Munich Personal RePEc Archive
The asymmetric impact of
macroeconomic announcements on U.S.
Government bond rate level and volatility
Tuysuz, Sukriye
15 September 2007
Online at https://mpra.ub.uni-muenchen.de/5381/
MPRA Paper No. 5381, posted 19 Oct 2007 UTC
announements on U.S. Government bond rate level and
volatility
Sukriye Tuysuz
∗
BETA-THEME
61 avenue de laforêt noire
67000 Strasbourg
Abstrat
This paperinvestigates theimpatof maroeonomiand monetarynews onU.S.
Government bond ratelevel and volatility. Speially, itheksif thesenews aet
dierentlyinterestratelevelandvolatilityduring"stable"and"unstable"periods. "Un-
stable"periodsorrespondtotheperiodsmarkedbyagreatunertaintyonGovernment
bondmarket. To dothis,rst we distinguishthe "stable" and "unstable" periods by
estimating interest rate dynamis with a markov swithing ARCH proess, proposed
byHamiltonand Susmel(1994). Theresultsof thisrstestimationsuggestthatU.S.
interestratevolatilityishigherduringperiodsofnanialrises,wartimeperiodsand
duringperiodsmarkedbyeonomiorpoliyinstability. Weuse theseresults toeval-
newswithanEGARCHmodel,proposedbyNelson(1991). Theresultsshowthatnews
announementsdonothaveimportantimpatoninterestratevolatilityduring"stable"
periods. Inontrast, theystronglyaetmarketvolatilityduring "unstable" periods.
Finally,wehek whetherpositiveandnegativenews announementsinuenedier-
entlybondratevolatilityduring"unstable" periods. Theresultssuggestthatnegative
newshave important eets onthebond marketvolatility omparedto the eetsof
positivenews.
JEL Classiation: E4;E5;G1
keywords: Newsannounements,Governmentbondrate,EGARCH,ARCHMarkov
Swithing,Eonomiinstability,Monetarypoliyinstability,Finanialrisis.
1 Introdution
Interestratevolatilityhasbeomeaninreasingonerntopoliymakersandnanialmar-
ketpartiipantsalike.Inreasedmarketvolatilityisassoiatedwithhigherunertaintyabout
marketoutlooks,whihalsoaets,amongotherthings,theabilityofmarketpartiipantsto
disernthemonetarypoliystane. Longterminterestratevolatilityaetsalsotheinvest-
ment deisionsand thus overall eonomi ativity. In addition, nanial market volatility
playsanimportantroleinunderstandinghownanialinstrumentsarepried.
Severalauthorshavefousedontheroleofmaroeonominewsasasoureofnanial
marketvolatilityandpartiularlyGovernmentbond market(FlemingandRemolona,1997,
1999;Jonesetal.,1998;LiandEngle,1998;Bollerslev,CaiandSong,2000;Balduzzi,Elton
andGreen,2001;Lee,2002). Forexample,EderingtonandLee(1993),Beker,Finnertyand
Kopeky(1996)andBalduzzi,EltonandGreen(1996)doumenttheimportaneofmaroe-
onomi announements asamajor soureof Bondmarket volatility. Most ofthe existing
andvolatilityinnanialmarkets(Jonesetal.,1998;LiandEngle,1998;Christiansen,2000;
GoeijandMarquering,2006). Alltheseresearherssupposeonstantthenanialmarketre-
sponsetomaroeonomiandmonetarynews. Inontrastwiththelassialapproah,some
authorsonsiderthatthereationofinterestratelevelsandvolatilitytomaroeonomiand
monetary newsis unstable. A largepartof these authors suppose that "good"and "bad"
newshavenotthesameimpatonnanialmarketvolatility(Morgan,1993;Thoma,1994;
Karras, 1996; Li and Engle, 1998; Christiansen, 2000; Kim et al., 2004). As for Chadha
and Nolan (2001), Clare and Courtenay (2001a,b), Lee (2002) and Tuysuz (2007a, b, ),
they suppose that market interest rate reationto news depends strongly to entral bank
transpareny and redibilitydegrees. Moreover, some papersshow that during periods of
highunertaintyabouteonomisituation,marketsoperatorsanreatstronglytomaroe-
onominews(Banerjee,1992;Bikhandanietal.,1992;MQueenandRoley,1993;Fleming
andRemolona,1997;Veronesi,1999).
Thepreviousempirial work onsiders either onlythe unertaintyrelated to monetary
poliy ortoeonomi situation. Inontrast to theexisting literaturethispapertakesinto
aountbothsouresofunertaintywhihgenerateunertaintyonnanialmarket. Inad-
dition,itonsidersothersouresofmarketunertainty,suhasnanialrises. Speially,
in ontrast withtheexisting papers, thispaperinvestigateswhetherthe eetsof maroe-
onomiandmonetarynewsoninterestratelevelandvolatilityaredierentduring"stable"
and "unstable" periods. "unstable" periods orrespond to the periods marked by a great
unertaintyonGovernmentbondmarket. These "unstable" periodsorrespondnotonlyto
periodsmarkedbyeonomiandmonetaryinstabilitybutalsotoperiodsmarkedbynanial
instability. Forthe present analysis, four daily U.S. Government bond interestrate series
(3, 5,7and10 yearrate)and severalmaroeonominewsare used. Maroeonominews
poliy. Interestrate dynamisare, rst, evaluatedwith amarkov-swithingARCHmodel,
proposed by Hamilton and Susmel (1994), in order to determine "stable" and "unstable"
periods. Usingtheresultsobtainedin thisrststage,interestratedynamis areevaluated
with anEGARCHmodel, proposedby Nelson(1991). This model enablesto takeinto a-
ountthe onditional heterosedastiityeet, asymmetri eets and have theadvantage
ofnothavingtoimposepositivelyrestritionsontheoeientsintheonditionalvolatility
equation. Moreover,wetestwhethernanialoperatorsreatdierentlytopositive("good")
andnegative("bad")maroeonominews. Speially,wetestwhether"good" and"badd"
newsaetdierentlymarketvolatility.
Thepaperproeedsasfollows. Setion2presentsthefatorsthatinuenethereation
of interest ratelevel and volatility to maroeonomiand monetary news. Setion 3gives
informationonthedatausedfortheanalysis. AfterpresentingindetailtheARCHmarkov-
swithingmodel,setion4disussestheresultsobtained. Setion5usestheresultsofsetion
4toevaluateinterestratelevelandvolatilityresponsetomaroeonomiandmonetarynews
usinganEGARCHmodel. Setion6analyzestheresults,andnally,setion7onludes.
2 Heterogeneity of interest rate response to eonomi
news
The literature on herd behavior and informational asades (Banerjee 1992, Bikhandani
and al. 1992)emphasises that what drives nanial market outomes is not so muh the
ourrene of news per se, but how this new information is proessed and interpreted by
marketpartiipants. Thesamenewsanhaveavastlydierenteetonmarketsdepending
on theonditionsof markets andmarket partiipants. Market unertainty anbe implied
2.1 The importane of the entral bank transpareny and redibil-
ity
Awidelyresearhedareaistheeetofannounements,andinpartiularofnewsonentral
bank target variables and of monetary poliy rate hanges, on the yield urve. Several
authors argue that theimpat of newsrelated to entral bank target variables oninterest
rate depends strongly on the redibility and transpareny of entral bank (Haldane and
Read,1999, 2000; Ellingsenand Söderström,2001; Chadhaand Nolan,2001; Gravelleand
Moessner,2001; Parent, 2003; Connolly and Kohler,2004; Tuysuz, 2007b,). If a entral
bank is fully transparentand redible, newson entral bank target variables should alone
suetoantiipatefuturehanges inmonetaryrate. Inthissituation,marketinterestrate
level should only reat to entral bank target variables news. As market operators an
auratlyantiipateentralbankratedeisions,thediusionofthesedeisionsonveysany
informationtomarketpartiipants.Thus,thediusionofthesedeisionsshouldnotinuene
interestrate leveland volatility. In ontrast,ifaentralbank isnotfully transparentand
redible then announements on entral bank target variables inuene interest rate level
andvolatility. Inaddition,inthelastsituationmarketoperatorsannotantiipateorretly
entralbankratehangesdeisions. Thus,theunexpetedpartofentralbankratehanges
inuenes interestrate level and volatility. In sum, the reationof interest rate level and
volatilitytomaroeonomiandmonetarynewsandtounexpetedentralbankratehanges
stronglydependsonthetransparenyandredibilityofentralbank. Consequentlyagreater
transpareny and/orredibility should aet interest rate response to entral bank target
variablesnewsandtounexpetedhangesinpoliyrate(SellonandWeiner,1996;Mullerand
Tuysuz,2007b,).
Furthermore,DemiralpandJorda(2002)andTuysuz(2007a)arguethatunertaintyre-
latedtomonetarypoliyismoregreateraroundtheturningpointofmonetarypoliystane.
Forexample,aordingtoDemiralpandJorda(2002),whenmarketpartiipanthavenoidea
aboutthe nature onthemonetarypoliy stanearoundtheturning point, announements
tendtohavethelargesteetonmoneymarkets. Theauthorsprovideevidenethatmarket
response to monetarypoliy deisionsis markedlystrongerwhen these deisionsintrodue
a diretional hange in monetary poliy. Tuysuz (2007a) onrms a similar result on the
volatilityofinterestrateforUS,UK,GermainandFrenhdata. Preisely,theauthorshows
that interestratevolatilityisgreaterduringperiodsmarkedbyhigh unertaintyaboutthe
future deisions of the entral bank. These periods often orrespond to the period when
entral bankhangethediretionofhismonetarypoliy.
2.2 The role of the eonomi situation
Marketresponse tomaroeonominewsreleases stronglydepends uponthemomentum of
thebusinessyle(MQueenandRoley,1993;GariaandShaller,1995;Weise,Flemingand
Remolona,1997;1999;Veronesi,1999;Balduzzi etal., 2001;Andersenetal., 2004;Veredas,
2005). For instane, by ontrollingthe eonomi yle 1
, Fleming and Remolona nd that
durable goods orders,GDP, housingstarts andunemploymentannounementshad amore
signiant impat upon Government bond priesand trading volumes one the eonomi
yle had been aountedfor. In a similar vein, Veredas nd that bad news do nothave
the same impat on the bonds pries during expansion and reession periods. Contrary
1
Flemingand Remolona(1997)ontrolledfor theeonomiylebyusingeitherameasure ofimplied
volatility,ortheexpetedhangeintheFEDfundsrateasaproxyformarketonditions.
inuene the reationbond and exhange markets to real-time U.S. maroeonominews.
However,theauthorsndthatequitymarketsreatdierentlytothesamemaroeonomi
newsdependingonthestateoftheeonomy,withbadnewshavingapositiveimpatduring
expansions and havingnegative impat during reessions. Similarly, MQueen and Roley
ndthatbylassifyingeonomiativityasbeingeither"high","medium"or"low"relative
to trend,it waseasiertoidentify reations totheU.S.stokmarket toUS maroeonomi
announements. Finally,Veronesishowtheoretiallythatwheninvestorsassignhighproba-
bilitytothegoodstateofeonomythentheprieredutionduetobadnewsisgreaterthat
theredutioninexpetedfuturedividends. Similarly,wheninvestorsassignhighprobability
tothebadstateofeonomythentheinreaseintheprie,impliedbyagoodnews,islower
that theinreaseinexpetedfuturedividends.
Onthevolatilitylevel,ChadhaandNolan(2001)showthatEnglishinterestratevolatility
seemstobelowestduringthelate1980sboominU.K.eonomy. Inotherworld,theauthors
suggestthatinterestratevolatilityishigherduringreession. Thisoinidenesuggeststhat
highervolatilityanbeexplainedbyunertaintyabouteonomisituation. Inthesameway,
Tuysuz (2007a) shows that interest rates are more volatile around business yle turning
points. Moregenerally,investorstendtobemoreunertainaboutthefuturegrowthrateof
the eonomy during reessions 2
therebythese behaviorsanpartlyjustify highervolatility
of nanial market. Contrary to nanial seurities pries levels, few authors analyzethe
eets ofnewsonmarketvolatilitybydistinguishingeonomystate.
2
AuthorsasVeronesi(1999)showsthateonomists'foreastsaboutfuturerealoutputaremoredispersed
whentheeonomyisontrating.
Inthe literature,generallyauthors analyzediretly thedynami of seuritieswithout on-
sidering maroeonomiand monetary news (Edwards, 1998, 2000; Park and Song, 1999;
Edwards and Susmel, 2000; Bekaert et al., 2002; Baur, 2003; Alper and Yilmaz, 2004;
Fernandez-IzquierdoandLafuente,2004; Honet al.,2005;Tuysuz,2007a). All theauthors
ndthat during nanialrisesperiods nanialoperatorsunertaintyareveryhigherand
marketsvolatilityare alsoveryimportant. A largepartof thisvolatilityanbeexplained
by unertainty aboutnanial market evolutionand then bynanial transation. By in-
uening nanial markets, nanial rises aet also domesti and foreign eonomi and
monetarysituation. Theeetsoneonomiativityrestsmainly ontheeetsofnanial
rises onexhangemarketand thenontrade. Inaddition,variationsofGovernmentbonds
pries(rates)inueneinvestmenthoieandtherebyeonomiativity. Havingonsiene
oftheseeets,themarketoperatorsrevisetheirexpetationsaboutfutureevolutionofthe
eonomiativityandaboutthefutureondutofmonetarypoliy. However,duringperiods
ofnanialrisestheserevisionsanbeveryheterogeneousandpartiularlyifentralbankis
notfullytransparentand/orredible. Thus,duringnanialrisesthegreatunertaintyon
nanialmarketand thesuddenand importantrevisionsofagents'expetations anaet
the inuene of maroeonomiand monetary newson seuritydynamis. This hange of
theeetsdependsontheeonomisituation before therisisandonthetransparenyand
redibilityofentralbank.
3 Data Desription and Preliminary Tests
Thissetionpresentsthedatasetanditsstatistialproperties. Theempirialpartusesdata
series on interest rates, maroeonomi announements and unexpeted variations of key
3.1 Interest rate series
Governmentbond rateorrespondingto maturitiesof respetively
3
,5
,7
and10
yearsareonsidered in this study. These series overthe period rangingfrom therst ofJuly
1990
toJuly,
30 th
,2004
. Thisdataorrespondstothequotesatloaltimemarketlosure: 17:30EasternStandardTime(EST).
In order to determine the order of integration of these series we arry out a series of
unit-root tests. Three dierentkinds ofunit-root tests are performed: thestandard ADF
test, theZivot and Andrews (1992)test and nally the Seo (1999)test. Aordingto the
resultsoftheADFtest,displayedintable7,weannotrejetthenullhypothesisofunitroot
foranyofthefourseries. TheseresultsareonrmedfortheZivotandAndrewstestaswell
astheSeotest. TheSeostatistiallowstoaountforstruturalhangesintheserieswhile
the former aounts forthe presene of onditional heteroskedastiity. Indeed,using Box-
Piere, Ljung-BoxandLM statistis(see Table8), thenullhypothesisof homoskedastiity
isrejetedatthe
5%
levelforallassetsonsideredinourstudy. Thus,allinterestrateseriespresent a unit root and interest rates dierentials will be used in the empirial analysis.
Theseinterestrateseriesarealsoonditionallyheterosedasti.
3.2 Announements and surprises
Aording to Balduzzi et al. (1997), it is notthe announement per se that is important,
but rathertheinformationitonveystothemarketpartiipants. Indeed,ifannounements
onlyomfortagentsintheirexpetationstheywillnotindueanybehavioralhanges. Sine
the aim of this paper is to study the eet of announementson thedynamis of interest
rates, series that reet unantiipated variations forthe relevant series areneeded. These
thevaluesthatwereantiipated. Asantiipationsannotbeobserveddiretlysomeapprox-
imation areneeded. Asolution suggestsby Balduzzi et al.(1999)is to hoose thesurveys
published byMoney Market Servie (MMS) for US maroeonomi announements. This
organizationolletseveryFridayforeastsfrom apanelofmarketpartiipantsfor thefol-
lowingweekannounements. Medianvaluesforeahvariablewereomputed. Thosevalues
wereretainedasproxiesofmarket partiipantexpetations.
Inmoredetail,these variablesorrespondtopossibletargetsforentral banks. That is,
primarily,newsonerningtheinationrateandtheglobalhealthoftheeonomiesonsid-
ered. The onsidered announements onern unemployment(UE), onsumer prie index
(CPI), prodution prie index (PPI), gross domesti produt (GDP), balane of payment
(BP) andretailsales(RET).These variablesareannounedaround9:00a.m. .
Twomethodshavebeenusedintheliteraturefortheomputationoftheunexpetedpart
of monetarypoliy deisions. The rstmethod usessurveysformaroeonomiannoune-
mentsaspreviouslydisussed. Thealternativeapproximatesentralbankdeisionsthrough
arefully hosen asset quotations. More preisely, the methodology proposed by Kuttner
(2001)suggeststhat FED future fund priesonstituteasuitableproxyfor FED expeted
ations. Thislattersolutionispreferabletothe surveyssine,aspointedbyEhrmannand
Fratzher (2003), (2005a), the weekly frequeny of surveys prevents from taking into a-
ount most reent expetations. On the other hand, asset pries used in this study are
those from the day preeding entral bank deisions. Pries of future ontrats on FED
funds are areasonablehoie astheymeet therequirementsput forwardbyBrookeet al.
(2000), namely (i) its maturity is lose to that of the key interest rate, (ii) it is a liquid
assetand (iii) itsmaturityis shorterthanthe timeintervalbetweenFederal Open Market
Committee (FOMC)meetings. Moreover,asshown byKruegerandKuttner (1996),future
areunorrelatedwiththeothervariablesobservedattheontrat'spriingtime. Following
Kuttner's methodology,weextrattheunexpetedpartof monetaryauthorities'deisions,
onsideringthatthisunexpetedomponentisreetedbythedierenebetweenthefuture
priesontheannounementdayandthedaybefore. Morepreisely,therelationshipbetween
theforeasterror
(∆r ∗ t ,na )
andthefuture ontratratesanbewrittenasfollows:∆r ∗ t ,na = T
T − τ (f t − f t − 1 ),
(1)where
f
denotes interestrateonthefutureontrat,T
isthenumberofdaysinthemonthunder onsiderationand
τ
isthedayofthemonth.4 Evaluation of the "stable" and "unstable" periods
OneofthemostinterestingaspetsofGovernmentbondratevariationisthatthosevariations
hanges widely aross time. More preisely, gures 5 through 8, in appendix, show that
duringsomeperiodsinterestratevariationsareveryhighandlowduringanotherperiods. In
addition,theseinterestratevariationstendtobepersistentgivingrisetothewelldoumented
volatilitylusteringand"GARCH-type" behaviorofreturn 3
. Inorderto takeinto aount
theheterosedastiityeet andthehangeofinterestratevolatilitydynami, interestrate
dynamis areevaluated witha markov-swithingARCH model proposed byHamilton and
Susmel (1994). This model enables to determine the periods of "high" (resp. "slow")
interestratevolatilityandthenperiodsmarkedbygreatunertaintyonbondmarket. After
presentingthemarkov-swithingARCHmodel,wewill presentanddisuss theresultsand
thendeterminethesouresofunertaintywhihgenerateunertaintyonGovernmentbond
market.
3
SeeBollerslevetal.(1992)foranexellentsurveyoftheliterature.
Hamilton andSusmel(1994)modifytheARCH proessesproposed byEngle(1982)to a-
ount for several strutural hanges in data and propose a Swithing ARCH (SWARCH)
model. TheAR-SWARCHmodelanbewrittenasfollows:
∆r t = a + b∆r t − 1 + ǫ t ,
(2)ǫ t = √ g s t .u t , u t = p
h t .v t , h t = w +
X J
j=1
α j u 2 t − j j = 1, 2, ..., J s t = 1, 2, ..., K.
Where
∆r t
representstherst-dierenedinterestrate. Theinnovationsǫ t
areomposedbytwoelements,whihare
g s t
andu t
.u t
isalsoomposed bytwoomponents:h t
andv t
.Theonditionalvolatility,
h t
, issupposed drivebyaARCH modelwithj
order. Theinno-vations
v t
followaGaussianorStudentt
distribution. Asforg s t
,theyaresaleparametersthat apturethehangeinregime. Oneofthe
g
'sisunidentiedand, hene,g 1
isset equalto 1. Thus,
g s 2
is supposedg s 2 > g s 1
.s t
denotesanunobservedrandomvariable thatanvalues1,2,...,kandisassumedtobegovernedbyarstorderMarkovhain withtransition
probability,
p i,j
. Forexample,k = 2
,p i,j
, thetransition probability from statei
, at timet − 1
to statej
at timet
isdenedas:p(s t = 1 | s t − 1 = 1) = p 11 ,
p(s t = 2 | s t − 1 = 1) = p 12 ,
p(s t = 1 | s t − 1 = 2) = p 21 ,
p(s t = 2 | s t − 1 = 2) = p 22 ,
with
p 11 + p 12 = p 21 + p 22 = 1
.Underthisspeiation,thetransitionprobabilities,the
p ij
's,areonstant. Forexample,ifinterestratewasinahighvolatilitystatelastperiod(
s t − 1 = 2
),theprobabilityofhanging tothelowvolatilitystate(s t = 1
)isaxedonstantp 21
.AsabyprodutoftheMaximumlikelihoodestimation, itispossibletomakeinferenes
about partiular state of the seurity at any date. For this the "lter probabilities" or
the"smoothprobabilities" anbeused. The"lter probabilities",
p(s t , s t − 1 | r t , r t − 1 , ..., r 1
,denote theonditional probability thatthe stateatdate tis
s t
and that atdatet − 1
wass t − 1
. Theseprobabilitiesareonditionalonthevaluesoftheobservedinterestratethrough date t. As for"smoothprobabilities",p(s t | r T , r T − 1 , ..., r 1
, areinferenesaboutthestateatdatetbasedondataavailablethroughsomefuturedate T(endofsample).
Giventheunit-roottestinsetion2,rst-dierenedinterestratedynamisareevaluated
with the model desribed in equation 2. The evaluated "smooth probabilities" that the
volatilityisintheseondstate(highvolatilitystate)areillustratedbythegures1through
4. Asummaryofourndingsontheextentandthedurationof"high" interestratevolatility
during theperiodonsideredisgiveninthetable1.
[InsertTable1here℄
[InsertFigure1here℄
[InsertFigure2here℄
[InsertFigure3here℄
[InsertFigure4here℄
The omparison of the periods of "high" volatility (see table 1) with the monetary and
nanial situation aswell astheeonomi and politial environment,we notie that these
periodsof"high"volatilityoinidewiththeperiodsmarkedbyunertaintyontheeonomi
and/ormonetaryand/ornanialinstability.
The1990swasmarkedbyseveralnanialrisessuhastheSMErisis(September1992
and August 1993), theU.S. Governmentbond market risis (January1994), the Mexian
risis(Deember1994), theAsian risis(July 1997),theRussian risis(August 1998),the
Bresilianrisis(February1999),theArgentinerisis(November2001)andtheburstingofthe
tehnologyandinternetbubblein 2002inUSA.Figures 1through4andtable 1showthat
interestratevolatilitywasinthe"high"stateduringperiodsorrespondingtothoseperiods
overingtherst SME risis, theU.S. Government bond market risis, theRussian risis,
theArgentinarisisandtheburstingofthetehnologyandinternetbubblein2002. These
oinidenessuggestthat theinreasein interestratevolatilityduringthese periodsanbe
explainedbyunertaintyimpliedbytheserises. Inaddition,aordingtotheseresultsthere
wasafairly rapidtransmission of respetively British, Mexian, Asian, Russian, Bresilian
andArgentinenanialinstabilitytoU.S.nanialmarket.
Asgures1thought4showU.S.interestratevolatilityshiftstothe"high" stateinlate
September2001. ThisdateorrespondstotheattakinUSAonSeptember11th2001. This
eventaroseunertaintyonnanial markets in variousountries andin partiular onU.S.
markets. Figures1through4andtable 1suggestthatU.S. interestratevolatilitywereon
"high"statealsoduringtheGulfWarwhihbeganonAugust2,1990. TheinvasionofKuwait
by the Iraquian army provoked important reation of all UN members and in partiular
USA.Thisreationandtheinreaseofoilprieshaveontributedtotheunertaintyinthe
beginningfrom September1990. Thisdateoinides withthedate whenU.S.interestrate
volatilityshiftsto"low" state(seegures1through4andtable1). Thisoinidenesuggests
that thehigh interestrate volatilityobservedbetweenAugustand September1990 anbe
explainedbytheunertaintyimpliedbytheGulfwarandtheinreaseoftheoilprie. The
stabilityontheoilmarketandtherelativelypeaefulperiodlastedonlyuntilJanuary1991.
The internationalinterventionin January1991 leadto thewithdrawalof Iraqifores from
Kuwaitwhihresultedinanimportantinreaseinoilpriesduringthisperiod. Theseevents
generatedunertaintyonthenanialmarket. Ourresultssuggestthatthisunertaintywas
lessimportantthantheunertaintyobservedduringtheAugustandSeptember1990. Indeed,
onlythe10yearinterestratevolatilitywason"high" stateduringJanuary1991.
Inaddition, during periods marked by eonomi and monetary poliy unertaintyU.S
interest rate volatility in all series was on the "high" state (see gures 1 through 4 and
table 1). These periods overtherst quarterof 1992, the period from Februaryto Mars
1993,theseondandthird quarterof1995,theperiodbetweenFebruaryandAugust1996,
rst half of 1999 aswell asthe rst and seond quarter of 2000. All of these periods are
markedwithunertaintyaboutthefuturedeisionsoftheentralbank. Forinstane,during
therstandtheseondquarterof1995,eonomiandnanialagentsestimated thatU.S.
eonomy was going through a reession. Hene, they antiipated a hange of the FED
poliy. Contrarytotheexpetations,FEDdidnothangeitsrateduringthisperiodwhih,
in turn, induedunertaintyonthe nanialmarket,partiularly in theseond quarter of
1995. The FED deided to derease its rate only in July 1995. This deision eliminated
theunertaintyaboutthemonetarypoliy. Inontrastwiththeprevioussituation,in1996
theunertaintywasabouttheinationrateandtheFEDdeisions. Morepreisely,during
therstquarterof1996,theobservedU.S.eonomigrowthwasgreaterthantheexpeted
nanial agentsantiipated an ination risk hene ahange in the Fed's monetary poliy
orientation. However,fromJanuarytosummer1996,FEDdidnothangeitsrate. Thefat
that theexpetations ofaninreaseinFED's rateisnotfullledleadtohigherunertainty
on nanial market. This situation persisted until summer 1996, theperiod during whih
theGovernoroftheFEDarmedhisonvitionabouttheabseneofeonomioverheating
in theUnited States. Inaddition, AlanGreenspan delared thatthe evolutionof priesin
USAwasperfetlyontrolledandthatinaseofaninationrisktheFOMCwouldintervene
quikly. Theseremarkshelpedredue unertaintyaboutU.S.inationandmonetarypoliy
deisions. Insum,inationaryriskandtheunertaintyabouttheFED'sfuturedeisionare
themainfatorswhihanexplaintheriseofU.S.interestratevolatility,observedingures
1through4,betweenFebruarytoSeptember1996.
Finally, interestratewasrelativelyhighduring periods markednotonlyby unertainty
about the eonomi, monetary and nanial situation but also by instability on the ex-
hange ratemarket. For instane, during the rst half of 2001 the dollarappreiated too
muhagainsttheeuro andtheyen. This eventaeted negativelytheU.S.eonomiom-
petitiveness. Inaddition,thestrongvariationsoftheexhangeratesinueneddiretlythe
portfolio returns and hene reated unertainty on nanial markets. The instability on
exhange ratemarket fell stronglyon April2001. This fallredued therisk relatedto the
U.S. eonomy and the unertainty on nanial markets. In sum, the strong appreiation
of the dollar againstthe main urrenies and the greater instability on the exhange rate
marketanexplainunertaintyonnanialmarketandthegreatervolatilityoftheinterest
rateduringthersthalfof2001,observedinthegures1through4.
ble" and "unstable" periods.
In this setion, we will hek whether interest rate level and volatility respond dierently
tomaroeonomiandmonetarynewsduring"stable" and"unstable" periods. Forthis,an
AR-EGARCHmodel, proposedbyNelson(1991),isused.
5.1 Model
Giventheunit-root testin setion 2,therst-dierenedinterestrate responseto maroe-
onomiandmonetarynewsismodeledasfollows:
∆R t = a + b∆R t − 1 + c∆r ∗ t + X K
k=1
d k D k,t a
+ c 1 ∆r ∗ t ∗ Dum R + X K
k=1
d k,1 D a k,t ∗ Dum R + ǫ t ,
(3)where
R t
denotes interestratedierentialsin periodt
.∆r τ ∗
andD k,t a , k = 1, . . . , K
, orre-spondrespetivelyto theunexpetedpartofthemonetarypoliy ratehangesandasetof
maroeonominews.
c
andd k
measuretheeetsofthosenewsoninterestratelevelduring"stable" periods. During"unstable" periods,theseeetsaremeasuredby
c 1
andd k,1
. Thedummy variable (
Dum R
) takethevalue 1during "unstable" periods and 0otherwise. As maroeonominews areannouned around9:00 a.m. and monetary poliy rate deisionsarediusedaround2:30p.m.,Governmentbondratesinperiod
t
respondtomaroeonominewsandmonetarypoliy deisionsimmediatelyonthedayofannounements(period
t
).Theterm
ǫ t
orrespondstotheinnovationseries. Severalauthors estimateequation(3)supposing that the innovations are a Gaussian white noise (Balduzzi et al., 1999; Bern-
hardsen,2000; EllingsenandSöderström,2001;Favero,2001;Kearney,2001;Caporaleand
appliedtohekwhethertheinnovations
ǫ t
areonditionallyhomosedasti.Table9,inthe Appendix, enablestorejet thenullhypothesisand thenaeptthehypothesisthat thein-terestratesvolatilityisonditionallyheterosedasti. SineBollerslevproposedtheGARCH
modelsin 1986,numerous authorsused suh model totakeinto aountthepersistenein
onditional varianesof nanialmarket. In aGARCH model, an unantiipateddrop and
an unantiipated rise in the same magnitude in an interest rate are assumed to generate
thesameimpaton itsfuture volatility. However,authors likeKimand Sheen(2000),Lee
(2002) andEhrmann and Fratzsher(2002, 2003, 2005)), argue that thesize and thesign
oftheshoksinuenedierentlythefuture nanialmarketvolatility. Ontheotherhand,
DeGoijandMarquering(2006)ndthatasymmetrivolatilityintheTreasurybondmarket
an largely be explained by maroeonomi announement news. This suggests that the
asymmetri volatilitynd in governmentbond markets is likely due to misspeiation of
thevolatilitymodel. Indeed,afterhavinginludedmaroeonomiannounementsintotheir
model,theynotiethattheasymmetrydisappears. Inordertotakeintoaounttheondi-
tional heterosedastiy eet andto hektheasymmetri eet,the exponential GARCH
(EGARCH)approahofNelson(1991)wasappliedtoestimatetheeetofmaroeonomi
andmonetarynewsontheonditionalvarianesoftheinterestrates. Oneoftheadvantages
oftheEGARCHmodelisthenonimposition ofpositivelyrestritionsontheoeientsin
theonditionalvarianeequation. This modelanbeexpressedas:
ln(h t ) = w + α ǫ t − 1
p h t − 1
+ βln(h t − 1 ) + θ( | ǫ t − 1
p h t − 1
| − p 2/π)
+ γDum r ∗ τ + X K
k=1
ϕ k Dum a k,t
+ γ 1 Dum r τ ∗ ∗ Dum R + X K
k=1
ϕ k,1 Dum a k,t ∗ Dum R .
(4)Theterm
α
reetsdierentimpatsofpositiveandnegativeinnovationsononditional varianes. Apositive(resp. negative)α
estimateimpliesthatapositiveinnovationinreasesvolatilitymore(resp. less)thananegative(resp. positive)innovationofanequalmagnitude.
Theterm
θ
determinesthesizeeet. Asinthemeanequation(3),wetakeintoaounttheinuene ofmaroeonomiand poliy variables. Contraryto thelevelequation, dummies
areusedinsteadofatualnewsinordertoavoidmultiollinearitywiththeonditionalmean
regressors.
Assumingthat
c 1 = d k,1 = γ 1 = ϕ k,1 = 0
,k = K
givesthelassialbenhmarkmodel.In this lassial model, interest rate level and volatility response to maroeonomi and
monetary newsisonstantoverthe whole sampleretained in thepaper. Inorder to hek
ifthis responseis dierentbetween"stable" and "unstable" periods interestratedynamis
areevaluatedwiththemodeldesribedbytheequations3and4.
5.2 Empirial results
Aording to table 3, U.S.interestrates are mainly sensitiveto theonsumer prie index
(
CP I
) news andto the unexpeted part of theFED deisions(d CP I
andc
). These newshaveapositiveimpaton Governmentbondsrates. This isin aordanewith theoretial
expetanies. Indeed, theonsumerprieindex an serveasaproxyfortheination level.
Thus,apositivesurpriseorrespondstoanunderestimationoftheinationlevelandmarket
investorswillrevisetheirexpetationsaboutFED'smonetarypoliy. AsforFEDdeisions,
our results show that an inrease in unexpeted entral bank rate hanges evokesan im-
mediate inrease in market interest rates and vie versa. This positive eet has already
beenshown by empirialstudiessuhasCookand Hahn(1989),Kuttner (2001),Kim and
Sheen (2000)orLee (2002). Cook and Hahn are therst to establishapositiveempirial
supporttheexpetations theoryofthetermstruture .
Conerning the asymmetri response of interest rate, interest rates volatility respond
dierentlyto newsduring "stable" and"unstable" periods. Speially, table 4showsthat
during"normal"("stable")periodsmaroeonomiandmonetarynewsannounementshave
nearly no inuene on interest rates volatility. Note that only the balane of payment
announementdaysinueneGovernmentbondratevolatility(
γ bp
). Ontheontrary,during"unstable" periodstheeetsofthesenewsannounementsonvolatilityisquiteimportant.
Indeed, during "unstable" periods bond rate volatility augment the day FED deisions,
unemployment rate, grossdomesti produt and balane of payment news are announed
(
γ r ∗ ,1
,γ U E,1
,γ bp,1
andγ gdp,1
). Inontrast,regardingthelevel,theresultsshowthatinterestratelevelresponsetomaroeonomiandmonetarynewsdoesnotdiersigniantlyaross
"stable" and"unstable" periods.
[InsertTable2here℄
[InsertTable3here℄
[InsertTable4here℄
Thefat that newsannounementshave littleimpat oninterest rate volatilityduring
thestable" periodsanbeexplainedmainlybytwofators. First,whenentralbankisfully
transparent and redible maroeonomi and monetary news announements do not gen-
erateunertaintyonnanialmarketand henedonotinuene interestratevolatility, as
pointedoutbyChadhaandNolan(2001),ClareandCourtenay(2001a,b)andTuysuz(2006,
2007a,b,). Followingtheirapproah,ourresultssuggestthatFEDis fullytransparentand
4
Theexpetationstheorysaysthatalongterminterestrateshouldbeequaltotheaverageoftheshort
terminterestratesover thesameperiodoftimeplusatermpremium;thus,aninreaseintherstouple
ofshortrateshoulddriveupthelongrateinalesserextent.
degreeofFEDinreasessine1994. Indeed,beginningthisdatetheU.S.FederalReservehas
startedtopublilyannouneFOMCpoliyhanges. Inasimilarvein,after1999,pressstate-
mentsannouningpoliydeisionsoergreaterdetailonallpoliydeisions,andourafter
everymeeting. Inaddition,sineMay1999thepoliybiashasbeenannounedimmediately
after eah FOMCmeeting makingitaneetiveforward-lookingsignal. InFebruary2000,
Fed moved away from the poliy bias terminology and instead inserted aformulai "bal-
ane of risks" sentene in order to larify its asymmetri diretives regarding inationary
pressuresand eonomiweaknesses. Finally,in Marh2002, theFOMCstarted to publish
a roll all of the votes on the Federal Funds target, inluding the preferred poliy hoie
of anydissenters. Evenall thesetransparenymeasures donotinduefull transparenyof
FED. Indeed, Diner and Eihengreen (2007) nd that in 2005 FED transparenydegree
wasabout61%.
Theseond explanationrestsonthespeedofassimilationof thenewsbynanialmar-
ket and then by interest ratedynami. Several authors nda signiant inreasein bond
volatilityas soonasthenewsarereleased(Ederington andLee,1993; CrainandLee,1995;
Andersenand Bollerslev,1997; FlemingandRemolona,1997;Jonesetal., 1998). However,
thisinreasedoesnotpersist,asthenewsareimmediatelyinorporatedinthepries. Forin-
stane,DeGoeijandMarquering(2006)ndthatbondmarketinorporatestheimpliations
of maroeonomiannounementnews faster than any other information. As for Fleming
and Remolona (1997),theynd that U.S. Governmentbond ratevolatility risesharply as
soonasU.S.maroeonominewsarereleasedandremain relativelyatfortherestofthe
day. Preisely,these authors notiethat U.S.interestratevolatilityrisearound8.30(time
whenertainU.S.maroeonominewsarereleased)andremainatafterward. Theresults
obtained by Ederington and Lee and Fleming and Remolona indiate that most of bond
The third observation onerns interest rate volatility. Table 4 showsthat both mag-
nitude (or size) and signeets ofthe onditional (or standardized)shokson onditional
varianearesigniant. Namely,thesizeeetsonintermediate-terminterestratevolatility
are signiant (
θ
). Asfor the signeets, our resultssuggestthat medium and longterminterestratevolatilityreatdierentlytopositiveandnegativestandardizedshoks(
α
). Theeet oftheabsolutevalueofthestandardizedshoksoninterestratevolatilityispositive.
Inontrast,interestratevolatilityreatpositively(negatively) to negative(positive) stan-
dardizedshoks. Thesign ofthese size andsign eets oninterestrate volatilityis in line
withtheoretialexpetanieswhereastheyontradittheresultsofDeGoeijandMarquer-
ing(2006). Theseauthorsnotethatasymmetri volatilityin theTreasurybondmarketan
belargelyexplainedbymaroeonomiannounementshoks.
Finally,resultsobtainedfromthebenhmarkmodel(seetable2)tothemodeldesribed
in equations3and4(seetables 3and 4)are ompared. Aordingto table2,interestrate
volatilityisinuenedbytheannounementsofunemployment,onsumerprieindex,gross
domestiprodutandretailsalesaswellasFEDdeisionsnews(
γ r ∗
,γ U E
,γ CP I
,γ GDP
andγ RET
). However,when we distinguishbetween "stable" and "unstable" periods, itan be seen that these news announement days have an impat on bond market volatility onlyduring "unstable" periods(seetable 4).
6 Do positive and negative news aet interest rate dif-
ferently?
Severalauthorsndthatpositiveandnegativenewsdonothavethesameimpatonthe-
nanialmarket(Morgan,1993;Thoma,1994;Karras,1996;LiandEngle,1998;Christiansen,
market for Treasury bond volatility while negative shoks inrease it. In ontrast, Chris-
tiansennd nodierene betweenpositiveand negativeannounementsshoksoninterest
ratevolatility. AsforClareandJohnson()?,theyndthat"good" newshasagreaterimpat
onthedeviationofshort terminterestratethan"bad" news. Existingstudiessupposethat
"bad" and"good" newshavethe sameeet onseurities market during thewhole period
retained. Contraryto these studies,this setioninvestigateswhether positiveandnegative
news havethe same eet on Governmentbond during "unstable" periods. Theprevious
setionshowedthat newsannounementdaysinuenedmainlyinterestratevolatilityonly
during "unstable" periods withoutany signianteet during "stable" periods. A seond
resultwasthat interestrateslevelresponsetomaroeonomiandmonetarynewsdoesnot
hange aross"stable" and"unstable" periods. Using these results, wetest in this setion
whether positiveand negativenews announementshavethe sameimpaton interestrate
volatilityduring "unstable" periods.
6.1 Model
In order to hek whether positiveand negativenews announementsaet dierently in-
terestratevolatility, wemodeltherst-dierened interestratewithanAR-EGARCHap-
proah,proposed byNelson(1991). Themodelanbedesribedasfollows:
∆R t = a + b∆R t − 1 + c∆r t ∗ + X K
k=1
d k D a k,t + ǫ t .
(5)ln(h t ) = w + α ǫ t − 1
p h t − 1
+ βln(h t − 1 ) + θ( | ǫ t − 1
p h t − 1
| − p 2/π)
+ γ 1 ∆r τ ∗ + ∗ Dum R + X K
k=1
ϕ k,1 D a+ k,t ∗ Dum R
+ γ 2 ∆r τ ∗− ∗ Dum R + X K
k=1
ϕ k,2 D a k,t − ∗ Dum R .
(6)Inontrastto themodeldesribedbytheequations3and4,in thismodelpositiveand
negativemaroeonomiandmonetarynews(
∆r ∗ τ +
,D a+ k,t
,∆r ∗− τ
andD a k,t −
)anaetinterestratevolatilitydierentlyduring"unstable" periods(
Dum R
).Assumingthat
ϕ k,2 = γ 2 = 0
givesthemodeldesribedbyequations3and4.6.2 Empirial results
Weestimateinterestratedynamiswiththemodeldesribedbytheequations5and6. The
resultsaregivenintables 5and6. Inline withourpreviousresults,U.S.interestratelevel
responds mainly to the unantiipated partof the FED rate hanges and to theonsumer
prie index news (
c
andd CP I
). Similarly, during "unstable" periods U.S. bond market volatilityismainlyaetedbyFEDdeisionsdiusiondaysandbytheannounementdaysofunemploymentandgrossdomestiprodut(
γ r ∗
,γ U E
andγ GDP
). Furthermore,negative newsannounementdaysaetdierentlyinterestratevolatilityomparedtopositivenewsannounement days. Negative news announements amplify interest rate volatility more
then positive newsannounements. Forinstane, thesize of thenegative (resp. positive)
unemploymentnewsannounementdaysonthe10yearsbondratevolatilityis4.187(resp.
2.504) (
γ U E,1
andγ U E,2
). Thisresultis in aordanewithourexpetations and withthe results obtainedby Morgan (1993),Thoma (1994), Karras(1996) and Kim et al. (2004).Indeed,negativenewsmeansthatagentshaveunder-antiipatedthemaroeonomirelease.
announedvalue.
[InsertTable5here℄
[InsertTable6here℄
Conlusion
Inthispaper,weinvestigatewhetherU.S.interestratelevelandvolatilityreatsdierently
tomaroeonomiandmonetarynewsduring"stable" and"unstable" periods. Forthis,we
determine, rst, the"stable" and "unstable" periods by evaluating interest rate dynamis
with anARCH markovswithing modelproposed by HamiltonandSusmel(1994). Inthis
rst step, wend that U.S. interestrate volatility wason the"high" stateduring periods
ofnanialrises, theperiodsmarkedbyeonomiand monetaryinstabilityaswellaswar
timeperiods. Then,weassumethatinterestratelevelandvolatilityresponsetonewsduring
"stable" periodsand"unstable" periodsmaydier. Inthisseondstep,wemodeliseinterest
ratedynamiswithanEGARH(1,1)modelproposedbyNelson(1991). Theresultsobtained
in this seond stage showthat U.S nanialmarket volatility doesnot reatto maroeo-
nomi and monetary newsannounement days during "stable" periods. In ontrast, these
daysinuene signiantlyinterestrate volatility during "unstable" periods. Whenwedo
notmakethisdistintion between"stable" and "unstable" periodsand onsider alassial
approahweseethat U.S.interestratevolatilityreatsto announementdays. Finally,we
hekwhether"positive"and"negative"newsaetdierentlyinterestratevolatility. The
resultsobtainedsuggestthatthe eetof negativemaroeonomiandmonetarynewsan-
nounementdaysontheU.S.bondratevolatilityishigherthanpositivenewsannounement
[InsertTable7here℄
[InsertTable8here℄
[InsertTable9here℄
[InsertFigure5here℄
[InsertFigure6here℄
[InsertFigure7here℄
[InsertFigure8here℄
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andunit-roothypothesis',JournalofBusinessandEonomiStatistis10(3),251270.
3-yearb ond 5-yearb ond 7-yearb ond 10-yearb ond
08/01/1990-31/08/1990 08/01/1990-11/09/1990 08/01/1990-26/03/1990 08/01/1990-17/05/1990
27/07/1990-03/09/1990 19/07/1990-21/01/1991
06/01/1992-07/04/1993 23/12/1991-08/04/1993 01/01/1992-25/03/1992 23/12/1991-27/03/1992
31/07/1992-26/11/1992 11/08/1992-23/11/1992
04/02/1993-05/04/1993 10/02/1993-07/04/1993
24/02/1994-23/09/1994 28/01/1994-23/09/1994 08/02/1994-01/09/1994 31/01/1994-14/09/1994
21/10/1994-05/09/1995 21/10/1994-20/09/1995 02/05/1995-15/08/1995 04/05/1995-17/08/1995
13/02/1996-24/09/1996 14/02/1996-14/10/1996 15/02/1996-15/08/1996 12/02/1996-20/09/1996
26/08/1998-20/08/1999 31/08/1998-12/10/1999 10/09/1998-12/10/1999 08/09/1998-12/10/1999
03/01/2000-08/06/2000 04/01/2000-02/06/2000 31/12/1999-09/06/2000
01/12/2000- 05/12/2000- 12/12/2000-18/05/2001 06/12/2000-25/05/2001
28/08/2001-20/03/2002 10/08/2001-22/03/2002
10/05/2002- 10/05/2002-
3-yearb ond 5-yearb ond 7-yearb ond 10-yearb ond
a
0,000 0,000 0,000 0,000(−0,28) (−0,27) (−0,41) (−0,44)
b
0,057∗
0,059
∗
0,063
∗
0,056
∗
(3,50) (3,61) (3,76) (3,41)
c
0,244∗
0,166
∗
0,117
∗∗
0,073
(3,64) (2,31) (1,73) (1,03)
dUE
-0,120∗
-0,100
∗∗
-0,082 -0,076
(−2,16) (−1,80) (−1,52) (−1,48)
dcpi
0,131∗
0,132
∗
0,118
∗
0,104
∗
(2,91) (2,76) (2,49) (2,24)
dppi
-0,021 -0,021 -0,020 -0,015(−1,24) (−1,22) (−1,18) (−0,89)
dgdp
0,011 0,011 0,007 0,006(0,95) (0,94) (0,67) (0,60)
dret
0,030∗
0,025
∗∗
0,022 0,021
(2,04) (1,71) (1,56) (1,56)
dbp
-0,002 -0,002 -0,001 -0,001(−0,66) (−0,81) (−0,41) (−0,57)
w
-5,437∗
-5,364
∗
-5,107
∗
-5,140
∗
(−5,50) (−5,53) (−4,66) (−4,42)
θ
0,075 0,092∗∗
0,109
∗∗
0,033
(1,32) (1,67) (1,83) (0,58)
α
0,009 0,022 0,040 0,059∗∗
(0,28) (0,75) (1,23) (1,87)
β
0,058 0,072 0,124 0,121(0,34) (0,43) (0,65) (0,61)
γr ∗
0,703∗
0,774
∗
0,733
∗
0,787
∗
(3,84) (3,67) (3,45) (3,22)
γUE
1,134∗
1,124
∗
1,037
∗
0,994
∗
(8,89) (8,83) (8,33) (7,37)
γcpi
0,276∗∗
0,258
∗
0,228
∗∗
0,251
∗
(1,91) (2,00) (1,89) (2,14)
γppi
-0,038 -0,008 0,035 0,095(−0,27) (−0,07) (0,25) (0,66)
γgdp
0,445∗
0,466
∗
0,459
∗
0,437
∗
(3,90) (4,21) (4,08) (3,78)
γret
0,461∗
0,463
∗
0,406
∗
0,297
∗
(3,14) (3,36) (2,89) (2,09)
γbp
-0,187 -0,139 -0,135 -0,133(−1,41) (−1,04) (−1,00) (−1,06)
*and**indiatethattheorresp ondingo eientisstatistiallysigniantatthe5%and10%,resp etively.
Thenumb ersin
(.)
arethet-statistis.∆ Rt = a + b∆ Rt−1 + c∆r ∗ t + P K
k=1 dkD a k,t + ǫt
,ǫt−1 ǫt−1 p PK
35
3-yearb ond 5-yearb ond 7-yearb ond 10-yearb ond
a
-0,001 -0,001 -0,001 -0,001(−0,96) (−1,08) (−1,31) (−1,01)
b
0,062∗
0,067
∗
0,075
∗
0,065
∗
(3,92) (4,18) (4,63) (4,16)
stableperiods
c
0,284∗
0,246
∗
0,226
∗
0,234
∗
(2,96) (2,65) (3,01) (3,41)
dUE
-0,038 -0,041 -0,079 -0,035(−0,54) (−0,56) (−1,21) (−0,56)
dcpi
0,160∗
0,274
∗
0,185
∗
0,164
∗
(2,68) (4,49) (3,55) (2,71)
dppi
0,020 0,020 0,019 0,026(1,09) (0,91) (0,90) (1,26)
dgdp
-0,001 0,003 -0,006 -0,008(−0,07) (0,27) (−0,58) (−0,75)
dret
0,009 0,004 0,031∗∗
0,014
(0,54) (0,27) (1,91) (0,96)
dbp
-0,004 -0,001 -0,001 0,001(−1,23) (−0,24) (−0,19) (0,40)
unstableperiods
c 1
0,019 -0,081 -0,228 -0,261∗∗
(0,13) (−0,48) (−1,21) (−1,68)
dUE,1
-0,119 -0,091 -0,029 -0,100(−1,17) (−0,89) (−0,27) (−0,99)
dcpi,1
-0,029 -0,182∗
-0,111 -0,105
(−0,34) (−2,09) (−1,21) (−1,19)
dppi,1
-0,091∗
-0,079
∗
-0,083
∗
-0,075
∗
(−2,93) (−2,45) (−2,36) (−2,27)
dgdp,1
0,025 0,013 0,032 0,029(1,23) (0,67) (1,57) (1,49)
dret,1
0,051 0,042 0,001 0,024(1,93) (1,62) (0,03) (0,87)
dbp,1
0,003 -0,002 0,000 -0,003(0,62) (−0,44) (−0,04) (−0,71)
*and**indiatethattheorresp ondingo eientisstatistiallysigniantatthe5%and10%,resp etively.
Thenumb ersin
(.)
arethet-statistis.∆ Rt = a + b∆ Rt−1 + c∆r ∗ t + PK
k=1 dkD a k,t + c 1∆ r ∗
t ∗ DumR + PK
k=1 dk,1 Da k,t ∗ DumR + ǫt
∗
w
-1,039∗
-1,234
∗
-1,106
∗
-1,211
∗
(−4,20) (−5,53) (−6,25) (−5,97)
θ
0,047∗∗
0,050
∗∗
0,009 0,003
(1,84) (1,85) (0,38) (0,13)
α
-0,019 -0,035∗∗
-0,042
∗
-0,048
∗
(−0,97) (−1,73) (−2,26) (−2,51)
β
0,828∗
0,794
∗
0,812
∗
0,796
∗
(19,57) (20,71) (25,69) (22,27)
stableperiods
γr ∗
0,234 -0,006 0,112 -0,039(1,06) (−0,03) (0,58) (−0,17)
γUE
0,024 0,182 0,174 0,182(0,12) (0,88) (1,08) (1,05)
γcpi
-0,256 -0,168 -0,185 -0,173(−1,31) (−0,78) (−1,12) (−0,93)
γppi
-0,264 -0,210 -0,195 -0,207(−1,29) (−0,95) (−1,09) (−1,12)
γgdp
-0,056 -0,228 -0,203 -0,226(−0,28) (−1,10) (−1,22) (−1,25)
γret
-0,062 -0,167 -0,002 -0,056(−0,27) (−0,71) (−0,01) (−0,31)
γbp
-0,394∗
-0,628
∗
-0,359
∗
-0,328
∗∗
(−2,27) (−2,89) (−2,20) (−1,88)
unstableperiods
γr ∗ ,1
0,216 0,611∗∗
0,565
∗
0,660
∗
(0,75) (1,86) (2,07) (2,27)
γUE,1
0,743∗
0,630
∗
0,654
∗
0,618
∗
(3,05) (2,60) (3,15) (2,80)
γcpi,1
0,403 0,300 0,343 0,393∗∗
(1,61) (1,17) (1,54) (1,66)
γppi,1
0,121 -0,013 0,018 0,137(0,42) (−0,05) (0,06) (0,49)
γgdp,1
0,765∗
0,774
∗
0,862
∗
0,812
∗
(3,31) (3,53) (4,62) (4,17)
γret,1
0,318 0,509∗∗
0,299 0,271
(1,03) (1,68) (1,00) (0,96)
γbp,1
0,422∗∗
0,738
∗
0,489
∗
0,379
∗∗
(1,86) (2,94) (2,36) (1,74)
*and**indiatethattheorresp ondingo eientisstatistiallysigniantatthe5%and10%,resp etively.
Thenumb ersin
(.)
arethet-statistis.ln( ht ) = w + α q ǫt−1
ht−1 + βln( ht−1 ) + θ(| q ǫt−1 ht−1 | − p
2/π) + γDumr ∗ τ + P K
k=1 ϕkDum a k,t
37
3-yearb ond 5-yearb ond 7-yearb ond 10-yearb ond
a
-0,001 -0,001 -0,002∗
-0,001
(−1,54) (−0,68) (−1,96) (−1,52)
b
0,062∗
0,064
∗
0,072
∗
0,064
∗
(3,83) (3,88) (4,25) (4,01)
c
0,318∗
0,227
∗
0,208
∗
0,162
∗
(4,26) (3,10) (2,85) (2,41)
dUE
-0,078 -0,030 -0,086 -0,068(−1,53) (−0,55) (−1,61) (−1,37)
dcpi
0,156∗
0,185
∗
0,144
∗
0,126
∗
(3,66) (4,32) (3,29) (2,83)
dP P I
-0,013 -0,026 -0,016 -0,008(−0,79) (−1,53) (−0,98) (−0,52)
dGDP
0,006 0,001 0,001 0,000(0,62) (0,09) (0,11) (−0,05)
dRET
0,028∗
0,018 0,026
∗
0,018
(2,05) (1,37) (1,94) (1,43)
dbp
-0,002 -0,002 -0,001 -0,001(−1,05) (−1,03) (−0,50) (−0,44)
*and**indiatethattheorresp ondingo eientisstatistiallysigniantatthe5%and10%,resp etively.
Thenumb erin
(.)
arethet-statistis.∆ Rt = a + b∆ Rt−1 + c∆r ∗ t + PK
k=1 dkD a k,t + ǫt
,ln( ht ) = w + α q ǫt−1
ht−1 + βln( ht−1 ) + θ(| q ǫt−1 ht−1 | − p
2/π)
+γ 1 Dum + r ∗ τ
∗ DumR + PK
k=1 ϕk,1 Dum a+
k,t ∗ DumR + γ 2 Dum − r ∗ τ
∗ DumR + PK
k=1 ϕk,2 Dum a−
k,t ∗ DumR . r ∗
:entralbankrate,UE:unemployment;CPI:onsumerprieindex;PPI:pro duerprieindex;
GDP:grossdomestipro dut;BP:Balaneofpayment;RET:retailsales.