speeches · January 12, 2005
Speech
William Poole · President
GSE Risks
St.LouisSocietyofFinancialAnalysts
St.Louis,Missouri
January13,2005
PublishedintheFederalReserveBankofSt.LouisReview,March/April2005,87(2,Part1),pp.85-91
Almost two years ago, in a speech at a FannieMaeandFreddieMacfacefivemajor
conference hosted by the Office of sourcesofbusinessrisk:creditrisk,prepayment
FederalHousingEnterpriseOversight risk,interestrateriskfrommismatchedduration
(OFHEO), I argued that government- ofassetsandliabilities,liquidityrisk,andopera-
sponsored enterprises (GSEs) specializing in the tionalrisk.Asixthrisk,so-calledpoliticalrisk,
mortgage market, especially Fannie Mae and arisesfromthepossibilityofregulatoryorstatutory
Freddie Mac, exposed the U.S. economy to sub- revisionsthatcouldadverselyaffectthosewho
stantialrisk,primarilybecausetheircapitalposi- holdthefirms’debtorequity.I’lldiscussthese
tions are thin relative to the risks these firms risksinturn,devotingmuchmoretimetosome
assume (Poole, 2003). I had a number of specific thanothers.Alongtheway,Iwillalsodiscussan
risks in mind, but did not elaborate the nature of extremelyimportantpointconcerningthefre-
these risks. My purpose here is to provide that quencyofoccurrenceoflargeinterestratechanges.
elaboration. I will concentrate on risks facing Thisissueiscriticaltounderstandingtherisksof
anystrategyinvolvingincompletehedging.
Fannie Mae and Freddie Mac, but it should be
understood that the Federal Home Loan Banks
raise many of the same issues.
AnunderstandingoftherisksfacingFannie CREDIT RISK
MaeandFreddieMac—whichIwillsometimes
Creditriskoccursbecausehomeownerscan
refertoas“F-F”tosimplifytheexposition—is
anddodefaultonmortgageloans.Eventhough
importantfromtwoperspectives.First,investors
defaultratesonmortgagesintheUnitedStates
shouldbeawareoftheserisks.Althoughmany arelow,inrecentyearslessthan1percent,they
investorsassumethatF-Fobligationsareeffec- arenotzeroandvaryconsiderablyacrossregions.
tivelyguaranteedbytheU.S.government,the Creditriskonmortgagescanbehandled,asinfact
factisthattheguaranteeisimplicitonly.Iwill FannieandFreddiedoveryeffectively,through
notattempttoforecastwhatwouldhappenshould apolicyofgeographicdiversificationandofnot
eitherfirmfaceasolvencycrisis,becauseIjust buyingasignificantnumberofhighloan-to-value
donotknow.WhatIdoknowisthattheissueis mortgages,aswellasthroughtheuseofmortgage
apoliticalone,andpoliticalwindschangein insuranceandguarantees.
unpredictableways. Inassessingcreditrisk,itisimportantnotto
Asecondreasontounderstandtherisksis focusjustonnationalaverageconditions.For
thatsoundpublicpolicydecisionsdependon example,althoughaveragehousepricesinthe
suchunderstanding.Toreducethepotentialfor UnitedStateshavenotdeclinedyeartoyearsince
afinancialcrisis,risksneedtobemitigated. theGreatDepression,1priceshavedeclinedin
1 Thisstatementmayormaynotbestrictlyaccurate.AnnualdataonnationalaveragenewhomepricesfromtheU.S.Censusstartin1963and
showsmalldeclinesinthelate1960sandearly1990s.Annualdataforthemediansalespriceofexistingsingle-familyhomesfromthe
NationalAssociationofRealtorsstartin1968anddonotexhibitanyannualdeclines.
1
FINANCIALMARKETS
particularsignificantmarkets.Someexamples However,formanyyearsF-Fhavebeenaccu-
wouldbeBoston1989-92,LosAngeles1991-96, mulatingaportfoliooftheirownMBSsand
SanFrancisco1991-95,andTexas1987-88.More directlyownedindividualmortgages.Forthetwo
formally,thedispersionofchangesinhouseprices firmstogether,theseportfoliosareverylarge,
andnotjustthenationalaverageisrelevantfor amountingtoover$1.5trillionattheendof2003.
judgingmortgagedefaultrisk. Thus,F-Fassumeprepaymentriskbyholding
Giventhathousepricesdosometimesdecline theseassets.
inparticularmarkets,itispossiblethatageograph- Underthemostconservativefinancialstrategy,
icallydiversifiedportfolioofmortgagescould FannieandFreddiecouldmitigatecompletelytheir
suffersignificantlosses.Therefore,todetermine prepaymentriskbyissuinglong-termcallable
thecapitalafirmneedstoholdagainstcreditrisk bondstofinancetheirholdingsoflong-termmort-
requiresnotonlyanalysisofthegeographical gageassets.Withsuchastrategy,thecashinflow
diversificationintheportfoliobutalsoananalysis fromtheassetsmatchesexactlythecashoutflow
ofrisksandlikelylossesgivenforeclosurein requiredtoservicetheliabilities,andinterestrate
varioushousingmarkets.FromeverythingIknow, andprepaymentriskareperfectlyhedged.
FannieandFreddiedoafinejobofmanaging
creditrisks,butIamnotonewhobelievescredit
riskscanbeignored.
A DIGRESSION ON FINANCIAL
ENGINEERING
PREPAYMENT RISK Inpractice,bothFannieandFreddiemake
limiteduseoflong-termcallablebonds.Rather,
FannieMaeandFreddieMacissuemortgage-
theyissuenon-callablelong-termbondsanda
backedsecurities(MBS)againstpoolsofconform-
significantamountofshort-termdebt.Doingso
ingmortgages—mortgageswithdollarvalueat
exposesF-Ftoprepaymentriskandinterestrate
orbelowtheconforminglimitthatqualifiesthe
riskfromamismatchofdurationofassetsand
mortgagesforF-Foperations.Allsuchmortgages
liabilities.Theythenusevariousdevicestoman-
havenoprepaymentpenaltiesandaretherefore
agetheriskscreated.
subjecttoprepaymentrisk.
BeforediscussingthewaysF-Fmanagepre-
Infinancelingo,thesefixed-ratemortgages
paymentandinterestraterisk,itisworthnoting
carryacalloption.Intheeventthatinterestrates
thatthemoreelaborateportfoliopolicyhasnoth-
fallduringthelifeofthemortgage,thehomeowner
ingwhatsoevertodowiththemortgagemarket
canexercisetheoptiontorefinancethemortgage,
perse.Considerthisanalogy:Aninvestment
effectivelycallingtheoutstandinghighinterest
companycouldownaportfoliooflong-termcor-
ratemortgageandreplacingitwithanewlower
poratebonds,mostofwhichbecomecallableat
interestrateobligation.Historically,theexercise
somepointbeforematurity.Wheninterestrates
ofthisoptionwasconstrainedbyrelativelyhigh
transactioncosts.Inrecentyears,however,trans- fall,corporationscallsuchbondsandrefinance
actioncostshavefallenconsiderablysothatthe withlower-ratebonds.Thephenomenonisexactly
calloptioninthetypicalfixedratemortgage thesameasthatobservedinthemortgagemarket,
instrumentcomesin-the-moneywithrelatively exceptthatcorporatebondshaveacertainnumber
smalldeclinesinmortgagerates.Suchrefiactivity ofyearsofcallprotectionwhenissuedandpaya
hasbeensubstantialinrecentyears. callpremiumwhencalled.
WhenFannieandFreddieissueMBSstobe AsfarasIknow,therearenoclosed-end
heldbytheinvestingpublic,buyersofthebonds investmentcompaniesthatholdaportfolioof
assumetheprepaymentrisk.FannieandFreddie corporatebonds,financedbytheirownissuesof
servicetheMBSsandguaranteethem,thusassum- shortandlongdebt.Thereason,Iconjecture,is
ingthecreditrisk. thatthereisnoimpliedfederalguaranteeonsuch
2
GSERisks
obligations,whichmeansthataninvestment longer-termandlesslikelyrateshocks;(3)Imple-
companycouldnotearnasatisfactoryspread mentadditionalhedgesasinterestratelevels
fromholdingaportfolioofmarketablecorporate change,andtheunlikelybecomeslikely”(Jaffee,
bondsfinancedbyitsownobligations. 2003,pp.16-17).Theterm“dynamichedge”refers
TheGSEs,however,havethebenefitofthe toastrategythatinvolvescontinuousrebalancing
impliedfederalguarantee,whichmakestheir ofthefirm’sportfolioinanattempttomaintain
financialengineeringprofitable.Becauseofthe acceptableriskexposures.Adynamichedging
impliedguarantee,F-Fcanoperatewithasmall strategycanbequitesuccessfulwhenpricesmove
capitalpositionandissuetheirownobligations continuously,insmallsteps,butisincreasingly
atratesthatarelittleabovethosepaidbytheU.S. ineffectivethelargerarepricediscontinuities,or
Treasury.ThespreadoverTreasuriesissmallerat pricejumps.
theshortendofthematuritystructurethanatthe Theadvantageofusingderivativesand
longend,whichiswhyF-Fissuelargeamounts imperfectdynamichedgingtomanageinterestrate
ofshort-termdebt.Thisfinancialengineeringhas riskisthatthesestrategiesarelesscostlythanthe
littletodowiththemortgagemarket,exceptthat perfecthedgeandperformequallywellwhenthe
F-Fareauthorizedtoholdmortgagesratherthan interestratevolatilityismoderate.Thedisadvan-
corporatebondsintheirportfolio.Thefinancial tageisthatpotentiallossesassociatedwiththe
engineeringhasnothingtodowiththemortgage unlikelyriskscanbeverylarge.
marketperseandeverythingtodowiththe
• Becauseofimperfectdynamichedging,F-F
impliedfederalguarantee.
maysufferasignificantlosswheneverthere
areunexpectedandlargeinterestratemove-
mentsineitherdirection.Formalmodelsof
INTEREST RATE RISK
dynamichedgingassumepricecontinuity
FannieandFreddiecreateinterestrateriskfor anddonotworkwellwhenpricesjump
themselvesbyfinancingtheirportfoliothrough discretelybylargeamounts.
amixtureoflong-termnon-callablebondsand
• FannieMaeandFreddieMacareexposed
short-termobligations.Bothfirmshaveobligations
tothecounterpartydefaultriskintheir
duewithinoneyearintheneighborhoodof50
derivativecontracts.Thecounterparty
percentoftotalliabilities.
defaultriskpersemaybesmallbecause
Havingcreatedprepaymentandinterestrate
bothfirmsrequireallcounterpartiestopost
riskbynotmatchingthecharacteristicsoftheir
collateralonaweeklybasis.However,ata
obligationstothecharacteristicsoftheirmortgage
timeofdisruptedfinancialmarkets,itwould
assets,F-Fmustthenpursuesophisticatedhedging
beverycostlytoreplacetheswappositions
strategies.Theyemploydebtandinterestrate
ofadefaultingcounterpartybecausethe
swapstocreatesyntheticlong-termobligations—
othercounterpartiesarelikelytohave
ashort-termobligationplusafixed-payswapeffec-
similarproblems.
tivelycreatesacashflowobligationthatmimics
thatofalong-termbond.Theyalsouseoptions—
inparticular,swaptions—tohedgetheprepayment
JUDGING THE SCALE OF
risk.
INTEREST RATE RISK
Finally,likemanylargefinancialfirms,
FannieMaeandFreddieMacemployastrategy Withouthighlydetailedinformationaboutthe
ofimperfectdynamichedging,whichinvolves hedgingstrategiespursuedbyF-F,itisimpossible
threesteps:“(1)Maintainverycompletehedges toofferaquantitativeassessmentofthescaleof
againstthelikely,near-term,interestrateshocks; interestraterisktowhichthefirmsareexposed.
(2)Uselesscompletehedgesorevennohedgesfor However,thefactthathedgingisincompleteraises
3
FINANCIALMARKETS
Figure 1
Trading Day Percentage Changes in On-the-Run 10-Year Treasury Note
Percentchange
6
Dayswhenon-the-runbondchanged are omitted
3
0
–3
–6
78 80 82 84 86 88 90 92 94 96 98 00 02 04
May May May May May May May May May May May May May May
1 1 1 1 1 1 1 1 1 1 1 1 1 1
NOTE:Dashedlinesshowarangeof±3.5standarddeviations.
warningflags.Thereasonisthatstandardhedging theyaretradedinahighlyliquidmarket,are
strategiesrelyontheassumptionthatchangesin employedextensivelyinhedgingstrategies.Price
securitiespricesfollowanormaldistribution— changesfortheTreasurybondforabout25years
thefamiliarbell-shapedcurve.TheBlack-Scholes areshowninFigure1.Theverticalaxismeasures
formulaforpricingoptionsassumes,forexample, thedailypercentagepricechange,andthedashed
thatassetpricesfollowanormaldistribution. bandsdefinearangeplusandminus3.5standard
Tojudgerisk,westartbycomputingthestan- deviationsfromthemean.
darddeviationfromalonghistoryofpricechanges Thefirstthingtonoteinthisfigureisthefre-
insomeparticularmarket.Thenormaldistribu- quencyoflargechanges.Roughly0.75percentof
tionisthebaselinecase.Whatweinfactobserve theTreasurybondpricechangesinthesampleare
are“fattails,”bywhichwemeanthatthereare greaterinabsolutevaluethan3.5standarddevia-
manymorelargepricechanges—changesoutin tions,morethan16timesthenumberofsuch
thetailsofthedistribution—thanexpectedwith outliersthatwouldbeexpectedfromanormal
anormaldistributionofthecalculatedstandard distributionofpricechanges.Letmerepeat—
deviation.Failuretotakeadequateaccountoffat thereare16timesmorepricechangesinexcess
tailsisresponsibleformanyfailuresoffinancial of3.5standarddeviationsthanexpectedwiththe
firmsovertheyears,suchasthe1998failureof normaldistribution.Assuming250tradingdays
LongTermCapitalManagement. inayear,onaveragebondpricechangesofthis
Akeysecurityinthecontextofthemortgage orgreatermagnitudeinabsolutevalueoccurtwice
marketisthe10-yearon-the-runTreasurybond. peryearinsteadofonceevery8years.Thenormal
Long-termmortgagesarepricedoffthe10-year distributionprovidesagrosslymisleadingpicture
Treasury,andTreasurybondsthemselves,because oftheriskoflargepricechanges.Reallylarge
4
GSERisks
changesof4.5ormorestandarddeviations—the clearlybyRichardPosnerinhisrecentWallStreet
onesthatcanbreakahighlyleveragedcompany— Journalop-edarticle(Posner,2005,p.A12)on
occuronly7timesinamillionunderthenormal theIndianOceantsunami.Posnerwrites:
distribution,butthereare11suchchangesinthe
TheIndianOceantsunamiillustratesa
6,573dailyobservationsinthefigure.
typeofdisastertowhichpolicymakers
Asecondpointtonotefromthefigureisthat
paytoolittleattention—adisasterthat
largechangestendtoclustertogether.Itappears
hasaveryloworunknownprobabilityof
thatmarketsgothroughperiodsofrelativevola-
occurring,butifitdoesoccurcreates
tilityandotherperiodsofrelativetranquility.
enormouslosses…Thefactthatacatas-
Clusteringisimportantbecauseafirmmaybe
tropheisveryunlikelytooccurisnota
rockedseveraltimesinquicksuccessionbylarge,
rationaljustificationforignoringtherisk
unanticipatedpricechanges.Incompletehedges
ofitsoccurrence.
againstlargepricechangesexposeafirmtocas-
cadingfailure. Ofcourse,thelossofscoresofthousandsof
livesinthetsunamiisnottobecomparedtothe
Thefattailsphenomenonhasbeendocu-
lossesfromafinancialcrisis.Nevertheless,the
mentedforawiderangeoffinancialinstruments
twodisastercasesillustrateanotherimportant
overmanydifferentsampleperiods.Benoit
pointaboutriskmanagement.Inthecaseofthe
MandelbrotandRichardHudsonrefertothese
tsunami,nothingcanbedoneabouttheprobabil-
featuresas“wildrandomness”(Mandelbrotand
ityofoccurrence;lossmitigationdependson
Hudson,2004,p.32).Theyconclude:
installingwarningsystems.Inthecaseoftherisk
Extremepriceswingsarethenormin
offinancialcrisis,thekeypolicyinterventionis
financialmarkets—notaberrationsthat toreducetheprobabilityoftheevent,bysuch
canbeignored.Pricemovementsdonot methodsasincreasingtheamountofcapitalfirms
followthewell-manneredbellcurve hold.
assumedbymodernfinance;theyfollow Iamalsoarguingthattheriskoffinancial
amoreviolentcurvethatmakesthe problemsatFannieMaeand/orFreddieMacis
investor’sridemuchbumpier.Asound notasremoteasitmightseem,becauseofthefat
tradingstrategyorportfoliometric tailsofthedistributionofpricechangesinasset
wouldbuildthiscold,hardfactintoits markets.Thesetwoobservations—enormous
foundations. potentialcostsandaprobabilityoffailurehigher
thancommonlyrealized—implythattherisksof
RobertEnglecharacterizesreturnsinfinancial
verylargeeventsmustbeidentifiedandcarefully
marketsthisway:“Returnsarealmostunpredict-
analyzedthroughextensive“stresstesting.”Then,
able,theyhavesurprisinglylargenumbersof
adequatecontrolsmustbeinstitutedtomitigate
extremevalues,andboththeextremesandquiet
theidentifiedrisks.
periodsareclusteredintime.Thesefeaturesare
ThisisexactlytheapproachthatMandelbrot
oftendescribedasunpredictability,fattails,and
andHudsonrecommend:“Sowhatistobedone?
volatilityclustering”(Engle,2004,p.407).
Forstarters,portfoliomanagerscanmorefre-
quentlyresorttowhatiscalledstresstesting.It
meanslettingacomputersimulateeverythingthat
MANAGING INTEREST RATE RISK
couldpossiblygowrong,andseeingifanyofthe
InmyspeechtotheOFHEOconference possibleoutcomesaresounbearablethatyouwant
almosttwoyearsago,Iemphasizedtheriskof torethinkthewholestrategy”(Mandelbrotand
systemic,worldwidefinancialcrisisshouldeither Hudson,2004,p.267).
FannieMaeorFreddieMacbecomeinsolvent. Bythiscriterion,incompletehedgingof
Theargumentwasthesameasthatstatedso longer-termandlesslikelyinterestrateshocksis
5
FINANCIALMARKETS
notanadequateriskmanagementstrategyfor casesseniorexecutiveshaveleftthefirmsand
GSEs.Capitalratiosthatarenottestedagainst auditattestationshavebeenquestioned.Bothfirms
extremeeventsdonotadequatelymitigatethe havebeenrequiredtorestateearningsforanumber
interestrateriskfacedbysuchinstitutions. ofyears.InvestigationsbyOFHEO,theSEC,and
theDepartmentofJusticeareongoing.
Accountingproblemswerenotonmyradar
LIQUIDITY RISK screenwhenIfirstbecameconcernedaboutGSE
risk.Therecentrevelationsareanotherexample
FannieMaeandFreddieMacmustrollover
ofourinabilitytopredictshocksthatwillimpact
roughly$30billionofmaturingshort-termobliga-
ourfinancialsystem.EventhoughtheassetsF-F
tionseveryweek.Atatimeofdisruptedfinancial
holdarerelativelysimple—residentialrealestate
markets,thecreditmarketsmightrefusetoaccept
mortgagesandmortgage-backedsecurities—the
theF-Fpaper.“FannieMaeandFreddieMac
firmsthemselvesarecomplexorganizations
recognizethisriskandbothfirmsindicatethey
becauseoftheirscaleandthefinancialengineer-
maintainsufficientliquiditytosurviveforsome
ingtheyemploy.Theaccountingproblemsprovide
time(3monthsorlonger)withoutaccessto
anexampleofoperationalrisk;otheraspectsof
rollovermarkets…[However,]theU.S.General
F-Foperations,suchastheautomatedunderwrit-
AccountingOffice(1998)hasalsopointedoutthat
ingprocedures,arealsosubjecttooperational
holdingsecuritiesintheirinvestmentportfolios
risk.Itremainstobeseenhowtheaccounting
forliquiditypurposesrepresentsahighlyprofit-
restatementswillaffectthemarket’sviewofF-F
ablearbitragefor[bothfirms],sincethereturnon
earningsandcapitaladequacy.Clearly,though,
theassetsexceedsthecostoftheagencybonds
F-Fneedtoholdcapitalagainstoperationalrisk.
usedtofundthepositions”(Jaffee,2003,p.16).
Therefore,ifFannieMaeandFreddieMacare
unabletosellnewdebt,thentheymayalsobe
POLITICAL AND REGULATORY
unabletocarryoutsalesofthe“liquid”securities
fromtheirinvestmentportfolio. RISK
Idiscussedliquidityriskatsomelengthina
Fromanarrowmarketperspective,akeyissue
speechlastspring(Poole,2004).Iwon’trepeat
iswhetherthefederalgovernmentwouldbailout
thatanalysis,butthebottomlineissimple:The
FannieMaeand/orFreddieMacshouldthesol-
FederalReservehasadequatepowerstoprevent
vencyofeitherfirmbethreatened.Butthatistoo
thespreadofaliquiditycrisis,butcannotpre-
narrowaperspective,evenforaholderofF-F
ventasolvencycrisisshouldFannieorFreddie
obligations.
exhausttheircapital.Intheeventofasolvency
Iftherewereasolvencycrisis,theoutcome
crisis,themarketwouldbecomeunreceptiveto
wouldcertainlyinvolveextensivechangesinthe
Fannieand/orFreddieobligations;theywould
powersandcharacteristicsofthefirms.Institu-
havedifficultyrollingovertheirmaturingdebt.
tionsholdingF-Fobligations,directorguaranteed,
Moreover,theiroutstandingobligationswould
wouldmostlikelyhavetoaltertheirportfolio
declineinpriceandtheirmarketswouldbecome
practices.Moreover,evenifthefederalgovern-
lessliquid.Beyondthat,itishardtosayexactly
mentbailedoutF-F,theirobligationsmightbe
whatelsemighthappen.
redeemedeventuallybutceasetotradeactively
inliquidmarkets.Finally,thereisofcourseno
guaranteethatthefederalgovernmentwouldin
OPERATIONAL RISK
factbailoutF-F.Manyobservers,myselfincluded,
Inthepasttwoyears,therehavebeensurpris- believethatabailoutwouldnotbeagoodidea.
ingnewsreportsofaccountingirregularities,first Thebottomlineisthatthereissubstantial
atFreddieandmorerecentlyatFannie.Inboth uncertaintyoverthefutureregulatorystructure
6
GSERisks
thatwillapplytoFannieMaeandFreddieMac bethatthehighlyvolatileinterestrateenviron-
andoverthelikelybehaviorofthegovernment mentoftheearly1980sisextremelyunlikelyto
shouldthesolvencyofeitherfirmcomeinto recur,butIwouldliketoseeF-Fmaintaincapital
question. positionsthatwouldenablethefirmstowithstand
suchanenvironmentanyway.
OnethingIthinkIknowforsureisthis:An
CONCLUDING REMARKS investorwhoignorestherisksfacedbyFannie
MaeandFreddieMacundertheassumptionthat
Mypurposehasbeentoprovideanoutlineof
afederalbailoutiscertainshouldtherebeaprob-
alltherisksfacingFannieMaeandFreddieMac.
lemismakingamistake.
Therearesixriskstoconsider:creditrisk,pre-
paymentrisk,interestrateriskfrommismatched
durationofassetsandliabilities,liquidityrisk,
REFERENCES
operationalrisk,andpoliticalrisk.Muchmore
couldbesaidabouteachoftheserisks,butI Engle,Robert.“RiskandVolatility:Econometric
thoughtitwouldbeusefultodiscusseachof ModelsandFinancialPractice.”AmericanEconomic
thembrieflyinordertohaveacompletecatalog. Review,June2004,94(3),pp.405-20.
I’veparticularlyemphasizedtheimportance
offacinguptotheimplicationsoflow-probability Jaffee,Dwight.“TheInterestRateRiskofFannieMae
events.Alowprobabilitymustnotbetreatedas andFreddieMac.”JournalofFinancialResearch,
2003,24(1),pp.5-29.
ifitwereazeroprobability.Moreover,extensive
evidencefrommanydifferentfinancialmarkets,
Mandelbrot,BenoitandHudson,RichardL.The
reinforcedbysimilarfindingsincommodity
(Mis)BehaviorofMarkets.NewYork:BasicBooks,
markets,indicatesthatpricechangesinasset
2004.
marketsarecharacterizedbyfattails.Theproba-
bilityoflargepricechangesismuchhigherthan
Poole,William.“HousingintheMacroeconomy.”
suggestedbythefamiliarnormaldistribution.In
FederalReserveBankofSt.LouisReview,May/June
thecaseofthe10-yearTreasurybond,changes
2003,85(3),pp.1-8.
of3.5standarddeviationsormoreare16times
morefrequentthanexpectedunderthenormal
Poole,William.“TheRisksoftheFederalHousing
distribution. Enterprises’UncertainStatus.”PanelonGovernment
Moregenerally,theprobabilityofshocksof SponsoredEnterprisesandTheirFuture.In
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Unlikethesituationinfinancialmarkets,where Posner,RichardA.“TheProbabilityofaCatastrophe...”
awealthofdatapermitssomeformalprobability WallStreetJournal,January4,2005,p.A12.
estimates,theprobabilityofothersortsofevents
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SponsoredEnterprises:FederalOversightNeedfor
IbelievethatthecapitalheldbyF-Fshouldbe
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Washington,DC:1998.
requiredshouldanunlikelyeventoccurrather
thanbyanestimateoftheprobabilityitself.Itmay
7
Cite this document
APA
William Poole (2005, January 12). Speech. Speeches, Federal Reserve. https://whenthefedspeaks.com/doc/speech_20050113_poole
BibTeX
@misc{wtfs_speech_20050113_poole,
author = {William Poole},
title = {Speech},
year = {2005},
month = {Jan},
howpublished = {Speeches, Federal Reserve},
url = {https://whenthefedspeaks.com/doc/speech_20050113_poole},
note = {Retrieved via When the Fed Speaks corpus}
}