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Deflation and output across sectors: results for the Czech Republic

Abstract

The present paper looks into the relationship between deflation and economic output. Previous studies relied uniquely on annual macroeconomic data on GDP and prices, which caused lack of observations on deflation. This paper uses panel data on 86 sectors of the Czech economy in 1993-2015, which offer more variation in price changes and display frequent observations of deflation. Our goal is to test the hypothesis whether deflation negatively affects output growth – as is commonly thought – and whether central banks should counter all deflation that appears. The most common argument against deflation is that decreasing prices lead consumers and firms to postpone purchases, which in turn depresses output. We find that (1) sectors with output price deflation and below-average inflation have higher growth rate of output, and that (2) these sectors also tend to show quicker growth in gross value added. This evidence contradicts the often held notion that deflation is linked with recession or subpar growth. It also shows that firms with deflating output prices do not have trouble preserving their profits. Deflation observed in the Czech economy in 1993-2015 is likely to be the result of falling unit costs enabled by firms’ investment rather than the result of falling demand. This might have policy implications. Our results highlight that monetary policy should differentiate among sources of deflation and that deflation observed in the Czech Republic has been rather of the 'good' type. We believe that our approach using sector data is novel because it uncovers more variation in prices and output than the more common approach that uses macroeconomic aggregates.

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Deflation and output across sectors: results for the Czech Republic

Author: Ryska, Pavel
Publisher: Technická Univerzita v Liberci
Year: 2018
Source: https://dspace.tul.cz/bitstreams/dd36b2e4-423f-41e6-88ed-dbeeaf4b1b07/download
94 2018, XXI, 4
Ekonomie
DOI: 10.15240/ ul/001/2018-4-007
In oduc ion
The s udy o de l a ion seems o be gaining
e e mo e impo ance. Cen al banks in mos
ad anced economies, including he Eu opean
Cen al Bank and he Czech Na ional Bank,
ha e obse ed CPI in l a ion unning below hei
a ge s o e en in ou igh de l a iona y e i o y.
These cen al banks a gue ha de l a ion should
be a oided a all cos s and employ ex ao dina y
policies such as quan i a i e easing, o eign
exchange in e en ions o nega i e nominal
in e es a es o i gh agains i . As hese
policies ha e no always led o highe economic
g ow h and highe in l a ion, he e ha e been
calls o e en mo e ex ao dina y measu es.
Among hose is a p oposal o abolish cash
money in o de o allow banks o ca y o e he
nega i e in e es a es mo e e i cien ly on hei
deposi o s and s oke in l a ion (see e.g. Bui e ,
(2009) o Rogo (2014)). The e o e, a lo is a
s ake in knowing whe he de l a ion (especially
mild de l a ion) should be a oided by all means.
The e a e subs an ial p oblems wi h s udies
ha ha e ied o assess he ela ionship
be ween economic g ow h and he p ice le el.
Fi s , all o hem ha e used agg ega e da a o
coun ies such as GDP and CPI. While agg ega e
a iables p o ide in o ma ion abou he economy
as a whole, hey canno e eal he po en ial
a ia ion in ou pu and p ices ha akes place
‘inside’ he economy. As a esul , we know e y
li le abou whe he i ms and sec o s wi hin he
economy ace de l a ion and whe e i comes om.
We can also ha dly assess whe he de l a ion-
ecession heo ies hold. Second, episodes o
de l a ion in he agg ega e CPI o in he GDP
de l a o ha e been sca ce in he pas decades.
As a esul , s udies on de l a ion ha e had o
ely on his o ical da a, o en be o e Wo ld Wa I.
Wha e e hese s udies show, hei conclusions
can be c i icized as i ele an , because hey a e
based on ou da ed obse a ions.
In his pape , we ake a di e en app oach.
Ins ead o using agg ega e da a on GDP and
in l a ion, we ocus on sec o da a on p oduc ion
and p ices. Speci i cally, we use da a om he
Czech S a is ical O i ce on p oduc ion, g oss
alue added and p ices in sec o s o he Czech
economy om 1993 o 2015. This da ase has
h ee ad an ages: (1) i is ich in in o ma ion on
i ms’ ou pu and inpu s, (2) i p o ides ecen
obse a ions, and (3) i con ains nume ous
episodes o sec o de l a ion, which would on
he mac oeconomic le el be concealed unde
he agg ega e CPI o de l a o numbe s. We
hink his app oach is no el: we do no know o
ano he s udy ha would analyze de l a ion and
g ow h using sec o da a.
We i nd ha , con a y o common wisdom,
de l a iona y p essu es in he Czech economy
ha e been coming om sec o s wi h inc easing
ou pu and inc easing g oss alue added,
no om he de e io a ing ones. This shows
ha de l
a ion was mos o en g ow h-d i en,
ep esen ing ising p oduc i i y.
This ex p oceeds as ollows. In Sec ion 1,
we p esen he cu en s a e o esea ch
on de l a ion and show i s main d awbacks.
In Sec ion 2, we p esen ou sec o da a
om na ional accoun s. We i s show some
desc ip i e s a is ics in Sec ion 3. We hen
pe o m eg ession analysis in Sec ion 4, whe e
we use he i xed e ec s model and Gene al
Me hod o Momen s es ima ion o eg ess he
g ow h in p oduc ion and g oss alue added on
he g ow h o p ices plus con ol a iables. The
las sec ion concludes he pape .
1. Cu en Resea ch
1.1 Empi ical S udies
The e a e h ee main lines o easoning why
de l a ion is hough by many o be ha m ul
o economic g ow h. Fi s , he expec a ion o
alling p ices may delay spending by consume s
DEFLATION AND OUTPUT ACROSS
SECTORS: RESULTS FOR THE CZECH
REPUBLIC
Pa el Ryska, Pe Sklenář
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and businesses. Fi ms see hei e enues all
and i hey canno adjus wages and o he cos s
acco dingly, hei ma gins sh ink and hey ha e
o lay o wo ke s. Second, o a gi en nominal
in e es a e, de l a ion aises he eal in e es
a e, which in u n migh de e in es men .
Thi d, i he e is signi i can indeb edness in he
economy, de l a ion may cause bank up cies as
i inc eases he eal alue o deb .
Se e al s udies ha e a emp ed o assess
empi ically whe he he alleged link be ween
de l a ion and ecession holds. Bo do and
Redish (2003) es ic hei a en ion o he
Uni ed S a es and Canada in he pe iod 1870-
1913, which was ich in episodes o de l a ion.
They i nd ha p ices did no a ec ou pu . Bo do,
Lane and Redish (2004) add Ge many o he
sample and each a simila conclusion. O he
ecen s udies use long da ase s ha span mo e
han a cen u y and con ain many coun ies.
A keson and Kehoe (2004) conclude om hei
eg ession o ou pu g ow h on g ow h o p ices
ha in he whole sample, he co ela ion is
close o ze o. An excep ion is he subsample o
he G ea Dep ession in he 1930s, whe e he
link was posi i e. Bo io and Fila do (2004) as
well as Bo io e al. (2015) gene ally con i m his
esul . By con as , Gue e o and Pa ke (2006)
lean o he conclusion ha de l a ion is bad
o g ow h, i nding an economically small bu
s a is ically signi i can link. Acco ding o hem,
lagged de l a ion nega i ely a ec s ou pu .
Benhabib and Spiegel (2009) i nd a non-linea
ela ionship be ween de l a ion and ecession.
In ecen yea s, some esea che s ha e
ocused on he link be ween expec ed in l a ion
(o de l a ion) and consump ion. In e es ingly,
hey ha e p oduced s a kly di e en esul s.
Bachmann, Be g and Sims (2015), using ecen
da a on he US economy, e use he hypo hesis
ha he expec a ion o de l a ion leads o lowe
p esen consump ion. By con as , Ichiue and
Nishiguchi (2014) suppo his hypo hesis using
su ey da a on mode n Japan.
O e all, he exis ing empi ical wo k on
de la ion is a he limi ed – which is su p ising
gi en i s impo ance o mone a y policy – and
inconclusi e. As we explain below, he e is
a majo p oblem o applicabili y o he majo i y
o hese s udies o mode n-day mone a y policy.
1.2 ‘Good’ o ‘Bad’ De l a ion?
Two lines o hough can be aced in cu en
mains eam mac oeconomics. The i s g oup
conside s de l a ion decisi ely ha m ul and
s udies ways o a oid i . He e we can include
in l uen ial mac oeconomis s K ugman (1998),
Be nanke (2002) o S ensson (2003).
The second g oup akes a mo e de ailed look
a de l a ion. Bo do and Redish (2003) coined
he e ms ‘good’ and ‘bad’ de l a ion. De l a ion
is o he good ype i is associa ed wi h ising
ou pu . In pa icula , good de l a ion occu s when
i ms in es o dec ease uni cos s and inc ease
ou pu . As a esul , i he economy ope a es
wi h a cons an money supply, consume s buy
an inc eased ou pu wi h he same amoun o
money, so he p ice le el dec eases. This is
a synonym o an ou wa d shi in he agg ega e
supply cu e. This si ua ion is hough o ha e
been ypical o he p e-Wo ld Wa I pe iod.
By con as , bad de l a ion is associa ed wi h
alling ou pu . In his case, de l a ion esul s om
dec easing nominal demand, which canno
be immedia ely passed on o lowe p ices o
inpu s. Fi ms see hei p o i abili y dec ease
and cu p oduc ion. This was mos p obably one
o he cha ac e is ics o he G ea Dep ession o
he 1930s.
O he wo ks adhe ing o his dis inc ion
be ween good and bad de l a ion include
Beckwo h (2007), Bo do and Fila do (2005)
and o a ce ain ex en also Bo io e al. (2015).
The e ms good and bad de l a ion do no
desc ibe causali y – hey only desc ibe
co ela ions. Fo example, bad de l a ion does
no necessa ily mean ha de l a ion causes
alling ou pu . Dec easing p ices may only be
a symp om o alling demand, no he oo cause
i sel . Howe e , he e ms may be use ul in
p ac ice because policymake s y o de e mine
he ype and decide whe he hey should o
should no coun e ac i . I de l a ion esul s om
dec easing nominal demand, cen al banks
conside i undesi able and p e e o o se i
by easing policy. On he con a y, i i esul s
om cheape p oduc ion wi hou di ec link o
demand, cen al banks may be mo e willing o
le such de l a ion un i s cou se. The e o e, i we
i nd ha mos de l a ion going on in he economy
is o he good ype, i may ha e a di ec policy
implica ion.
Fo hese pu poses, he exis ing empi ical
esea ch has a clea disad an age. All he
s udies men ioned in Sec ion 1.1 use only
agg ega e mac oeconomic a iables, mos
o en he GDP and CPI in l a ion. This causes
a ade-o : he agg ega e annual da a do no
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96 2018, XXI, 4
Ekonomie
show almos any yea s wi h de l a ion in he las
decades o mos de eloped economies (Fo
he Czech Republic, oo, he agg ega e p ice
de l a o shows only one yea wi h de l a ion in
he pe iod 1993-2015.). When esea ches wan
o use agg ega e da a and lea n mo e abou
de l a ion, hey ha e o use p e-Wo ld Wa I da a
which a e ich in obse a ions o de l a ion. Bu
hen he esul s a e based on old obse a ions
which may ha e li le ele ance o oday
because mone a y egimes ha e changed,
he e a e s a kly di e en le els o deb , he e is
mo e i nancial in e media ion, e c.
By con as , using sec o da a, we ha e
many episodes o mode n-day de l a ion and
we ci cum en he ade-o . We a e hus be e
equipped o make judgmen s abou a po en ial
link be ween p ices and ou pu and o assess
pa icula de l a ion- ecession heo ies. (Below
we use he e ms in l a ion and de l a ion also
o he change o sec o p ices. Some may
insis ha in l a ion and de l a ion deno e only
agg ega e p ice mo emen s, bu no sec o p ice
mo emen s. Howe e , all agg ega e numbe s
ha e hei sou ces in hei componen s, and
i is p ecisely hese sou ces ha we analyse
below. Thus we use in l a ion and de l a ion in
he b oade sense.)
2. Da a
We use da a om he Czech S a is ical O i ce
(2017). I has comple e da a on 86 sec o s
o he Czech economy as de i ned in na ional
accoun s. The de i ni ion o each indus y is
based on NACE classi i ca ion and alues a e
published in he s a is ics o Na ional Accoun s.
The da a spans om 1993 o 2015.
As we use g ow h in a iables a he
han le els, one ime pe iod d ops ou , so
we ha e 22 ime pe iods. Tha gi es a o al
o 1892 obse a ions. The a iables a e
ou pu p ices (implici p ice de l a o ), ou pu ,
g oss alue added (GVA), employmen and
in e media e inpu s. Ou pu , GVA, employmen
and in e media e inpu s a e a ailable bo h in
nominal and eal e ms, bu in his a icle we
use hem in eal e ms (i.e., in cons an p ices)
as we a e in e es ed in assessing he e ec o
p ices on eal ou pu o i ms.
An impo an ea u e o he NACE
classi i ca ion is ha i does no co e only
sec o s p oducing o i nal consump ion, bu
also sec o s uppe in he p oduc ion chain
– i.e., sec o s p oducing capi al goods and
in e media e inpu s. As a esul , i ms’ ou pu
does no mean only consume goods bough
by consume s, bu also capi al goods bough by
o he i ms.
Fig. 1: P oduc ion and GVA g ow h agains change o p ices
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
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3. Desc ip i e S a is ics
In ou sample, posi i e p ice g ow h p e ails
and accoun s o 80% o all obse a ions (see
Fig. 1). A he same ime, app oxima ely h ee
i hs o obse a ions ha e posi i e g ow h o
p oduc ion and g oss alue added. As a esul ,
oughly hal o obse a ions lie in he op- igh
quad an in Fig. 1. In his sec ion we ocus on
basic s a is ical ela ionships be ween he sign
o p ice change (in l a ion/de l a ion) and he
sign and g ow h a e o p oduc ion o GVA.
In pa icula , we ocus on whe he declines in
p oduc ion a e associa ed wi h de l a ion.
In Tab. 1, we epo he compa ison o
g ow h in p oduc ion and g oss alue added
unde inc easing e sus dec easing p ices.
We also isualize he compa isons wi h densi y
g aphs in Fig. 2. Ou o obse a ions wi h p ice
de l a ion, 69.7% eco ded posi i e g ow h
in eal p oduc ion, while he co esponding
pe cen age o obse a ions wi h in l a ion is only
58.8%. This is also e l ec ed in he a e ages:
he a e age g ow h a e o p oduc ion du ing
episodes o p ice de l a ion is 5.47%, which is
sizably highe han he a e age g ow h wi h
in l a ion (2.85%). The e o e, his p elimina y
obse a ion con adic s he no ion ha de l a ion
is linked o subpa ou pu g ow h. To check his
i nding, we also an a o mal es o equali y
o means. As seen in Tab. 2, he - es ejec s
he null hypo hesis ha he a e age p oduc ion
g ow h unde in l a ion is equal o ha unde
de l a ion, he eby con i ming he i nding. In
con as , he s anda d de ia ions o g ow h
a es a e simila , which is also suppo ed by he
es ing o equali y o a iances.
We pe o med he same analysis also
o eal g oss alue added (see Tab. 1). He e
he be e pe o mance unde de l a ion is
e en mo e p onounced: 77.8% o de l a iona y
obse a ions epo posi i e g ow h in g oss
alue added, while o in l a iona y obse a ions
he pe cen age is only 52.3%. The a e age
g ow h o g oss alue added is 14.1% wi h
de l a ion, while only 0.68% wi h in l a ion. The
di e ence is also con i med by he - es . The
only di e ence wi h g oss alue added as
opposed o p oduc ion is he highe s anda d
de ia ion wi h de l a ion han wi h in l a ion.
The eason o hese a he con incing
i ndings may be he p e alence o ‘good
de l a ion’ in ou sample: he sec o s ha
epo ed p oduc p ice de l a ion could be
p ecisely he ones ha in es ed mos in
p oduc ion and he e o e enabled cheape and
g ea e p oduc ion. Anyway, his p elimina y
look uns agains he claim ha de l a ion ha ms
p ospec s o g ow h.
In he Appendix, we e e se ou pe spec i e
and ask he ques ion how much g ow h in
p ices he e is unde he opposi e scena ios
o ise and all in p oduc ion and GVA.
All da a
In l a ion
De l a ion
Obse a ions 1,892
1,509
383
P oduc ion
obs. wi h p oduc ion inc ease 61.00%
58.80%
69.70%
obs. wi h p oduc ion dec ease 39.00%
41.20%
30.30%
Mean g ow h 3.38 2.85 5.47
S anda d de ia ion o g ow h 12.89 12.71
13.39
G oss alue added
obs. wi h GVA inc ease 57.50%
52.30%
77.80%
obs. wi h GVA dec ease 42.50%
47.70%
22.20%
Mean g ow h 3.40 0.68 14.10
S anda d de ia ion o g ow h 34.86 25.74
57.05
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
Tab. 1: G ow h o p oduc ion and GVA unde in l a ion and de l a ion
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Ekonomie
This complemen s ou esul he e ha slowe
p ice g ow h o ou igh de l a ion is accompanied
by quicke ou pu g ow h.
4. Reg ession Analysis
4.1 Time A e ages
As a i s look on co ela ions, we pe o med
a simple eg ession o ime a e ages. We
eg essed a e age annual ou pu g ow h in he
86 sec o s o he Czech economy o e 1993-
2015 on he co esponding a e age annual
p ice g ow h, as seen in Tab. 3.
In wha ollows below, we deno e x he
annual pe cen age change in a iable X.
Tha is, p is he g ow h in p ices, q in eal
ou pu (p oduc ion) and g a in eal g oss
alue added. We es ed he esul s in Tab. 3
o he p esence o he e oscedas ici y and
whene e i was de ec ed we used he Whi e’s
he e oscedas ici y-co ec ed co a iance ma ix.
Tes s a is ic p- alue
P oduc ion
- es o equali y o means 3.44*** <0.001
F- es o equali y o a iances 1.11 0.19
G oss alue added
- es o equali y o means 4.49*** <0.001
F- es o equali y o a iances 4.91*** <0.001
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
No e: We use he Welch - es , i.e., a s anda d unpai ed and wo-sided - es o de e mine whe he he means o p odu-
c ion g ow h unde in l a ion and de l a ion a e equal o each o he . The null hypo hesis is ha he wo means a e equal.
To es he equali y o a iances, we use an F- es , whe e he null hypo hesis is ha he a io o he a iances o he
samples is equal o 1.
No e: The sign *** deno es signi i cance a 1% le el.
Tab. 2: Tes s o equali y o means and a iances
Fig. 2: Densi y o p oduc ion and GVA g ow h unde de l a ion and in l a ion
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
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The eg ession coe i cien on p (pe cen age
g ow h in p ices) is -1.142, signi i can a 1%,
sugges ing ha slowe p ice g ow h has been
associa ed wi h as e ou pu g ow h. As
depic ed in Fig. 3, he e is one dis inc ou lie
on op le . This sec o is he manu ac u ing
o compu e , elec onic and op ical p oduc s.
In e es ingly, i is bo h he sec o wi h he
as es g ow h a e o p oduc ion and he only
sec o wi h a e age annual de l a ion o e 1993-
2015. We also an he eg ession wi hou his
ou lie , bu he nega i e coe i cien and high
s a is ical signi i cance emain (see Tab. 3).
We ied lea ing ou up o 10 mos ex eme
obse a ions, bu he nega i e and s a is ically
signi i can coe i cien o p emained.
We can obse e he gene al pa e n o he
sec o s in he Czech economy om Fig. 3: while
All da a Wi hou ou lie
Coe i cien p- alue Coe i cien p- alue
Reg essing q on:
In e cep 7.082*** <0.001 -6.118*** <0.001
p -1.142*** <0.001 -0.919*** <0.001
Obse a ions
86 85
Adj. R2
0.237
0.167
Reg essing g a on:
In e cep 8.996*** <0.001 8.824*** <0.001
p -1.998*** <0.001 -1.819*** <0.001
Obse a ions
86 85
Adj. R2
0.380
0.323
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
No e: The sign *** deno es signi i cance a 1% le el.
Tab. 3: Time a e ages: Reg ession o a e age annual g ow h in ou pu and GVA
on in l a ion
Fig. 3: Reg essing ime a e ages: (a) Ou pu g ow h on in l a ion, (b) GVA g ow h
on in l a ion (all da a)
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
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100 2018, XXI, 4
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he con ac ing sec o s had bo h low and high
in l a ion, booming sec o s ended o ha e lowe
in l a ion and hose ha expanded mos quickly
– wi h g ow h a e o ou pu abo e 10% – had
exclusi ely low in l a ion o ou igh de l a ion.
The esul s sugges ha highe ou pu
g ow h is linked o slowe p ice g ow h, i.e. low
in l a ion o ou igh de l a ion. Howe e , i may
no be e iden wha happens o i ms’ p o i s
as in l a ion slows o u ns in o de l a ion. We
he e o e used g ow h in eal g oss alue added
ins ead o eal ou pu g ow h and eg essed i
on p ice g ow h. The esul s a e e y simila o
hose wi h ou pu g ow h (see Tab. 3 and Fig. 3).
O e all, his e idence oo seems o un
agains he de l a ion- ecession heo ies. In ou
sample, as e ou pu g ow h and p o i g ow h
a e associa ed wi h slowe in l a ion o ou igh
de l a ion. This could sugges ha highe
p oduc ion mos o en esul s om in es men
in o lowe -cos p oduc ion, o which consume s
eac by pu chasing mo e.
4.2 Panel Da a
Two Models
Using panel da a na u ally o e s much mo e
in o ma ion han ime a e ages because
we can make use o he en i e a ia ion o
annual obse a ions. Ou da a a e in he o m
o balanced panel da a and we use he i xed
e ec s model o es ima ion. This model allows
unobse ed sec o -speci i c e ec s o ha e any
co ela ion wi h he explici eg esso s. We
es ima ed he models below using he so-called
‘wi hin es ima ion’.
Gene ally, we use wo economic models
o es ima ion. The i s is an au o eg essi e
dis ibu ed lag (ADL) model which akes
a mac oeconomic app oach o p ices and
p oduc ion. Jus as s udies ci ed in Sec ion 1.1
eg ess GDP g ow h on p ice g ow h (in l a ion
o de l a ion), we eg ess sec o ou pu g ow h
on he espec i e g ow h in ou pu p ices o
he gi en sec o . This di ec ly add esses he
ques ion o co ela ion be ween p ices and
ou pu . We also include lagged a iables. Fo
example, we es ima e
qi = â0 + â1qi -1 + â2 pi + â3 pi -1 + ai + ui (1)
whe e qi is eal ou pu g ow h in sec o i and
yea , pi g ow h in ou pu p ices in he sec o
(bo h in pe cen e ms), ai he sec o -speci i c
unobse ed e ec and ui he e o e m.
The second model, in con as , akes
a mo e mic oeconomic, i m-le el app oach. To
p oduce ou pu , i ms mus employ wo ke s and
buy in e media e inpu s. The e o e, he model
we es ima e is
qi = â0 + b1 pi + â 2empi + â3inpi + ai + ui (2)
whe e emp is g ow h in labou employed
(measu ed in o al hou s wo ked) and inp
g ow h in he olume o in e media e inpu s in
p oduc ion.
The eg esso s include wo usual inpu s in
he neoclassical p oduc ion unc ion ( o why
we exclude capi al K, see ou discussion below)
plus a special e m – he ou pu p ice change
p. P oduc i i y, o e i ciency o p oduc ion, is
usually accoun ed o as a esidual, i.e., wha
emains unexplained in ou pu p oduced i we
ake in o accoun changes in labou , capi al
and in e media e inpu s. Fi ms ypically in es
o ake o he measu es in o de o make
p oduc ion mo e e i cien . A e hey do so, hey
can p oduce mo e and wi h lowe cos s, so
hey can o e hei p oduc s mo e cheaply and
each mo e cus ome s. I his is he case, hen
he ou pu p ice P ac s as a p oxy o e i ciency.
The lowe is he cos o p oduc ion, he lowe is
he obse ed p ice P. The e o e, p ice g ow h
p is no only a a iable ha we add o i nd ou
abou i s co ela ion wi h ou pu g ow h q, bu i
also has a conc e e economic in e p e a ion as
a p oxy o he e i ciency o p oduc ion.
Equa ion 1 abo e con ains he lagged
dependen a iable qi -1 among eg esso s.
As a esul , he i xed-e ec s es ima o is
gene ally no consis en . As Woold idge (2002)
shows, he bias alls a a a e 1/T as T g ows,
and o a ime dimension high enough, he
inconsis ency would be negligible. We hink ha
wi h ou T = 22, we do ha e a T high enough
o be su e ha mos o he bias disappea s.
Howe e , as a check we also pe o m Gene al
Me hod o Momen s (GMM) es ima ion in
equa ions whe e he e a e lagged dependen
a iables. Ou GMM es ima ion ollows A ellano
and Bond’s (1991) wo-s ep p ocedu e and
we use lags o o de 2 o 5 o he dependen
a iable as ins umen al a iables. Finally, in
he i xed e ec s models below, each eg ession
was es ed o he e oscedas ici y and se ial
co ela ion. When ei he o hese was de ec ed,
a obus a iance ma ix es ima o was used o
co ec he a iances and es s a is ics.
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101
4, XXI, 2018
Economics
Resul s: Mac oeconomic App oach
In he i s , mac oeconomic app oach, we
es ima e he e ec o in l a ion on ou pu g ow h
and GVA g ow h in an au o eg essi e dis ibu ed
lag model. Tab. 4 shows ha con empo aneous
in l a ion p is nega i ely linked wi h ou pu
g ow h, con i ming ou i ndings om Sec ion
4.1 abo e. The GMM es ima ion b ings an
es ima e o he coe i cien o p e y simila o
he i xed e ec s es ima ion (-0.303 s. -0.293)
and con i ms i s s a is ical signi i cance. By
con as , he coe i cien o p -1 is economically
and s a is ically less signi i can , bo h acco ding
o i xed e ec s es ima ion and GMM. Simila ly
o ou pu , in l a ion is nega i ely linked o he
g ow h in g oss alue added o i ms (see he
lowe hal o Tab. 4).
The only di e ence is ha he magni ude
o he coe i cien o p is bigge o g oss alue
added han o ou pu as dependen a iable.
This is unde s andable since i ms usually ha e
ope a ing le e age: a ise in ou pu ( e enues) by
1% causes a ise in g oss p o i o mo e han 1%.
Resul s: P oduc ion-Func ion App oach
In he second, mo e mic oeconomic app oach,
we use ypical inpu s in o p oduc ion unc ion
as con ol a iables o assessing he impac
o in l a ion on ou pu g ow h. These should
be mo e powe ul con ol a iables as hey
a e di ec ly linked o ou pu . We es ima e
he equa ion wi h g ow h in labou emp ( o al
hou s wo ked) and g ow h in he olume o
in e media e inpu s inp as con ols.
We ha e also added g ow h in g oss capi al
s ock k o imi a e mo e he adi ional p oduc ion
unc ion Y = (L, K). Because da a on capi al
s ock ha e poo e a ailabili y han o he da a,
we used an al e na i e sou ce om he OECD
(2016). I is bo h na owe (only 57 sec o s) and
sho e (1995-2009) han ou main da ase , so
i has much ewe obse a ions (798). Resul s
om his enla ged eg ession ha includes
k a e no ma e ially di e en om hose epo ed
in Tab. 5 and we do no epo hem he e.
As expec ed, his model shows a much
highe i as Adj. R2 is as high as 0.638 in
he ou pu eg ession in Tab. 5. And again,
in l a ion nega i ely a ec s ou pu g ow h
(-0.476) wi h high s a is ical signi i cance.
Labou and in e media e inpu s also ha e he
expec ed signs and high signi i cance. In he
GVA eg ession, in l a ion also has a nega i e
coe i cien and he coe i cien is again g ea e
in absolu e magni ude. In e es ingly, while he
labou inpu has a posi i e and s a is ically
signi i can impac on GVA, in e media e inpu s
lose hei signi i cance.
In e p e a ion
The empi ical esul s b ing, in ou iew, wo
impo an i ndings.
Fixed e ec s GMM
Coe i cien p- alue Coe i cien p- alue
Reg essing q on:
q -1 0.012 0.696 0.042 0.231
p -0.293*** 0.003 -0.303** 0.014
p -1 0.136* 0.052 0.110 0.121
Obse a ions
1,806 1,720
Adj. R2
0.017
-
Reg essing g a on:
g a -1 -0.086*** 0.002 -0.178 0.236
p -1.614*** <0.001 -1.768*** <0.001
p -1 0.614 0.173 0.393 0.617
Obse a ions
1,806 1,720
Adj. R2
0.068
-
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
No e: The sign * deno es s a is ical signi i cance a 10%, ** a 5% and *** a 1% le el.
Tab. 4: ADL: Reg ession o g ow h in ou pu and GVA on in l a ion
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102 2018, XXI, 4
Ekonomie
Fi s ly, he nega i e ela ionship be ween
g ow h in ou pu and g ow h in p ices sugges s
ha obse ed de l a ion has been p edominan ly
o he ‘good’ ype. I alling p ices esul ed
om alling nominal demand, i ms would no
espond by inc easing p oduc ion – on he
con a y, hey would cu i , as he ‘bad de l a ion’
hypo hesis goes. Hence, we would obse e
a posi i e co ela ion be ween p and q.
The al e na i e hypo hesis is ha as i ms
in es and imp o e e i ciency, hey manage
o cu uni cos s and p ices. This allows
hem o sell mo e p oduc s, i.e., each new
ma ginal demand h ough lowe p ices. This
‘good de l a ion’ hypo hesis is consis en wi h
ou i ndings – we see epea edly a nega i e
ela ionship be ween p and q.
I could be a gued ha he nega i e
ela ionship be ween p and q may in some
mo e in l a iona y yea s e l ec a he he
compa ison o high e sus low in l a ion han
in l a ion e sus de l a ion. Tha may be ue.
The shi o he agg ega e demand cu e – o
example, h ough cen al bank easing – may
mo e he whole mass o obse a ions o he
igh in Fig. 3, b inging many o hem ou o
he de l a iona y sec ion. Symme ically, lack
o agg ega e nominal demand may push hem
o he le , which was he case o ins ance
in 2009 when he economy as a whole had
a 1.4% de l a ion (measu ed as ou pu de l a o ).
Howe e , a he han ocusing on he posi ion o
he mass o obse a ions, we a e in e es ed in
he slope o he eg ession line – ha is, in he
shape o he mass. I s nega i e slope sugges s
ha he endency o cu p ices o a leas ha e
slowe p ice inc eases han he a e age is
associa ed wi h g owing i ms, no declining
ones. O e all, we a e no claiming ha ‘bad
de l a ion’ does no exis o ha i canno be
ha m ul. We a e only showing e idence ha
he e is much mo e ‘good de l a ion’ han ‘bad
de l a ion’ in ou sample.
Secondly, using g oss alue added in
addi ion o ou pu , we ha e shown ha lowe
p ices a e no only associa ed wi h g ea e
ou pu , bu also wi h g ea e g oss p o i o
i ms. Ou pu in i sel is no he i ms’ goal, bu
p o i is. I i
ms in es o inc ease p oduc ion
and cu p ices, hey also succeed in inc easing
p o i s, ou esul s show. This i nding is impo an
because one line o easoning (s a ing wi h
Fishe , 1933) is ha de l a ion o oo low in l a ion
ul ima ely e odes i ms’ p o i s and leads hem o
bank up cies. Ou esul s show o he wise, again
p o iding suppo o he case ha de l a ion in
ou sample s ems om i ms’ own ini ia i es, no
om nega i e shocks ha would squeeze p o i s.
As poin ed ou in Sec ion 2, he sec o s
used a e no only hose ha p oduce consume
Fixed e ec s
Coe i cien p- alue
Reg essing q on:
p -0.476*** <0.001
emp 0.280*** <0.001
inp 0.582*** <0.001
Obse a ions
1,700
Adj. R2
0.638
Reg essing g a
on:
p -1.663*** <0.001
emp 0.889*** <0.001
inp 0.062 0.637
Obse a ions
1,700
Adj. R2
0.112
Sou ce: Czech S a is ical O i ce (2017), own compu a ions
No e: The sign *** deno es signi i cance a 1% le el.
Tab. 5: P oduc ion unc ion: Reg ession o g ow h in ou pu and GVA on in l a ion
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