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Economic theories of imperfectly competitive labour markets predict that wages are linked to profits. In spite of this, profit variables are not explicitly specified in empirical models of wage formation that otherwise are appealing. Does this mean that theory overplays the role of profitability in wage formation? The answer is probably not: Using Norwegian wage formation as an example, we model the dereminants of profitability within a vector autoregressive model and show that existing wage equations that have been successful empirically in fact contain a close linkage between wage setting and profits.
.H\ZRUGV Cointegration, incomes policy, profitability, rate-of-return, vector autoregressive model, wage formation.
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$FNQRZOHGJHPHQW Versions of this paper have been presented at the Conference
"Macroeconomic Transmission Mechanisms" at the Norwegian University of Science and Technology, Trondheim, April 1999, and in seminars at Statistics Norway and at the University of Oslo. Comments from participants on these occasions are gratefully
acknowledged. Discussions with and comments from Ådne Cappelen, Kåre Johansen, Bjørn Naug, and Fredrik Wulfsberg have been very helpful.
$GGUHVV Roger Bjørnstad, Statistics Norway, Research Department. E-mail:
Ragnar Nymoen, University of Oslo, Department of Economics. P.O.B. 1095 Blindern, N-0317 Oslo. E-mail: [email protected]
'LVFXVVLRQ3DSHUV comprise research papers intended for international journals or books. As a pre- print a Discussion Paper can be longer and more elaborate than a standard jour- nal article by including intermediate calculation and background material etc.
Abstracts with downloadable PDF files of
Discussion Papers are available on the Internet: http://www.ssb.no
For printed Discussion Papers contact:
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Telephone: +47 62 88 55 00 Telefax: +47 62 88 55 95
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1980 1985 1990 1995 -.02
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1980 1985 1990 1995
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1980 1985 1990 1995
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48
1985 1990 1995 .025
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1985 1990 1995
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1985 1990 1995
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1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 .21
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1985 1990 1995 -.075
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β +2se
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1985 1990 1995
6 8 10 12
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Wkh uhvxow wkdw qr yduldeohv duh zhdno| h{rjhqrxv lqylwhv ixuwkhu prghoolqj ri wkh frpsohwh 60yduldeoh v|vwhp1 Dprgho ri wkh wkuhh yduldeohv lq wkh v|vwhp lv vkrzq lq Wdeoh :1 Lw lv frqvwuxfwhg iurp d 61 rughu GYDU prgho iru wkh wkuhh hqgrjhqrxv
54
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 -.05
025 +2σ
−2σ β14
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 .025
.05
.075 +2σ
−2σ β24
1988 1989 1990 1991 1992 1993 1994 1995 1996 1997 1998 2.5
5 7.5
χ²(3)
Test
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yduldeohv {S|/ {ERn+| dqg{ERn&&|1 Wkh frqglwlrqlqj yduldeohv duh wkh vdph dv deryh/ vhh Wdeoh 5/ h{fhsw wkdw zh qrz lqfoxgh wkh hvwlpdwhg htxloleulxp fruuhfwlrq phfkdqlvp lq wkh iroorzlqj irup
.^5R5| ' S|3ERn+|3ffe2L|3232c
.^5R5| ' S|3ER n&|3n ffeL|3232
Wkh prgho Lq Wdeoh : kdv ehhq uhvwulfwhg wr fdswxuh erwk wkh olqhdul}hg udwh ri uhwxuq dqg g|qdplf krprjhqhlw| lq dgglwlrq wr rwkhu uhvwulfwlrqv rq wkh g|qdplf vwuxfwxuh1 Wkh mrlqw whvw ri doo wkh ryhu lghqwli|lqj uhvwulfwlrqv dqg ri wkh uhvwulfwlrqv
|lhogv2Ee2 ' eDdfeodqg2E2 ' .edfHouhvshfwlyho|1 Lq wkh zdjh htxdwlrq
lq Wdeoh :oo|3e dqgL|332 duh vxevxphg lq.^5R5|3 dqg.^5R5|391 Lq dgglwlrq wr wkh yduldeohv lq wkh vlqjoh htxdwlrq lq Wdeoh 4 odjjhg prghoohg yduldeohv duh lqfoxghg lq wkh zdjh htxdwlrq lq Wdeoh :/ l1h1 {ERn&|32dqg{ERn+|3
Wkh dgglwlrqdo yduldeohv uhgxfh wkh hvwlpdwhg uhvlgxdo vwdqgdug huuru iurp 414;( lq wkh vlqjoh htxdwlrq dqdo|vlv wr 4146( lq wkh pxowlyduldwh1 Wkh frh!flhqw hvwlpdwhv duh rwkhuzlvh doprvw xqdhfwhg e| wkh fkdqjh ri hvwlpdwlrq phwkrg iurp ROV wr FILPO1 Khqfh wkhuh lv olwwoh orvv ri lqirupdwlrq zkhq prghoolqj zdjhv lq dq rqh0 htxdwlrq vhwwlqj frpsduhg wr wkh pxowlyduldwh dqdo|vlv hyhq zkhq lpsrvlqj wkh udwh0ri0uhwxuq vshflfdwlrq1
8 Frqfoxvlrq
Zh kdyh prghoohg d gdwd vhw wkdw h{whqgv wkh gdwd xvhg e| Q|prhq +4<;<d, e|
75 txduwhuv/ iurp 4<;:t7 wr 4<<;t51 Ghvslwh wkh whq |hduv ri qhz gdwd wkh pdlq vwuxfwxuh ri wkh vkruw uxq sduw ri wkh prgho lv uh0hvwdeolvkhg rq wkh qhz gdwd1 Wkh frlqwhjudwlqj sduw ri wkh htxdwlrq lv vlpsolhg wr d zdjh0vkduh irupxodwlrq +qr zhgjh,/ lq dffrugdqfh zlwk wkh qglqjv ri Mrkdqvhq +4<<8d,/ rq dqqxdo gdwd hqglqj lq 4<<31 Ryhudoo wkhuhiruh/ wkh lqyhvwljdwlrq vkrzv wkdw dq htxdwlrq wkdw olqnv zdjh jurzwk wr FSL0lq dwlrq dqg wr wkh odjjhg ohyho ri wkh zdjh0vkduh lv hpslulfdoo| vwdeoh lq wkh 4<<3v1 G|qdplf krprjhqhlw| lv gdwd dffhswdeoh1 Wkh uroh ri wkh zdjh0vkduh lq wkh htxloleulxp fruuhfwlrq sduw ri wkh prgho frqwudglfwv wkh zlghvsuhdg ylhz wkdw
9Uhfdoo iurp vhfwlrq 6 wkdw vlqfh
5=::HtFPUrU4w.HtFPUrU5w.d3uuw6. 3=49Xw55>
wkh huuru fruuhfwlrq phfkdqlvp lq wkh zdjh htxdwlrq lq Wdeoh : lv=
3=3:6HtFPUrU4w4. 3=359HtFPUrU5w43=359uuw7. 3=3368Xw65 3=359d3=
56
Wdeoh := FILPO uhvxowv iru d prgho ri wkh v|vwhp/ vwdqgdug huuru lq sduhqwkhvhv1 {S| {ERn+| {ERn&|
e
jff I eI 2bfI
.^5R5|3 ff.
E nffH
EffD. nff.S
.^5R5|3 nff2S Eff.
Efffe nfSf
Effeb nfb
{S|3 fSf Eff.
{ERn&|3 EffS fSf
Eff.
{ERn&|32 ffeH
E f2eD
EffDe feD2
EffHf
{ERn&|3 ff2.S
Eff.2
{ERn+|3 nffe
Effe f2.2
Eff.f
{?
E
{2RS|3 nf. E
EffD nf.D
Ef.S
{ A| nfDS2
Efef
{L|332 nfffD
Effff nff
Efffe
(L ffee
EfffS
Qrw lqfoxghg lq wkh wdeoh= d, Lqwhufhsw lq doo wkuhh htxdwlrqv1 e, Vhdvrqdov lq froxpqv 6 dqg 71
f, l4<;9t5 dqg l4<;7t4 lq froxpq 7/ l4<<:t5 lq froxpqv 6 dqg 71 GYDUplvvshvlfdwlrq whvwv=
I@oc3DEeDc2H 31<8^318:`
2c?_ES 718:^3193`
Ie|E2efceff 31<;^3188`
fhqwudol}hg zdjh edujdlqlqj lpso| zhdn hhfwv ri clqvlgh idfwruv*1
Wkurxjkrxw zh kdyh dgrswhg Mrkdqvhq*v vtxduhg lqyhuvh wudqvirup ri wkh udwh ri xqhpsor|phqw1 Zh vxvshfw krzhyhu wkdw wkh h{dfw irup ri wkh fxuydwxuh ri wkh zdjh fxuyh lv qrw d vwuxfwxudo ihdwxuh lq wkh vdph vhqvh dv wkh FSL0lq dwlrq dqg odjjhg zdjh0vkduh hhfwv1 Iru h{dpsoh/ wkhuh lv hylghqfh iurp prghov ri dqqxdo gdwd wkdw wkh orjdulwkplf wudqvirup lv dovr frqvlvwhqw zlwk vwdelolw|/ vhh Uûgvhwk dqg Q|prhq +4<<<,1 Wkdw ehlqj vdlg/ lw lv lqwhuhvwlqj wkdw d zdjh prgho zlwk wkh kljko| frqyh{ xqhpsor|phqw hhfw vxuylyhv lq vhfrqg kdoi ri wkh 4<<3v/ vlqfh wkh lpsolhg zdjh fxuyh lv dw lq wkdw shulrg1 Khqfh wkh frqvlghudeoh prghudwlrq ri qrplqdo zdjh fodlpv lq wkhvh |hduv/ dv qrwhg e| h1j1 RHFG +4<<:, lv h{sodlqhg e| orzhu surwdelolw|/ e| wkh fhqwudol}hg vhwwohphqwv lq wkh 4<;; dqg 4<;< dqg e|
wkh uhodwlyh vwdelolw| ri wkh qrplqdo h{fkdqjh udwh1 Wkhuh lv olwwoh vhsdudwh zdjh uhgxfwlrq hhfwv irup wkh ohyho ri xqhpsor|phqw wkdw zdv uhdfkhg lq wkh plg 4<<3v1 D pdlq remhfwlyh ri wkh sdshu kdv ehhq wr lqyhvwljdwh zkhwkhu wkh odjjhg zdjh0 vkduh lv d jrrg uhsuhvhqwdwlrq ri wkh olqn ehwzhhq surwdelolw| dqg zdjhv1 Iru wkdw sxusrvh zh irupxodwhg d voljkwo| pruh jhqhudo prgho wkdw xvhg wkh udwh ri uhwxuq rq fdslwdo dv dq h{solflw phdvxuh ri surwdelolw|1 Wkdw ohg wr wkh glvfryhu| wkdw odjjhg zdjhv uhodwlyh wr wkh fdslwdo0oderxu udwlr + ESER n& |3, frxog eh d plvvlqj yduldeoh lq wkh h{lvwlqj zdjh0vkduh prghov1 Krzhyhu/ dowkrxjk phdvxuhv ri w idyruv wkh udwh0ri0uhwxuq vshflfdwlrq/ wkh vwdwlvwlfdo glvfulplqdwlrq ehwzhhq wkh frqwhqglqj uhsuhvhqwdwlrqv ri surwdelolw| hhfwv zdv qrw yhu| vwurqj1 Dqrwkhu dvshfw/ eurxjkw rxw e| wkh frlqwhjudwlrq dqdo|vlv/ lv wkdw wkh plvvlqj yduldeoh lv vwdwlrqdu|/ zklfk khosv h{sodlq wkh hpslulfdo vxffhvv ri zdjh0vkduh prghov1
Ilqdoo|/ wkh v|vwhp dqdo|vlv vkrzhg wkdw wkh udwh0ri0uhwxuq vshflfdwlrq lp0
58
solhg wkdw zdjhv duh ixqgdphqwdoo| lqwhuolqnhg zlwk ydoxh dgghg surgxfwlylw| dqg wkh fdslwdo0oderxu udwlr1 Frqyhuvho|/ wkh zdjh0vkduh lghqwlfdwlrq ri wkh frlqwh0 judwlqj yhfwruv/ lpsolhg wkdw d zdjh htxdwlrq frxog eh vhsdudwhg rxw dv d ydolg frqglwlrqdo vxe0v|vwhp1 Wklv juhdwo| vlpsolhv iruhfdvwlqj dqg srolf| dqdo|vlv1
DGdwd
' orj ri dyhudjh krxuo| zdjh lq pdqxidfwxulqj/ qrplqdo nurqhu1 Vrxufh= QKR
^Frqihghudwlrq ri Qruzhjldq Exvlqhvv dqg Lqgxvwu|`1
A 'reoljdwhg vrfldo frvwv/ vkduh lq krxuo| zdjh1 Vrxufh= Qrujhv Edqn ^Fhqwudo Edqn ri Qruzd|`1
S'n *?E n A/ orj ri zdjh frvwv shu krxu lq pdqxidfwxulqj1
L- 'qxpehu ri shuvrqv r!fldoo| uhjlvwhuhg zlwkrxw ruglqdu| zrun1 Vrxufh= Du0 ehlgvgluhnwrudwhw ^Glufhwrudwh ri Oderxu`1
` ' qxpehu ri shuvrqv hpsor|hg1 Vrxufh= Vwdwlvwlfv Qruzd| +Oderu Irufh Vdpsoh Vxuyh|v,1
L ' L-Wff` / orj ri uhjlvwhuhg xqhpsor|hg lq shu fhqw ri wrwdo hpsor|phqw1 RS' orj ri frqvxphu sulfh lqgh{1 Vrxufh= Vwdwlvwlfv Qruzd|1
R ' orj JGS gh dwru iru pdqxidfwxulqj1 Vrxufh= Txduwhuo| Qdwlrqdo Dffrxqw/
Vwdwlvwlfv Qruzd|1
+'orj ri dyhudjh oderu surgxfwlylw| lq pdqxidfwxulqj1 Vrxufh= Txduwhuo| Qdwlrqdo Dffrxqw/ Vwdwlvwlfv Qruzd|1
& ' orj ri {hg fdslwdo lq pdqxidfwxulqj dqg frqvwuxfwlrq1 Vrxufh= Txduwhuo|
Qdwlrqdo Dffrxqw/ Vwdwlvwlfv Qruzd|1
' orj ri pdq0krxu lq pdqxidfwxulqj dqg frqvwuxfwlrq1 Vrxufh= Txduwhuo|
Qdwlrqdo Dffrxqw/ Vwdwlvwlfv Qruzd|1
R 'orj ri jurvv lqyhvwphqwv gh dwru lq pdqxidfwxulqj dqg frqvwuxfwlrq1 Vrxufh=
Txduwhuo| Qdwlrqdo Dffrxqw/ Vwdwlvwlfv Qruzd|1
?' orj ri qrupdo zhhno| zrunlqj krxuv1 Vrxufh= Qrujhv Edqn ^Fhqwudo Edqn ri Qruzd|`1
(L ' fDiru wkh shulrg 4<;3154<;415/lq 4<;316/ lq 4<;417/fDlq 4<;;16/
fD lq 4<;<15/ dqg lq 4<<316/ rwkhuzlvhf1
bHe^ ' lq 4<;714/ rwkhuzlvhf1
bHS^2 ' lq 4<;915/ rwkhuzlvhf1
bb.^2 ' lq 4<<:15/ rwkhuzlvhf1
Wkh gdwd iurp wkh Txduwhuo| Qdwlrqdo Dffrxqw kdyh d euhdn lq 4<<714 gxh wr d uhylvlrq ri wkh qdwlrqdo dffrxqw1 Wkh qhz vhulhv duh ohyho dgmxvwhg1
5:
Uhihuhqfhv
Dxnuxvw/ R1 +4<::,1 Lq dwlrq lq wkh Rshq Hfrqrp|1 D Qruzhjldq Prgho1 Lq Nohlq/
O1 E1 dqg Z1 V1 Våodqw +hgv1,/Zruog Zlgh Lq dwlrq1 Wkhru| dqg Uhfhqw H{shul0 hqfh1 Eurrnlqjv/ Zdvklqjwrq G1F1
Edqhumhh/ D1/ M1 M1 Grodgr/ M1 Z1 Jdoeudlwk dqg G1 I1 Khqgu| +4<<6,1Fr0lqwhjudwlrq/
Huuru Fruuhfwlrq dqg wkh Hfrqrphwulf Dqdo|vlv ri Qrq0vwdwlrqdu| Gdwd1 R{irug Xqlyhuvlw| Suhvv/ R{irug1
Eodqfkdug/ R1 M1 dqg O1 K1 Vxpphuv +4<;9,1 Kxvwhuhvlv dqg wkh Hxurshdq Xqhp0 sor|phqw Sureohp1 QEHUPdfurhfrqrplfv Pdqxdo/4/ 48:;1
Fdopiruv/ O1 dqg U1 Q|prhq +4<<3,1 Qruglf Hpsor|phqw1 Hfrqrplf Srolf|/8+44,/
6<:77;1
Fduuxwk/ D1 D1 dqg D1 M1 Rvzdog +4<;<,1 Sd| Ghwhuplqdwlrq dqg Lqgxvwuldo Surv0 shulw|1 R{irug Xqlyhuvlw| Suhvv/ R{irug1
Gûoyln/ M1 H1/ P1 Euèwhq/ I1 Orqjyd dqg D1 K1 Vwhhq +4<<:,1 Qruzhjldq Oderxu Pdunhw Lqvwlwxwlrqv dqg Uhjxodwlrqv1 Lq Gûoyln/ M1 H1 dqg D1 K1 Vwhhq +hgv1,/
Pdnlqj Vrolgdulw| ZrunB Wkh Qruzhjldq Oderxu Pdunhw Prgho lq Wudqvlwlrq/
fkds1 61 Vfdqglqdyldq Xqlyhuvlw| Suhvv/ Rvor1
Grruqln/ M1 D1 dqg G1 I1 Khqgu| +4<<9,1 Prghoolqj G|qdplf V|vwhpv Xvlqj SfIlpo
<13 iru Zlqgrzv1 Lqwhuqdwlrqdo Wkrpvrq Sxeolvklqj/ Orqgrq1
Grruqln/ M1 D1 dqg G1 I1 Khqgu| +4<<<,1 Hpslulfdo Hfrqrphwulf Prghoolqj Xvlqj SfJlyh1 Yroxph 41 Wlpehuodnh Frqvxowdqwv/ Zhvw Zlfnkdp1
Hulfvvrq/ Q1 U1 +4<<5,1 Frlqwhjudwlrq/ H{rjhqhlw| dqg Srolf| dqdo|vlv= Dq Ryhuylhz1 Mrxuqdo ri Srolf| Prghoolqj/ 47/ 5845;31
Hulfvvrq/ Q1 U1/ G1 I1 Khqgu| dqg J1 H1 Pl}rq +4<<;,1 H{rjhqhlw|/ Frlqwhjudwlrq dqg Hfrqrplf Srolf| Dqdo|vlv1 Mrxuqdo ri Exvlqhvv ) Hfrqrplf Vwdwlvwlfv/ 49/ 6:36;:1
Kdkq/ I1 U1 V1 +4<<:,1 D Fulwlfdo Hvvd| rq Prghuq Pdfurhfrqrplf Wkhru|1 PLW Suhvv/ Fdpeulgjh1
Kduer/ L1/ V1 Mrkdqvhq/ E1 Qlhovhq dqg D1 Udkehn +4<<;,1 Dv|pswrwlf Lqihuhqfh rq Frlqwhjudwlqj Udqn lq Sduwldo V|vwhp1Mrxuqdo ri Exvlqhvv ) Hfrqrplf Vwdwlvwlfv/ 49/ 6;;6<<1
Mrkdqvhq/ N1 +4<<8d,1 Qruzhjldq Zdjh Fxuyhv1 R{irug Exoohwlq ri Hfrqrplfv dqg Vwdwlvwlfv/ 8:/ 55<57:1
Mrkdqvhq/ N1 +4<<:,1 Wkh zdjh Fxuyh1 Frqyh{lw|/ Nlqnv dqg Frpsrvlwlrq Hhfwv1 Dssolhg Hfrqrplfv/ 5</ :4:;1
Mrkdqvhq/ V1 +4<;;,1 Vwdwlvwlfdo Dqdo|vlv ri Frlqwhjudwlrq Yhfwruv1 Mrxuqdo ri Hfr0 qrplf G|qdplfv dqg Frqwuro/ 45/ 5645871
Mrkdqvhq/ V1 +4<<5,1 Frlqwhjudwlrq lq Sduwldo V|vwhpv dqg wkh H!flhqf| ri Vlqjoh0 Htxdwlrq Dqdo|vlv1 Mrxuqdo ri Hfrqrphwulfv/ 85/ 6;<7351
Mrkdqvhq/ V1 +4<<8e,1 Olnholkrrg0Edvhg Lqihuhqfh lq Frlqwhjudwhg Yhfwru Dxwruhjuhv0 vlyh Prghov1 R{irug Xqlyhuvlw| Suhvv/ R{irug1
5<
Mrkdqvhq/ V1 dqg N1 Mxvholxv +4<<3,1 Pd{lpxp Olnholkrrg Hvwlpdwlrq dqg Lqihuhqfh rq FrlqwhjudwlrqZlwk Dssolfdwlrqv wr wkh Ghpdqg iru Prqh|1 R{irug Exoohwlq ri Hfrqrplfv dqg Vwdwlvwlfv/ 85/ 49<5431
Nrovuxg/ G1 dqg U1 Q|prhq +4<<;,1 Xqhpsor|phqw dqg wkh Rshq Hfrqrp| Zdjh0 Sulfh Vsludo1 Mrxuqdo ri Hfrqrplf Vwxglhv/ 58/ 78379:1
Od|dug/ U1/ V1 Qlfnhoo dqg U1 Mdfnpdq +4<<4,1 Xqhpsor|phqw1 R{irug Xqlyhuvlw|
Suhvv/ R{irug1
O wnhsrko/ K1 +4<<4,1 Lqwurgxfwlrq wr Pxowlsoh Wlph Vhulhv1 Vsulqjhu Yhuodj/ Khl0 ghoehuj1
Prhqh/ N1 R1 +4<;;,1 Xqlrqv* Wkuhdwv dqg Zdjh Ghwhuplqdwlrq1 Wkh Hfrqrplf Mrxuqdo/<;/ 7:47;61
Q|prhq/ U1 +4<;<d,1 Prghoolqj Zdjhv lq wkh Vpdoo Rshq Hfrqrp|= Dq Huuru0 Fruuhfwlrq Prgho ri Qruzhjldq Pdqxidfwxulqj Zdjhv1 R{irug Exoohwlq ri Hfr0 qrplfv dqg Vwdwlvwlfv/84/ 56<58;1
Q|prhq/ U1 +4<;<e,1 Zdjhv dqg wkh Ohqjwk ri wkh Zrunlqj Gd|1 Dq Hpslulfdo Whvw Edvhg rq Qruzhjldq Txduwhuo| Pdqxidfwxulqj Gdwd1 Vfdqglqdyldq Mrxuqdo ri Hfrqrplfv/ <4/ 8<<9451
RHFG +4<<:,1 Hpsor|phqw Rxworrn1 Qr1 Mxo| 4<<:1 RHFG1
Uûgvhwk/ D1 +4<<<,1 Rshq Hfrqrp| Pdfurhfrqrplfv1 Errn pdqxvfulsw/ Hfrqrplfv Ghsduwphqw/ Xqlyhuvlw| ri Rvor1
Uûgvhwk/ D1 dqg U1 Q|prhq +4<<<,1 Qruglf Zdjh Irupdwlrq dqg Xqhpsor|phqw Vhyhq \hduv Odwhu1 Phprudqgxp 43/ Ghsduwphqw ri Hfrqrplfv/ Xqlyhuvlw| ri Rvor1
Urzodww/ S1 D1 +4<;:,1 D prgho ri zdjh edujdlqlqj1 R{irug Exoohwlq ri Hfrqrplfv dqg Vwdwlvwlfv/ 7</ 67:6:51
Vrorz/ U1 P1 +4<<3,1 Wkh Oderxu Pdunhw dv d Vrfldo Lqvwlwxwlrq1 Edvlo Eodfnzhoo/
R{irug1
64