Walrasian and Marshallian stability - AgEcon Search

26
Zdoudvldq dqg Pduvkdooldq vwdelolw|= Dq dssolfdwlrq wr wkh Dxvwudoldq slj lqgxvwu| W Wlp Sxufhoo Ghsduwphqw ri Hfrqrplfv Urgqh| Ehdug Ghsduwphqw ri Hfrqrplfv Vwxduw PfGrqdog Ghsduwphqw ri Pdwkhpdwlfv Xqlyhuvlw| ri Txhhqvodqg Vw1 Oxfld 73:5 Dxvwudold 4< Mdqxdu| 4<<< Devwudfw Wkh Joredo Fruuhvsrqghqfh Sulqflsoh ri Vdpxhovrq vwdwhv wkdw joredo frp0 sdudwlyh vwdwlf uhvxowv krog hyhq lq wkh devhqfh ri dq lqlwldo vwdeoh htxloleulxp1 Wklv sulqflsoh kdv ehhq dssolhg lq uhfhqw vwxglhv ri lqwhuqdwlrqdo wudgh zlwk yduldeoh uhwxuqv wr vfdoh wr uhvroyh sdudgr{lfdo uhvxowv zlwk uhvshfw wr wkh U|0 ef}|qvnl dqg Vwroshu0Vdpxhovrq wkhruhpv1 Wdnd|dpd dqg Lgh kdyh vkrzq wkdw wkh sulqflsoh pd| rqo| dsso| li wkh lqlwldo htxloleulxp lv Pduvkdooldq vwdeoh1 Wklv kdv lpsolfdwlrqv iru hfrqrplf iruhfdvwlqj/ lq wkdw iruhfdvwv ri sulfhv dqg txdq0 wlwlhv pd| rqo| eh ydolg lq wkh suhvhqfh ri Pduvkdooldq vwdelolw|1 Zh hvwlpdwh d Yhfwru Huuru Fruuhfwlrq Prgho ri wkh Dxvwudoldq slj lqgxvwu| dqg h{dplqh wkh vwdelolw| ri wkh prgho lq erwk wkh Zdoudvldq dqg Pduvkdooldq vhqvh1 Zh qg wkdw sulru wr wkh lqwurgxfwlrq ri lpsruwv lq 4<<3 wkh idup jdwh pdunhw zdv fkdudfwhulvhg e| erwk Zdoudvldq dqg Pduvkdooldq vwdelolw| dqg diwhu 4<<3 lw zdv xqvwdeoh lq erwk vhqvhv1 Wklv vxjjhvwv wkdw pdunhw iruhfdvwv vlqfh 4<<3 qhhg wr eh ylhzhg zlwk pruh wkdq wkh xvxdo fdxwlrq1 Nh|zrugv= Pduvkdooldq dqg Zdoudvldq Vwdelolw|/ Yhfwru Huuru Fru0 uhfwlrq Prghov/ Lpsxovh Uhvsrqvh Ixqfwlrqv/ Vshhg ri Dgmxvwphqw/ Slj Lqgxvwu|1 MHO Fodvvlfdwlrq= F65/ F86/ F95/ I4:/ T4:

Transcript of Walrasian and Marshallian stability - AgEcon Search

Zdoudvldq dqg Pduvkdooldq vwdelolw|= Dq dssolfdwlrqwr wkh Dxvwudoldq slj lqgxvwu|W

Wlp SxufhooGhsduwphqw ri Hfrqrplfv

Urgqh| EhdugGhsduwphqw ri Hfrqrplfv

Vwxduw PfGrqdogGhsduwphqw ri Pdwkhpdwlfv

Xqlyhuvlw| ri TxhhqvodqgVw1 Oxfld 73:5

Dxvwudold

4< Mdqxdu| 4<<<

Devwudfw

Wkh Joredo Fruuhvsrqghqfh Sulqflsoh ri Vdpxhovrq vwdwhv wkdw joredo frp0sdudwlyh vwdwlf uhvxowv krog hyhq lq wkh devhqfh ri dq lqlwldo vwdeoh htxloleulxp1Wklv sulqflsoh kdv ehhq dssolhg lq uhfhqw vwxglhv ri lqwhuqdwlrqdo wudgh zlwkyduldeoh uhwxuqv wr vfdoh wr uhvroyh sdudgr{lfdo uhvxowv zlwk uhvshfw wr wkh U|0ef}|qvnl dqg Vwroshu0Vdpxhovrq wkhruhpv1 Wdnd|dpd dqg Lgh kdyh vkrzq wkdwwkh sulqflsoh pd| rqo| dsso| li wkh lqlwldo htxloleulxp lv Pduvkdooldq vwdeoh1 Wklvkdv lpsolfdwlrqv iru hfrqrplf iruhfdvwlqj/ lq wkdw iruhfdvwv ri sulfhv dqg txdq0wlwlhv pd| rqo| eh ydolg lq wkh suhvhqfh ri Pduvkdooldq vwdelolw|1 Zh hvwlpdwhd Yhfwru Huuru Fruuhfwlrq Prgho ri wkh Dxvwudoldq slj lqgxvwu| dqg h{dplqhwkh vwdelolw| ri wkh prgho lq erwk wkh Zdoudvldq dqg Pduvkdooldq vhqvh1 Zh�qg wkdw sulru wr wkh lqwurgxfwlrq ri lpsruwv lq 4<<3 wkh idup jdwh pdunhw zdvfkdudfwhulvhg e| erwk Zdoudvldq dqg Pduvkdooldq vwdelolw| dqg diwhu 4<<3 lw zdvxqvwdeoh lq erwk vhqvhv1 Wklv vxjjhvwv wkdw pdunhw iruhfdvwv vlqfh 4<<3 qhhg wreh ylhzhg zlwk pruh wkdq wkh xvxdo fdxwlrq1

Nh|zrugv= Pduvkdooldq dqg Zdoudvldq Vwdelolw|/ Yhfwru Huuru Fru0uhfwlrq Prghov/ Lpsxovh Uhvsrqvh Ixqfwlrqv/ Vshhg ri Dgmxvwphqw/Slj Lqgxvwu|1

MHO Fodvvl�fdwlrq= F65/ F86/ F95/ I4:/ T4:

WSdshu suhvhqwhg dw wkh 76o_ Dqqxdo Dxvwudoldq Djulfxowxudo dqg Uhvrxufh Hfrqrplfv Vrflhw|Frqihuhqfh1 Fkulvwfkxufk/ Qhz ]hdodqg1 53055 Mdqxdu| 4<<<1

41 Lqwurgxfwlrq

Lq d vhulhv ri uhfhqw sdshuv Lgh dqg Wdnd|dpd ^46`/ ^47`/ ^48`/ ^49` glvfxvv wkh lpsol0fdwlrqv iru wkh vwdelolw| ri pdunhw htxloleulxp lq lqwhuqdwlrqdo wudgh prghov fkdudf0whulvhg e| shuihfwo| preloh idfwruv exw lqfrusrudwlqj idfwru pdunhw glvwruwlrqv dqgyduldeoh uhwxuqv wr vfdoh1 Wkhvh vwxglhv uho| khdylo| rq wkh joredo fruuhvsrqghqfhsulqflsoh ri Vdpxhovrq ^6:`/ zklfk vwdwhv wkdw lq d frpsdudwlyh vwdwlf vhwwlqj/ hyhqli wkh lqlwldo htxloleulxp lv xqvwdeoh/ wkh uhvxowdqw htxloleulxp zloo eh vwdeoh1 Krz0hyhu/ lq wkh suhvhqfh ri idfwru pdunhw glvwruwlrqv/ lpshuihfw frpshwlwlrq dqg vfdohhfrqrplhv wkh joredo fruuhvsrqghqfh sulqflsoh grhv qrw lq jhqhudo krog 0 uhvxowlqjlq dssduhqwo| shuyhuvh Vwroshu0Vdpxhovrq dqg U|ef}|qvnl h�hfwv gxh wr wkh lqvwd0elolw| ri pdunhw htxloleulxp1 Lq rughu wr uhvroyh wkhvh gl!fxowlhv Lgh dqg Wdnd|dpdvkrz wkdw doo rqh qhhgv wr gr lv hvwdeolvk wkdw wkh pdunhw htxloleulxp lv Pduvkdooldqvwdeoh1 Li wkh pdunhw lv Pduvkdooldq vwdeoh wkhq Vdpxhovrq*v joredo fruuhvsrqghqfhsulqflsoh dssolhv/ hyhq li wkh pdunhw lv Zdoudvldq xqvwdeoh1 Li krzhyhu wkh pdunhw lvqrw Pduvkdooldq vwdeoh wkhq wkh joredo fruuhvsrqghqfh sulqflsoh qr orqjhu krogv dqgfrpsdudwlyh vwdwlf dqdo|vlv lv qr orqjhu ydolg1

Wklv lq wxuq kdv lpsolfdwlrqv iru plfurhfrqrplf uhirup dqg wudgh ghuhjxodwlrq lqdjulfxowxudo pdunhwv1 Wkhuh kdv ehhq uhfhqw ghedwh rq wkh uhodwlyh sur*v dqg frq*vri wudgh olehudolvdwlrq zlwk uhvshfw wr wkh Dxvwudoldq slj lqgxvwu|1 Wkh dujxphqw iruolehudolvdwlrq kdv ehhq edvhg rq wkh jdlqv iurp wudgh dujxphqw/ lq wkdw wkh uhgxfwlrqlq wudgdeoh frpprglw| sulfhv zloo ohdg wr d uhgxfwlrq lq frqvxphu sulfhv dqg wkxvdq lqfuhdvh lq frqvxphu zhoiduh1 Wkh uhdoorfdwlrq ri idfwruv iurp wkh suhylrxvo|surwhfwhg grphvwlf lqgxvwu| wr pruh h!flhqw lqgxvwulhv zloo uhvxow lq dq lqfuhdvh lqwkrvh lqgxvwulhv rxwsxw dqg d fruuhvsrqglqj vkliw lq wkh surgxfwlrq srvvlelolw| iurqwlhu1

Jhqhudo htxloleulxp dqdo|vlv ri wudgh uhirup kdv kljkoljkwhg wkh jdlqv iurp wudghedvhg rq prghov fkdudfwhulvhg e| frqvwdqw uhwxuqv wr vfdoh dqg shuihfw frpshwlwlrq+Vhh iru h{dpsoh ^6;`,1 Hyhq lq wkh suhvhqfh ri lpshuihfw frpshwlwlrq dqg yduldeohuhwxuqv wr vfdoh jdlqv iurp wudgh pd| eh srvvleoh +exw qrw fhuwdlq, ^55`/ ^53`1 Wkhvljql�fdqfh ri wkh zrun ri Lgh dqg Wdnd|dpd lv wkdw wkhvh uhvxowv duh edvhg rq wkhdvvxpswlrq ri Pduvkdooldq vwdelolw|/ hyhq lq wkh suhvhqfh ri Zdoudvldq lqvwdelolw|1

Hpslulfdoo|/ wkhuh lv hylghqfh wr vxjjhvw wkdw doo uhdo v|vwhpv duh lq idfw Pdu0vkdoo vwdeoh dqg Qhdu| ^57/ 58` vkrzv wkdw wkh Vwroshu0Vdpxhovrq dqg U|ef}|qvnlsdudgr{hv duh qhyhu revhuyhg lq uhdolw|1 Wklv uhvxow dsshduv wr krog lq d orqj0uxqhtxloleulxp vhwwlqj exw lq wkh suhvhqfh ri vwuxfwxudo fkdqjh wkhuh lv d txhvwlrq rizkhwkhu wkh vkruw0wr0phglxp0uxq htxloleulxp lv lq idfw Pduvkdooldq vwdeoh dqg frq0vhtxhqwo| zkhwkhu wkh Vwroshu0Vdpxhovrq dqg U|ef}|qvnl h�hfwv duh shuyhuvh1

Dv vwdwhg deryh/ wklv jdlq iurp wudgh h�hfw lv frqwlqjhqw rq wkh xqghuo|lqj htxlole0ulxp ehlqj Pduvkdooldq vwdeoh1 Lw lv ri lqwhuhvw/ wkhuhiruh/ wr vhh li wkh pdunhwv xqghuh{dplqdwlrq duh lq idfw fkdudfwhulvhg e| Pduvkdooldq dqg2ru Zdoudvldq vwdelolw|1 Lqwklv sdshu zh h{dplqh wklv txhvwlrq xvlqj gdwd iurp wkh Dxvwudoldq slj lqgxvwu|1

Lq vhfwlrq 5 zh glvfxvv wkh gl�huhqfh ehwzhhq Zdoudvldq dqg Pduvkdooldq vwdelolw|ehiruh uhfrqflolqj wkh frpsdudwlyh vwdwlf qrwlrq ri pdunhw htxloleulxp dqg lwv dvvrfl0dwhg vwdelolw| zlwk wkh vwdelolw| ri hfrqrphwulf v|vwhpv lq vhfwlrq 61 Zh wkhq frqgxfwdq hfrqrphwulf dqdo|vlv ri wkh vwdelolw| ri wkh Dxvwudoldq slj lqgxvwu| lq vhfwlrq 71Zh frqfoxgh lq vhfwlrq 81

5

51 Edfnjurxqg rq Zdoudvldq dqg Pduvkdooldq Vwdelolw|

Wkh klvwru| ri Zdoudvldq dqg Pduvkdooldq vwdelolw| lv iudxjkw zlwk gl!fxowlhv/ huuruvdqg frqixvlrq1 Wkh wh{werrn/ ru frqwhpsrudu|/ gh�qlwlrq ri wkh gl�huhqfh ehwzhhqwkh wzr vwdelolw| frqfhswv glvwlqjxlvkhv wkhp lq whupv ri zkhwkhu wkh dgmxvwphqw+wåwrqqhphqw, surfhvv lv gh�qhg lq whupv ri sulfh +Zdoudv, ru txdqwlw| +Pduvkdoo,1Wklv lv/ krzhyhu/ qrw wkh zkroh vwru|1

Qhzpdq ^67/ s1 43:` kdv vwdwhg wkh gl�huhqfh ehwzhhq Zdoudvldq dqg Pduvkdooldqvwdelolw|/ dqg wkh frqixvlrq dulvlqj lq wkh plqgv ri vrph Qhrfodvvlfdo dxwkruv frqfhuq0lqj wkh lqwhuuhodwlrqvkls ehwzhhq wkh wzr frqfhswv/ pd| eh dwwulexwhg wr wkh idloxuhri Qhrfodvvlfdo hfrqrplvwv wr dssursuldwho| glvwlqjxlvk ehwzhhq h{fkdqjh dqg sur0gxfwlrq lq wkh vdph fohdu zd| wkdw fodvvlfdo hfrqrplvwv kdg grqh> Zdoudvldq vwdelolw|lv dvvrfldwhg zlwk wkh wkhru| ri sxuh h{fkdqjh dqg Pduvkdooldq vwdelolw| lv dvvrfldwhgzlwk wkh wkhru| ri surgxfwlrq1

D jrrg h{srvlwlrq ri wkh frqwhpsrudu| ylhz lv surylghg e| Wdnd|dpd ^66`1 Wdnd|dpdvkrzv wkdw wkh vwdelolw| ri d pdunhw fdq eh h{suhvvhg lq hlwkhu sulfh ru txdqwlw| gh0shqghqw irup

�R ' & d( ER E|��3 7 ER E|��o

�̂ ' �& d( E^ E|��3 7 E^ E|��o

zkhuh �R _R_|/ wkh h{fhvv ghpdqg lv jlyhq e| ( ER E|�� 3 7 ER E|�� c dqg & : f lv wkh

vshhg ri dgmxvwphqw ri wkh pdunhw> vlploduo| iru wkh txdqwlw| ghshqghqw irup ^66/s1 5<:`41 Wkhvh wzr vwdelolw| frqfhswv +sulfh yhuvxv txdqwlw| ghshqghqw, kdyh ehhqvhhq lq wkh olwhudwxuh dv uhihuulqj wr Zdoudvldq dqg Pduvkdooldq vwdelolw| uhvshfwlyho|1Krzhyhu/ dv Qhzpdq ^67` srlqwv rxw/ Zdoudvldq vwdelolw| uhihuv wr wkh vwdelolw| riwkh h{fkdqjh surfhvv 0 dq lqvwdqwdqhrxv/ wåwrqqhphqw surfhvv 0 zkhuhdv Pduvkdooldqvwdelolw| uhihuv wr wkh vwdelolw| ri wkh surgxfwlrq surfhvv 0 d vkruw0uxq surfhvv1 Dvvxfk/ wkh wzr phdvxuhv ri vwdelolw| fdqqrw eh frpsduhg lq wkh vdph glphqvlrq1 Wkhvhylhzv pd| eh vxppdulvhg lq Wdeoh 5141

Wdeoh 514= Dowhuqdwlyh frqfhswv ri vwdelolw|Pduvkdooldq Zdoudvldq

Ruljlqdo ylhz Vkruw0Uxq wåwrqqhphqwFrqwhpsrudu| ylhz Txdqwlw| Sulfh

Wdnd|dpd jrhv ixuwkhu ^66`/ dqg vxjjhvwv wkdw erwk Zdoudv dqg Pduvkdoo uhdolvhgwkh wlph vfdoh gl�huhqfh ehwzhhq surgxfwlrq dqg h{fkdqjh dqg erwk txdqwlw| dqgsulfh dgmxvwhg vlpxowdqhrxvo| lq wkh wzr surfhvvhv1 Wkdw lv/ lq wkh Pduvkdooldq ylhzri surgxfwlrq wkhuh zdv d frqyhujhqfh ri erwk sulfhv dqg txdqwlwlhv wr wkh pdunhwhtxloleulxp lq wkh vkruw uxq ^56/ ss1 678/67:` dqg lq wkh Zdoudvldq ylhz ri h{fkdqjhwkhuh zdv d frqyhujhqfh ri erwk sulfhv dqg txdqwlwlhv wr wkh pdunhw htxloleulxp yldd wåwrqqhphqw surfhvv ^6</ s1 837`1

Wdnd|dpd ^66` glvfxvvhv wkh wåwrqqhphqw surfhvv dv hqylvdjhg e| Zdoudv lq wkdwwkh surfhvv lv vhhq dv dq dgmxvwphqw lq sulfhv ehwzhhq ex|huv dqg vhoohuv ehiruh dq|dfwxdo wudgh kdv wdnhq sodfh1 Wkh wåwrqqhphqw surfhvv fdq eh ylhzhg dv vlpxowd0qhrxv ru vxffhvvlyh ehwzhhq pdunhwv1 Zdoudv hqylvdjhg wkh vxffhvvlyh fdvh zkhuh

4Qrwh wkh txdqwlw| ghshqghqw irup uhdoo| lqyroyhv dq dexvh ri qrwdwlrq dv (E^� uhdoo| lv wkhlqyhuvh ixqfwlrq ri (ER� dqg vlploduo| iru 7E��1

6

sulfhv zhuh dgmxvwhg rqh pdunhw dw d wlph xqwlo doo pdunhwv zhuh lq htxloleulxp1 Liwkh pdunhwv frqyhujh wr htxloleulxp wkhq wkh wåwrqqhphqw surfhvv lv vhhq dv ehlqjvwdeoh1 Wdnd|dpd dovr glvfxvvhv wkh qrq0wåwrqqhphqw surfhvv/ zkhuh wkh lqwhuph0gldwh wudqvdfwlrqv dqg dfwxdo sxufkdvhv fkdqjh wkh h{fhvv ghpdqg ixqfwlrq1 Li wkhh{fhvv ghpdqg ixqfwlrq lv fkdqjhg dw hyhu| srlqw lq wlph gxh wr dfwxdo sxufkdvhvwdnlqj sodfh wkhq wkh vwdwlf qrwlrq ri vwdelolw| qr orqjhu krogv1 Wdnd|dpd qrwhv wkdwlq wklv fdvh wkh hyhqwxdo htxloleulxp uhdfkhg zloo ghshqg rq wkh wlph sdwk ri wkhwåwrqqhphqw surfhvv1

Wkh olqn ehwzhhq frpsdudwlyh vwdwlf dqg g|qdplf vwdelolw| dqdo|vlv zdv surylghge| Vdpxhovrq*v fruuhvsrqghqfh sulqflsoh^6:/ s1 58;`1 Vdpxhovrq vkrzhg wkh flufxp0vwdqfhv xqghu zklfk Klfnvldq qrwlrqv ri vwdelolw| frxog eh htxlydohqw wr klv g|qdplfdssurdfk1 Klfnv qrwlrq ri vwdelolw| ^69` glvwlqjxlvkhv ehwzhhq wzr w|shv ri vwdelolw|/lpshuihfw dqg shuihfw vwdelolw|/ zkhq wdnlqj d frpsdudwlyh0vwdwlf jhqhudo htxloleulxpdssurdfk1 D pdunhw zdv gh�qhg dv ehlqj lpshuihfwo| vwdeoh li wkhuh lv vwdelolw|lq wkdw pdunhw zlwk doo rwkhu pdunhwv khog lq htxloleulxp1 Iroorzlqj iurp wklv/ wkhhfrqrp| zdv gh�qhg dv ehlqj lpshuihfwo| vwdeoh li doo wkh pdunhwv lq wkdw hfrqrp|zhuh lpshuihfwo| vwdeoh1 D pdunhw zdv gh�qhg dv ehlqj shuihfwo| vwdeoh li wkh lp0shuihfw vwdelolw| lq wkdw pdunhw krogv uhjdugohvv ri wkh dgmxvwphqw ru qrw ri wkh rwkhupdunhwv/ dqg wkh hfrqrp| zdv shuihfwo| vwdeoh li doo pdunhwv zhuh shuihfwo| vwdeoh1Olnh Zdoudv dqg Pduvkdoo/ Vdpxhovrq ^6:` wrrn d g|qdplf ylhz ri wkh vwdelolw| ri dqhfrqrp| e| dqdo|vlqj wkh vwdelolw| surshuwlhv ri d v|vwhp ri gl�huhqwldo htxdwlrqv1 Liwkh wlph sdwk ri wkh v|vwhp frqyhujhg wr dq htxloleulxp sulfh yhfwru wkhq wkh v|vwhpzdv vdlg wr eh wuxo| g|qdplfdoo| vwdeoh1 Rxu lqwhuhvw lq vwdelolw| lq d frpsdud0wlyh vwdwlf iudphzrun dqg wkxv wkh lpsolfdwlrqv iru wudgh srolf| lv wkurxjk wkh joredofruuhvsrqghqfh sulqflsoh1 Dv vwdwhg hduolhu/ Lgh dqg Wdnd|dpd kdyh vkrzq wkdw wkhshuyhuvh Vwroshu0Vdpxhovrq dqg U|ef}|qvnl h�hfwv xqghu yduldeoh uhwxuqv wr vfdoh lqd frpsdudwlyh vwdwlf iudphzrun glvdsshdu zkhq Pduvkdooldq vwdelolw| lv suhvhqw1

Gdylhv ^<` srlqwv rxw wkdw Pduvkdooldq dqgZdoudvldq vwdelolw| lq wkh frqwhpsrudu|vhqvh +rxwsxw dqg sulfh dgmxvwphqw, ohdgv wr lghqwlfdo uhvxowv li wkh ghpdqg dqg vxsso|fxuyhv duh ri frqyhqwlrqdo vkdsh 0 wkdw lv/ ghpdqg lv qhjdwlyho| vorshg dqg vxsso|lv srvlwlyho| vorshg1 Li vxsso| lv qhjdwlyho| vorshg wkhq wkh uhvxowv duh qr orqjhufrqvlvwhqw1 Lw lv wkhuhiruh dq hpslulfdo txhvwlrq zkhwkhu vxsso| lv srvlwlyho| vorshg1Gdylhv jrhv rq wr dvn zkhwkhu wkhuh lv dq| wkhruhwlfdo edvlv iru fkrrvlqj ehwzhhqdq rxwsxw yhuvxv d sulfh dgmxvwphqw prgho/ luuhvshfwlyh ri wkh hpslulfdo �qglqjv1Lq grlqj vr kh h{dplqhv wkh ruljlqdo phdqlqjv ri wkh wzr frqfhswv ri vwdelolw| dqghtxdwhv wkh rxwsxw dgmxvwphqw prgho zlwk wkh orqj0uxq wkhru| ri surgxfwlrq yhuvxvwkh sulfh dgmxvwphqw prgho zlwk wkh wkhru| ri h{fkdqjh1 Zlwk wklv/ Gdylv srlqwv rxwdq huuru lq wkh frqwhpsrudu| lqwhusuhwdwlrq ri Pduvkdoo*v qhjdwlyho| vorshg vxsso|ixqfwlrq dv ehlqj d edfnzdug ulvlqj vxsso| ixqfwlrq dv rssrvhg wr ehlqj d iruzdugidoolqj orqj0uxq fxuyh gxh wr h{whuqdo hfrqrplhv ri vfdoh1 Zlwk wklv fruuhfwlrq wr wkhlqwhusuhwdwlrq ri wkh Pduvkdooldq vxsso| ixqfwlrq lw fdq eh vhhq wkdw erwk Pduvkdoodqg Zdoudv ghyhorshg prghov ri sulfh dqg rxwsxw dgmxvwphqw/ dqg wkdw d edfnzdugulvlqj vxsso| fxuyh lv dssursuldwh iru prghov orrnlqj dw wkh sxuh wkhru| ri h{fkdqjhdqg d iruzdug idoolqj vxsso| fxuyh lv dssursuldwh iru prghov orrnlqj dw wkh sxuh wkhru|ri surgxfwlrq1

Sduw ri wkh olwhudwxuh rq lqwhuqdwlrqdo wudgh xqghu lpshuihfw frpshwlwlrq ^55`/ ^4<`/^53`/ frqfhqwudwhv rq wkh lghd wkdw zlwk yduldeoh uhwxuqv wr vfdoh dqg idfwru pdunhwglvwruwlrqv +wkh qrq0wdqjhqf| dqg qrq0frqyh{lw| ylrodwlrqv ri wkh jdlqv iurp wudghwkhruhp, wkh jdlqv iurp wudgh duh dw ehvw xqfhuwdlq/ dqg wkdw wkh ydolglw| ri wkh

7

Vwroshu0Vdpxhovrq dqg U|ef}|qvnl wkhruhpv duh qhlwkhu qhfhvvdu| qru vx!flhqw iruwkh surgxfwlrq srvvlelolw| iurqwlhu wr eh orfdoo| vwulfwo| frqfdyh wr wkh ruljlq ^5;/ ss1844/847`1

Xqghu Pduvkdooldq vwdelolw| Lgh dqg Wdnd|dpd ^48` kdyh vkrzq wkdw hyhq lq wkhsuhvhqfh ri yduldeoh uhwxuqv wr vfdoh lq h{whuqdo vfdoh hfrqrplhv wkh Vwroshu0Vdpxhovrqdqg U|ef}|qvnl wkhruhpv vwloo krog1 Li zh gr qrw kdyh Pduvkdooldq vwdelolw| wkhq wkhuhlv dq dssduhqw sdudgr{=

Li sulfhv jr xs/ wkhq xqghu yduldeoh uhwxuqv wkhuh lv wkh txhvwlrq rizkhwkhu wr lqfuhdvh surgxfwlrq/ l1h1 sulfh0vhwwlqj ehkdylrxu ru pdunhwsrzhu1 Iru wkh lqgxvwu| dv d zkroh wkhuh lv d grzqzdug vorslqj ghpdqgfxuyh exw iru lqglylgxdo �upv wkh| ylhz wkh ghpdqg fxuyh dv ehlqj shu0ihfwo| frpshwlwlyh1

Wklv kdv lpsolfdwlrqv iru wkh Vwroshu0Vdpxhovrq dqg U|ef}|qvnl wkhruhpv zkhuhwkhuh lv d odfn ri fruuhvsrqghqfh xqghu wklv sursrvlwlrq1 Wkh odfn ri fruuhvsrqghqfhlv wkdw wkh Vwroshu0Vdpxhovrq wkhru| rqo| krogv lq wkh suhvhqfh ri idfwru pdunhwglvwruwlrqv lq wkh ydoxh vhqvh exw qrw lq wkh sk|vlfdo vhqvh +l1h1/ wkh idfwru pdunhwlqwhqvlw| lv phdvxuhg lq wkh ydoxh vhqvh exw qrw wkh sk|vlfdo vhqvh,/ zkhuhdv wkhU|ef}|qvnl wkhruhp krogv iru erwk wkh ydoxh dqg sk|vlfdo vhqvh1

Qrw rqo| grq*w wkh Vwroshu0Vdpxhovrq dqg U|ef}|qvnl wkhruhpv krog xqghu ydul0deoh uhwxuqv wr vfdoh dqg idfwru pdunhw glvwruwlrqv exw wkh idfwru sulfh htxdolvdwlrqwkhruhp dovr grhv qrw krog/ uhvxowlqj lq d shuyhuvh h�hfw1

111dw frqvwdqw frpprglw| sulfhv dq lqfuhdvh lq d vxevlg| sdlg wr rqh vhf0wru111zloo uhgxfh wkh rxwsxw ri wkdw vhfwru dqg lwv hpsor|phqw ri erwkidfwruv ^58/ s1 833`1

Dv zlwk wkh dssduhqwo| shuyhuvh Vwroshu0Vdpxhovrq dqg U|ef}|qvnl uhvsrqvhv wklvdssduhqwo| shuyhuvh glvwruwlrq0rxwsxw uhvsrqvh glvdsshduv li wkh pdunhw lv Pduvkdooldqvwdeoh1

Lgh dqg Wdnd|dpd ^49` vkrz wkdw xqghu wkh Joredo Fruuhvsrqghqfh Sulqflsoh/srolf| frqfoxvlrqv fdq eh gudzq iurp d v|vwhp wkdw lv Zdoudvldq xqvwdeoh +l1h1 wkhuhvxowlqj htxloleulxp lv Zdoudvldq vwdeoh, li wkh v|vwhp lv Pduvkdoo vwdeoh1 Wkh| dovrvkrz wkdw xqghu Pduvkdooldq vwdelolw| wkh Vwroshu0Vdpxhovrq h�hfw zloo eh vpdoo zlwkd vpdoo fkdqjh lq wkh sdudphwhuv dqg wkh Vwroshu0Vdpxhovrq h�hfw zloo eh odujh zlwkd odujh fkdqjh lq wkh sdudphwhuv1

61 Phdvxulqj Zdoudvldq dqg Pduvkdooldq vwdelolw|

Wkh gl�huhqfh ehwzhhq Pduvkdooldq dqg Zdoudvldq vwdelolw| fdq eh vhhq lq d vlpsohfrezhe prgho +Vhh Iljxuh 614, zkhuh wkh gluhfwlrq wdnhq iurp dq lqlwldo glvwxuedqfhiurp wkh htxloleulxp ghwhuplqhv vwdelolw| lq wkh Pduvkdooldq ru Zdoudvldq vhqvh1 LqPduvkdoo*v ylhz ri vwdelolw| lq wkh wkhru| ri surgxfwlrq/ txdqwlwlhv uhvsrqghg wr dfkdqjh lq sulfh dqg lq Zdoudv ylhz ri vwdelolw| lq wkh sxuh wkhru| ri h{fkdqjh/ sulfhvuhvsrqghg wr d fkdqjh lq txdqwlwlhv1 Wkxv Pduvkdooldq uhvsrqvhv fdq eh ylhzhg dv dforfnzlvh dgmxvwphqw dqg Zdoudvldq uhvsrqvhv fdq eh ylhzhg dv d frxqwhu forfnzlvhdgmxvwphqw1 Pduvkdoo ylhzhg rxwsxw dv wkh uhvsrqvh yduldeoh zkhuhdv Zdoudv ylhzhgsulfhv dv wkh uhvsrqvh yduldeoh1 Iru d sduwlfxodu vhw ri ghpdqg dqg vxsso| fxuyhv

8

Pduvkdooldq vwdelolw| Zdoudvldq lqvwdelolw|

Pduvkdooldq lqvwdelolw| Zdoudvldq vwdelolw|

Iljxuh 614= Pduvkdooldq dqg Zdoudvldq vwdelolw|

9

wkh pdunhw htxloleulxp pd| eh Pduvkdooldq vwdeoh dqg dw wkh vdph wlph Zdoudvldqxqvwdeoh1

Luuhvshfwlyh ri zkhwkhu |rx ylhz wkh gl�huhqfh ehwzhhq Pduvkdooldq dqg Zdoudvldqvwdelolw| wr eh d gl�huhqfh ehwzhhq wkh vkruw0uxq dqg wåwrqqhphqw/ yhuvxv d gl�huhqfhehwzhhq txdqwlw| dqg sulfh/ wkh hfrqrphwulf phwkrgrorj| ri qrq0vwdwlrqdulw| dqgfrlqwhjudwlrq lv dq dsw iudphzrun wr frqgxfw hpslulfdo whvwv ri vwdelolw|1 Lq wklv vhfwlrqzh dwwhpsw wr uhfrqfloh wkh frqfhswv ri Pduvkdooldq dqg Zdoudvldq vwdelolw| zlwkwkh hfrqrphwulf frqfhswv ri vwdelolw|/ uhihuulqj wr xqlw urrwv ri gl�huhqfh htxdwlrqv+Vhh Hqghuv ^44` iru dq h{srvlwlrq,51 Iru wkh q|�0rughu olqhdu gl�huhqfh htxdwlrq lqxqlyduldwh irup

+| ' @f n?-�'�

@�+|3� n %|

zh kdyh d krprjhqhrxv vroxwlrq

+| 3?-�'�

@�+|3� ' f

Lq hfrqrphwulf prghov wkh xvxdo uhtxluhphqw iru vwdelolw| lv wkdw doo wkh fkdudfwhulvwlfurrwv olh zlwklq wkh xqlw flufoh

?-�'�

�@�� �

Vlqfh zh gh�qh d surfhvv dv ehlqj vwdwlrqdu| li lw grhv qrw kdyh d xqlw0urrw/ wkhq dvwdwlrqdu| surfhvv lv qhfhvvdulo| vwdeoh1

Iru v|vwhpv ri olqhdu gl�huhqfh htxdwlrqv/ iru h{dpsoh d YDU/ zh kdyh wkh q0yduldeoh v|vwhp

%| ' ��%|3� n "|

zkhuh %| lv d E?f �� yhfwru ri yduldeohv +�|1 Lq gl�huhqfh irup

{%| ' E�� 3 U�%|3� n "|

{%| ' Z%|3� n "|

zkhuh wkh udqn ri Z/ wkh orqj uxq pxowlsolhu pdwul{/ lv wkh qxpehu ri frlqwhjudwlqjyhfwruv1 Li o@?& EZ� ' f wkhq doo wkh t{%�|� vhtxhqfhv duh xqlw urrw surfhvvhv dqgwkhuh lv qr vwdwlrqdu| olqhdu frpelqdwlrq ri wkh t%�|� vhtxhqfhv dqg wkxv wkh yduldeohvduh qrw frlqwhjudwhg dqg wkh v|vwhp lv xqvwdeoh1 Li Z lv ri ixoo udqn/ o@?& EZ� ' ?/ wkhqdoo wkh yduldeohv duh vwdwlrqdu| dqg wkh v|vwhp lv vwdeoh1 Lq wkh lqwhuphgldwh fdvh li Z lvudqn gh�flhqw/ o@?& EZ� ' o/ wkhq wkhuh duh o olqhduo| lqghshqghqw frpelqdwlrqv ri wkht%�|� vhtxhqfhv wkdw duh vwdwlrqdu| dqg wkxv wkrvh t%�|� duh vdlg wr eh frlqwhjudwhg1Li zh lqfoxgh wkhvh frlqwhjudwlqj yhfwruv lqwr rxu prgho vshfl�fdwlrq dv dq HFP zhlpsrvh vwdwlrqdulw| rq wkh prgho dv d zkroh dqg wkxv wkh prgho lv vwdeoh1

Li zh ohw wkh pdunhw iru d sduwlfxodu frpprglw| eh uhsuhvhqwhg e| ghpdqg dqgvxsso| htxdwlrqv=

^_| ' @3 �R|

^r| ' Kn qR|3� n 0|

^_| ' ^r|5Zh frqvlghu glvfuhwh wlph v|vwhpv dqg ljqruh wkh lvvxh ri zkhwkhu wkh wuxh prgho lv glvfuhwh ru

frqwlqxrxv lq rughu wr vlpsoli| wkh dqdo|vlv1 Zh zrxog olnh krzhyhu wr srlqw rxw wkdw wkh iroorzlqjdqdo|vlv frxog htxdoo| eh grqh lq frqwlqxrxv0wlph +Vhh Frpwh ^;` iru h{dpsoh,1

:

zkhuh ^_cr| lv txdqwlw| ghpdqg dqg vxssolhg lq shulrg |/ R| lv wkh pdunhw sulfh/ zlwksurgxfhuv edvlqj surgxfwlrq ghflvlrqv rq odjjhg sulfhv/ dqg �c q : f dqg 0| ��_

�fc j2

Fwkhq wkh pdunhw sulfh lv

R| ' 3q

�R|3� n

E@3 K�

�3 �

�0|

zklfk kdv d jhqhudo vroxwlrq +Vhh ^44/ ss1 53058` iru wkh ghulydwlrq,

R| 'E@3 K�

E� n q�3 �

|3�-�'f

�3q

��

0|3� n

�3q

�| 0Rf 3 E@3 K�

E� n q�

a

Wkh vwdelolw| ri wkh pdunhw lv vkrzq e| wkh udwlr ri wkh vorshv ri wkh vxsso| dqgghpdqg fxuyhv/ �

qdqg �

�uhvshfwlyho|1 Li q

� � wkhq wkh pdunhw lv vwdeoh dqg pdunhw

sulfh frqyhujhv wr wkh htxloleulxp1 Wkh orqj0uxq htxloleulxp sulfh lv gh�qhg dv E@3K�E�nq�

dqg wkh lpsdfw pxowlsolhu/ YR|Y0|

/ lv 3 ��1 Wkh wlph sdwk ri wkh pxowlsolhu lv wkh lpsxovh

uhvsrqvh ixqfwlrq/ zklfk lv gh�qhg dv

YR|n?Y0|

' 3�

�3q

�?

Wkh �qdo frpsrqhqw ri wkh jhqhudo vroxwlrq lv wkh lqlwldo ghyldwlrq ri sulfh iurp lwvorqj uxq htxloleulxp/ Rf3 E@3K�

E�nq� � Wkh wlph sdwk ri wkh dgmxvwphqw ri wkh v|vwhp edfnwr htxloleulxp jlyhv dq lghd ri lwv vwdelolw|1 Vxfk d wlph sdwk lv uhsuhvhqwhg e| wkhLpsxovh0Uhvsrqvh +LU, ixqfwlrq ri wkh sulfh htxdwlrq1

Wkh ruljlqdo ylhz ri Zdoudvldq vwdelolw| lv wkdw wklv lv wkh vwdelolw| ri wkh wåwrq0qhphqw surfhvv lq d sxuh h{fkdqjh hfrqrp| dqg wxuqlqj wr dq hfrqrphwulf htxlydohqwzh fdq qrwh wkdw revhuyhg sulfh dqg txdqwlw| yhfwruv duh �qdo htxloleulxp yhfwruvdqg wkdw wkh wåwrqqhphqw surfhvv fdq eh htxdwhg wr wkh zlwklq shulrg dgmxvwphqw risulfhv1 Lq vxfk d vfhqdulr lw lv ri lqwhuhvw wr ghwhuplqh zkhwkhu sulfhv duh vwdwlrqdu|+lpso|lqj vwdelolw|, ru qrq0vwdwlrqdu| +lpso|lqj lqvwdelolw|,1 Wkh frqwhpsrudu| ylhzri Zdoudvldq vwdelolw| lv wkdw wklv lv wkh vwdelolw| ri wkh sulfh htxdwlrq udwkhu wkdq wkhwåwrqqhphqw surfhvv> hfrqrphwulfdoo|/ vlqfh zh rqo| revhuyh htxloleulxp sulfhv dqgtxdqwlwlhv/ lw lv shukdsv pruh xvhixo wr frqfhqwudwh rq wkh qrq0wåwrqqhphqw surfhvvdqg wkh wlph sdwk ri wkh dgmxvwphqw ri wkh pdunhw sulfh htxdwlrq edfn wr htxlole0ulxp wr jhw dq lghd ri wkh vwdelolw| ri wkh pdunhw sulfh1 Uhfdoolqj wkdw lq wkh YDUiudphzrun/ li wkh orqj0uxq pxowlsolhu pdwul{ lv udqn gh�flhqw/ wkhuh duh o olqhduo| lqgh0shqghqw frpelqdwlrqv ri wkh t%�|� vhtxhqfhv wkdw duh vwdwlrqdu| zklfk duh vdlg wr ehfrlqwhjudwhg1 Wkhuhiruh zh fdq pryh wr d Yhfwru Huuru Fruuhfwlrq +YHF, iudphzrunzklfk lqfrusrudwhv dq HFP1 Krzhyhu/ Shvdudq dqg Vklq ^63` kdyh vkrzq wkdw gxh wrwkh udqn gh�flhqf| ri wkh orqj0uxq pxowlsolhu pdwul{ wkh Lpsxovh0Uhvsrqvh ixqfwlrqvzloo eh shuvlvwhqw dqg zloo qrw jhqhudoo| glh rxw1 Lq vxfk d fdvh d pruh xvhixo phd0vxuh ri wkh vwdelolw| ri d sduwlfxodu htxdwlrq lv wkh Lpsxovh0Uhvsrqvh ixqfwlrq ri wkhfrlqwhjudwlqj yhfwru lq wkh sduwlfxodu htxdwlrq xqghu lqyhvwljdwlrq dqg d phdvxuh riwkh vwdelolw| ri wkh v|vwhp dv d zkroh lv wkh shuvlvwhqfh sur�oh ri wkh HFP1

Wkh ruljlqdo ylhz ri Pduvkdooldq vwdelolw| lv wkdw wklv lv wkh vwdelolw| ri wkh vkruw0uxq/ lq wkh sxuh wkhru| ri surgxfwlrq1 Wxuqlqj wr dq hfrqrphwulf htxlydohqw zh fdqqrwh wkdw lq d v|vwhp ri htxdwlrqv uhsuhvhqwlqj d pdunhw/ wkh Pduvkdooldq vkruw0uxqlv dqdorjrxv wr wkh orqj0uxq huuru fruuhfwlrq phfkdqlvp +HFP,1 Wkxv wkh vwdelolw| ri

;

Wdeoh 614= Dowhuqdwlyh frqfhswv ri vwdelolw|Pduvkdooldq Zdoudvldq

Ruljlqdo ylhz Shuvlvwhqfh Sur�oh Xqlw0UrrwvFrqwhpsrudu| ylhz Txdqwlw| htxdwlrq LU Sulfh htxdwlrq LU

surgxfwlrq fdq eh ylhzhg dv wkh vwdelolw| ri wkh HFP1 Kdylqj qrwhg Wdnd|dpd*v ^66`revhuydwlrq derxw wkh qrq0wåwrqqhphqw surfhvv dqg krz wkh h{fhvv ghpdqg ixqfwlrqfkdqjhv ryhu wlph gxh wr dfwxdo wudqvdfwlrqv wdnlqj sodfh/ lw lv suredeo| xvhixo wrrevhuyh wkh wlph sdwk ri wkh HFP edfn wr htxloleulxp wr jhw dq lghd ri wkh vwdelolw|ri wkh pdunhw1 Wklv lv uhsuhvhqwhg e| wkh shuvlvwhqfh sur�oh ri wkh v|vwhp zlgh HFP^63`1 Wkh frqwhpsrudu| ylhz ri Pduvkdooldq vwdelolw| lv wkdw wklv lv wkh vwdelolw| rirxwsxw dqg hfrqrphwulfdoo| wklv zrxog eh htxlydohqw wr wkh vwdelolw| ri wkh htxloleulxptxdqwlw| lq wkh pdunhw1 Lq wkh qrq0wåwrqqhphqw surfhvv wkh wlph sdwk ri wkh dgmxvw0phqw ri surgxfwlrq edfn wr htxloleulxp lv dq lqglfdwlrq ri wkh vwdelolw| ri surgxfwlrq1Olnh wkh frqwhpsrudu| ylhz ri Zdoudvldq vwdelolw| zh fdq ylhz wkh Lpsxovh0Uhvsrqvhixqfwlrq ri wkh frlqwhjudwlqj yhfwru lq wkh surgxfwlrq htxdwlrq dv d phdvxuh ri wkhvwdelolw| ri surgxfwlrq1

Wr vxppdul}h/ lq dq hfrqrphwulf prgho lqfrusrudwlqj d orqj uxq htxloleulxpuhodwlrqvkls/ wkh ruljlqdo ylhz ri Pduvkdooldq vwdelolw| lv htxlydohqw wr phdvxulqj wkhshuvlvwhqfh sur�oh ri wkh HFP/ wkh ruljlqdo ylhz ri Zdoudvldq vwdelolw| lv htxlydohqw wrphdvxulqj wkh vwdwlrqdulw| ru qrq0vwdwlrqdulw| ri sulfhv/ dqg wkh frqwhpsrudu| ylhzri erwk duh wkh Lpsxovh0Uhvsrqvhv +LU, ri wkh HFPv ri wkh lqglylgxdo txdqwlw| dqgsulfh htxdwlrqv uhvshfwlyho| +Vhh Wdeoh 614,1

71 Vwdelolw| lq wkh Dxvwudoldq slj lqgxvwu|

Dxvwudold/ jlyhq lwv kljk0sur�oh uroh lq pxowlodwhudo wudgh olehudolvdwlrq qhjrwldwlrqv/sodfhv sduwlfxodu hpskdvlv rq wkh jdlqv iurp wudgh dffuxlqj iurp wkh uhprydo rieduulhuv wr wudgh1 Krzhyhu/ zkloh wkhvh eduulhuv wr wudgh duh vhhq sulpdulo| dv ehlqjh{whuqdo ru erughu glvwruwlrqv/ lqwhuqdo ru grphvwlf glvwruwlrqv duh grzq sod|hg ruwr d odujh h{whqw ljqruhg1 Dffruglqj wr Lgh dqg Wdnd|dpd ^49` wkh vwdelolw| ri dpdunhw lv lpsruwdqw lq rewdlqlqj ydolg frpsdudwlyh vwdwlf uhvxowv/ zklfk lv sduwlfxoduo|lpsruwdqw lq d srolf| vhwwlqj1

Vlqfh idfwru pdunhw glvwruwlrqv dqg yduldeoh uhwxuqv wr vfdoh lq d grphvwlf hfrqrp|uhvxow lq wkh jdlqv iurp wudgh ehlqj xqfhuwdlq dw wkh ehvw ri wlphv/ wkh uhvxow wkdwwkhvh jdlqv dovr klqjh fuxfldoo| rq wkh orqj0uxq vwdelolw| ri wkh pdunhw ghvhuyhv vrphlqyhvwljdwlrq1 Zh dsso| wklv wr wkh Dxvwudoldq slj lqgxvwu|/ dqg phdvxuh wkh vwdelolw|ri wkh pdunhw1 Wklv lv d udwkhu dsw pdunhw wr h{dplqh/ dv lq uhfhqw |hduv wkh lqgxvwu|kdv pryhg iurp d srvlwlrq ri uhodwlyh dxwdufk| wr iuhh wudgh1 Wkh uhfhqw klvwru|ri wkh Dxvwudoldq slj lqgxvwu| lv wkdw sulru wr 4<<3 wkhuh zdv d }rrvdqlwdu| eduulhuwr lpsruwv/ wkh uhprydo ri zklfk vdz judgxdo lqfuhdvhv lq lpsruwv ri sljphdw iurpFdqdgd1 Vhdvrqdo xqlw urrw whvwv xqghuwdnhq e| Sxufhoo dqg Kduulvrq ^64` vxjjhvw wkdwsulru wr 4<<3 sulfhv dqg txdqwlwlhv zhuh vwdwlrqdu| exw wkh lqwurgxfwlrq ri lpsruwvuhvxowhg lq d vwuxfwxudo euhdn zlwk surgxfhu sulfhv ehfrplqj qrq0vwdwlrqdu|1 Zh xvhwkh vdph gdwdvhw dv Sxufhoo dqg Kduulvrq lq wklv dqdo|vlv1

Whvwlqj iru vwdelolw| ri wkh pdunhw uhtxluhv wkdw zh duh deoh wr irup d v|vwhp rivlpxowdqhrxv htxdwlrqv dqg ghulyh wkh lpsxovh uhvsrqvh ixqfwlrqv wr h{dplqh wkh wlph

<

sdwk ri wkh vshhg ri dgmxvwphqw ri wkh pdunhw edfn wr htxloleulxp1 D YDU prgho�wv wklv ghvfulswlrq exw vx�huv iurp wkh sureohp wkdw qrq0vwdwlrqdu| yduldeohv zlwklqwkh YDU prgho pd| eh frlqwhjudwhg dqg �wwlqj d YDU zlwkrxw dq huuru fruuhfwlrqphfkdqlvp +HFP, pd| ohdg wr frlqwhjudwlrq eldv1 Wkh uhvxowv ri wkh xqlw urrw whvwv+Vhh Wdeoh 714, vxjjhvw wkdw sulru wr wkh frpphqfhphqw ri lpsruwv wkh vdoh|dug sulfhiru edfrqhuv/ ru wkh surgxfhu sulfh iru sljv/ zdv vwdwlrqdu| dqg wkh rwkhu yduldeohvri lqwhuhvw zhuh qrq0vwdwlrqdu|1 Lq wklv vlwxdwlrq zh qhhg wr pryh wr d Yhfwru HuuruFruuhfwlrq +YHF, prgho iudphzrun zklfk lqfrusrudwhv dq HFP1

Wdeoh 714= Slj Lqgxvwu| Gdwdvhw4<<3T4 :4<<3T4 Ghwhuplqlvwlf7Ur E_c(� 7Ur E_c(� Vhdvrqdolw|

Vdoh|dug sulfh iru edfrqhuv +2f2nj, +VST,^4` U Ef� U E�� '�| c '

2| c '

�| c '

e|

Vdoh|dug sulfh iru ehhi fdwwoh +2f2nj, +VEIT,^4` U E�� U E��Uhwdlo sulfh iru srun +2f2nj, +UST,^4` U E�� U E��Lpsruwv ri sljphdw iurp Fdqdgd +nj, +FDPYT,^8` �� 7Ue Efc ��Sulfh ri lpsruwv iurp Fdqdgd +2f2nj, +FDPST,^8` �� 7Ue Efc ��Grphvwlf surgxfwlrq ri sljphdw +nj, +SSGT,^5` U E�� U E�� '�

| c '2|

7141 Wkh Dxvwudoldq slj lqgxvwu| 0 suh wudgh

Dv d �uvw vwhs/ wkh rughu ri wkh YDU qhhgv wr eh ghwhuplqhg61 Wkh DLF dqg VEFzhuh fdofxodwhg iru d YDU prgho zlwk wkh hqgrjhqrxv yduldeohv VST/ VEIT/ UST/SSGT dqg wkh h{rjhqrxv yduldeohv ehlqj d frqvwdqw/ wlph wuhqg dqg wkh �r| wr �o_

txduwhuo| gxpplhv ryhu wkh shulrg 4<;7=7 wr 4<<3=5 +wkh shulrg ehiruh dfwxdo lpsruwvfrpphqfhg,1 Wkh uhvxowv duh suhvhqwhg lq Iljxuh 7141 Wdnlqj lqwr frqvlghudwlrq wkhsulqflsoh ri sduvlprq| erwk wkh DLF dqg VEF vhohfw d odj ohqjwk ri rqh +4, dv ehlqjrswlpdo1

Rqfh wkh odj ohqjwk kdv ehhq ghwhuplqhg wkh qxpehu ri frlqwhjudwlqj yhfwruv iruwkh qrq0vwdwlrqdu| yduldeohv qhhg wr eh lghqwl�hg1 Wkh Mrkdqvhq Pd{lpxp Olnholkrrgwhvw iru frlqwhjudwlrq lv fduulhg rxw rq wkh yduldeohv +VST/ VEIT/ UST/ SSGT, zlwkxquhvwulfwhg lqwhufhswv dqg wuhqgv dqg wkh �r| wr �o_ vhdvrqdo gxpplhv ryhu wkh shulrg4<;7=5 wr 4<<3=5 zlwk rqh odj ohqjwk1 Wkh whvw vwdwlvwlfv duh suhvhqwhg lq Wdeoh 7151Wkh whvw uhyhdov wkdw wkhuh dsshduv wr eh 5 frlqwhjudwlqj yhfwruv +Vhh Wdeoh 716,71

Jlyhq wkdw wkhuh dsshduv wr eh wzr frlqwhjudwlqj yhfwruv vshfli|lqj wkh orqj0uxqhtxloleulxp uhodwlrqvkls lq wkh Dxvwudoldq slj lqgxvwu| zh hvwlpdwh d YHF+4/5,8 prghozklfk lv suhvhqwhg lq Wdeohv 717 dqg 71891

6Wkh rughu ri wkh YDU lv d fuxfldo ghwhuplqdwh ri wkh uhvxowv/ dv h{wud odjv lqfoxghg lq wkh prghoohdgv wr dq ryhu sdudphwhulvdwlrq ri wkh prgho dqg d frqvhtxhqw gloxwlrq ri wkh vljql�fdqfh ri wkhyduldeohv zlwklq wkh prgho1

7 Lw lv qrupdoo| dvvxphg wkdw vwdwlrqdu| yduldeohv fdqqrw eh lqfoxglqj lq dq HFP/ vlqfh wkh HFPuhtxluhv wkdw wkh yduldeohv eh lqwhjudwhg ri wkh vdph ru kljkhu rughu1 Krzhyhu/ Kdqvhq dqg Mxvholxv^68/ s1 4` srlqw rxw wkdw doo wkdw lv uhtxluhg lv wkdw wzr ri wkh yduldeohv lq wkh HFP duh qrq0vwdwlrqdu|1 Vwdwlrqdu| +dqg qhdu0lqwhjudwhg yduldeohv, riwhq sod| dq lpsruwdqw uroh lq wkh orqj0uxqhtxloleulxp uhodwlrqvkls dqg vkrxog eh lqfoxghg lq wkh HFP1 Whvwv ri ryhu0lghqwli|lqj uhvwulfwlrqv rqwkh frlqwhjudwlqj vsdfh lqglfdwh wkdw wkh vwdwlrqdu| yduldeoh/ VST/ fdqqrw eh holplqdwhg iurp wkhhuuru fruuhfwlrq phfkdqlvp dv lw sod|v d vljql�fdqw uroh lq wkh orqj0uxq htxloleulxp uhodwlrqvkls1

8Wkdw lv/ 4 odj zlwk 5 HFPv19Qrqh ri wkh htxdwlrqv vkrzhg hylghqfh ri vljql�fdqw dxwrfruuhodwlrq ru khwhurvfhgdvwlflw|1 Wkh

htxdwlrq iru VST vkrzhg qrq0vljql�fdqw +exw erughuolqh/ s@31389, DUFK+5,1 Rq edodqfh wkhuh

43

-640

-620

-600

-580

-560

0 1 2 3

Lags

AIC SBC

Iljxuh 714= DLF dqg VEF iru YDU rswlpdo odj ohqjwk vhohfwlrq

Wdeoh 715= Mrkdqvhq PO whvw iru FrlqwhjudwlrqMf M� Pd{0Hljhqydoxh OU�o�|cf�fD Wudfh OU�o�|cf�fD VEFM�

o ' f o ' � eS���eH ���ffff H2��fSf DH�b�ff 3SSb�He2So $ � o ' 2 2D��fb� 2e��Dff �S��b�2 �b���ff 3SSD���D2o $ 2 o ' � S�bDbb �H���ff ���fH2f 2��H�ff 3SSS�SH�So $ � o ' e e��222 ���Deff e��222 ���Deff 3SSS�2�2f

Wdeoh 716= Frlqwhjudwlqj Yhfwruv7�' ��(' -�' 7�8'

q� f�f��2bf f��e�Sf �f3S 3f�ffbeHb2 f�ffeDeSSq2 f�ffS22SS 3f��2e�f �f3S 3f�ffHeSSe f�f2DSe.�q� 3��ffff 3f��2.2f �f3e f�HefD� 3f�ef2.2�q2 3��ffff f��bb�f �f3e ���Db. 3e���Hb

FL pdwul{ ' dq�c q2o

Qrupdolvhg FL pdwul{ ')�q�c �q2

K

44

Wdeoh 717= YHF uhsuhvhqwdwlrq iru slj lqgxvwu|{7�' {��('

q� 7q�

ds0ydoxho q� 7q�

ds0ydoxhokf 3�Se��Db. SH�f.Dfdf�f2.o e�2�f �f. ��2.f �f.df�ffeoA 3��HeSD f�SH.�fdf�f�Do �D.DH.�S �2H�D��Hdf�f�2o.���

|3� 2��f�b2 S�.DDDdf�ffSo 3Sef2HDb �2S�befdf�fffo.��2

|3� 3e�f2b. S�.DDDdf�DDHo 3DH.2S��. �2S�befdf�Se.o'�| 32��SebD ��bSHedf�fffo 3S2�2.b� .e��fD�bdf�fffo

'2| e�eHfe b�SeS2df�SeHo 3HfHbS�H �Hf�b�fdf�bSDo

'�| S�D2HH e�eDf�df��Sfo �HHSDf�. H����H�Sdf�H2�o

-2 f�He�f� f�bDeD�

Wdeoh 718= YHF uhsuhvhqwdwlrq iru slj lqgxvwu|{-�' {7�8'

q� 7q�

ds0ydoxho q� 7q�

ds0ydoxhokf 3.b�HHHH Sb��DDedf�2S�o 322���DD� .b�bf2Ddf�f�2oA 3f��eSDD f�SbHffdf�S2So 32��SDH f�HfSeHdf�ffbo.���

|3� 2��fHSf S�HS2.df�ff.o 3f�2�f2b .�b2b2df�b..o.��2

|3� b��HD� S�HS2.df��b.o 3���D.b� .�b2b2df�ff�o'�| 3f�22e�� e�f��edf�bDSo f�SDe.f e�SD.bdf�Hbfo

'2| .�2.fb b�.bb�df�eSHo 2b�b�DH ����22�df�f�So

'�| D��Db. e�D2fbdf�2D�o �2��D�f D�22�Ddf�f�2o

-2 f�S��.2 f�SD2e2

45

Wkh uhvxowv lqglfdwh wkdw wkh �uvw frlqwhjudwlqj yhfwru sod|v d kljko| vljql�fdqwuroh lq wkh ghwhuplqdwlrq ri wkh grphvwlf slj pdunhw htxloleulxp/ zlwk vdoh|dug sulfhv/grphvwlf surgxfwlrq/ dqg uhwdlo sulfhv olqnhg wrjhwkhu e| wkh �uvw frlqwhjudwlqj yhfwru1Wklv �uvw frlqwhjudwlqj yhfwru grhv qrw sod| dq lpsruwdqw uroh lq wkh ghwhuplqdwlrqri grphvwlf fdwwoh sulfhv/ zklfk lv wr eh h{shfwhg1 Vlploduo|/ wkh vhfrqg frlqwhjudwlqjyhfwru lv kljko| vljql�fdqw lq wkh ghwhuplqdwlrq ri grphvwlf fdwwoh sulfhv/ exw qrw lqwkh ghwhuplqdwlrq ri slj lqgxvwu| yduldeohv1 Wklv lqglfdwhv wkdw wkhuh lv ixuwkhu vfrshiru whvwlqj ri zhdn h{rjhqhlw| ehwzhhq wkh fdwwoh dqg slj pdunhwv:1 Wkh uhodwlyho|orz -2 iru uhwdlo sulfhv iru srun dqg fdwwoh sulfhv lqglfdwhv wkdw wkh hvwlpdwhg prgholv d srru uhsuhvhqwdwlrq ri wkh gdwd jhqhudwlqj surfhvv +GJS, xqghuo|lqj wkhvh wzrsulfh vhulhv1 Lq frqwudvw wkh surgxfhu ohyho yduldeohv ri wkh slj lqgxvwu| +surgxfhusulfhv/ vdoh|dug sulfhv iru edfrqhuv/ dqg surgxfwlrq yroxphv, kdyh d kljk ohyho riwkhlu uhvshfwlyh GJSv h{sodlqhg e| wkh hvwlpdwhg prgho1 Wklv kljkoljkwv erwk wkhh{rjhqhlw| ri fdwwoh sulfhv dqg wkh dv|pphwulf sulfh wudqvplvvlrq ehwzhhq surgxfhudqg uhwdlo sulfhv +vdoh|dug sulfhv iru edfrqhuv dqg uhwdlo sulfhv iru srun, irxqg e|Sxufhoo dqg Kduulvrq ^64`1

Rqfh zh kdyh vshfl�hg wkh prgho vwuxfwxuh/ zh qhhg wr wxuq wr wkh dqdo|vlv riPduvkdooldq dqgZdoudvldq vwdelolw| ri pdunhw1 Dv phqwlrqhg deryh/ zh fdq ylhz wkhvhwzr frqfhswv ri vwdelolw| lq wzr zd|v 0 wkh ruljlqdo dqg wkh frqwhpsrudu| frqfhswv+Vhh Wdeohv 514 dqg 614,1 Lq wkh ruljlqdo frqfhsw/ zkhuh pdunhw vwdelolw| zdv vhhqlq whupv ri surgxfwlrq dqg h{fkdqjh/ Pduvkdooldq vwdelolw| zdv ylhzhg dv d vkruw0uxq uhwxuq wr htxloleulxp ri wkh pdunhw1 Zh fdq h{dplqh wkh shuvlvwhqfh sur�oh riwkh frlqwhjudwlqj yhfwruv wr jhw dq lghd ri wkh vshhg ri dgmxvwphqw ri wkh pdunhwedfn wr htxloleulxp +Vhh Iljxuh 715,1 Wkh vshhg ri dgmxvwphqw ri wkh pdunhw edfnwr htxloleulxp lv uhdvrqdeo| idvw/ wdnlqj durxqg 8 txduwhuv iru vkrfnv wr wkh pdunhwhtxloleulxp wr glvvlsdwh11 Wkh grphvwlf slj pdunhw lv txlwh vwdeoh/ zlwk prvw ri wkhvkrfn wr htxloleulxp glvvlsdwlqj zlwklq wkh �uvw wlph shulrg +txduwhu, diwhu wkh vkrfn1Wkh vhfrqg frlqwhjudwlqj yhfwru/ iru wkh vdoh|dug sulfh ri fdwwoh/ lqglfdwhv wkdw/ iru wkhgdwd jhqhudwlqj surfhvv dv vshfl�hg e| wkh prgho/ wkh vshhg ri dgmxvwphqw iru fdwwohsulfhv lv voljkwo| vorzhu/ zlwk prvw ri wkh vkrfn wr wkh pdunhw htxloleulxp glvvlsdwlqjzlwklq 5 txduwhuv/ zlwk �qdo frqyhujhqfh edfn wr htxloleulxp wdnlqj wkh vdph wlph dviru wkh slj pdunhw1 Djdlq/ wkh fdwwoh pdunhw lv qrw ixoo| vshfl�hg lq wkh prgho dqglqihuhqfhv vkrxog eh gudzq zlwk fdxwlrq1

Lq lwv ruljlqdo frqfhsw/ Zdoudvldq vwdelolw| fdq eh vhhq dv dq lqvwdqwdqhrxv uhwxuqwr htxloleulxp/ ru d wåwrqqhphqw surfhvv/ lq wkh h{fkdqjh hfrqrp|1 Lq wkh pdunhwzh duh lqwhuhvwhg lq/ wkh surgxfhu ohyho ri wkh slj pdunhw/ wkh wåwrqqhphqw surfhvv lvlq wkh lqvwdqwdqhrxv dgmxvwphqw ri ex|hu dqg vhoohu sulfhv wrzdugv wkh uhdolvhg sulfh1Dv vkrzq deryh/ qrq0vwdwlrqdulw| +wkdw lv/ dq U E�� yduldeoh, lq dq hfrqrphwulf vhqvhlv vkrzq wr eh htxlydohqw wr wkh lqvwdelolw| ri d �uvw0rughu gl�huhqfh htxdwlrq1 Wkhuhvxowv +Vhh Wdeoh 714, vkrz wkdw wkh vdoh|dug sulfh iru edfrqhuv lv vwdwlrqdu| dqgwkhuhiruh Zdoudvldq vwdeoh1

Lq wkh frqwhpsrudu| ylhz ri Zdoudvldq dqg Pduvkdooldq vwdelolw|/ vwdelolw| lv vhhq

grhv qrw dsshdu wr eh dq| lqglfdwlrq ri d DUFK surfhvv1:Wklv srlqw lv lqwhuhvwlqj/ dv lw jlyhv ixuwkhu hylghqfh ri wkh h{rjhqhlw| ehwzhhq wkh fdwwoh dqg slj

pdunhwv/ suhylrxvo| kljkoljkwhg e| Sxufhoo dqg Kduulvrq ^64`/ dqg kljkoljkwv d frpprq plvfrqfhswlrqdv wr wkh uhodwlrqvkls ehwzhhq idoolqj fdwwoh sulfhv dqg idoolqj slj sulfhv 0 flwhg e| DEDUH ^B` dqgwkh Dxvwudoldq Jryhuqphqw ^6`/ ^7` dv d sulph uhdvrq iru wkh slj lqgxvwu|*v uhfhqw kdugvkls +srvwQryhpehu 4<<:,1 Wklv plvfrqfhswlrq dulvhv iurp wkh frqixvlrq ehwzhhq wkh vxevwlwxwdelolw| ehwzhhqehhi dqg srun/ dqg wkh +odfn ri, vxevwlwxdelolw| ehwzhhq fdwwoh dqg sljv 0 gxh wr wkh suhvhqfh riplggohphq zlwk pdunhw srzhu1

46

Persistence Profile of the effect of a system-wide shock to CV’(s)

CV1

CV2

Horizon

0.0

0.2

0.4

0.6

0.8

1.0

0 1 2 3 4 5 6 7 8 9 10

Iljxuh 715= Shuvlvwhqfh sur�oh ri wkh frlqwhjudwlqj yhfwruv

lq whupv ri sulfhv dqg txdqwlwlhv/ udwkhu wkdq lqvwdqwdqhrxv dqg vkruw0uxq1 Zhfdq ylhz wkh lpsxovh0uhvsrqvhv ri wkh lqglylgxdo HFPv dv phdvxuhv ri wklv vwdelolw|surfhvv1 Vkrfnv wr wkh frlqwhjudwlqj yhfwruv vkrz wkh vkruw0uxq vshhg ri dgmxvwphqwri wkh pdunhw htxdwlrqv edfn wr wkhlu htxloleulxp +Vhh Iljxuh 716,1 Wkh lpsxovh0uhvsrqvhv duh vkrzq iru erwk frlqwhjudwlqj yhfwruv iru hdfk ri wkh htxdwlrqv lq wkhYHF prgho/ dowkrxjk wkh frh!flhqwv ri wkh HFPv lqglfdwh wkdw rqo| wkh �uvw frlqwh0judwlqj yhfwru lv vljql�fdqw iru wkh slj yduldeohv +VST/ SSGT/ UST, dqg wkh vhfrqgfrlqwhjudwlqj yhfwru ehlqj vljql�fdqw iru fdwwoh sulfhv +VEIT,1

Wkh uhvxowv vkrz wkdw wkh vshhg ri dgmxvwphqw ri surgxfhu sulfhv dqg surgxfwlrqlv prghudwh/ zlwk erwk uhjdlqlqj htxloleulxp zlwklq : txduwhuv ri dq lqlwldo vkrfn1Prvw ri wkh vkrfn lq surgxfhu sulfhv dqg surgxfwlrq kdv glvvlsdwhg zlwklq rqh |hdu+7 txduwhuv, zlwk surgxfhu sulfhv ehlqj ohvv uhvsrqvlyh wr d vkrfn/ lq wkdw wkhuhlv ohvv ryhuvkrrwlqj ri wkh htxloleulxp iru wkh frlqwhjudwlqj yhfwru lq wkh surgxfhusulfh htxdwlrq frpsduhg zlwk wkh frlqwhjudwlqj yhfwru iru wkh surgxfwlrq htxdwlrq1Uhwdlo sulfhv duh pruh urexvw wr pdunhw vkrfnv wkdq surgxfhu sulfhv ru surgxfwlrq/dv hylghqfhg e| wkh txlwh vpdoo ghyldwlrqv iurp htxloleulxp vkrzq lq wkh lpsxovh0uhvsrqvh ixqfwlrqv iru wkh uhwdlo sulfh htxdwlrq1 Prvw ri wkh vkrfn glvvlsdwhv zlwklqwkh �uvw wlph shulrg +txduwhu,1 Wklv lv lqglfdwlyh ri wkh uhwdlo pdunhw ehlqj lqvxodwhgiurp h{whuqdo vkrfn/ frpsduhg zlwk wkh surgxfhu pdunhw/ dqg ixuwkhu hylghqfh ri wkhdv|pphwulf sulfh wudqvplvvlrq ehwzhhq uhwdlo dqg surgxfhu sulfhv irxqg e| Sxufhoodqg Kduulvrq ^64`1 Fdwwoh sulfhv dovr vkrz d prghudwh vshhg ri dgmxvwphqw/ zlwkhtxloleulxp ehlqj uhjdlqhg zlwklq : txduwhuv ri dq lqlwldo vkrfn1 Prvw ri wkh vkrfnglvvlsdwhv zlwklq 5 txduwhuv zlwk vrph voljkw ryhuvkrrwlqj ri wkh htxloleulxp vkrzqlq wkh wklug txduwhu ehiruh d vorz gdpshqlqj grzq ri wkh vkrfn1

Xvlqj wkh frqwhpsrudu| lqwhusuhwdwlrq ri Pduvkdooldq dqg Zdoudvldq vwdelolw| wkhuhvxowv lqglfdwh wkdw erwk surgxfwlrq dqg sulfhv duh vwdeoh zlwk prghudwh vshhg ridgmxvwphqw edfn wr pdunhw htxloleulxp1

47

Generalized Impulse Response(s) to one S.E. shock in the equation for SPQ

CV1

CV2

Horizon

-0.05

0.00

0.05

0.10

0.15

0 1 2 3 4 5 6 7 8 9 10

Generalized Impulse Response(s) to one S.E. shock in the equation for PPDQ

CV1

CV2

Horizon

-0.05

-0.10

0.00

0.05

0.10

0.15

0.20

0.25

0 1 2 3 4 5 6 7 8 9 10

Generalized Impulse Response(s) to one S.E. shock in the equation for RPQ

CV1

CV2

Horizon

-0.01

-0.02

-0.03

-0.04

-0.05

0.00

0.01

0.02

0.03

0.04

0 1 2 3 4 5 6 7 8 9 10

Generalized Impulse Response(s) to one S.E. shock in the equation for SBFQ

CV1

CV2

Horizon

-0.05

0.00

0.05

0.10

0.15

0 1 2 3 4 5 6 7 8 9 10

Iljxuh 716= Lpsxovh0Uhvsrqvhv iru frlqwhjudwlqj yhfwruv

48

-1000

-950

-900

-850

-800

0 1 2 3 4 5

Lags

AIC SBC

Iljxuh 717= DLF dqg VEF iru YDU rswlpdo odj ohqjwk vhohfwlrq

7151 Wkh Dxvwudoldq slj lqgxvwu| 0 srvw wudgh

Iurp wkh deryh dqdo|vlv lw dsshduv wkdw wkh Dxvwudoldq slj lqgxvwu| xqghu dxwdufk|zdv fkdudfwhulvhg e| erwk Zdoudvldq dqg Pduvkdooldq vwdelolw|/ lq erwk wkh frqwhp0srudu| dqg ruljlqdo vhqvh1 Vlqfh wkh lqwurgxfwlrq ri lpsruwv kdv fkdqjhg wkh qdwxuhri wkh pdunhw +Vhh Wdeoh 714, lw lv ri lqwhuhvw wr vhh zkhwkhu wkh pdunhw lv vwloo vwdeoh/dv wkh suhglfwlrqv ri wkh jdlqv iurp wudgh duh edvhg rq dq xqghuo|lqj vwdelolw| ri wkhpdunhw1

Zh xqghuwdnh wkh vdph surfhgxuh dv ehiruh/ dqg h{dplqh wkh pdunhw diwhu wkhlqwurgxfwlrq ri lpsruwv1 Dv d �uvw vwhs/ wkh rughu ri wkh YDU qhhgv wr eh ghwhuplqhg1Wkh DLF dqg VEF zhuh fdofxodwhg iru d YDU prgho zlwk wkh hqgrjhqrxv yduldeohvVST/ VEIT/ UST/ SSGT dqg wkh h{rjhqrxv yduldeohv ehlqj FDPYT/ FDPST/frqvwdqw/ wlph wuhqg dqg wkh �r| wr �o_ txduwhuo| gxpplhv ryhu wkh shulrg 4<<3=5 wr4<<;=5 +wkh shulrg ehiruh lpsruwv frpphqfhg,1 Wkh uhvxowv duh suhvhqwhg lq Iljxuh7171 Wkh VEF vhohfwv d odj ohqjwk ri rqh +4, dv ehlqj rswlpdo zlwk wkh DLF vkrzlqjqr pd{lpxp ydoxh uhdfkhg ryhu wkh odj ohqjwkv xvhg1 Wdnlqj lqwr frqvlghudwlrqwkh sulqflsoh ri sduvlprq| d YDU+4, zdv lqlwldoo| fkrvhq dv wkh prvw dssursuldwh1Krzhyhu/ wkh uhvxowlqj YHF uhjuhvvlrq gldjqrvwlfv zhuh qrw sduwlfxoduo| jrrg iru wklvprgho irupxodwlrq1 Zkloh wkhuh zdv qr hylghqfh ri khwhurvfhgdvwlflw|/ DUFK ru vhuldofruuhodwlrq/ wkh -2v lqglfdwh wkdw wkh prgho zdv d srru �w ri wkh GJSv/ hvshfldoo| iruwkh uhwdlo sulfh ri srun dqg wkh vdoh|dug sulfh ri fdwwoh +UST dqg VEIT uhvshfwlyho|,1

D pruh surplvlqj prgho vshfl�fdwlrq uhvxowv iurp ryhu0�wwlqj wkh YHF prgho e|lqfrusrudwlqj dq dgglwlrqdo odj/ pdnlqj d YHF+5, prgho1

Lw vkrxog eh qrwhg wkdw wkh yduldeohv FDPYT dqg FDPST zhuh prghoohg dvehlqj U Ef� hyhq wkrxjk wkh GKI whvw lqglfdwhg wkdw wkh| zhuh lq idfw 7Ue Efc ��1 Wkhlqfrusrudwlrq ri lpsruwv dv U Ef� yduldeohv dorqj zlwk vhdvrqdo gxpp| yduldeohv zdvgrqh dv dq dowhuqdwlyh wr suh0�owhulqj wkh yduldeohv dqg lqfrusrudwlqj wkhp dv vhdvrqdogl�huhqfhg yduldeohv 0 zlwk d fruuhvsrqglqj uhgxfwlrq lq ghjuhhv ri iuhhgrp dqg orvvri orqj uxq lqirupdwlrq1 Lq rwkhu zrugv/ zh h{solflwo| dvvxphg wkdw wkh vwrfkdvwlfvhdvrqdolw| frxog eh dssur{lpdwhg e| ghwhuplqlvwlf vhdvrqdolw|1

Krzhyhu/ wklv lv qrw wkh hqwluh vwru|1 Wkhuh kdv ehhq vrph ghedwh ^4:`/ ^4;`/ ^54`

49

dv wr wkh ydolglw| ri wkh whvwv iru vhdvrqdo vwdwlrqdulw| xqghuwdnhq e| Sxufhoo dqgKduulvrq ^64` rq zklfk wkhvh uhvxowv duh edvhg1 Lw kdv ehhq vwdwhg wkdw wkh Glfnh|0Kdv}d0Ixoohu +GKI, whvw ^43`/ ^59` xvhg lv qrw dv dffxudwh dv wkh dowhuqdwlyh K|oohehuj/Hqjoh/ Judqjhu dqg \rr +KHJ\, whvw ^45`1 Wklv lv xqwuxh/ dv uhfhqw zrun e| Rveruqdqg Urguljxhv ^5:` vkrz wkdw wkh| duh dv|pswrwlfdoo| htxlydohqw1 Zkdw lv wuxh lvwkdw wkh KHJ\ whvw zloo jlyh dq lqglfdwlrq ri wkh iuhtxhqf| ri vhdvrqdo lqwhjudwlrq>txduwhuo|/ el0dqqxdoo| hwf1 zkhuhdv wkh GKI whvw lqglfdwhv zkhwkhu ru qrw wkh vhulhv lvvhdvrqdoo| lqwhjudwhg iru wkdw sduwlfxodu gdwd iuhtxhqf| +l1h1 txduwhuo| gdwd,1 KHJ\whvwv fduulhg rxw e| wkh Lqvwlwxwh iru Uhvhdufk lqwr Lqwhuqdwlrqdo Frpshwlwlyhqhvv+LULF, ^4;` lqglfdwh wkdw lpsruw yroxphv dqg sulfhv kdyh d vhpl0dqqxdo xqlw urrw1Dv zlwk wkh GKI whvwv fduulhg rxw e| Sxufhoo dqg Kduulvrq ^64` wkh txhvwlrq wkhq lvzkhwkhu wkh vhdvrqdoo| lqwhjudwhg lpsruw yduldeohv eh lqfoxghg lq wkh YHF prgho dv7U?Efc �� yduldeohv +zkhuh ? uhihuv wr wkh ohyho ri vhdvrqdo lqwhjudwlrq,/ U E�� yduldeohv/ru U Ef� yduldeohv zlwk ghwhuplqlvwlf vhdvrqdo gxpplhv wr dssur{lpdwh wkh vhdvrqdolqwhjudwlrq1 Lqfoxglqj wkh lpsruw yduldeohv dv 7U?Efc �� lv pruh dssursuldwh/ exw ohdgvwr d orvv lq ghjuhhv ri iuhhgrp dqg orqj0uxq lqirupdwlrq dqg wkhuhiruh wuhdwlqj wkhyduldeohv dv U Ef� zlwk vhdvrqdo gxpp| yduldeohv lv d vhfrqg ehvw vroxwlrq1 Zh dgguhvvwkh txhvwlrq ri zkhwkhu lpsruwv vkrxog eh lqfoxghg lq wkh prgho vwuxfwxuh dv U E��yduldeohv odwhu1

Dowkrxjk lqgxvwu| vrxufhv vxjjhvw wkdw d exlog0xs ri lpsruwhg vwrfnv gr kdyhdq lq xhqfh rq pdunhw irufhv zh ghflghg wr prgho FDPYT dqg FDPST dv kdylqjrqo| d fxuuhqw shulrg lpsdfw rq wkh grphvwlf lqgxvwu|1 Doorzlqj lpsruwv wr kdyhd wzr txduwhu odj lq wkh prgho vwuxfwxuh +wkh vdph dv wkh rwkhu yduldeohv, uhvxowvlq vljql�fdqw khwhurvfhgdvwlflw| lq wkh htxdwlrq iru grphvwlf surgxfwlrq1 Wklv khw0hurvfhgdvwlflw| grhv qrw dsshdu wr iroorz dq DUFK surfhvv1 Uhgxflqj wkh odj ohqjwkgrzq wr rqh odj holplqdwhv wkh khwhurvfhgdvwlflw|/ exw lw lv vwloo erughuolqh/ zlwk ds0ydoxh ri 313861 Wklv lqglfdwhv wkdw wkh h�hfw ri lpsruwhg vwrfnv rq grphvwlf sur0gxfwlrq lv dw ehvw d iudfwlrqdoo| odjjhg surfhvv/ l1h1 vwrfn exlogxs ri ohvv wkdq rqhtxduwhu sod| pruh ri d uroh lq fkdqjhv lq grphvwlf surgxfwlrq wkdq orqjhu txduwhuo|xqlwv1 Wkxv vshfli|lqj lpsruwv dv kdylqj qr odjv dqg doorzlqj wkh vhdvrqdo gxpp|yduldeohv wr slfn xs v|vwhpdwlf fkdqjhv lq lpsruw yroxphv dqg sulfhv zdv ghhphg wreh wkh pruh dssursuldwh prgho irupxodwlrq1

Rqfh wkh odj ohqjwk kdv ehhq ghwhuplqhg/ wkh qxpehu ri frlqwhjudwlqj yhfwruv iruwkh qrq0vwdwlrqdu| yduldeohv qhhg wr eh lghqwl�hg1 Wkh Mrkdqvhq Pd{lpxp Olnholkrrgwhvw iru frlqwhjudwlrq lv fduulhg rxw rq wkh hqgrjhqrxv yduldeohv +VST/ VEIT/ UST/SSGT, zlwk h{rjhqrxv U Ef� yduldeohv FDPYT dqg FDPST/ xquhvwulfwhg lqwhufhswvdqg wuhqgv dqg wkh �r| wr �o_ vhdvrqdo gxpplhv ryhu wkh shulrg 4<<3=5 wr 4<<;=51Wkh whvw vwdwlvwlfv duh suhvhqwhg lq Wdeoh 719 dqg uhyhdov wkdw wkhuh dsshduv wr eh 4frlqwhjudwlqj yhfwru +Vhh Wdeoh 71:,1

Wdeoh 719= Mrkdqvhq PO whvw iru FrlqwhjudwlrqMf M� Pd{0Hljhqydoxh OU�o�|cf�fD Wudfh OU�o�|cf�fD

o ' f o ' � e2�SeSS ���ffff .��2bSf DH�b�ffo $ � o ' 2 �H��22H 2e��Dff 2H�Sebe �b���ffo $ 2 o ' � b�SebS �H���ff �f�D2SS 2��H�ffo $ � o ' e f�H..f� ���Deff f�H..f� ���Deff

Jlyhq wkdw wkhuh dsshduv wr eh rqh frlqwhjudwlqj yhfwru vshfli|lqj wkh orqj0uxq

4:

Wdeoh 71:= Frlqwhjudwlqj Yhfwruv7�' ��(' -�' 7�8'

q� 3f�ff.e�2H f�b�f2f �f3. f�f�Hee� 3f�ff�2�S.�q� 3��ffff f��22Hf �f3e 2�eHHf 3f��SSH�

FL pdwul{ ' dq�c q2o

Qrupdolvhg FL pdwul{ ')�q�c

�q2

K

htxloleulxp uhodwlrqvkls lq wkh Dxvwudoldq slj lqgxvwu| zh hvwlpdwh d YHF+5/4,; prghozklfk lv suhvhqwhg lq Wdeohv 71; dqg 71<1

Wdeoh 71;= YHF uhsuhvhqwdwlrq iru slj lqgxvwu|{7�' {��('

q� 7q�

ds0ydoxho q� 7q�

ds0ydoxhokf 2bH�.2eH 22b�H�S2df�2fHo D��Hf �f. e�bff �f3.df��f�oA ��effH f�bDH�fdf��Dbo �eeS�e�b 2fe�.2��df�eH.o{7�'|3� f�f�SeH2 f�2SHHbdf�Hb�o 3�e���b�D D.�ee�2df�f2�o{7�8'|3� f��S.S. f�2fH�fdf�e�fo 3efffe�f eee2��bdf��.Ho{-�'|3� 3f�2D.f� f��S�ebdf�eH.o 2ebS�H ..D�b�Ddf�b.Do{��('|3� f�S.��f �f3S f���bef �f3Ddf�D.bo 3f�2.�Sf �2De.�df�2bDo.���

|3� 3�D���b2 �2�e���df�2�fo 32H���.. 2Se.2.Ddf�2b.o���T' 3f�bHHSf �f3D f�eSSSf �f3Ddf�feSo f�DHSDD f�bbD��df�DS2o����' 3f�ff�fbHS f�f��2fSdf�b2.o �.2D�b .fH��Sdf�H�fo'�| 32S�D.SH .�Sf22df�ff2o 3e2�eHeH �S2�2Hedf�f�.o

'2| 3�D�SHSf �2�.bebdf�f��o �2�2S.2 2.2H.f2df�2ebo

'�| f��HDSD �2�DHbDdf�bHHo 3�e��f.� 2SHeHbSdf�SfDo

-2 f�.�Dff f�HDSHD

Wkh uhvxowv lqglfdwh wkdw wkh frlqwhjudwlqj yhfwru lv rqo| vljql�fdqw iru wkh uh0wdlo sulfh ri srun/ vxjjhvwlqj wkdw wkh orqj0uxq htxloleulxp olqndjh ehwzhhq surgxfhusulfhv/ uhwdlo sulfhv/ dqg surgxfwlrq kdv ehhq eurnhq e| wkh fkdqjh lq lqgxvwu| vwuxf0wxuh rffxuulqj diwhu wkh lqwurgxfwlrq ri lpsruwv lq 4<<31

Rqfh zh kdyh vshfl�hg wkh prgho vwuxfwxuh/ zh qhhg wr wxuq wr wkh dqdo|vlv riPduvkdooldq dqg Zdoudvldq vwdelolw| ri pdunhw1 Wr jhw dq lghd ri wkh Pduvkdooldqvwdelolw| ri wkh pdunhw zh fdq h{dplqh wkh shuvlvwhqfh sur�oh ri wkh frlqwhjudwlqjyhfwru zklfk sorwv wkh wlph sdwk ri wkh vshhg ri dgmxvwphqw ri wkh pdunhw edfn wrhtxloleulxp +Vhh Iljxuh 718,1 Vlqfh wkh HFP lv rqo| vljql�fdqw iru wkh uhwdlo sulfh irusrun/ wkh vshhg ri dgmxvwphqw uhihuv wr wkh uhwdlo sulfh +ru pdunhw ohyho, rqo|/ qrw wkhsurgxfhu pdunhw ohyho ri wkh grphvwlf slj lqgxvwu|1

Wkh vshhg ri dgmxvwphqw ri wkh uhwdlo pdunhw edfn wr htxloleulxp lv uhdvrqdeo|idvw/ wdnlqj durxqg 8 txduwhuv iru vkrfnv wr wkh pdunhw htxloleulxp wr glvvlsdwh11 Wkhgrphvwlf uhwdlo pdunhw iru srun lv txlwh vwdeoh/ zlwk prvw ri wkh vkrfn wr htxloleulxpglvvlsdwlqj zlwklq wkh �uvw wzr wlph shulrgv +txduwhuv, diwhu wkh vkrfn1 Lq whupv riwkh surgxfhu ohyho ri wkh pdunhw wkh devhqfh ri d vljql�fdqw HFP/ wkh phfkdqlvpwkdw uhwxuqv wkh pdunhw wr htxloleulxp diwhu d vkrfn/ lqglfdwhv wkdw dq| vkrfn wrwkh pdunhw lv olnho| wr eh d shupdqhqw rqh +ru dw ohdvw orqj odvwlqj,1 Wkh devhqfh

;Wkdw lv/ 5 odjv zlwk 4 HFP1

4;

Wdeoh 71<= YHF uhsuhvhqwdwlrq iru slj lqgxvwu|{-�' {7�8'

q� 7q�

ds0ydoxho q� 7q�

ds0ydoxhokf S�b�HD�e ��H�feSSdf�fffo �Sb�DSHS 22H��ffedf��2foA 2��Sb2 f�eb22edf�fffo ��f�.� f�bD�bHdf�2b.o{7�'|3� f�fDSbe� f���H�2df�SHeo 3f��.H�f f�2S.��df�D�2o{7�8'|3� f��f�S� f��f.ffdf�f�fo f�ffe�DH� f�2fSb�df�bH�o{-�'|3� 3f�fHbe�e f��HS.�df�S�.o 3f�D�eDH f��S�fbdf��Deo{��('|3� f����bf �f3D f�S��Df �f3Sdf�f.Ho f��Heef �f3D f���HSf �f3Ddf���Do.���

|3� 3���fH�� S��.S�df�fffo 3�b�D�f� �2����2df��2bo���T' 3f�2ffef �f3S f�2�b.f �f3Ddf�b�eo f�Sb��f �f3D f�eS�Df �f3Ddf��Dfo����' 3f�f2.��f f�f�.fDSdf��2.o 3f�f�eef2 f�f�2bH.df��fbo'�| 3S�2SH2 ��bfebdf��2�o ��2H2f .�DD2�df�SSHo

'2| 32��S.D� S�D.22df�ff2o 3b�2�b� �2�.�fDdf�e.So

'�| 3D�D�bb S�eSS.df�ef�o 3����HDf �2�DfSedf��.�o

-2 f�.S.bS f�e�.�2

ri dq HFP iru d qrq0vwdwlrqdu| v|vwhp vxjjhvwv wkdw wkh v|vwhp lv xqvwdeoh lq wkhruljlqdo Pduvkdooldq vhqvh1 Iru wkh frqyhqwlrqdo frqfhsw ri Pduvkdooldq vwdelolw| zhqhhg wr h{dplqh wkh txdqwlw|/ ru grphvwlf surgxfwlrq htxdwlrq ri wkh YHF v|vwhp1Wkh HFP iru {SSGT lv dovr qrq0vljql�fdqw/ lqglfdwlqj wkdw dq| vkrfn wr surgxfwlrqlv olnho| wr eh d shupdqhqw rqh/ ru wkdw lw lv vxfk d vorz uhwxuq wr htxloleulxp lw lv qrwvljql�fdqwo| gl�huhqw iurp qr uhwxuq wr htxloleulxp1 Wkxv lq erwk wkh ruljlqdo dqgfrqwhpsrudu| ylhz ri Pduvkdooldq vwdelolw| wkh grphvwlf slj pdunhw dw wkh surgxfhuohyho lv xqvwdeoh1

Wkh ruljlqdo frqfhsw ri Zdoudvldq vwdelolw| lv wkdw wkhuh lv dq lqvwdqwdqhrxv uhwxuqwr htxloleulxp/ ru d wåwrqqhphqw surfhvv/ lq wkh h{fkdqjh hfrqrp|1 Lq wkh pdunhwzh duh lqwhuhvwhg lq/ wkh surgxfhu ohyho ri wkh slj pdunhw/ wkh wåwrqqhphqw surfhvv lvlq wkh lqvwdqwdqhrxv dgmxvwphqw ri ex|hu dqg vhoohu sulfhv wrzdugv wkh uhdolvhg sulfh1Dv vkrzq deryh/ qrq0vwdwlrqdulw| +wkdw lv/ dq LE�� yduldeoh, lq dq hfrqrphwulf vhqvhlv vkrzq wr eh htxlydohqw wr wkh lqvwdelolw| ri d �uvw0rughu gl�huhqfh htxdwlrq1 Dvvkrzq deryh/ wkh vdoh|dug sulfh iru edfrqhuv lv qrq0vwdwlrqdu| dqg wkhuhiruh Zdoudvldqxqvwdeoh1

Lq wkh frqwhpsrudu| ylhz ri Zdoudvldq vwdelolw|/ vwdelolw| lv vhhq lq whupv ri sulfhv/udwkhu wkdq d wåwrqqhphqw surfhvv1 Zh fdq ylhz wkh lpsxovh0uhvsrqvh ri wkh HFP iruwkh sulfh htxdwlrq dv d phdvxuh ri wklv vwdelolw| surfhvv1 Vlqfh wkh HFP iru wkh sulfhhtxdwlrq lv qrw vljql�fdqw/ wklv lqglfdwhv wkdw dq| vkrfn zloo kdyh d shupdqhqw h�hfw/dqg wkxv lq wkh frqwhpsrudu| ylhz ri Zdoudvldq vwdelolw| wkh grphvwlf slj pdunhw lvxqvwdeoh1

Iurp wkh uhvxowv deryh/ lqglfdwlrqv duh wkdw lq wkh srvw wudgh olehudolvdwlrq hqylurq0phqw wkh Dxvwudoldq slj lqgxvwu| lv fkdudfwhulvhg e| erwk Pduvkdooldq dqg Zdoudvldqlqvwdelolw|1

Dv dooxghg wr hduolhu/ wkhuh kdv ehhq vrph glvfxvvlrq dv wr wkh dssursuldwh prghovwuxfwxuh lq wkh wuhdwphqw ri lpsruwv zlwk uhjdugv wr vhdvrqdo lqwhjudwlrq1 Dqdo|vlvxqghuwdnhq e| LULF ^4;` wuhdwhg wkh lpsruw yduldeohv dv U E�� dqg lw lv wkhuhiruhri lqwhuhvw wr vhh zkhwkhu wklv dowhuqdwlyh vshfl�fdwlrq kdv dq| h�hfw rq wkh prghorxwfrphv1 Wkh prgho zdv uhvshfl�hg zlwk wkh lpsruw yduldeohv FDPYT dqg FDPST

4<

Persistence Profile of the effect of a system-wide shock to CV’(s)

CV1

Horizon

0.0

0.2

0.4

0.6

0.8

1.0

0 1 2 3 4 5

Iljxuh 718= Shuvlvwhqfh sur�oh ri wkh frlqwhjudwlqj yhfwru

wuhdwhg dv U E�� h{rjhqrxv yduldeohv1Wkh Mrkdqvhq Pd{lpxp Olnholkrrg whvw iru frlqwhjudwlrq suhvhqwhg lq Wdeoh 7143

vxjjhvwv wkdw wkhuh lv rqh frlqwhjudwlqj yhfwru +Vhh Wdeoh 7144,1

Wdeoh 7143= Mrkdqvhq PO whvw iru FrlqwhjudwlrqMf M� Pd{0Hljhqydoxh OU�o�|cf�fD Wudfh OU�o�|cf�fD

o ' f o ' � eS�2H.D �.�fHff H.�bHbb ..��effo $ � o ' 2 2��SeH� �f�b2ff e��.f2� D��eHffo $ 2 o ' � �e�22Sf 2e��Hff �H�fDe2 ����bffo $ � o ' e ��H2H2 �.��eff ��H2H2 �.��eff

Wdeoh 7144= Frlqwhjudwlqj Yhfwruv7�' ��(' -�' 7�8' ���T' ����'

q� 3f�ffHbfHS f�S.2Df �f3. f�f�HDe� f�ff�D��S f�2Df�f �f3. f�ebe�f �f3�

�q� 3��ffff f�.Debf �f3D 2�fH�D f��.�b2 f�2HfHf �f3D f�fDDeSeFL pdwul{ ' dq�c q2o

Qrupdolvhg FL pdwul{ ')�q�c �q2

K

Jlyhq wkdw wkhuh dsshduv wr eh rqh frlqwhjudwlqj yhfwru zh hvwlpdwh d YHF+5/4,<

prgho zklfk lv suhvhqwhg lq Wdeohv 7145 dqg 71461Wkh uhvxowv lqglfdwh wkdw wkh frlqwhjudwlqj yhfwru lv djdlq rqo| vljql�fdqw iru

wkh uhwdlo sulfh ri srun/ zlwk wkh frlqwhjudwlqj yhfwru ehlqj doprvw vljql�fdqw iruwkh vdoh|dug sulfh iru edfrqhuv +s@31399,1 Lq wklv qhz prgho vshfl�fdwlrq zh fdq

<Wkdw lv/ 5 odjv zlwk 4 HFP1

53

Wdeoh 7145= YHF uhsuhvhqwdwlrq iru slj lqgxvwu|{7�' {��('

q� 7q�

ds0ydoxho q� 7q�

ds0ydoxhokf e�b�fSSe 2fD�.2��df�fDeo ��f�f �f. e�Dbf �f.df�H2HoA ����H� f�H22.Ddf��H�o �2�.f�� �H�eHb�edf�beHo{7�'|3� 3f��eS.� f�2.DSDdf�Sffo 3��.�ee�S S�e.D�bdf�f.fo{7�8'|3� f��D�b� f�2fbfHdf�e.So 3ebH�2�� eSS2b�edf�2bHo{-�'|3� 3f��f�be f��Hf�edf�.H.o �D�HS�. HeH2e��df�HDHo{��('|3� 3f���e.f �f3S f����bf �f3Ddf�b�bo 3f��.eHD f�2ebDSdf��eHo{���T'|3� 3f��f2Df �f3e f�DefSf �f3Ddf�f.2o f�2eD2b ��2fDHdf�He�o{����'|3� 3f�f��eDb f�fefeS�df�.Hfo 3S�2D�� bf2��Sdf�DfDo.���

|3� 32��S�.� �2��HH2df�fSSo 3DDfH2b�e 2.�H2�edf�He�o'�| 32D��2He .�eD.�df�ff�o 3e�H�HSS �SS��22df�f�Do

'2| 3e.��eeD ���S2�.df�ff2o e�fbS2� �f�.b�bdf��b�o

'�| ��fHe� �2��feHdf�Hf�o 3.2fb.��. 2SbbS�Hdf�.b2o

-2 f�.eeD� f�Hebf.

Wdeoh 7146= YHF uhsuhvhqwdwlrq iru slj lqgxvwu|{-�' {7�8'

q� 7q�

ds0ydoxho q� 7q�

ds0ydoxhokf S22�Df2e b��.eHSdf�fffo ����eH�� 2�b��D��df��e�oA 2���e. f��SSb�df�fffo ���f2� f�H.SeSdf��D2o{7�'|3� 3f�fbDbb� f��22bedf�eeeo 3f�2Sb�D f�2b�SDdf��.fo{7�8'|3� f��SeeD f�fb�2e.df�ff�o f�fH�.e. f�222.�df�.��o{-�'|3� 3f�f2fSfS f��SbS�df�bfeo 3f�eHH.� f�efD�.df�2e�o{��('|3� f�.Hf2f �f3S f�ebbff �f3Sd����o f�2f�Df �f3D f���b2f �f3Dd��fSo{���T'|3� 3f�2�S2f �f3D f�2e��f �f3Dd���bo f��S�Sf �f3D f�D.Dbf �f3Dd�.H2o{����'|3� f�f�bf.. f�f�HfeDdf��f2o f�f2Df�f f�fe��f2df�DSHo.���

|3� 3�S�DD.� D�e�D.df�fffo 3�b�.eeS �2�bH�Hdf��e�o'�| 3D�e�ef ���2DHdf���.o 2�fbe� .�bee�df�.bDo

'2| 32e�2fSb S�f.D�df�ff�o 3D�HbHS �e�D�fbdf�SHHo

'�| 3D�e�fD D��bHSdf��2So 3�e�f.�2 �2�HbDfdf�2HHo

-2 f�H���S f��.DbS

54

wkhuhiruh frqfoxgh wkdw wkh dydlodelolw| ri lpsruwv kdv frqvlghudeo| zhdnhqhg wkhgrphvwlf pdunhw uhodwlrqvkls ehwzhhq grphvwlf surgxfhu sulfhv dqg surgxfwlrq1

Wkh ruljlqdo ylhz ri Zdoudvldq vwdelolw| grhv qrw fkdqjh zkhq zh wuhdw lpsruwvdv U E�� h{rjhqrxv yduldeohv/ dv wklv ylhz uholhv rq wkh qrq0vwdwlrqdulw| ri surgxfhusulfhv/ wkdw lv/ VST ehlqj U E��1 Lq wkh frqwhpsrudu| ylhz ri Zdoudvldq vwdelolw|/vwdelolw| lv vhhq lq whupv ri wkh vwdelolw| ri sulfhv dqg wkxv zh fdq ylhz wkh HFP iruwkh surgxfhu sulfh htxdwlrq dv ehlqj lqglfdwlyh ri wklv vwdelolw| surfhvv431 Wkh HFPiru wkh surgxfhu sulfh htxdwlrq lv qrq0vljql�fdqw/ dowkrxjk erughuolqh/ lqglfdwlqj wkdwdw ehvw wkhuh lv zhdn hylghqfh ri Zdoudvldq vwdelolw| lq wkh frqwhpsrudu| ylhz1

Wkh ruljlqdo ylhz ri Pduvkdooldq vwdelolw| uholhv rq wkh h{lvwhqfh ri d vljql�fdqwfrlqwhjudwlqj yhfwru olqnlqj sulfhv dqg rxwsxw1 Vlqfh wkh frlqwhjudwlqj yhfwru lv rqo|vljql�fdqw iru uhwdlo sulfhv/ zlwk zhdn hylghqfh ri d uhodwlrqvkls zlwk surgxfhu sulfhv/wkhuh lv rqo| zhdn hylghqfh ri Pduvkdooldq vwdelolw| lq wkh ruljlqdo vhqvh1 Lq wkhfrqwhpsrudu| ylhz wkh HFP lv qrq0vljql�fdqw iru wkh grphvwlf surgxfwlrq htxdwlrqdqg wkxv wkhuh lv qr hylghqfh ri Pduvkdooldq vwdelolw| lq wkh frqyhqwlrqdo vhqvh1

81 Frqfoxvlrqv

Dxvwudold kdv ehhq dw wkh iruhiurqw ri fdoov iru d pruh iuhhu lqwhuqdwlrqdo wudglqjhqylurqphqw/ erwk lq pxowlodwhudo dqg elodwhudo iruxpv1 Lq grlqj vr wkh jdlqv iurpwudgh kdyh ehhq kljkoljkwhg dv wkh uhzdugv iru orzhulqj eduulhuv wr wudgh1 Wkhvh fodlpvkdyh uholhg rq prghoolqj zrun/ xvxdoo| ri d jhqhudo htxloleulxp qdwxuh/ vkrzlqj odujhjdlqv iurp wkh uhprydo ri wudgh eduulhuv1 Prvw ri wkhvh prghov kdyh udwkhu uhvwulfwlyhdvvxpswlrqv/ vxfk dv shuihfw frpshwlwlrq dqg frqvwdqw uhwxuqv wr vfdoh zklfk/ zklohhqdeolqj wkh prgho wr eh wudfwdeoh/ uhvxowv lq rxwfrphv zklfk pd| ru pd| qrw kroglq uhdolw|1

Wkh exujhrqlqj olwhudwxuh rq wudgh xqghu lpshuihfw frpshwlwlrq vxjjhvwv wkdwzkhq idfwru pdunhw glvwruwlrqv/ roljrsrolvwlf �upv dqg vfdoh hfrqrplhv duh wdnhq lqwrfrqvlghudwlrq wkh uhvxowv duh qrw vr fohdu fxw/ dqg wkdw jdlqv iurp wudgh pd| ru pd|qrw hyhqwxdwh xqghu wkhvh grphvwlf glvwruwlrqv1 Dw wklv srlqw zh duh dw sdlqv wrhpskdvl}h wkdw wklv lv qrw dq dujxphqw iru surwhfwlrq xqghu wkh wkhru| ri wkh vhfrqgehvw exw udwkhu dq dujxphqw iru wkh uhprydo ri wkh grphvwlf glvwruwlrq1

Idfwru pdunhw glvwruwlrqv dqg vfdoh hfrqrplhv pd| uhvxow lq shuyhuvh Vwroshu0Vdpxhovrq dqg U|ef}|qvnl h�hfwv zklfk glvdsshdu li wkh pdunhw lv fkdudfwhulvhge| Pduvkdooldq vwdelolw|1 Ixuwkhu/ wkh uhvxowlqj htxloleulxp iurp frpsdudwlyh vwdwlfvlpxodwlrqv lv vwdeoh xqghu Vdpxhovrq*v Joredo Fruuhvsrqghqfh Sulqflsoh li dqg rqo|li wkh pdunhw lv Pduvkdooldq vwdeoh1

Lq wklv sdshu zh kdyh h{dplqhg wkh pdunhw g|qdplfv ri wkh Dxvwudoldq slj lqgxvwu|wr ghwhuplqh zkhwkhu ru qrw wkh frpsdudwlyh vwdwlf dujxphqwv iru jdlqv iurp wudghfdq eh dssolhg zlwk frq�ghqfh wr wkh Dxvwudoldq slj lqgxvwu|1

Rxu dqdo|vlv uholhv rq hfrqrphwulfdoo| whvwlqj iru pdunhw vwdelolw| lq d Yhfwru HuuruFruuhfwlrq +YHF, iudphzrun1 Zh xvh wkh shuvlvwhqfh sur�oh ri wkh huuru fruuhfwlrqphfkdqlvp +HFP,/ zklfk vkrzv wkh vshhg ri dgmxvwphqw ri wkh pdunhw edfn wr htxl0oleulxp/ dv d uhsuhvhqwdwlrq ri Pduvkdooldq vwdelolw| lq lwv ruljlqdo phdqlqj1 Wkhruljlqdo ylhz ri Zdoudvldq vwdelolw| zdv wkh vshhg ri dgmxvwphqw ri wkh wåwrqqhphqwsurfhvv ri sulfhv1 Zh ylhz wkh +qrq0,vwdwlrqdulw| ri sulfhv xqghu d xqlw0urrw surfhvv dv

43Wkh dqdo|vlv lq wklv sdshu zdv fduulhg rxw xvlqj Plfur�w 713 ^5<`1 Lq wklv yhuvlrq wkh lpsxovh0uhvsrqvh ixqfwlrqv dqg shuvlvwhqfh sur�ohv ri wkh HFP lq wkh suhvhqfh ri U E�� h{rjhqrxv yduldeohvduh qrw dydlodeoh1

55

d uhsuhvhqwdwlrq ri wkh +lq,vwdelolw| ri wkh wåwrqqhphqw surfhvv1 Lq wkh frqwhpsrudu|ylhz ri Pduvkdooldq dqg Zdoudvldq vwdelolw| wkh vshhg ri dgmxvwphqw ri surgxfwlrqdqg sulfhv duh vhhq dv phdvxuhv ri vwdelolw| uhvshfwlyho|1 Zh xvh wkh lpsxovh0uhvsrqvhixqfwlrqv ri wkh frlqwhjudwlqj yhfwruv lq wkh lqglylgxdo htxdwlrqv dv phdvxuhv ri wklvvwdelolw|1

Wkh uhvxowv vxjjhvw wkdw sulru wr wudgh olehudolvdwlrq wkh Dxvwudoldq slj lqgxvwu|zdv fkdudfwhulvhg e| erwk Pduvkdooldq dqg Zdoudvldq vwdelolw| lq erwk wkh ruljlqdodqg frqwhpsrudu| ylhz1 Diwhu wudgh olehudolvdwlrq wkh pdunhw lv fkdudfwhulvhg e| erwkPduvkdooldq dqg Zdoudvldq lqvwdelolw|/ zlwk zhdn hylghqfh ri Pduvkdooldq vwdelolw| lqlwv ruljlqdo phdqlqj dqg zhdn hylghqfh ri Zdoudvldq vwdelolw| lq lwv frqwhpsrudu|phdqlqj +Vhh Wdeoh 814,1

Wdeoh 814= Pduvkdooldq dqg Zdoudvldq vwdelolw|Pduvkdooldq Zdoudvldq �bbf : �bbf �bbf : �bbf

Ruljlqdo ylhz & fq & fFrqwhpsrudu| ylhz & f & fq

Wkh zhdn hylghqfh ri Pduvkdooldq dqg Zdoudvldq vwdelolw| lq wkh srvw wudgh ole0hudolvdwlrq ri wkh Dxvwudoldq slj lqgxvwu| lv edvhg rq d prgho vwuxfwxuh wkdw wuhdwvlpsruwv dv iroorzlqj d U E�� surfhvv zkhuhdv wkh dydlodeoh hylghqfh vxjjhvwv wkdw lp0sruwv duh lq idfw vhdvrqdoo| lqwhjudwhg1 Li rqh dvvxphv vhdvrqdo lqwhjudwlrq lq wkhprgho wkhq wkh fdvh iru erwk Zdoudvldq dqg Pduvkdooldq lqvwdelolw| lv vwurqjhu1 Lirqh wdnhv wkh frqwhpsrudu| ylhz wkhq Pduvkdooldq lqvwdelolw| lv irxqg luuhvshfwlyh riwkh prgho vwuxfwxuh dvvxphg dqg Vdpxhovrq*v Joredo Fruuhvsrqghqfh Sulqflsoh qrorqjhu krogv1

Wkh uhvxowv ri rxu dqdo|vlv vxjjhvwv vhyhudo wklqjv1 Iluvwo| wkdw wudgh olehudol0vdwlrq kdv fkdqjhg wkh pdunhw vwuxfwxuh ri wkh Dxvwudoldq slj lqgxvwu|1 Sulru wrwudgh olehudolvdwlrq frpsdudwlyh vwdwlf srolf| vlpxodwlrqv/ uho|lqj rq wkh dvvxpswlrqri Pduvkdooldq vwdelolw|/ zhuh vwloo ydolg1 Diwhu wudgh olehudolvdwlrq wkh Dxvwudoldq sljlqgxvwu| dsshduv wr eh fkdudfwhulvhg e| Pduvkdooldq lqvwdelolw|/ lqglfdwlqj wkdw frp0sdudwlyh vwdwlf srolf| vlpxodwlrqv pd| qrw eh ydolg1 Frqvhtxhqwo|/ lq wkh srvw0uhiruphud srolf| frqfoxvlrqv zlwk uhvshfw wr wkh Dxvwudoldq slj lqgxvwu| wkdw duh edvhg rqhlwkhu wkh Vwroshu0Vdpxhovrq ru U|ef}|qvnl wkhruhpv vkrxog eh ylhzhg zlwk fdxwlrq1Lq dgglwlrq wkhuh lv vrph txhvwlrq dv wr zkhwkhu wudgh olehudolvdwlrq lv olnho| wr ohdgwr zhoiduh jdlqv/ ehfdxvh ri wkh lqvwdelolw| ri wkh uhvxowdqw pdunhw doorfdwlrq1 Wklvvkrxog qrw eh lqwhusuhwhg dv vxjjhvwlqj wkdw wudgh olehudolvdwlrq zloo qrw ohdg wr jdlqviurp wudgh/ udwkhu wkdw dq| vxfk jdlqv duh qrw vwdeoh1 Ixuwkhu/ vxfk lqvwdelolw| lv dqduwhidfw ri wkh pdunhw vwuxfwxuh dqg wkdw wkh hyroxwlrq ri wkh pdunhw vwuxfwxuh xqghuvwuxfwxudo dgmxvwphqw pd| hyhqwxdoo| uhvxow lq Pduvkdooldq vwdelolw| ehlqj lpsrvhgrq wkh pdunhw1 Hyhq lq wkh suhvhqfh ri Zdoudvldq lqvwdelolw|/ gxh wr Vdpxhovrq*vJoredo Fruuhvsrqghqfh Sulqflsoh/ frpsdudwlyh vwdwlf srolf| vlpxodwlrqv zloo eh ydolgvr orqj dv wkh pdunhw lv Pduvkdooldq vwdeoh11 Vlqfh hljkw |hduv kdyh sdvvhg vlqfh wkhlqwurgxfwlrq ri lpsruwv lq wkh Dxvwudoldq slj lqgxvwu| lw lv ri lqwhuhvw wr vhh krzorqjhu vwuxfwxudo dgmxvwphqw ri wkh pdunhw frqwlqxhv ehiruh vwdelolw| lv uh0lpsrvhg1

56

Uhihuhqfhv

^4` DEDUH1 ydulrxv lvvxhv1 Frpprglw| Vwdwlvwlfdo Exoohwlq1 Fdqehuud= DxvwudoldqExuhdx ri Djulfxowxudo dqg Uhvrxufh Hfrqrplfv1

^5` Dxvwudoldq Exuhdx ri Vwdwlvwlfv1 ydulrxv lvvxhv1 DEV :54813 Djulfxowxudo Vwdwlv0wlfv1 Fdqehuud= Dxvwudoldq Exuhdx ri Vwdwlvwlfv1

^6` Dqghuvrq/ M1 4<<;1 R*Nhhih uhyhdov k|srfulv| rq slj lqgxvwu|= Phgld Uhohdvh/Ihghudo Plqlvwhu iru Sulpdu| Lqgxvwulhv dqg Hqhuj|/ Pu1 Mrkq Dqghuvrq1 Fdq0ehuud= Ghsduwphqw ri Sulpdu| Lqgxvwulhv dqg Hqhuj| +44 Mxqh 4<<;,1

^7` Dqghuvrq/ M1 dqg W1 Ilvkhu1 4<<;1Jryhuqphqw dqqrxqfhv slj lqgxvwu| dvvlvwdqfh=Mrlqw Vwdwhphqw/ Ihghudo Plqlvwhu iru Sulpdu| Lqgxvwulhv dqg Hqhuj|/ Pu1 MrkqDqghuvrq dqg Ghsxw| Sulph Plqlvwhu dqg Plqlvwhu iru Wudgh/ Wlp Ilvkhu1 Fdq0ehuud= Ghsduwphqw ri Sulpdu| Lqgxvwulhv dqg Hqhuj| +43 Mxqh 4<<;,1

^8` Dxvwudoldq Srun Frusrudwlrq1 ydulrxv lvvxhv1 SljVwdwv/ Dxvwudoldq Slj Lqgxvwu|Kdqgerrn1 V|gqh|= Dxvwudoldq Srun Frusrudwlrq1

^9` Duurz/ N1M1/ K1G1 Eorfn/ dqg O1 Kxuzlf}1 4<8<1 Rq wkh vwdelolw| ri wkh frpshw0lwlyh htxloleulxp/ LL1 Hfrqrphwulfd 5:1

^:` Duurz/ N1M1 dqg O1 Kxuzlf}1 4<8;1 Rq wkh vwdelolw| ri wkh frpshwlwlyh htxlole0ulxp/ L1 Hfrqrphwulfd 591

^;` Frpwh/ I1 4<<<1 Glvfuhwh dqg frqwlqxrxv wlph frlqwhjudwlrq1 Mrxuqdo ri Hfrqr0phwulfv1 ;;=53:05591

^<` Gdylhv/ G1J1 4<961 D qrwh rq Pduvkdooldq yhuvxv Zdoudvldq vwdelolw| frqglwlrqv1Wkh Fdqdgldq Mrxuqdo ri Hfrqrplfv dqg Srolwlfdo Vflhqfh1 5<=86808731

^43` Glfnh|/ G1 D1/ G1S1 Kdv}d dqg Z1 D1 Ixoohu1 4<;71 Whvwlqj iru xqlw urrwv lqvhdvrqdo wlph vhulhv1 Mrxuqdo ri wkh Dphulfdq Vwdwlvwlfdo Dvvrfldwlrq :<=688069:1

^44` Hqghuv/ Z1 4<<81 Dssolhg hfrqrphwulf wlph vhulhv1 Qhz \run= Mrkq Zloh| dqgVrqv1

^45` K|oohehuj/ V1/ U1I1 Hqjoh/ F1Z1M1 Judqjhu dqg E1V1 \rr1 4<<31 Vhdvrqdo lqwhjud0wlrq dqg frlqwhjudwlrq1 Mrxuqdo ri Hfrqrphwulfv 77=548056;1

^46` Lgh/ W1 dqg D1 Wdnd|dpd1 4<;;d1 Vfdoh hfrqrplhv/ shuyhuvh frpsdudwlyh vwdwlfvuhvxowv/ wkh Pduvkdooldq vwdelolw| dqg wkh orqj0uxq htxloleulxp iru d vpdoo rshqhfrqrp|1 Hfrqrplfv Ohwwhuv1 5:=58:05961

^47` Lgh/ W1 dqg D1 Wdnd|dpd1 4<;;e1 Pduvkdooldq vwdelolw|/ orqj0uxq htxloleulxp dqgwkh sdwwhuq ri vshfldol}dwlrq xqghu idfwru0pdunhw glvwruwlrqv lq wkh sxuh wkhru|ri lqwhuqdwlrqdo wudgh1 Hfrqrplfv Ohwwhuv1 5:=59805:31

^48` Lgh/ W1 dqg D1 Wdnd|dpd1 4<<3d1 Pduvkdooldq vwdelolw| dqg orqj0uxq htxloleulxplq wkh wkhru| ri lqwhuqdwlrqdo wudgh zlwk idfwru pdunhw glvwruwlrqv dqg yduldeohvuhwxuqv wr vfdoh1 Hfrqrplfv Ohwwhuv1 66=434043;1

57

^49` Lgh/ W1 dqg D1 Wdnd|dpd1 4<<3e1 Yduldeoh uhwxuqv wr vfdoh dqg wkh Joredo Fru0uhvsrqghqfh Sulqflsoh lq wkh wkhru| ri lqwhuqdwlrqdo wudgh1 Hfrqrplfv Ohwwhuv166=634063;1

^4:` Lqghu/ E1 4<<;1 Fdqdgldq srun lpsruwv dqg wkh Dxvwudoldq sljphdw pdunhw= Uh0ylhz ri prghoolqj uhsruwv iru wkh Surgxfwlylw| Frpplvvlrq1 Ghsduwphqw ri Hfrqr0phwulfv dqg Exvlqhvv Vwdwlvwlfv/ Prqdvk Xqlyhuvlw|1 Fod|wrq= Prqdvk Xqlyhuvlw|1

^4;` Lqvwlwxwh iru Uhvhdufk lqwr Lqwhuqdwlrqdo Frpshwlwlyhqhvv1 4<<;1 Txdqwlwdwlyhdqdo|vlv ri wkh lpsdfw ri lpsruwv rq wkh grphvwlf slj dqg sljphdw lqgxvwulhv= Duhsruw suhsduhg iru wkh Surgxfwlylw| Frpplvvlrq1 Lqvwlwxwh iru Uhvhdufk lqwr Lq0whuqdwlrqdo Frpshwlwlyhqhvv dqg Pxuhvn Lqvwlwxwh ri Djulfxowxuh1 Shuwk= FxuwlqXqlyhuvlw| ri Whfkqrorj|1

^4<` Nuxjpdq/ S1U1 4<;:1 Lqfuhdvlqj uhwxuqv dqg wkh wkhru| ri lqwhuqdwlrqdo wudgh1 LqDgydqfhv lq hfrqrplf wkhru|/ Iliwk Zruog Frqjuhvv1 hg1 W1I1 Ehzoh| 634065;1Fdpeulgjh= Fdpeulgjh Xqlyhuvlw| Suhvv

^53` Nuxjpdq/ S1U1 4<;<1 Lpsruw surwhfwlrq dv h{sruw surprwlrq= Lqwhuqdwlrqdo frp0shwlwlrq lq wkh suhvhqfh ri roljrsro| dqg hfrqrplhv ri vfdoh1 Lq Prqrsrolvwlf frp0shwlwlrq dqg lqwhuqdwlrqdo wudgh1 hg1 K1 Nlhu}nrzvnl 430661 R{irug= FoduhqgrqSuhvv1

^54` Oduxh/ E1 4<<;1 Dq dvvhvvphqw ri Wlp Sxufhoo dqg Vwhyh Kduulvrq* ^vlf` uhsruwhqwlwohg= �Wkh lpsdfw ri wudgh olehudol}dwlrq dqg lqfuhdvlqj lpsruwv rq Dxvwudoldqslj sulfhv�1 Fhqwuh gh Uhfkhufkh hq Hfrqrplh Djurdolphqwdluh +FUHD, Xqlyhu0vlwì Odydo/ Vwh0Ir|/ Txhehf1

^55` Pdunxvhq/ M1U1 dqg M1U1 Phoylq1 4<;<1 Wkh jdlqv0iurp0wudgh wkhruhp zlwk lq0fuhdvlqj uhwxuqv wr vfdoh1 Lq Prqrsrolvwlf frpshwlwlrq dqg lqwhuqdwlrqdo wudgh1hg1 K1 Nlhu}nrzvnl 430661 R{irug= Foduhqgrq Suhvv1

^56` Pduvkdoo/ D1 4<531 Sulqflsohv ri hfrqrplfv= Dq lqwurgxfwru| yroxph1 +;|� hg1,Orqgrq= Pdfplooldq1

^57` Qhdu|/ M1S1 4<:;d1 G|qdplf vwdelolw| dqg wkh wkhru| ri idfwru pdunhw glvwruwlrq1Dphulfdq Hfrqrplf Uhylhz1 9;=9:409;51

^58` Qhdu|/ M1S1 4<:;e1 Vkruw0uxq fdslwdo vshfl�flw| dqg wkh sxuh wkhru| ri lqwhuqd0wlrqdo wudgh1 Hfrqrplf Mrxuqdo1 ;;=7;;08431

^59` Rveruq/ G1U1/ D1S1O1 Fkxl/ M1S1 Vplwk dqg F1U1 Elufkhqkdoo1 4<;;1 Vhdvrqdolw|dqg wkh rughu ri lqwhjudwlrq iru frqvxpswlrq1 R{irug Exoohwlq ri Hfrqrplfv dqgVwdwlvwlfv1 83=69406::1

^5:` Rveruq/ G1U1/ dqg S1P1P1 Urguljxhv1 4<<;1 Wkh dv|pswrwlf glvwulexwlrqv ri vhd0vrqdo xqlw urrw whvwv= D xqli|lqj dssurdfk1 Plphr1 Vfkrro ri Hfrqrplf Vwxglhv/Xqlyhuvlw| ri Pdqfkhvwhu1

^5;` Sdqdjdul|d/ D1 4<;31 Yduldeoh uhwxuqv wr vfdoh lq jhqhudo htxloleulxp wkhru| rqfhdjdlq1 Mrxuqdo ri Lqwhuqdwlrqdo Hfrqrplfv1 43=7<<08591

^5<` Shvdudq/ P1K1 dqg E1 Shvdudq1 4<<:1 Plfur�w 713= Dq lqwhudfwlyh hfrqrphwulfvriwzduh sdfndjh1 R{irug= R{irug Xqlyhuvlw| Suhvv1

58

^63` Shvdudq/ P1 K1 dqg \1 Vklq1 4<<91 Frlqwhjudwlrq dqg vshhg ri frqyhujhqfh wrhtxloleulxp1 Mrxuqdo ri hfrqrphwulfv1 :4=44:04761

^64` Sxufhoo/ W1G1 dqg V1 Kduulvrq1 4<<;1 Wkh lpsdfw ri wudgh olehudolvdwlrq dqg lq0fuhdvlqj lpsruwv rq wkh Dxvwudoldq slj lqgxvwu|= D vxeplvvlrq wr wkh Surgxfwlylw|Frpplvvlrq Lqtxlu| rq Slj dqg Sljphdw Lqgxvwulhv= Vdihjxdug Dfwlrq DjdlqvwLpsruwv rq ehkdoi ri wkh Ghsduwphqw ri Sulpdu| Lqgxvwulhv/ Txhhqvodqg1 Eulv0edqh= Ghsduwphqw ri Sulpdu| Lqgxvwulhv/ Txhhqvodqg1

^65` Txhhqvodqg Srun Surgxfhuv* Rujdqlvdwlrq1 4<<;1 Zhhno| lqglfdwlyh sulfhv irusrunhuv dqg edfrqhuv1 Xqsxeolvkhg gdwdvhw1 Eulvedqh= Txhhqvodqg Srun Surgxf0huv* Rujdqlvdwlrq1

^66` Wdnd|dpd/ D1 4<:71 Pdwkhpdwlfdo hfrqrplfv1 Klqvgdoh/ Loolqrlv= Gu|ghq Suhvv1

^67` Qhzpdq/ S1 4<981 Wkh wkhru| ri h{fkdqjh1 Hqjohzrrg Fol�v/ Qhz Mhuvh|=Suhqwlfh0Kdoo1

^68` Kdqvhq/ K1 dqg N1 Mxvholxv1 4<<81 FDWV lq UDWV= Frlqwhjudwlrq Dqdo|vlv riWlph Vhulhv1 Frshqkdjhq= Lqvwlwxwh ri Hfrqrplfv/ Xqlyhuvlw| ri Frshqkdjhq1

^69` Klfnv/ M1U1 4<791 Ydoxh dqg fdslwdo1 +5qg hg1,1 R{irug= Foduhqgrq Suhvv1

^6:` Vdpxhovrq/ S1D1 4<7:1 Irxqgdwlrqv ri hfrqrplf dqdo|vlv1 Fdpeulgjh/ Pdvvdfxw0vhwwv= Kduydug Xqlyhuvlw| Suhvv1

^6;` Vwrhfnho/ D1/ G1 Shdufh dqg J1 Edqnv1 4<<31 Zhvwhuq wudgh eorfnv= Jdph vhw rupdwfk iru Dvld0Sdfl�f dqg wkh zruog hfrqrp|B Fdqehuud= Fhqwuh iru Lqwhuqd0wlrqdo Hfrqrplfv1

^6<` Zdoudv/ O1 4<871 Hohphqwv ri sxuh hfrqrplfv1 4<59 hg1 wudqvodwlrq e| Z1 Md�ì1Orqgrq= Jhrujh Doohq ) Xqzlq1

59