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Clarendon Lectures in Finance:
The Adaptive Markets Hypothesis
© 2013 by Andrew W. Lo All Rights Reserved
Andrew W. Lo, MIT
Lecture 3: Hedge Funds—The Galapagos Islands of Finance
June 14, 2013
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Clarendon What Are Hedge Funds?
Unregulated Investment Companies For “qualified” (sophisticated) investors
Need not satisfy regulatory requirements (few investment constraints)
High fees, high performance (historically), and high attrition
Alfred Winslow Jones First “hedge fund” in 1949 (market exposure vs. stock selection):
Magnify stock selection (leverage). reduce market exposure (short positions)
Hence the term “hedge”
Charged 20% incentive fee
Eventually included several managers (fund of funds)
M ar k e t E x p o su r e =L o n g P o si t io n ¡ S h o r t P o si t io n
C a p i t a l
© 2013 by Andrew W. Lo
All Rights Reserved
Page 2 Lecture 3
Clarendon What Are Hedge Funds?
Why Should We Care About Hedge Funds?
Hedge funds play a key role in the financial industry – During normal times, hedge funds are the “tip of the spear”
– During bad times, hedge funds are the “canary in the coalmine”
As unregulated entities, hedge funds innovate rapidly
Due to leverage, hedge funds have disproportionate impact on markets
Investors in hedge funds include: – Private investors – Fund of funds – Central banks and sovereign wealth funds – Insurance companies – Pension funds
© 2013 by Andrew W. Lo
All Rights Reserved
Page 3 Lecture 3
Clarendon What Are Hedge Funds?
Hedge Funds Are The “Galapagos Islands” of Finance
Relatively low barriers to entry and exit
High levels of compensation (stakes are high)
Competition and adaptation are extreme
New “species” are coming and going constantly
Strategies wax and wane over time:
– Credit strategies are waxing
– Dedicated short bias is waning
Empirical evidence for Adaptive Markets Hypothesis
© 2013 by Andrew W. Lo
All Rights Reserved
Page 4 Lecture 3
Clarendon Dynamics of the Hedge Fund Industry
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Page 5
Number of fund launches 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
All Funds 499 570 610 646 662 793 850 1257 1472 1732 2139 2194 2372 2235 1880 1880 1370
CTA 111 111 72 64 64 66 34 54 54 53 43 51 39 58 54 48 60
ConvertibleArbitrage 16 10 23 14 20 14 24 33 34 24 32 21 19 16 11 14 18
DedicatedShortBias 3 1 4 4 1 8 3 1 1 4 4 7 3 9 4 1 5
EmergingMarkets 27 38 34 55 39 45 36 21 26 58 92 134 140 156 138 112 74
EquityMarketNeutral 12 12 17 21 36 49 25 68 78 79 85 81 72 87 54 48 28
EventDriven 25 38 42 45 43 48 67 76 97 76 96 69 101 63 41 51 44
FixedIncomeArbitrage 18 14 20 17 23 16 22 39 49 55 57 52 42 30 18 38 41
FundofFunds 106 121 120 145 168 207 275 492 602 725 920 902 995 821 720 873 572
GlobalMacro 11 30 19 29 29 30 22 26 49 57 58 85 84 95 73 163 74
LongShortEquityHedge 81 109 152 162 167 215 271 330 329 371 397 473 468 373 285 196 178
ManagedFutures 75 65 80 59 49 52 33 44 45 74 118 75 123 105 64 74 58
MultiStrategy 11 18 22 23 16 38 33 50 91 108 184 200 218 355 324 183 173
OptionsStrategy 0 0 0 4 0 1 0 5 1 3 4 4 6 2 5 7 7
Other 3 3 5 4 7 3 5 18 16 44 48 39 53 61 84 71 38
Undefined 0 0 0 0 0 1 0 0 0 1 1 1 9 4 5 0 0
catIgn1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0
Births 1994 to 2010 in Lipper TASS
Clarendon Dynamics of the Hedge Fund Industry
Number of fund closings 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010
All Funds 240 294 337 302 379 405 456 521 634 636 843 1092 1288 1779 2846 2505 2210
CTA 137 141 113 78 89 83 71 62 48 44 57 68 56 87 63 57 68
ConvertibleArbitrage 2 0 12 7 9 7 3 12 8 15 31 41 28 46 39 21 23
DedicatedShortBias 1 2 1 2 0 1 0 7 2 0 5 5 5 13 6 3 10
EmergingMarkets 2 3 11 18 34 21 35 36 18 17 26 33 50 76 149 129 125
EquityMarketNeutral 1 4 4 2 7 18 18 19 31 52 51 54 54 92 98 86 88
EventDriven 8 7 8 13 17 33 28 36 52 47 60 53 100 91 125 92 86
FixedIncomeArbitrage 4 6 7 4 14 8 12 9 16 12 19 36 37 90 78 51 32
FundofFunds 21 32 45 71 87 84 112 134 159 187 286 376 428 505 1138 1323 969
GlobalMacro 8 9 20 9 14 25 32 18 14 21 21 43 56 104 77 89 106
LongShortEquityHedge 25 33 42 48 53 66 91 146 210 177 201 252 313 444 581 334 415
ManagedFutures 28 45 72 41 50 49 46 33 45 34 31 53 62 75 155 67 69
MultiStrategy 3 12 2 8 4 8 8 7 24 24 39 60 66 118 265 201 157
OptionsStrategy 0 0 0 1 0 0 0 0 0 3 0 1 0 3 1 6 5
Other 0 0 0 0 1 2 0 2 7 3 15 17 33 24 61 46 57
Undefined 0 0 0 0 0 0 0 0 0 0 1 0 0 11 10 0 0
catIgn1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Page 6
Deaths 1994 to 2010 in Lipper TASS
Clarendon Dynamics of the Hedge Fund Industry
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 7
Source: Credit Suisse 2012 Hedge Fund Market Review
Clarendon
Quantitative Equity Funds Hit Hard In August 2007
Specifically, August 7–9, and massive reversal on August 10
Some of the most consistently profitable funds lost too
Seemed to affect only quants
Lack of Transparency Is Problematic!
In Khandani and Lo (2007) we used a daily mean- reversion strategy to study these events:
Quant Meltdown of August 2007
Wall Street Journal September 7, 2007
© 2013 by Andrew W. Lo
All Rights Reserved
Page 8 Lecture 3
Clarendon Quant Meltdown of August 2007
Simulated Historical Performance of Contrarian Strategy
© 2013 by Andrew W. Lo
All Rights Reserved
Page 9 Lecture 3
Clarendon
© 2013 by Andrew W. Lo
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Lecture 3 Page 10
Quant Meltdown of August 2007
Simulated Historical Performance of Contrarian Strategy
Clarendon
© 2013 by Andrew W. Lo
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Lecture 3 Page 11
Quant Meltdown of August 2007
Clarendon
How Much Leverage Needed To Get 1998 Expected Return Level? In 2007, use 2006 multiplier of 4
8:1 leverage
Compute leveraged returns
How did the contrarian strategy
perform during August 2007?
Recall that for 8:1 leverage:
– E[Rpt] = 4 × 0.15% = 0.60%
– SD[Rpt] = 4 × 0.52% = 2.08%
2007 Daily Mean: 0.60%
2007 Daily SD: 2.08%
Year
Average
Daily
Return
Return
Multiplier
Required
Leverage
Ratio
1998 0.57% 1.00 2.00
1999 0.44% 1.28 2.57
2000 0.44% 1.28 2.56
2001 0.31% 1.81 3.63
2002 0.45% 1.26 2.52
2003 0.21% 2.77 5.53
2004 0.37% 1.52 3.04
2005 0.26% 2.20 4.40
2006 0.15% 3.88 7.76
2007 0.13% 4.48 8.96
Required Leverage Ratios For Contrarian Strategy To Yield 1998 Level of Average Daily Return
© 2013 by Andrew W. Lo
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Page 12 Lecture 3
Quant Meltdown of August 2007
Clarendon
Daily Returns of the Contrarian Strategy In August 2007
© 2013 by Andrew W. Lo
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Page 13 Lecture 3
Quant Meltdown of August 2007
Clarendon Quant Meltdown of August 2007 Daily Returns of Various Indexes In August 2007
© 2013 by Andrew W. Lo
All Rights Reserved
Page 14 Lecture 3
Clarendon Quant Meltdown of August 2007
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Page 15
Source: John B. Taylor
Clarendon Quant Meltdown of August 2007
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Page 16
Source: Sengupta and Tam (2008, St. Louis Fed)
3-Month LIBOR/OIS Spread August 2006 to October 2008
Clarendon Comparison with August 1998
© 2013 by Andrew W. Lo
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Lecture 3 Page 17
Daily Returns of the Contrarian Strategy In August and September 1998
Clarendon Comparison with August 1998
© 2013 by Andrew W. Lo
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Page 18 Lecture 3
Daily Returns of the Contrarian Strategy In August and September 1998
Clarendon Market-Making Profits During August 2007 Cumulative m -Min Returns of Intra-Daily Contrarian Profits for Deciles 10/1 of
S&P 1500 Stocks July 2 to September 30, 2008
0.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
7/2/07
12:00:00
7/11/07
12:00:00
7/19/07
12:00:00
7/27/07
12:00:00
8/6/07
12:00:00
8/14/07
12:00:00
8/22/07
12:00:00
8/30/07
12:00:00
9/10/07
12:00:00
9/18/07
12:00:00
9/26/07
12:00:00
Cu
mu
lati
ve
Re
turn
60 Min
30 Min
15 Min
10 Min
5 Min
© 2013 by Andrew W. Lo
All Rights Reserved
Page 19 Lecture 3
Clarendon The Unwind Hypothesis
Khandani and Lo (2007, 2011) Conjecture That: Losses due to rapid and large unwind of quant fund (market-
neutral), and liquidation is likely forced because of firesale prices (sub-prime?)
Initial losses caused other funds to reduce risk and de-leverage, and de-leveraging caused further losses across broader set of equity funds
Friday rebound consistent with liquidity trade, not informed trade, and rebound due to quant funds, long/short, 130/30, long-only funds
How and Why Did This Happen?
© 2013 by Andrew W. Lo
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Page 20 Lecture 3
Clarendon
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 21
The Financial Crisis
0
100
200
300
400
500
600
700
800
900
1000
0
50
100
150
200
250
1880 1900 1920 1940 1960 1980 2000 2020
Po
pu
lati
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illio
ns
Re
al H
om
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rice
Ind
ex
U.S. Real Home Price Index, 1890 –2012
Source: Robert J. Shiller
Home Prices
Population
Clarendon
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 22
Corporate Federal Agency Municipal Treasury1 Mortgage-Related2 Debt3 Securities Asset-Backed Total
1996 185.2 612.4 479.7 343.7 277.9 168.4 2,067.2 1997 220.7 540.0 577.6 466.0 323.1 223.1 2,350.5 1998 286.8 438.4 1,118.1 610.7 596.4 286.6 3,336.9 1999 227.5 364.6 985.4 629.2 548.0 287.1 3,041.8 2000 200.8 312.4 660.0 587.5 446.6 281.5 2,488.8 2001 287.7 380.7 1,663.9 776.1 941.0 326.2 4,375.6 2002 357.5 571.6 2,283.0 636.7 1,041.5 373.9 5,264.2 2003 382.7 745.2 3,084.3 775.8 1,267.5 461.5 6,717.0 2004 359.8 853.3 1,879.0 780.7 881.8(4) 651.5 4,524.3 2005 408.2 746.2 2,182.4 752.8 669.0 753.5 5,512.1 2006 386.5 788.5 2,088.8 1,058.9 747.3 753.9 5,823.9 2007 429.3 752.3 2,186.2 1,127.5 941.8 509.7 5,946.8 2008 389.5 1,037.3 1,362.2 707.2 984.5 139.5 4,620.2 2009 409.8 2,185.5 2,041.4 901.8 1,117.0 150.9 6,806.4 2010 433.1 2,303.9 1,742.7 1,062.7 1,032.6 109.4 6,684.5
U.S. Bond Market Debt Issuance ($Billions)
1 Interest bearing marketable coupon public debt. 2 Includes GNMA, FNMA, and FHLMC mortgage-backed securities and CMOs and private-label MBS/CMOs. 3 Includes all non-convertible debt, MTNs and Yankee bonds, but excludes CDs and federal agency debt. 4 Beginning with 2004, Sallie Mae has been excluded due to privatization. Source: SIFMA
The Financial Crisis
What Could Possibly Go Wrong?
Clarendon
© 2013 by Andrew W. Lo
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Lecture 3 Slide 23
Who Benefited From This Trend?:
Commercial banks Credit rating agencies (S&P, Moody’s, Fitch) Economists Government sponsored enterprises Homeowners Insurance companies (multiline, monoline) Investment banks and other issuers of MBSs, CDOs, and CDSs Investors (hedge funds, pension funds, mutual funds, others) Mortgage lenders, brokers, servicers, trustees Politicians Regulators (CFTC, Fed, FDIC, FHFA, OCC, OTS, SEC, etc.)
“A Rising Tide Lifts All Boats” (Everybody Benefits)
How Could This Have Happened?
Clarendon No Negative Feedback In The System
© 2013 by Andrew W. Lo
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Slide 24 Lecture 3
Pain and negative feedback produce a response
– Fear learning, preventive measures, a new narrative
– Many regulations arise from pain
– Fire codes and the Triangle Shirt Waist Factory fire of March 25, 1911 (146 died, 60 new laws enacted between 1911 and 1913)
What if we felt no pain?
– Anesthetic (recall methamphetamine)
– Disrupts critical negative feedback control loop
– No learning, or incorrect learning
Clarendon No Negative Feedback In The System
© 2013 by Andrew W. Lo
All Rights Reserved
Slide 25 Lecture 3
Negative Feedback Is Unpleasant But Useful
Clarendon Why?
Adaptive Markets Perspective
We develop many narratives that guide our behavior
These narratives are shaped by natural selection, but only if there is accurate feedback: pain for less beneficial narratives, pleasure for more beneficial narratives
The only reliable way to obtain accurate feedback on our narratives is the systematic and objective empirical analysis of hypotheses, i.e.,
The Scientific Method
© 2013 by Andrew W. Lo
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Lecture 3 Slide 26
Clarendon Many Narratives Have Emerged
Popular Narratives of the Crisis
Crisis started with a “run on repo”
Bankers didn’t have enough “skin in the game”
Wall street bonuses were too high
Predatory lending created the subprime crisis
No one saw the crisis coming
Devotion to market efficiency caused the crisis
Changes in regulation allowed huge increases in leverage
But Are They True?
© 2013 by Andrew W. Lo
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Lecture 3 Slide 27
Clarendon What Can Be Done?
The NTSB Model
No regulatory authority
Investigates accidents and issues reports
Investigative teams include industry reps
Conducts forensic examinations
Publicly available searchable database
Http://www.ntsb.gov/ntsb/query.asp
Example: USAir flight 405
© 2013 by Andrew W. Lo
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Lecture 3 Slide 28
Clarendon What Can Be Done?
NTSB Report AAR–93/02, p. vi:
The National Transportation Safety Board determines that the probable cause of this accident were the failure of the airline industry and the Federal Aviation Administration to provide flightcrews with procedures, requirements, and criteria compatible with departure delays in conditions conducive to airframe icing and the decision by the flightcrew to take off without positive assurance that the airplane's wings were free of ice accumulation after 35 minutes of exposure to precipitation following de-icing. The ice contamination on the wings resulted in an aerodynamic stall and loss of control after liftoff. Contributing to the cause of the accident were the inappropriate procedures used by, and inadequate coordination between, the flightcrew that led to a takeoff rotation at a lower than prescribed air speed.
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 29
Clarendon
© 2013 by Andrew W. Lo
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Lecture 3 Slide 30
What Can Be Done? Break up banks and broker/dealers that are “too big to fail”
Create exchanges for CDSs and other large OTC contracts
Create financial NTSB for analyzing all blow-ups
Require confidential disclosure regarding “network” exposures
Implement counter-cyclical leverage constraints for bank-like entities
Enforce “suitability” requirements for mortgage-broker advice
Require certification for mgmt. and boards of complex financial institutions
Impose better mark-to-market accounting and risk controls
Impose capital adequacy requirements for all bank-like entities
Create new discipline of “risk accounting”
Consolidate insurance regulation at the federal level
Impose small derivatives tax to fund financial engineering programs
Revise laws to allow “pre-packaged” bankruptcies for finance companies
Change corporate governance structure (compensation, CRO role, etc.)
Teach economics, finance, and risk management in high school
Clarendon
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3
In the beginning… Implications: Correlation matters; diversification Cost of capital for fundamental analysis Benchmarks, performance attribution Passive investing Indexation and hedging Portable alpha overlays Portfolio construction and risk budgeting Framework for discharging fiduciary duty
The Traditional Investment Framework
Slide 31
Clarendon
© 2013 by Andrew W. Lo
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Lecture 3
But This Framework Requires Several Key Assumptions:
Relationship is linear
Relationship is static across time and circumstances
Parameters can be accurately estimated
Investors behave rationally
Markets are stationary (static probability laws)
Markets are efficient
What If Some of These Assumptions Don’t Hold?
The Traditional Investment Framework
Slide 32
Clarendon
© 2013 by Andrew W. Lo
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Lecture 3
The Traditional Investment Framework
Slide 33
But Do They Still Hold Today??
Cumulative Return of S&P 500 (log scale) January 1926 to July 2011
Clarendon The Traditional Investment Framework
© 2013 by Andrew W. Lo
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Lecture 3 Slide 34
Clarendon
Long-Term Risk Premia of Various Asset Classes January 1929 to December 2009
Asset Class Geometric
Mean
Arithmetic
Mean
Standard
Deviation
Small Company Stocks 11.9% 16.6% 32.8%
Large Company Stocks 9.8% 11.8% 20.5%
Long-Term Corporate Bonds 5.9% 6.2% 8.3%
Long-Term Government Bonds 5.4% 5.8% 9.6%
Intermediate-Term Government Bonds 5.3% 5.5% 5.7%
U.S. Treasury Bills 3.7% 3.7% 3.1%
Inflation 3.0% 3.1% 4.2% Source: Summary statistics computed from Ibbotson’s Stocks, Bonds, Bills, and Inflation series from January 1926 to December 2009 (2010, Table 2–1).
Risk/Reward Relationship Seems To Apply Over Long Periods of Time
Implications
© 2013 by Andrew W. Lo
All Rights Reserved
Slide 35 Lecture 3
Clarendon
-30%
-20%
-10%
0%
10%
20%
30%
40%
50%
1250-Day Annualized Return 1250-Day Annualized Volatility
Risk/Reward Relationship Need Not Apply Over Shorter Periods of Time!
Implications
© 2013 by Andrew W. Lo
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Slide 36 Lecture 3
Clarendon Implications
Efficient Markets
Long-only constraint
Diversify across stocks and bonds
Market-cap-weighted indexes
Manage risk via asset allocation
Alpha vs. market beta
Markets are efficient
Equities in the long run
Adaptive Markets
Long/short strategies
Diversify across more asset classes and strategies
Passive transparent indexes
Manage risk via active volatility scaling algorithms
Alphas multiple betas
Markets are adaptive
“In the long run we’re all dead”, but make sure the short run doesn’t kill you first
Lecture 3 Slide 37 © 2013 by Andrew W. Lo
All Rights Reserved
Clarendon
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 38
Conclusion
Many Disciplines Focus On Human Behavior Anthropology Biology Computer Science Economics Neuroscience Organizational science Political Science Psychology Sociology
What Is The Common Denominator? Homo sapiens
Clarendon
Lecture 3
Conclusion
Consilience (E.O. Wilson, 1998):
The Consilience of Inductions takes place when an Induction, obtained from one class of facts, coincides with an Induction, obtained from another different class. This Consilience is a test of the truth of the Theory in which it occurs.
— William Whewell, 1840, Philosophy of
the Inductive Sciences, 1840.
© 2013 by Andrew W. Lo
All Rights Reserved
Slide 39
Clarendon
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 40
Conclusion
Even Samuelson (1947) Raised Concerns: …[O]nly the smallest fraction of economic writings, theoretical and applied, has been concerned with the derivation of operationally meaningful theorems. In part at least this has been the result of the bad methodological preconceptions that economic laws deduced from a priori assumptions possessed rigor and validity independently of any empirical human behavior. But only a very few economists have gone so far as this. The majority would have been glad to enunciate meaningful theorems if any had occurred to them. In fact, the literature abounds with false generalization.
We do not have to dig deep to find examples. Literally hundreds of learned papers have been written on the subject of utility. Take a little bad psychology, add a dash of bad philosophy and ethics, and liberal quantities of bad logic, and any economist can prove that the demand curve for a commodity is negatively inclined.
Clarendon Conclusion
A New Narrative
Efficient Markets is not wrong; it is just incomplete
Human behavior has been stable for 60,000 years
Our environment has changed rapidly
The mismatch can create challenges
Evolution determines dynamics
Competition, selection, innovation
AMH: How Adaptive Are You?
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 41
Thank You!
Clarendon Further Reading Brennan, T. and A. Lo, 2011, “The Origin of Behavior”, Quarterly Journal of Finance 1, 55–108.
Brennan, T. and A. Lo, 2012, “An Evolutionary Model of Bounded Rationality and Intelligence”, PLOS ONE 7: e34569. doi:10.1371/journal.pone.0050310.
Farmer, D. and A. Lo, 1999, “Frontiers of Finance: Evolution and Efficient Markets”, Proc. Nat. Acad. Sci. 96, 9991–9992.
Hasanhodzic, J. and A. Lo, 2007, “Can Hedge-Fund Returns Be Replicated?: The Linear Case”, Journal of Investment Management 5, 5–45.
Lo, A., 1999, “The Three P’s of Total Risk Management”, Financial Analysts Journal 55, 13–26.
Lo, A., 2001, “Risk Management for Hedge Funds: Introduction and Overview”, Financial Analysts Journal 57, 16–33.
Lo, A., 2004, “The Adaptive Markets Hypothesis: Market Efficiency from an Evolutionary Perspective”, Journal of Portfolio Management 30, 15–29.
Lo, A., 2005, “Reconciling Efficient Markets with Behavioral Finance: The Adaptive Markets Hypothesis”, Journal of Investment Consulting 7, 21–44.
Lo, A., 2008a, Hedge Funds: An Analytic Perspective. Princeton, NJ: Princeton University Press.
Lo, A., 2008b, “Hedge Funds, Systemic Risk, and the Financial Crisis of 2007–2008: Written Testimony for the House Oversight Committee Hearing on Hedge Funds (November 13, 2008)”, Available at SSRN: http://ssrn.com/abstract=1301217.
Lo, A., 2012, “ Adaptive Markets and the New World Order, Financial Analysts Journal 68, 18–29.
Lo, A., 2012, “Fear, Greed, and Financial Crises: A Cognitive Neurosciences Perspective”, to appear in J.P. Fouque and J. Langsam, eds., Handbook of Systemic Risk, Cambridge University Press.
Lo, A. and C. MacKinlay, 1999, A Non-Random Walk Down Wall Street. Princeton, NJ: Princeton University Press.
© 2013 by Andrew W. Lo
All Rights Reserved
Lecture 3 Slide 43