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    RedistributiveMonetaryPolicy1

    MarkusK.BrunnermeierandYuliySannikovPrinceton

    University

    August,2012

    Abstract

    Liquidity

    and

    deflationary

    spirals

    self

    generate

    endogenous

    risk

    and

    redistribute

    wealth.

    Monetary

    policycanmitigatetheseeffectsandhelprebalancewealthafteranadverseshock,therebyreducing

    endogenousrisk,stabilizingtheeconomy,andstimulatinggrowth.Theredistributivechanneldiffers

    fromtheclassicKeynesianinterestratechannelinmodelswithpricestickiness.Centralbanksassume

    andredistributetailriskwhenpurchasingassetsorrelaxingtheircollateralrequirements.Monetary

    policy(rules)canbeseenasasocialinsuranceschemeforaneconomybesetbyfinancialfrictions.As

    withanyinsurance,itcarriesthecostofmoralhazard.Redistributivemonetarypolicyshouldbestrictly

    limitedtoundoingtheredistributioncausedbytheamplificationeffectsandbymoralhazard

    considerations.

    1Thispaperwaspreparedforthe2012JacksonHoleSymposiumhostedbytheFederalReserveBankofKansas

    City,August31toSeptember1,2012.WearegratefultoTobiasAdrian,EvanFriedman,MasazumiHattori,Nobu

    Kiyotaki,JeanPierreLandau,HyunShin,LarsSvensson,MarkWatson,andespeciallytoDelwinOlivanforhelpful

    suggestions.

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    1.Introduction

    Shorttermdebtfinancingplayedanimportantroleintherunuptothefinancialcrisis,asincreasesin

    leveragehelpedboostgrowthbutalsomadetheeconomymoresusceptibletoasharpdownturn. Since

    therecession,privateagentshavereducedtheirdebtlevelwhilemanypublicgovernmentshave

    increasedborrowing. Thisdeleveragingprocessappearstobeholdingbacktherecovery,andthe

    Japaneseexperiencesuggeststhatsuchdeleveragingcancontinueoveranextendedperiod.

    Economicactivitydependsonwealthdistributionandtheriskbearingcapacityofvarioussectorsand

    actorsintheeconomy.Inaworldwithexcessivedebtfinancing,amplificationofadverseshockscan

    triggerlargewealthredistributionsacrossandwithinsectorsthatstiflegrowth. InJapan,thenon

    financialbusinesssectorsufferedmostfromliquidityanddeflationspirals,whilecurrently,intheUnited

    States,thehouseholdsectorlargelybearsthecostsofthesespirals.

    Thispaperarguesthatmonetarypolicycanmitigatetheredistributiveeffectsoftheadverse

    amplificationmechanismsandhelprebalancewealthacrossvarioussectorsandhouseholds.The

    wealthredistributivemonetarytransmissionchannelworksthroughchangesinassetpricesand

    profitability.Thekeyinsightisthatsinceeconomicagentsdifferintheirassetholdings,monetarypolicy

    redistributeswealth.Appropriatemonetarypolicycanmitigatedebtoverhangdistortions.Thisstabilizes

    theeconomy,reducesendogenousrisk,andcanspurgrowth,raisingtheoverallwealthlevelinthe

    economy.Forspecificscenarios,monetarypolicycanevenleadtoexpostParetoimprovements,

    makingallagentsintheeconomybetteroff.

    ThiswealthredistributionchanneldiffersfromthetraditionalKeynesianinterestratechannel.Inthose

    models,thekeyfrictionisduetopricestickiness,notfinancialfrictions.Assuch,loweringthenominal

    interestratelowerstherealinterestrate.Alowerrealinterestratestimulatesaggregateconsumption

    andinvestmentastherepresentativeagentbringsconsumptionforward.InmostNewKeynesian

    models,theinterestratesaresetbyarule,e.g.,theTaylorrule,andmoneyservesonlyasaunitof

    account.Thezerolowerboundofthenominalinterestratelimitstheeffectivenessofconventional

    monetarypolicy.

    Ingeneral,conventionalmonetarypolicyfocusesprimarilyontheshortendoftheyieldcurve.

    Expectationsaboutfuturepolicyindirectlyaffectthelongendoftheyieldcurve.Unconventional

    monetarypolicydirectlytargetsthelongendoftheyieldcurveandpricesofspecificassets.Allthese

    measurescanredistributewealthacrossandwithinsectors.Forexample,wefindthatadeclineofthe

    10yearinterestratethatwidensthe25 to10yeartermspreadhurtslifeinsurancecompaniesand

    pensionfunds.

    Centralbanksalsoassumetailrisk.Theytransferriskawayfromtheprivatesectors.Moreprecisely,

    centralbanksredistributetailrisktomanynominalclaimholdersacrosstheeconomy.Theredistribution

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    ofriskisawealthredistributioninthefuturecontingentonspecificfuture(tail)events.Forexample,

    purchasesofriskyassetsredistributeriskoftheultimatepayoffoftheseassetstoallnominalclaim

    holdersintheeconomy.Centralbanksthatrelaxcollateralrequirementsforlendingprogramsinsure

    againstthetaileventinwhichtheborrowerandthecollateralfailtocovertheborrowedamount.

    Importantly,theredistributionofriskisnotazerosumgame.Mostoftheriskintheeconomyis

    endogenousi.e.,self

    generated

    by

    the

    system.

    Hence,

    appropriate

    monetary

    policy

    can

    reduce

    the

    overallriskintheeconomy.

    Moregenerally,monetarypolicy(rules)canbeseenasastabilizingimplicitsocialinsurancescheme

    acrossagentsandsectorsforeconomiesbesetbyfinancialfrictions.Essentially,monetarypolicy

    (partially)completesmissingmarkets.Theefficiencygainsarelargestwhenexogenousriskissmalland

    selfgeneratedendogenousriskislarge.Thelatteristhecasewhentheproductivityorvaluationgap

    betweennaturalholdersandsecondbestholdersofassetsislarge.Withalargegap,firesalesfromthe

    naturalholdersofassetstoothersleadtolargepricemovementsamplifiedbyliquidityanddeflationary

    spirals.Formonetarypolicytoworkasasocialinsurancescheme,thecentralbankhastofollowand

    clearlycommunicate

    an

    ex

    ante

    well

    specified

    policy

    rule.

    Aswithanyinsurancescheme,monetarypolicycomesatthecostofmoralhazard.Tokeepmoral

    hazardcostsundercontrol,thedesignoftheredistributionschemeiscrucial.Forexample,if

    recapitalizationeffectsofmonetarypolicyareproportionaltothebanksnetworthi.e.,thepolicy

    helpsstronginstitutionsmorethanweakonesthencompetitioninnormaltimeswithinthesector

    keepsmoralhazardincheck. Ofcourse,supportingstrongerhealthybanksintimesofcrisisisexpost

    morecostly.Exante,however,thiscommitmentmakesmonetarypolicylesspronetomoralhazard

    comparedtomoretargetedpolicyinstrumentsthatsubsidizetheweakinstitutions.

    Generally,theintentofamonetarypolicyruleistoaffecttheeconomicagentsbeliefsandbehaviorin

    orderto

    steer

    the

    economy

    toward

    the

    socially

    desirable

    objective.

    Asymmetric

    information

    problems,

    suchasmoralhazard,limittheeffectivenessofsuchrulesandconstrainthesetofimplementablerules.

    Inotherwords,systemicfinancialinstitutionscanunderminesomedesirablerulesandmayevenbeable

    toforcethecentralbanktoabandonitsrulebook.Redistributivemonetarypolicyshouldbestrictly

    limitedtoundoingtheredistributioncausedbytheamplificationeffectsandbymoralhazard

    considerations.

    Untilrecently,thepredominantviewwasthatthethreeobjectivesofpricestability,financialstability,

    andfiscalgovernmentdebtsustainabilitycanbetreatedindependentlyfromeachotherandassigned

    separatelytomonetary,regulatory,andfiscalauthorities,respectively.Thisviewfailstoseethatthe

    centralbank

    can

    be

    cornered

    by

    financial

    institutions

    and

    fiscal

    authorities.

    Fiscal

    authorities

    will

    try

    to

    forcethecentralbanktomonetizegovernmentdebtinordertoavoidpoliticallyunpopularausterity

    measures.Incrisissituations,centralbanksmightfacetheunpleasantchoicebetweenfiscaldominance

    withassociatedinflationorgovernmentdebtdefault.Thepurepossibilityofgovernmentdebtdefault

    leadstoadiabolicloopbetweensovereignriskandbankingrisk.Assovereigndefaultprobabilityrises,

    bankssufferlossesandcutbacktheirlending.Thisslowsdownthegrowthoftherealeconomyaswell

    asthetaxrevenueforthesovereign.Atthesametime,abailoutofbanksmightbecomemorelikely.

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    Overall,intimesofcrisis,opposingdeflationaryandinflationaryforcesarestrongandbalancingthem

    becomeschallenging.Theeconomyisveryunforgivingtoevensmallmistakes.Itcaneasilydriftofftoa

    deflationaryorinflationarytrajectory.

    Topreempttheseforcesfromtakingover,forwardlookingmonetaryandmacroprudentialpolicyhasto

    incorporateearly

    warning

    signals

    about

    the

    potential

    buildup

    of

    systemic

    risk.

    Low

    volatility

    environmentsandfinancialinnovationsareconducivetosuchabuildup.Simplemeasuresofdebtto

    GDPratioandleverage,ormoresophisticatedliquiditymismatchmeasuresacrosssectors,are

    indicatorsofvulnerability.

    Thenextsectionofthispaperpresentssomesummarystatisticsandoutlinessomesimpleempirical

    observations.Sincedataforcounterfactualscenariosaresparse,themainpartofthepaperrelies

    heavilyontheoreticalreasoning.Variouspolicymeasuresareanalyzedthroughthelensoftworecent

    theoreticalpapersbyBrunnermeierandSannikov(2011,2012),referredtoasBruSanhereafter.Both

    thesepapersbuildonearlierworkonfinancialfrictionsinthemacroeconomybyBernankeandGertler

    (1989),KiyotakiandMoore(1997,2011),andBernanke,Gertler,andGilchrist(1999).Foradetailed

    surveyoftheexistingliterature,wereferreaderstoBrunnermeier,Eisenbach,andSannikov(2012).

    2.APreliminaryLookattheDataWestartwithsomestylizedobservationsbeforeconceptualizingtheredistributiveeffectsofvarious

    amplificationmechanismsandstudyingpolicyresponsestothem.Followingearlierworkbyeconomists

    likeArthurBurnsandWesleyMitchell,CooleyandPrescott(1995)characterizestylizedfactsofbusiness

    cycleswithoutmakingmuch,ifany,referencetofinancialvariablesordebtlevels.

    Becausefinancialfrictionslimittheflowoffunds,thedistributionofwealthandagentsriskbearing

    capacityare

    of

    huge

    relevance

    for

    the

    efficient

    allocation

    of

    economic

    resources.

    Highleverageexposeseconomicagentstosuddenshiftsinwealth.Therefore,wefirstreportdebtto

    GDPratiosacrossvarioussectors.DebttoGDPpermitsabettercrosssectionalcomparisonthanwould

    debttoequity.Amongflowvariableswefocusondebtserviceburdenmeasures.Peoplewithhighand

    variabledebtserviceburdenaremorevulnerabletocashfloworliquidityshortages. However,looking

    atthesemeasuresbasedonexistingdatagivesusonlyaroughguideline.Amoreadvancedapproach

    wouldinvolvelookingatrisktopographyandliquiditymismatchacrossvarioussectorstocapturethe

    endogenousresponsesandfeedbackloops.2

    Asasecondstep,wewouldlikesomeideaofhowmonetarypolicyhelpsmitigateredistributional

    effectsduringtherunuptoandinfinancialrecessions.Thisis,ofcourse,anevenmorechallengingtask

    2Forexample,Brunnermeier,Gorton,andKrishnamurthy(2012,13)proposetoelicitfromeachfinancialfirmits1)

    valueexposureand2)liquidityexposuretochangesinkeyriskfactorsandscenarios.Thisinformationcanbefed

    intoageneralequilibriumframeworktodeterminetheimpactofkeyrisksonassetprices.

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    becausepolicyresponsesareendogenous.Wedonotobservewealthshiftsthatwouldhaveoccurredin

    acounterfactualworldwithoutpolicyreaction.

    Thefirsttaskistoselecttherightgroupingintosectors.Indeed,thewholeanalysisdependsonthe

    classificationandclusteringofvariouseconomicagents.Theoptimalclusteringdependsonthe

    economicquestion

    and

    the

    availability

    of

    data.

    To

    begin,

    we

    follow

    the

    classic

    sector

    analysis,

    which

    dividestheeconomyintoahouseholdsector,nonfinancialbusinesssector,financialsector,and

    governmentsector.Thisgroupingintosuchlargesectorsremovesasignificantquantityofintrasector

    debtthroughnettingofoffsettingloans.Ofcourse,aggregatetotaldebtinaclosedeconomyiszero.To

    furtherouranalysis,wetakeacloserlookatthefinancialsectoranddisaggregateitintovarious

    subsectors.Thissectorisofparticularinterestasitliesatthecenterofmanybalancesheetrecessions.

    2.1DebtandLeverage

    Figure1:DebttoGDPratiosforseveralsectorsovertimeintheU.S.(PanelA)andJapan(PanelB).NBER

    recessionsarerepresentedasshadedcolumns.

    Figure1depictsthedebttoGDPratiosforthekeysectors.PanelAshowsthedebtratiosfortheUnited

    States,andPanelBisthecorrespondinggraphforJapan.NBERdesignatedrecessionsarerepresented

    asshaded

    lines.

    PanelAclearlydocumentsthattheoveralldebtlevelintheU.S.economyhasincreasedsignificantly

    overtime.Thefirstobservationwecandrawfromthedataisthatnotallrecessionsarethesame.From

    1960to1985,thedebttoGDPratiosofthemainsectorschangedverylittle.Forexample,therecession

    in1980wasnotprecededbyanexpansionofdebtandwasinducedbytheFederalReservestightening

    ofmonetarypolicytoconquerinflation.

    0%

    50%

    100%

    150%

    200%

    250%

    300%

    350%

    1962

    1966

    1970

    1974

    1978

    1982

    1986

    1990

    1994

    1998

    2002

    2006

    2010

    0%

    100%

    200%

    300%

    400%

    500%

    600%

    700%

    1979

    1982

    1985

    1988

    1991

    1994

    1997

    2000

    2003

    2006

    2009

    Government

    FinancialInstitutions

    Households

    Corporates

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    Intherecessionoftheearly1990s,afterthesavingsandloan(S&L)crisis,thenonfinancialbusiness

    sectorreduceditsdebtlevel.Itisdifficulttodrawmoredetailedconclusionsfromthenonfinancial

    businessdebttoGDPtimeseries(bottomarea).Indeed,thetemporaryreductionofnonfinancial

    businessdebtduringtheGreatRecessionisconsistentwiththeempiricalfindingthatthissector

    significantlyexpandeditscashholdingsevenbeforethecrisis,asdocumented,forexample,inBates,

    Kahle,and

    Stulz

    (2009).

    ThehouseholddebttoGDPratiosteadilyincreasesfromthemid1980sonwards,despitethebursting

    oftheInternetbubblein2000andtheassociatedrecession.ThesharpdropfollowingtheGreat

    Recessionisstriking.Householdssignificantlyreducedtheirspendingandincreasedtheirsavingsin

    ordertorepairtheirbalancesheets.Apartofthedeclinecanbeattributedtodefaultsonmortgage

    debt,whichinducedlossesinthebankingsector.Financialsectordebtalsorosesteadily,althoughit

    recordedasmalldeclineduringtherecessionoftheearly1990s.Governmentdebtdeclinedduringthe

    ClintonyearsandsignificantlyincreasedduringtheGreatRecessionessentiallyreplacingdeclining

    householddebt.

    Observation1:Notallrecessionsarethesame.Somerecessionsareprecededbyarunupindebtand

    thenaccompaniedbyasubsequentdecline,butothersarenot.

    PanelBdepictsthesamegraphforJapan.PriortoJapanslostdecades,assetpriceappreciationwas

    evenhigherinJapanthanintheUnitedStatesinthe2000s. PanelB,however,clearlyshowsthatin

    Japanthenonfinancialbusinesssector,nothouseholds,builtuplargeamountsofdebtinthe1980s.

    From1990onwards,thenonfinancialbusinessdebttoGDPratiohasremainedroughlyconstantasthis

    sectorsbalancesheetshavebeenunderrepair.Fromlate1996onwards,thisdeleveragingaccelerated

    andthenonfinancialbusinessdebttoGDPratiodeclinedforseveralyears.

    Interestingly,1997

    corresponds

    to

    the

    peak

    in

    nominal

    GDP,

    and

    that

    year

    can

    be

    seen

    as

    the

    transition

    fromadeeprecessiontoasustainedstructuralslump.In1996,8.0trillionyenofassetsweretiedupin

    bankruptcyproceedings.By1997,thisnumberhadjumpedto14trillionyen(seeHamada,Kashyap,and

    Weinstein(2011)).Incontrast,thehouseholdsectorsdebtlevelexperiencedonlyamarginalincrease

    overtheseyears,withasmallslowdowninthefirstfewyearsof1990s.The1997watermarkrecessionis

    almostundetectableinthetimeseriesofhouseholddebt.

    King(1994)studiedrecessionsinearly1990acrossmanycountries.Hedocumentsthatcountrieswith

    thelargestincreaseinprivatedebtfrom1984to1988experiencedthedeepestshortfallofgrowthin

    theperiodfrom1989to1992.ThisevidenceandthecontrastbetweenPanelsAandBleadtothe

    second

    observation.

    Observation2:Notallbalancesheetrecessionsarethesame;differentsectorscanbeinvolved.

    AnotherdifferencebetweentheJapaneseandU.S.crisesistheextenttowhichforeigncreditflowwas

    involved.Hence,methodsforpreventingfinancialrecessionsmightalsodiffer,dependingonwhich

    sectorssufferfromdebtoverhangproblems.

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    Finally,intheUnitedStatesaswellinJapan,financialrecessionsledtohighergovernmentdebt.

    Observation3:Governmentdebtinacrisisoftenincreasesbymorethanthecombineddecreasesin

    householdandnonfinancialbusinessdebt.

    Figure1groupsallhouseholdstogether.However,householdsdebtexposureandrealestateholdings

    varyalotwiththeirageandskilllevel.Consequently,interestratesandinflationcanleadtolarge

    wealthshiftswithinthehouseholdsectoracrossdifferentagecohorts.

    MianandSufi(2009)usemicroeconomichouseholddataacrossU.S.countiestoshowthattherisein

    householdleverageduringthecreditboomwasastrongpredictorofrecessionseverityfrom2007to

    2009.Countiesthatexperiencedthelargestincreaseinhouseholddebtbeforetherecession

    subsequentlysawlargerincreasesinunemploymentandlargerdecreasesinresidentialinvestmentand

    durableconsumption.

    Theredistributionaryeffectsofinflationhavelongbeenrecognized(see,e.g.,Keynes(1923)).Itisuseful

    todraw

    adistinction

    between

    anticipated

    and

    unanticipated

    inflation,

    as

    emphasized

    in

    Kessel

    and

    Alchian(1962).ManystudiesfocusontheU.S.GreenbackerafollowingtheU.S.CivilWar(see,e.g.,

    FriedmanandSchwartz(1963))orWeimarinflation(see,e.g.,BrescianiTurroni(1937)).Morerecently,

    DoepkeandSchneider(2006)provideadetailedandcomprehensivestudyofredistributionaleffectsof

    inflationacrossdifferentagegroupswithintheUnitedSates.Coibionetal.(2012)studytheimpactof

    monetarypolicydecisionsonconsumptionandincomeinequality.Theyarguethatcontractionary

    monetarypolicyincreaseslaborincomeinequality.

    Sofar,ourfocushasbeenprimarilyondebt,but,ofcourse,onepersonsdebtisanothersfinancial

    asset.3Nonfinancialclaimsonrealprojects,property,andphysicalcapitaldifferinthattheyarenot

    related

    to

    liabilities.

    The

    present

    real

    value

    of

    most

    of

    these

    assets

    depends

    on

    current

    and

    future

    interestandinflationrates.Inflationsurprisescanerodethevalueoflongdatednominalclaims.The

    differencebetweenassetsandliabilities,i.e.,networthorwealth,ofasectorshiftsaroundacrosstime.

    Ultimately,allclaimsareheldbyhouseholds.Forexample,firmswealth(equity)isownedbyits

    shareholders.Whendefiningwealthshares,itisimportanttoassignwealthtothosesectorsthatarein

    controlofresources.Inthissetting,itisclearthatcorporateexecutives,nothouseholds,possessthe

    decisionmakingcapitalbackedbythisequity.Whenviewedfromthisperspective,itbecomesapparent

    thatflowsareimportantaswell.

    2.2DebtServiceBurden

    Sofar,

    we

    have

    focused

    on

    stock

    variables

    whose

    value

    might

    appreciate

    or

    depreciate

    as

    events

    unfold.

    Toaddressliquidity,wemustalsoconsiderflowvariables,suchascashflows.Here,wefocusondebt

    serviceburdens.

    3Indeed,whencalculatingthenetliabilitiesofthebankingsector,wesimplyaddedupthefixedincomeclaimsby

    theothersectors(includingtheforeignsector).

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    Forthehouseholdsector,theFederalReserveprovidesthehouseholddebtserviceratio(DSR),whichis

    anestimateoftheratioofdebtpaymentstodisposablepersonalincome.Debtpaymentsconsistofthe

    estimatedrequiredpaymentsonoutstandingmortgageandconsumerdebt. Thefinancialobligations

    ratio(FOR)simplyaddsleasepayments,rentalpayments,homeownersinsurance,andpropertytaxes.

    Theseratioscanbehighfortworeasons:high(real)interestratesorhighdebtlevels.Alowinterest

    rateenvironment

    is

    associated

    with

    high

    house

    prices

    and

    thus

    high

    debt

    levels.

    This

    explains

    why

    the

    financialobligationsratioforhouseholdsinFigure2isrelativelystable.

    Figure2:

    Household

    financial

    obligations

    ratio

    compared

    to

    relevant

    interest

    rates.

    Top

    to

    bottom

    (leftaxis):Householdfinancialobligationsratiocontrolledforpricetorent;(noaxis):pricetorentratio;

    (rightaxis):30yearmortgagerate;threemonthTreasurybillrate;Michiganinflationexpectations.

    Observation4:Forthehouseholdsector,adeclineinthemortgageratehastwoeffects.First,as

    householdscanrefinancemortgagesatlowerrates,thedebtserviceratiodeclines.Second,lower

    interestratesleadtohigherhouseprices,andhouseholdstakeoutlargermortgagestofinancetheir

    houses.

    Inotherwords,thedebtserviceratioshouldbeproportionaltotherealinterestratetimesthedebt

    level

    (or

    house

    prices).

    To

    separate

    the

    direct

    from

    the

    indirect

    effect,

    we

    regress

    the

    log

    of

    the

    debt

    serviceratiotothelogoftherealinterestrateplusthelogofthepricerentratio.WeusetheFHFA

    HomePriceIndex.Theregressionyieldsthefollowingcoefficients:

    LogFORatio LogReal30yMtg.Rate LogPricetoRent Constant

    Coefficient 0.0227 * 0.3697 *** 1.7486 ***

    StandardError 0.0101 0.0603 0.0296

    Rsquared 0.6045

    0.00%

    5.00%

    10.00%

    15.00%

    20.00%

    25.00%

    30.00%

    35.00%

    4.00%

    6.00%

    8.00%

    10.00%

    12.00%

    14.00%

    16.00%

    18.00%

    1984

    1986

    1988

    1990

    1992

    1994

    1996

    1998

    2000

    2002

    2004

    2006

    2008

    2010

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    Table1:Logfinancialobligationratioregressedonlogreal30yearmortgagerateandthelogpriceto

    rentratio.*refersto5%,**to1%,***to.1%statisticalsignificance.

    ThelowerpartofFigure2depictsthereal30yearmortgagerateandtherealthreemonthTreasury

    rate.Togetrealrates,wesimplysubtracttheexpectedinflationrateasmeasuredbytheMichigan

    survey.The

    colored

    area

    between

    both

    rates

    reflects

    the

    spread

    between

    them.

    The

    chart

    confirms

    the

    empiricalfindingthatlowinterestratesareassociatedwithhighhousepricetorentratiosandtheFOR

    controlledforthehousepriceeffectpositivelycommoveswiththe30yearmortgagerate.

    Figure2showsthedebtserviceburdenforhouseholds.Twoaspectsareworthemphasizing.First,the

    debtserviceburdenrisesmoderatelyfrom1995onwards.Relativetotheoverallincreaseofhousehold

    debt,theincreaseindebtserviceburdenhasbeenmodestbecauseofthedeclineininterestrates.

    Morepronouncedisthesharpdropofthedebtserviceburdenfrom2008onwards.Thissharpdeclineis

    duetothedeclineindebtandthedropininterestratesthateasedthefinancialconstraintson

    households.

    Forthe

    non

    financial

    business

    sector,

    we

    conduct

    asimilar

    exercise.

    We

    consider

    the

    interest

    expense

    as

    afractionofearningsbeforeinterest,taxes,depreciation,andamortization(EBITDA).Thedataarefrom

    CompuStat,takingtheratioacrosstheaggregatesectorexcludingfinancialfirms,insurancecompanies,

    andrealestate(SICCodes60xx,61xx,62xx,63xx,64xx,65xx).

    Observation5:Debtserviceburdenforthenonfinancialcorporatesectorispositivelyrelatedtothe

    interestrateandthespreadbetweentheMoodyscorporateBAAindexandthethreemonthTreasury

    interestrate.

    FortheregressionofthedebtserviceburdenontherealthreemonthTbillrateandtherealcorporate

    BAA

    credit

    spread,

    the

    positive

    coefficient

    on

    the

    spread

    is

    highly

    significant

    at

    a

    0.11%

    level.

    InteresttoEBITDA Corporate 3mTsy Real3mTsy Constant

    Coefficient 1.2067 ** 1.4499 *** 0.1169 ***

    StandardError 0.3597 0.2538 0.0183

    Rsquared 0.5298

    Table2:NonfinancialbusinessinteresttoEBITDAratioregressedontheCorporateBAAindexspread

    overthethreemonthTreasuryrate.

    2.3ACloserLookattheFinancialSector

    Apartfromitsroleinmanybalancesheetrecessions,thereareseveralotherreasonstosplitupthe

    financialsector.

    First,

    the

    funding

    flow

    within

    the

    financial

    sector

    is

    large.

    By

    simply

    aggregating

    all

    financialfirmsandnettingoutexposures,wemisssystemicriskandamplificationmechanismsthatarise

    withinthefinancialsector.Second,riskexposuresofdifferentgroupsinthefinancialindustrydiffer

    significantly.Forexample,commercialbanksareactiveinmaturitytransformation,whilelifeinsurance

    andpensionfundshavecomplementaryexposuretoyieldcurvechanges.Third,differentaccounting

    rulesmakeitdifficulttocomparedifferentfinancialindustries.Whilemostassetsofinvestmentbanks

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    aremarkedtomarket,forcommercialbanksonlythesmallertradingbook(andnotthebankingbook)

    followsmarketprices.Differencesinaccountingrulesaffectnotonlydata,butalsofirmsbehavior.

    Wegroupfinancialfirmsintocommercialbanks,bankholdingcompaniestogetherwithinvestment

    banks,shadowbankinginstitutions,governmentagencies,insurancecompanies,andpensionfunds.

    Traditionalcommercialbanksdebtconsistsprimarilyofdemanddeposits,CDs,interbankmarket

    funding,andfundingfromtheirbankholdingcompanies(BHCs).Bankholdingcompaniesissuelong

    termbonds,mediumtermnotes,and(financial)commercialpaper.SomeBHCsarealsoactiveinthe

    investmentbankingbusiness. AfterLehmansfailureinSeptember2008,alllargeinvestmentbanks

    becameBHCs. Hence,wegroupBHCswithinvestmentbanksthathavebrokerdealerbusinesses.

    BHCsandinvestmentbankshavenetrepoliabilitiestothenonfinancialbusinesssectorandthe

    householdsector. Corporationsusetherepomarketlikeacheckingaccounttoholdshorttermfunds.

    Theyalsoinvestalongwithhouseholdsinmoneymarketfundsandotherbondfunds.

    Moneymarket

    funds

    are

    part

    of

    the

    (less

    regulated)

    shadow

    banking

    system.

    Money

    market

    funds

    investinvariousothershadowbankinginstitutionsandstructuredvehicles,suchassecuritized

    mortgagepools,autoloans,andcreditcardreceivables.Whilemanyobligations(includingrepos)net

    outwithintheshadowbankingsector,shadowbankinginstitutionsalsoholdlongtermdebtofBHCs

    andinvestmentbanks. PriortotheGreatRecession,BHCsobtainedcheapsecuredfundingsincethey

    couldrehypothecatetheircustomerscollateralatfavorablehaircuts.Theirsecuritieslendingactivityis

    partofthisactivity.

    GovernmentagencieslikeFreddieMacandFannieMaewerelargeplayersinsecuritizationoften

    simplybypooling(qualified)mortgagesandissuingagencybonds.TheU.S.governmentinitially

    implicitly

    guaranteed

    and,

    since

    July

    2008,

    has

    explicitly

    guaranteed

    these

    agency

    bonds.

    Welookseparatelyatinsurancecompaniesandpensionfundssincethematuritystructureoftheir

    assetsandliabilitiesisdifferentfromthatoftraditionalandshadowbanks. Insurancecompaniesand

    pensionfundshavelongdatedliabilities.Hence,changesintheyieldcurveaffectthemverydifferently

    fromtherestofthefinancialsector.

    Overall,itisdifficulttofindreliablemeasuresofthesesectorsdebtobligations.Thisisespeciallytrue

    fortheshadowbankingsector.Manyentities(suchashedgefunds)donotreporttheirholdingsand

    liabilities. Anotherproblemisthedoublecountingofdebtwithinasectorastheintermediationchain

    grows. ThisdoublecountingexplainsalargepartofthegrowthoffinancialinstitutionsdebtinFigure1.

    Foreignbanks

    that

    are

    active

    in

    the

    U.S.

    also

    complicate

    the

    picture.

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    Figure3:DebttoGDPratioofcommercialbanks,shadowbanks,governmentsponsoredenterprises,

    andbankholdingcompaniesincludinginvestmentbanks.NBERrecessionsarerepresentedasshaded

    columns.

    Figure3illustratesthedebtlevelsofvariouscomponentsofthefinancialsector.Comparedtotheresult

    showninFigure1,thedebttoGDPratioofthetotalfinancialsectorisnowhigher,sincedebt

    obligationswithinthelistedfourfinancialsectorgroupsarenotnettedoutinFigure3.

    Thegeneraltrendisasteadyandfastriseinshadowbanking,partlyattheexpenseofthetraditional

    bankingsystemfromthe1980sonwards. Duringthatperiod,thefollowingeventsoccurred:1)BaselI

    createdincentivesforsecuritization,and2)interestrateregulationfavoredmoneymarketfunds. Atthe

    sametime,ITinnovationsmadecollateralmanagementforrepomarketseasier.

    DuringtheS&Lcrisisinthe1980sandearly1990s,theburgeoningshadowbankingsectoronlypartly

    compensatedfortheslowdownintraditionalbankingactivity.However,financialsectorliabilitiesgrew

    atonlyamoderatepacepriortotheS&Lcrisis.

    Thisresultisinstarkcontrasttothebeginningofthecurrentfinancialcrisis,whereweobservedasharp

    dropinshadowbankingactivityinthesecondhalfof2007. TheinitialdropoccurredasABSissuance

    andtheABCPmarketfrozeup.Interestingly,thisdropwasmorethanoffsetbyanexpansioninactivity

    bythegovernmentsponsoredenterprises(GSEs)andFederalHomeLoanBank.AcloserlookatFigure3

    alsohighlightstherolethatGSEsplayedintheearlypartofthecrisis.InJuly2008,thedebtof

    governmentagenciesbecameexplicitgovernmentdebtanditseemsthattheGSEslosttheirmoderating

    0%

    50%

    100%

    150%

    200%

    250%

    1960

    1962

    1964

    1966

    1968

    1970

    1972

    1974

    1976

    1978

    1980

    1982

    1984

    1986

    1988

    1990

    1992

    1994

    1996

    1998

    2000

    2002

    2004

    2006

    2008

    2010

    2012

    BankHoldingCompany

    NetGSE

    NetShadowBanking

    TraditionalBanking

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    role.TherealcollapseoftheshadowbankingsystemfollowedthedemiseofLehman. Atthatpoint,

    investorsfledtoFDICinsureddemanddeposits,leadingtoanincreaseintheliabilitiesoftraditional

    banksatthattime.Foramoredetaileddescriptionoftheseevents,seeBrunnermeier(2009).

    Interestmovementscanaffectthevalueofassetsandliabilitiesoffinancialinstitutionsandalsoaffect

    futureearnings.

    Different

    parts

    of

    the

    financial

    industry

    are

    sensitive

    to

    different

    parts

    of

    the

    yield

    curve.Hence,nonconventionalmonetarypolicythattriestotargetthetermspreaddirectlyhas

    differentredistributionalconsequencesthanasimplereductionintheshortterminterestrate.

    ForcommercialbanksandBHCs,datafromCallReportsallowustosplitnetincomeintonetinterestand

    netnoninterestincome.Accountingrulesplayanimportantroleintheregressionspecification.Ifassets

    aremarkedtomarket,thenaninterestratecutthatsteepenstheslopeoftheyieldcurveleadstoan

    immediatecapitalgainreportedasanincreaseinnoninterestincome.Ontheotherhand,iftheposition

    isnotmarkedtomarket,anincreaseinaninstitutionsprofitabilitythroughhighernetinterestmargins

    showsuponlywithalaginthenetinterestincomelineitem.

    Adetailed

    study

    of

    the

    effects

    of

    interest

    rate

    changes

    on

    bank

    stock

    returns

    and

    income

    can

    be

    found

    inEnglish,VandenHeuvel,andZakrajsek(2012). Here,wereportasectionofTable8fromtheirpanel

    regressionresults.

    NetInterestIncome NoninterestIncome NetIncome

    3mTsy 0.088 *** 0.015 0.051 ***

    (StdError) 0.014 0.011 0.010

    10y 3mTsy 0.071 *** 0.005 0.037 ***

    (StdError) 0.011 0.008 0.008

    Rsquared 0.690 0.321 0.258

    Table3:

    This

    table

    reports

    three

    income

    to

    asset

    ratios

    regressed

    on

    level

    and

    slope

    of

    the

    yield

    curve

    andvariousothercontrols.ThetableisanexcerptofTable8inEnglishetal.(2012).

    Intheirstudy,Englishetal.considerthreeincomemeasuresnormalizedbyassetsandregressthemon

    maturitygap,otherassets,otherliabilities,savingsdeposits,demanddeposits,loans,andbanksizeall

    interactedwithlevelandslope;theregressionsalsoincludelevelandslopeasindependentregressors

    andfourlagsofincome.

    Thefirstrowofregressioncoefficientsshowsthatanupwardparallelshiftoftheyieldcurveis

    associatedwithhighernetinterestandnetincomeoverassets.Thereareatleasttworeasonsforthis

    result.First,astheinterestrateincreasesthevalueofassetsdropsfasterthantheincome.Indeed,the

    authorsshowthatchangeinlogassetsissignificantlynegativelyrelatedtopositiveshiftsinlevelofthe

    yieldcurve. Second,thisresultcouldbesimplydrivenbythefactthattheleveloftheyieldcurveishigh

    wheneconomicgrowthishigh.Thatis,athirdomittedfactorcouldbedrivingtheseresultswithoutany

    directcausallinkbetweentheleveloftheyieldcurveandtheprofitabilityofbanks.

    Moreinterestingforourpurposesisthecoefficientonthetermspreadbetweenthe10yearTreasury

    bondandthethreemonthTreasurybillrate.Banksaretypicallyactiveinmaturitytransformation,and

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    theirnetinterestincomeandnetincomerisewiththetermspread.Noninterestincomeshowsno

    significantchange.

    Tocontrolfortheendogeneityoftheseinterestratechanges,Englishetal.lookatsurpriseinterestrate

    movementsrelativetothepredictionsfromthefedfundsfuturesmarket.Bankstockpricesfall

    followingan

    unanticipated

    rise

    in

    the

    level

    of

    the

    yield

    curve.

    They

    also

    fall,

    however,

    with

    an

    unanticipatedsteepeningoftheyieldcurve.

    Ontheotherhand,Begenau,Piazzesi,andSchneider(2012)findthatthebigfourBHCsbenefitfrom

    interestratecuts.Thispaperassumesatwoyearswaprateasasinglefactor,sothatallrisks,even

    defaultrisk,canbereplicatedwithacombinationofalongmaturityrisklesspublicbondandcash.

    Withintheirframework,theyfindthatbanksaregenerallyshortcashandlongtherisklessbond.Instead

    ofusinginterestratederivativestohedge,theseBHCsamplifytheirinterestrateexposure.

    Insum,whileaccountingvariablesshowapositivecorrelationbetweenbankinterestnetincomeand

    theslopeoftheyieldcurve,evidenceusingstockmarketdataismixed.

    Observation6:NetincomemeasuresforBHCsarepositivelyrelatedtothetermspread.

    Thematuritystructuresoflifeinsurancecompaniesandpensionfundsdifferfromthoseofbanks.Their

    liabilitiesareverylongterm,oftenupto30years.Sincethesetoffixedincomeinstrumentswithsuch

    longmaturityislimited,theirassetsareofshorterduration.Figure4indicatesanegativerelationship

    betweenthe25yearto10yearTreasuryspreadandlifeinsurancecompaniesnetincome.

    Figure4:Lifeinsurancecompaniesnetincomecomparedtorelevantinterestrates.

    Toptobottom(leftaxis):Lifeinsurancenetincomeoverassets;

    (rightaxis):25yearTbond;10yearTnote;threemonthTbill;Michiganinflationexpectations.

    0.00%

    5.00%

    10.00%

    15.00%

    20.00%

    25.00%

    30.00%

    3.00%

    2.00%

    1.00%

    0.00%

    1.00%

    2.00%

    3.00%

    1978 1985 1992 1999 2006

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    Lifeinsurancecompaniesarenotsubjecttospecialaccountingrules,andtheydontmarktheirpositions

    tomarket.Hence,anychangeinthe25 to10yeartermspreadwillrequiresometimetoshowupinthe

    netincomenumbers.

    InsuranceNI/Assets 25y10y(3) 25y10y(2) 25y10y(1) 25y10y Real3mTsy Intercept

    Coefficient 0.8454* 0.2028 0.2368 0.4622 0.1158* 0.0109***

    StandardError 0.3570 0.4318 0.4288 0.4801 0.0604 0.0029

    Rsquared 0.6552

    PensionFundingStatus 25y10y(2) 25y10y(1) 25y10y Real3mTsy Intercept

    Coefficient 16.9382* 2.1253 13.1257 7.5868*** 0.0483

    StandardError 7.5490 9.3954 10.6505 1.4540 0.0644

    Rsquared 0.8054

    Table4:PanelAreportstheregressioncoefficientsofleveloflifeinsurancecompaniesnetincometo

    assetratioonthecontemporaneousandlaggedlevelofthe25 to10yeartermspreadandshortterm

    realinterestrate.PanelBreportsthecoefficientsforthedifferenceinpensionfundingstatus.

    InTable4,PanelAreportstheregressioncoefficientofnetincomeoverassetsonthe25 to10year

    termspreadwithvariouslagsandtheshorttermrealinterestrate.PanelBrepeatstheexerciseforthe

    fundingstatusofpensionfunds.

    Upwardparallelshiftsoftheyieldcurveboostthenetincomeofinsurancecompaniesandthefunding

    statesofpensions.However,awideningofthe25 to10yeartermspreadtendstohurtslifeinsurance

    companiesand

    pension

    funds.

    Observation7:Whileforbanksthe10yeartothreemonthtermspreadwasmorerelevant,forlife

    insurancecompaniesandpensionfundsthelongerendoftheyieldcurve,i.e.,the25 to10yearterm

    spread,mattersmost.

    Sofar,wehaveignoredtheimportantinterplaybetweenfundingliquidityontheliabilitysideand

    marketliquidityontheassetsideofbalancesheets.Thenextsectionsprovidetheconceptual

    underpinningsofdeeperanalysisandexplaintherolethatmonetarypolicycouldplaytomitigate

    redistributionalamplificationeffects.

    3.TheThreePhasesofFinancialRecessionsThissectionprovidesatheoreticalframeworkbywhichfinancialrecessioncanleadtowealth

    redistributions.Withouttheory,itisimpossibletointerpretthestylizedobservationsmadeabove.The

    regressionslinkingexpenseorincomestatementswithinterestratesareespeciallyplaguedby

    endogeneityproblems.Interestratesarea(monetary)policyinstrumentandrespondtotheeconomic

    environmente.g.,tolossesinthefinancialsystem.

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    Financialrecessionsaretypicallyprecededbyaperiodofincreasingimbalances,boomingassetprices,

    andgrowingcredit.Thesubsequentfinancialrecessionsetsinmotionanumberofamplification

    mechanisms,whichoftenleadtosignificantandpersistentreductionsineconomicactivity.Recovery

    afterfinancialrecessionscanbeslowinlargeadvancedeconomies.

    3.1Boom

    Phase:

    The

    Run

    up

    Financialrecessionsstemfromtheearlierbuildupofsystemicriskintheformofunsustainable

    imbalancesandbubbles. Theaccumulationoftheseimbalancescanbeattributedtoincentiveand

    beliefdistortions.Incentivedistortionsarisefrommoralhazardproblemscausedbyexpectedbailout

    policiesorsimplybecausemarketparticipantsfailtointernalizefiresaleexternalities.Forexample,

    whenleveringupwithshorttermdebt,eachspeculatortakesintoaccountonlythathemightnotbe

    abletorolloverhisdebtandmightbeforcedtoselloffassetsatfiresaleprices.However,thesame

    investordoesnottakeintoaccountthathissellingwilldepressprices,potentiallyforcingotherstosell

    aswell. Putdifferently,financialstabilityisapublicgoodandeachindividualtraderscontributionisless

    thansociallyoptimal.

    Inadequatedataandanecdotalevidenceofthistimeisdifferentthinkingmakeitdifficulttoruleout

    beliefbiases.Initially,boomscanberationalizedbyappealingtosomeformofinnovation.This

    innovationcouldbetechnologicalchange(e.g.,railroads,telegraph,theInternet),financialliberalization

    (e.g.,theremovalofRegulationQ),orfinancialinnovation(e.g.,securitization).

    However,astheimbalancesandbubblesgainmomentum,itultimatelybecomesclearthatthe

    fundamentalimprovementsthatmayhavewarrantedaninitialincreaseinassetpricescannotkeepup

    witheverincreasingvaluations.Eventhoughsomemarketparticipantsarepronetoextrapolative

    expectations,thequestionofhowsuchimbalancescanbuildupforsolongandwhatpreventsrational

    investorsfromcorrectingthemsoonerremains.

    Oneansweristhatindividualrationalmarketparticipantsfinditmoreprofitabletoridethetrendrather

    thanleanagainstitaslongasthemusicisplaying.Inasettinginwhichacorrectionoccursonlyaftera

    sufficientlylargenumberofmarketparticipantschangecourse,eachindividualwaitsforotherstomove.

    AbreuandBrunnermeier(2003)modelthissynchronizationproblem. Marketparticipantssequentially

    receiveasignalthatthecurrenttrajectoryisunsustainable.Eachmarketparticipantweighsthegain

    fromridingthetrendagainsttheriskofbeingcaughtintheinevitablecollapse.Inequilibrium,large

    imbalancesbuildupasagentsinitiallychoosetoridethetrend,andthecorrectionoccursonlyaftera

    significantdelay.Themainproblemisthatthenecessarycorrectionoftenoccursafterlargeimbalances

    havealreadydeveloped.

    Boomsfueledbycreditdeservespecialattention,sincetheburstingofcreditbubblesleadstomore

    deleveragingandstrongeramplificationmechanisms.Forexample,whiletheburstingofthetechnology

    bubblein2000triggeredsignificantwealthdestruction,itsimpactontherealeconomywasrelatively

    mildincomparisontotheGreatRecession.ThedistinguishingfeatureoftheGreatRecessionwasthe

    precedingcreditboom.Similarly,therunupinstockpricesduringtheRoaringTwentieswastoalarge

    extentbasedoncreditintheformofmargintrading,i.e.,itwasfinancedviashorttermloans.This

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    creditfedboomultimatelyledtotheGreatDepression.Likewise,theScandinaviancrisisintheearly

    1990sandtheJapaneselostdecadewerealsoprecededbylendingboomsthathadledto

    unsustainableassetprices.

    Thecoreofouranalysisandpolicyrecommendationsisderivedfromtheframeworkdevelopedin

    BrunSan(2011,2012).

    We

    sketch

    the

    details

    and

    main

    implications

    in

    the

    next

    section,

    but

    will

    highlight

    heretwoimportantresultsthatdirectlyrefertotherunupphase:

    1. volatilityparadox2. destabilizingfinancialinnovation

    Thevolatilityparadoxreferstothephenomenonthatareductioninexogenousrisklevelmakesthe

    systemmorepronetowardsystemicvolatilityspikes.Thereasonisthatlowerexogenousriskinvites

    financialinstitutionstopayoutmoreindividendsandbonuses,therebyincreasingtheirleverage.This

    leadstohighersystemicrisk. Intheend,whatevertheexogenousfundamentalrisk,itisnormalforthe

    systemtosporadicallyentervolatileregimes. Lowriskenvironments,liketheGreatModeration,are

    conduciveto

    greater

    buildup

    of

    systemic

    risk.

    In

    other

    words,

    alow

    volatility

    environment,

    in

    which

    financingiseasytoobtain,istheidealfoundationforacreditboom.

    Second,financialinnovationcanbeselfdefeating.BruSan(2011)considersasettinginwhichproductive

    institutionsareexposedtoidiosyncraticriskinadditiontomacrorisk.Somefirmsgobankruptwhen

    theysufferanidiosyncraticshock. Anticipatingpotentialbankruptcyandforeclosurecosts,bond

    holderschargeaspreadasacompensationfortheseexpectedlossesupfront. Onemightexpect

    financialinnovationthatallowsfirmstohedgeagainsttheseidiosyncraticriskswouldimprovefinancial

    stability. However,whenfirmscanhedgetheiridiosyncraticrisktheyfeelemboldenedandtakeon

    moreleverage,whichcanmakethewholesystemlessstable.Thus,whilesecuritizationandother

    financialinnovations

    are

    ostensibly

    quite

    beneficial

    in

    that

    they

    decrease

    the

    costs

    of

    idiosyncratic

    shocksandreduceinterestratespreads,theycanunintentionallyleadtoamplifiedsystemicriskinthe

    economy.

    3.2BustPhase:LiquidityandDeflationarySpirals

    Afterthegradualbuildupofabubbleandtheassociatedimbalances,atriggereventcanleadtothe

    burstingofthebubble.ThetriggereventthatcatalyzesthecrisissometimesreferredtoastheMinsky

    momentdoesnothavetobeaneventofmajoreconomicsignificancewhenconsidered

    independently.Strategiccomplementaritiescanleadtoamplificationoreventomultipleequilibria,with

    thepossibilityofajumptoaParetoinferiorequilibrium.Insuchenvironments,evenamodesttrigger

    eventcan

    cause

    large

    spillovers

    across

    the

    financial

    system.

    Spilloverscanbedirectfromoneinstitutiontoitscounterparty,leadingtosocalleddominoeffects,or

    theycanbeindirect. Forexample,depositorbankruns,ortheirmodernreincarnationascounterparty

    runsinwholesalefundingmarkets,aredirectspillovers.Indirectspillovers,however,ariseeveniftwo

    partieshavenocontractuallinks.Theyworkthroughcommonriskexposuresthroughprices,

    constraints,andtheendogenousresponsesofmarketparticipants.

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    Tobetterillustratetheunderlyingmechanismandtodevelopaframeworkthatallowsustoevaluate

    variouspolicymeasures,wesketchheretheBrunSan(2011,2012)model.

    Anymodelthatstudiesfinancialinstabilityandtheroleoffinancialfrictionsmustdepartfromthe

    representativeagentanalysisandinvolveheterogeneousagents/sectors.Insteadoffocusingspecifically

    onthe

    sectors

    mentioned

    in

    Section

    2,

    BruSan

    splits

    agents

    into

    three

    groups:

    productive

    agents,

    less

    productiveagents,andthefinancialsector.Interpretedliterally,entrepreneurscanbethoughtofas

    moreproductiveinoperatingapieceofequipment.Viewedmorebroadly,productiveagentsmightalso

    bethosewhoderivemoreutilityfromowningahouseorwhosimplyvalueitmorethanothers.They

    mightalsomorerisktolerant,lesspatient,youngerorsimplymoreoptimistic.Whatisimportantisthat

    someagentswouldliketoscaletheiroperations,i.e.,theircapitalholdings,beyondalevelthattheir

    ownfundingwouldallow.

    Anotherelementisthatfinancialfrictionslimitfundingandrisksharingamongagents.Forexample,

    directfinancialarrangementsarelimitedwhenthefundprovidercannoteffectivelymonitorthe

    borrower.SpecificallyinBruSan,contractscanbewrittenonthevalueofphysicalcapitalbutnotonthe

    (aggregate)efficiencylevelofcapital.

    Thefinancialsectorhasaspecial(monitoring)technologythatpartiallymitigatesthesefinancial

    frictions.4 However,toalignincentives,financialfirmsarerequiredtohaveskininthegame.Thatis,

    similartothestaticsettingofHolmstrmandTirole(1997),thefinancialsectormustberesponsiblefor

    someoftheriskofendborrowers(productiveagents)inordertomitigatefinancialfrictions.Therisk

    bearingcapacityofthefinancialsectordependsonhowwellthefinancialsectoriscapitalized

    specifically,itdependsonitsnetworth.Ofcourse,iftheproductiveagentshavemorewealth,thenthey

    arealsoabletoscaleup.Thestateoftheeconomyisdescribedbythenetworthofthefinancialsector

    andthenetworthoftheproductivesector. Aggregatingthenetworthsharesofthefinancialsectorand

    endborrowersyieldsavariablethatstronglyaffectseconomicactivity. Whenislow,theeconomy

    becomesfinanciallyconstrained. Inspecialcases,becomestheonlystatevariableimportantfor

    systemdynamics.

    Whenthefinancialsectorissufficientlywealthy,competitiveforceserodeexpectedreturnsforfinancial

    firms. Atthatpoint,someofthebankerspayouttheirexcessnetworthandincreaseleveragetoboost

    returns. Increasedpayoutsimplyanupperlimitforthewealthshareofthefinancialsector.The

    theoreticallowerlimitofthefinancialsectorswealthshareisclosetozero.

    Theeconomyissubjecttoexogenousmacroshocksthataffecttheproductivityofphysicalcapital.Either

    fewer(or

    more)

    goods

    can

    be

    produced

    with

    the

    same

    amount

    of

    capital,

    as

    in

    BruSan2011,

    or

    part

    of

    thecapitalcanbemisappropriated,asinBruSan2012.Theseshocksaffectthereturnoncapital.Recall

    thatthereturnoncapitalislowerforlessproductiveagents,asphysicalcapitalheldintheirhands

    produceslessoutput.Inaddition,itmightdepreciatefasterbecausetheymaybelessabletomaintain

    thephysicalcapital.

    4InBruSan2012,financialintermediariesalsohavetheadvantageinbeingabletoholdadiversifiedportfolio

    acrossmanyproductiveagentsprojects.

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    Theequilibriumpriceofcapital,q,dependsontheaggregatenetworthshareofthefinancialsectorand

    endborrowers,whichmovesbetweentwoextremes0 and*.Theupperpricelimitariseswhenthe

    financialsectoriswellcapitalizedand,therefore,capitalispurelyheldbytheproductivesector.When

    banksarelesswellfunded,theequilibriumprice,q,dropsasthedemandforcapitalgoodsdeclines.The

    lowerpricelimitariseswhenapproacheszeroandallcapitalisheldbythelessproductiveagents.

    Anadverseexogenousshockcanleadtosharppricemovementsbecauseofamplifyingadverse

    feedbackloops.Wefirstdiscussthreeliquidityspiralsbeforeanalyzingthedeflationaryspiral.Tobetter

    understandtheliquidityspiral,itisusefultodistinguishbetweenthreeliquidityconcepts.

    1. TechnologicalilliquidityPhysicalcapitalisilliquidifinitialinvestmentisirreversiblethatis,whencapitalcannotbe

    convertedbackintoconsumptiongoods. Technically,technologicalilliquidityiscapturedby

    adjustmentcostsintheinvestmentfunction. Ofcourse,ifprojectsareshortlived,i.e.capital

    depreciatesveryfast,thentheyaredefactoreversible.Thedepreciationratecanbeviewedas

    the

    duration

    of

    the

    capital

    good.

    2. MarketilliquidityMarketliquidityishighifcapitalcanbesoldofftootherswithoutalargepriceimpact.

    a. Physicalcapitalenjoyshighmarketliquidityifitcanbeeasilyredeployed,becauseitsspecificityislow.Inotherwords,ifithasahighsecondbestuse.

    b. Financialclaimshavehighmarketliquidityiftherearenorelatedinformationalproblems:i.e.,incentivesarealignedbetweenprincipalsandagents.

    3. FundingilliquidityUnliketechnologicalandmarketliquidity,fundingliquidityreferstotheliabilitysideofthe

    balancesheet. Fundingliquidityisprimarilydeterminedbythematuritystructureofdebtand

    thesensitivity

    of

    margins/haircuts.

    If

    the

    margin

    can

    jump

    from

    10%

    to

    40%

    overnight,

    then

    30%ofthemarginloanessentiallyhasthematurityofoneday.

    AliquiditymismatcharisesinBruSansinceshortterm(instantaneous)debtfundingisusedtofinance

    thepurchasesoflongdurationcapital. Capitalinvestmentdepreciatesonlyatrate(inthehandsof

    lessproductiveagents,atrate). Moreover,thetechnologicalliquidityofphysicalcapitalislow

    becauseof(dis)investmentadjustmentcosts. Inaddition,marketliquidityislowbecauseofthe

    productivitydifferencebetweenmoreandlessproductiveagents.Capitalfiresoldtolessproductive

    agentsisemployedonlyatitssecondbestuse.(Notethatliquiditymismatch,notmaturitymismatch,is

    important.Forexample,ifmarketliquiditywereperfect,thematuritymismatchwouldnotmatter.)

    Liquidityspirals

    amplify

    any

    initial

    adverse

    productivity

    shock.

    The

    amplification

    depends

    on

    leverage

    andfeedbackloopsthatariseaspricesreacttochangesinthenetworthofconstrainedagents.

    Interestingly,whenthefinancialsectoriswellcapitalized,financialfirmsreducepayoutsinorderto

    avoidassetsales.Thisstabilizesthepriceofcapitalanddampenstheadversefeedbackloop.However,

    whenthefinancialsectorislesswellcapitalized,furtheradverseshocksleadtofiresales. Asa

    consequence,thepriceofcapitaldropssignificantlyandwithitthenetworthofbanksandend

    borrowers.Theseverityofthelossspiraldependsontheinitialleverageofbanksandonthe

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    productivitydifferencebetweenmoreandlessproductiveagents.Recallthatlessproductive

    householdsprovideaflooronthepriceofcapital,astheycanredeploycapitalinitssecondbestuse.

    Thefinancialsectorsleveragedependson1)thepayoutpolicyingoodtimes,and2)assetholdings.

    Whenchoosinghowmuchtopayoutintheformofdividendsandbonuses,eachfinancialfirmtrades

    offsafety

    with

    the

    cost

    of

    retaining

    earnings.

    Holding

    extra

    funds

    inside

    the

    firm

    provides

    safety,

    especiallyina(endogenously)riskyenvironment,asfirmscansustainnegativeshockswithouttriggering

    assetfiresales.

    Inbadtimes,firmspayoutislimitedandtheirrisktakingdependsonthefollowingtradeoff. Whenthe

    networthofbanksislow,theirprofitopportunitiesarehighascompetitionisrestrained.Themarginal

    valueofanextradollarofnetworthishigh.Ontheotherhand,riskishighsincesubsequentnegative

    shocksdepresspricesevenfurther.Becauseoftheincreasedmarginalvalueofwealth,alowerchoiceof

    leveragewouldhaveledtoasuperioroutcome.Atanymomentintime,institutionsbalancethistrade

    offbetweenendogenousreturnandendogenousrisk.Astheirnetworthdrops,theyreducetheir

    holdingofcapitalassets.5

    Themodelexhibitsinterestingendogenousvolatilitydynamicsduetosystemicrisk.Importantly,

    systemicriskdependsonagentsbehavioralresponsesandrisktakingdecisionsbothbeforeandafter

    adverseshocks.Themodelalsoexplainstheasymmetry(negativeskewness)ofbusinesscycles.

    OnecanextendtheanalysisofBruSan11andintroduceadditionalfundingliquidityrestrictionsthat

    explicitlydependonthevolatilityofthepriceprocess(see,e.g.,Phelan(2012)).Aspricevolatility

    increases,marginandhaircutrequirementstighten.Inthiscase,anadditionalliquidityspiral,i.e.,the

    margin/haircutspiral,emerges(seeBrunnermeierandPedersen(2009)).Highervolatilityleadstohigher

    margins,forcinginstitutionstosellmorecapital.Theresultingsharperpricemovements,inturn,

    increasevolatility

    and

    adverse

    feedback

    obtains.

    BruSan2012addsmoneytotheanalysisinordertostudytheinteractionbetweenfinancialstabilityand

    pricestability.ThemodelallowsonetostudytheFisherdeflationaryspiralanditsinteractionwiththe

    liquidityspirals. Unlikecapital,whichisrisky,moneysroleisasasafestoreofvalue. Outside(fiat)

    moneyisissuedbythegovernmentanditsvalueisdeterminedendogenously.Insidemoneyisissuedby

    thefinancialsectorintheformofshorttermnominaldebtobligations.

    Again,letusstartwiththetwoextremescenarios:1)whenthefinancialsectorisclosetobankruptcy

    andhenceessentiallyabsent,and2)whenthefinancialsectorisextremelywellcapitalized.Inthefirst

    case,agentscanholdcapitalfortheirownenterpriseandmoney.Productiveagentsarewillingtohold

    primarilyphysicalcapital,whilelessproductiveagentstilttheirportfolioprimarilytowardlessrisky

    money. Whileallagentsearnthesamereturnfromholdingmoney,productiveagentsearnhigher

    returnfromcapital. Inthesecondextremecase,thefinancialsectorhasalargeriskbearingcapacity.

    5InBruSan,activeinstitutionsnetworthisalwaysnonnegative.Hence,theydonotgambleforresurrectionas

    wasarguablythecaseduringtheS&Lcrisis.IntheongoingGreatRecession,exposurereductionsweremore

    prominent.Bankscouldmoreeasilyextractmoneywithdividendandbonuspaymentsthanbygamblingthrough

    riskyinvestments.

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    Thefinancialsectorfundsitselfthroughshorttermnominaldebt,i.e.,byissuinglargesumsofinside

    money,andchannelsthefundstotheproductivesector. Itisassumedthat,unlikeagentswhocan

    investonlyintheirownenterprise,thefinancialsectorcandiversifyacrossproductiveagentsprojects.

    Asbefore,theextenttowhichlessproductiveagentsarewillingtofundthefinancialsectordependson

    banksrisk

    bearing

    capacity.

    The

    financial

    sector

    faces

    askin

    in

    the

    game

    constraint.

    A

    well

    capitalized

    financialsectorcanchannelsufficientfundstotheproductivesector,improvingresourceallocationin

    theeconomy.Thisalsoleadstomoredemandforandahigherpriceofphysicalcapital,q.Ontheother

    hand,thepriceofmoney,p,isnowlowersincetheextrasupplyofinsidemoneycreatedbythefinancial

    sectorcompeteswithoutsidemoneysupply.

    Next,consideranadversemacroshock.Asbefore,theliquidityspiralcreatesadverseeffectsonthe

    priceofcapitalandintermediariesnetworth.Now,however,thereductioninthefinancialsectorsnet

    worthhasasecondimportanteffect.Asthefinancialsectorcutsbackitsexposuretosatisfyitsskinin

    thegameconstraint,itissueslessinsidemoneyjustasproductiveagentsareforcedtoselloffphysical

    capitaltolessproductiveagents,depressingthepriceofcapital.Themoneymultipliercollapses.Overall

    moneysupplyintheeconomyshrinks.6 Hence,thevalueofmoneyincreases,i.e.,deflationarypressure

    emerges.

    Asdeflationincreasestherealvalueofthefinancialsectorsliabilitiesandtherebyreducesitsnetworth

    evenfurther,adeflationaryspiralarises.Becauseofthesetwospirals,anegativeshockhitsthefinancial

    sectoronbothsidesofthebalancesheet.Ontheassetside,theliquidityspiraldepressesassetprices

    andreducesthebanksnetworth.Ontheliabilityside,therealvalueofliabilitiesactuallyincreasesafter

    anegativeshock,leadingtofurthererosionofnetworth.Bothspiralsamplifytheoverallimpactofthe

    initialexogenousshock.Notethatholdingmoneyisattractivealsoforhedgingreasons,asintimeof

    crisisthevalueofmoneyincreasesasaresultofdeflationaryforces.

    Twoimportantinsightsemergefromthisanalysis,whichwillalsoguideourpolicydiscussioninthenext

    section:

    First,financialintermediariesimposeanegativeexternalityoneachother.Aseachintermediarydelevers,itdoesnotinternalizeitscontributiontoeithertheassetpricecollapseorthe

    deflationarypressure.

    Second,spiralsafteranadverseshockcauselargeredistributionsawayfromthebankingsector.However,thisredistributiondoesnotbenefitotheragents;rather,itleadstoanoverallwealth

    destructionduetoinferiorresourceallocation.

    Sofar,anadverseshocksimplyreducesthemoneysupplyasthemoneymultipliercollapses.Inasetting

    withnonlogutilityfunctions,moneydemandcanalsoincreaseintimesofcrisisastheprecautionary

    savingsmotiveincreases.Atthatpoint,demandforanysafestoreofvaluewouldincreaseevenmore.

    6SuchacollapseoccurredduringtheGreatDepression,creatingpainfuldeflationwithlonglastingeffectson

    borrowers. However,thisexperiencecontrastswiththatoftherecentfinancialcrisis,wherethemoneymultiplier

    collapsewasoffsetbyatremendousincreaseinthemonetarybase.

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    Thedemandforotherassetsthoughttobesafewouldriseaswellinthisflighttosafety.Thatis,asset

    priceinflationsetsin,whiletheCPIfalls.

    Toallowforopenmarketoperations,BruSan2012introducesaperpetualgovernmentbondthatpaysa

    fixednominalamountofinterestineveryperiod.Abroadmoneymeasurethenincludesnotonlyshort

    termmoney

    but

    also

    this

    government

    bond.

    If

    there

    is

    adanger

    that

    the

    government

    might

    default

    on

    longtermbonds,adiabolicloopbetweensovereignandbankingriskarises.Furthermore,themonetary

    transmissionmechanismcouldbeimpaired.Section4focusesonpolicyresponsesanddiscussesthese

    aspectsinfurtherdetail.

    3.3RecoveryPhase

    Recoveryfromfinancialrecessionscanbesluggishandprotracted.Sectorswhosefinancesareimpaired

    devotetheirresourcestorepairingbalancesheets.AftertheburstingoftheJapaneserealestateand

    stockmarketbubble,thenonfinancialbusinesssectorscaledbackinvestmentsandfocusedonpaying

    offdebt.Currently,intheUnitedStates,householdsarescalingbackconsumptiontoaccumulate

    savings.

    In

    addition,

    the

    financial

    sector

    is

    slowly

    recapitalizing

    itself

    through

    retained

    earnings

    to

    satisfy

    highercapitalrequirements.

    BernankeandGertler(1989)wrotethefirsttheoreticalpapertohighlightthepersistenceofbalance

    sheetrecessions.Intheirwork,thecorporatesectorreturnstonormalsteadygrowthonlyafteralong

    periodofrecapitalization.InBernanke,Gertler,andGilchrist(1999)andKiyotakiandMoore(1997),this

    persistenceintothefutureaffectscurrentassetpricesandhencefeedsback,exacerbatingtheinitial

    amplificationeffect.BruSan2011givesafullcharacterizationofthevolatilitydynamics.Whilethesystem

    isrelativelystablewithreasonablegrowthinthenormalregime,itcanbethrownoffandtrappedfor

    sometimeinarecessionwithlowgrowthandlowmarketliquidity.Thishappensaftermovingthrougha

    highvolatilityregion.ThestationarydistributioninBruSan2011isUshaped,implyingthatthesystem

    spendsmostofitstimearoundthesteadystate, transitionsveryspeedilythroughtheintermediate

    regionwithhighvolatility,andalsospendsaconsiderableamountoftimeinthedepressedregimewith

    lowgrowth.

    Empirically,theprofessionhasnotsettledthequestionofhowfastrecoveryoccursafterfinancial

    recessions.ReinhartandRogoff(2009)defineaslumpastheperiodfromthepeakinGDPpercapitato

    thedateatwhichthatpeakisregained.Theyprovideempiricalevidenceforasluggishrecoveryphase.

    BordoandHaubrich(2012)arguetothecontrary,measuringthespeedoftherecoverybyitsslope.For

    theU.S.,onlytheGreatDepressionandGreatRecessionstandoutasslowrecoveries.

    Thespeedy

    recovery

    of

    emerging

    market

    economies

    after

    asudden

    stop

    of

    capital

    inflowcoined

    as

    thePhoenixMiraclebyCalvo,Izquierdo,andTalvi(2006)alsoseemstocontradicttheabove

    mentionedslowrecoveryhypothesisoffinancialrecessions.Acloserlook,however,revealsthatakey

    foremergingmarketrecoveryisexportgrowthresultingfromrealexchangeratedepreciation.This

    leadstohighergrowthinoutput,workingcapital,andtemporaryemployment.However,despitethe

    realexchangeratedepreciation,creditandlongtermemploymentarealsosubduedinemerging

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    markets.Overall,theempiricalevidencesuggeststhattheeffecthastointeractwithsomeother

    variables,suchashousingdebtorforeignexchange.

    4.MonetaryPolicy

    Carefullydesignedpolicycanreducethefrequencyoffinancialrecessionsandminimizeinefficiencies

    oncetheyhappen.Ouranalysissuggeststhatsomeseeminglynaturalpolicyresponsescanactuallybe

    counterproductive.Importantly,contrarytopredominantview,thethreeobjectivesofpricestability,

    financialstability,andfiscalgovernmentdebtsustainabilitycannotbetreatedindependentlyfromeach

    otherandassignedseparatelytomonetary,regulatory,andfiscalauthorities,respectively.Theyareall

    closelyinterlinked.

    Thefirstpartofthissectionlooksattheoptimalmonetaryresponsetoanadverseshock,whilethe

    secondpartstudiesmonetarypolicyrulesfromanexanteperspectivewithaspecialfocusonmoral

    hazard.Section5dealswithfiscalpolicyandrestructuringpolicy.

    4.1MonetaryPolicyResponsetoAdverseShocks

    Mostcentralbankshavethefollowingmonetarypolicytoolsattheirdisposal:1)shortterminterestrate

    policies,2)helicopterdropsofmoney,3)assetpurchaseprograms,and4)collateralpoliciesfor

    lendingprograms.(EquityinfusionsandotherrestructuringpoliciesarediscussedinSection5.2.)The

    effectivenessofthesetoolsdependsonthecentralbankscredibilityaboutitsfuturebehavior

    conditionalonthestateoftheeconomy.

    MostmacroeconomicmodelsemphasizetheKeynesianinterestratechannel. Thekeyfrictioninthese

    modelsis

    some

    form

    of

    price

    or

    wage

    stickiness.

    Lowering

    the

    nominal

    interest

    rate

    leads

    to

    alower

    real

    interestrate.Alowerrealinterestratestimulatesaggregatedconsumptionandinvestmentasthe

    representativeagentbringsconsumptionforwardandinvestmentprojectsbecomemoreprofitable.In

    NewKeynesianmodels,interestratesaresetbyarulee.g.,theTaylorruleandmoneyservesonlyas

    aunitofaccount.Thezerolowerboundofthenominalinterestrateisanimportantrestrainingfactor

    andthemainjustificationfornonconventionalmonetarypolicyandfiscalmeasures.

    TheITheoryofMoneyinBruSan2012stressesanewchannel:theredistributionalchannelofmonetary

    policy.Insteadofpricestickiness,financialfrictionsarethesourceofinefficiencies.Monetarypolicy

    leadstochangesinvariousassetpricesandthevaluesofdebt/mortgagecontracts.Thismonetary

    transmission

    channel

    works

    primarily

    through

    capital

    gains,

    as

    in

    the

    asset

    price

    channel

    promoted

    by

    Tobin(1969)andBrunnerandMeltzer(1972).Lowerinterestratescanalsoincreasetherisktaking

    behaviorofinvestorsandassetpricedistortions,asshowninAdrianandShin(2011).

    AnimportantelementinBruSan2012isthatassetholdingsarenotsymmetric,andhencemonetary

    policyaffectsdifferenteconomicagentsdifferently.Asaconsequence,monetarypolicyredistributes

    wealth.Thisredistributiveeffectcanmitigatedistortions,suchasdebtoverhangproblemsthatarise

    fromamplificationmechanismsdescribedinSection3. Thesemitigatingeffectscanspurgrowthand

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    leadtoanoverallhigherwealthlevelintheeconomy. Forspecificscenarios,monetarypolicycaneven

    leadtoParetoimprovements,makingallagentsintheeconomybetteroff.Wethereforerefertothese

    effectsasrelativewealthredistributionstostressthatredistributioninoursettingisnotazerosum

    game.

    Tostudy

    monetary

    analysis,

    we

    have

    to

    add

    important

    elements

    to

    the

    bare

    bones

    model

    of

    BruSan2012describedinSection3.First,acentralbankinBruSan2012paysinterestonreserves

    (outsidemoney),whichmirrorstheinstitutionalframeworkintheeurozoneandintheU.S.sincethefall

    of2008.Inthemodel,theseinterestpaymentsarefullyfinancedbyseigniorage.Inotherwords,any

    interestpolicyisfullyfinancedandbudgetneutralatanypointintime.Varyingtheshortterminterest

    rateisthekeyconventionalmonetarypolicytool.

    ConventionalMonetaryPolicy

    Conventionalmonetarypolicycaninfluencewealthdistributionintwoways.First,loweringtheshort

    terminterestratereducesbanksfundingcosts. Ifcompetitionamongbanksislimited,banksarenot

    forcedtopassonthecheaperfundingcoststotheircustomersandhenceareabletoincreasetheir

    profitmargins. Theincreaseinnetinterestmarginsisaslowwaytorecapitalizebanks.Englishetal.

    (2012)showthatbanksinterestincomeistypicallyhigherinalowinterestrateenvironment.

    RedistributionaleffectsofmonetarypolicyweredebatedinJapaninthemid1990swhentheBankof

    Japanadoptedalowinterestratepolicy.7

    Second,interestratepolicycanaffectassetprices. BruSan2012focusesontheredistributionaleffects

    causedbyassetpricemovements.Thepaperintroducesalongtermbondspecifically,aconsolbond

    withinfinitematuritythatpromisesnominalinterestpayments.Now,interestratepolicyhasanimpact

    becauselowshortterminterestratesincreasethevalueoflongtermbondsandredistributewealthto

    longtermbondholders.Inthemodel,thecentralbanksimplyreducestheinterestitpaysonoutside

    money(reserves)

    to

    lower

    the

    short

    term

    interest

    rate.

    In

    reality,

    central

    banks

    might

    also

    have

    to

    conduct(relativelysmall)openmarketoperationsthatexchangeshorttermmoneyforlongtermbonds

    toensurethatthenewshorttermratetargetisreached.InBruSan2012,thesectorthatisexposedto

    theliquidity/deflationspiralriskholdsthelongtermbond,whenitexpectspolicyresponsestocause

    theappreciationofthesebondsindownturns. Hence,anaccommodativeinterestratepolicyafteran

    adverseshockpartlyoffsetsthenegativewealthshocks.Thiscanbereferredtoasa"stealth

    recapitalization"becauseitisawaytoredistributewealthtowardthedistressedsector.

    Notethatthisframeworkemphasizesmoneyasastoreofvalue.Bothshorttermmoneyandlongterm

    bondsarestoresofvalueandhencearepartofthetotalbroad(outside)moneysupply.

    Forconventionalmonetarypolicytocontrolthelongtermyield,i.e.,toachieveashiftinthelongterm

    bondprice,itisnecessarythatthecentralbankcrediblycommittoalowinterestrateuntiltheeconomy

    strengthensagain.

    7Forexample,Ono(1997)findsnodirectincometransfersfromdepositorstobanks.Banks

    surgeinprofitwasprimarilyduetocapitalgainsinlongtermfixedratebonds.

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    UnconventionalMonetaryPolicy

    Unconventionalmonetarypolicycantakeondifferentforms.First,thefamoushelicopterdropof

    shorttermmoneyorlongtermbonds(whichhasafiscalcomponenttoit).Iftheextramoneysupplyis

    targetedataspecificsector,thatsectorwillbenefitthemost.Buteveniftheextramoneyisdistributed

    symmetricallyamongalleconomicagents,thosethatholdnominalclaimssuffercomparedtoagents

    thatown

    real

    projects,

    because

    the

    overall

    price

    level

    adjusts.

    The

    relative

    redistribution

    occurs

    betweennominalandrealclaimholders.

    Second,assetpurchaseprogramsdirectlybenefittheholdersoftheseassets. Forexample,longterm

    bondyieldsaredeterminedbybothcredibleshortterminterestratepolicyandbondpurchase

    programs. Forexample,ifabondpurchaseprogrammakesitmoredifficult(easier)tocommittoalow

    interestrateenvironment,theoverallimpactofshortterminterestratesonthelongtermyieldmight

    bemuted(larger).KrishnamurthyandVissingJorgensen(2011)trytoquantifytheimportanceofvarious

    channelsoftheFederalReservesquantitativeeasingprograms.

    Thecentralbankcanalsopurchaseother,moreriskyassets.Bydoingso,thecentralbanktakeson

    (upsideanddownside)risk.Forexample,thecentralbankcouldpurchaseriskyclaimsorcapitaldirectly,

    asinBruSan2012.Iftheassetpurchaseprograminvolvesrealclaims,thenthemoneysupplyincreases.

    Thisalsoinducesarelativeredistributionbetweennominalandrealclaimholders.Notethateven

    nominalbondswithdefaultriskcanhavearealcomponentifthedefaultprobabilitydependsonthe

    pricelevel.

    Lendingprogramsarethethirdformofnonconventionalmonetarypolicy.Centralbankshavelenderof

    lastresortrole,Bagehot(1877).8Theseprogramsaresubsidizedlendingarrangementswiththepurpose

    ofinducingcertaininvestorstopurchaseorholdontoparticularassets.Thisprovidesapricesupportfor

    theseassetsanddirectlybenefitsthepreviousholdersoftheseassets.Investorswhotakeadvantageof

    thisprogram

    benefit

    only

    to

    the

    extent

    that

    they

    do

    not

    compete

    the

    rents

    away.

    Unlikewithstraightassetpurchaseprograms,withlendingprogramsthecentralbankassumesonly

    downsidetailrisk.Theriskmaterializesonlyifboththevalueoftheunderlyingcollateralfailstocover

    theborrowedamountandtheborrowingpartydefaults. Byvaryingthecollateralrequirements,the

    centralbankassumesmoreorlesstailrisk.

    Whenismonetarypolicymostwelfareenhancing?AsoutlinedinSection3,absentanymonetary

    intervention,anadverseshockleadstofiresalesofphysicalcapitalfromproductivetolessproductive

    agentsand,inaddition,todeflationarypressure.Monetarypolicythatisaccommodatinginthesestates

    of

    the

    economy

    provides

    support

    for

    the

    price

    of

    capital

    and

    other

    assets.

    The

    analysis

    in

    BruSan

    shows

    thatthisismostwelfareenhancingif

    1. marketliquidityofcapitalislow,sincethedifferencebetweenproductiveandlessproductiveagentsislarge,and

    8Inourframeworkfinancialandpricestabilityarecloselylinkedandweconsiderfinancialstabilityinstrumentsas

    partofmonetarypolicyinstruments.

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    2. thelevelofexogenousvolatilityislow.Intuitively,iftheproductivitydifferencebetweenagentsislarge,thenreallocatingphysicalcapitaltothe

    lessproductiveagentsdestroysmorewealth.Inaddition,thelargerpriceimpactoffiresalesamplifies

    theliquidityanddeflationaryspirals.Insuchanenvironment,endogenousriskisveryhigh.When

    exogenousrisk

    is

    low,

    the

    resources

    required

    to

    effectively

    stabilize

    the

    system

    are

    low,

    and

    hence

    monetarypolicycanhavethegreatestbenefit.

    Theresponsivenessofmonetarypolicydependsonthequantityandmaturityofoutstanding

    governmentdebtandotherlongdatedassets,aswellasonwhethermortgageinterestratesare

    primarilyfixedorfloating.Forexample,iftheailingsectorholdsmorelongdatedassets,thenasmaller

    interestratecutmightsufficetogeneratethesamecapitalgainseffect.Surprisingly,interestrate

    derivativesthatinsulatebanksfrominterestrateriskmakemonetarypolicylesseffective.However,

    thereisevidencethatlargebankholdingcompaniesusetheseinterestratederivativestoamplify

    interestrateriskratherthanreducethisrisk(seeBegenauetal.(2012)).

    Linkingthe

    ITheory

    of

    Money

    with

    the

    Fiscal

    Theory

    of

    the

    Price

    Level:

    A

    Diabolic

    Loop

    Sofar,wehaveassumedthatthegovernmentbudgetisalwaysbalancedandhencegovernmentdebtis

    sustainable.Indeed,thegovernmentsonlyexpensewastheinterestpaymentsonreservesfinancedby

    seignorage.Sincereservesarearelativelysmallpartofthetotalmoneysupply,thisisnotadominant

    effect.Next,weenrichtheenvironmenttoallowforthepossibilityofgovernmentdebtbecoming

    unsustainablei.e.,aftertheeconomysuffersanadversegrowthshock.ThisallowsustobridgetheI

    TheoryofMoneywiththeFiscalTheoryofthePriceLevelandtostudyinflation,capitalflight,andthe

    diabolicloopbetweensovereignandbankingrisk.

    Whengovernmentdebtbecomesunsustainable,therearethreepossibleregimes.Inthemonetary

    dominanceregime,

    the

    monetary

    authority

    is

    in

    the

    drivers

    seat

    in

    the

    sense

    that

    adverse

    shocks

    are

    mitigatedbyfiscalspendingcutsinordertoreturntoasustainablefiscalspendingpathandstabilizethe

    valueofthecurrency.Inthefiscaldominanceregime,thefiscalauthoritydeterminesgovernment

    spending.Indoingso,ithasalargeimpactoninflation,andthemonetaryauthorityisdefactonotinfull

    controlofinflation.Proponentsofthisfiscaltheoryofthepricelevelliteraturequestionwhethera

    centralbankcaneverbeindependentofthefiscalauthorities.9Thethirdregimeinvolvesadefaulton

    governmentdebt.10Ofcourse,exante,therecanbepolicyuncertaintyaboutwhichregimewill

    materialize.Thispoliticaluncertaintyaddsanotherlayerofendogenousrisk.

    Ifthemarketexpectsthat1)thegovernmentwillnotrestrainitsfiscalspendingand2)thecentralbank

    will

    not

    monetize

    the

    unsustainable

    part

    of

    future

    government

    expenditures,

    then

    long

    term

    bonds

    are

    subjecttodefaultandthedifferencebetweensovereignandprivatedebtclaimsvanishes.Inother

    words,governmentbondslosetheirmoneynessastheirroleasastoreofvalueiscompromised.The

    9FurthercomplicationsariseintheEuropeancontext,inwhichacentralbankhastodealwithseveralfiscal

    authorities.See,e.g.,Sims(1999)andCanzonerietal.(2010).10

    Governmentsoftendefaultinmoresubtlewaysontheirobligations.Forexample,theymayforcepublicly

    ownedpensionfundsandbankstoholdgovernmentpaperatunfavorablerates.Theseandothermeasuresgo

    oftenundertheheadingFinancialRepression.

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    overallsupplyofsafeassetsdrops.Asimilareffectoccursfordemanddeposits,whendemanddeposit

    insuranceisnotsufficientlyfunded.

    Animmediateconsequenceofthisuncertaintyisaflighttosafety.Whenthegovernmentbondlosesits

    safeharborquality,investorswillshifttootherstoresofvalue,suchasforeigngovernmentbondsor

    gold.Which

    foreign

    government

    bonds

    are

    considered

    to

    be

    safe

    depends

    on

    foreign

    countries

    debt

    sustainabilityandinstitutionalarrangements. Assafeassetsareanequilibriumphenomenon,some

    assetscanbeconsideredsafeowingtoselffulfillingexpectations. Ifotherinvestorstendtobuya

    certainassetintimesofcrisis,thenthehighervalueofthisassetcanbemoreeasilysustained.Aclassic

    exampleisgold,whichhasbeenasafeharborforthousandsofyears.Itsvaluerisesintimesofcrises

    eventhoughthefundamentalvalueofgoldisnotstronglytimevarying.

    Ifthefinancialsectorholdsalotofgovernmentdebt,thediabolicloopbetweensovereigndebtand

    bankingdebtcanexacerbatethesituation.Thereareatleasttwospiralsatworkhere.Astherealvalue

    oflongtermbondsdrops,thefinancialsectorcontractsitsbalancesheet.Theresultingcreditcrunch

    stiflesrealeconomicgrowth.Lowereconomicgrowthlowersthetaxrevenueforthesovereign,making

    adefaultormonetizationofgovernmentdebtmorelikely.Atthesametime,thefinancialsectormight

    needtoberecapitalizedbythegovernment.11Theincreasedprobabilityofabailoutmakesitlesslikely

    thatthegovernmentwillbeabletohonoritsolddebt. Inaddition,deflationaryandinflationary

    pressuresareatwork.

    Anegativeshockonsustainabilityofgovernmentdebtcantriggerbothdeflationaryandinflationary

    forces.Mechanismsthatleadtodeflationarenotthesameasinflationarymechanisms.Inotherwords,

    deflationisnotsimplynegativeinflation.TheFisherdeflationaryforceoutlinedinSection3ariseswhen

    acriticalsector,e.g.,thefinancialsector,issuddenlyundercapitalized,possiblybecauseofadropinthe

    realvalueofgovernmentbondsheldbybanks.Ifbondpricesdroponfearsofdefaultbythefiscal

    authorities,then

    deflationary

    forces

    can

    be

    very

    powerful.

    If

    the

    bond

    prices

    drop

    on

    expectations

    of

    governmentdebtmonetization,theninflationaryforcesareprevalent.Atthesametime,thefinancial

    sectorwillcontractifitholdsalargequantityofthisdebt.Thisleadstoanopposingdeflationarypush,

    butalsotoadeclineingrowth.Thelattermakesthegovernmentdebtevenlesssustainable,requiring

    evenmoremonetizationandinflation.

    Inaddition,weshouldalsodistinguishbetweendifferenttypesofinflation.Inflationcanbehelpfulto

    overcomedebtoverhangproblemsifitdevaluesdebtandbooststhenominalincomeoftheeconomic

    agentsclosetodefault.Ontheotherhand,costpushinflation(e.g.,duetohigheroilprices),ifnot

    accompaniedbyhigherwagegrowthofindebtedhouseholds,iscounterproductive.

    Furthermore,flightstosafetytootherdomesticassetsleadtoassetpriceinflation.Flighttosafetyto

    foreignassetslowerstheexchangerate,makesimportsmoreexpensive,andhenceincreasesCPI

    inflation.

    11ThisdiabolicloopisveryprevalentintheongoingEuropeancrisis.SeeEuronomics(2011)fortheirESBies

    proposalthatalleviatesthisproblem.

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    Insummary,duringcrisestimes,theopposinginflationaryanddeflationaryforcesareverypowerful.12

    Balancingtheseforcestotargetpricestabilityisespeciallychallenging.Thesystemisnotveryforgiving:

    Smallpolicymistakescanleadtheeconomytodriftontoaninflationaryordeflationarypath.In

    addition,asmarketparticipantsfinditdifficulttopredictfutureinflation,investmentdeclinesand

    growthishindered.Traditionaltransmissionmechanismsareimpairedasinformationaboutpotential

    defaultor

    monetization

    takes

    precedence

    over

    interest

    rate

    decisions.

    4.2MonetaryPolicyRules

    Sofar,wehavefocusedonmonetarypolicyresponsesfollowingshocks.Inthissection,wetakeonestep

    backandanalyzehowapolicyruleshouldbedesignedfromanexanteperspective.Independentof

    whethermonetarypolicytriestomitigatefinancialfrictionsorpricerigidities,anygeneralmonetary

    policyrulemusttakeintoaccounthowitaffectseconomicagentsbeliefs.Viewedmoreabstractly,ifa

    centralbankcanperfectlycommittoarule,thentheoptimalpolicyruleissimplytheresultofacomplex

    implementation/mechanismdesignproblem.Theintentoftheruleistoaffecttheeconomicagents

    beliefsandbehaviorinordertosteertheeconomytowardthesociallydesirableobjective.Before

    discussinghow

    such

    rules

    affect

    economic

    agents

    behavior,

    including

    moral

    hazard,

    we

    contrast

    the

    twodifferentobjectivesmonetarypolicycouldhave:mitigatingdistortionsthatresultfromfinancial

    frictionsorfrompricerigidities.

    FinancialFrictionView

    Inaneconomywithfinancialfrictions,marketsareincomplete.Financialfrictionspreventagentsfrom

    insuringeachotheragainstshocks.Hence,shocksleadtoshiftsinthewealthdistribution.Initialshocks

    canbeamplifiedthroughpricemovements,andalargepartoftheriskisendogenous.Redistributional

    monetarypolicycanmitigatethesewealthshifts.Bydoingso,italsoreducesendogenousriskand

    stabilizestheeconomy.Inotherwords,apredictableandwellcommunicatedmonetarypolicyrulecan

    provideamissing

    social

    insurance

    contract

    across

    various

    economic

    agents.

    It

    acts

    like

    acontingent

    wealthtaxthattemperswealthshifts.Inthisprocess,itreducesendogenousrisk,enablesmorefunding

    tobechanneledtoprofitableprojects,andstimulatesgrowth.

    Viewedinamultiperiodsetting,monetarypolicyredistributeswealthalongthewholemultiperiod

    eventtree. Atanypointintime,future(contingent)redistributionofwealthcanbeviewedascurrent

    redistributionofrisks. Byconductingcertainmonetarypolicymeasures,thecentralbankassumestail

    risk.Forexample,whenlendingtofinancialinstitutionsagainstcollateral,thecentralbankassumesrisk

    inthestateoftheworldinwhichthecounterpartygoesbankruptandthecollateralvaluefallsshortof

    theborrowedamount.Strictlyspeaking,thecentralbankisnotassumingthetailriskbutsimply

    redistributingittoothersprimarilytothosewhoholdnominalclaims.Again,indoingso,theoverall

    riskmaybereduced.Hence,thisisredistributiononlyinarelativesense.Inanabsolutesense,itis

    possiblethatthewellbeingofalleconomicagentswillbeimproved.

    12SeealsoLeijonhufvud(2012).

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    Ofcourse,anyformofinsuranceleadstomoralhazard,asagentschangetheirexpectationsand

    behavior.Someofthechangesaredesirablebecausetheyreduceendogenousrisk.Othersareexcessive

    andhavetobeaddressedwithmacroprudentialregulation.

    PriceStickinessView:AContrast

    Beforewe

    deal

    with

    the

    moral

    hazard

    question,

    it

    is

    worth

    contrasting

    the

    financial

    friction

    view

    with

    astylizedNewKeynesianperspective.Thereareatleastthreemajordifferences.

    First,thekeyfrictionispricestickiness,notfinancialfrictions.Tosharpenthecontrast,letusfocuson

    NewKeynesianmodelsinwhichmarketsarecomplete,andhencearepresentativeagentanalysisis

    justified.Themainroleofmonetarypolicyinthesemodelsistoovercomedistortionsthatarisefrom

    thepricerigidity.Monetaryrulestrytoinfluencethebehaviorofpricesetters,whichinturninfluence

    thereactionofothereconomicagentsandtheresponseofoutputtorealshocks.Asbefore,adheringto

    policyrulesisimportanttoensurethateconomicagentscanformreliableexpectationsandtheir

    reactionmaximizesthedesiredobjective.

    Second,the

    New

    Keynesian

    paradigm

    focuses

    on

    the

    role

    of

    money

    as

    aunit

    of

    account.

    As

    a

    consequence,interestraterules,liketheTaylorRule,fullycharacterizemonetarypolicy,andmoney

    onlyplaysaroleinthebackground(seeKing(2002),Woodford(2003)).Incontrast,theItheoryandthe

    workbyKiyotakiandMoore(2008)focusonmoneyasastoreofvalue.Thelatternaturallyintegrates

    unconventionalpolicymeasuresandmacroprudentialtoolsinthemonetaryanalysis.

    Third,NewKeynesianmodelswithcompletemarketsfocusonasingleinterestrateanditsdeviation

    fromthenaturalrate.Financialfrictionsnecessitateariskcomponentandnotsimplyanintertemporal

    perspective.

    Wenowreturntothefinancialfrictionviewofmonetarypolicyanddiscussthepotentialofpolicyrules

    increatingmoralhazard.

    MoralHazard:InteractionwithMacroprudentialRegulation

    Likeanyinsurancescheme,expostredistributionalmonetarypolicycomesatagreatprice:moral

    hazard.Economicagentsmightrespondtoanticipatedconditionalredistributioninunintendedways.

    Forexample,financialintermediariesmighttakeontoomuchrisksincetheyanticipatethatanyadverse

    shockwillthenbemetwithsomeaccommodativemonetarypolicythat(implicitly)recapitalizesthem.

    Thismakesthesystemexantemoreriskyandunderminestheoverallobjective.

    Hence,exante,thecentralbankwantstocommititselftolimittheredistributiveaspectsofmonetary

    policy.Ex

    post,

    it

    would

    like

    to

    redistribute

    wealth

    to

    stimulate

    the

    economy,

    but

    this

    undermines

    the

    credibilityoftherule.Thecentralbankfacesaclassictimeinconsistencyproblem.Undercertain

    circumstances,themoralhazardproblemmaybesoseverethatthecentralbankiscorneredand

    forcedtoabandonitsrulebookaltogether.Whenthishappens,thecentralbanklosescredibility,andits

    abilitytosteertheeconomyisimpaired.

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    Thecentralbankcanbecorneredby1)fiscalauthoritiesand2)systemicallyimportanteconomic

    agents.Fiscalauthoritieswilltrytoforcethecentralbanktomonetizegovernmentdebtinorderto

    avoidpoliticallyunpopularausteritymeasures.Brinksmanshipbetweenproponentsofmonetary

    dominanceandproponentsoffiscaldominanceleadstouncertaintyintheeconomy. Theaimofany

    centralbankshouldbetomonitorthefiscalsituationinordertoavoidbattlesbetweenfiscaland

    monetaryauthorities.

    Toavoidbeingcorneredbysystemicallyimportanteconomicagents,suchaslargefinancialinstitutions,

    centralbankshavetwotypesoftoolsattheirdisposal:1)acleverdesignofexpostrecapitalizationrules

    thatreducemoralhazardproblems,and2)exantemeasuresthatleanagainstthebuildupofsystemic

    risk.

    Forexample,anexpostrecapitalizationschemethat