and reach different conclusions from, the information presented in this report. Those reports reflect the different assumptions, views and analytical methods of the analysts who prepared them and WFC is under no obligation to ensure that such other reports are brought to the attention of any recipient of this report. Past performance should not be taken as an indication or guarantee of future performance, and no representation or warranty, express or implied, is made regarding future performance. Information, opinions and estimates contained in this report reflect a judgment at its original date of publication by WFC and are subject to change without notice. The price, value of and income from any of the securities or financial instruments mentioned in this report can fall as well as rise. The value of securities and financial instruments is subject to exchange rate fluctuation that may have a positive or adverse effect on the price or income of such securities or financial instruments. Investors in securities such as ADR’s, the values of which are influenced by currency volatility, effectively assume this risk. Structured securities are complex instruments, typically involve a high degree of risk and are intended for sale only to sophisticated investors who are capable of understanding and assuming the risks involved. The market value of any structured security may be affected by changes in economic, financial and political factors (including, but not limited to, spot and forward interest and exchange rates), time to maturity, market conditions and volatility, and the credit quality of any issuer or reference issuer. Any investor interested in purchasing a structured product should conduct their own investigation and analysis of the product and consult with their own professional advisers as to the risks involved in making such a purchase. Some investments discussed in this report have a high level of volatility. High volatility investments may experience sudden and large falls in their value causing losses when that investment is realised. Those losses may equal your original investment. Indeed, in the case of some investments the potential losses may exceed the amount of initial investment, in such circumstances you may be required to pay more money to support those losses. Income yields from investments may fluctuate and, in consequence, initial capital paid to make the investment may be used as part of that income yield. Some investments may not be readily realisable and it may be difficult to sell or realize those investments, similarly it may prove difficult for you to obtain reliable information about the value, or risks, to which such an investment is exposed. This report may provide the addresses of, or contain hyperlinks to, websites. Except to the extent to which the report refers to website material of WFC, WFC has not reviewed the linked site and takes no responsibility for the content contained therein. Such address or hyperlink (including addresses or hyperlinks to WFC’s own website material) is provided solely for your convenience and information and the content of the linked site does not in any way form part of this document. Accessing such website or following such link through this report or WFC’s website shall be at your own risk. This report is being distributed in the United States by Winged Foot Capital LLC. In jurisdictions where WFC is not already registered or licensed to trade in securities, transactions will only be effected in accordance with applicable securities legislation, which will vary from jurisdiction to jurisdiction and may require that the trade be made in accordance with applicable exemptions from registration or licensing requirements. Non-U.S. customers wishing to effect a transaction should contact a WFC entity in their local jurisdiction unless governing law permits otherwise. Recipients who are not market professional or institutional investor customers of WFC should seek the advice of their independent financial advisor prior to taking any investment decision based on this report or for any necessary explanation of its contents. This research may relate to investments or services of a person outside of the UK or to other matters which are not regulated by the FSA or in respect of which the protections of the FSA for private customers and/or the UK compensation scheme may not be available, and further details as to where this may be the case are available upon request in respect of this report. This report does not constitute investment advice by WFC to the clients of the distributing financial institution, and neither WFC, its affiliates, and their respective officers, directors and employees accept any liability whatsoever for any direct or consequential loss arising from their use of this report or its content. Copyright 2012 Winged Foot Capital LLC. All rights reserved.
  • 3. Winged Foot Capital Winged Foot Capital - 2 - Motivation
  • 4. Winged Foot Capital Winged Foot Capital - 3 - Agenda  Framework − What is the right framework for evaluating quantitative investment strategies? − How do you evaluate a manager that is reluctant to open the blackbox? − Is the manager generating alpha, a risk premium, or simply lucky?  Nuts & Bolts − What is the anatomy of a statistical arbitrage and HFT strategy? − What are the tools and practical tips you need to know?  Applied Case Studies − Volatility Trading & a High Frequency Trader
  • 5. Winged Foot Capital Winged Foot Capital - 4 - Framework: Quant strategies are highly differentiated in sources of risk and return Strategy Beta Exotic Beta Factor models Market (Risk)- Neutral HFT Example • 60/40 equities and fixed income • HF replication • Endowment-style investing • Risk parity • Long value, short growth • Equity market- neutral • Market-making Return sources • Risk premium • Risk premiums − Equity market − Credit / spreads − Currency − Volatility − Duration • Factor timing • Factor risks: − Value − Momentum − Mean reversion − Size − Quality • Liquidity provision • Information dissemination • Arbitrage • Bid-ask spread capture • Order anticipation • Rebate capture Risk • Systematic • Systematic (diversified) • Factor risk • Idiosyncratic • Idiosyncratic Horizon • Many years • Quarters to years • Days to months • Days to weeks • Seconds to intraday Sharpe Ratios • -.3 to .3 • .5 to 1.5 • .5 to 3 • 1 to 3 • 5 to 15 Return/Trade • -50% to 50% • -25% to 25% • Up to 5% • Up to 250 bps • 10 mils to 10 bps Capacity • High • High • Medium • Low • Very low Ann. Turnover • < 1x • 1 to 2x • 1 to 5x • 1 to 250x • 250x & beyond Fees • Low • Low • Medium • Medium • High
  • 6. Winged Foot Capital Winged Foot Capital - 5 - Framework: The Fundamental Law of Active Management Ex-Ante manager value-added is the product of the manager’s skill & breadth  Published by Richard Grinold*  The Fundamental Law of Active Management relates 3 variables: Information Ratio (IR), Skill (IC), and Breadth  Lay interpretation: A manager’s performance is based on of their batting average, and how many times they get at bat  Some manager’s may be lucky so we want to decompose the manager’s performance using the right-hand side of the equation See “Active Portfolio Management”, 2nd. Edition for more information 𝐼𝑅 = 𝐼𝐶 ∗ 𝐵𝑟𝑒𝑎𝑑𝑡ℎ  Breadth Increases − # of independent bets − size of the universe − short-term horizons − and number of strategies  Skill / Edge is measured quantitatively & qualitatively  Information Ratio (IR) measures the manager’s value-added. IR > 1.0 is considered top-decile
  • 7. Winged Foot Capital Winged Foot Capital - 6 - Skills can be measured qualitatively. Quants may exploit a structural inefficiency, process information faster, or offer liquidity to distressed buyers/sellers Qualitative Examples Description • Time-Zone Arbitrage • Fund domiciled in one time-zone allows purchases/sales at a fixed price at end of trading day in local market, while reference basket is still trading in foreign market • Opening & Closing auction inefficiencies • Market rules and order imbalances can create small arbitrage opportunities for nimble players • FX market making • Market maker “last look” rule offers right to reject trade rather than provide liquidity • Internalization engines / Dark pools • Market makers inside internalizations engine have first-look at all order flow and can route undesirable order flow to an exchange, or “pre-position” ahead of client orders • Insurance underwriting • Un-economically motivated buyers & sellers willing to take on negative expected value trades • Distressed sellers / buyers • Sellers demanding liquidity sell at discounts to fair value (ex: TARP auctions). Buyers seeking safety pay premiums to fair value (ex: T-bills trading above par during Oct ‘08) • Fund structure arbitrage • Fund structure mandates create inefficiencies in the “crossover” market between investment & high-yield debt • OAS spread capture • Firms with deep pre-payment and credit modeling capabilities can capture an option-adjusted spread embedded in RMBS • Embedded options • Embedded options (ex: survivor’s options in life insurance, trigger options in structured credit, or the option-adjusted spread in RMBS) can be mispriced • Analytics • Opaque and complex securities such as structured credit are difficult for most players to value accurately • Latency • Superior speed allows some nimbler firms to minimize adverse selection and market-make or arbitrage more aggressively
  • 8. Winged Foot Capital Winged Foot Capital - 7 - Framework: A relative value approach (i.e. hedging) is critical to controlling exposure to risk factors and maximizing risk-adjusted returns 𝜇𝑚𝑎𝑛𝑎𝑔𝑒𝑟 − 𝑟𝑓 𝜎 Ex-post Sharpe ratio: w ∗ ∝ − 𝑟𝑓 wΣw𝑇 Ex-ante Sharpe ratio is maximized by solving for weights in an optimizer  The ex-post sharpe ratio is measured using the manger’s realized time-series of returns  A quant seeks to maximize their ex-ante Sharpe ratio based on their expectations of security returns  Turns out that is considerably easier to model risk (i.e. the correlation and volatility relationships across securities) that it is to estimate expected returns  Therefore minimizing the risk exposures in a strategy is a substantially easier way to improve the sharpe ratio  Look for managers that have zero net directional exposure (i.e. dollar-neutral, beta-neutral, factor-neutral, style neutral) w: ∝: rf: Σ: weight alpha Risk-free rate Risk model (covariance matrix)
  • 9. Winged Foot Capital Winged Foot Capital - 8 - Framework: Managers that strictly control their beta exposures tend to have muted returns without leverage Expected Portfolio Return Risk 𝜎 Manager’s efficient frontier without leverage B: Manager’s highest sharpe A: Manager without risk hedging Key Points  Beta’s such as the equity risk premium, credit risk, volatility risk, or interest rate offer high long-run expected returns for passive investors  Betas are difficult to predict and cheap to own (why pay 2/20 for exposure to them?)  Manager can choose point A which has higher returns for taking uncontrolled systematic risks  Manager can choose point B which hedges out residual beta risks and has a high risk-adjusted performance, however, their returns are relatively muted  Manager can choose to operate higher on the efficient frontier but they sacrifice risk-adjusted performance
  • 10. Winged Foot Capital Winged Foot Capital - 9 - Framework: Leverage allows the manager to operate on a new efficient frontier that efficiently trades-off risk and return Expected Portfolio Return Risk 𝜎 Manager’s new efficient frontier with leverage B: Manager’s highest sharpe A: Manager without risk hedging Key Points  Leverage allows a manager to maximize both risk-adjusted returns and calibrate to an investor’s desired level of risk  All points on the new efficient frontier dominate the efficient frontier without leverage  Leverage obviates the need for the manager to take on uncontrolled beta risks to increase returns  All points on the new efficient frontier efficiently trade-off risk and return
  • 11. Winged Foot Capital Winged Foot Capital - 10 - Framework: Sourcing managers based on principles of edge, breadth, and relative value reduces selection bias Criteria Rationale  Sustainable edge  Produces a positive expectancy (high information coefficient)  Market inefficiency  Capacity-constrained strategy, untrafficked markets, structural inefficiencies with un-economic buyers and sellers  Large universe size  Increases breadth and scope for diversification  High turnover  Implies greater breadth, liquidity, lessens MTM issues, and easier to measure statistical significance  Relative value / Strict hedging  Rewards alpha, avoids systematic risk. Minimize net directional exposure  Small position sizes  Risk profile consists of small (uncorrelated) idiosyncratic risks Edge Relative Value Breadth Results in managers with attractive risk-adjusted and uncorrelated returns
  • 12. Winged Foot Capital Winged Foot Capital Anatomy of a Statistical Arbitrage Model The core components are the alpha signal, risk model, and portfolio construction Hypothesis Generation Data Prep & Analysis Model / Rules Specification Refresh Model Parameters Generate Alpha Signals Refine Signals Signal Weighting Optimized Portfolio Goals & Constraints Risk Model Implement Portfolio Existing Positions Security Returns Alpha Research Generate Signals Construct Portfolio Report Active Risk Performance Model Quality Trade List • What are the data inputs into the model? • What is the on-going research process? • How is the data cleansed? • Outlier treatment? • Is the model rules-based or is it a forecast? • What is the functional form of the model(s)? • What is the half-life of the model? • What is the sampling procedure for the model? • What is the signal weighting process? • What is the utility function that is optimized? • How are transaction costs minimized? • How is beta exposure minimized? • What are the sector and risk exposure over time? •Return attribution? •Risk attribution? •Sample reporting? Marginal Risk cut-offs - 11 - Systems
  • 13. Winged Foot Capital Winged Foot Capital - 12 - Anatomy of a Statistical Arbitrage Model Take an evidence-based approach to assessing the manager Outside the Blackbox • Is the strategy based on faster information processing, liquidity provision, or risk premium harvesting? • What is the evidence showing the relationship between the inputs and the dependent variable? Is the relationship time-varying? Why does the relationship exist? • What environments does the model do best in (is it related to volatility, cross-sectional dispersion, shocks, etc.) Inside the Blackbox • What is the choice of dependent variable and independent variables? What is the functional form of the model (multiple regression, logistic, non-parametric, etc.) • How is look-ahead bias avoided in the model generation process (i.e. walk-forwards, hold- out population, etc.) • What are the model performance statistics (R2, spearman correlation coefficient, hit-rate, gains charts, etc.)?
  • 14. Winged Foot Capital Winged Foot Capital - 13 - How HFT Works – 1. Liquidity provision (i.e. Bid-Ask spread & Rebate Capture) HFT relies on low latency, queue positioning, and order routing to offer liquidity Price Nasdaq T=1 Price Nasdaq T=2 Market sell orders arrives (2 shares) Price • Orange has best queue position in inside bid, and 2nd queue position on inside ask • A new market order to sell 2 shares arrived • Orange is filled • A new market order to buy 4 shares arrives • Orange is 2nd in queue but still filled Nasdaq T=3 Market buy orders arrives (4 shares) Most HFTs run a market- making strategy They compete on time & price to provide liquidity As long as their buys and sells are well simultaneously matched, the HFT profit is : (# of shares traded) * (ASKPrice – BidPrice) The HFT bears inventory risk while waiting to for both legs of the trade to complete HFTs experience adverse selection (stuck holding inventory that is moving against them) Strategy
  • 15. Winged Foot Capital Winged Foot Capital - 14 - How HFT Works – 2. Arbitrage of prices across different trading venues • HFT may also exploit mispricings across exchanges and dark pools, or differences in cash vs. futures markets • Mispricings are caused by differing rates of information dissemination, as well as aggressive non-HFT trading Nasdaq ARCA BATS-Y Edge-X Price Price Price Price
  • 16. Winged Foot Capital Winged Foot Capital How HFT Works – 3. Order Anticipation • An HFT can exploit a poorly designed execution algorithm such as TWAP or VWAP A large institutional buy order divided is divided into child orders to minimize market impact (i.e. TWAP algo) 100 shares 100 shares 100 shares 100 shares 100 shares 100 shares 100 shares . . . . . 3:30:00 3:30:30 3:31:00 3:31:30 3:32:00 3:32:30 4:00:00 • The HFT will rapidly cancel standing sell-limit orders to avoid the inventory risk • The HFT can compete aggressively and take liquidity or “pre-position” ahead of orders
  • 17. Winged Foot Capital Winged Foot Capital - 16 - HFT Due Diligence – Check that the manager has appropriate portfolio & trade- level risk checks to avoid “fat finger” mistakes • Pre-trade risk validations • Max buying power per symbol • Max notional value per order • Max loss per account • Auto cancel thresholds • Maximum order size • Maximum position size • P&L loss thresholds • Short checking • Odd lot allowances / restrictions
  • 18. Winged Foot Capital Winged Foot Capital - 17 - Due Diligence Checklist - Organize your quant diligence efforts around edge, breadth, and risk in addition to your standard diligence procedures Edge • How latency sensitive is the strategy? • Is the average return-per-trade compressing as a function of time? Has the alpha model decayed over time? • Return attribution – liquidity providing vs. taking? Rebate capture? Losses to slippage? • What technology is driving the latency advantage? How much cap-ex is required? • Co-location, FPGA, Dark-fiber, Microwave, Laser Breadth / Universe • Number of strategies? • Number of symbols traded? Trades per day? Turnover? Average holding period? Risk / Hedging • What portfolio & trade-level risk checks are in place? • What hedging procedures are used to minimize market exposure? • Analyze anomalies in the daily returns provided by an independent administrator • Is there any auto-correlation in the daily or monthly returns? • Do trade statements confirm the stated strategy? • What failover processes are in place in case the software, hardware, or network layer fail? • Performance during key events (Aug 2007, Lehman failure, Oct ’11 Knight incident, flash crash, etc.) • How does the strategy perform over various environments (levels of VIX, financial distress, etc.)? • Drawdown analysis • Overnight risk? • How is leverage managed?
  • 19. Winged Foot Capital Winged Foot Capital - 18 - Quantitative analysis - Request the following information from the manager (in addition to your traditional due diligence request) Risk Reporting • Time-series of daily returns furnished by administrator • Broker-provided trade statements for select periods showing rebates & transaction details • Return attribution – by strategy, asset class, long/short, sector • Risk decomposition • Time-series reports: sector weights, net directional exposure, rolling analysis • Correlation analyses (up/down capture days, scatter plots vs. risk index, etc.) Rolling Sharpe Ratio analysis Over-under Analysis vs. Primary Risk Index
  • 20. Winged Foot Capital Winged Foot Capital - 19 - Quantitative analysis - Daily returns can generate a wealth of reporting and reveal how the strategy performs during periods of market stress Distribution of Returns Plot of manager returns vs. Benchmark sorting from worst-to-best Benchmark Manager Reporting Control charts Risk statistics VaR / CVaR analysis Performance statistics CAPM statistics Up-down capture ratios Distribution of returns Leverage over time Sector-weights over time Rolling sharpe ratio analysis Drawdown recovery speeds Conditional correlation test
  • 21. Winged Foot Capital Winged Foot Capital - 20 - Qualitative analysis - strategy descriptions in the manager’s marketing materials can reveal strengths or points of concern Manager Statements Consistent w/ Framework Manager Statements Inconsistent w/ Framework Manager A – Global Macro • “…models monitor global financial markets in search of securities with absolute or relative prices that appear inconsistent with their fundamental value” • “Dislocations tend to arise as large, institutional flows dominate price action… flows are often driven by non-economic motivations such as differing laws, regulations, and investment objectives” Manager C – L/S Equity and credit • “Search for asset classes and to identify attractive value investment that are consistent with our economic outlook” • “Concentrate capital – good ideas are hard to find – make them meaningful” • “Downside protection – buy portfolio and tail insurance to protect against systemic risk when risk is mispriced” Manager B – CTA • “Our short-term mean reversion market neutral model trades spreads rather than the outright markets for two reasons - a) they possess a lot more mean-reversion than their individual constituents, and b) they have “better” risk properties (less tail risk)” • “Trading frequency is from minutes to several days” Manager D – Systematic Options Trader • “Strategy designed to profit from implied vol changes and/or implied vs. realized vol differentials” • “Common trades include long straddles / strangles, long calendar spreads, skew trades”
  • 22. Winged Foot Capital Winged Foot Capital - 21 - Case-Study: Quantitative Option Volatility Trader Would you invest in this manager? Strategy − Edge: Net seller of option premium - more than 80% of options expires worthless and there are no natural sellers − Breadth: 50 most liquid global options (liquid front-month contracts) on equity indices, commodities, interest rates, and FX − Relative value: Long/short volatility Risk management − Delta-neutral − Each position < 2%. Stop loss at 15% drawdown − Diversified by asset class, geography, option maturity, and option strike Summary % Q1 Q2 Q3 Q4 YTD +/- S&P 2005 6.47 4.85 3.05 -.37 14.7 8.0 2006 4.95 -3.21 3.71 6.61 12.06 3.95 2007 .93 6.46 -.25 5.17 12.31 12.34 Performance Trades positive = 80% Months positive = 85% Max drawdown = 7% Correlation to SPX: .28 Correlation to Vix: (.26) Sharpe ratio > 2.2 High turnover = 12x Out-performs S&P 500 each year since inception (2004)
  • 23. Winged Foot Capital Winged Foot Capital - 22 - Case-Study: Quantitative Option Volatility Trader The manager experienced severe losses in 2008 Summary % Q1 Q2 Q3 Q4 YTD +/- S&P 2005 6.47 4.85 3.05 -.37 14.7 8.0 2006 4.95 -3.21 3.71 6.61 12.06 3.95 2007 .93 6.46 -.25 5.17 12.31 12.34 Performance Trades positive = 80% Months positive = 85% Max drawdown = 7% Correlation to SPX: .28 Correlation to Vix: (.26) Sharpe ratio > 2.2 High turnover = 12x Out-performs S&P 500 each year Daily returns show strategy has a conditional correlation to S&P Strategy − Edge: Net seller of option premium - more than 80% of options expires worthless and there are no natural sellers − Breadth: 50 most liquid global options (liquid front-month contracts) on equity indices, commodities, interest rates, and FX − Relative value: Long/short volatility Risk management − Delta-neutral − Each position < 2%. Stop loss at 15% drawdown − Diversified by asset class, geography, option maturity, and option strike
  • 24. Winged Foot Capital Winged Foot Capital - 23 - Case-Study: High-Frequency trading strategy Would you invest in this manager?  Strategy − Edge: 25 factors include price, volume, sentiment, option activity, cash flow, quality. Each factor has a T-statistic of 3.0 and Sharpe ratio > 1 − Average return .6 bps (< .01 / share)  Breadth: − Universe of 3,200 equities. Multiple strategies (index re-balancing, corporate actions, momentum, etc.) − 500 to 600 positions at a time. Holding period 0 to 25 days / 700 trades per day  RV & Risk control: Market-neutral, positions < .5% Summary Performance Days positive = 68%, Months positive = 92% Max drawdown = 2% Sharpe ratio ranges from 4 to 8 Extremely high turnover Due Diligence notes − Co-located at exchange − Uses risk model to hedge out systematic risk − Performs better during higher-volatility % Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec YTD 2011 16.1 22.6 8.6 2.8 4.0 5.8 7.4 7.7 6.1 9.8 1.6 -1.2 91.2 2012 -.8 5.9 4.0 2.4 1.4 1.6 .6 3.3 3.4 2.2 4.6 2.8 31.4 Monthly Returns Returns appear to be declining – is it the strategy or environment?
  • 25. Winged Foot Capital Winged Foot Capital - 24 - Portfolio Construction Low-Vol environment Risk-Off Risk-On  Some equity hedged strategies underperform during financial distress (ex: ‘merger arbitrage’). These and other strategies are implicitly short volatility − Rationale: The spread between take-over price and traded price widens as the cost- of-capital increases, and leverage available decreases  Other strategies are implicitly long volatility – they perform better when there is dislocation and panic (i.e. HFT, time-zone arbitrage, global macro, etc.)  Successful portfolio construction requires blending managers in a balanced way  Avoid mean-variance optimization since correlations are time-varying  Consider risk-based weighting or robust optimization so that no single manager dominates the return signal Key Points
  • 26. Winged Foot Capital Winged Foot Capital - 25 - Lessons Learned  The quants universe is highly differentiated  The Fundamental Law of Active Management provides a framework for assessing a manager’s value-added in terms of edge & breadth. This also avoids selection bias by starting with first principles rather than merely screening for high sharpe ratio strategies  Quants have a variety of sustainable edges – structural inefficiencies, faster information processing, or transacting with distressed buyers/sellers  A relative value approach where systematic risk is hedged out, the manager has a positive expectancy, and no single trade dominates produces attractive risk-adjusted returns  The core components to evaluate in a statistical arbitrage model are the alpha model, risk model, and portfolio construction process  HFTs generate returns thru market-making, arbitraging across trading venues, and order anticipation  Combine quantitative & qualitative analysis to build a portfolio of high-performing managers
  • 27. Winged Foot Capital Winged Foot Capital - 26 - Q & A
  • 28. Winged Foot Capital Winged Foot Capital - 27 - Market Timing – A Choose Your Own Adventure game • A nuclear state (Russia) will never default • We are in a Dotcom Bubble • We are in a New Economy • Bet on housing boom • Short dollar • “Subprime is contained” • Buy legacy CDOs • BAC is too big to fail (but not LEH) • We are in a central bank driven reflationary cycle • We are in a deleveraging cycle • Emerging markets have contagion risk • Short Japanese bonds ? ? • We are in a “New Normal” ?