Crisis in Local Govt Pensions

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    TheCrisisinLocalGovernmentPensionsintheUnitedStates*

    ROBERTNOVYMARX,UNIVERSITYOFROCHESTERANDNBER

    JOSHUARAUH,KELLOGGSCHOOLOFMANAGEMENTANDNBER

    October2010

    Abstract

    WecalculatethepresentvalueoflocalgovernmentemployeepensionliabilitiesasofJune2009for

    approximately2/3rdsoftheuniverseoflocalgovernmentemployees.Usinglocalgovernmentaccounting

    methods,thetotalunfundedliabilityintheseareasis$190billionorover$7,000permunicipal

    household.Whengovernmentaccountingiscorrectedbydiscountingalreadypromisedbenefitsatzero

    couponTreasuryyields,thetotalunfundedobligationis$383billionorover$14,000perlocal

    household.If

    on

    aper

    member

    basis

    the

    unfunded

    liability

    is

    the

    same

    for

    the

    1/3

    rd

    of

    workers

    covered

    bymunicipalplansnotinoursample,thetotalunfundedliabilityforallmunicipalplansintheU.S.is

    $574billion.Thisunfundedpromiseisaboveandbeyondtheroughly$3trillion(oralmost$27,000per

    household)unfundedliabilityofallstatesponsoredpensionplansintheU.S.ManyU.S.citiesare

    thereforecarryingsubstantialoffbalancesheetdebtintheformofunfundedpensionobligations.We

    alsoidentify6majormunicipalitieswhosecurrentpensionassetswouldonlybesufficienttopay

    alreadypromisedbenefitsthrough2020,and20whosecurrentpensionassetswouldonlybesufficient

    topayalreadypromisedbenefitsthrough2025.

    *NovyMarxisAssistantProfessorofFinanceattheSimonGraduateSchoolofBusiness,UniversityofRochester.

    JoshuaRauhisAssociateProfessorofFinanceattheKelloggSchoolofManagement,NorthwesternUniversity.

    PreparedfortheBrookingsNomuraWhartonConferenceGrowingOld:PayingforRetirementandInstitutional

    MoneyManagementaftertheFinancialCrisis.WethankSuzanneChangandKevinSoterforresearchassistance.

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    Introduction

    Stateandlocalgovernmentsfollowthesameaccountingframeworkformeasuringthevalueof

    theirpensionpromises.ThestatementthatgovernstheirdisclosuresisGovernmentAccounting

    StandardsBoard(GASB)statement25,whichstipulatesthatbenefitpromisesaretobediscountedatan

    assumedreturnonpensionplanassets.Thisassumedreturndetermineshowthefuturestreamofcash

    benefitsthatthestateorlocalgovernmenthaspromisedgetsconvertedintoapresentvalueliability

    measure.Italsogovernstheactuarialrecommendationfortheannualamountthatstateandlocal

    governmentssetasidetofundnewlypromisedbenefits.Thehighertheassumedreturn,thelowerthe

    presentvalueofrecognizedbenefitcashflows,andthelessmoneythegovernmententitysetsasideon

    aflowbasistocoveragivenbenefitstream.

    Aswehavepointedoutbefore(NovyMarxandRauh(2009,2010a,2010b)),thissystem

    misrepresentsthevalueofpensionpromises.Thefieldoffinancialeconomicsisunifiedontheconcept

    thatthepresentvalueofastreamofcashflowsisafunctionoftheriskofthecashflowsthemselves.

    Thevalueofaliabilitythereforedependsontheriskofthestreamofcashflowsassociatedwiththat

    liability,

    not

    on

    the

    assets

    that

    back

    the

    liability.

    IfhouseholdscouldusetheGASBaccountingsystem,thentheycouldwritedownthevalueof

    theirmortgagesbysimplyreallocatingtheirsavingsfromamoneymarketaccounttoaninvestmentin

    thestockmarket.Bydoingso,theywouldincreasetheexpectedrateofreturnontheirassets,andget

    tousethishigherratetodiscounttheirdebts.Ifstateandlocalgovernmentstookfurtheradvantageof

    thissystem,theycouldmaketheirliabilitiesessentiallydisappearbytakingonriskyinvestmentswith

    highaverage

    returns

    and

    high

    risk.

    Inpreviousworkwehaveshownthatthetotalliabilityforthemajorpensionplanssponsoredby

    the50U.S.stategovernmentsisapproximately$5trillionusingTreasurydiscountrates,contraryto

    governmentaccountingwhichwouldpointtototalliabilitiesofonly$3trillion.Theunfundedliabilityfor

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    themajorpensionplanssponsoredbythe50U.S.stategovernmentsisapproximately$3trillionusing

    Treasurydiscountrates,contrarytogovernmentaccountingwhichwouldpointtounfundedliabilitiesof

    only$1trillion.

    Inthispaper,weexaminemunicipalpensionpromises.Inparticular,weapplyfinancialvaluation

    to77pensionplanssponsoredby50majorcitiesandcounties.Thissamplerepresentsallnonstate

    municipalentitieswithmorethan$1billioninpensionassets,covering2.04millionlocalpublic

    employeesandretirees.AccordingtotheU.S.CensusofGovernments,thereareatotalof3.03million

    individualscoveredby2,332localpensionplansintheUnitedStates.1Thus,whilewecaptureonly3%of

    municipalpensionplans,wecaptureabout2/3rdoftheuniverseofmunicipalworkers.

    Accordingtothelatestreportsissuedbythegovernmentsthemselves,thesemunicipalitieshave

    $488billioninliabilities.Whenwereverseengineerthecashflowsandlimittherecognitiontoonly

    thosebenefitsthathavebeenpromisedbasedontodaysserviceandsalary,thisfiguredropsto$430

    billion.WhenweusetaxableAA+municipalyieldcurvestodiscountthem,weobtainliabilitymeasures

    thatarearound18%larger.WhenweusetheTreasuryyieldcurve,wefindatotalliabilityof$681

    billion,

    which

    is

    39%

    above

    the

    stated

    level

    and

    58%

    above

    the

    already

    promised

    benefit

    at

    municipally

    chosenrates.Netoftheassetsintheplans,theunfundedliabilityis$383billionusingTreasury

    discounting,orover$5,300percapitaandover$185,000permember.Ifonapermemberbasisthe

    unfundedliabilityisthesamefortheapproximately1millionlocalworkerscoveredbymunicipalplans

    notinoursample,thetotalunfundedliabilityforallmunicipalplansintheU.S.wouldbe$574billion.

    Themunidiscountingmethodcreditscitiesthatexperienceratingsdowngradeswithlower

    liabilities.If

    local

    taxpayers

    could

    default,

    or

    put

    the

    responsibility

    to

    pay

    pensions

    back

    to

    some

    other

    entity,inthesamestatesoftheworldascitymunicipaldefaults,thenmunidiscountingwouldrepresent

    1Seethe2008surveyofState&LocalGovernmentEmployeeRetirementSystems:

    http://www2.census.gov/govs/retire/2008ret05a.xls.

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    theirexposure.However,giventhelegalprotectionsthatexistforstateandlocalgovernmentpensions

    inmanystatesaswellasthepoliticalrealitythatinpastmunicipalcrisesthepensionshavebeenpaid

    whilethelocalitiesbondshavebeenimpairedabettermeasureofoveralltaxpayerliabilityisobtained

    bytreatingaccruedpensionbenefitsasadefaultfreepromiseanddiscountingusingTreasuryyields.

    Forthestates,implementingTreasurydiscountratesincreasestotalliabilitiesbyaround66%,

    whereasinthemunicipalitieswestudytheimpactissomewhatsmallerat39%.Thisreflectsthefactthat

    theretiredmembershareinthemunicipalplansaverages43%,whiletheretiredmembershareinthe

    stateplansaveragesonly36%.Asaresult,themunicipalplanshaveshorterdurationthanthestate

    plansandarelessaffectedbythecorrectionofthediscountrates.

    The$0.6trillionunfundedliabilityinmajormunicipalitiesobviouslyismuchsmallerthana$3

    trillionunfundedliabilityforstategovernments.Relativetothemunicipalitiesresourcesandtaxes,

    however,theunfundedliabilityislarge.The50municipalitieswiththe$382billionunfundedliability

    thatwemeasurehad2006revenuesof$120billion.Theunfundedliabilityisthereforeequivalentto3.2

    fullyearsofrevenue.Forthecomparabletimeperiod,the116statesponsoredplanshada$2.52trillion

    unfunded

    liability

    and

    $0.78

    trillion

    in

    revenues,

    for

    a

    ratio

    of

    3.2

    full

    years

    of

    revenue.

    Thus,

    relative

    to

    thepublicentityscurrenttaxresources,theextentofthegapbetweenassetsandliabilitiesinthe

    municipalisalmostexactlythesameasinstateplans.

    Thispaperproceedsasfollows.InSection1wepresentthesampleandourcalculationsof

    municipalpensionliabilitiesundercurrentreporting.InSection2wereviewthedifferentmethodsof

    recognizingaccrualsandtheargumentsaboutappropriatediscountrates.Section3presentsourmodel

    fortranslating

    among

    liability

    concepts

    and

    for

    calculating

    municipal

    pension

    liabilities

    using

    different

    yieldcurves.InSection4wedescribethepresentvaluecalculationsunderalternativeyieldcurves.In

    Section5wecalculatethenumberofyearsthattheexistingassetsofeachmunicipalitycouldpay

    benefitsatcurrentlypromisedlevels.Section6summarizesandconcludes.

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    1.SampleandMunicipalPensionObligationsUnderCurrentReporting

    Thesampleconsistsof77definedbenefitpensionsystemssponsoredbylocalgovernments.The

    samplewasidentifiedusingthedetailed2006datafromtheU.S.CensusofGovernments.Wefirst

    selectedallplanswithmorethan$1billionofassetsasof2006,thelatestyearforwhichthedetailed

    censusofstateandlocalgovernmentretirementsystemswasavailable.Thisamountedto78plans.We

    thenaddedanyotherplanssponsoredbythesamelocalgovernmententitieswithatleast$100million

    inassets,yieldingatotalof90plans,soastoensurethatforanyofthemunicipalitiesinoursample,all

    substantivepensionplanswouldbecounted.2Wethenconstructedauniquedatasetbysearchingthe

    localgovernmentwebsitesfortheComprehensiveAnnualFinancialReports(CAFRs)oftheseplans.Due

    todataavailabilityissues,wewerealsoforcedtodiscardtheplansfromseveralmajormunicipalities

    includingDenver(CO),Austin(TX)andMinneapolis(MN).Thefinalsampleis77pensionsystemsin50

    majormunicipalities.

    Table1presentssummarystatisticsonthemembershipofthese77systems,aswellas

    membershipdataforthelargest10plansbytotalmembership.Thereare2.04millionworkersinthese

    plans,

    compared

    to

    3.03

    million

    total

    workers

    covered

    by

    local

    government

    pension

    plans

    in

    the

    U.S.

    CensusofGovernments.Onaverage,53%oftheworkersinthesampleplansarecurrentemployees.

    Systemsthathavealargershareofactiveworkerswillfacelargerbenefitcashflowsfurtherinthe

    futureandthedurationoftheircashflowswillbelonger.

    EachmunicipalityreportsameasureoftotalliabilitiesintheCAFR.Astartingpointfortotal

    liabilitieswouldbesimplytotakearawsumofliabilitiesfromthesereports,whichyieldsatotalof$464

    billion.However,

    the

    date

    of

    the

    latest

    available

    CAFR

    is

    not

    the

    same

    for

    each

    system,

    so

    the

    liabilities

    2Therewere277totalplanswithmorethan$100millioninassetsasof2006.

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    mustbeharmonizedtoaJune2009reportingdate.3Assuminga6%benefitgrowthrate(whichactually

    isconservativerelativetotheratethatstatedbenefitshavebeengrowing),wearriveattotalliabilities

    of$488billionasofJune2009onastatedbasis.

    Rediscountingofcashflowsunderdifferentactuarialaccrualconceptsanddifferentyield

    curvesrequiresanestimateofthecashflowsthemselves.Unfortunately,thelocalgovernmentsdonot

    providethecashflowsthattheyusetoderivetheliabilitiesthattheyreport.Toderiveestimatesofcash

    flowstreamsbasedontheinformationprovidedintheCAFRsthereforerequiresacalibratedmodeland

    aseriesofassumptions.Weexplainthecalibrationitselfinsection3.

    2.AccrualMethodsandDiscountRates

    Mostestimatesofliabilitiesthatarenotconductedbyeconomistssimplyadduptheliabilities

    thataredisclosedintheCAFRs.Thismethodignorestwoissues.First,itreliesstrictlyontheliability

    conceptthatstateactuarieschoosewithoutaconsiderationofwhatliabilitiesareactuallybeing

    recognized.Second,addingliabilitiesdisclosedintheCAFRstakesasgivenwhateverdiscountratethe

    stateactuarieshavechosen.

    A.Liability

    Concepts

    Therearefourdifferentliabilityconceptsthatweconsider:AccumulatedBenefitObligation

    (ABO),ProjectedBenefitObligation(PBO),EntryAgeNormal(EAN),andProjectedValueofBenefits

    (PVB).Webeginthissectionbydescribingtheseconcepts.

    ThenarrowestmeasureistheABO.Itreflectsbenefitsalreadypromisedandaccrued.Inother

    words,evenifthepensionplanscouldbecompletelyfrozen,acitywouldstillcontractuallyowethese

    benefits.The

    ABO

    is

    not

    affected

    by

    uncertainty

    about

    future

    wages

    and

    service,

    as

    the

    cash

    flows

    3Thedistributionoflatestreportingdatesisasfollows:June2007(1),September2007(1),December2007(3),

    June2008(23),September2008(5),December2008(17),June2009(22),September2009(2),December2009

    (3).

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    associatedwiththeABOarebasedoninformationknowntoday:planbenefitformulas,currentsalaries

    andcurrentyearsofservice.OnesourceofuncertaintyintheABOisinflation,andinparticularthe

    magnitudeofCOLAadjustmentsincitieswhereCOLAsarelinkedtoofficialstatisticssuchasCPI

    inflation.

    TheABOisoftenthoughtofasaterminationliability,i.e.theliabilitythatwouldbeowed

    todayevenifplanswerefrozencompletelyorallworkerswerefired.Infact,theABOactuallycouldbe

    somewhatlessthanaterminationliability,asitassumesanemployeedoesnotstarttakingbenefits

    untilhisretirementdate,whichmightbelaterthanthefullretirementage.Aterminationliability

    assumesthatemployeeswilltakebenefitsattheearliestadvantageousdate,whichtypicallywillbe

    earlierthanthefullretirementagegiventhefactthatactuarialadjustmentsforearlyretirementare

    generallylessthanactuariallyfair.

    Ifworkersreceivetheirmarginalproductintotalcompensation(wagespluspensionbenefits),

    theABOistheonlyconceptthatshouldbeconsideredsinceitmeasuresthebenefitsthatemployees

    haveactuallyearned(Bulow(1982),BrownandWilcox(2009)).TheABOisanarrowmeasureinthatit

    does

    not

    recognize

    any

    future

    wage

    increases

    or

    future

    service

    that

    employees

    are

    expected

    to

    provide,

    eventhoughsuchwageincreasesandservicearetosomeextentpredictable.Moreover,theABO

    obligationisindependentofwagerisk,whichsimplifiesthevaluation.

    Thethreebroadermeasures(PBO,EAN,andPVB)allaccounttovaryingextentsforthefactthat

    benefitswillcontinuetoaccrueduetothefuturesalaryand/orserviceofexistingworkers.Theyassume

    thatthepensionsystemwillnotbefrozentodayandallaimtoreflectsomeportionofactualexpected

    benefits.

    Thebroadestmeasure,thePVB,representsadiscountedpresentvalueofthefullprojectionof

    thecashflowsactuariesexpectthecitytoowe.ThePVBmethoddoesnotcreditthegovernmentforthe

    factthatitmighthavesomeabilitytolimitbenefitaccruals.BoththeEANandthePBOrecognizea

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    fractionofthePVB.ThePBOandtheEANarethereforeintermediatemeasuresbetweentheABOand

    thePVB.

    ThePBOaccountsfullyforexpectedfuturewageincreasesforexistingworkers,butnot

    expectedfutureservice.Mathematically,thePBOformularecognizesthePVBinawaythatisprorated

    byservice.NotethatFASBaccountingforpubliclytradedcorporationsrequiresthecalculationofaPBO.

    TheEANisbroaderthanthePBO,butnotasbroadasthePVB.Mathematically,theEANmethod

    recognizesthePVBinproportiontodiscountedwagesearnedtodaterelativetodiscountedexpected

    lifetimewages.Inpractice,thisprocedureaccountsforsomeportionoffuturebenefitaccrualsdueto

    bothwagesandfutureservice.

    Table2summarizestheliabilityconcepts.Furtherdetails,includingformulas,areprovidedin

    NovyMarxandRauh(2010a).Wenotethatnoneofthesemethodsaccountfortheexpectedbenefits

    thatwillbeowedtoworkerswhohavenotyetbeenhired.

    B.DiscountRatesAsexplainedinNovyMarxandRauh(2009,2010),thediscountratethatstateandlocal

    governments

    use

    under

    GASB

    accounting

    procedures

    does

    not

    reflect

    the

    risk

    of

    the

    liabilities.

    Discountingliabilitiesatanexpectedrateofreturnontheassetsintheplanrunscountertotheentire

    logicoffinancialeconomics:financialstreamsofpaymentshouldbediscountedataratethatreflects

    theirrisk(ModiglianiandMiller(1958)),andinparticulartheircovariancewithpricedrisks(Treynor

    (1961),Sharpe(1964),Lintner(1965)).

    Governmentsdiscounttheliabilitiesataflatrate,andusuallythisrateisverycloseto8%.As

    shownin

    Table

    3,

    the

    mean

    discount

    rate

    for

    the

    77

    systems

    in

    our

    sample

    is

    8.03%,

    the

    median

    rate

    is

    8.00%,andthestandarddeviationis0.36%.Themodelrateis8.00%,usedby33ofthe77systems.

    Governmentsjustifytheirdiscountrateswiththeargumentthattheyarediscountingliabilitiesatthe

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    expectedrateofreturnontheassetsintheirpensionfund.Suchaprocedureignorestheriskofthe

    assetscompletelyandtreatsreturnsabovetheriskfreerateasafreelunch.

    TheGASBprocedureshavesurvivedcriticisminpartbecauseobservershavenotedthatmany

    pensionsystemshaveearnedaveragereturnsofaround8%overthepastdecades.Butagain,this

    assumesthatthe8%wasobtainedwithoutanyrisk.Infact,thesereturnswereobtainedbytaking

    investmentrisk,andiftheassetshadnotreturned8%,taxpayerswouldhavebeenonthehookfor

    additionalshortfalls.Ifsystemswanttobeabletotelltheiremployeesthatthebenefitstreamissafer

    thanaportfolioofstocksandbonds,theyshoulddiscountthecashflowsinawaythatreflectsthat

    safety.

    NovyMarxandRauh(2010a)employtwoprimarydiscountingprocedures.Thefirstusesthe

    taxablemunirate,definedasthelocalmunicipalyieldgrossedupforataxpreferenceonmunidebt,

    assuminga25%marginalrateforthemarginalmunicipalbondholder(PoterbaandVerdugo(2008)).

    ThesecondmethodusestheTreasuryyieldcurve.

    Usingthemunirateadmitsandquantifiesaprobabilityofdefault.Theliabilityisameasurethat

    calculates

    the

    present

    value

    of

    this

    defaultable

    liability

    from

    the

    perspective

    of

    the

    taxpayers

    under

    the

    assumptionthatthemunicipalitieswilldefaultonthesepaymentsinthesamestatesoftheworldason

    theirgeneralobligationdebtandwiththesamerecoveryrates.Alternatively,itisthevalueofthe

    portfoliooflocalGObondsthemunicipalitieswouldneedtodelivertotheplantodefeasethe

    obligation.Whenassessingthedifferenceintheliabilityunderdifferentpolicymeasures,the

    comparativestaticsquantifyhowbigtheshiftisinthevalueoftheseuncertainpayments

    Discountingaliability

    at

    the

    taxable

    muni

    rate

    captures

    some

    of

    the

    spirit

    of

    the

    FASB

    rules

    for

    corporatepensiondiscounting.TheFASBruleletscorporationsdiscountpensionobligationsathigh

    gradecorporatebondrates.Discountinglocalpensionobligationsatmunicipalbondratesbears

    similarityinthatthecreditworthinessoftheassetclass(municipalorcorporatebonds)playsarole.In

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    thispaper,weassumethattheAA+yieldcurvewouldbeappropriateforallmunicipalitiesunderthis

    procedure.4

    CreditinggovernmentsbyreducingpensionliabilitiesbasedonGOdefaultpremiumsleadsif

    anythingtoanunderstatementoftheliabilitytothetaxpayer.Mostimportantly,benefitsareoften

    givenspecialprotectionsinstateconstitutionsaswellasthroughstatutoryandcommonlaw(Brownand

    Wilcox(2009)).Thepriorityaccordedtopublicpensioncashflowssuggeststhattheyshouldbe

    discountedatrateslowerthantheGObondyield.Inmostlocalgovernmentsituations,apension

    defaultislesslikelythanaGOdebtdefault(considerVallejo,CA).Evenifcitiesweretodefaulton

    pensionpromises,pensionobligationsmightwellhaveahigherrecoveryratethanGOdebt.Somewhat

    offsettingthisisthepossibilitythatmunicipalitiesmightreceiveabailoutfromstateorfederal

    governmentforthesepensionpromises(considerHarrisburg,PAforexample),inwhichcasetaxpayers

    ofagivencitymightviewthepensionliabilitiesaslesscertainlyowedbythem.However,becauseour

    focusisonanaggregateliabilitycalculationacrossmunicipalities,thisissuewouldaffectthedistribution

    ofliabilitiesacrosscitiesandstatesbutnotthetotalliabilitytoallUStaxpayers.

    Using

    the

    Treasury

    yield

    curve

    values

    the

    pension

    benefits

    as

    secure

    promises.

    The

    Treasury

    valuationsbeginfromthepremisethatthebenefitswillbepaid.Totheextentthattheyarenotpaid,

    thereisatransferfromparticipantstotaxpayers.Theexpectedvalueofthesetransferswouldreduce

    thevalueofthepaymentstotheparticipantsbutalsoreducethecosttothetaxpayer.TheTreasury

    discountingcanthereforebeviewedasvaluingthebenefitsasadefaultfreepromise.Iflocalpension

    systemswanttopresenttotheiremployeestheideathatthebenefitsaredefaultfree,theymust

    4Therearesomeadditionalimportantdifferences.First,FASBrulesrequirefirmstorecognizethePBO,whereas

    ourprimaryfocusisontheABO.Second,afirmwillowelittlebeyondtheassetsinthepensionfundifthefirm

    becomesinsolvent,sincethePBGCwilltakeovertheplanandbecomeanunsecuredcreditorinbankruptcy.States

    arenotinsuredbythePBGC,andevenifthestatedefaultsonitsdebt,thereisahighlikelihoodthatitwillhaveto

    paypensions.

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    discountatdefaultfreerates.Ifalocalpensionsystemwantedtocontractouttheprovisionofthe

    benefitstoaninsurerwhowouldmakethebenefitpaymentsevenifthemunicipalityinthefuture

    defaultedonsomeofitsobligations,theinsurancecompanywouldpresumablyvaluetheliabilityata

    defaultfreerate.

    ThereareimportantcaveatsaboutusingtheTreasuryyieldcurveasameasureofriskina

    defaultfreepensionliability.AlthoughtheTreasuryyieldcurveisgenerallyviewedasdefaultfree,it

    reflectsotherrisksthatmaynotbepresentinthepensionliability.Stateemployeepensionstypically

    containCOLAs.Ifinflationriskispriced(Fisher(1975),Barro(1976)),thenanappropriatedefaultfree

    pensiondiscountratewouldinvolveadownwardadjustmentofnominalyieldstoremovetheinflation

    riskpremium.ThisadjustmentwouldfurtherincreasethepresentvalueofABOliabilities.However,a

    countervailingfactoristhefactthatTreasuriestradeatapremiumduetotheirliquidity(Woodford

    (1990),DuffieandSingleton(1997),Longstaff(2004),KrishnamurthyandVissingJorgensen(2008)).

    PensionobligationsarenowherenearasliquidasTreasuries.Thereforealiquiditypricepremiumshould

    ideallyberemovedfromTreasuryratesbeforeusingthemtodiscountdefaultfreebutilliquid

    obligations.

    Giventhelackofconsensusovertherelativesizeoftheliquiditypricepremiumandinflation

    yieldpremium,weuseunadjustedTreasuryratestocalculateourdefaultfreeliabilitymeasures.

    However,wenotethatduetothesefactorspricedintotheTreasurycurve,defaultfreepublicpension

    obligationsarenotequivalenttoTreasuries.5

    3.CalculatingLiabilitiesUnderDifferentAccrualConceptsandDiscountRates

    5NovyMarxandRauh(2010a)alsonotethatifwagesarecorrelatedwiththestockmarketoverlonghorizons,

    somecorrectionforthatcorrelationmightbeusefulinthediscountfactor,butonlyforthebroadermeasures.The

    ABOisindependentoffuturewagegrowth.

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    NovyMarxandRauh(2010a),whichconsidersstateplans,providesadetailedaccountofour

    methodology.Thebasicchallengeisthatplansarediscountingcashflowsusingasimplediscounted

    cashflowformula:

    However,plansdonotreportthecashflows(Ci,t),whichappearinthenumerator.

    Ourmodeldeliversaforecastofeachplan'scashfloweachyearinthefutureunderthe

    differentaccrualconcepts.Themodelusesplanlevelinformationregardingthenumberofactive,

    retiredandseparatedworkers,aswellasthebenefitfactor(i.e.,thefractionofsalarywhich,when

    multipliedbyyearsofservice,determinesaparticipant'sinitialbenefit),costoflivingadjustment(COLA)

    andinflationassumptionemployedbytheplan.WecollectthisinformationindividuallyfromtheCAFRs.

    Thecalculationalsoemploysassumptionsregardingtherelativenumberofemployeesandaverage

    wagesbyageandyearsofservice(anageservicematrix),aswellassalarygrowthandseparation

    probabilitiesbyage,andtherelativenumberandaveragelevelofbenefitsforannuitantsofeachage.

    The

    benefit

    calculations

    assume

    a

    full

    retirement

    age

    of

    60,

    and

    that

    younger

    retirees

    can

    start

    takingbenefitsuptofiveyearsearlybyincurringalinear6%benefitreductionforeachyeara

    participantretiresbeforeage60.Thecalculationalsorequirestheaveragesalaryoftheworking,which

    weestimateas$65,182in2009.

    BenefitsareprojectedassumingmortalityratesfromtheRP2000tables,whichareemployed

    bymanystateandlocalgovernments.Weusethetables'combined(employee/retired)healthyrates,

    andassume

    that

    participants

    are

    evenly

    divided

    by

    gender,

    that

    60

    percent

    are

    married

    at

    the

    time

    they

    retiretoaspouseofthesameage,andthatplansallowfor50percentsurvivorbenefits.

    Wethencalibrateeachplan'scashflowsbyadjustingtheaveragesalaryleveloftheemployed

    andtheaveragebenefitsofthenonactivemembers.Theyarecalibratedtosimultaneouslymatchboth

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    1.)theplansstatedaccountingliabilitywhencapitalizedatthecitychosendiscountrateusingthe

    actuarialmethodemployedbythemunicipality;and2.)theplansexpectedfirstyearcashflow,which

    weestimateat107%ofthecashflowfortheyearendingJune2009,basedonrecenthistoricalcash

    flowgrowth.

    Someofthesecalculationsrequireadditionaldata,whichweexplainhere,reflecting

    assumptionsaboutsalaries,yearsofservice,andwages.,Inparticular,weneedthedistributionofplan

    participantsbyageandyearsofservice(anageservicematrix),andtheaveragewagesofemployees

    ineachcell.Forthispurposeweusetherepresentativeaverageageservicematrixofpublicplansused

    inNovyMarxandRauh(2010a).6Wealsorequiresalarygrowthandseparationprobabilities,byage,for

    activeworkers,vectorsthatalsocomefromNovyMarxandRauh(2010a).

    Forretiredworkers,weemployadistributionofretireesbyageandtheaverageannuitybenefit

    ineachagecategory.Thisinformationisonlysporadicallydisclosed,butbysamplingthelocalCAFRswe

    obtainedanaveragedistributionacross17planscovering274,063millionoutofthe808,214annuitants

    inoursampleplans.Table4showstheaveragefractionofretireesandaverageannuityineachage

    group,

    and

    the

    note

    to

    Table

    4

    lists

    the

    plans

    from

    which

    this

    distribution

    was

    derived.

    Over

    40%

    of

    the

    retireesareunderage65.Theaverageannuityishighestfor5559yearoldsatover$38,000,andlowest

    fortheoldestretireeswhopresumablyretiredunderlessgenerousbenefitregimes.Theoverallaverage

    annuityis$30,000.

    ThetotalcashflowsdeliveredbythemodelareillustratedinFigure1.Discountingthedashed

    line(EAN)inFigure1at8%byconstructionwillyieldanumberveryclosetothestatedliability(theonly

    differencebeing

    that

    afew

    plans

    use

    amethod

    different

    from

    the

    EAN).

    The

    solid

    line

    shows

    what

    6Thismatrixwasbasedonselectingthe10stateswiththelargesttotalliabilitiesandthensearchingtheCAFRsfor

    ageservicematrices.TheageservicematriceswereavailableforNewYork,Illinois,Pennsylvania,Ohio,andTexas.

    Whilethisistheageservicematrixforworkersinstatesponsoredplans,weexpecttheageserviceprofileoflocal

    planstobesimilar.

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    wouldhappentototalcashflowsacrossthe77municipalitiesiftheplanswereallfrozentoday.The

    benefitswouldpeakataround$42billionannuallyin2025.Ifplansarenotfrozen,however,thetopline

    isthebestestimateofwhatactualbenefitswillbe,peakingatover$70billionaroundtheyear2040.

    Thispeakoccursslightlylaterthanthatcalculatedforstatedefinedbenefitpensionplanscalculatedin

    NovyMarxandRauh(2010a),primarilybecauseretiredmunicipalworkersareyoungerthanretired

    stateworkers.7

    Figure2breaksthesedownintocashflowsowedtocurrentlyactiveemployees(topgraph),the

    currentlyretired(bottomgraph)andtheremainder,whoareneithercurrentlyinpublicemployment

    nordrawingapensionbutareentitledtodrawapensionatsomefuturedate.Theliabilitydueto

    currentannuitantsandseparatedworkersisinsensitivetotheaccrualmethod,sincetheaccrualmethod

    isaquestionofhowtotreatfuturewagegrowthservicebytheemployeeswhoarecurrentlyinactive

    employment.

    4.ThePresentValueofPensionPromises

    Figure3showsthealternativediscountratesthatweapply.Thisgraphshowszerocouponyield

    curves

    for

    Treasuries,

    as

    well

    as

    AA+

    municipal

    bonds

    as

    of

    30

    June

    2009.

    Yields

    on

    coupon

    bonds

    were

    collectedfromBloomberg.Thezerocouponyieldswerecalculatedfromstripprices,whichweobtained

    byconstructinglongshortportfoliosofthecouponbonds.

    Table5showsthepresentvalueofmunicipalliabilitiesunderthedifferentmethods.Thefirst

    cellintheupperleftrepresentstherawsumofliabilitiesonanasreportedbasisharmonizedtoJune

    2009.Asexplainedpreviously,thisstartingpointfortheliabilityis$488billion.

    Theother

    figures

    in

    the

    left

    column

    of

    the

    table

    show

    the

    sensitivity

    of

    the

    liability

    to

    the

    use

    of

    differentaccrualmethodswhileretainingthemunicipallychosendiscountrate.Movingfromthe

    7Forexample,inoursample11%ofretiredmunicipalworkersareunder55,comparedto3.5%ofretiredstate

    workersinNovyMarxandRauh(2010a).

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    municipallychosenmethod,whichisusuallyEAN,toanABOreducestheliabilityto$430billion.Moving

    totheexpansivePVBresultsinaliabilityof$581billion.Thelowerpaneloftheleftcolumndecomposes

    thetotalintothememberstatusasof2009,wherethecategoriesareactiveparticipants,annuitants,

    andseparated(nolongercityemployed)participantsnotyetdrawingbenefits.Again,theliabilitydueto

    currentannuitantsandseparatedworkersisinsensitivetotheaccrualmethod,sincetheaccrualmethod

    isaquestionofhowtotreatfuturewagegrowthservicebytheemployeeswhoarecurrentlyinactive

    employment.Around45%ofthePVBandaround60%oftheABOisduetoindividualswhoarealready

    retired.

    ThemiddlecolumnofTable5showstheresultsofdiscountingthecashflowsusingtheAA+

    municipalcurvegrossedupfora25%taxpreference.FocusingontheABO,thisraisestheliabilityto

    $507billion,whichis18%abovetheABOatmunicipallychosenratesandonlyslightlyabovethe

    liabilitiesonanasstatedbasis(sincetheeffectofthehigherdiscountrateismostlyoffsetbytheeffect

    ofthenarroweraccrualmethod).ThePVBatthetaxablemunirateis$662billion,or36%higherthan

    theliabilitiesonanasstatedbasis.

    The

    right

    column

    of

    Table

    5

    uses

    the

    procedure

    of

    discounting

    at

    Treasury

    rates,

    which

    we

    arguedaboveisthepreferredprocedurefortheABO.NowtheABOis$681billion.ThePVBatTreasury

    ratesisover$1trillion,butthisdoesnotcreditstatesatallfortheabilitytochangetheparameterson

    pensionsowedtocurrentemployees.Ofcourse,instatesthatBrownandWilcox(2009)identifyas

    havingstrictconstitutionalguarantees(includingIllinois,NewYork,andLouisiana)thismethodmayin

    factbethemostappropriatereflectionofthefactthatsomeU.S.taxpayerswillultimatelyenduppaying

    theexpected

    benefits

    of

    all

    current

    employees.

    Netoftheassetsintheplans,theunfundedliabilityis$383billionusingTreasurydiscounting,or

    over$5,300percapitaandover$185,000permember.Ifonapermemberbasistheunfundedliability

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    isthesamefortheapproximately1millionlocalworkersthatarecoveredbymunicipalplansnotinour

    sample,thetotalunfundedliabilityforallmunicipalplansintheU.S.wouldbe$574billion.

    Table6breaksdownthiscalculationbysponsoringcityorcounty,andsortsindescendingorder

    ofunfundedliabilityperhouseholdatTreasuryrates.8Chicagoisatthetopofthelist,withunfunded

    liabilitiesof$41,966percityhousehold,basedonaperpersonunfundedliabilityof$15,718.Notethat

    thisrepresentstheunfundedliabilitythatwouldbeowedevenifalltheChicagoplanswerefrozen

    today.NewYorkCitycomesinsecondwith$38,886perhousehold,SanFranciscothirdwith$34,940per

    household,andBostonfourthwith$30,901perhousehold.Inaggregate,eachmunicipalhouseholdin

    the50citiesandcountiesinourstudyowes$14,165tocurrentandretiredemployeesoflocalpension

    systems.

    5.HowLongWilltheSystemsLast?

    InthissectionweexaminethesystemsinthealternativewayconsideredforstatesbyRauh

    (2010).WecalculatehowlongtheassetsinthefundsasofJune2009couldpayforbenefitsthatwere

    alreadypromisedasof2009,assumingthattargetedinvestmentreturnsareinfactachieved.This

    method

    assumes

    that

    cities

    will

    fully

    fund

    all

    future

    benefit

    accruals

    but

    will

    not

    make

    progress

    towards

    correctingtheunfundedlegacyliabilities.Totheextentthatthecitiesdomakeprogresstowards

    correctingtheunfundedliabilitywithlargefuturecontributionincreases,theycanpotentiallydelaythe

    dayofreckoning.Totheextentthatthe8%returnsgovernmentsarehopingforarenotachieved,the

    horizonsonwhichexistingassetsaresufficienttopayalreadypromisedbenefitsareevenshorter.

    Variousriskfactorsaffectactualrunoutdates.Runoutscouldhappensoonerifworkersstart

    retiringearly

    in

    anticipation

    of

    problems,

    iftaxpayers

    start

    moving

    out

    of

    troubled

    states,

    or

    if

    8Tocalculatethesefigures,wecollect2009populationfiguresfromtheU.S.CensusBureautableAnnual

    EstimatesoftheResidentPopulationforIncorporatedPlacesOver100,000forcitiesandResidentPopulation

    Estimatesforthe100LargestU.S.Counties.Wethenassume2.67(22/3rds)peopleperhousehold,consistent

    withthe2000censusdataonhouseholdcomposition.

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    contributionsaredeferredornotmade.Runoutscouldhappenlaterifstatesmakefundamental

    reformsorcanborrowenoughtofillthehole.Therunoutsalsowouldhappenlaterifstatesusefuture

    contributionsnottofundnewbenefitsbutrathertopayforthebenefitsofexistingworkers,althoughin

    thatscenariotherunoutswouldbemorelikelytohappenatsomepointasstatesaredigging

    themselvesintoadeeperanddeeperhole.

    ThefirstcolumnofTable7takesareducedformapproachandsimplytakestheratioof2009

    benefitsto2009assets.Forexample,thetoplineshowsthatthisratioforPhiladelphiais5.Ifneither

    benefitsnorassetsgrowatall,Philadelphiacouldpaythislevelofbenefitsfor5yearsoutofexisting

    assets.BostonandChicagocouldpayfor8years.Attheotherendofthespectrum,FresnoCitycould

    payfor23years.

    Ofcourse,benefitcashflowswillgrow,asshowninFigure1,evenfortheABO.9Assetsarealso

    likelytogrowthroughinvestmentreturns.Thesecondcolumnofthetableassumesthatassetsearn8%

    returns,andthattheassetscurrentlyundermanagementplustheseannualreturnsareusedtopay

    benefitsthathavealreadybeenpromisedunderthe2009ABO.Theyearlistedincolumn2istheyearin

    which

    the

    assets

    will

    no

    longer

    be

    sufficient

    to

    pay

    these

    benefits

    under

    these

    assumptions.

    In

    Philadelphia,theassetswouldrunoutin2015,inBostonandChicagotheywouldrunoutin2019.

    Theremainingcolumnsshowthatifatthatpointthesemunicipalitiestriedtoswitchtoapayas

    yougosystemofpayingthepromisedbenefits,substantialsharesofrevenuewillbeconsumedby

    benefits.Expectedbenefitsare25%of2006cityrevenuesforPhiladelphiain2015;theyare40%of2006

    cityrevenuesforBostonin2019;andtheyare78%of2006cityrevenuesforChicago.Assumingcity

    revenuesgrow

    at

    3%

    per

    year,

    expected

    benefits

    are

    19%

    of

    projected

    2015

    city

    revenues

    for

    9Thatis,evenifpromiseswerefrozenattodayslevelsofserviceandsalary,benefitswillstillgrow,asincreasing

    numbersofpeopleareretiringwithincreasinglygenerousbenefitsrelativetothenumbersandbenefitsofretirees

    whoaredying.

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    Philadelphia;theyare27%ofprojected2019cityrevenuesforBoston;andtheyare53%ofprojected

    cityrevenuesforChicago.

    SomewhatsurprisinglySanFrancisco,thecitywiththethirdlargestunfundedliabilityper

    household,avoidsrunningoutoffundsuntil2032.Itsplanmembersarerelativelyyoung,anditsliability

    isdisproportionallyduetoitscurrentworkforce,notretirees.Itscurrentpensionpayoutsare

    consequentlylow,atleastrelativetoitstotalliability,andthispushestherunoutfartherintothe

    future.Additionally,despiteSanFranciscosextremelylargeunfundedpensionliability,itsplanis

    relativelywellfunded.Onlythetwomunicipalitiesatthebottomoftherunoutlist,FresnoCityand

    Miami,reporthigherfundinglevelsthanSanFrancisco.

    Thesemeasuresaremeanttogiveasenseoftheadequacyofexistingassetstopayforalready

    promisedbenefits.Somecitiesmayhaveplansinplacebywhichfuturecontributionswillmakeupfor

    unfundedlegacyliabilities,butsuchplansareoftenabandonedinthefaceofafiscalsqueeze.For

    example,atthestatelevel,IllinoisandNewJerseyhavecontributionrequirementswhichatsomepoint

    theypromisedtheywouldmeet.ButIllinoisisnowpayingthemwithborrowedmoney,andNewJersey

    is

    only

    paying

    a

    small

    fraction

    of

    the

    required

    amount.

    The

    city

    of

    Chicago

    has

    actually

    received

    a

    fundingholidayinthecontextofarecentreformthataffectednewworkersinIllinoisstateplans.Tothe

    extentthatcitiescreateandadheretoplanstosetasidemoneytopayforunfundedliabilities,the

    depletionofthefundscanbedelayed.

    6.Conclusion

    WhenmeasuredusingTreasuryyields,unfundedliabilitiesofmunicipal(cityandcounty)

    pensionplans

    add

    $574

    billion

    to

    the

    $3

    trillion

    in

    unfunded

    state

    sponsored

    plans

    that

    we

    have

    documentedinpreviouswork.Onaverage,eachhouseholdinthesecitiesandcountiesowes$14,165in

    theformofoffbalancesheetdebttocurrentandformermunicipalpublicemployees,underthe

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    narrowestaccountingmeasures,calculatedstrictlyonthebasisofworkalreadyperformedandcurrent

    levelsofpublicemployeewagesandsalaries.Underbroadermeasuresthisdebtisevengreater.

    Eachofthesehouseholdsalreadyowesalmost$27,000fortheirshareofthe$3trillionstate

    pensiondebt.The$14,165oflocaldebtraisesthisburdenforeachhouseholdinoursamplebyover

    50%.Ifeachmetropolitanhouseholdwereresponsiblyforanequalshareoftheaggregatecityandstate

    unfundedliability,theneachhouseholdintheseareaswouldoweover$41,000.

    Ontheonehand,theseaveragestatisticsmaskthefactthatsomecitiesandstatesare

    considerablyworseoffthanothers.Forexample,eachhouseholdinChicagoowes$42,000justforthe

    Chicagoplans,plusanadditional$29,000fortheirshareoftheIllinoisstateplans,foratotalof$71,000

    perhousehold,oraround$76billion.Ontheotherhand,itseemsinfeasiblethatChicago,acitywith

    approximately$0.3billioninannualsalestaxrevenueand$0.8billioninannualpropertytaxrevenue,

    cancomeupwithpaymentsforlegacyliabilitiesofthismagnitude.Itseemsmorelikelythatthestateof

    IllinoiswillendupbailingoutChicago,inwhichcaseallIllinoishouseholdswillendupowingaround

    $42,000.Inturn,ifthatwouldbankruptIllinois,thenthefederalmayhavetobackstoptheIllinois

    liabilities.

    The

    distribution

    of

    the

    unfunded

    liability

    across

    different

    types

    of

    taxpayers

    is

    an

    unresolved

    matter.

    Partoftheuncertaintystemsfromthefactthatresidentsofonemetropolitanareacanmoveto

    anotherareainresponsetotaxincreasesorspendingcuts.Atthemetropolitanlevelthisisparticularly

    stark,asresidentscanmovetosuburbanareasinresponsetoincreasedtaxesandcutservicesinthe

    urbanareas.Thefactthatthereissuchalargeburdenofpublicemployeepensionsconcentratedin

    urbanmetropolitan

    areas

    threatens

    the

    long

    run

    economic

    viability

    of

    these

    cities.

    Countytaxsystemsandstateallocationformulasmayplayaroleinreallocatingresources,

    whichmightlimittheabilityofhouseholdstofleetonearbysuburbs.However,theeconomicincentives

    areparticularlystrongwhenthecitybordersonothercities,orevenotherstates,thatareinbetter

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    financialhealth.Forexample,NewHampshireisjustover30milesfromdowntownBoston,MA;

    Delawareisonlyaround20milesfromdowntownPhiladelphia,PA;Indianaislessthan20milesfrom

    downtownChicago,IL;andKentuckyisonly5milesfromdowntownCincinnati,OH.

    WhatisclearisthatstateandlocalgovernmentsintheUShavemassivepublicpensionliabilities

    ontheirhands,andthatwearenotfarfromthepointwherethesewillimpacttheabilityofstateand

    localgovernmentstooperate.Giventhelegalprotectionsthatmanystatesaccordtoliabilities,whichin

    anumberofcasesderivefromstateconstitutions,attemptstolimittheseliabilitieswithbenefitcutsfor

    existingworkerswillonlygosofar(BrownandWilcox(2009),NovyMarxandRauh(2010b)).The

    questiongoingforwardisoneofhowthisburdenwillbedistributedbetweenurbanandnonurban

    areas,betweenstateandlocalgovernments,amongthemoreandlessfiscallyresponsiblestates,and

    betweenlocalandfederalgovernments.Ifthisquestionremainsunresolved,stateandlocalfiscalcrises

    maytranslateintolossesformunicipalbondholders.

    References

    Barro,Robert,1976,RationalExpectationsandtheRoleofMonetaryPolicy,JournalofMonetaryEconomics2,132.

    Brown,JeffreyandDavidWilcox,2009,DiscountingStateandLocalPensionLiabilties,AmericanEconomicReview99(2),538542.Duffie,DarrellandKennethJ.Singleton,1997,AnEconometricModeloftheTermStructureofInterest

    RateSwapYields,JournalofFinance52(4),12871321.Fisher,Stanley,1975,TheDemandforIndexBonds,JournalofPoliticalEconomy83(3),509534.Krishnamurthy,Arvind,andAnnetteVissingJorgensen,2008,TheAggregateDemandforTreasury

    Debt,Kellogg

    School

    of

    Management

    Working

    Paper.

    Lintner,L.,1965,TheValuationofRiskAssetsandtheSelectionofRiskyInvestmentsinStockPortfolios

    andCapitalBudgets,ReviewofEconomicStatistics47,1337.Longstaff,FrancisA.,2004,TheFlighttoLiquidityPremiuminU.S.TreasuryBondPrices,JournalofBusiness77(3),511526.

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    Modigliani,FrancoandMertonH.Miller,1958,TheCostofCapital,CorporationFinance,andthe

    TheoryofInvestment,AmericanEconomicReview48:261297.NovyMarx,Robert,andJoshuaD.Rauh,2009,TheRisksandLiabilitiesofStateSponsoredPension

    Plans,JournalofEconomicPerspectives,23(4):191210.NovyMarx,Robert,andJoshuaD.Rauh,2010a,PublicPensionPromises:HowBigAreTheyandWhat

    AreTheyWorth?,JounalofFinance,forthcoming.http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1352608

    NovyMarx,Robert,andJoshuaD.Rauh,2010b,PolicyOptionsforStatePensionSystemsandTheir

    ImpactonPlanLiabilities,NorthwesternUniversityWorkingPaper.

    Poterba,JamesandArturoRamirezVerdugo,2008,PortfolioSubstitutionandtheRevenueCostof

    ExemptingStateandLocalGovernmentInterestPaymentsfromFederalIncomeTax,NBERWorking

    Paper14439.

    Rauh,Joshua,2010,AreStatePublicPensionsSustainable?WhytheFederalGovernmentShouldWorry

    AboutStatePensionLiabilities,NationalTaxJournal63(3).Sharpe,W.F.,1964,CapitalAssetPrices:ATheoryofMarketEquilibriumunderConditionsofRisk,

    JournalofFinance19,425442.Treynor,JackL.,1961,TowardaTheoryoftheMarketValueofRiskyAssets,UnpublishedManuscript.

    Woodford,Michael,1990,PublicDebtasPrivateLiquidity,AmericanEconomicReview80,38288.

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    Figure2:ProjectedAggregateCashFlowsforActives,Annuitants,andSeparated

    0

    10

    20

    30

    40

    50

    60

    70

    20 10 2 01 5 20 20 2 02 5 2 03 0 2 03 5 20 40 2 04 5 20 50 20 55 20 60 2 06 5 20 70 2 07 5 2 08 0

    ABOActiveOnly

    EANActiveOnly

    PVBActiveOnly

    $bn

    0

    5

    10

    15

    20

    25

    30

    2010 2015 2020 2025 2030 2035 2040 2045 2050 2 055 2 060 2 065 2070 207 5 208 0

    Separatedin2009Annuitantin2009

    $bn

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    Figure3:ZeroCouponYieldCurvesasof30June2009

    ThisgraphshowszerocouponyieldcurvesforTreasuries,aswellasAA+municipalbondsasof30June2009.Yieldson

    Bloomberg.Thezerocouponyieldswerecalculatedfromstripprices,whichweobtainedbyconstructinglongshortportfol

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    Table1:SummaryofPlansandParticipants

    Thetoppanelsummarizesthenumbersofindividualmembersineachofthreemaincategories:activeworkers,annuitant

    longerinpublicemployment.Thesampleis77majorcityandcountypensionplanssponsored,covering2/3rdsoftheunive

    systems.Allmajorplansin50majormunicipalsystemsarerepresented.Thebottompanelliststhesedataforthe10stat

    thelargestbytotalmembers.

    MemberCounts(NumberofPlans=7

    Separated&

    Active Annuitants Vested

    SummaryStatisticsTotal 1,109,095 809,214 122,944 2

    Mean 14,404 10,496 1,597

    Median 6,277 5,322 595

    StdDev 26,675 18,363 2,581

    Largest10PlansNewYorkCityEmployeeRetirementSystem 187,327 133,277 8,949

    Teachers'RetirementSystemoftheCityofNewYork 114,307 71,259 6,247

    LosAngelesCountyEmployeesRetirementSystem 96,382 53,397 12,071

    NewYorkCityPolicePensionFund 36,044 45,176 829

    MunicipalEmployees'AnnuityandBenefitFundofChicago 33,214 23,185 12,324

    CityofPhiladelphiaMunicipalRetirementSystem 28,632 35,694 1,336

    ChicagoTeachers'

    Pension

    Fund

    32,728 24,398

    3,549

    SanFranciscoEmployees'RetirementSystem 31,263 21,944 4,841

    BostonRetirementSystem 22,512 14,408 9,896

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    Table2:DescriptionofMethodsforRecognizingAccruedLiabilities

    This table summarizes the four main methods for recognizing pension liabilities. The methods differ in their

    treatmentofexpectedfuturesalary increasesandservicethat isyettobeperformed.Themethodsare listed in

    increasingorderofbroadness,startingwiththemethodthatonlyreflectscurrentserviceandsalaryandending

    withthemethodthatreflectsafullprojectionofbenefitsthatareexpectedtobepaid.

    AccumulatedBenefitObligation(ABO) Representspromisedbenefitsundercurrentsalary

    andyearsofservice.Oftenusedinterchangeably

    withtheconceptsofterminationliability,or

    liabilityiftheplanwerefrozen,althoughthereare

    somedifferences(seetext).

    ProjectedBenefitObligation(PBO) Takesprojectedfuturesalaryincreasesinto

    account

    in

    calculating

    todays

    liability,

    but

    not

    futureyearsofservice.UsedinFASBaccounting

    forcorporations.

    EntryAgeNormal(EAN) Reflectsaportionoffuturesalaryandserviceby

    allowingnewliabilitiestoaccrueasafixed

    percentageofaworkerssalarythroughouthis

    career.

    PresentValueofBenefits(PVB) Fullprojectionofwhatcurrentemployeesare

    expectedtobeowediftheirsalarygrowsandthey

    work/retireaccording

    to

    actuarial

    assumptions.

    Table3:DiscountRatesUsedByMunicipalPlans(N=77)

    mean 8.03%

    median 8.00%

    stdev 0.36%

    min

    7.50%

    max 10.00%

    numberofplans 77

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    Table4:DistributionofRetireesandAverageAnnuityByAge

    The CAFRs of the 77 sample plans were searched fordistributions of retirees and average annuity by age. This

    informationwasprovidedin17plans:AnneArundelCountyRetirementSystem,BaltimoreEmployees'Retirement

    System, City of Philadelphia Municipal Retirement System, Fire and Police Employees' Retirement System of

    Baltimore,Laborers'andRetirementBoardEmployees'AnnuityandBenefitFundofChicago,MetropolitanWater

    ReclamationDistrict

    Fund

    of

    Greater

    Chicago,

    New

    York

    City

    Board

    of

    Education

    Retirement

    System,

    New

    York

    City

    EmployeeRetirementSystem,NewYorkCityFirePensionFund,NewYorkCityPolicePensionFund,Retirement

    Plan for Chicago Transit Authority Employees, Retirement System for Employees of the City of Cincinnati, San

    JoaquinCountyEmployees'RetirementAssociation,SantaBarbaraCountyEmployees'RetirementSystem,Seattle

    CityEmployees'RetirementSystem,TacomaEmployees'RetirementSystem,Teachers'RetirementSystemofthe

    CityofNewYork.Thestatisticshererepresentequalweightedaveragesacrossthoseplans.

    AgeBracket FractionofRetirees AverageAnnuity

    Under50 5% $22,568

    5054 6% $33,457

    5559 11% $38,092

    6064

    19%

    $37,020

    6569 17% $31,908

    7074 14% $27,685

    7579 11% $25,684

    8084 9% $23,159

    8589 5% $20,045

    90+ 3% $17,440

    Total 100% $30,091

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    Table5:MunicipalLiabilitiesUnderDifferentDiscountRatesandActuarialMethods

    DiscountRate

    FiguresinbillionsofU.S.dollars MunicipalChosen TaxableMuni TreasuryTotal(Active+Annuitants+Separated)

    AsStated,Unharmonized $488

    AccumulatedBenefitObligation(ABO) $430 $507 $681

    ProjectedBenefitObligation(PBO) $477 $557 $784

    EntryAgeNormal(EAN) $489 $571 $810

    ProjectedValueofBenefits(PVB) $581 $662 $1.047

    ActiveParticipantsOnly

    AccumulatedBenefitObligation(ABO) $165 $190 $292

    Projected

    Benefit

    Obligation

    (PBO)

    $211 $240

    $395EntryAgeNormal(EAN) $224 $254 $421

    ProjectedValueofBenefits(PVB) $315 $345 $658

    AnnuitantsOnly $260 $310 $376

    SeparatedNotYet $6 $6 $13

    ReceivingBenefitsOnly

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    Table6:MunicipalLiabilitiesinDescendingOrderofUnfundedLiabilityPerCapita

    The firstcolumnshows liabilitiesonastatedbasisasaggregated fromgovernmentreports.Thesecondcolumn

    shows our calculation of accumulated liabilities discounted using the Treasury yield curve as of June 2009. The

    thirdcolumnshowsnetpensionasset.Thefourthcolumnshowstheunfunded liability indollartermsasofJune

    2009.ThefifthshowstheJune2009unfunded liabilityasashareof2006revenue,where2006 isthe latestyear

    detailedcityandcounty revenueswereavailable from theU.S.Census ofGovernments tablesonState &Local

    Governmentfinances.Tocalculateperhouseholdfigures,wecollect2009populationfiguresfromtheU.S.Census

    Bureau tableAnnualEstimatesof theResidentPopulation for IncorporatedPlacesOver100,000 forcitiesand

    Resident PopulationEstimates for the 100Largest U.S.Counties.We then assume2.67 (2 2/3rds) people per

    household,consistentwiththe2000censusdataonhouseholdcomposition.

    Name(NumberofPlans)

    Liabilities,

    Stated

    Basis,

    June09

    ($B)

    Liabilities

    (ABO),

    Treasury

    Rate

    Net

    Pension

    Assets

    ($B)

    Unfunded

    Liability

    ($B)

    Unfunded

    Liability/

    Revenue

    Unfunded

    Liability

    per

    Household($)

    Chicago(7) 46.3 66.6 21.8 44.8 763% 41,966

    NewYorkCity(5) 155.8 214.8 92.6 122.2 276% 38,886SanFrancisco(1) 16.3 22.6 13.3 9.3 266% 34,940

    Boston(1) 7.4 11.0 3.6 7.5 430% 30,901

    Detroit(2) 8.1 11.0 4.6 6.4 402% 18,643

    LosAngeles(3) 34.6 49.3 23.2 26.1 378% 18,193

    Philadelphia(1) 9.0 13.0 3.4 9.7 290% 16,690

    Cincinnati(1) 2.2 3.2 1.2 2.0 321% 15,681

    Baltimore(2) 4.4 6.4 2.7 3.7 260% 15,420

    Milwaukee(1) 4.4 6.7 3.3 3.4 687% 14,853

    FairfaxCounty(4) 8.3 11.1 5.5 5.6 169% 14,415

    Hartford(1) 1.2 1.6 0.9 0.7 249% 14,333

    St

    Paul

    (1)

    1.5

    2.2

    0.8

    1.4

    464%

    13,686

    Jacksonville(2) 4.1 6.0 2.0 4.0 278% 12,994

    Dallas(2) 7.4 10.8 4.6 6.3 298% 12,856

    ContraCostaCounty(1) 6.3 8.7 3.7 5.0 425% 12,771

    SantaBarbaraCounty(1) 2.3 3.3 1.4 1.8 329% 11,995

    KernCounty(1) 4.2 5.6 2.0 3.6 612% 11,919

    SanJose(2) 5.4 7.5 3.4 4.1 321% 11,391

    Houston(3) 11.1 16.4 7.2 9.1 356% 10,804

    NashvilleDavidson(1) 2.9 4.1 1.8 2.3 151% 10,048

    ArlingtonCounty(1) 1.5 2.0 1.2 0.8 103% 10,000

    Miami(2) 2.3 3.3 1.7 1.6 318% 9,689

    SanMateoCounty(1) 3.0 4.1 1.6 2.5 413% 9,415

    Seattle(1)

    2.6

    3.6

    1.5

    2.1

    165%

    9,125

    SanJoaquinCounty(1) 2.7 3.8 1.5 2.3 525% 9,119

    Tacoma(1) 1.1 1.4 0.8 0.7 198% 9,082

    SacramentoCounty(1) 6.7 8.9 4.4 4.5 452% 8,582

    Memphis(2) 3.5 4.6 2.5 2.1 291% 8,432

    FresnoCounty(1) 3.6 5.1 2.3 2.9 843% 8,401

    SonomaCounty(1) 2.0 2.6 1.1 1.5 397% 8,394

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    OrangeCounty(1) 11.5 15.6 6.2 9.3 604% 8,233

    VenturaCounty(1) 3.5 4.9 2.4 2.5 352% 8,195

    MontgomeryCounty(1) 3.5 5.1 2.1 3.0 91% 8,118

    AlamedaCounty(1) 5.7 8.0 3.8 4.2 353% 7,579

    LosAngelesCounty(1) 44.5 60.0 32.4 27.6 367% 7,473

    FortWorth(1) 2.3 3.3 1.4 2.0 300% 7,212

    AnneArundel

    County

    (1)

    1.7

    2.4

    1.0

    1.4

    111%

    7,081

    SanBernardinoCounty(1) 7.0 9.6 4.5 5.1 407% 6,716

    StanislausCounty(1) 1.6 2.4 1.1 1.3 486% 6,698

    BaltimoreCounty(1) 2.6 3.5 1.6 1.9 113% 6,577

    SanDiegoCounty(1) 9.2 13.4 6.2 7.2 631% 6,329

    DeKalbCounty(1) 1.8 2.3 1.0 1.4 186% 4,873

    CookCounty(2) 10.9 14.3 6.1 8.2 365% 4,112

    TulareCounty(1) 1.0 1.4 0.8 0.7 392% 4,068

    FresnoCity(2) 1.6 2.4 1.7 0.7 172% 3,647

    FultonCounty(1) 1.5 2.1 0.9 1.3 142% 3,276

    SanAntonio(1) 2.4 3.4 1.8 1.7 140% 3,201

    Phoenix(1) 2.5 3.3 1.4 1.9 111% 3,176

    Tampa(2) 1.3 2.0 1.7 0.3 57% 2,309

    Total(78) $488.3 $681.0 $298.3 $382.7

    ValueWeighted 320% $14,165

    EqualWeighted 337% $11,421

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    Table7:YearsThatExistingAssetsAreAdequatetoPayAccruedBenefits

    Tobeincluded,asystemmustpayoutmorethan20%of2006revenuesatdepletionyear.

    ExpectedBenefitsinYearFollowing

    2009

    Benefits/

    Assets

    (Years)

    Assets

    Earning8%Pay

    ABOCash

    Flows

    Through $million

    shareof

    2006

    revenue

    shareof

    projected

    revenue

    (g=3%)

    Philadelphia(1) 5 2015 827.2 25% 19%

    Boston(1) 8 2019 695.1 40% 27%

    Chicago(7) 8 2019 4551.1 78% 53%

    Cincinnati(1) 9 2020 218.9 36% 24%

    Jacksonville(2) 9 2020 437.8 31% 20%

    StPaul(1) 8 2020 151.3 49% 32%

    NewYork

    City

    (5)

    9

    2021 15976.2

    36%

    23%

    Baltimore(2) 9 2022 480.1 34% 21%

    DeKalbCounty(1) 12 2022 215.1 29% 18%

    FultonCounty(1) 10 2022 169.1 19% 12%

    KernCounty(1) 12 2022 480.4 82% 51%

    BaltimoreCounty(1) 11 2023 308.7 18% 11%

    Detroit(2) 10 2023 872.7 55% 33%

    FortWorth(1) 12 2023 289.7 44% 27%

    Phoenix(1) 11 2023 305.5 18% 11%

    SonomaCounty(1) 12 2023 242.0434 65% 39%

    Nashville&

    Davidson

    County

    (1)

    11

    2024 318.5

    21%

    12%

    SanJoaquinCounty(1) 14 2024 340.6 78% 46%

    SanMateoCounty(1) 14 2024 360.7 59% 35%

    Seattle(1) 12 2024 310.599 24% 14%

    ContraCostaCounty(1) 14 2025 795.1 68% 39%

    CookCounty(2) 14 2025 1326.7 59% 34%

    MontgomeryCounty(1) 13 2025 441.8 14% 8%

    OrangeCounty(1) 15 2025 1508.8 98% 56%

    AnneArundelCounty(1) 14 2026 229.8 19% 10%

    Dallas(2) 14 2026 1048.5 50% 28%

    FresnoCounty

    (1)

    14

    2026 484.1

    142%

    78%

    Houston(3) 16 2027 1726.2 67% 36%

    LosAngeles(3) 14 2027 4586.5 66% 36%

    Miami(2) 12 2027 251.4 51% 27%

    SanJose(2) 16 2027 777.4 61% 33%

    SantaBarbaraCounty(1) 16 2027 330.2 59% 32%

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    AlamedaCounty(1) 15 2028 824.4 69% 36%

    Hartford(1) 11 2028 126.2 47% 25%

    Memphis(2) 12 2028 390.9 53% 28%

    Milwaukee(1) 13 2028 612.2 125% 65%

    SanDiegoCounty(1) 15 2028 1362.2 119% 62%

    StanislausCounty

    (1)

    15

    2028 236.2

    90%

    47%

    FairfaxCounty(4) 14 2029 1076.0 32% 16%

    SanBernardinoCounty(1) 17 2029 1116.1 90% 45%

    VenturaCounty(1) 16 2029 531.2 76% 38%

    SacramentoCounty(1) 19 2030 1099.7 110% 54%

    Tacoma(1) 16 2031 159.8 47% 22%

    SanFranciscoCityandCounty(1) 16 2032 2595.1 74% 34%

    LosAngelesCounty(1) 16 2033 6844.8 91% 41%

    SanAntonio(1) 19 2033 431.7 37% 16%

    TulareCounty(1) 17 2034 157.0 93% 41%

    ArlingtonCounty

    (1)

    17

    2038 254.5

    32%

    12%

    FresnoCity(2) 23 Never

    Tampa(2) 14 Never