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07a Hedge Funds and Performance Evaluation

Apr 10, 2018

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    InstitutionalFinanceInstitutionalFinanceLecture06:PortfolioEvaluationandHedgeFunds

    MarkusK.Brunnermeier

    Preceptor: DongBeom Choi

    PrincetonUniversity1

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    APrimeronHedgeFunds History,Compensation

    o HedgeFungandHsieh,1999,APrimeronHedgeFunds,Journalof

    Empirical

    Finance.

    HedgeFundStrategieso CSFBTremonthttp://www.hedgeindex.com;

    , , ,InvestmentManagement

    o MalkielandSaha,2005,HedgeFunds:RiskandReturn,FinancialAnalystsJournal

    Performance alphaversusbeta

    o staleprices

    o nonlinearpayoffs

    FocusI:MergerArbitrageo MitchellandPulvino,2001,CharacteristicsofRiskandReturninRiskArbitrage,JofFinance

    Fundflows

    LiquiditySpiralsandLeverage

    CorrelationacrossHedgeFunds

    2

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    HouseholdsHouseholds

    Nonfinancial

    firmsPensionfunds

    Government Restofworld

    Direct lending

    3

    ,Corporate bonds

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    Households

    Financial

    intermediaries

    qu ty

    Indirect

    lending

    Households

    PensionfundsHFs

    .

    Debt

    DepositsFinancial

    MortgagesCorporateCredit

    Nonfinancial

    firms

    Restofworld

    Direct lending

    paper,MBS, ABS

    Government

    44

    ,Corporate bonds

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    Originateanddistributebankingmodel

    Special

    purpose

    vehicles

    (SIVs

    etc.)

    5

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    6Source: Shin

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    80%

    90%

    DP)

    80%

    fGDP)

    Commercial Banks

    Mutual Funds + Hedge

    Funds + Broker/Dealers

    50%

    60%

    70%

    Ass

    ets(%o

    f

    60%

    ssets(as%o

    Mutual Funds

    20%

    30%

    40%

    TotalFinancial

    20%

    40%

    talFinancial

    Security Brokers and Dealers

    Hedge Funds

    0%

    10%

    1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006

    0%

    T

    7

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    privateinvestmentvehiclesforindividualsorinstitutionalinvestors.

    ,

    and

    the

    managers

    are

    general

    partners. Asgeneralpartners,thefundmanagersusuallyinvestinasignificantportionoftheir

    personalwealthintothepartnershiptoensurethealignmentofeconomicinterests.

    Investorstothepartnershiparechargedaperformancebasedfee wherethepotentialpayouttosuccessfulmanagerscanbesignificantlyhigherthanthefixedmanagement

    fee.

    duetodifferencesintheirtradingstrategies.

    Hedgefundsdeploydynamictradingstrategieswhereasmostmutualfundsemployastaticbuyandholdstrategy.

    useofshortsales.

    Incontrast,theuseofleverageisoftenlimitedifnotrestrictedformutualfunds.

    8

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    FirsthedgefundbyAlbertWislow Jonesin1949. pr marystrategyuse ongs ortequ typos t onsan everage.

    incentivefeebasedonperformance.

    Until1966hedgefundsremainedrelativelyobscure

    n ar c e n or une escr e ones un s o avere urns ne o fee)substantiallyhigherthanthebestperformingmutualfunds.

    Rapidexpansionin196768 ,

    fundssufferedlossesandcapitalwithdrawals.

    Hedgefundsfadedbackintoobscurityuntil1986,whenanarticleinInstitutionalInvestorre ortedthatJulianRobertson'sTi erFundhad

    compoundedannualreturnsof43%duringitsfirstsixyearsofexistence,afterexpensesandincentivefee.Thisreignitedinterestsinhedgefunds,withtheformationofmanynewhedgefunds.

    9

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    Managerscanreceivecertaintypesofperformancebasedfeesthatarepro e omu ua un s.

    Thetypicalcompensationforhedgefundmanagersisa 2%managementfeeand

    per ormance eew g wa ermar .

    substantiallyhighercomparedtomutualfunds.

    Mutualfundperformancebasedfeemustsatisfythe"fulcrum"rule:o

    relativetoabenchmarkmustresultinthesameamountofpositiveandnegativeincentivefeesforamutualfundmanager

    HFarenotsubjecttofulcrumruleandmanagerstypicallyreceive

    Embeddedputoptionishighlydebatedo Ontheonehand,thesignificantamountofpersonalwealththathedgefund

    managersplaceatriskalongsideinvestorsinhibitsexcessiverisktaking.

    o nt eot er an ,t ereareextremec rcumstancesw eret e sproport onapayoutfromtheincentivefeemayoutweightheriskoflosingpersonalwealth

    evenifreputationalrisksaretakenintoaccount.10

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    Problemconfrontingamoneymanagerwho

    e eves a e assuper or nves men s s

    limitedowncapital Financingoptions

    Equity

    Debt puttinguppersonalassetsascollateral inmostcasesinsufficient

    Disclosure

    Fund

    managers

    adverse

    to

    fully

    disclose

    his

    "winning

    strategy"

    Excludes or anizational forms that must meet a hi h level of "trans arenc " and "disclosure

    Favors"privatevehicles" explainsthelackof"publiclyoffered"hedgefundproducts

    Investorsdemandlimitedliabilityandprotection

    disclosuredocumentsareatbestcursoryandcomplex

    recommen a ons romare a esource ,managers repu a on p usper ormances a s csan

    computersimulations.

    Commitmentofmanagerspersonalcapitalandtheincentivefeestructureareoftencritical

    elements.

    11

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    SecuritiesExchangeCommission(SEC)overseespubliclytradedsecurities,includingecorpora ons a ssue em, ro er ea ers, nves men a v sorsan mu ua

    funds Enforcesfederalsecuritieslawsdesignedtoprotectinvestorsandensuredisclosure

    Regulatesfirmsthatpurchaseorsaleofsecurities,provideinvestmentadvice,andinvestment.

    SecuritiesActof1933o requiresfirmsissuingpubliclytradedsecuritiestoregisterandfiledisclosurereports.

    o ExemptionforHF:ClaimstatusofaprivateplacementunderthesafeharborprovisionofRule506inRegulationD

    SecuritiesExchangeActof1934o Regulatesecuritiesbrokerdealers thatfacepotentialconflictsinexecutingcustomerordersversusownaccounts.

    o ExemptionforHF:aslongastheytradeonlyforownaccounts.

    InvestmentAdvisersActof1940o requiresinvestmentadvisorstoregisterandtoconformtostatutorystandards.

    o ExemptionforHF: havelessthan15clients,dontsolicitbusinessfromthegeneralpublic

    InvestmentCompany

    Act

    of

    1940

    o severelyrestrictsamutualfund'sabilitytoleverage

    o ExemptionforHF:Havenomorethan99investors(recently499and

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    TheCommodityFuturesTradingCommission(CFTC)overseesfutures

    CommodityExchangeActof1974 toregulatethefuturesmarketsinthe,

    manipulation,abusivetradepracticesandfraud inthefuturesmarkets.

    o Entitiesthathandlecustomerfunds

    orprovidetrading

    advice infutures

    ,industryselfregulatorybodyapprovedbytheCFTC.Inaddition,theseregistrantsmustdisclosemarketrisksandpastperformanceinformationtoprospectivecustomers.

    investors,itisgenerallyrequiredtofileasacommoditypooloperatorwiththeCommodityFuturesTradingCommission.

    13

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    Hedgefundsarenotexemptedfromgeneralregulationsdesignedtomonitorand.

    TheU.S.Treasuryrequirestraderstoreportlargepositionsinselectedforeigncurrenciesandtreasurysecurities.

    TheSEC requirestraderstoreportpositions thatexceed5%ofthesharesofapubliclytradedfirm

    QuarterlypositionforlargeHFs(13Ffiling)

    TheFederalReservehasmarginrequirementsforstockpurchases(Reg T)

    TheCFTC requirestraderswithlargefuturespositionstofiledailyreports.

    TheCFTCandthefuturesexchangessetfuturesmarginsandpositionlimitsonfuturescontracts.

    Theseregulationsapplytoallmarketparticipants,includinghedgefunds.

    14

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    Credit SuisseTremont

    asset

    weighted

    hedge

    fund

    indexo calculatedandrebalanced

    monthly

    o Netoffeeandexpenses

    includesonlyfunds,asoppose osepara eaccounts

    4500funds

    o m n mumo m onundermanagement

    o 12monthtrackrecord

    15

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    16

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    convertiblesecurities

    hedgetheequitycomponentbyshortingthe

    Also,interestrate,volatility

    andcredithedges Hedgeratiosadjustedas

    marketsmove

    typ ca y es gne tocreateprofitirrespectiveofmarketmoves.

    17

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    Priceofconvertiblebonds

    nves men va ue= epr ce wereas ra g on

    Conversionvalue=valueifconvertedintoitsequityequivalent(e.g.convertedinto5sharesofstockwithprice$10,then$50)

    (usually,priceofbond>max{investmentvalue,conversionvalue})

    Optionvalue(timevalue)

    Convertiblearbitrage

    shortpositioninthestock :

    multiplyingbyoptiondelta.

    Example:

    o Convert'spriceis$1000,currentstockpriceis$50,conversionpremiumis50%,

    sovalueofthestockpriceconversionpremiumis$75.Optiondeltais0.65.o Numberofsharestoshort,hedgeratio,isthen:($1000/$75)*0.65=8.6667.

    o Forsmallstockpricemovementsthisshortpositionprovideshedge.

    o

    o Duringvolatilemarketsthishedgebreaksdown,butcanbeprofitable

    o Cashinthecouponpayments18

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    portfoliosoflongandshortequities

    focusoncompanieswith

    weakcashflowgenerationiscommon.

    Riskmanagement

    consistsofoffsettinglongpositionsandstoploss

    .

    19

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    investmentsincurrencies,e tinstruments,equities

    andotherinstrumentsof"emerging"markets

    byGDPpercapita).

    Latin

    America,

    Eastern

    , ,o BRIC

    o Next11

    ,arbitrage,creditandeventdriven,fixedincomebias,ande uit bias.

    20

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    ex loitin ricin relationshipsbetweendifferentequitiesor

    typicallyhedgingexposure

    tooverallequitymarket Subsectors

    o Statisticalarbitrage

    o Fundamentallong/short

    o Indexarbitrage

    Leverageiscommon

    21

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    Subsectors

    o Risk(Merger)ArbitrageSpecialistsare

    typicallylongthestockofthecompanybeingacquiredandshortthestockof

    theacquirer.

    o Distressed/HighYieldSecuritiesFund

    managersinvestinclaimsofcompanies

    infinancialdistressoralreadyin

    default.The tradeatsubstantial

    discounts,sincetheyaredifficultto

    evaluateandhavealackofstreet

    coverage.

    .

    capitalizationpubliccompaniesthat

    areraisingmoneyinprivatecapital

    markets.

    22

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    Differentfixedincome

    securities Yieldcurvecarrytrade

    Instruments

    o

    interest

    rate

    swapso on s

    o futures

    o voltradin involvin

    options

    o mortgagebacked

    23

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    FXcarr trades

    Fixedincome,currency,equity,commodity(indices)

    Focusonshiftsinworld,

    changesorglobalsupply/demand

    imbalances Focusonliquid

    ns rumen s

    24

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    o Stockso Futures/options

    Shiftfrom

    o valuetogrowth,

    o smalltolarge

    o netlongtonetshort

    Focuso Global,regional,or

    sec or a

    25

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    Investmentinlistedbonds,currency,equ tyan

    commodityfuturesmarketsglobally

    e erre oas ommo yTradingAdvisors(CTA)

    Relyontradingprograms

    o Longtermtrendfollowing

    o Shorttermcountertrend

    o

    systematic/discretionaryprograms

    o Usestoplosspointstocontrolr s

    26

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    strategies startedasconvertible

    arbs anddiversifiedin

    otherstrategies) Oftenhighlyleveraged

    27

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    Sharpe Mean Std Dev Skew Kurt Min 5% Obs Dec-06

    Long/Short Equity 0.22 0.63 2.83 0.12 6.89 -11.85 -3.52 171 29%

    Event Driven 0.36 0.58 1.61 -3.16 24.84 -12.19 -1.83 171 24%

    Global Macro 0.27 0.82 3.00 -0.06 6.20 -11.89 -3.58 171 11%

    Multi-Strategy 0.33 0.42 1.26 -1.13 5.65 -5.10 -2.00 171 10%

    Emerging Markets 0.12 0.53 4.48 -0.74 8.00 -23.45 -7.31 171 7%

    Fixed Income Arbitrage 0.11 0.13 1.16 -3.14 18.19 -7.30 -1.88 171 6%E uit Market Neutral 0.59 0.46 0.79 0.18 3.66 -1.59 -0.80 171 5%

    Managed Futures 0.09 0.30 3.46 0.01 3.11 -9.80 -5.24 171 5%

    Convertible Arbitrage 0.23 0.32 1.39 -1.58 7.22 -6.04 -1.86 171 3%

    Dedicated Short Bias -0.06 -0.31 4.83 0.80 4.89 -9.13 -7.48 171 1%

    Sharpe Mean Std Dev Skew Kurt Min 5% Obs

    Hedge Fund Index 0.25 0.54 2.15 0.00 5.40 -7.97 -2.61 171

    Investment Banks 0.02 0.13 5.29 -0.27 3.25 -16.63 -9.31 168

    Commercial Banks 0.15 0.78 5.20 -0.60 5.66 -24.45 -7.46 168

    ane : nanc a ns u on n ces

    Insurance Companies 0.16 0.76 4.64 0.10 6.49 -16.23 -6.30 168

    Market 0.13 0.56 4.17 -0.74 3.97 -16.20 -6.44 172

    28

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    AverageHedgefundIndexreturn iscomparabletoS&P500.

    ,(abouthalf). primarilyduetothesharpdeclineoftheS&P500in2000and2001:

    hedgefundshave,onaverage,beenabletounloadthemarketriskpriortotheec ne,seee.g.Brunnerme eran Nage 4

    Consequently,theSharperatioforhedgefundsishigherthantheSharperatiofortheS&P500.

    Correlation of hed e fund index with market is low 49 Varieslargeacrossstrategies

    CorrelationofstrategieswithHFindexisgenerallyhigh

    NoteinMalkielandSaha (2005)returnsarelower.Theyuseequalweighted(insteadofvalueweighted)returnsoftheTASSdatabase. Ingeneral,smallfundsperformworsethanlargefunds

    29

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    APrimeronHedgeFunds History,Compensation,

    HedgeFundStrategies

    Performance alphaversusbeta

    o staleprices

    o nonlinearpayoffs FocusI:MergerArbitrage

    o MitchellandPulvino,2001,CharacteristicsofRiskandReturninRiskArbitrage,JofFinance

    qu ty

    s

    an

    s

    anagement FundFlows LiquiditySpiralsandLeverage

    CorrelationacrossHedgeFunds

    Focus

    II:

    2007

    Quant

    crisis 31

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    Biases Survivor allalivefundshavea20%deathrate

    Backfill smoothoutreturns Selfreported

    Estimationimpressionofmeanreturns ,if=15%,thenuncertaintyabout5yearmeanreturnis

    1.96*15/5.5=+/13%

    T/

    Staleprices returnsmoothing

    Nonlinearstrategies.

    littlepersistenceinoutperformance

    Conclusion

    Evaluationofaveragereturnsoralphasisverynoisy

    Evaluationofriskmeasureorbetasisuseful 32

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    Jensen (riskthatisnotduetoloadingonmarketrisk)

    ForCAPM=

    ][][

    ,,,

    MPPP rErE +=

    o P:tendencyofreturntoriseifmarketrises

    o PrM,t:cangetsimplybeinvestinginindex(style)

    o

    P

    o P,t:extrariskbeyondindexfund

    Formultifactormodel

    Appraisal(information)P

    /

    (takesleverageintoaccount)

    33

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    AppraisalRatio

    S arpeRatio earnedaverageriskpremiumofportfolio/fundPperunitoftotalrisk

    P

    fP

    rErE reynor n ex

    earnedaverageriskpremiumofportfolio/fundPperunitofsystematic

    risk(measuredbybeta)

    P

    34

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    Hedge Fund Performance

    on ro ng or e e urn an e e urn

    40

    60

    80

    -2 0

    0

    20

    nnua

    lalpha(percent)

    -6 0

    -4 0

    A

    -8 0

    1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006

    95th Percentile A lpha Average Alpha 5th Percentile Alpha Source: FRBNY calculat ions from TASS

    Alpha for two factor model with S&P500 and VIX

    Note cross-section alpha is getting compressed over time35

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    Annual He de Fund S&P500 Betas TASS

    3

    4

    1

    2

    -1

    0

    -3

    -2

    95th Percentile S&P500 Beta 5th Percentile S&P500 Beta Average S&P 500 Beta

    VIX-beta looks similar 36

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    More than 80% is explained by FF-factors

    -Intercept is still significant But volatility is much lower 37

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    makes . .

    low

    o Wronglylowers estimate,increaseestimate

    Returnsappearlessvolatile

    o Informationratioincreases

    38

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    Style ER (%/mo) a b a3 b3 Not zero!

    Index 0.64 0.46 0.28 0.36 0.44

    Std. errors 0.20 0.17 0.04

    Short -0.53 0.10 -0.94 0.13 -0.99

    Bigger with lags

    Emerg mkts 0.39 0.00 0.58 -0.07 0.69

    Event 0.61 0.46 0.22 0.38 0.37

    Global Macro 0.93 0.82 0.17 0.74 0.31

    Reallynot zero.

    Long/Short Equity 0.73 0.42 0.47 0.32 0.65

    erna ve asse

    Long-short doesntmean zero beta!

    & 500i s p i

    t t tr a br = + + 1 2 1 3 2 4 3

    1 2 3 4

    33

    i sp sp sp sp i

    t t t t t t r a b r b r b r b r b b b b b

    = + + + + += + + +

    Source for following slides: John Cochranes website, idea from Asness et al JPM

    ags are mpor an s a e pr ces or oo ac op onBetas are big!

    39

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    40Annual returns moving average

    20

    30

    0

    10

    20

    10

    1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 200440

    30

    HF index

    market

    Correlation with the market is obvious.

    Getting out in 2000-2003 was smart! (Mostly due to Global/Macro group) 40

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    10

    Monthly returns on Global Macro HF and US market

    5

    0

    10

    5

    1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005

    15rmrf

    GlobalMacro

    Lagged market effect is clear in 1998. Is Nov/Dec 1998 unrelated to Oct?

    Dramatic stabilization / change of strategy in mid 2000 41

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    LinearCAPMregressioncannotcapturenonlinearpayoff

    structurest atar se

    Fromtradingoptions Replicatingoptionswithdynamictradingstrategies

    PopularHFstrategy writingputoptions

    You collect a fee, only pay off if the market goes down a lot.rov ng sas er nsurance

    Most of the time, stock ends up here. You make a small profitindependent of stock price. Looks like alpha, arbitrage.

    Stock price

    Fee (put price)

    Toda s rice

    Writing put profit

    Rarely, the stock ends up here. You lose a huge amount

    42

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    Merger announced Merger completedPrice

    Offer price

    Buyerger a s

    Time

    Cas

    o er.

    Borrow,

    uy

    target

    s ort

    acquirer.

    Largechanceofasmallreturnifsuccessful.(Leverageup) Smallchanceofalar elossifunsuccessful. Butofferismorelikelytofailifthemarketfalls!

    Payoffislikeanindexput! 43

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    44

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    Lineindicatessimilaritytowritingindexputs

    Mitchell and Pulvino, JF

    45

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    Occasionalcatastrophes

    Catastrophesaremorelikelywhenmarketdeclines

    Mitchell and Pulvino, JF

    46

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    y e up own

    Index 0.44 0.08 0.77Short -0.99 -0.22 -1.82

    xamp e: e mar e goes up10%, the HF index goes up 0.8%.But if the market goes down 10%,the HF index oes down 7.7%!

    Emerg mkts 0.69 0.08 1.16

    Event 0.37 0.18 0.47

    Global Macro 0.31 -0.08 0.66Long/Short Eqty 0.65 0.19 1.18

    1 2 1 3 2 4 3

    1 2 3 4

    33

    i sp sp sp sp i

    t t t t t t r a b r b r b r b r b b b b b

    = + + + + += + + +

    ( 0) ( 0)i sp sp it up t down t t r a b r b r = + > + < +

    (Includes 3 lags)

    Betasarec osetoone

    Hence,needoptionreturnbenchmarks 47

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    ER alpha SPPo SMB HML

    sp sp o

    t i i t i t i t i t t r r SPPo s SMB h HML = + + + + +

    mo pu s s ze va ue

    Event Arb 1.03 0.04 -0.92 0.15 0.08

    Restructure 1.29 0.43 -0.63 0.24 0.12Event driven 1.33 0.20 -0.94 0.31 0.12

    Rel. value arb 1.15 0.38 -0.64 0.17 0.08

    SPPo = return from rolling over out-of-the-money putsSource: Agarwal and Naik RFS, using HFR data

    Largemarketbetasemerge

    Alphasaresmaller 48

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    Market,value,size,momentum,term,default,currenc

    Optionsonallofthese

    Problems

    49

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    APrimeronHedgeFunds History,Compensation,

    HedgeFundStrategies Performance

    alphaversusbetao staleprices

    o nonlinearpayoffs FocusI:MergerArbitrage

    o MitchellandPulvino,2001,CharacteristicsofRiskandReturninRiskArbitrage,JofFinance

    Riskspillovers

    FocusII:2007Quantcrisis

    50

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    Monthly returns for liquidated funds towards liquidation

    (TASS)

    1

    1.2

    0.2

    0.4

    0.6

    .

    t

    -0.4

    -0.2

    0

    .

    25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

    Perce

    -1

    -0.8

    -0.6

    Months

    51

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    arg n un ngr s Primebroker

    MarginhastobecoveredbyHFsowncapital Marginsincreaseattimesofcrisis

    Rolloverrisk CP Inabilitytorollovershorttermcommercialpaper

    OutflowoffundsforHFsandbanks

    Maturitymismatch:Maturitymismatch:Longtermassets(withlowmarketliquidity)S ortterm orrow ng

    52

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    A v e r a g e L o c k - u p P e r i o d ( T A S S )

    5

    6

    7

    3

    4

    Numberofmonths

    0

    1

    2

    Lockupperiods

    1 9 9 0 1 9 9 2 1 9 9 4 1 9 9 6 1 9 9 8 2 0 0 0 2 0 0 2 2 0 0 4 2 0 0 6

    Sidepockets53

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    Netwealth> x .

    (constantorincreasingleverageratio)

    BernankeGertler,

    ReducedPositions

    Marginspiral (forcestodelever)

    PricesMoveAway

    from FundamentalsFundingProblems

    InitialLosses

    e.g.credit

    Losseson

    ExistingPositions

    Both spirals reinforce each other

    Source: Brunnermeier & Pedersen (2007)

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    Percentage of Hedge Funds using Leverage

    64%

    66%

    68%

    60%

    62%

    54%

    56%

    58%

    50%

    52%

    1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006

    Source: TASS

    Somewhat surprising, fraction of funds using leverage is declining 55

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    Margins/Haircuts:

    Rating Jan-May 2007 July-Aug 2007

    Bond

    Investment grade 0-3 3-7

    High yield 0-5 10+

    Leveraged Loan

    Senior 10-12 15-20

    2nd lien 15-20 20-30

    Mezzanine 18-25 30+

    ABS and CDO

    - -

    AA 4-7 20

    A 8-15 30

    BBB 10-20 50

    Equity 50 100

    Source: Citigroup, IMF Stability report 2007

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    Hedge Fund Performance and Leverage

    80

    40

    60

    )

    73%

    72%

    53%66%

    70%

    68% 74%

    66%

    65%

    77%

    69%

    -20

    0

    20

    nnualalpha(percen 67%

    67%

    68%

    71%

    73%

    64%

    58%

    65%

    63%59%

    66%

    66%

    66%64%

    62%

    60%

    62%63%

    64%65%

    57%57%

    58%

    -60

    -4077%

    70%

    -80

    1994 1995 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006

    95th Percentile Alpha Average Alpha 5th Percentile Alpha Source: FRBNY calculations from TASS

    The red boxes indicate the percentage of funds in the top 5 percentile that use leverage.

    The blue boxes indicate the percentage of funds in the bottom 5 percentile that use leverage.

    The black boxes indicate the percentage of funds that use average leverage.

    Topandbottomperformershavehigherleverage

    In2005/06leverageishigh

    In1998leverageislow 57

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    Source: Jorion (2000) 58

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    Crowdedtrades?

    1998-08.8

    Figure 4: Cross-sectional Correlation of Hedge Fund Returns

    1998-08

    0

    15

    Figure 3: Cross-sectional Covariance of Hedge Fund Returns

    .2

    .4

    .

    Correlation

    0

    5

    1

    Covariance

    -.2

    0

    -10

    -5

    1994-01 1996-01 1998-01 2000-01 2002-01 2004-01 2006-01

    Cross-Sectional Correlation Cross-Sectional Correlation MA(12)

    1994-01 1996-01 1998-01 2000-01 2002-01 2004-01 2006-01

    Cross-Sectional Covariance Cross-Sectional Covariance MA(12)

    Vol declined greatmoderation59

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    Highfrequencystatarbs Highfrequency,ITdriven,shorttermreversalstrategies

    st th

    e.g.RenaissancesMedallionfund

    Low

    frequency

    quant

    funds Valuegrowth(HML)strategy,momentumstrategy,earningtosaleratio,accrualstotalassetsratio,o Orthogonalize (diversification)

    FXcarrytrades

    e.g.GoldmanSachsGlobalAlpha,AQR,

    became ver o ular crowded

    60

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    Why?Many(notonlyquant)fundsliquidaterelativelyliquidpositionsfirst liquidHMLsufferedevenmore

    Quantfundsfocusonsamefewquantstrategies

    o USfrom08/05/07+sharp(correlated)reboundon08/10/07

    o Europe/Japanfrom08/08/07onwards 61

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    E qu ity MarketNeutralInd ex Mac ro Ind ex G lob alIndex

    100

    105

    urn

    HFR indexes

    95

    CumulativeRe

    85

    /200

    7

    /200

    7

    /20

    07

    /20

    07

    /20

    07

    /200

    7

    /20

    07

    /20

    07

    /20

    07

    /200

    7

    /20

    07

    /20

    07

    /20

    07

    /20

    07

    Stat arb crisis

    6 6 6/1

    6/2

    6/2 7 7/

    17/

    27/

    2 8 8/1

    8/1

    8/2

    8/3

    Quant googols are needed to see it!62

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    APrimeronHedgeFunds History,Compensation,

    HedgeFundStrategies Performance

    alphaversusbetao staleprices

    o nonlinearpayoffs FocusI:MergerArbitrage

    o MitchellandPulvino,2001,CharacteristicsofRiskandReturninRiskArbitrage,JofFinance

    qu ty s an s anagement FundFlows

    LiquiditySpiralsandLeverage

    CorrelationacrossHedgeFunds

    FocusII:2007Quantcrisis63

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    Ste henJenSoverei nWealthFunds

    History

    fromvolatileoilprice

    Evolved

    from

    stabilization

    funds

    to

    wealth

    accumulation

    New:manyAsiancentralbanks

    o anagereservest roug s

    Size:US$2.9tr +300bnayear

    64

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    65

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    Diversifyacross Assets

    o sovereignbonds,agencies,corporate,equity,privateequity,realestate

    Countrieso LargeimpactonUSTreasuries

    Economicorstrategicinvestments

    Geo oliticaldimension

    Transparency Objectives,activities,performance

    66