View original document

The full text on this page is automatically extracted from the file linked above and may contain errors and inconsistencies.

Working Paper Series

The Behavior of the Real Rate of Interest
over the Business Cycle

WP 00-09

Michael Dotsey
Federal Reserve Bank of Richmond
Brian Scholl

This paper can be downloaded without charge from:
http://www.richmondfed.org/publications/

Wkh Ehkdylru ri wkh Uhdo Udwh ri Lqwhuhvw ryhu wkh
Exvlqhvv F|foh
Plfkdho Grwvh| dqg Euldq Vfkroo

|

Ihghudo Uhvhuyh Edqn ri Ulfkprqg Zrunlqj Sdshu Qr1 330<
Dxjxvw 5333
MHO Qrv1 H83/ H6:/ F65/ F85
Nh|zrugv= uhdo udwh ri lqwhuhvw/ exvlqhvv f|fohv/ furvv fruuhodwlrqv/ vwdwlrqdulw|/ prqhwdu| srolf|

Devwudfw
Lq wklv sdshu zh grfxphqw uhdo udwh ehkdylru1 Zh gr wklv e| orrnlqj dfurvv d zlgh
ydulhw| ri frqvwuxfwhg uhdo udwh vhulhv1 Wkhvh vhulhv duh rewdlqhg e| xvlqj d qxpehu ri
glhuhqw phwkrgrorjlhv iru hvwlpdwlqj h{shfwhg lq dwlrq/ xvlqj vhyhudo glhuhqw sulfh
vhulhv/ dqg orrnlqj ryhu glhuhqw wlph shulrgv1 Wkh hylghqfh vxjjhvwv wkdw ryhu wkh
hqwluh vdpsoh shulrg/ uhdo udwh lqfuhdvhv iroorz rxwsxw lqfuhdvhv dqg wkh uhdo udwh lv
srvlwlyho| fruuhodwhg zlwk frqwhpsrudqhrxv rxwsxw1 Wkhvh uhvxowv duh jhqhudoo| frq0
wudu| wr wkrvh suhvhqwhg lq wkh olwhudwxuh1 Wkh uhvxowv/ krzhyhu/ duh vhqvlwlyh wr wkh
sulfh vhulhv xvhg1 Wkdw lv/ zh qg hylghqfh ri vshflfdwlrq xqfhuwdlqw|1 Zh dovr qg
wkdw uhdo udwh ehkdylru ydulhv ryhu glhuhqw vdpsoh shulrgv
 Zh

zlvk wr wkdqn Slhuuh Vduwh iru d qxpehu ri xvhixo vxjjhvwlrqv dqg Odzuhqfh Vdqwxffl iru h{shuw

uhvhdufk dvvlvwdqfh1 Zh kdyh dovr juhdwo| ehqhwwhg iurp pdq| khosixo glvfxvvlrqv zlwk Pdun Zdwvrq1 Wkh
ylhzv h{suhvvhg khuhlq duh wkh dxwkruv* dqg gr qrw uhsuhvhqw wkh ylhzv ri wkh Ihghudo Uhvhuyh Edqn ri
Ulfkprqg ru wkh Ihghudo Uhvhuyh V|vwhp1
| Ihghudo Uhvhuyh Edqn ri Ulfkprqg/ Plfkdho1Grwvh|Culfk1iue1ruj

4

4

Lqwurgxfwlrq

Zlwk wkh uhfhqw dgyhqw ri g|qdplf pdfurhfrqrplf prghov wkdw lpehg qrplqdo uljlglwlhv/
wkhuh kdv ehhq uhqhzhg lqwhuhvw lq rswlpdo prqhwdu| srolf| uxohv +Nlqj dqg Zropdq +4<<;,
dqg Zrrgirug +4<<<,,1 Rqh fhqwudo fkdudfwhulvwlf ri uxohv wkdw xvh dq lqwhuhvw udwh lqvwuxphqw
lv wkdw wkh qrplqdo lqwhuhvw udwh vkrxog uhvsrqg wr pryhphqwv lq wkh uhdo lqwhuhvw udwh1
Xqiruwxqdwho|/ wkh uhdo udwh ri lqwhuhvw lv xqrevhuydeoh lpso|lqj wkdw srolf| pdnhuv idfh
vhyhuh lpsohphqwdwlrq frqvwudlqwv1 Wkh fhqwudo edqn/ krzhyhu/ grhv srvvhvv lqirupdwlrq rq
wkh vwdwh ri wkh hfrqrp| dqg/ wkhuhiruh/ lq pdnlqj lqihuhqfhv derxw wkh uhdo udwh lw zrxog
eh khosixo wr nqrz krz pryhphqwv lq wkh uhdo udwh duh fruuhodwhg zlwk wkh exvlqhvv f|foh1
Lq wklv sdshu zh frqfhqwudwh rq wkh f|folfdo uhodwlrqvkls ehwzhhq wkh h{0dqwh uhdo udwh ri
lqwhuhvw dqg uhdo JGS1
Xqghuvwdqglqj wklv uhodwlrqvkls lv qrw rqo| ri vljqlfdqfh wr srolf|pdnhuv/ exw dovr wr
pdfurhfrqrplf wkhrulvwv1 Rqh fkdoohqjlqj duhd ri prgho ghyhorsphqw lv pdwfklqj prghohg
dvvhw sulfh ehkdylru wr gdwd1 Lq rughu wr gr vr/ rqh pxvw kdyh dq dffxudwh uhsuhvhqwdwlrq ri
dxwrfruuhodwlrq dqg furvv fruuhodwlrq ixqfwlrqv lq wkh gdwd1 Xqghuvwdqglqj wkh ehkdylru ri
wkh uhdo udwh ri lqwhuhvw kdv dovr ehhq d wrslf ri uhfhqw hpslulfdo lqwhuhvw1 Iru h{dpsoh/ Vwrfn
dqg Zdwvrq +4<<<, suhvhqw gdwd rq wkh furvv0fruuhodwlrqv ri wkh exvlqhvv f|foh frpsrqhqwv ri
Fkdlq0Zhljkwhg Jurvv Grphvwlf Surgxfw zlwk :3 pdfurhfrqrplf wlph vhulhv ryhu wkh 4<7:=40
4<<9=7 vdpsoh shulrg/ lqfoxglqj d <30gd| uhdo wuhdvxu| eloo lqwhuhvw udwh1

Wkhlu qglqjv

vxjjhvw wkdw wkh uhdo lqwhuhvw udwh lv zhdno| wr prghudwho| qhjdwlyho| fruuhodwhg zlwk erwk
wkh frqwhpsrudqhrxv revhuydwlrq ri rxwsxw dqg zlwk rxwsxw xs wr irxu txduwhuv ohdglqj
dqg odjjlqj wkh fxuuhqw txduwhu1 Nlqj dqg Zdwvrq +4<<9, suhvhqw vlplodu frqwhpsrudqhrxv
dqg ohdglqj qhjdwlyho| fruuhodwhg uhvxowv/ exw qg d srvlwlyh fruuhodwlrq ehwzhhq wkh fxuuhqw
uhdo udwh dqg sulru rxwsxw ryhu wkh 4<7<=404<<5=7 vdpsoh shulrg1

Dv vwdwhg lq Nlqj dqg

Zdwvrq/ wkh suhydlolqj phvvdjh iurp wklv uhfhqw zrun lv wkdw/ doo surplqhqw pdfurhfrqrplf
prghov111gr d srru mre dw pdwfklqj wkh lqwhudfwlrq ri uhdo dqg qrplqdo lqwhuhvw udwhv zlwk
uhdo dfwlylw|1
Ehiruh dffhswlqj wkhvh hpslulfdo uhvxowv/ lw zrxog eh ehqhfldo wr dqdo|}h wkh hpslulfdo
hylghqfh lq pruh ghwdlo1 Wkdw lv/ zh zlvk wr pruh ixoo| grfxphqw uhdo udwh ehkdylru/ ehiruh

5

dffhswlqj wkh hylghqfh lq wkhvh sdshuv dv d vw|ol}hg idfw1 Zh gr wklv e| orrnlqj dfurvv d
zlgh ydulhw| ri frqvwuxfwhg uhdo udwh vhulhv1 Wkhvh vhulhv duh rewdlqhg e| xvlqj d qxpehu
ri glhuhqw phwkrgrorjlhv iru hvwlpdwlqj h{shfwhg lq dwlrq/ xvlqj vhyhudo glhuhqw sulfh
vhulhv/ dqg orrnlqj ryhu glhuhqw wlph shulrgv1 Wkh hylghqfh vxjjhvwv wkdw ryhu wkh hqwluh
vdpsoh shulrg/ uhdo udwh lqfuhdvhv iroorz rxwsxw lqfuhdvhv dqg wkdw wkh uhdo udwh lv srvlwlyho|
fruuhodwhg zlwk frqwhpsrudqhrxv rxwsxw1 Wkhvh uhvxowv duh jhqhudoo| frqwudu| wr wkrvh
suhvhqwhg lq wkh suhylrxvo| flwhg hpslulfdo zrun1 Wkh uhvxowv/ krzhyhu/ duh vhqvlwlyh wr wkh
sulfh vhulhv xvhg1 Wkdw lv/ zh qg hylghqfh ri vshflfdwlrq xqfhuwdlqw|1 Zh dovr qg wkdw
uhdo udwh ehkdylru ydulhv ryhu glhuhqw vdpsoh shulrgv1
Wr frpsohwh rxu vwxg| ri wkh ehkdylru ri wkh h{0dqwh uhdo udwh ri lqwhuhvw zh dovr lqyhvwl0
jdwh lwv vwdwlrqdulw| surshuwlhv1 Zh gr wklv e| orrnlqj dw dxjphqwhg Glfnh|0Ixoohu vwdwlvwlfv
dqg e| xvlqj wkh Kruydwk dqg Zdwvrq +4<<8, surfhgxuh lq wkh fdvh zkhuh wkh frlqwhjudwlqj
yhfwru lv nqrzq1 Jlyhq wkh uhvxowv lq wkh olwhudwxuh lw lv qrw vxusulvlqj wkdw rxu frqfoxvlrqv
uhjduglqj wkh vwdwlrqdulw| ri wkh h{0dqwh uhdo udwh ghshqg rq wkh vdpsoh shulrg1

Wkhvh

frqfoxvlrqv dovr ghshqg rq wkh sulfh vhulhv dqg phwkrgrorj| xvhg iru fdofxodwlqj wkh uhdo
udwh1

5

Frqvwuxfwlrq ri Uhdo Udwhv

Lq wklv vhfwlrq zh ghvfuleh rxu ydulrxv phwkrgv ri frqvwuxfwlqj wkh uhdo udwh ri lqwhuhvw1 Zh
xvh yh edvlf phwkrgrorjlhv dqg irxu glhuhqw sulfh vhulhv1

514

Wkh Gdwd

Lq rughu wr hdvh frpsdulvrq ri rxu uhvxowv zlwk wkrvh suhvhqwhg e| wkh ehqfkpdun prgho
ri Vwrfn dqg Zdwvrq +4<<<,/ h{fhsw zkhuh rwkhuzlvh qrwhg/ gdwd lv wdnhq iurp wkh Vwrfn
dqg Zdwvrq +VZ, gdwd vhw14

Zh vhohfwhg irxu glhuhqw sulfh lqglfhv wr xvh dv phdvxuhv

ri lq dwlrq= wkh prqwko| Frqvxphu Sulfh Lqgh{ +FSL,> wkh prqwko| FSL h{foxglqj irrg
4

Wklv

gdwd

vhw

zdv

rewdlqhg

iurp

kwws=22zzz1zzv1sulqfhwrq1hgx=;32pzdwvrq21

6

Pdun

Zdwvrq*v

zhe

vlwh

dw

dqg hqhuj| iru doo xuedq frqvxphuv/ vrphwlphv uhihuuhg wr dv wkh Fruh FSL> wkh txduwhuo|
JGS lpsolflw sulfh gh dwru +JGSG,> dqg wkh txduwhuo| shuvrqdo frqvxpswlrq h{shqglwxuhv
lpsolflw sulfh gh dwru +SFH,15 Lq rxu iruhfdvwlqj htxdwlrqv/ zh dovr xvhg wkh VZ gdwd vhw*v
qrplqdo <30gd| wuhdvxu| eloo udwh +U6, dqg wkh xqhpsor|phqw udwh iru zrunhuv 49 |hduv dqg
roghu +X,1 Wkh VZ gdwd zdv ruljlqdoo| rewdlqhg iurp Flwledvh1

Txduwhuo| gdwd iru wkh

Fkdlq0Zhljkwhg Jurvv Grphvwlf Surgxfw +JGS, lv xvhg dv rxu rxwsxw vhulhv lq frpsxwlqj
wkh furvv0fruuhodwlrqv zlwk wkh uhdo udwh1

515

6

Hvwlpdwlqj H{0Dqwh Uhdo Udwhv

Wkh h{0dqwh uhdo udwh lv ghqhg wr eh wkh qrplqdo wuhdvxu| eloo udwh/ lq shulrg w/ ohvv djhqwv
h{shfwdwlrqv ri lq dwlrq iru shulrg w.4/ frqglwlrqdo rq wkh lqirupdwlrq wkdw ehfrphv dydlo0
deoh e| wkh hqg ri shulrg w1 Wklv lv frqvlvwhqw zlwk wkh qrwlrq wkdw wkh h{0dqwh uhdo udwh
vkrxog uh hfw wkh h{shfwhg jrrgv0ydoxhg uhwxuq rq dq dvvhw khog ryhu wkh pdwxulw| shulrg/
dv zhoo dv wkh uhqwdo udwh rq fdslwdo xvhg iru ixwxuh surgxfwlrq ri jrrgv1 Irupdoo|/

o| ' -

|

 .| dZ|n o

+4,

Iru h{dpsoh/ wkh prqwk ri Ghfhpehu uhdo lqwhuhvw udwh lv wkh Ghfhpehu qrplqdo udwh/ ohvv
wkh txduwhu rqh iruhfdvw ri lq dwlrq pdgh xvlqj lqirupdwlrq dydlodeoh wkurxjk Ghfhpehu 641
Lq jhqhudwlqj d vhulhv iru .| dZ |n o czh xvh vhyhudo glhuhqw hfrqrphwulf iruhfdvwlqj phwkrg0
rorjlhv dv zhoo dv sxeolvkhg iruhfdvwv surgxfhg e| GUL1 Frpslodwlrq ri wkh GUL uhdo udwh
vhulhv glg qrw uhtxluh wkh xvh ri dq hfrqrphwulf iruhfdvwlqj prgho rq rxu sduw/ exw udwkhu wkh
5

Zh dovr frqvwuxfwhg uhdo udwhv xvlqj wkh Lqyhvwphqw gh dwru dqg dq lpsolflw sulfh gh dwru iru sulydwh

JGS1
6
Wkh vhulhv pqxprqlfv lq Flwledvh dqg wkh Vwrfn dqg Zdwvrq gdwdvhw duh dv iroorzv=
FSL @ sxqhz/ JGS Gh dwru @ JGSG/ SFH Gh dwru @ JGF/ <30gd| w0eloo @ I\JP6/ Xqhpsor|phqw
Udwh @ OKXU/ Fkdlq0Zhljkwhg JGS @ JGST/ Rwkhu Gdwd zdv rewdlqhg iurp GUL*v/ Cxvfhq gdwdedvh/ dv
iroorzv= Fruh FSL @ FSLXCi)H +45242<;,/ Lqyhvwphqw Gh dwru @ SFZL +62572<<,/ Sulydwh JGS Lpsolflw
Gh dwru @ +JGS0J,2+JGS<5F0J<5F,/ wkdw lv wkh udwlr ri qrplqdo JGS ohvv jryhuqphqw h{shqglwxuhv ryhu
fkdlq0zhljkwhg JGS ohvv jryhuqphqw h{shqglwxuhv +62672<<,/dqg Sulydwh JGS @ JGSG<5F0J<5F1

7

pdqxdo pdwfklqj ri gdwd wr irup d txduwhuo| uhdo udwh vhulhv17 D txduwhuo| dyhudjh ri wkh
qrplqdo lqwhuhvw udwh iru wkh fxuuhqw txduwhu zdv pdwfkhg wr wkh vxevhtxhqw txduwhu iruhfdvw
pdgh dw wkh hqg ri wkh fxuuhqw txduwhu +wklv iruhfdvw xvhv wkh uvw prqwk ri wkh vxevhtxhqw
txduwhu dv wkh GUL frqwuro gdwh,1 Iru h{dpsoh/ wkh uvw txduwhu GUL uhdo udwh lv wkh dyhudjh
ri U6 iru Mdqxdu|/ Iheuxdu| dqg Pdufk/ ohvv wkh vhfrqg txduwhu lq dwlrq iruhfdvw pdgh dw
wkh hqg ri Pdufk +GUL*v Dsulo frqwuro gdwh,1 Wkh vhulhv iru erwk wkh GUL JGS gh dwru
dqg wkh GUL FSL uhdo udwhv ehjlq lq wkh irxuwk txduwhu ri 4<:618
51514

Lq dwlrq Iruhfdvwlqj Phwkrgv

Irxu glhuhqw hfrqrphwulf phwkrgv zhuh xvhg wr frpsxwh d klvwrulfdo vhulhv ri wkuhh0prqwk
lq dwlrq iruhfdvwv1

Rxu ehqfkpdun prgho lv dq lq0vdpsoh YDU1 Wkh lq0vdpsoh YDU/

krzhyhu/ lv qrw zkroo| dghtxdwh iru wkh sxusrvhv ri frqvwuxfwlqj dq h{0dqwh uhdo udwh1 Wklv
lv ehfdxvh wkh uhjuhvvlrq wv wkh prgho ryhu wkh ixoo vdpsoh ri dydlodeoh gdwd zkhq iruplqj
sdudphwhu hvwlpdwhv1 Wkxv wkh iruhfdvwhu lpsolflwo| xvhv lqirupdwlrq qrw dydlodeoh dw wkh
wlph ri wkh iruhfdvw1

Wklv/ lq wxuq/ uhgxfhv wkh srvvlelolw| ri shuvlvwhqw rqh0vlghg huuruv

wkdw frxog rffxu zkhq wkh hfrqrplf hqylurqphqw lv fkdqjlqj dv lw zrxog/ iru lqvwdqfh/ zlwk
d gudvwlf fkdqjh lq prqhwdu| srolf|1

Wr frxqwhu wkh ghflhqflhv lq wkh lq0vdpsoh prgho/

zh dovr frqvwuxfw lq dwlrq iruhfdvwv xvlqj= dq rxw0ri0vdpsoh YDU iruhfdvw zlwk d {hg vwduw
gdwh> dq rxw0ri0vdpsoh YDU iruhfdvw zlwk d uroolqj vwduw gdwh> dqg d wlph0ydu|lqj sdudphwhu
prgho xvlqj wkh Ndopdq Ilowhu1 Zh vkdoo qrz ghvfuleh hdfk ri wkh irxu surfhgxuhv lq wxuq1
Lq0Vdpsoh Iruhfdvwv 0 Wkh Ehqfkpdun Prghov 0 Lq0vdpsoh iruhfdvwv xvlqj wkh irxu
sulfh lqglfhv zhuh pdgh xvlqj htxdwlrqv lghqwlfdo wr wkrvh vshflhg e| Vwrfn dqg Zdwvrq
+4<<9,1 Wkh prgho wv d YDU ryhu wkh ixoo vdpsoh ri dydlodeoh gdwd iru hdfk vhulhv1 Wkhuhiruh/
wkh iruhfdvw lq d jlyhq shulrg xvhv lqirupdwlrq qrw dydlodeoh dw wkh wlph ri wkh iruhfdvw1 Wkh
edvlf YDU iruhfdvwlqj htxdwlrq lv=
7

Gdwd xvhg lq wkh frqvwuxfwlrq ri wkh uhdo udwh xvlqj GUL klvwrulfdo iruhfdvw gdwd iru wkh FSL dqg JGS

gh dwru zdv jhqhurxvo| surylghg e| Urehuw Khw}ho1 Ixuwkhu ghwdlo rq wklv vhulhv lv surylghg lq Gdulq dqg
Khw}ho +4<<8,1
8
Wkh JGS gh dwru vhulhv xvhg wkh Lpsolflw Sulfh Gh dwru +xs wr :2<5,/ wkh Il{hg0Zhljkw Gh dwru +;2<5
wkurxjk 42<9, dqg wkh Fkdlq0Zhljkwhg JGS Sulfh Lqgh{ +52<9 rqzdug,1

8

Z|n ' kf n

[

Eq   Z|   n

[

E   L|   n

3

'f

3

'f

[
EB   -

|3

 n 0|

+5,

'f

zkhuh L dqg - duh wkh xqhpsor|phqw udwhv dqg qrplqdo lqwhuhvw udwh vhulhv ghvfulehg
deryh1 Lq dwlrq/ Z|n lv jlyhq e| Z|n ' 733-oq+ |n| ,/ zkhq wkh sulfh lqgh{/ clv d prqwko|
vhulhv dqg e| 733-oq+ |n
,/ zkhq wkh sulfh lqgh{ lv d txduwhuo| vhulhv1 H{shfwhg lq dwlrq lv
|
mxvw wkh lq vdpsoh wwhg ydoxhv ri htxdwlrq +5,1

9

Rxw0ri0Vdpsoh YDU Iruhfdvwv Zlwk Il{hg dqg Uroolqj Vwduw Gdwhv 0 Wkh uvw
dowhuqdwlyh vhw ri iruhfdvwv zh frqvwuxfw xvh rxw0ri0vdpsoh YDU prghov/ zkhuh wkh iruhfdvw
lv surylghg e| vhohfwlqj wkh rughu ri wkh odj rshudwruv wkdw h{klelwv wkh ehvw rxw0ri0vdpsoh
iruhfdvwlqj shuirupdqfh xs wr wkh wlph wkdw wkh iruhfdvw lv pdgh1

Iruhfdvwlqj htxdwlrqv

duh edvhg rq +6, zkhuh zh ydu| wkh qxpehu ri odjv xvhg iru hdfk h{rjhqrxv yduldeoh e|
xvlqj d gdwd0ghshqgdqw odj vhohfwlrq surfhgxuh1 Wklv surfhgxuh doorzv iru wkh vhohfwlrq ri
ehwzhhq }hur dqg yh odjv ri wkh h{rjhqrxv yduldeohv lq pdnlqj hdfk shulrg*v iruhfdvw +d
vlqjoh frqvwdqw whup/ uhsuhvhqwlqj wkh phdq ri wkh ghshqgdqw yduldeoh/ lv dovr lqfoxghg lq
wkh vhw ri srvvleoh iruhfdvwlqj prghov,1

Wkh h{0dqwh lq dwlrq iruhfdvwv pd| eh irupdoo|

ghvfulehg e|=

.| dZ |n o ' >| n k| Eu  Z| n q | Eu  L| n  | Eu  -

|

+6,

Wkh ghjuhh ri wkh odj sro|qrpldov/ kEuc qEuc dqg Eu duh fkrvhq hdfk shulrg wr plqlpl}h
wkh Ed|hv Lqirupdwlrq Fulwhulrq +ELF,/ W-oq+UVV,.N-oq+W,/ zkhuh W lv wkh qxpehu ri re0
vhuydwlrqv/ UVV lv wkh uhvlgxdo vxp ri vtxduhv/ dqg N lv wkh qxpehu ri uhjuhvvruv1 Wkhuhiruh/
lq hdfk shulrg/ wkh iruhfdvwhu lv jlyhq wkh rssruwxqlw| wr vhohfw wkh ehvw shuiruplqj htxdwlrq
rxw ri d srro ri 9 YDU odj vshflfdwlrqv1
Il{hg vwduw gdwh yhuvlrqv ri wklv prgho pdnh xvh ri doo gdwd xs wr wkh wlph ri wkh iruhfdvw
lq frpsxwlqj wkh uhjuhvvlrq dqg uroolqj vwduw gdwh prghov xvh d uhjuhvvlrq hvwlpdwh edvhg rq
9

Uhjuhvvlrq uhvxowv duh dydlodeoh rq uhtxhvw1

9

wkh sulru whq |hduv ri gdwd1: Wkh uroolqj vwduw gdwh phwkrg lv xvhg wr dffrpprgdwh fkdqjhv
lq wkh hfrqrplf hqylurqphqw wkdw frxog pdnh edvlqj iruhfdvwv rq gdwd lq wkh idu sdvw d srru
surfhgxuh1 Zh ghyhors erwk d {hg dqg uroolqj vhulhv ri lq dwlrq iruhfdvwv iru hdfk sulfh
lqgh{/ wkh {hg vwduw gdwh prghov duh uhihuuhg wr dv wkh cuhfxuvlyh* prghov dqg wkh uroolqj
vwduw gdwh prghov duh whuphg wkh curoolqj* prghov1

Wlph0Ydu|lqj Sdudphwhu Iruhfdvwv 0 Rxu wlph ydu|lqj sdudphwhu +WYS, iruhfdvwlqj
phwkrg lv wkh xqlyduldwh wlph0ydu|lqj frh!flhqwv surfhgxuh ghvfulehg lq Vwrfn dqg Zdw0
vrq +4<<9,1 Wklv fodvv ri wlph ydu|lqj sdudphwhu prghov lv irxqg wr kdyh uhodwlyho| jrrg
iruhfdvwlqj surshuwlhv iru wkh uhdo lqwhuhvw udwh e| Ehngdfkh +4<<;,1 Wkh phwkrg doorzv wkh
iruhfdvwhu wr frqwlqxrxvo| xsgdwh klv iruhfdvwlqj prgho1 Dv zlwk wkh rxw0ri0vdpsoh YDU
prghov/ wkh iruhfdvwlqj h{huflvh doorzv iru wkh vhohfwlrq ri wkh odj vshflfdwlrq wkdw surylghv
wkh ehvw shuiruplqj iruhfdvw prgho lq hdfk shulrg1 Ohwwlqj w| @ +>| c k| c k6| , / zkhuh p


lv wkh odj ohqjwk dqg }| ' +4/ Z |  c c Z|
3

36

, c wkhq wkh WYS prgho lv jlyhq e|


Z| ' w| 5| n | c

+7,



zkhuh wkh sdudphwhu w| hyroyhv dffruglqj wr
w| ' w|

3



n | 

+8,

Wkh WYS phwkrg irupv dq h{shfwdwlrq ri w|nc w|n | c dqg wkhq xvhv wklv hvwlpdwhg
ƒ

sdudphwhu lq iruplqj wkh frqglwlrqdo iruhfdvw dw wlph w1 Iruhfdvw rswlpl}dwlrq rffxuv ryhu
vl{ glhuhqw odj vshflfdwlrqv/ p @ 3/11/81 Wkh yduldqfh0fryduldqfh pdwul{ ri x| lv jlyhq e|
 SA
b2 E
5 5|  dqg w| lv hvwlpdwhg e| d Ndopdq Ilowhu iru hdfk ydoxh ri b Wkh odj ohqjwk
A |' |
dqg b ydoxhv duh fkrvhq wr plqlpl}h wkh frqglwlrqdo suhglfwlyh ohdvw vtxduhv fulwhulrq/ SOV
S
@ A|J E+| +| |  2  Wr uhgxfh ghshqgdqfh rq lqlwldo frqglwlrqv/ wJ zdv vhw dw 453 iru prqwko|


ƒ 3

gdwd dqg 73 iru txduwhuo| gdwd vhulhv1
:

Iru erwk w|shv ri rxw0ri0vdpsoh YDU*v/ d exhu vhw htxdo wr wkh pd{lpxp qxpehu ri odjv zdv xvhg wr

pdnh wkh ELF vwdwlvwlfv frpsdudeoh1

Wkdw lv/ iru hdfk ri wkh 96 htxdwlrqv/ wkh uvw uhjuhvvlrq ehjlqv lq wkh

vl{wk shulrg diwhu wkh gdwd ehfrphv dydlodeoh/ uhjdugohvv ri wkh odj rshudwru wkdw zrxog eh fkrvhq iru wkh
uvw uhjuhvvlrq e| wkh ELF vwdwlvwlf1

:

51515

Lq dwlrq Iruhfdvwlqj Prgho Shuirupdqfh

Wdeoh 4 frpsduhv wkh iruhfdvwlqj shuirupdqfh ri wkh irxu prghov iru hdfk sulfh vhulhv1 Lw lv
fohdu wkdw wkh WYS prgho lv wkh ehvw rxw ri vdpsoh suhglfwru iru hdfk ri wkh sulfh vhulhv/
dqg hyhq rxw shuirupv wkh lq0vdpsoh suhglfwlrqv iru erwk wkh FSL dqg wkh Fruh FSL1 Wkhvh
qglqjv duh frqvlvwhqw zlwk erwk wkh sdudphwhu lqvwdelolw| qglqjv ri Vwrfn dqg Zdwvrq
+4<<9, zkr lqyhvwljdwh wkh FSL dqg Ehngdfkh*v +4<<<, dvvhuwlrq wkdw wkh udqgrp WYS
prgho lv d jrrg suhglfwru ri wkh uhdo lqwhuhvw udwh1;
Wdeoh 4 0 Lq dwlrq Iruhfdvwlqj Shuirupdqfh ri WYS Prghov
Lq0Vdpsoh YDUv
Shulrg

Rxw0ri0Vdpsoh YDUv WYS Prgho

V1H1H1 UPVH

UPVH

Uhfxuvlyh Uroolqj

6

FSL

8;=3:0<9=45 41<7

513<

5147

31<:

JGS gh

8<=360<9=37 4134

4164

415;

4149

SFH gh

8<=360<9=37 413<

4164

4167

4156

Fruh FSL 9:=3:0<9=45 41:4

41;5

5135

31;<

H{dplqdwlrq ri wkh uhdo udwh vhulhv

Lq wklv vhfwlrq zh ghvfuleh wkh ehkdylru ri rxu frqvwuxfwhg uhdo udwh vhulhv1 Wkh pdlq phvvdjh
zh krsh wr frqyh| lv wkdw dowkrxjk wkh ydulrxv uhdo udwh phdvxuhv duh kljko| fruuhodwhg wkhlu
ehkdylru lv idu iurp lghqwlfdo1
Wkh fruuhodwlrq dprqj h{shfwhg uhdo lqwhuhvw udwhv lv jlyhq lq Wdeohv 5d dqg Wdeohv
5e1 Wdeoh 5d frpsduhv fruuhodwlrqv xvlqj wkh glhuhqw sulfh lqglfhv kroglqj wkh hvwlpdwlrq
phwkrgrorj| {hg1 Wkh udqjhv iru wkh fruuhodwlrqv/ e| hfrqrphwulf iruhfdvwlqj phwkrgrorj|
duh= 31;7031<7 iru wkh lq0vdpsoh YDU phwkrgv> 31:93031<6 iru wkh uhfxuvlyh YDU> 3196031;9
;

Ehngdfkh*v qglqj derxw wkh iruhfdvwlqj shuirupdqfh ri wkh uhdo udwh lv htxlydohqw wr vwdwhphqwv derxw

wkh iruhfdvwlqj shuirupdqfh ri uhvshfwlyh prghov iru lq dwlrq1

Li uw @ Uw 0Hw ^ w.4 `/ zkhuh uw lv wkh uhdo

lqwhuhvw udwh dqg Uw lv wkh qrplqdo udwh/ wkhq d iruhfdvwhu suhglfwlqj wkh uhdo udwh lv dfwxdoo| suhglfwlqj
lq dwlrq/ vlqfh Uw lv nqrzq dw wkh wlph ri iruhfdvw1

;

iru wkh uroolqj YDU> dqg 31:6031<3 iru wkh wlph0ydu|lqj sdudphwhuv prghov1 Dovr/ 31;8 lv wkh
fruuhodwlrq ehwzhhq wkh uhdo udwhv edvhg rq wkh GUL FSL dqg JGS lq dwlrq iruhfdvwv1
Wdeoh 5e krogv wkh sulfh lqgh{ {hg dqg ydulhv wkh phwkrgrorj|1 Ryhudoo/ wkhvh vhulhv
whqg wr eh pruh kljko| fruuhodwhg wkdq wkrvh lq Wdeoh 5d1 Iru h{dpsoh/ wkh iuhtxhqf| ri
fruuhodwlrqv juhdwhu wkdq 31<3 lv dssur{lpdwho| wkuhh wlphv juhdwhu1 Wkh fruuhodwlrq ehwzhhq
wkh vhulhv udqjh iurp dv orz dv 31:4 wr dv kljk dv 31<:1 Iru hdfk jlyhq sulfh lqgh{/ wkhuh
lv d uhdvrqdeo| kljk fruuhodwlrq ehwzhhq wkh vhulhv frqvwuxfwhg e| wkh glhuhqw hfrqrphwulf
phwkrgv1 Fruuhodwlrqv ehwzhhq vhulhv frqvwuxfwhg e| wkh FSL udqjh iurp 31:8 wr 31;:1 Wkh
JGS gh dwru surgxfhv vhulhv wkdw duh fruuhodwhg ehwzhhq 31<3 dqg 31<8/ zkloh wkh SFH
gh dwru vhulhv glvsod|v fruuhodwlrqv ehwzhhq 31<3 dqg 31<:1 Wkh fruuhodwlrq dfurvv phwkrgv
iru uhdo udwhv edvhg rq wkh Fruh FSL udqjh iurp 31:4 wr 1<41 Ehfdxvh ri wklv kljkhu fruuhodwlrq
ehwzhhq uhdo udwhv ri wkh vdph sulfh lqgh{/ lw lv uhdvrqdeoh wr dvvhuw wkdw uhdo udwhv duh pruh
vhqvlwlyh wr wkh sulfh lqgh{ xvhg wkdq wr wkh frqvwuxfwlrq phwkrg1
Wdeoh 5d
Fruuhodwlrqv kroglqj phwkrg {hg
Ydu0lq
fsl

Ydu0uhfxuvlyh

Ydu0uroolqj

wys

fruh sfh jgsg fruh sfh jgsg

fruh sfh jsg

fruh sfh jgsg

1;9

1;4

1;8

fruh

1<5

1;8

1;8

1;7

sfh

1;:

1;5

1:9

1;3

1;4

1<7

1:;

1:5

197

196

1<6

1:<

1:6

1;4

1:9

1;9

1<3

Wdeoh 5e
Fruuhodwlrqv kroglqj sulfh vhulhv {hg
FSL
ydu0lq
uhfxuvlyh
uroolqj

Fruh

SFH

JGSG

uhf uroo wys uhf uroo wys

uhf uroo wys

uhf uroo wys

1;5

1<6

1<4

1:8

1;:

1;7

1;7
1::

1<4

1:8

1;;

1<3

1<7

1;8

1;6

1<4

1<:

1:4

1

1<4

1<3

1<8

1<7

1<8
1<6

Wkh jhqhudo sdwwhuqv ri wkh vhulhv duh revhuyhg e| h{dplqlqj wkh uhdo udwhv sorwwhg lq
Iljxuh 41 Iljxuh 4d04h sorwv hvwlpdwhv ri wkh uhdo lqwhuhvw udwh edvhg rq hdfk sulfh lqgh{
<

kroglqj wkh hvwlpdwlrq phwkrg frqvwdqw/ zkloh Iljxuhg 4i04l ghslfwv wkh uhdo udwh ri lqwhuhvw
kroglqj {hg wkh sulfh lqgh{ dqg doorzlqj wkh hvwlpdwlrq phwkrgrorj| wr ydu|1 Wkhuh lv d
fhuwdlq eurdg frqvlvwhqf| ehwzhhq wkh uhdo udwhv sorwwhg lq wkhvh jxuhv1 Hdfk vhulhv whqgv wr
eh orz dqg srvlwlyh gxulqj wkh 4<93*v dqg h{klelwv dq xszdug wuhqg wrzdug wkh hqg ri wkdw
ghfdgh1 Dovr/ wkh vhulhv whqg wr ehfrph erwk qhjdwlyh dqg pruh yrodwloh/ gxulqj wkh rqvhw ri
wkh lq dwlrqv ri wkh 4<:3*v1 Wkh vhulhv ulvh gudpdwlfdoo| ehjlqqlqj zlwk wkh glvlq dwlrqdu|
srolf| lqwurgxfhg e| wkh Ihg lq Rfwrehu ri 4<:<1 Vhyhudo ri wkh vhulhv vxujh wr pruh wkdq
hljkw shufhqw gxulqj wklv shulrg1 Wkh vhulhv wkhq ehjlq wr judgxdoo| ghfolqh iru wkh uhpdlqghu
ri wkh vdpsoh shulrg1 Wkh uhfhvvlrq ri wkh hduo| 4<<3v lv xqlirupo| fkdudfwhul}hg e| }hur ru
voljkwo| qhjdwlyh uhdo udwhv1
Dowkrxjk vxfk eurdg vlplodulwlhv h{lvw ehwzhhq wkh vhulhv/ lw lv hylghqw wkdw wkh ydulrxv
uhdo udwh phdvxuhv duh qrw lghqwlfdo1 Iru h{dpsoh/ wkh Fruh0FSL vhulhv sorwwhg lq Iljxuh 4l
fohduo| glhu e| dv pxfk dv irxu shufhqwdjh srlqwv gxulqj wkh hduo| 4<;3v1

Shukdsv pruh

vwulnlqj/ lq 4<;3 jxuhv 4d0g ghslfw uhdo udwhv wkdw duh erwk srvlwlyh dqg qhjdwlyh lq wkh
vdph txduwhu ghshqglqj rq wkh phwkrgrorj| xvhg1

7

Uhvxowv ri Exvlqhvv F|foh Ghfrpsrvlwlrq

Lq wklv vhfwlrq zh dqdo|}h wkh f|folfdo ehkdylru ri rxu ydulrxv uhdo udwh vhulhv1 Wr ghfrpsrvh
hdfk vhulhv lqwr lwv f|folfdo frpsrqhqw zh xvh wkh dssur{lpdwh edqg sdvv owhu ghyhorshg
e| Ed{whu0Nlqj +4<<7,1 Iroorzlqj Vwrfn dqg Zdwvrq +4<<<,/ zh suhvhuyh f|fohv lq wkh 9065
txduwhu iuhtxhqf| udqjh1< Zh glvsod| wkh f|folfdo ehkdylru ri rxu ydulrxv uhdo udwh phdvxuhv
lq jxuh 51
Vhyhudo jhqhudo wuhqgv duh revhuyhg lq wkh owhuhg uhdo udwh vhulhv1 Wkh uhdo udwhv whqg wr
ghfolqh gxulqj d uhfhvvlrq dqg erwwrp rxw zlwk ru vkruwo| diwhu wkh f|folfdo wurxjk1 W|slfdoo|/
wkh uhdo udwh shdnv vkruwo| sulru wr wkh rqvhw ri d uhfhvvlrq/ dowkrxjk wkhuh duh h{dpsohv ri
uhdo udwh shdnv wkdw gr qrw suhfhgh dq QEHU exvlqhvv f|foh shdn1 Wkh uhdo udwhv whqg wr
h{klelw wkhlu odujhvw lqfuhdvh zkhq wkh Ihghudo Uhvhuyh udlvhg lqwhuhvw udwhv gxulqj wkh hduo|
4<;3v dqg iru prvw vhulhv wkh odujhvw ghfuhdvh rffxuv lpphgldwho| sulru wr wkdw shulrg1
<

Ixuwkhu ghwdlov rq wklv phwkrg duh lq Vwrfn dqg Zdwvrq +4<<;,1

43

Djdlq/ lq qrwlqj wkh glhuhqfhv lq wkh vhulhv/ wkh vhulhv sorwwhg lq Iljxuh 5d0l vkrz pdq|
odujh glvsdulwlhv lq wkh uhdo udwhv1 Wkhuh duh vhyhudo lqvwdqfhv lq zklfk wkh owhuhg uhdo udwhv
pryh lq glhuhqw gluhfwlrqv1 Iru h{dpsoh/ wkh YDU0uhfxuvlyh phwkrg lq wkh vhfrqg sdqho
vkrzv h{dpsohv ri vxfk sdwwhuqv lq 4<9:/ 4<:: dqg djdlq durxqg 4<:<1

Lq wkh wklug dqg

irxuwk sdqhov/ vlplodu sdwwhuqv pd| eh revhuyhg lq 4<:: dqg 4<:</ iru wkh YDU0Uroo dqg
WYS phwkrgv/ uhvshfwlyho|1
Wxuqlqj wr wkh furvv0fruuhodwlrqv ri rxu vhulhv zlwk rxwsxw/ zh uvw hvwdeolvk wkh ehqfk0
pdun qglqjv ri Vwrfn dqg Zdwvrq +4<<<,/ uhsurgxfhg lq wdeoh 6143 Wklv vhulhv lv uhsuhvhqwhg
dv rxu FSL lq0vdpsoh YDU uhdo udwh1

Wdeoh 6 0 Uhvxowv Iurp Vwrfn ) Zdwvrq +4<<<,
Furvv Fruuhodwlrq ri Uhdo Udwhv zlwk Rxwsxw +u|c ||n& ,
Vhulhv

7

06

05

04

3

4

5

6

7

VZ 4<<: 03138 0313: 03145 0314< 0315; 03168 0316; 03169 0315<
Wkhlu uhvxowv lqglfdwh wkdw wkh uhdo lqwhuhvw udwh lv qhjdwlyho| frxqwhuf|folfdo ohdglqj dqg
frqwhpsrudqhrxvo| qhjdwlyho| fruuhodwhg zlwk rxwsxw1 Ixuwkhupruh/ wkh hylghqfh lq Vwrfn
lq Zdwvrq lqglfdwhv wkdw wkh uhdo udwh lv qhjdwlyho| frxqwhuf|folfdo odjjlqj1 Dv srlqwhg rxw
43

Wkh Nlqj dqg Zdwvrq +4<<9, uhvxowv duh dv iroorzv=

07

06

05

04

3

4

5

6

7

314< 314< 3143 0313: 0315: 03176 03185 03183 03174
Qrwh/ krzhyhu/ wkdw wkh Nlqj dqg Zdwvrq uhvxowv duh qrw vwulfow| frpsdudeoh wr rwkhuv suhvhqwhg lq wklv
vwxg|1 Iluvw/ wkhlu rxwsxw vhulhv/ lqvwhdg ri JGS/ lv Qhw Qdwlrqdo Surgxfw/ ohvv krxvlqj dqg iduplqj dqg
wkhlu sulfh lqgh{ lv d gh dwru iru wklv vhulhv1 Vhfrqg/ rxu gh dwru vhulhv iru erwk Jurvv Grphvwlf Surgxfw
dqg Shuvrqdo Frqvxpswlrq H{shqglwxuhv/ dqg Jurvv Grphvwlf Surgxfw duh fkdlq0zhljkwhg vhulhv/ zklfk rqo|
ehfdph dydlodeoh uhfhqwo|1 Ilqdoo|/ wkh Nlqj0Zdwvrq phwkrgrorj| lv txlwh glhuhqw lq wkdw wkh| xvh d YDU
prgho wr h{wudfw lq dwlrq dqg qrplqdo udwh ixqfwlrqv dqg wkhq frpsxwh wkh uhdo lqwuhvw udwhv1 Xvlqj wklv
phwkrg/ wkh| wkhq lqyhuvh Irxuulhu wudqvirup wkh gdwd wr h{dfwo| Edqg0Sdvv Ilowhu wkh vhulhv +rxu ES Ilowhu
lv dq dssur{lpdwlrq dv ghwdlohg lq Vwrfn dqg Zdwvrq +4<<:,,1 Iru frpsdulvrq/ zh frqvwuxfwhg dq lq0vdpsoh
dqg h{0srvw uhdo udwh xvlqj wkhlu gdwd1 Krzhyhu/ rxu uhvxowv vxjjhvw wkdw wkh dssur{lpdwh ES owhuhg gdwd
kdv d uhdvrqdeo| glhuhqw furvv fruuhodwlrq zlwk rxwsxw wkdq wkh h{dfwo| owhuhg vhulhv1 Zh dovr orrnhg dw
d phdvxuh ri sulydwh JGS/ zklfk h{foxghv jryhuqphqw vshqglqj1 Rplwwlqj jryhuqphqw vshqglqj glg qrw
phdqlqjixoo| fkdqjh rxu uhvxowv1

44

lq Nlqj dqg Zdwvrq +4<<9,/ h{lvwlqj pdfurhfrqrplf prghov gr qrw glvsod| wklv ehkdylru1
Exw dv qrwhg lq wkh suhylrxv vhfwlrq/ pdq| ri wkh dowhuqdwlyh vhulhv zh kdyh frqvwuxfwhg
glhu vxevwdqwldoo| iurp wklv ehqfkpdun uhdo udwh1

Lqghhg/ lw lv frqfhlydeoh wkdw wkh lq0

frpsdwlelolw| ehwzhhq wkh suhglfwlrqv ri ydulrxv wkhruhwlfdo prghov dqg wkh exvlqhvv f|foh
fruuhodwlrqv suhvhqwhg lq Wdeoh 6 lv dwwulexwdeoh wr hlwkhu wkh phwkrgrorj| xvhg lq frq0
vwuxfwlqj uhdo udwhv ru wr wkh sulfh vhulhv hpsor|hg1 Wkh Vwrfn dqg Zdwvrq uhdo udwh vhulhv
lv frqvwuxfwhg xvlqj wkh FSL dqg dq lq0vdpsoh YDU iruhfdvw ri lq dwlrq ryhu wkh shulrg
4<7:=404<<9=71 Vxfk lq0vdpsoh iruhfdvwlqj surgxfhv iruhfdvw huuruv zlwk d phdq ri }hur dqg
grhv qrw vlpxodwh wkh frqglwlrqv revhuyhg e| iruhfdvwhuv zkr pd| pdnh rqh0vlghg huuruv
gxulqj wlphv lq zklfk wkh vwdwh ri wkh zruog lv xqnqrzq1

Khqfh/ wkh Vwrfn dqg Zdwvrq

phwkrg pd| qrw surgxfh dq dffxudwh phdvxuh ri wkh h{0dqwh uhdo lqwhuhvw udwh1 Ixuwkhupruh/
wkh uholdqfh rq lq dwlrq iruhfdvwv edvhg rq d vlqjoh sulfh phdvxuhphqw/ qdpho| wkh FSL/ lv
sureohpdwlf1 Qrw rqo| lv wkh FSL wlph0vhulhv sodjxhg e| qxphurxv xqdgmxvwhg uhghqlwlrqv
ryhu wlph/ exw dovr lw lv xqfohdu zkdw sulfh phdvxuh lv xvhg e| pdunhw djhqwv zkhq iruplqj
udwlrqdo lq dwlrqdu| h{shfwdwlrqv1
Wkh Iljxuh 6 judskv ri fruu+u| c ||n& , uhsuhvhqw d urexvwqhvv fkhfn rq wkh Vwrfn dqg
Zdwvrq qglqjv1 Wkh uhvxowv duh vxevwdqwldoo| glhuhqw iurp wkrvh suhvhqwhg lq Wdeoh 61
Prvw qrwdeo|/ d srvlwlyh frqwhpsrudqhrxv fruuhodwlrq ehwzhhq rxwsxw dqg wkh uhdo udwh lv
revhuyhg iru wkluwhhq ri wkh hljkwhhq vhulhv h{dplqhg1 Dowkrxjk vhyhudo glhuhqw lq dwlrq
iruhfdvw phwkrgv zhuh dwwhpswhg/ lq jhqhudo/ glhulqj iruhfdvw phwkrgv gr qrw gudpdwlfdoo|
dowhu wkh furvv0fruuhodwlrq surshuwlhv ri wkh uhdo udwh vhulhv1 Wkh pdmru h{fhswlrqv wr wklv
revhuydwlrq duh wkh Fruh FSL uroolqj uhjuhvvlrq dqg wkh GUL FSL iruhfdvw lq Iljxuhv 6148
dqg 614: uhvshfwlyho|144
Uhvxowv/ krzhyhu/ zhuh vhqvlwlyh wr wkh sulfh lqgh{ xvhg1

Vhulhv frqvwuxfwhg xvlqj FSL

lq dwlrq iruhfdvwv whqg wr suhvhuyh wkh qhjdwlyh fxuuhqw fruuhodwlrq ri Vwrfn dqg Zdwvrq/
44

Qrwh/ krzhyhu/ wkdw wkh GUL FSL uhdo udwh zdv frqvwuxfwhg dv d txduwhuo| vhulhv dqg grhv qrw xvh d

frpsdudeoh lqirupdwlrq vhw wr wkh rwkhu FSL vhulhv1

Iru h{dpsoh/ wkh GUL vhulhv iru wkh uvw txduwhu lv

vlpso| wkh irxuwk txduwhu dyhudjh ri wkh qrplqdo wuhdvxu| eloo vhulhv/ ohvv wkh GUL Mdqxdu| frqwuro gdwh
iruhfdvw iru wkh uvw txduwhu1 Rwkhu FSL vhulhv frqvwuxfw prqwko| uhdo udwhv lq d vlplodu idvlrq/ zklfk duh
wkhq dyhudjhg wr irup wkh txduwhuo| vhulhv1 Khqfh> wkh lqirupdwlrq dydlodeoh wr wkh GUL iruhfdvwhu lv pxfk
juhdwhu vlqfh doo irxuwk txduwhu lqirupdwlrq lv nqrzq dw wkh wlph ri wkh iruhfdvw1

45

zkloh rwkhu sulfh lqgh{hv whqghg wr surgxfh srvlwlyh frqwhpsrudqhrxv furvv fruuhodwlrqv1
Ixuwkhu pdq| ri wkh vhulhv/ prvw qrwdeo| wkrvh xvlqj wkh JGS gh dwru/ surgxfhg srvlwlyh
fruuhodwlrqv ehwzhhq odjjhg rxwsxw dqg wkh uhdo udwh/ vxjjhvwlqj wkdw uhdo udwh lqfuhdvhv
iroorz rxwsxw lqfuhdvhv +pdnlqj wkh uhdo udwh d srvlwlyh odjjlqj vhulhv,1 Zlwk wkh JGS
gh dwru/ kljk uhdo udwhv duh dovr d uhdvrqdeo| vwurqj vljqdo ri dq lqfuhdvh lq rxwsxw dw ohdvw
rqh txduwhu lqwr wkh ixwxuh1 Vr xvlqj d eurdg phdvxuh ri sulfh ehkdylru jlyhv d yhu| glhuhqw
shuvshfwlyh ri wkh f|folfdo surshuwlhv ri wkh uhdo udwh iurp wkdw xvlqj wkh FSL145
Li rqh zhuh wr xvh d qduurzhu ylhz ri lq dwlrq/ wkh SFH gh dwru frxog dujxdeo| eh wkh
suhihuuhg vhulhv1 Dowkrxjk lw phdvxuhv d vlplodu edvnhw ri jrrgv/ lw lv d fkdlq zhljkwhg lqgh{
dqg vxhuv ohvv iurp phdvxuhphqw sureohpv wkdq wkh FSL ehfdxvh lw lv pruh frqvlvwhqwo|
ghqhg ryhu wkh vdpsoh shulrg1 Wkh f|folfdo ehkdylru ri wkh uhdo udwh frqvwuxfwhg xvlqj wkh
SFH gh dwru lv pxfk pruh vlplodu wr wkdw ri wkh uhdo udwh xvlqj wkh JGS gh dwru wkdq lw lv
wr wkh uhdo udwh xvlqj wkh FSL1 Uhvxowv iru wkh Fruh FSL duh odujho| vlplodu wr wkrvh rewdlqhg
zlwk wkh SFH gh dwru1 Zh vkdoo h{dplqh wkhvh glhuhqfhv lq pruh ghwdlo prphqwdulo|1
Lqvwdelolw| Ryhu Wkh Exvlqhvv F|foh 0 Dowkrxjk wkh fruuhodwlrqv suhvhqwhg wkxv idu
lq rxu dqdo|vlv jhqhudoo| vxssruw wkh k|srwkhvlv wkdw wkh uhdo udwh lv srvlwlyho| fruuhodwhg
zlwk rxwsxw/ wkh fruuhodwlrqv duh qrw vwdeoh ryhu wlph1 Wkh w|slfdo qdwxuh ri wklv lqvwdelolw|/
zklfk rffxuv dfurvv doo phwkrgv dqg sulfh vhulhv/ lv vkrzq lq Iljxuhv 71407145/ xvlqj wkh
WYS SFH gh dwru uhdo udwh vhulhv1 Wkhvh jxuhv suhvhqw wkh fruuhodwlrqv ri wkh owhuhg uhdo
udwhv vhulhv/ glylghg lqwr wkuhh vxevdpsohv= uvw txduwhu 4<8; wkurxjk irxuwk txduwhu 4<:6>
4<:7=404<;5=7> dqg 4<;6=404<<9=7146 Wkh euhdnsrlqw gdwhv zhuh fkrvhq wr lvrodwh d shulrg
45

Zh dovr shuiruphg wklv dqdo|vlv rq uhdo udwhv frqvwuxfwhg xvlqj wkh lpsolflw sulfh gh dwru iru lqyhvwphqw

h{shqglwxuh dqg sulydwh JGS1 Uhvxowv iru wkh odwwhu zhuh odujho| vlplodu wr wkrvh iru wkh JGS gh dwru
vhulhv1 Wkh lqyhvwphqw gh dwru surgxfhg pl{hg uhvxowv/ zlwk wkh uhfxuvlyh dqg WYS vhulhv urxjko| vlplodu
wr wkh SFH gh dwru ru wkh Fruh FSL/ exw wkh lq0vdpsoh dqg wkh uroolqj vhulhv surgxflqj qhjdwlyh fruuhodwlrqv
+dowkrxjk odujh vwdqgdug huuruv iru wkhvh fruuhodwlrqv pdnh wkh uhvxowv idluo| lqvljqlfdqw,1
46
Qrwh= iru doo uhvxowv suhvhqwhg lq wklv vxevhfwlrq/ zh kdyh xvhg wkh vdph uhdo udwh vhulhv dv lq wkh suhylrxv
vhfwlrq> wkdw lv/ zh kdyh qrw uhhvwlpdwhg wkh iruhfdvwlqj uhjuhvvlrqv edvhg rq wkh vdpsoh shulrg gdwd/ exw
kdyh vlpso| lvrodwhg wkh vdpsoh shulrgv1

46

wkdw lqfoxghv vhyhudo rlo vkrfnv lqgxfhg uhfhvvlrqv/ dqg orz fuhglelolw| prqhwdu| srolf|147
Wkh qrwlfhdeoh glhuhqfh wr eh revhuyhg lq wkhvh jxuhv lv wkdw gxulqj wkh 4<:7=404<;5=7
shulrg/ uhdo udwhv duh qhjdwlyho| fruuhodwhg zlwk frqwhpsrudqhrxv rxwsxw dqg wkdw uhdo udwh
ghfuhdvhv ohdg dqg iroorz rxwsxw lqfuhdvhv148 Wklv uhsuhvhqwv doprvw d wrwdo lqyhuvlrq ri wkh
uhodwlrq revhuyhg rxwvlgh ri wklv shulrg1 Wklv vwulnlqj revhuydwlrq/ fdq eh sduwldoo| dffrxqwhg
iru e| wkh grplqdqfh ri whpsrudu| rlo sulfh vkrfnv wkdw zhuh klwwlqj wkh hfrqrp| gxulqj
wklv shulrg1 Vxfk vkrfnv w|slfdoo| jhqhudwh d qhjdwlyh fruuhodwlrq ehwzhhq rxwsxw dqg wkh
uhdo lqwhuhvw udwh1
H{sodlqlqj wkh Glhuhqfhv lq Frqvxphu Sulfhv 0 D qdwxudo txhvwlrq wkdw dulvhv iurp
wkh deryh dqdo|vlv lv= zk| duh wkh uhvxowv iru wkh FSL uhdo udwh vhulhv vr pxfk glhuhqw iurp
wkrvh ri wkh SFH gh dwruB Diwhu doo/ wkh SFH gh dwru vhulhv lv frqvwuxfwhg xvlqj pxfk ri
wkh vdph udz gdwd dv wkh FSL dqg pdq| ri wkh glvdjjuhjdwhg lqglfhv kdyh vlplodu lq dwlrq
udwhv1
Wkh Ervnlq Frpplvvlrq Uhsruw kdv uhfhqwo| jdlqhg dwwhqwlrq iru vxppdul}lqj wkh sure0
ohpv dvvrfldwhg zlwk wkh phdvxuhphqw ri wkh frqvxphu sulfh lqgh{/ dq| ri zklfk frxog
srwhqwldoo| frqwulexwh wr wkh revhuyhg glhuhqfhv +vhh Ervnlq hw1 do 4<<9 dqg 4<<;,1

Lq

dgglwlrq/ ydulrxv qxdqfhv ri wkh frqvwuxfwlrq phwkrgrorj| duh dqrwkhu srwhqwldo vrxufh ri
glhuhqfh +Vhh EHD/ 4<;5/ Wdeoh 5/ s45 iru d sulru uhfrqfloldwlrq ri wkh sulfh lqglfhv,1 Vrph
ri wkhvh srwhqwldo sureohpv lqfoxgh=
41 Wkh zhljkwlqj ri frpsrqhqw lqglfhv 0 Wkh FSL lv frqvwuxfwhg dv d prglhg Odvsh|uhv
lqgh{/ zlwk d frqvxpswlrq exqgoh {hg dw edvh |hdu h{shqglwxuhv dv uhfrughg lq wkh Frq0
vxphu H{shqglwxuh Vxuyh|1

Dv wklv phwkrg grhv qrw dffrxqw iru vxevwlwxwlrq ehwzhhq

jrrgv/ lw w|slfdoo| ryhuvwdwhv wkh udwh ri lq dwlrq1 Wkh SFH gh dwru lv d vr0fdoohg Ilvfkhu
Lghdo Lqgh{ dqg doorzv iru vrph vxevwlwxwlrq ehwzhhq glhuhqw jrrgv149 Ehfdxvh glhuhqw
47

Iru frqflvhqhvv/ zh kdyh fkrvhq wr suhvhqw wkhvh uhvxowv iru wkh ndopdq owhu uhdo udwhv1 Uroolqj uhjuhvvlrq

uhvxowv zhuh idluo| vlplodu1
48
Wklv ehkdylru zdv h{klelwhg e| wkh SFH gh dwru vhulhv/ wkh Fruh FSL vhulhv dqg wkh FSL vhulhv1 Uhdo
udwhv frqvwuxfwhg xvlqj wkh JGS dqg wkh WYS phwkrg surgxfhg dq lqvljqlfdqwo| srvlwlyh frqwhpsrudqhrxv
fruuhodwlrq/ exw uroolqj uhjuhvvlrq uhvxowv iru wkh JGS vhulhv surgxfhg d qhjdwlyh fruuhodwlrq1
49
Vhh Prxowrq dqg Vwhzduw/ 4<<< dqg Uhlqvgrui/ 4<<< iru d suhflvh irupxodwlrq1

47

w|shv ri jrrgv/ gxudeohv yhuvxv qrq0gxudeohv iru lqvwdqfh/ kdyh glhulqj f|folfdo surshuwlhv/
wkh odfn ri vxevwlwxwlrq frxog lpso| glhuhqw f|folfdo ehkdylru lq wkhvh wzr vhulhv1
51 Qrq0frpsdudeoh lwhpv 0 Dowkrxjk/ iru wkh prvw sduw/ erwk wkh SFH dqg wkh FSL xvh
wkh vdph udz gdwd/ d qxpehu ri lwhpv duh qrw frqvlghuhg frpsdudeoh ehwzhhq wkh wzr lq0
glfhv1 Xqsxeolvkhg vwdwlvwlfv frpslohg e| Folqw PfFxoo| ri wkh Qdwlrqdo Lqfrph dqg Zhdowk
Glylvlrq ri wkh Exuhdx ri Hfrqrplf Dqdo|vlv hvwlpdwh wkdw derxw 5;1: shufhqw ri jrrgv lq0
foxghg lq wkh SFH gh dwru kdyh qr lghqwldeoh frxqwhusduw lq wkh FSL1 Ixuwkhu/ lwhpv lq wkh
FSL wkdw kdyh qr frpsdudeoh phdvxuh lq wkh SFH gh dwru dffrxqw iru derxw wzhoyh shufhqw
ri wkh uhodwlyh lpsruwdqfh ri wkh ryhudoo FSL1 Lwhpv duh ghhphg qrq0frpsdudeoh iru dq|
qxpehu ri uhdvrqv/ lqfoxglqj wkh phwkrg ri frqvwuxfwlrq +h1j1 iru fhuwdlq phglfdo h{shqvhv
lqsxw frvwv ri wkh surgxfhu duh xvhg,/ ghqlwlrq lqfrpsdwlelolwlhv +h1j1 wkh SFH gh dwru xvhv
qhw suhplxpv rq dxwr dqg khdowk lqvxudqfh/ zkhuhdv wkh FSL xvhv jurvv suhplxpv,/ qhz
lwhpv +zklfk duh pruh h{shglwlrxvo| lqfrusrudwhg lqwr wkh SFH,/ ru lwhpv lq rqh lqgh{ wkdw
duh qrw ghqhg lq wkh rwkhu +h1j1 iruhljq wudyho e| X1V1 uhvlghqwv deurdg lv lqfoxghg lq wkh
SFH,1
61 Xquhylvhg ghqlwlrqdo fkdqjhv 0 Zkhq dq dffrxqwlqj ru ghqlwlrqdo fkdqjh lv pdgh
wr wkh vhulhv/ wkh EHD uhylvhv wkh SFH gh dwru edfn lq wlph dv idu dv srvvleoh1 Wkh FSL/
krzhyhu/ lv ohiw xquhylvhg sulru wr wkh lqwurgxfwlrq ri wkh fkdqjh1
Zkloh doo ri wkh deryh lvvxhv fhuwdlqo| frqwulexwh wr wkh glhuhqfhv/ zh srvlw wkdw lw lv wklv
odvw phdvxuh wkdw lv ri sulph lpsruwdqfh lq uhfrqflolqj wkh qglqjv ri wkh FSL zlwk wkrvh ri
rwkhu sulfh phdvxuhv1 Vshflfdoo|/ zh vxjjhvw wkdw wkh EOV*v Mdqxdu| 4<;6 lqwurgxfwlrq ri d
uhqwdo htxlydohqfh phdvxuh ri krph rzqhuvkls ydoxh kdv d vxevwdqwldo lpsdfw rq wkh uhvxowv1
Zh pdnh wklv frqmhfwxuh ehfdxvh lw lv sulpdulo| lq wkh suh04<;6 vdpsoh shulrg wkdw wkh FSL
vhulhv glhuv iurp wkh rwkhu sulfh vhulhv dv looxvwudwhg lq Iljxuhv 714071451
Wr ixuwkhu looxvwudwh wkh lpsdfw ri wklv lqfrqvlvwhqf| lq wkh FSL wlph vhulhv/ zh frqvwuxfw
d uhdo udwh ri lqwhuhvw xvlqj d prglhg yhuvlrq ri wkh frqvxphu sulfh lqgh{1

Wkh vhulhv

xvhv wkh frqyhqwlrqdo FSL ghvfulehg iurp Mdqxdu| 4<;6 rqzdug dqg d prglhg FSL iurp
Mdqxdu| 4<9:0Ghfhpehu 4<;5/ zklfk uh hfwv wkh fxuuhqw wuhdwphqw ri uhqwdo htxlydohqfh lq
wkh klvwrulfdo vhulhv1
4:

4:

Ehfdxvh wkh prglhg vhulhv lv rqo| dydlodeoh iurp 4<9: rqzdug/

Wklv vhulhv/ whuphg wkh FSL [04/ zdv surylghg wr xv e| Nhq Vwxduw ri wkh EOV1

48

zh suhvhuyh wkh qxpehu ri revhuydwlrqv dydlodeoh iru dqdo|vlv e| frqvwuxfwlqj wkh lq dwlrq
iruhfdvwv xvlqj wkh lq0vdpsoh YDU phwkrg ghwdlohg lq Vhfwlrq 514; Dv rxu suhylrxv dqdo|vlv
vhhpv wr lqglfdwh/ wkh fkrlfh ri phwkrgrorj| kdv rqo| d olplwhg lpsdfw rq wkh exvlqhvv f|foh
fruuhodwlrqv1
Iljxuhv 814/ 816 dqg 817 sorw wkh owhuhg fruuhodwlrqv iru wkh uhdo udwhv frqvwuxfwhg e|
wkh irxu frqvxphu sulfh vhulhv= wkh SFH gh dwru> wkh Fruh FSL> wkh FSL> dqg wkh FSL0[4
vhulhv1 Iru hdvh ri frpsdulvrq/ wkh vdpsoh iru hdfk ri wkhvh txduwhuo| vhulhv lv uhvwulfwhg wr
wkh 4<9:=504<<9=7 shulrg1

Lpphgldwho|/ rqh qrwlfhv wkh gudvwlf lpsuryhphqw lq pdwfklqj

wkh SFH gh dwru uhdo udwh wkdw lv jdlqhg iurp xvlqj wkh [04 vhulhv lqvwhdg ri wkh FSL vhulhv1
Zkhuhdv wkh FSL vhulhv hvvhqwldoo| h{klelwv d prghudwho| qhjdwlyh fruuhodwlrq zlwk rxwsxw
iru wkh frqwhpsrudqhrxv/ ohdglqj dqg odjjlqj txduwhuv/ wkh [04 uhdo udwh/ e| frpsdulvrq/
lv vljqlfdqwo| qhjdwlyho| fruuhodwhg zlwk ixwxuh rxwsxw dqg lqvljqlfdqwo| fruuhodwhg zlwk
frqwhpsrudqhrxv dqg sulru shulrg rxwsxw1 Wkhvh uhvxowv vhhp wr dffrug pruh forvho| zlwk
wkrvh iru wkh SFH gh dwru uhdo udwh vhulhv wkdq wkrvh ri wkh FSL vhulhv1
D vhfrqg/ dqg pruh sx}}olqj revhuydwlrq/ dulvhv lq wkh frpsdulvrq ehwzhhq wkh uhdo
udwhv frqvwuxfwhg e| wkh SFH gh dwru/ wkh Fruh FSL dqg wkh FSL +Iljxuhv 8140816,1 Khuh
lw lv revhuyhg wkdw wkh Fruh FSL uhdo udwh surgxfhv uhvxowv pruh vlplodu wr wkh uhdo udwh
frqvwuxfwhg xvlqj wkh SFH gh dwru wkdq wr wkh FSL1 Wklv dsshduv wr lqglfdwh wkdw wkh
wuhdwphqw ri krxvlqj/ zkloh lpsruwdqw/ lv qrw wkh rqo| idfwru lq xhqflqj wkh rgg ehkdylru
ri wkh FSL dqg wkdw wkh irrg dqg hqhuj| vhfwruv dovr frqwulexwh wr lwv shfxoldulw|1
Iljxuhv 9140917 frpsduh wkh owhuhg fruuhodwlrqv zlwk rxwsxw ri wkh lq dwlrq udwhv iru
wkh irrg dqg hqhuj| vhfwruv ri wkh SFH dqg FSL1 Wkh fruuhodwlrqv iru wkh hqhuj| vhfwruv
gr qrw glhu vxevwdqwldoo|1

Krzhyhu/ wkh frqwhpsrudqhrxv fruuhodwlrq iru wkh FSL irrg

vhfwru ri 18; lv juhdwhu wkdq wkh SFH*v 31681 Suhvxpdeo| glhuhqfhv lq wkh zhljkwv rq wkhvh
vhfwruv dovr h{huw lq xhqfh rq wkh FSL*v uhvxowv/ hvshfldoo| gxulqj wkh 4<:3v zkhq wkh {hg
zhljkwlqj ri wkh FSL zrxog qrw doorz iru vxevwlwxwlrq dzd| iurp hqhuj| jrrgv dv wkh sulfh
ri rlo h{sorghg1
Wkhuhiruh/ lw dsshduv wkdw vrph frpelqdwlrq ri wkh wuhdwphqw ri krxvlqj/ irrg/ dqg
4;
Wkh lq0vdpsoh uhjuhvvlrq zdv uxq rq wkh prqwko| gdwd iru wkh shulrg 9:=380<:=361 Wkh U5 0edu ri wkh
uhjuhvvlrq lv 317;:839 dqg wkh vwdqgdug huuru ri wkh hvwlpdwh lv 41<:71

49

hqhuj| dffrxqw iru wkh glhuhqfhv ehwzhhq wkh FSL dqg wkh SFH/ exw fohduo| wkh| duh qrw
wkh hqwluh vwru|1

Lq oljkw ri rxu qglqjv/ rqh vkrxog suredeo| ylhz wkh FSL uhvxowv zlwk

vrph ghjuhh ri vnhswlflvp1

8

Vwdwlrqdulw| ri wkh Uhdo Udwh Vhulhv

Lq wklv vhfwlrq zh lqyhvwljdwh wkh vwdwlrqdulw| ri rxu ydulrxv frqvwuxfwhg h{shfwhg uhdo udwh
vhulhv1 D qxpehu ri dxwkru*v kdyh h{dplqhg wklv lvvxh dqg duulyhg dw ydu|lqj frqfoxvlrqv1
Wkh vwxglhv gr kdyh rqh hohphqw lq frpprq lq wkdw doo wkh vwdwlrqdulw| whvwv zhuh frqgxfwhg
rq h{0srvw uhdo udwhv xvlqj FSL lq dwlrq1 Iru h{dpsoh/ Plvknlq +4<<5, qgv hylghqfh wkdw wkh
uhdo udwh lv vwdwlrqdu| ryhu wkh vdpsoh shulrg 4<8604<<3 dqg wkh shulrg 4<8604<:<1 Krzhyhu/
Jdol +4<<5, ryhu wkh vdpsoh shulrg 4<88=4 wr 4<;:=6 fdqqrw uhmhfw d xqlw urrw lq wkh uhdo udwh/
exw dsshdov wr wkh orz srzhu ri wkh whvwv lq pdlqwdlqlqj wkh dvvxpswlrq ri vwdwlrqdulw| lq
wkh erg| ri klv hpslulfdo zrun1 Vlploduo|/ Nlqj/ Sorvvhu/ Vwrfn/ dqg Zdwvrq +4<<4, gr qrw
uhmhfw qrq0vwdwlrqdulw| ri wkh uhdo udwh ryhu wkh shulrg 4<87=404<;;=71
Lq wkh hpslulfdo zrun suhvhqwhg lq wdeoh 7/ zh hpsor| wkh dxjphqwhg Glfnh|0Ixoohu whvw
zkhuh wkh odj ohqjwk zdv fkrvhq e| wkh vwhs0grzq surfhgxuh vxjjhvwhg lq Qj dqg Shuurq
+4<<6,1 Zh dovr xvh wklv vwhs0grzq surfhgxuh iru ghwhuplqlqj wkh qxpehu ri odjjhg uvw
glhuhqfhv lq wkh YHFP wkdw lv hvwlpdwhg lq wkh Kruydwk dqg Zdwvrq +4<<8, surfhgxuh iru
wkh fdvh zkhuh wkh frlqwhjudwlqj yhfwru lv dvvxphg wr eh nqrzq1 Wkhlu uhvxowv lqglfdwh wkdw
lpsrvlqj d nqrzq frlqwhjudwlqj yhfwru/ zklfk iru xv lv +4/04,/ juhdwo| lpsuryhv wkh srzhu ri
wkh whvwv1
Dv rqh revhuyhv lq wkh wdeoh/ wkhuh lv qr fohdu fxw hylghqfh uhjduglqj wkh vwdwlrqdulw|
surshuwlhv ri wkh h{0dqwh uhdo udwh1 Iru wkh vkruwhu vdpsoh shulrgv/ zklfk duh fkrvhq vr wkdw
doo wkh phwkrgrorjlhv frxog eh lqfoxghg/ wkh uhvxowv duh qrw suhflvh1 Wkh dgi whvwv vhhpv wr
lqglfdwh wkdw wkh h{0dqwh uhdo udwh frqvwuxfwhg xvlqj h{shfwhg fsl lq dwlrq lv vwdwlrqdu|/ zkloh
wkh Kruydwk Zdwvrq +kz, whvwv lpso| wkdw wkh qrplqdo lqwhuhvw udwh dqg h{shfwhg lq dwlrq
dv phdvxuhg e| wkh JGS gh dwru duh frlqwhjudwhg1 Iru wkh h{shfwhg uhdo udwh xvlqj sfh
lq dwlrq/ rqo| wkh uhfxuvlyh phwkrgrorj| lqglfdwhv vwdwlrqdulw|/ zkloh xvh ri wkh Fruh0FSL
|lhogv vwdwlrqdulw| iru wkh uroolqj phwkrgorj|1 Iru orqjhu vdpsoh shulrgv wkdw h{dplqh wkh
4:

h{shfwhg uhdo udwh xvlqj wkh Ydu0lq phwkrg/ wkhuh lv d vwurqj lqglfdwlrq wkdw doo irxu phdvxuhv
ri wkh uhdo udwh duh vwdwlrqdu|1 Wkxv/ lq dqdo|}lqj wkh orqjhu uxq vwrfkdvwlf surshuwlhv ri
wkh uhdo udwh wkh uhohydqw phdvxuh ri lq dwlrq grhv qrw vhhp ryhuo| fuxfldo1 Ri lqwhuhvw/
krzhyhu/ lv wkh idfw wkdw wkh WYS phwkrgrorj|/ zklfk jhqhudoo| surgxfhv wkh ehvw iruhfdvwv
ri lq dwlrq/ dsshduv wr lqglfdwh wkdw doo phdvxuhv ri wkh uhdo udwh duh qrq0vwdwlrqdu| ryhu wkh
vkruwhu vdpsoh shulrg1
Wdeoh 7
Vwdwlrqdulw| whvwv
sulfh phdvxuh xvhg lq uhdo udwh vdpsoh shulrg whvw ydu0lq

uhfxuvlyh uroolqj

wys

fsl
sfh
jgsg
fruh

fsl
sfh
jgsg
fruh

4<8;=504<<9=7
4<8;=504<<9=7
4<8;=504<<9=7
4<9:=504<<9=7

4<7;=704<<9=7
4<7;=704<<9=7
4<7;=704<<9=7
4<8:=504<<9=7

kz

9168

:19<

<13:.

81<;

dgi

06135-

051;;.

0715<--

041;;

kz

;13<

;198.

:175

:169

dgi

0513;

051<:-

06195--

041<7

kz

<198.

4315;-

;16;.

:155

dgi

05159

05169

0515:

041<8

kz

:1<3

;146

461::-- :163

dgi

05136

05134

061<3--

kz

43169-

dgi

051<<-

kz

;1:7.

dgi

05197.

kz

;185.

dgi

0618;--

kz

<1:3.

dgi

0613<-

05173

./-/-- lqglfdwh uhmhfwlrq ri wkh qxoo k|srwkhvlv ri qr frlqwhjudwlrq iru wkh Kruydwk0Zdwvrq
whvw dqg uhmhfwlrq ri d xqlw urrw iru wkh dgi whvw dw wkh fulwlfdo ydoxhv ri 43(/ 8(/ dqg 4(/
uhvshfwlyho|1
4;

9

Frqfoxvlrq

Wklv sdshu kdv ehhq prwlydwhg e| d ghvluh wr ehwwhu xqghuvwdqg wkh wlph vhulhv surshuwlhv
ri wkh uhdo lqwhuhvw udwh1 Wklv ghvluh kdv ehhq vsxuuhg e| suhylrxv hpslulfdo qglqjv wkdw
duh lqfrqvlvwhqw zlwk wkhruhwlfdo prgho suhglfwlrqv dqg wkh uhohydqfh ri uhdo udwh ehkdylru
iru prqhwdu| srolf|1 Wr h{dplqh uhdo udwhv/ zh kdyh suhvhqwhg dq dqdo|vlv ri d pxowlwxgh ri
glhuhqw uhdo udwh phdvxuhv dqg frpsduhg wkhp zlwk wkh uhvxowv ri suhylrxv vwxglhv1
Shukdsv wkh vwurqjhvw revhuydwlrq wr eh pdgh lv wkdw uhdo udwh shdnv dqg wurxjkv dsshdu
wr kdyh dq hvwdeolvkhg uhodwlrqvkls zlwk exvlqhvv f|foh shdnv dqg wurxjkv1 Hyhu| srvw0zdu
exvlqhvv f|foh shdn iroorzv d shdn lq wkh uhdo udwh vhulhv dqg d uhdo udwh wurxjk rffxuv hlwkhu
zlwk ru vkruwo| diwhu d exvlqhvv f|foh wurxjk1

Wklv revhuydwlrq lv frqvlvwhqw dfurvv wkh

hljkwhhq vhulhv zh frqvwuxfwhg1
Idu pruh lpsruwdqw duh rxu qglqjv uhjduglqj wkh exvlqhvv f|foh fruuhodwlrqv ri uhdo udwhv1
Frqwudu| wr wkh qglqjv ri hduolhu dqdo|vhv/ zh eholhyh wkdw uhdo udwhv duh ehwwhu fkdudfwhul}hg
dv srvlwlyho| fruuhodwhg zlwk frqwhpsrudqhrxv rxwsxw1 Zh dovr qg hylghqfh wkdw uhdo udwh
lqfuhdvhv whqg wr iroorz rxwsxw lqfuhdvhv e| xs wr wzr txduwhuv1

Wkh fruuhodwlrqv duh

vhqvlwlyh wr wkh vdpsoh shulrg xvhg dqg pd| eh uhodwhg wr wkh qdwxuh ri vkrfnv klwwlqj wkh
pdfurhfrqrp|1 Wkhvh qglqjv duh jhqhudoo| frqvlvwhqw zlwk wkh suhglfwlrqv ri d vwdqgdug
Uhdo Exvlqhvv F|foh prgho1
Dv d e|0surgxfw ri shuiruplqj wklv dqdo|vlv/ zh kdyh suhvhqwhg d qxpehu ri dqfloodu|
uhvxowv1

Iluvw/ wkh udqgrp wlph ydu|lqj sdudphwhu prgho surgxfhv wkh ehvw iruhfdvwv ri

lq dwlrq ryhu wkh jlyhq vdpsoh shulrgv1

WYS prgho uhvxowv vrphwlphv hyhq rxwshuirup

lq0vdpsoh YDU prghov wkdw lpsolflwo| wdnh dffrxqw ri ixwxuh lqirupdwlrq lq pdnlqj d iruh0
fdvw1 Vhfrqg/ hfrqrphwulf iruhfdvwlqj phwkrgv gr qrw gudvwlfdoo| lpsdfw wkh exvlqhvv f|foh
fruuhodwlrq surshuwlhv ri wkh vhulhv1 Zlwk rqo| d ihz h{fhswlrqv/ uhvxowv iru wkh fruuhodwlrqv
ri uhdo udwhv jhqhudwhg xvlqj wkh WYS prgho ri lq dwlrq iruhfdvwv zhuh hvvhqwldoo| wkh vdph
dv wkrvh iru wkh lq0vdpsoh/ uhfxuvlyh dqg uroolqj YDUv1 Ilqdoo|/ uhjduglqj wkh xqxvxdo uhdo
udwh ehkdylru revhuyhg zlwk vhulhv frqvwuxfwhg zlwk wkh Frqvxphu Sulfh Lqgh{/ zklfk gli0
ihu vxevwdqwldoo| iurp wkrvh xvlqj wkh rwkhu wkuhh sulfh vhulhv/ zh eholhyh wkdw d vljqlfdqw
sruwlrq ri wklv ehkdylru lv gxh wr wkh zd| krxvlqj uhqw zdv lqfrusrudwhg lqwr wkh FSL sulru

4<

wr 4<;61 Pruhryhu/ zh vxjjhvw wkdw ghqlwlrqdo lqfrqvlvwhqf| lq wkh FSL pd| uhqghu lw dq
lqdssursuldwh vhulhv iru frqvwuxfwlqj uhdo udwhv1
Zlwk uhjdug wr wkh vwdwlrqdulw| ri wkh uhdo udwh rxu uhvxowv duh pl{hg1 Xvlqj lq0vdpsoh
iruhfdvwv ri lq dwlrq ryhu rxu orqjhu vdpsoh shulrg surgxfhv wkh ehvw hylghqfh iru wkh vwd0
wlrqdulw| ri wkh uhdo udwh/ exw wr ixoo| uhvroyh wklv lvvxh pd| uhtxluh d orqjhu gdwd vhw ru pruh
srzhuixo whvwv1

53

Uhihuhqfhv
^4` Dqwrqflf/ Pdgho|q/ Kljk dqg Yrodwloh Uhdo Lqwhuhvw Udwhv= Zkhuh Grhv wkh ihg Ilw
LqB Mrxuqdo ri Prqh|/ Fuhglw dqg Edqnlqj/ yro1 4;/ +Iheuxdu| 4<;9,/ ss1 4;05:1
^5` Ervnlq/ Plfkdho M1/ H Gxoehujhu/ U1 Jrugrq/ ]1 Julolfkhv/ dqg G1 Mrujhqvrq/ Wrzdug
d Pruh Dffxudwh Phdvxuh ri wkh Frvw ri Olylqj/ Ilqdo Uhsruw wr wkh Vhqdwh Ilqdqfh
Frpplwwhh/ Ghfhpehu 7/ 4<<91
^6` Ed{whu/ Pduldqqh dqg Urehuw J1 Nlqj/ Phdvxulqj Exvlqhvv F|fohv= Dssur{lpdwh
Edqg0Sdvv Ilowhuv iru Hfrqrplf Wlph Vhulhv/ pdqxvfulsw Mxqh 4<<71
^7` Ehngdfkh/ Edvpd/ Dowhuqdwlyh Dssurdfkhv wr Prgholqj Wlph Yduldwlrq lq wkh Fdvh ri
wkh X1V1 Uhdo Lqwhuhvw Udwh/ Frpsxwdwlrqdo Hfrqrplfv/ yro1 44/ +4<<;,/ ss1 740841
^8` bbbbbbbbbbbbbb/  Wkh Wlph0Ydu|lqj Ehkdylrxu ri Uhdo Lqwhuhvw Udwhv= D Uh0
Hydoxdwlrq ri wkh Uhfhqw Hylghqfh/ Mrxuqdo ri Dssolhg Hfrqrphwulfv/ yro1 47/ +4<<<,/
ss1 4:404<31
^9` Gdulq/ Urehuw/ dqg Urehuw O1 Khw}ho/  Dq Hpslulfdo Phdvxuh ri wkh Uhdo Udwh ri
Lqwhuhvw/ Ihghudo Uhvhuyh Edqn ri Ulfkprqg Hfrqrplf Txduwhuo|/ yro1 ;4/ +Zlqwhu
4<<8,/ ss1 4:07;1
^:` Jdol/ Mrugl/  Krz Zhoo Grhv wkh LV0OP Prgho Ilw Srvwzdu X1V1 Gdwd/ Txduwhuo|
Mrxuqdo ri Hfrqrplfv/ yro1 43:/ +Pd| 4<<5,/ ss1 :350:6;1
^;` Kruydwk/ Plfkdho W1N1/ dqg Pdun Z1 Zdwvrq/ Whvwlqj iru Frlqwhjudwlrq Zkhq Vrph
ri wkh Frlqwhjudwlqj Yhfwruv duh Suhvshflhg/ Hfrqrphwulf Wkhru|/ yro1 44/ +4<<8,/ ss1
<;7043471
^<` Nlqj/ Urehuw J1/ Fkduohv L Sorvvhu/ Mdphv K1 Vwrfn/ dqg Pdun Z1 Zdwvrq/ Vwrfkdvwlf
Wuhqgv dqg Hfrqrplf Ioxfwxdwlrqv/ Dphulfdq Hfrqrplf Uhylhz/ yro1 ;4/ +Vhswhpehu
4<<4,/ ss1 ;4<0;731
54

^43` Nlqj/ Urehuw J1/ dqg Pdun Z1 Zdwvrq/ Prqh|/ Sulfhv/ Lqwhuhvw Udwhv/ dqg wkh Exvl0
qhvv F|foh/ Wkh Uhylhz ri Hfrqrplfv dqg Vwdwlvwlfv/ +4<<9,/ ss1 680861
^44` Nlqj/ Urehuw J1 dqg Doh{dqghu O1 Zropdq/ Zkdw Vkrxog wkh Prqhwdu| Dxwkrulw|
Gr Zkhq Sulfhv duh Vwlfn|/ lq Prqhwdu| Srolf| Uxohv/ hg1 Mrkq E1 Wd|oru/ Qdwlrqdo
Exuhdx ri Hfrqrplf Uhvhdufk 4<<</ ss1 67<06<;1
^45` Plvknlq/ Iuhghulf V1/ Lv wkh Ilvkhu Hhfw UhdoB D Uhh{dplqdwlrq ri wkh Uhodwlrq0
vkls Ehwzhhq Lq dwlrq dqg Lqwhuhvw Udwhv/ Mrxuqdo ri Prqhwdu| Hfrqrplfv/ yro1 631
+Qryhpehu 4<<5,/ ss1 4<805491
^46` Prxowrq/ Euhqw U1 dqg Nhqqhwk M1 Vwhzduw/ Dq Ryhuylhz ri H{shulphqwdo X1V1 Frq0
vxphu Sulfh Lqgh{hv/ Mrxuqdo ri Exvlqhvv ) Hfrqrplf Vwdwlvwlfv/ yro1 4:/ +Dsulo 4<<<,/
ss1 47404841
^47` Qj/ Vhuhqd dqg Slhuuh Shuurq/ Xqlw Urrw Whvwv lq DUPD Prghov zlwk Gdwd0Ghshqghqw
Phwkrgv iru wkh Vhohfwlrq ri wkh Wuxqfdwlrq Odj/ Mrxuqdo ri wkh Dphulfdq Vwdwlvwlfdo
Dvvrfldwlrq/ yro1 <3/ +Pdufk 4<<8,/ ss1 59;05;41
^48` Uhlqvgrui/ P1E1 Xvlqj Vfdqqhu Gdwd wr Frqvwuxfw FSL Edvlf Frpsrqhqw Lqgh{hv/
Mrxuqdo ri Exvlqhvv ) Hfrqrplf Vwdwlvwlfv/ yro1 4:/ +Dsulo 4<<<,/ ss1 48504931
^49` Vwrfn/ Mdphv K1 dqg Pdun Z1 Zdwvrq/ Hylghqfh rq Vwuxfwxudo Lqvwdelolw| lq Pdfurh0
frqrplf Wlph Vhulhv Uhodwlrqv/ Mrxuqdo ri Exvlqhvv ) Hfrqrplf Vwdwlvwlfv/ yro1 47/
+Mdqxdu| 4<<9,/ ss1 440631
^4:` bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb/ Exvlqhvv F|foh Ioxfwxdwlrqv lq
XV Pdfurhfrqrplf Wlph Vhulhv/ Kdqgerrn ri Pdfurhfrqrplfv/ hg1 M1E1 Wd|oru dqg P1
Zrrgirug/ Hovhylhu Vflhqfh/ +4<<<,/ ss1 70971
^4;` Zrrgirug/ Plfkdho Rswlpdo Prqhwdu| Srolf| Lqhuwld/ pdqxvfulsw +Pdufk 4<<<,1

55

8

8

6

6

4

4

2

2

0

0

-2

-2

-4

-4
CORE-CPI
PCE-Def
CPI
GDP-Def

-6
-8

Percent

Percent

Figure 1a. Real rates method: VAR-in

-6
-8

-10

-10
47

52

57

62

67

72

77

82

87

92

97

Date

8

8

6

6

4

4

2

2

0

0

CORE-CPI
PCE-Def
CPI
GDP-Def

-2

Percent

Percent

Figure 1b. Real rates method: VAR-recursive

-2

-4

-4
47

52

57

62

67

72
Date

77

82

87

92

97

Figure 1c. Real rates method: VAR-roll

8

8

6

6

4

4

2

2

0

0

Percent

10

-2

-2

CORE-CPI
PCE-Def
CPI

-4

-4

GDP-Def
-6

-6
47

52

57

62

67

72
Date

77

82

87

92

97

Percent

10

10

10

8

8

6

6

4

4

2

2

0

0

-2

Percent

Percent

Figure 1d. Real rates method: TVP

-2

CORE-CPI
CPI

-4

-4

GDP-Def
PCE-Def

-6

-6
47

52

57

62

67

72

77

82

87

92

97

Date

10

10

8

8

6

6

4

4

2

2

0

0

-2

-2
CPI

-4

-4

GDP-Def

-6

-6
47

52

57

62

67

72
Date

77

82

87

92

97

Percent

Percent

Figure 1e. Real rates method: DRI-publ

Figure 1f. Real rates method: CPI

8

8

6

6

4

4

2

2

0

0

-2

-2

Percent

10

-4

-6

VAR-in

VAR-roll

DRI-publ

VAR-rec

Percent

10

-4

-6

TVP
-8

-8
47

52

57

62

67

72
Date

77

82

87

92

97

Figure 1g. Real rates method: GDP Deflator

6

6

4

4

2

2

0

0

-2

-2

-4

-4

Percent

8

-6
-8

VAR-in

VAR-roll

DRI-publ

VAR-rec

Percent

8

-6
-8

TVP
-10

-10
47

52

57

62

67

72
Date

77

82

87

92

97

Figure 1h. Real rates method: PCE-Deflator

8

8

6

6

4

4

2

2

0

0

-2

-2

Percent

10

VAR-in

-4

Percent

10

-4

VAR-roll
VAR-rec

-6

-6

TVP
-8

-8
47

52

57

62

67

72

77

82

87

92

97

Date

8

8

6

6

4

4

2

2

0

0

Percent

Percent

Figure 1i. Real rates method: Core CPI

-2

-2
VAR-in
VAR-roll
-4

-4

VAR-rec
TVP

-6

-6
47

52

57

62

67

72
Date

77

82

87

92

97

10

10

8

8

6

6

4

4

2

2

0

0

-2

-2

-4

-4
VAR-in
VAR-roll
VAR-rec
TVP

-6
-8

Percent

Percent

Figure 1j. Real rates method: INV-Deflator

-6
-8

-10

-10
47

52

57

62

67

72

77

82

87

92

97

Date

8

8

6

6

4

4

2

2

0

0

-2

-2

-4

-4

Percent

Percent

Figure 1k. Real rates method: GDP-Private

-6

-6

VAR-in
VAR-roll
VAR-rec
TVP

-8
-10

-8
-10
-12

-12
47

52

57

62

67

72
Date

77

82

87

92

97

Figure 2a. Real rates method VAR-in

6

4

Percent

2

0

-2

CPI
PCE-def
Output

-4

GDP-Def
Core-CPI

-6
47

52

57

62

67

Date

72

77

82

87

92

97

Figure 2b. Real rates method VAR-Recursive
4
3

Percent

2
1
0
-1
-2

CPI
PCE-def
Output

-3
-4

GDP-Def
Core-CPI

-5
47

52

57

62

67

Date

72

77

82

87

92

97

Figure 2c. Real rates method VAR-roll
4

Percent

2

0

-2

CPI
PCE-def
Output

-4

-6
47

52

57

62

67

Date

72

77

82

87

GDP-Def
Core-CPI
92

97

Figure 2d. Real rates method TVP
4

3

2

Percent

1

0

-1

-2

-3

CPI
PCE-def
Output

-4

GDP-Def
Core-CPI

-5
47

52

57

62

67

72

77

82

87

92

97

Date
Figure 2e. Real rates method DRI-publ
6
5
4

Percent

3
2
1
0
-1
-2

CPI
GDP-Def
Output

-3
-4
-5
47

52

57

62

67

72

Date

77

82

87

92

97

Figure 2f. Real rates method CPI
5
4
3
2

Percent

1
0
-1
-2
-3
-4

VAR-in
VAR-roll
DRI-publ

-5

VAR-rec
TVP
Output

-6
47

52

57

62

67

72

77

82

87

92

97

Date
Figure 2g. Real rates method GDP-def
4
3
2

Percent

1
0
-1
-2
-3

VAR-in
VAR-roll
DRI-publ

-4
-5

VAR-rec
TVP
Output

-6
47

52

57

62

67

Date

72

77

82

87

92

97

Figure 2h. Real rates method PCE-def
5
4
3
2

Percent

1
0
-1
-2
-3
-4

VAR-in
VAR-roll
Output

-5

VAR-rec
TVP

-6
47

52

57

62

67

72

77

82

87

92

97

Date
Figure 2i. Real rates method CORE-CPI
4
3
2

Percent

1
0
-1
-2
-3
-4

VAR-in
VAR-roll
Output

-5

VAR-rec
TVP

-6
47

52

57

62

67

72

Date

77

82

87

92

97