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 Case for Price Stability

WP 01-02

Marvin Goodfriend
Federal Reserve Bank of Richmond
Robert G. King
Boston University

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

The Case for Price Stability
Marvin Goodfriend

Robert G. King¤

Federal Reserve Bank of Richmond Working Paper No. 01-02
April 2001
JEL Nos. E3, E5, E6
Keywords: in‡ation persistence, markup constancy, neutral monetary policy, new neoclassical
synthesis, optimal monetary and …scal policy, price level stability, real business cycles, sticky
wages and prices

Abstract
Reasoning within the New Neoclassical Synthesis (NNS) we previously recommended that price stability should be the primary objective of monetary policy. We
called this a neutral policy because it keeps output at its potential, de…ned as the outcome of an imperfectly competitive real business cycle model with a constant markup
of price over marginal cost. We explore the foundations of neutral policy more fully
in this paper. Using the principles of public …nance, we derive conditions under which
markup constancy is optimal monetary policy.
Price stability as the primary policy objective has been criticized on a number of
grounds which we evaluate in this paper. We show that observed in‡ation persistence
in U.S. time series is consistent with the absence of structural in‡ation stickiness as is
the case in the benchmark NNS economy. We consider reasons why monetary policy
might depart from markup constancy and price stability, but we argue that optimal
departures are likely to be minor. Finally, we argue that the presence of nominal wage
stickiness in labor markets does not undermine the case for neutral policy and price
stability.

¤

Goodfriend is Senior Vice President and Policy Advisor at the Federal Reserve Bank of Richmond. King
is Professor of Economics at Boston University, an NBER research associate, and a consultant to the FRB
Richmond. The paper was prepared for the First ECB Central Banking Conference, Why Price Stability?,
Frankfurt, Germany, November 2000. We thank our discussants Jordi Gali and Guido Tabellini for valuable
comments. Our opinions do not necessarily represent those of the Federal Reserve Bank of Richmond or
the Federal Reserve System.

 W?|hL_U|L?
*_?} L? ?i U*@ttU@* 4@UhLiUL?L4Ut @?_ hi@* Mt?itt U)U*i E+ @?@*)ttc
4@UhLiUL?L4U 4L_i*t Lu |i i iLU*@ttU@* 5)?|itt E5 ?ULhTLh@|i ?
|ih|i4TLh@* LT|43@|L? @?_ h@|L?@* i TiU|@|L?t ?|L _)?@4U 4@UhLiUL?L4U
4L_i*t *_?} L? i ki)?it@? iUL?L4Utc |i ?i t)?|itt 4L_i*t ?ULhTL
h@|i 4TihuiU| UL4Ti||L? @?_ ULt|*) ThUi @_t|4i?| w!i |i + ThL}h@4c
|i i iLU*@ttU@* 5)?|itt tii!t |L _ii*LT ^@?||@|i 4L_i*t Lu iUL?L4U
U|@|L?t
Ai UL4M?@|L? Lu h@|L?@* uLh@h_*LL!?} ThUi ti||?}c 4L?LTL*t|U UL4
Ti||L?c @?_ + UL4TL?i?|t ? Mi?U4@h! 5 4L_i*t ThL_it UL?t_ih@M*i
}_@?Ui uLh 4L?i|@h) TL*U)c @t i ThiLt*) t|hitti_ ? BLL_uhi?_ @?_ k?}
Ebb. L?i|@h) TL*U) 4t| hitTiU| |i + _i|ih4?@?|t Lu hi@* iUL?L4U
@U||) L? @ih@}i Lih |4i ,i? |L} L|T| 4@) Mi _i4@?_ _i|ih4?i_
L? @ TihL_M)TihL_ M@tt _i |L 4L?LTL*t|U UL4Ti||L? @?_ t|U!) ThUitc
L|T| 4t| Mi tTT*) _i|ih4?i_ L? @ih@}i Ai 5 *LU@|it |i |h@?t4t
tL? Lu 4L?i|@h) TL*U) |L hi@* iUL?L4U @U||) ? |t ?i?Ui L? |i h@|L Lu |i
@ih@}i €h4<t ThUi |L |t 4@h}?@* ULt| Lu ThL_U|L?c U i U@** |i @ih@}i
4@h!T  4L?i|@h) TL*U) @U|L? |@| h@tit @}}hi}@|i _i4@?_ h@tit 4@h}?@*
ULt| @?_ *Liht |i @ih@}i 4@h!T Ai *Lih 4@h!T Lh!t *!i @ hi_U|L? ?
|i |@ h@|i L? Lh! igLh| ? @? + 4L_i* |L tt|@? @? ?Uhi@ti ? L|T| @?_
i4T*L)4i?|
Aihi t *||*i *L?} h? |h@_iLg Mi|ii? ?@|L? @?_ hi@* @U||) @| *L h@|it
Lu ?@|L? @?_ @ TLt|i *L?} h? hi*@|L?tT @| }ih ?@|L? LhiLihc
|i t|i@_) t|@|i 4@h!T t 4?43i_ @| E?i@h 3ihL ?@|L? Oi?Uic hi@tL??}
|? |i i iLU*@ttU@* 5)?|itt i hiUL44i?_i_ 4@!?} ThUi t|@M*|) |i
LMiU|i Lu 4L?i|@h) TL*U) `i _itUhMi_ t|@M*3@|L? Lu |i ThUi *ii* T@| @t
@ ?i|h@* TL*U) MiU@ti | !iiTt L|T| @| |t TL|i?|@*c _i€?i_ @t |i L|UL4i Lu
@? 4TihuiU|*) UL4Ti||i + 4L_i* tL |@| TL|i?|@* L|T| t T*@tM*) u@h
uhL4 UL?t|@?| |hL} |4i @t @}i?|t hitTL?_ |L ThL_U||) tLU!t @?_ L|ih
4Zh dvvrfldwh d eurdg udqjh ri prghov zlwk wkh Qhz Qhrfodvvlfdo V|qwkhvlv1 Rxu ylhz lv

wkdw QQV prghov ihdwxuh d, frpsohwh plfurhfrqrplf irxqgdwlrqv dv lq UEF hfrqrplhv/ dqg e,
lpshuihfw frpshwlwlrq dqg vwlfn| sulfhv dv lq Qhz Nh|qhvldq hfrqrplfv1 Lq rxu hduolhu sdshu zh
srlqwhg rxw wkdw wkh ehqfkpdun QQV prgho/ rqh lq zklfk sulfhv duh vwlfn| exw qhlwkhu lqdwlrq
qru qrplqdo zdjhv duh vwlfn|/ surylghg sduwlfxodu jxlgdqfh iru prqhwdu| srolf|/ qdpho|/ d fdvh
iru sulfh vwdelolw|1 Lq wklv sdshu/ zh h{soruh lq juhdwhu ghswk wkh vwurqj fdvh iru sulfh vwdelolw|
lpsolhg e| wkh ehqfkpdun QQV prgho1

_t|hM@?Uit i|h@* TL*U) 4t| Mi @U|t| |L 4@?@}i @}}hi}@|i _i4@?_ ?
Lh_ih |L @UUL44L_@|i 4Li4i?|t ? TL|i?|@* L|T| |L} |4i
W? Lh ThLh T@Tihc i @h}i_ ?uLh4@**) |@| |i Ui?|h@* M@?! tL*_ t|@M*3i
|i ThUi *ii* uLh |hii hi@tL?t 6ht|c 4@h!T UL?t|@?U) L*_ 4@!i |i hi@*
iUL?L4) hitTL?_ |L tLU!t @t u @** ThUit ihi TihuiU|*) i M*i 5iUL?_c 4@h!T
UL?t|@?U) ULhhitTL?_t |L |@ t4LL|?} ? |i TM*U €?@?Ui *|ih@|hi Ah_c
4@h!T UL?t|@?U) t UL?tt|i?| | |i |h@_|L?@* uLUt ? 4@UhLiUL?L4Ut L?
i*4?@|?} }@Tt Mi|ii? @U|@* @?_ TL|i?|@* L|T|
W? |t T@Tih i i T*Lhi |i ?_ihT???}t Lu Lh hiUL44i?_@|L? uLh ThUi
t|@M*|)c 4@h!T UL?t|@?U)c @?_ ?i|h@* TL*U) `i _L tL M) i T*L|?} |i
t|hi?}|t Lu |i i iLU*@ttU@* 5)?|itt 4Lhi u**) |@? i __ ? |i *@t|
T@Tih Ai + ULhi Lu 5 4L_i*t @**Lt t |L Mh?} |i |LL*t Lu }i?ih@*
i^*Mh4 i*u@hi @?@*)tt |L Mi@h L? |i ^it|L? Lu LT|4@* 4L?i|@h) TL*U)
h t|h@|i}) t |L |*3i ThLUi_hit _ii*LTi_ ? |i }i?ih@* i^*Mh4 *|ih@
|hi L? LT|4@* |@ TL*U) |L i@*@|i UL?_|L?t ?_ih U |@ h@|it tL*_
Mi u**) t4LL|i_ Lih t|@|it Lu ?@|hi @?_ |4i `i |i? i T*Lhi i|ih |i
4@h!T tL*_ Mi u**) t4LL|i_ @UhLtt t|@|it Lu ?@|hi ? @ ih) t4T*i 5
4L_i* W? |t hi}@h_c i M*_ L? Whi*@?_<t EbbS @?@*)tt Lu @? 5 4L_i*
| Thiti| ThUit @?_ k?} @?_ `L*4@?<t Ebbb @?@*)tt Lu @ t|@}}ihi_ ThU?}
4L_i* W? }i?ih@*c TihuiU| |@ h@|i t4LL|?} t ?L| LT|4@* ? |i TM*U €?@?Ui
*|ih@|hi T|4@* t|@|i _iTi?_i?| |@ h@|i TL*U) ** _iTi?_ L? |i ?@|hi
Lu |i Thiuihi?Uit @?_ |i tLU!t OLiihc ? |i 4@UhLiUL?L4U UL?|i |c |@
h@|i t4LL|?} |h?t L| |L Mi @ hi*@|i*) }LL_ @TThL 4@|L? |L |i LT|442
5iU|L? 2 _ii*LTt |i 4i|L_L*L}) uLh _i|ih4??} LT|4@* |@ TL*U) ? @
Thi*) hi@* TM*U €?@?Ui uh@4iLh! @?_ _i4L?t|h@|it |i uLh4@* UL?_|L?t uLh
?UL4i |@ h@|i t4LL|?} Ai Thiti?|@|L? t ? |L T@h|t 6ht|c |i UL?_|L?t
uLh LT|4@* |@ TL*U) @hi _ihi_ uLh @ t4@** LTi? iUL?L4) W? @__|L? |L Mi?}
Lu ?|ihit| uLh |Lti UL?|hit ? |t U@|i}Lh)c |i €ht| t|@}i @?@*)tt @**Lt t |L
?|hL_Ui |i Th?UT*it Lu |@ TL*U) | |i t4T*€U@|L? |@| €?@?U@* ThUit
@?_ i@*| @hi t|@M*3i_ M) @UUitt |L ?|ih?@|L?@* €?@?U@* 4@h!i|t W? @ tiUL?_
t|iTc LT|4@* |@ TL*U) t U@h@U|ih3i_ uLh @ U*Lti_ iUL?L4) @t t @TThLTh@|i
uLh *@h}i*) U*Lti_ iUL?L4it tU @t |i ,hL @hi@ @?_ |i N?|i_ 5|@|it
W? 5iU|L? c Th?UT*it uhL4 TM*U €?@?Ui @hi |*3i_ |L _ihi LT|4@*
4L?i|@h) TL*U) |? @ t4T*i 5 4@UhL4L_i* | ?L?t|Lh@M*i L|T| @?_
5Fkdul/ Fkulvwldqr/ dqg Nhkrh +4<<7, uhsruw wkdw wkhuh lv d txdqwlwdwlyh suhvxpswlrq lq d
uhdo exvlqhvv f|foh prgho wkdw rswlpdo oderu wd{ udwhv vkrxog eh frqvwdqw1

2

L?*) L?iTihL_ ThUi t|U!?itt At @TT*U@|L? uLh4@**) **t|h@|it |i U@ti uLh
4@h!T UL?t|@?U) @?_ ThUi *ii* t|@M*|) @t @? LMiU|i uLh 4L?i|@h) TL*U)
W? 5iU|L? e i i T*L| 4TLh|@?| ui@|hit Lu |i ?@Mh_}i_ 5 4L_i* ?
Lh_ih |L _ii*LT 4Lhi u**) |i @h}4i?| uLh ThUi t|@M*|) Ai t|hU|hi Lu |i
UL4T*i|i 5 4L_i* | t|Lh@M*i L|T| EU@T|@* @?_ t|@}}ihi_ ThUi ti||?}
t *@_ L| Ai 4iU@?Ut Lu |i UL4T*i|i 4L_i* @hi hiii_ @t @ Thi*_i |L
|i @?@*)tt |@| uL**Lt
5iU|L? D uLUtit L? |i ?@|hi Lu ?@|L? _)?@4Ut ? 5 4L_i*t ?
4TLh|@?| ui@|hi Lu Mi?U4@h! 5 4L_i*t | t|@}}ihi_ ThUi ti||?} t |@|
@*|L} |i ThUi *ii* t t|U!)c ?@|L? t ?L|G |ihi t ?L ?ihi?| Et|hU|h@*
Tihtt|i?Ui |L ?@|L? ? |i 4L_i* Ai @Mti?Ui Lu t|hU|h@* ?@|L? Tihtt
|i?Ui t L?i hi@tL? ) |i Tht| Lu ThUi t|@M*|) t LT|4@* ? |i M@tU 5
4L_i*G ThUi t|@M*|) @*@)t t|@M*3it L|T| @| |t TL|i?|@*
vi| N5 4@UhL _@|@ i M| ?@|L? Tihtt|i?Ui Wu t|hU|h@* ?@|L? Tih
tt|i?Ui ihi @ ui@|hi Lu @U|@* ThUi ti||?}c |i? 4L?i|@h) TL*U) L*_ @i
|L UL?uhL?| @ tLh|h? |h@_iLg ? ?@|L? @?_ L|T| hi*@|i |L |t TL|i?|@*
hUi t|@M*|) L*_ @i |L Mi t@Uh€Ui_ @| |4it ? Lh_ih |L t|@M*3i L|T| @|
|t TL|i?|@* 5iU|L? D @__hittit |t 4TLh|@?| i4ThU@* ^it|L? `i tL
|@| @? 5 4L_i* | i M*i ?@|L? U@? i@t*) }i?ih@|i _@|@ |@| @TTi@h
|L i M| ?@|L? Tihtt|i?Ui @t ? N5 4@UhL _@|@ `i @h}i |@| ?@|L?
Tihtt|i?Ui ? |i N5 hit*|t uhL4 |i @) |@| |i 6i_ih@* +itihi @t Thti_
4L?i|@h) TL*U)c tTiU€U@**) L |i Ui?|h@* M@?! @t @**Li_ |i 4@h!T |L
UL@h) | ?@|L? u|ih @?@*)3?} |i ThLM*i4 ? ^@?||@|i @?_ t|@|t|U@*
|ih4tc 5iU|L? D _tUttit ui@|hit Lu 6i_ih@* +itihi 4L?i|@h) TL*U) |@| U@?
T*@tM*) i T*@? ?@|L? Tihtt|i?Ui ? N5 _@|@
W? 5iU|L? S i UL?t_ih @ ?4Mih Lu hi@tL?t ) TihuiU| 4@h!T t4LL|?}
@?_ ThUi t|@M*|) 4}| ?L| Mi LT|4@* | ? _L?} tL i @h}i |@| LT|4@*
_iT@h|hit uhL4 4@h!T UL?t|@?U) @?_ ThUi t|@M*|) @hi *!i*) |L Mi 4?Lh `i
@*tL tL E@ @? i @4T*i |@| t hi*@|i_ |L hit*|t ? k@?c k?} @?_ `L*4@?
E2fff |@| _iT@h|hit uhL4 4@h!T UL?t|@?U) 4@) i** ?L| Mi |Lti t}}it|i_
M) |i |h@_|L?@* *L}U Lu t|@M*3@|L? TL*U)
W? 5iU|L? . i UL?t_ih |i U@ti uLh ?i|h@* 4L?i|@h) TL*U)c 4@h!T UL?
t|@?U)c @?_ t|hU| ThUi t|@M*|) ? |i Thiti?Ui Lu |i4TLh@h*) h}_ ?L4?@*
@}it ? |i *@MLh 4@h!i| Ai ?L4?@* @?_ hi@* @}i @_t|t i M*) |L U*i@h
@ UL4Ti||i *@MLh 4@h!i| ? |i Mi?U4@h! 5 4L_i* `i? L?*) ?L4?@*
}LL_t ThUit @hi t|U!) |ihi t ?L |h@_iLg Mi|ii? ThUi t|@M*|) @?_ L|T|

t|@M*|) @hL?_ |t TL|i?|@* OLiihc |ihi L*_ @TTi@h |L Mi @ |h@_iLg
i? ML| ?L4?@* ThUit @?_ @}it @hi t|U!) 6Lh ?t|@?Uic ? @ M@tU +
4L_i* | U@T|@*c @ |i4TLh@h) @_ihti ThL_U||) tLU! hi^hit @ u@** ? @}
}hi}@|i _i4@?_ @?_ ? Lht Lh!i_ W? |i UL4T@h@M*i M@tU 5 4L_i* |
|i 4@h!T t|@M*3i_ @?_ |i ThUi *ii* UL?t|@?|c |i @_t|4i?|t @hi |i t@4i
W? ML| 4L_i*tc hi_Ui_ Lht @hi @UUL4T@?i_ M) @ *L hi@* @}i Wu |i ?L4?@*
@}i t t|U!) tL |@| |i hi@* @}i U@??L| u@**c |i? @ 4L?i|@h) TL*U) @4i_ @|
t|@M*3?} |i 4@h!T @?_ |i ThUi *ii* 4t| t|iih L|T| Mi*L |t TL|i?|@*
? Lh_ih |L h@ti |i 4@h}?@* T)tU@* ThL_U| Lu *@MLh tUi?|*) |L !iiT |i
4@h!T @?_ |i ThUi *ii* UL?t|@?| At |ihi L*_ tii4 |L Mi @ |h@_iLg
Mi|ii? L|T| @?_ ?@|L? ? |i u@Ui Lu @ ThL_U||) tLU! i? ML| ThUit
@?_ @}it @hi t|U!)
Aihi t @ *@h}i ML_) Lu i_i?Ui tL?} @ML| |i t@4i _i}hii Lu |i4TLh@h)
h}_|) ? ?L4?@* @}it @t ? ?L4?@* ThUit Atc i |@!i tihLt*) |i TL
|i?|@* ULt| |@| t|U!) ?L4?@* @}it 4}| Uhi@|i uLh ThUi t|@M*|) OLiihc
|ihi t @ u?_@4i?|@* @t)44i|h) Mi|ii? ThL_U| @?_ *@MLh 4@h!i|t Ai *@
MLh 4@h!i| t U@h@U|ih3i_ M) *L?}|ih4 hi*@|L?tTt ihi |ihi t LTTLh|?|)
@?_ hi@tL? uLh €h4t @?_ Lh!iht |L ?i|h@*3i |i @**LU@|i igiU|t Lu |i4TLh@h*)
t|U!) ?L4?@* @}it ? |i L|ih @?_c tTL| |h@?t@U|L?t Thi_L4?@|i ? ThL_
U| 4@h!i|t ihi |ihi t 4U *itt LTTLh|?|) uLh |i igiU|t Lu t|U!) ?L4?@*
ThUit |L Mi Th@|i*) ?i|h@*3i_ ? |t M@tt i @h}i |@| |i UL?ti^i?Uit
Lu |i4TLh@h) ?L4?@* @}i h}_|) @hi *!i*) |L Mi 4?Lhc M| |@| |i4TLh@h*)
t|U!) ?L4?@* ThL_U| ThUit U@? ?i?Ui |i @ih@}i 4@h!T |@ t}?€U@?|*)
Lih |4i Oi?Uic ?i|h@* 4L?i|@h) TL*U) E|@| 4@?|@?t 4@h!T UL?t|@?U)c
!iiTt L|T| @| |t TL|i?|@* @?_ tTTLh|t ThUi t|@M*|) tL*_ UL?|?i |L Mi
LT|4@* ? |i Thiti?Ui Lu t|U!) ?L4?@* @}it
`i UL?U*_i |i T@Tih | @ Mhiu hii Lu Lh U@ti uLh ThUi t|@M*|)

2 h?UT*it Lu T|4@* 6tU@* L*U)
+iUi?| Lh! L? LT|4@* €tU@* TL*U) @t t|_i_ |i UhU4t|@?Uit ?_ih U
| t _ith@M*i |L t4LL| |@ h@|it @UhLtt |4i @?_ t|@|it Lu |i Lh*_ h }L@*
? |t tiU|L? t |L ?_iht|@?_ |i UL?_|L?t ?_ih U TihuiU| |@ t4LL|?}
t LT|4@* *_?} L? |i ?t}|t Lu +@4ti) Eb2. @?_ wU@t @?_ 5|L!i)
EbH  Lh @?@*)tt t UL?_U|i_ ? @ }i?ih@* i^*Mh4 4@??ih @TThLTh@|i
uLh 4@UhLiUL?L4U TL*U) @?@*)tt `i Thiti?| |i ThLUi_hi uLh _i|ih4??}
e

LT|4@* |@ h@|i TL*U) |L ThL_i M@U!}hL?_ uLh Lh @?@*)tt Lu LT|4@* 4L?i|@h)
TL*U) ? 5iU|L? @?_ ? |i hit| Lu |i T@Tih
2 5|hU|hi Lu |i iUL?L4)
W? Lh_ih |L **t|h@|i |i Th?UT*it Lu LT|4@* |@ TL*U) @t t4T*) @t TLttM*ic
i @tt4i ihi |@| |i iUL?L4) @t L?*) L?i TihL_ Lu |4ic M| 4@?) t|@|it
Lu ?@|hi Erc ihi t t @ UL?|?Lt h@?_L4 @h@M*i L? |i ?| ?|ih@* Ai
ThLM@M*|) Lu @?) t|@|i Lu ?@|hi t Er
Ai ThL_U|L? t|hU|hi Lu |i iUL?L4) t ih) t4T*ie G L|T| + t ThL_Ui_
uhL4 *@MLh ?T| ? @UULh_?} |L
+Er ' @Er?Erc

E2

ihi |i ThL_U||) *ii*c @Erc _iTi?_t L? |i t|@|i Lu ?@|hi
Aihi @hi |L tit Lu L|T|G UL?t4T|L? SEr @?_ }Lih?4i?| ThU@tit
}Erc U @hi @tt4i_ |L Mi _i|ih4?i_ i L}i?Lt*) @?_ ?L| |L tMt|||i _
hiU|*) uLh Th@|i UL?t4T|L? `i @tt4i |@| ThL_U||) E@Er @?_ }Lih?
4i?| ThU@tit E}Er @hi TLttM*) UL4T*U@|i_ u?U|L?t Lu r h@|ih |@? }Lih?i_
M) T@h|U*@h _t|hM|L?t `i _L tL MiU@ti |t 4@!it | TLttM*i |L uLh4*@|i
|i }i?ih@* _iUtL? ThLM*i4t 4Lhi t4T*) @?_ |L i TLt| }i?ih@* hit*|t 4Lhi
i@t*)
Ai }Lih?4i?| t hi^hi_ |L €?@?Ui |t ThU@tit Lu L|T| | @ _t|Lh
|L?@h) @| h@|i |@ L? ?UL4i wi||?} |i |@ h@|i ? t|@|i r Mi Erc |t
hii?it ? |@| t|@|i @hi Er+Er
22 L?t|h@?|t L? €tU@* TL*U)
Ai }Lih?4i?| U@? M) @?_ ti** UL?|?}i?| U*@4t @| ThUit ^Er tL |@| |t M_
}i| _Lit ?L| @i |L Mi M@*@?Ui_ L? @ t|@|iM)t|@|i M@tt Atc |i }Lih?4i?|
6Dw wlphv/ zh frqvlghu d surgxfwlylw| vwdwh dqg d jryhuqphqw sxufkdvhv vwdwh lq zkdw iroorzv/

vr vwulfwo| vshdnlqj zh uhtxluh d wzr glphqvlrqdo vwdwh vsdfh1 Krzhyhu/ rxu h{srvlwlrq grhv qrw
pdnh xvh ri d wzr glphqvlrqdo vsdfh1 Wr plqlpl}h qrwdwlrqdo foxwwhu/ zh fduu| dorqj rqo| rqh
vwdwh lqgh{ v1
7Zh xvh d olqhdu surgxfwlrq ixqfwlrq iru wkuhh uhdvrqv= vlpsolflw| dqg frpsdudelolw| wr wkh
dvvrfldwhg sxeolf qdqfh olwhudwxuh/ hj/ Oxfdv dqg Vwrnh| +4<;6,> devhqfh ri {hg idfwruv zkrvh
lqfrphv vkrxog eh frqvfdwhg/ hj/ Fkdul/ Fkulvwldqr/ dqg Nhkrh +4<<7,> dqg dv d vwdqg0lq iru
d pruh hoderudwh surgxfwlrq ixqfwlrq dv lq Nlqj dqg Uhehor +4<<<, lq zklfk wkhuh lv yduldeoh
fdsdflw| xwlol}dwlrq1

D

t uhii |L ULLti |@ TL*U) |@| hit*|t ? M_}i| R_i€U|t ? tL4i t|@|it @?_
RthT*tit ? L|iht Ai }Lih?4i?| t @tt4i_ |L @hh@?}i |h@_it ? |i UL?
|?}i?| U*@4t 4@h!i| i @?|i tL |@| |@ hii?i ? _i€U| t|@|it t tTT*i4i?|i_
| T@)Lgt uhL4 |i UL?|?}i?| U*@4t 4@h!i| |L 4ii| |t tTi?_?} hi^hi4i?|t
? |Lti t|@|it Ai }Lih?4i?| €?@?Uit |t T*@??i_ t|@|i UL?|?}i?| _i€U|t M)
M)?} UL?|?}i?| U*@4t |@| T@) Lg ? _i€U| t|@|it | u?_t @U^hi_ M) ti**
?} UL?|?}i?| U*@4t |@| T@) Lg ? thT*t t|@|it Atc |i }Lih?4i?| M_}i|
UL?t|h@?| t h||i?
]

d Er+Er  }Ero^ErEr_r  f

E22

`i @tt4i |@| |i }Lih?4i?| 4t| €?@?Ui @? i L}i?Lt T@||ih? Lu t|@|i UL?
|?}i?| ThU@tit Ai itti?Ui Lu |i LT|4@* |@ ThLM*i4 t |tG |i }Lih?4i?|
tL*_ _iU_i L |L ti| |@ h@|it ? i@U t|@|i Lu ?@|hi ? Lh_ih |L t@|tu) |t
M_}i| UL?t|h@?| | |i *i@t| _t|Lh|L?D
2  *|ih?@|i LTi??itt @tt4T|L?t
W? Lh_ih |L i*T ?_iht|@?_ LT|4@* |@ TL*U) @?_ |L i@*@|i _iT@h|hit uhL4
TihuiU| |@ h@|i t4LL|?} ? 5iU|L? Sc i U@hh) L| |i @?@*)tt ihi uLh @ t4@**
LTi? iUL?L4) @?_ @ U*Lti_ iUL?L4)
W? |i t4@** LTi? iUL?L4) Th@|i @}i?|t @?_ |i }Lih?4i?| U@? |h@_i ?
UL4T*i|i Lh*_ €?@?U@* 4@h!i|t |L| @giU|?} |i ThUit Lu UL?|?}i?| U*@4t
W? |i U*Lti_ iUL?L4) Th@|i @}i?|t @hi t4@** @?_ UL4Ti||i tL |@| |i)
|@!i UL?|?}i?| U*@4t ThUit @t }i?c @*|L} |ih @U|L?t |h? L| |L Mi ih)
4TLh|@?| uLh L ThUit _gih @UhLtt t|@|it Ai }Lih?4i?| t @@hi Lu L
UL?|?}i?| ThUit _iTi?_ L? |t @U|L?t @?_ |Lti Lu Th@|i @}i?|t @?_ |@!it
@UUL?| Lu |t igiU| L? UL?|?}i?| U*@4t ThUit ? _i|ih4??} LT|4@* |@ TL*U)
2e OLtiL*_ @?_ €h4 _iUtL?t
Ai €ht| t|iT ? tL*?} uLh LT|4@* |@ TL*U) t |L _i|ih4?i L LtiL*_t
@?_ €h4t Mi@i }i? UL?|?}i?| U*@4t ThUit `i _tUtt |t Mi@Lh |
@? @hM|h@h) UhLttt|@|i T@||ih? Lu |@ it Er

8Lw lv xvhixo wr qrwh wkdw wkh exgjhw frqvwudlqw orrnv vxshufldoo| olnh lw krogv rqo| lq h{shfwhg

ydoxh/ exw lq rxu frpsohwh pdunhwv prgho lw dozd|v krogv h{dfwo|1

S

OLtiL*_tG Ai hiThiti?|@|i LtiL*_ uLh4*@|it UL?|?}i?| T*@?t uLh *@
MLh tTT*) @?_ UL?t4T|L?c tL @t |L 4@ 43i i TiU|i_ |*|) Lih UL?t4T|L?
@?_ Lh! igLh|
]
ESErc ?ErEr_r
E2 
W? |t T@Tih i uLUt L? |i U@ti ? U |i |*|) u?U|L? t @__|i*)
tiT@h@M*ic tL |@|
ESc ? ' ES  E?
|  ES : fc  ES fc  E? : f @?_  E? : fG |iti UL?_|L?t ?thi |@|
|i _i4@?_ uLh UL?t4T|L? @?_ |i tTT*) Lu Lh! igLh| @i |i UL?i?|L?@*
t@TitS `i @*tL @tt4i |@| |iti Thiuihi?Ui tTiU€U@|L?t 4T*) UL?t|@?|
i*@t|U|) uLh 4@h}?@* |*|)c tL |@|








 ES ' S *
 E? ' w?*# 


3



__|i*) tiT@h@M*i Thiuihi?Uit @**L t |L }*}| @ ?4Mih Lu iUL?L4U t
tit U i |?! @hi Ui?|h@* |L LT|4@* |@ TL*U) ? }i?ih@* @?_ |@ t4LL|?}
? T@h|U*@hc *i 4@?|@??} @ hi*@|i*) |h@U|@M*i 4L_i* L?t|@?| i*@t|U|)
Thiuihi?Uit @hi 4TLh|@?| uLh |i |@ t4LL|?} hit*|t Lu |t tiU|L? #iT@h
|hit @hi _tUtti_ ? 5iU|L? S Mi*L
5?Ui LtiL*_t U@? |h@_i ? 4@h!i|t uLh t|@|iUL?|?}i?| tiUh|itc |i
LtiL*_ @t @ M_}i| UL?t|h@?| Lu |i uLh4
]

dE  ErEr?Er  SEro^ErEr_r  f

E2e

| Er Mi?} |i @}i h@|i ? t|@|i t @?_ @u|ih|@ ?UL4i Mi?} d EroEr?Er
Ai LtiL*_ 4@ 43it |*|) M) i^@|?} |i 4@h}?@* |*|) Lu UL?t4T
|L? |L |i ULt| Lu UL?t4T|L? @?_ M) i^@|?} |i 4@h}?@* _t|*|) Lu Lh!
|L |t Mi?i€|
 ES ' b^Er
 E? ' bE  ErEr^Er


E2D



9Zh dovr dvvxph wkdw wkh krxvhkrog dozd|v fkrrvhv vrph frqvxpswlrq dqg vrph zrun/ zklfk

fdq eh jxdudqwhhg e| Lqdgd0w|sh frqglwlrqv1

.

W? |iti i ThittL?tc b t @ 4*|T*ih Lti *ii* t _i|ih4?i_ tL |@| |i M_
}i| UL?t|h@?| t t@|t€i_ Aiti €ht|Lh_ih UL?_|L?t _i|ih4?i |i LtiL*_<t
UL?|?}i?U) T*@?t }i? 4@h!i| ThUit 6Lh Lh UL?t|@?| i*@t|U|) Thiuihi?Uitc
|i €ht|Lh_ih UL?_|L?t |@!i L? @ ih) t4T*i uLh4c U 4T*it |@| i U@?
i@t*) tL*i uLh |i UL?t4T|L? @?_ Lh! igLh| Mi@Lh Lu |i LtiL*_t
 
o
b^Er
bE  ErEr^Er #
?Er ' d
o 
w
SEr ' d

At i @4T*i **t|h@|it @ ?4Mih Lu 4TLh|@?| TL?|t 6ht|c LtiL*_t
ULLti T*@?t U ?L*i UL?t4T|L? t4LL|?} @UhLtt t|@|it Lu ?@|hiG u
|i ThUit Lu @** t|@|it ihi i^@*c ^Er ' ^c |i? LtiL*_t ULLti TihuiU| UL?
t4T|L? t4LL|?} 5iUL?_c hi*@|i |L |i u**t4LL|?} L|UL4ic LtiL*_t
ULLti *L UL?t4T|L? ? t|@|it Lu ?@|hi |@| @hi ULt|*) E^Er } @?_ }
UL?t4T|L? ? t|@|it |@| @hi ?i Ti?ti E^Er *Lc | |i i*@t|U|) Lu |t
hitTL?ti }i? M)  Ah_c ?__@*t ULLti |L Lh! 4Lhi ? t|@|it U @i
} @u|ih|@ @}it @?_ *itt ? t|@|it | *L @u|ih|@ @}it Ai i*@t|U|) Lu
*@MLh tTT*) @UhLtt t|@|it t }i? M) # 6Lh|c |i Lih@** *ii* Lu UL?t4T|L?
@?_ Lh! igLh| t }Lih?i_ M) b @?_ t |t _i|ih4?i_ M) |i LtiL*_<t M_
}i| UL?t|h@?| ,i? |L| Lh UL?t|@?| i*@t|U|) @tt4T|L? uLh Thiuihi?Uitc
|i €ht|Lh_ih UL?_|L?t ThL_i |i M@tt uLh UhLttt|@|i UL4T@h@|i t|@|Utc @t
uL**Lt `i U@? _i|ih4?i |i igiU| Lu @?} @ t|@|i | @ t*}|*) }ih @}i
Lh ThUi M) _gihi?|@|?} |iti i ThittL?tc L*_?} € i_ b
6h4tG W? Thiti?|?} Lh 4L_i* iUL?L4it ? |t tiU|L?c i @tt4i |@|
|ihi t @ t4T*ic itti?|@**) t|@|Uc hL*i uLh €h4t `i @tt4i ThL€|4@ 43?}c
TihuiU|*) UL4Ti||i €h4tc tL |@| ? i^*Mh4 |i 4@h}?@* ThL_U| Lu *@MLh
@Er i^@*t |i hi@* @}i Er Bi? |@| |t i^@*|) L*_tc €h4t **?}*)
tTT*) @?) @4L?| Lu L|T| `i UL?t_ih 4L?LTL*t|U@**) UL4Ti||i €h4t
i? i |@*! @ML| 4L?i|@h) TL*U) Mi*L
2D +iuihi?Ui hi@* Mt?itt U)U*i tL*|L?t
h @TThL@U |L ?_iht|@?_?} LT|4@* |@ TL*U) Mi}?t M) U@h@U|ih3?} |i
Mi@Lh Lu @ hiuihi?Ui hi@* Mt?itt U)U*i 4L_i* | UL?t|@?| |@ h@|itc ic
|i u** t4LL|?} Lu |@ h@|it @UhLtt t|@|it Lu ?@|hi `i *@) L| |i €tU@*
H

@|Lh|)<t |@ ThLM*i4 @?_ _i|ih4?i |i UL?_|L?t uLh TihuiU| |@ t4LL|?}
? 5iU|L? 2S `i Mi}? ? |t tiU|L? M) _itUhM?} |i ?@|hi Lu i^*Mh4
uLh Lh t4@** LTi? iUL?L4) @?_ U*Lti_ iUL?L4) U@tit W? i@U U@tic |i *ii* Lu
|i UL?t|@?| |@ h@|i t ti| tL |@| |i }Lih?4i?| M_}i| UL?t|h@?| t t@|t€i_
}i? |i Mi@Lh Lu Th@|i @}i?|t Ai ?@|hi Lu |i + tL*|L? ? |i |L
U@tit t U@h@U|ih3i_ M) |*3?} |i €ht|Lh_ih UL?_|L?t E2D uLh UL?t4T|L?
@?_ Lh! igLh|c |L}i|ih | |i i^*Mh4 UL?_|L? Er ' @Erc @?_ |i
hi*i@?| ui@tM*|) UL?_|L? uLh |i iUL?L4)
2D Ai + tL*|L? uLh |i t4@** LTi? iUL?L4)
Ai t4@** LTi? iUL?L4) tL*|L? t itti?|@**) |i T@||ih? Lu t|@|iUL?|?}i?|
Mi@Lh Lu |i hiThiti?|@|i LtiL*_ }i? M) €ht|Lh_ih UL?_|L?t E2D @MLi
i UiT| |@| E@ i 4TLti UL?t|@?U) Lu |i |@ h@|i @UhLtt t|@|it Lu ?@|hi @?_ EM
i hi^hi |@| |i }Lih?4i?| @?_ LtiL*_ M_}i| UL?t|h@?|t @hi t@|t€i_
W? igiU|c |t _i|ih4?it |i T@h@4i|iht b @?_ ? |i @MLi i^@|L?t 6Lh
|i ThTLti Lu U@h@U|ih3?} |i Mi@Lh Lu |i t4@** LTi? iUL?L4) + 4L_i*
? hitTL?ti |L tLU!t i U@? L*_ b @?_ € i_c t| @t i ThiLt*) __ uLh
|i LtiL*_ Ai hi@tL? t |@| ML| |i LtiL*_t @?_ |i }Lih?4i?| @hi
@tt4i_ |L Mi @M*i |L |h@_i @| i L}i?Lt ThUit ? UL4T*i|i UL?|?}i?| U*@4t L?
?|ih?@|L?@* 4@h!i|t h 4L_i* Thit4it |@| LtiL*_t @?_ |i }Lih?4i?|
|@!i @_@?|@}i Lu tU LTTLh|?|it |L ?thi u**) @}@?t| @?) i@*| igiU|t Lu
tLU!t L|i |t L*_ L?*) *i@_ |L TihuiU|*) t4LL| UL?t4T|L? u UL?|?}i?|
ThUit ihi _i?|U@* @UhLtt t|@|it Lu ?@|hi
Ai !i) U@h@U|iht|Ut Lu |i t4@** LTi? hiuihi?Ui + iUL?L4) @hi |iti
6ht|c @ } ThL_U||) tLU! i ih|t @ tMt|||L? igiU| L? LtiL*_tc ?_U
?} |i4 |L Lh! @h_ih |T| ?Uhi@tit @t @ _hiU| hit*| Lu |i ThL_U||)
tLU! @?_ _i |L |i ?_Ui_ hti ? Lh! igLh| Ai t ?L i@*| igiU| |@|
4}| @i i ih|i_ @ ?i}@|i igiU| L? *@MLh tTT*) Aihi t ?L UL?Uhhi?| hti
? UL?t4T|L?G t?Ui i@*| @t Mii? u**) ?t*@|i_ @}@?t| |t tLU! 5iU
L?_c |ihi t ?L igiU| L? UL?t4T|L? Lh Lh! igLh| _i |L @ hti ? }Lih?4i?|
ThU@titG LtiL*_t @?_ |i }Lih?4i?| @i ThiLt*) ThU@ti_ ?th@?Ui
@}@?t| |t ii?|c tL | @t ?L UL?ti^i?Uit uLh i^*Mh4 ^@?||it AL hi|ih
@|ic |iti ThLTih|it t|i4 uhL4 |i u@U| |@| UL4T*i|i UL?|?}i?| U*@4t 4@h!i|t
i*4?@|i |i i@*| igiU|t Lu tLU!t uLh @ t4@** LTi? iUL?L4)c @t t|hitti_ ?
|i *|ih@|hi L? LTi? iUL?L4) 4@UhLiUL?L4Utc i}c 5|LU!4@? @?_ Oih?@?_i3
b

EbHH @?_ @ |ih EbbD
? |i L|ih @?_c tu|t ? |i 4i@? Lu |i _t|hM|L? Lu @hLt _t|h
M@?Uit tU @t }Lih?4i?| ThU@tit Lh ThL_U||) tLU!t ** @i i@*|
igiU|t i@? tu|t ** Mi hiiU|i_ ? |i *ii*t Lu b @?_ |@| @hi ?iUitt@h)
|L t@|tu) LtiL*_ @?_ }Lih?4i?| M_}i| UL?t|h@?|t 6Lh ?t|@?Uic |i UL?
t|@?| |@ h@|i ** Mi _i|ih4?i_ @t hi^hi_ |L 4ii| |i }Lih?4i?|<t hii?i
hi^hi4i?|t
]

}Er^ErEr_r

? ?Uhi@ti ? |i }Lih?4i?|<t hii?i hi^hi4i?| ** i ih| @ ?i}@|i i@*|
igiU|c ?_U?} @ _iU*?i ? UL?t4T|L? @?_ @ hti ? Lh! igLh| U ** Mi
hiiU|i_ ? @? ?Uhi@ti ? b +iU@**c Liihc |@| tU i@*| igiU|t @hi ?L|
hi*i@?| uLh L |i t4@** LTi? iUL?L4) hitTL?_t |L tLU!t
2D2 Ai + tL*|L? uLh |i U*Lti_ iUL?L4)
 U*Lti_ iUL?L4)<t hitLhUi UL?t|h@?| 4t| L*_ L? @ t|@|iM)t|@|i M@tt tL |@|
SEr n }Er ' +Er

E2S

W? UL?|h@t| |L |i U@ti Lu |i t4@** LTi? iUL?L4)c ?L ?i| |h@_i t TLttM*i Mi|ii?
t|@|it @*|L} |ihi 4@) Mi i U@?}it Mi|ii? LtiL*_t @?_ |i }Lih?4i?|
W? UL4Ti||i i^*Mh4 |i 4@h!i|t uLh }LL_tc *@MLh @?_ UL?|?}i?| U*@4t
4t| U*i@h AiU?U@**)c @ UL4Ti||i i^*Mh4 t _itUhMi_ M) u?U|L?t U
tTiUu) L UL?t4T|L? SErc Lh! igLh| ?Er @?_ ThUit ^Er _iTi?_ L? |i
t|@|i Lu ?@|hi ,i? ? hi*@|i*) t4T*i i?hL?4i?|t tU @t |t L?ic | U@?
Mi _U*| |L _i|ih4?i @?@*)|U@**) L ^@?||it @?_ ThUit hitTL?_ |L tLU!t
? i^*Mh4 W| t ?L| TLttM*i |L tL*i i T*U|*) uLh |iti hitTL?tit t?}
UL?t|@?| i*@t|U|) Thiuihi?Uit
?i !i) _gihi?Ui Mi|ii? |i Mi@Lh Lu |i U*Lti_ iUL?L4) @?_ |i t4@**
LTi? iUL?L4) 4L_i* t |@| ?Uhi@tit ? }Lih?4i?| ThU@tit ?L |)TU@**)
*Lih UL?t4T|L? @?_ h@ti L|T|c ihi@t |iti @_ ?L igiU| ? |i t4@**
LTi? iUL?L4) 4L_i* ihi i@*| igiU|t Lu tLU!t ihi ?i|h@*3i_ M) @UUitt
|L ?|ih?@|L?@* €?@?U@* 4@h!i|t @| }i? ThUit. ?L|ih ?L|@M*i _gihi?Ui t
:Lw lv vwudljkwiruzdug wr orj0olqhdul}h wkh exgjhw frqvwudlqw dqg uvw0rughu frqglwlrqv wr
ghwhuplqh krz wkh forvhg hfrqrp| uhvsrqgv wr vkrfnv lq d irup ri furvv0vwdwh frpsdudwlyh

f

|@| @? ?Uhi@ti ? ThL_U||) ?L @t @? @4M}Lt igiU| L? Lh! igLh| E?
UL?|h@t| |L |i Thi*) TLt|i igiU|i }*}|i_ @MLi @?_ @? ?@4M}Lt*)
TLt|i igiU| L? UL?t4T|L? E? UL?|h@t| |L |i 3ihL igiU| @MLi
Ai @) |L ?_iht|@?_ |iti _gihi?Uit t |L }?Lhi |i UL?|?}i?| U*@4t
4@h!i|tc t?Ui |ihi U@? Mi ?L i TLt| |h@_i ? }LL_t @UhLtt t|@|it Lu ?@|hic
@?_ UL?Ui?|h@|i L? |i hit*|t U @hti u |iti 4@h!i|t @hi @Mti?| 6hL4
|t TihtTiU|ic |i !i) TL?| t |@| @? ?Uhi@ti ? }Lih?4i?| ThU@tit @t
@ ?i}@|i i@*| igiU| |hL} |i hitLhUi UL?t|h@?| ESEr n }Er ' @Er?Er
@?_ @? ?Uhi@ti ? ThL_U||) @t @ TLt|i i@*| igiU| `| UL?t4T|L?
TLt|i*) hi*@|i_ |L i@*| @?_ Lh! igLh| ?i}@|i*) hi*@|i_ |L i@*|c |i
ThiUi_?} hitTL?tit uL**L _hiU|*) W? T@h|U*@hc |i hitTL?ti Lu Lh! igLh| |L
ThL_U||) t ?L @4M}Lt MiU@ti Lu UL?|ih@U|?} i@*| @?_ tMt|||L?
igiU|tH
2S T|4@* €tU@* TL*U)
AL ti| |@ h@|it LT|4@**) |i €tU@* @|Lh|) 4@ 43it i TiU|i_ |*|) Lu |i
hiThiti?|@|i LtiL*_ tMiU| |L |L UL?t|h@?|tG |i }Lih?4i?| M_}i| UL?
t|h@?| E22 @?_ |i UL4Ti||i i^*Mh4 |@| ** Thi@* }i? |i u?U|L?
Er |@| _itUhMit |t |@ h@|i ti||?}t L?UiT|@**)c |t t @ ih) t|h@}|uLh
@h_ |@t! | Th@U|U@**)c |i _U*|) t |@| |i Mi@Lh Lu |i UL4Ti||i
iUL?L4) U@??L| Mi _itUhMi_ ?|* |@ TL*U) t tTiU€i_
wU@t @?_ 5|L!i) EbH  t}}it|i_ @? @TThL@U |L _i@* | |i ThLM*i4c
M*_?} L? |i Lh! Lu +@4ti) Eb2. Ai) tLi_ |@| | t TLttM*i |L
hiuLh4*@|i |i €tU@* @|Lh|)<t LT|43@|L? ThLM*i4c i*4?@|?} |i |@ h@|i
@t @ ULUi @h@M*i `i @TT*) |i *L}U Lu |ih @TThL@U ? |i t4@** LTi?
iUL?L4) @?_ |i U*Lti_ iUL?L4)c ? |h?
Ai wU@t @?_ 5|L!i) @TThL@U t}}it|t |i uL**L?} ThL}h@44?} ThLM*i4
vwdwlfv= wkhvh duh forvho| uhodwhg wr wkh uhvxowv ri dssur{lpdwho| orj0olqhdu prghov lq wkh UEF
olwhudwxuh1
;Dq dowhuqdwlyh zd| wr lqwhusuhw wkh glhuhqfhv ehwzhhq wkh vpdoo rshq hfrqrp| dqg wkh
forvhg hfrqrp| lqyroyhv frqvlghulqj wkh hhfw ri hqgrjhqrxv vwdwh sulfhv rq frqwlqjhqw ghpdqgv1
Iurp wklv shuvshfwlyh/ iru h{dpsoh/ d vwdwh zlwk kljk surgxfwlylw| frxog kdyh qr hhfw rq zrun
hruw li lw dovr jhqhudwhg d frxqwhuydlolqj ghfolqh lq wkh vwdwh sulfh/ vr wkdw wkh surgxfw d+v,t+v,
lq +518, zlwk z+v, @ d+v, zdv xqfkdqjhg uhodwlyh wr vrph ehqfkpdun ohyho1



uLh |i €tU@* @|Lh|)G
4@

SErc?Er

]

ESErc ?ErEr_r

tMiU| |L E |i hi^hi4i?|t Lu Th@|i tiU|Lh LT|43@|L?c ?@4i*) |i €ht|
Lh_ih UL?_|L?t E2Dc Er ' @Er uhL4 €h4 ThL€| 4@ 43@|L?c @?_ |i Lti
L*_ M_}i| UL?t|h@?| E2e( E |i }Lih?4i?| M_}i| UL?t|h@?| E22( @?_ E
@ ui@tM*|) UL?t|h@?| U _iTi?_t L? i|ih |i iUL?L4) t LTi? Lh U*Lti_
6Lh |i t4@** LTi? iUL?L4)c |i UL?t|h@?| t |@| |ihi t ui@tM*|) Lu |h@_i
| |i hit| Lu |i Lh*_c
]

dSEr n }Ero^ErEr_r 

]

@Er?Er^ErEr_r

E2.

L|i |@| |t t ?L| @? @__|L?@* hit|hU|L?c t?Ui | t 4T*i_ M) |i }Lih?4i?|
@?_ |i LtiL*_ M_}i| UL?t|h@?|tb `i Lh! | |i ui@tM*|) Lu |h@_i
UL?t|h@?| @?_ |i }Lih?4i?| M_}i| UL?t|h@?|c @?_ *i@i |i LtiL*_ M_}i|
UL?t|h@?| ? |i M@U!}hL?_
6Lh |i U*Lti_ iUL?L4) |i hitLhUi UL?t|h@?| t
SEr n }Er  @Er?Erc

E2H

U 4t| L*_ L? @ t|@|iM)t|@|i M@ttf t i @i t| tii?c |t UL?_|L?
hi^hit |@| t|@|i ThUit ^Er @hi i?_L}i?Lt*) _i|ih4?i_ Ai iUL?L4)_i
hitLhUi UL?t|h@?| @?_ |i }Lih?4i?| M_}i| UL?t|h@?| 4T*) |i LtiL*_
M_}i| UL?t|h@?| Atc i U@? @}@? Lh! | |i ui@tM*|) UL?_|L? Ehi
tLhUi UL?t|h@?| @?_ |i }Lih?4i?| M_}i| UL?t|h@?|
2S 6h@4?} |i |@ TL*U) ThLM*i4 uLh @ t4@** LTi? iUL?L4)
5?Ui UL?|?}i?| U*@4t ThUit @hi i L}i?Lt uLh |i t4@** LTi? iUL?L4)c | t
LT|4@* uLh |i €tU@* @|Lh|) |L 4Li UL?t4T|L? @UhLtt t|@|it Lu ?@|hi ? hi
tTL?ti |L ThUit @UULh_?} |L |i LtiL*_<t €ht| Lh_ih UL?_|L? uLh UL?t4T|L?
<Wklv frqvwudlqw uhhfwv wkh idfw wkdw uhvlghqwv ri d vpdoo rshq hfrqrp| fdq wudgh frqwlqjhqw

fodlpv dw jlyhq sulfhv zlwk wkh uhvw ri wkh zruog wr ghfrxsoh vwdwh frqwlqjhqw surgxfwlrq dqg
frqvxpswlrq1
43Wkhuh fdq eh qr wudgh lq frqwlqjhqw fodlpv iru wkh forvhg hfrqrp|/ vlqfh rxwsxw fdqqrw
eh vkliwhg ehwzhhq vwdwhv1 Vwdwh frqwlqjhqw sulfhv dgmxvw vr wkdw qr wudgh lv wkh htxloleulxp
rxwfrph1

2

? E2D Ai €tU@* @|Lh|) 4t| ULLti L |L 4@!i Lh! igLh| @h) @UhLtt
t|@|it Lu ?@|hi @ 4@?T*@|L? Lu |i t|@|i UL?|?}i?| T@||ih? Lu |@ @|L? W?
Lh_ih |L Thiti?| uLh4@**) |i LT|4@* |@ ThLM*i4 @?_ |t tL*|L?c i uL**L w
U@t @?_ 5|L!i)<t EbH  t|h@|i}) @?_ i*4?@|i |i |@ h@|i uhL4 |i }Lih?4i?|
M_}i| UL?t|h@?| E22 t?} |i €ht| Lh_ih UL?_|L? uLh |i LtiL*_<t ULUi
Lu Lh! igLh| uhL4 E2Dc @?_ i ti |i UL?_|L? uLh €h4 ThL€| 4@ 43@|L?
|L hiT*@Ui Er | @Er Ai |h@?tuLh4i_ }Lih?4i?| M_}i| UL?t|h@?| t
f'

]

EE@Er?Er  }Erb^Er  ?Er E?ErEr_rc


E2b

ihi  E?Er ' w?*# uLh Lh UL?t|@?| i*@t|U|) tTiU€U@|L? Lu Thiuihi?Uit
5?Ui LtiL*_ ULUit Lu UL?t4T|L? @?_ Lh! _L ?L| _iTi?_ L? |i @MtL*|i
tU@*i Lu t|@|i ThUitc i 4@) @*tL ?Lh4@*3i b '  ? |t i ThittL? @?_ i*4?@|i
| uhL4 |i _iUtL? ThLM*i4
Ai t4@** LTi? iUL?L4)<t LT|4@* |@ ThLM*i4 U@? Mi h||i? @t |i uL**L?}
w@}h@?}@?G


u '

]

]

ESErc ?ErEr_r n \i E@Er?Er  dSEr n }Ero^ErEr_rj
]

nKi EE@Er?Er  }Er^Er  ?Er E?ErEr_rjc


ihi |i €tU@* @|Lh|) 4@ 43it |i i TiU|i_ |*|) Lu |i hiThiti?|@|i
LtiL*_ tMiU| |L @ ui@tM*|) Lu |h@_i UL?t|h@?| @?_ |i |h@?tuLh4i_ }Lih?
4i?| M_}i| UL?t|h@?| U i4ML_it |i €ht| Lh_ih UL?_|L?t uLh Lh! @?_
€h4 ThL€| 4@ 43@|L? Ai 4*|T*iht L? |i |L UL?t|h@?|t @hi \ @?_ Kc
hitTiU|i*) Ai €tU@* @|Lh|) €?_t |i LT|4@* t|@|i UL?|?}i?| |@ TL*U) M)
€ht| LT|43?} |i w@}h@?}@? Lih |i ULUit Lu SEr @?_ ?Erc@?_ |i? tMt|
||?} |i LT|4@* t|@|i UL?|?}i?| UL?t4T|L? @?_ Lh! igLh| @**LU@|L?t ?|L
|i €ht| Lh_ih UL?_|L?t E2D | Er hiT*@Ui_ M) @Er
Ai €ht| Lh_ih UL?_|L?t uLh |i t|@|i UL?|?}i?| ULUit Lu UL?t4T|L? ?
|i €tU@* @|Lh|)<t LT|43@|L? ThLM*i4 @hi
 ESEr ' \^Erc


E2f

44Zh gr qrw lpsrvh f+v, . j+v, @ d+v,q+v, vlqfh krxvhkrogv dqg wkh jryhuqphqw fdq ghfrx0

soh sxufkdvhv iurp grphvwlf surgxfwlrq e| wudglqj frqwlqjhqw fodlpv dw sulfhv jlyhq lq zruog
qdqfldo pdunhwv1



ihi  ESEr ' SEr * uLh Lh UL?t|@?| i*@t|U|) tTiU€U@|L? Lu Thiuihi?Uit
Ai t4*@h|) Lu |i €tU@* @|Lh|)<t €ht| Lh_ih UL?_|L?t @?_ |i LtiL*_<t
uhL4 E2D hiiU|t |i u@U| |@| |i €tU@* @|Lh|) ULLtit LT|4@* UL?t4T|L?
@UhLtt t|@|it Lu ?@|hi ? hitTL?ti |L |i ?Ui?|it ? |i Lh*_ €?@?U@* 4@h!i|
Ai €tU@* @|Lh|)<t t|@|i UL?|?}i?| €ht| Lh_ih UL?_|L? uLh Lh! igLh|
UL?|@?t |hii |ih4t


3

 E?Er ' E\ n K@Er^Er  Ki E?Er n ?Er E?Erjc






E2

ihi  E?Er ' w?Er*#  Ai €ht| |ih4 t |i 4@h}?@* _t|*|) Lu Lh! Ai
tiUL?_ |ih4 t |i UL?|hM|L? Lu @? @__|L?@* ?| Lu Lh! ? t|@|i r |L |i
ui@tM*|) Lu |h@_i UL?t|h@?| Ai |h_ |ih4 t |i igiU| Lu Lh! igLh| ?Er L?
|i |h@?tuLh4i_ }Lih?4i?| M_}i| UL?t|h@?| Ai €tU@* @|Lh|)<t Mi@Lh
| hitTiU| |L Lh! igLh| t ih) _gihi?| |@? | t uLh UL?t4T|L?G |i |@
@|Lh|) hiUL}?3it |@| | U@? @giU| |i i |i?| Lu |t hii?i M) |t Lh! igLh|
ULUitc ic M) |i |@ h@|i TL*U) |@| | ULLtit


2S2 Vihu)?} |@| @ UL?t|@?| |@ h@|i t LT|4@*
Ai €tU@* @|Lh|) 4t| 4T*i4i?| |i LT|4@* T*@? SErc ?Er ?_hiU|*) M)
ti*iU|?} t|@|i UL?|?}i?| ?UL4i |@ h@|it |L ?_Ui LtiL*_t |L ULLti |i
LT|4@* t|@|i UL?|?}i?| @**LU@|L?t uLh UL?t4T|L? @?_ Lh! W? UL4Ti||i
i^*Mh4c |i €tU@* @|Lh|) U@? i?}?iih tMt|||L? Lu Lh! igLh| @UhLtt
t|@|it Lu ?@|hi M) 4@!?} |i |@ h@|i _iTi?_ L? |i t|@|i Wu |i €tU@* @|Lh|)
_Lit ?L| t Lh! igLh| |L _iT@h| uhL4 |i *ii*t |@| L*_ Thi@* | @
UL?t|@?| |@ h@|ic |i? | U@? i*iU| |L !iiT |i |@ h@|i UL?t|@?| UULh_?}*)c i
UiU! i|ih |i €tU@* @|Lh|) ULLtit |i t@4i ^@?||it SErc ?Er @t **
@hti | UL?t|@?| |@ it
6Lh |t t4@** LTi? iUL?L4)c UL?t|@?| i*@t|U|) Thiuihi?Uit uLh Lh! @hi tu
€Ui?| |L _i*ih TihuiU| |@ h@|i t4LL|?} `i _L ?L| ?ii_ UL?t|@?| i*@t|U|)
Thiuihi?Uit uLh UL?t4T|L? *tLc | UL?t|@?| i*@t|U|) Thiuihi?Uit uLh Lh!c
TihuiU| |@ t4LL|?} t LT|4@* ? |i Thiti?Ui Lu ML| ThL_U||) tLU!t @Er
@?_ @}}hi}@|i _i4@?_ tLU!t }Er
Aihi @hi |L UL4T*i4i?|@h) @)t Lu ?_iht|@?_?} |i h@|L?@*i uLh UL?t|@?|
|@ h@|it ? |t ti|T 6ht|c |ihi t |i TihtTiU|i Lu |i TM*U €?@?Ui
*|ih@|hi M*U €?@?Ui |iLh) hiUL44i?_t |@| |@ h@|it tL*_ Mi ULti? |L

e

4?43i |i _t|Lh|L? Ei Uitt Mh_i? |*|) ULt| Lu h@t?} @ }i? hii?i2
+L}*) tTi@!?}c |i _i@ t |L |@ 4Lhi i@*) }LL_t Lti tTT*) t 4Lhi
?i*@t|Uc t?Ui @ }i? @4L?| Lu hii?i U@? Mi h@ti_ | *itt _t|Lh|L? |@|
@) W? Lh UL?|i |c |i?c i |?! Lu Lh! igLh| tTT*i_ ? _gihi?| t|@|it Lu
?@|hi @t _gihi?| R}LL_t Ai i*@t|U|) Lu tTT*) Lu Lh! t _i?|U@* @UhLtt
t|@|it u |ihi @hi UL?t|@?| i*@t|U|) Thiuihi?Uitc @t i @tt4i ihi Oi?Uic | t
LT|4@* |L ti| @ |@ h@|i |@| t UL?t|@?| @UhLtt t|@|it Lu ?@|hi
5iUL?_c uLh |i @TT*U@|L? |L 4L?i|@h) TL*U) |@| uL**Ltc | t 4TLh|@?| |L
?_iht|@?_ |@| t|@|i UL?|?}i?| Lh! @?_ UL?t4T|L? }i?ih@|i_ M) |i €tU@*
@|Lh|)<t LT|4@* ULUi Lu |@ TL*U) @hi _i?|U@* |L |i L|UL4it ? |i UL?
t|@?| |@ h@|ic t4@** LTi? hiuihi?Ui + iUL?L4) |@| i _tUtti_ ? 5iU|L?
2D `i U@? tii |@| |t t |i U@ti @t uL**Lt 6ht|c | Lh UL?t|@?| i*@t|U
|) Thiuihi?Ui tTiU€U@|L? |i €ht| Lh_ih UL?_|L? uLh Lh! E2 uhL4 |i €tU@*
@|Lh|)<t LT|4@* |@ ThLM*i4 4@) Mi hih||i? @t
w?Er*# ' V?J d@Er^Ero
| V?J ' E\nK*dn EKE n #*#o At 4T*it |@| |i €tU@* @|Lh|)<t €ht|
Lh_ih UL?_|L? uLh Lh! E2 *LL!t t| *!i |i LtiL*_<t €ht| Lh_ih UL?_|L?
uLh Lh! E2D u i ti| |i UL4M?@|L? Lu 4*|T*iht tL |@| V?J ' E  b
5iUL?_c |i €ht| Lh_ih UL?_|L? uLh UL?t4T|L? ? |i €tU@* @|Lh|)<t LT|4@*
|@ ThLM*i4 hiti4M*it |@| ? |i UL?t|@?| |@ h@|i + hiuihi?Ui U@ti Ah_c
i !?L |@| |i UL?t|@?| |@ + hiuihi?Ui iUL?L4) t@|t€it @** |i M_}i|
UL?t|h@?|t Oi?Uic i !?L |@| EUL?t|@?| 4*|T*iht U@? Mi ULti? tL |@|
|i LtiL*_<t ULUi Lu UL?t4T|L? ? |i hiuihi?Ui + iUL?L4) 4@|Uit |i
€tU@* @|Lh|)<t UL?t4T|L? ULUit
2S  A@ TL*U) ? |i U*Lti_ iUL?L4)
W? UL?|h@t| |L |i t4@** LTi? iUL?L4)c |i €tU@* @|Lh|) U@? 4@?T*@|i UL?
|?}i?| U*@4t ThUit ^Er @UhLtt t|@|it Lu ?@|hi @UULh_?} |L |i LtiL*_<t
€ht| Lh_ih UL?_|L? E2D M) |t ULUi Lu t|@|i UL?|?}i?| UL?t4T|L? SEr t
t|hitti_ M) wU@t @?_ 5|L!i) EbH c |t 4@!it TLttM*i @ *Lih @ih@}i |@ h@|i
L? *@MLh ?UL4ic *Lih |@ _t|Lh|L?tc @?_ }ih i TiU|i_ |*|) uLh LtiL*_t
45Vhh/ iru lqvwdqfh/ Dwnlqvrq dqg Vwljolw} +4<;3,/ Ohfwxuh 45/ ss1 6990<61
46Zh duh dvvxplqj/ khuh dqg ehorz/ wkdw wkhuh lv d vlqjoh vroxwlrq zlwk d frqvwdqw wd{ udwh ru
frqvwdqw pdunxs1 Wklv vkrxog eh wkh fdvh zlwk wkh suhihuhqfhv wkdw zh xvh1

D

6Lh ?t|@?Uic L|ih |?}t |i t@4ic |i €tU@* @|Lh|) L*_ @?| UL?|?}i?|
U*@4t ThUit ^Er |L Mi *L i? }Lih?4i?| tTi?_?} }Er t } Ai?c }
tTi?_?} UL*_ Mi T@h|*) €?@?Ui_ M) U*@4t T@)?} Lg ? } t|@|it ThU@ti_
| u?_t LM|@?i_ uhL4 ti**?} U*@4t L? *LtTi?_?} t|@|it w!itic |i
€tU@* @|Lh|) L*_ *!i } t|@|i ThUit i? ThL_U||) @Er t }c tL |
UL*_ ti** Lg i Uitt hii?i @| @ } ThUi uLh U*@4t L? L|T| ? t|@|it i? |
?ii_i_ hii?i OLiihc |i €tU@* @|Lh|) 4t| 4@?T*@|i t|@|i UL?|?}i?|
ThUit ?_hiU|*) |L} |i ?UL4i |@ h@|i  } ?UL4i |@ h@|i h@tit UL?
|?}i?| U*@4t ThUit ? @ }i? t|@|i M) ?_U?} *Lih L|T| @?_ UL?t4T|L?
Oi?Uic |i i |i?| |L U |i €tU@* @|Lh|) ** @?| |L 4@?T*@|i |@ h@|it
@UhLtt t|@|it |L |t i?_ ** _iTi?_ L? |i ?@|hi Lu Thiuihi?Uit @?_ |iU?L*L})
6Lh4@**)c |i LT|4@* |@ ThLM*i4 ?L*it |i 4@ 43@|L? Lu i TiU|i_ |*
|) tMiU| |L @ }Lih?4i?| M_}i| UL?t|h@?| @?_ @ hitLhUi UL?t|h@?| `i
ti |i |h@?tuLh4i_ }Lih?4i?| M_}i| UL?t|h@?| E2b @t MiuLhi i UiT| |@| i
tMt|||i uLh t|@|i UL?|?}i?| ThUit t?} |i LtiL*_ €ht| Lh_ih UL?_|L? uLh
UL?t4T|L? ^Er '  ESEr*b 6Lh |i U*Lti_ iUL?L4)c |i hitLhUi UL?t|h@?|
SEr n }Er ' @Er?Er 4t| L*_ L? @ t|@|iM)t|@|i M@tt ||@U?} @ 4*|T*ih
\Er |L |i hitLhUi UL?t|h@?| ? i@U t|@|i r @?_ @ 4*|T*ih K |L |i }Lih?
4i?| M_}i| UL?t|h@?|c i €?_ |@| |i €ht|Lh_ih UL?_|L? uLh LT|4@* Lh!
igLh| t ih) t4*@h |L |@| @MLic


 E?Er ' \Er@Er  Ki E?Er n ?Er E?Erj






E22

i UiT| |@| |i hi@h_t |L Lh! igLh| ? t|@|i r 4t| ?L Mi i@*@|i_ @| \Er
h@|ih |@? b^Er t MiuLhic i @tt4i  E?Er ' w?Er*#  Ai €ht|Lh_ih
UL?_|L? uLh UL?t4T|L? t


 ESEr ' \Er  Ki ESEr n SEr ESErj






E2 

U |@!it @ T@h@**i* uLh4 |L |i Lh! igLh| UL?_|L? ? t|@|i rG |i 4@h}?@*
|*|) Lu UL?t4T|L? 4t| Mi i^@|i_ |L |i t@_L ThUi L? |i hitLhUi UL?
t|h@?| \Erc T*t @? @__|L?@* |ih4 U |@!it ?|L @UUL?| |i ?i?Ui Lu
UL?t4T|L? L? t|@|i UL?|?}i?| ThUit ^Er `i @tt4i  ESEr ' SEr * c
U u@U*|@|it |i 4@?T*@|L? Lu |t €ht| Lh_ih UL?_|L? Mi*L


3

2Se Vihu)?} |@| @ UL?t|@?| |@ h@|i t LT|4@*
t MiuLhic |i €tU@* @|Lh|) 4t| 4T*i4i?| |i LT|4@* T*@? ?_hiU|*) M)
ULLt?} t|@|i UL?|?}i?| ?UL4i |@ h@|it |L ?_Ui LtiL*_t |L ULLti LT|
S

4@* t|@|i UL?|?}i?| @**LU@|L?t uLh UL?t4T|L? @?_ Lh! `i €?_ |@| t|@|i
UL?|?}i?| |@ TL*U) M) tMt|||?} |i tL*|L?t uLh LT|4@* Lh! @?_ UL?t4T
|L? uhL4 E22 @?_ E2  ?|L |i LtiL*_<t €ht| Lh_ih UL?_|L?t uLh Lh!
@?_ UL?t4T|L? E2D Ai? i tL*i |i LtiL*_ UL?_|L?t t4*|@?iLt*)
uLh ^Er @?_ Er Ai ML||L4 *?i t |tG | UL?t|@?| i*@t|U|) Thiuihi?Uit
Lih Lh! @?_ UL?t4T|L?c LT|4@* |@ TL*U) Er _iTi?_t L? |i UL?t|@?|
4*|T*ih K L? |i }Lih?4i?| M_}i| UL?t|h@?|c M| ?L| L? t|@|i_iTi?_i?|
@h@M*it T|4@* |@ h@|it _L ?L| hitTL?_ |L t|@|i UL?|?}i?| ThL_U||) Lh
}Lih?4i?| tTi?_?} Ai |@ h@|i t € i_ i @?|i tL |@| | h@tit t| i?L}
hii?i |L €?@?Ui |i }Lih?4i?|<t ?ii_t
Aihi @hi |hii 4TLh|@?| TL?|t |L ?L|i @ML| |i UL?t|@?| |@ h@|i LT|44
6ht|c @*|L} |i €tU@* @|Lh|) @t |i TLih |L ti |@ TL*U) |L 4@?T*@|i
t|@|i UL?|?}i?| U*@4t ThUit ? |i U*Lti_ iUL?L4)c | t ?L| LT|4@* |L _L tL
Ai hit*| t hi4?tUi?| Lu |i Mi@Lh Lu @ 4L?LTL*t| | UL?t|@?| i*@t|U|)
_i4@?_G |i ThL€|4@ 43?} 4@h!T t ?@h@?| |L _i4@?_ @?_ ThL_U|
|) tLU!tc ii? |L} |i 4L?LTL*t| @t |i ThU?} TLih |L 4@?T*@|i t
4@h!T ? hitTL?ti |L tU tLU!t
5iUL?_c |i hi^hi4i?| |@| UL?t4T|L? Thiuihi?Uit @t i** @t Thiuihi?Uit
Lih Lh! Mi UL?t|@?| i*@t|U tii4t |L UL?|h@_U| |i TM*U €?@?Ui ?||L? }i?
uLh |i t4@** LTi? iUL?L4) Ai _gihi?Ui t |@| |i t4@** LTi? iUL?L4) t @
T@h|@* i^*Mh4 ? |i ti?ti |@| i L}i?Lt UL?|?}i?| U*@4t ThUit _i|ih4?i
|i 4@h}?@* |*|) Lu UL?t4T|L? Ai TM*U €?@?Ui ?||L? Lh!t i** ?
T@h|@* i^*Mh4 W? |i U*Lti_ iUL?L4)c i|ih Lh ?L| | t iUi?| uLh
|i €tU@* @|Lh|) |L 4@?T*@|i |@ h@|itQ|L Tt UL?|?}i?| U*@4t ThUit
_L? ? t|@|it ihi |i }Lih?4i?| M_}i| t ? _i€U| @?_ h@ti tU ThUit
? t|@|it ihi |i }Lih?4i?| M_}i| @t @ thT*tQ_iTi?_t L? |?}t L|ih
|@? |i i*@t|U|) Lu Lh! igLh| 6Lh i @4T*ic |i €tU@* @|Lh|) h@tit @
UL?|?}i?| U*@4t ThUi ? @ }i? t|@|i M) T*@???} |L h@ti |i ?UL4i |@ h@|i
? |@| t|@|i  }ih |@ h@|i ?_Uit @ U| ? Lh!c L|T|c UL?t4T|L?c @?_
|ihiM) @ }ih UL?|?}i?| U*@4t ThUi Ai U@? M) U |i €tU@* @|Lh|)
4}| i T*L| |t *iih@}i Lih U*@4t ThUit 4@!it U*i@h |@| ML| |i i*@t|U|it
Lu Lh! @?_ UL?t4T|L? 4@||ih Ai hit*| LM|@?i_ @MLi t@)t |@| i?
ML| i*@t|U|it @hi UL?t|@?|c |i 4@h}?@* Mi?i€| Lu 4@?T*@|?} |@ h@|it |L
hi_Ui hii?i t i @U|*) Lgti| M) |i 4@h}?@* _t|Lh|L? ULt| Lu 4L?} @@)
uhL4 UL?t|@?| |@ h@|it
 |h_ @) |L tii |i LT|4@*|) Lu UL?t|@?| |@ h@|it t |L LMtihi |@| |i
.

€ht| Lh_ih UL?_|L?t uLh LT|4@* |@ TL*U) ?_Ui |i t@4i Mi@Lh @t ? |i
U*Lti_c UL?t|@?| ?UL4i |@ h@|i hiuihi?Ui + iUL?L4) ? 5iU|L? 2D W? L|ih
Lh_tc |i hitTL?ti Lu UL?t4T|L? @?_ Lh! |L ThL_U||) @?_ }Lih?4i?|
ThU@ti tLU!t ? |i UL?t|@?| |@ hiuihi?Ui + 4L_i* t |i L?i |@| 4?43it
|i _i@_ i}| ULt| Lu h@t?} hii?i | _t|Lh|L?@h) ?UL4i |@ it `i U@?
tii |t @t uL**Lt `Lh!?} | Lh Thiuihi?Ui tTiU€U@|L?c i U@? hih|i
E2  @t
SEr * ' VS \Erc
3

ihi VS ' d n KE  E*o   W? |t U*Lti_ iUL?L4) ti||?}c LT|4@* @**L
U@|L?t _iTi?_ L? |i t|@|i UL?|?}i?| 4*|T*iht \Er U @hi i?_L}i?Lt*)
_i|ih4?i_ tL |@| |i hitLhUi UL?t|h@?| L*_t | |i €tU@* @|Lh|)<t igiU
|i 4@h}?@* h@|i Lu tMt|||L? Mi|ii? Lh! igLh| @?_ UL?t4T|L? _Lit ?L|
h hi@hh@?}i4i?| Lu |i Lh! igLh| @?_ UL?t4T|L? €ht| Lh_ih UL?_|L?t uLh
|i €tU@* @|Lh|) )i*_tG
 E?Er
V?
'
@Erc
 ESEr
VS
3





ihi V? ' d n EKE n #*#o   Ai €tU@* @|Lh|) 4t| hitTiU| |i Lti
L*_<t 4@h}?@* h@|i Lu tMt|||L? Mi|ii? Lh! @?_ UL?t4T|L? uhL4 E2D
L4T@h?} |i |Lc i tii |@| |i €tU@* @|Lh|) 4t| 4@!i EV? *VS  ' E  
A@| tc |i €tU@* @|Lh|) 4t| 4@!i |i |@ h@|i UL?t|@?| tL |@| ^@?||it
Mi@i @t ? |i UL?t|@?| |@ h@|i U*Lti_ + iUL?L4) Ai €tU@* @|Lh|)
ULLtit K tL |@| |i UL?t|@?| |@ h@|i h@tit t| i?L} hii?i |L t@|tu) |i
}Lih?4i?| M_}i| UL?t|h@?| t ThiLt*)c i !?L |@| |i }Lih?4i?| M_
}i| UL?t|h@?| @?_ |i hitLhUi UL?t|h@?|t @hi t@|t€i_ @| |i UL?t|@?| |@ h@|i
tL*|L? uLh |i hiuihi?Ui + iUL?L4)
3

 h?UT*it Lu T|4@* L?i|@h) L*U)
Ai +@4ti) Eb2. TihtTiU|i @t Mii? @TT*i_ |L |i t|_) Lu |L Ui?|h@*
ttit ? 4L?i|@h) iUL?L4Ut ? hiUi?| )i@ht Aihi @t Mii? @ }hi@| _i@* Lu
hiti@hU Lih |i *@t| _iU@_i L? LT|4@* 4L?i|@h) TL*U) ? UL4Ti||ic i M*i
ThUi 4L_i*t W? |t *|ih@|hic |i 4@? uLUt @t Mii? L? |i UL?_|L?t ?_ih
U |i 6hi_4@? h*i 4@?|@??} |i ?L4?@* ?|ihit| h@|i i^@* |L 3ihL t
LT|4@*e Lhi hiUi?|*)c |ihi t @ t4@**ihc M| ^|i @U|ic *?i Lu hiti@hU |@|
47Vhh Fkdul dqg Nhkrh +4<<<,1
H

tit +@4ti) Th?UT*it |L t|_) LT|4@* 4L?i|@h) TL*U) ? |i t|U!) ThUic 4
TihuiU|*) UL4Ti||i 4@UhLiUL?L4U 4L_i*t Lu |i i iLU*@ttU@* 5)?|itt
W? |t tiU|L?c i Thiti?| @ ?i t)?|itt 4L_i* U t U*Lti*) hi*@|i_ |L |i
uh@4iLh!t _ii*LTi_ M) Whi*@?_ EbbS @?_ _@Lc Lhhi@c @?_ Ai*it E2fff `i
U@hh) @*L?} uhL4 5iU|L? 2 |i 4@? @tt4T|L?t @ML| Thiuihi?Uit @?_ ThL_U
|L? |iU?L*L})c @__?} 4TihuiU| UL4Ti||L? @?_ t|U!) ThUit |L |i ULhi hi@*
Mt?itt U)U*i 4L_i* ? Lh_ih |L t|_) LT|4@* 4L?i|@h) TL*U) OLiihc i
tTThitt }Lih?4i?| €tU@* TL*U)c ic }Lih?4i?| ThU@tit @?_ ?UL4i |@ itc
|L UL?Ui?|h@|i L? 4L?i|@h) TL*U)
 W?|hL_U?} 4TihuiU| UL4Ti||L? @?_ t|U!) ThUit
`i UL?|?i |L @tt4i |@| |ihi t @ t?}*i €?@* }LL_c U TihuiU|*) UL4
Ti||i €?@* }LL_t €h4t @tti4M*i uhL4 _gihi?|@|i_ ?|ih4i_@|i }LL_t |@|
@hi ThL_Ui_ M) 4TihuiU|*) UL4Ti||i €h4t 6L**L?} |i M*! Lu |i *|ih@
|hi L? i ki)?it@? 4@UhLiUL?L4Utc i @tt4i |@| |t €?@* }LL_ 4t| Mi
ThL_Ui_QuhL4 @ h@?}i Lu _gihi?|@|i_ ?T| }LL_t ?_i i_ M) 5Q@UULh_?} |L
]

+Er ' d +Erc 5

3

0 
0

0

_5o 03 c

ihi +Erc 5 t |i @4L?| Lu |i 5| ?|ih4i_@|i ThL_U|( +Er t |i @4L?|
Lu |i €?@* }LL_( @?_ 0 :  t @ T@h@4i|ih U }Lih?t |i i*@t|U|) Lu
tMt|||L? @UhLtt }LL_t t t i** !?L? uhL4 |i Lh! Lu # | @?_ 5|}*|3
Eb..c |i 4T*i_ _i4@?_ u?U|L?t |@!i |i uLh4c
+Erc 5 ' E

 E5 0
 +Erc

3

ihi  E5 t |i ThUi Lu |i 5| }LL_ @?_  t @? ?_i Lu |i }i?ih@* ThUi
*ii*D
48Nlpedoo +4<<8, sursrvhv d jhqhudol}dwlrq ri wklv dssurdfk lq zklfk
]
j+|+v,, @

j+|+v> },,g}

zkhuh j lv dq lqyhuwleoh ixqfwlrq/ vr wkdw wkh ghpdqg hodvwlflw| qhhg qrw eh joredoo| frqvwdqw1
Doo ri rxu dujxphqwv lq wklv vhfwlrq duh urexvw wr wklv h{whqvlrq1

b

W4TihuiU| UL4Ti||L?G Wu |t ThUi t i M*ic @? ?|ih4i_@|i }LL_t €h4 4@ 
43it ThL€| E€h4 @*i M) ti||?} |t hi*@|i ThL_U| ThUi @| @ € i_ 4@h!T
Lih hi@* 4@h}?@* ULt| Erc
0
 E5
'
Erc

0
ihi |i i |i?| Lu |i }hLtt 4@h!T E> ' 0 0   t }Lih?i_ M) |i i*@t|U|) Lu
_i4@?_c | @ 4Lhi i*@t|U _i4@?_ *i@_?} |L @ *Lih 4@h!T `i? ThUit
@hi i M*ic |i ThL€| 4@ 43?} 4@h!T t ?@h@?| | hitTiU| |L _i4@?_ Lh
ULt| tLU!t UULh_?}*)c |i i^*Mh4 hi@* @}i h@|i
3

 ' @ '

0
@
0

t *itt |@? |i 4@h}?@* ThL_U| Lu *@MLh _i |L |i 4@h!i| TLih Lu ?|ih4i_@|i
}LL_t €h4t 5?Ui hi@* 4@h}?@* ULt|  t ?L4?@* 4@h}?@* ULt| __i_ M) |i
ThUi *ii*c |t hiUThLU@* t |i @ih@}i 4@h!T E|i ThUi *ii* __i_ M) ?L4?@*
4@h}?@* ULt| Oi?Uic i tii |@| @ }hLtt 4@h!T }hi@|ih |@? ?|) 4T*it
@ hi@* @}i Mi*L |i 4@h}?@* ThL_U| Lu *@MLh Atc i U@? ?|ihThi| |i
4@h!T ? ThL_U| 4@h!i|t @t @ |@ L? Lh! igLh|
5|U!) ThUit @?_ 4TihuiU| UL4Ti||L?G At 4L_i*<t ihtL? Lu |i t|U!)
ThUi @tt4T|L? t hiiU|i_ ? Lh ULti? ?L|@|L?G |i 5| ?|ih4i_@|i }LL_t
ThL_Uih ti|t |i ?L4?@* ThL_U| ThUi  E5 ? @_@?Ui Lu |i t|@|i Lu ?@|hi
UULh_?}*)c |i }i?ih@* ThUi *ii*  ** @*tL Mi _i|ih4?i_ MiuLhi |i t|@|i Lu
?@|hi t hi@*3i_ `| t|U!) ThUitc |i ?|ih4i_@|i }LL_t ThL_Uih ti*iU|t
|t ThL_U| ThUi |L 4@ 43i |i €h4<t @*i ? |i UL?|?}i?| U*@4t 4@h!i|c
]

dE

 E5
 Er+Erc 5o^ErEr_rc


ihi |i €h4 |@!it ?|L @UUL?| |t _i4@?_ u?U|L?c
+Erc 5 ' E

 E5 0
 +Er

3

? ULLt?} |i @*i 4@ 43?} ThUi W? |t 4@h!i| @*i i ThittL?c Er t
hi@* 4@h}?@* ULt| `i UL?|?i |L @tt4i |@| ThL_U|L? t *?i@hc +Erc 5 '
@Er?Erc 5c @?_ |@| *@MLh U@? Mi ThU@ti_ @| @}i h@|i Er Oi?Uic hi@*
2f

4@h}?@* ULt| t t4T*) |i h@|L Lu |i hi@* @}i |L |i 4@h}?@* ThL_U| Lu *@MLh
Er ' Er*@Er
@ 43@|L? Lu €h4 @*i hi^hit |@|
f'

]


 E5 0
  E5 0 
d E  0E
+Ero^ErEr_r
 +Er n 0Er E



 
3

3 3

W? @ t)44i|hU 4@h!i| i^*Mh4c @** €h4t ULLti  E5 '  @?_ |i @*i
4@ 43?} ThUiti||?} UL?_|L? |i? 4T*it |@|
f'

]

dE  0 n 0Ero+Er^ErEr_r

E 

At i ThittL? 4T*it |@| ?|ih4i_@|i }LL_t €h4t 4TLti @ UL?t|h@?| L? |i
Mi@Lh Lu |i 4@h!T ELh hi@* 4@h}?@* ULt| |@| L*_t L? @ih@}i @UhLtt t|@|it
Lu ?@|hi `i U@? i Thitt E  ? _i@|L?t Lu 4@h}?@* ULt| uhL4 |i Uih|@?|)
Et?}*i t|@|i U@ti
]
E 2
f ' dEr  o+Er^ErEr_rc
ihi i @i 4*|T*i_ |i UL?_|L? M)  |L u@U*|@|i ?|ihThi|@|L? *@|ih
`i? i UL?t_ih |i 4L?i|@h) @|Lh|)<t TL*U) ThLM*i4 Mi*Lc E 2 ** T*@)
@ hL*i @?@*L}Lt |L |i hL*i T*@)i_ M) |i }Lih?4i?| M_}i| UL?t|h@?| ? |i
€tU@* @|Lh|)<t TL*U) ThLM*i4 ? 5iU|L? 2 Ai }Lih?4i?| M_}i| UL?t|h@?|
}@i |i €tU@* @|Lh|) |i i M*|) |L 4@!i |i |@ h@|i @h) | |i t|@|i Lu
?@|hic @t *L?} @t |@ TL*U) ? UL??U|L? | ThU@tit @?_ t@*it Lu UL?|?}i?|
U*@4t t@|t€i_ |i }Lih?4i?|<t M_}i| Oihic |i €h4<t ThUi ti||?} UL?_|L?
}it |i 4L?i|@h) @|Lh|) |i i M*|) |L 4@!i |i 4@h!T Ehi@* 4@h}?@*
ULt| @h) | |i t|@|i Lu ?@|hic @t *L?} @t R4@h!T TL*U) ? UL??U|L?
| ThU@tit @?_ t@*it Lu UL?|?}i?| U*@4t M) €h4t t@|t€it |i €h4<t @*i
4@ 43?} ThUi ti||?} UL?_|L? `i i T*@? |i 4L?i|@h) @|Lh|)<t *iih@}i
Lih |i 4@h!T Mi*L
2 Ai ULhi hi@* Mt?itt U)U*i 4L_i*
W? |i ?|hL_U|L? i t|hitti_ |@| 4L_i*t Lu |i i iLU*@ttU@* 5)?|itt @i
@ hi@* Mt?itt U)U*i ULhi |@| U@? Mi @?@*)3i_ }i? |i Mi@Lh Lu |i 4@h!T
ELh hi@* 4@h}?@* ULt| `i ?L _tUtt |i ULhi hi@* Mt?itt U)U*i 4L_i*t uLh
|i LTi? @?_ U*Lti_ 5 iUL?L4it
2

2 L44L? i*i4i?|t
W? i|ih ti||?}c LtiL*_t 4@ 43i |*|) tMiU| |L |ih UL?|?}i?| U*@4t
M_}i| UL?t|h@?| At |@!it |i uLh4
]

SEr^ErEr_r 

]

dEr?Ero^ErEr_r n lc

ihi l t |i 4@h!i| @*i Lu ?|ih4i_@|i }LL_t €h4t |@| @htit uhL4 4L?LTL*)
ThL€|t Ai €ht|Lh_ih UL?_|L?t uLh UL?t4T|L? @?_ Lh! igLh| @hi
 ESEr ' b^Er
 E?Er ' bEr^Er ' bEr@Er^Erc


E  



ihi |i tiUL?_ i^@*|) ? |i *@MLh iUi?U) UL?_|L? @htit uhL4 |i _iu
?|L? Lu hi@* 4@h}?@* ULt| Atc |i LtiL*_<t €ht| Lh_ih UL?_|L?t @hi
_i?|U@* ? |i ?UL4i |@ iUL?L4) Lu 5iU|L? 2 @?_ |i 4L?LTL*t|U UL4Ti|
|i iUL?L4) Lu 5iU|L? i UiT| |@| Er hiT*@Uit E  Er At tL*_ ?L|
Mi thTht?} t?Uic @t i t@ @MLic |i 4@h!T Ttit |i hi@* @}i Mi*L
|i 4@h}?@* ThL_U| Lu *@MLh W? igiU|c |i 4@h!T t @? ?UL4i |@ UL**iU|i_
M) ?|ih4i_@|i }LL_t €h4t @?_ hi_t|hM|i_ |L LtiL*_t @t ThL€|  }hLtt
4@h!T ? i Uitt Lu ?|) t hiiU|i_ ? hi@* 4@h}?@* ULt| Mi*L ?|) ? |i
LtiL*_<t €ht| Lh_ih UL?_|L? uLh Lh!
`Lh!?} | |i _i€?|L?t Lu ThL€|t @?_ 4TLt?} |i t)44i|hU i^*M
h4 @t @MLic i €?_ |@|
? i^*Mh4U |i LtiL*_<t UL?|?}i?| U*@4t
U
M_}i| UL?t|h@?| t t| dSEr^ErEr_r  @Er?Er^ErEr_rS OLiihc @
UL4Ti||i LtiL*_ _Lit ?L| |@!i ?|L @UUL?| |i 4T*i_ igiU| Lu Lh! igLh|
L? ThL€|t ? ULLt?} L |L Mi@i At t4T*€U@|L? Lu |i LtiL*_<t M_
}i| UL?t|h@?| hiiU|t |i u@U| |@| ThL€|t }i?ih@|i_ M) 4@h!Tt @hi @ |@ @?_
|h@?tuih ThL}h@4 | ?L i@*| igiU|t
22 #gihi?Uit
#iTi?_?} L? i|ih |i iUL?L4) t U*Lti_ Lh LTi?c |ihi ** Mi _gihi?Uit |@|
@hi i @U|*) T@h@**i* |L |Lti ? Lh UL?t_ih@|L? Lu €tU@* TL*U) ? |i ThiUi_?}
49Wkh exgjhw frqvwudlqw lqyroyhv zdjh lqfrph dqg surw lqfrph iurp lqwhuphgldwh jrrgv
upv1

22

tiU|L? W? |i t4@** LTi? iUL?L4) UL?|?}i?| U*@4t ThUit @hi i L}i?Lt @?_
|ihi t |)TU@**) @ hi@tL? uLh UhLttt|@|i |h@_i | |i Lh*_ €?@?U@* 4@h!i| W?
|i U*Lti_ iUL?L4)c t|@|i ThUit @hi i?_L}i?Lt @?_ |ihi U@? Mi ?L |h@_i @UhLtt
t|@|it
2  Ai hitTL?ti Lu iUL?L4U @U||)
W? |i t4@** LTi? iUL?L4)c |i t|@|iUL?|?}i?| T@||ih? Lu UL?t4T|L? t T??i_
_L? M) |i UL4M?@|L? Lu |i M_}i| UL?t|h@?| @?_ |i €ht|Lh_ih UL?_|L?
uLh UL?t4T|L? @?}it ? |i @ih@}i 4@h!T >Er Lhc i^@*i?|*)c ? hi@*
4@h}?@* ULt| Er U@ti U@?}it ? Lh! igLh|c ?_U?} ?__@*t |L tMt|||i
@UhLtt t|@|it Lu ?@|hi ? @ @) |@| t t| *!i |i hitTL?ti |L ThL_U||) @Er
Lh |@ h@|it Er  } *ii* Lu Er@Er^Er ?_Uit } *@MLh tTT*)c |
|i 4@}?|_i Lu |t hitTL?ti Mi?} }Lih?i_ M) |i *@MLh tTT*) i*@t|U|) #
Wu |i 4@h!T t UL?t|@?| @UhLtt t|@|it Lu ?@|hic |i? |i hitTL?ti |L tLU!t t
t| *!i |i hiuihi?Ui + tL*|L? ? |i t4@** LTi? iUL?L4)c | iUL?L4U
@U||) _gih?} uhL4 |i t|@?_@h_ UL4Ti||i U@ti L?*) ? |@| |i @ih@}i *ii*
Lu Lh! igLh| @?_ UL?t4T|L? @hi *Lih
W? |i U*Lti_ iUL?L4)c UL?t4T|L? 4t| LMi) |i hitLhUi UL?t|h@?| ESEr '
@Er?Er L? @ t|@|iM)t|@|i M@ttc @?_ UL?|?}i?| U*@4t ThUit 4t| @_t| |L
U*i@h €?@?U@* 4@h!i|t t?Ui |ihi t ?L |h@_i Mi|ii? t|@|it hL_U||) tLU!t
@i Lgti||?} i@*| @?_ tMt|||L? igiU|t @t _tUtti_ @MLi @?}it ?
|i 4@h!T Lh! *!i U@?}it ? ThL_U||) i UiT| |@| |i 4@h!T i ih|t @
tMt|||L? igiU| M| ?L i@*| igiU| L? *@MLh tTT*) Oi?Uic @ U@?}i ? |i
4@h!T @t @ 4Lhi TLihu* igiU| L? Lh! igLh| |@? @? i^@*i?| U@?}i ?
ThL_U||) OLiihc |i Lh! igLh| hitTL?ti |L 4@h!T 4Li4i?|t t t4@**ih
|@? ? |i LTi? iUL?L4)c t?Ui @ *L 4@h!T t T@h|*) Lgti| M) @ _iU*?i ?
t|@|i ThUit }@?c u |i 4@h!T t UL?t|@?| @UhLtt t|@|it Lu ?@|hic |i? |i
hitTL?ti |L tLU!t t t| *!i |i U*Lti_c UL?t|@?| |@ hiuihi?Ui + iUL?L4)c
| iUL?L4U @U||) _gih?} uhL4 @ TihuiU|*) UL4Ti||i + iUL?L4) U@ti
L?*) ? |@| |i @ih@}i *ii* Lu Lh! igLh| @?_ UL?t4T|L? @hi *Lih
  T|4@* 4L?i|@h) TL*U)
L_i*t Lu |i i iLU*@ttU@* 5)?|ittc tU @t |t L?ic *LU@|i |i |h@?t4t
tL? Lu 4L?i|@h) TL*U) |L hi@* iUL?L4U @U||) ? |t ?i?Ui L? |i @ih@}i
4@h!Tc Lh hi@* 4@h}?@* ULt| Ai 4L?i|@h) @|Lh|) i ihUtit |t *iih@}i
2

Lih hi@* @}}hi}@|i _i4@?_ |hL} @ 4L?i) _i4@?_ u?U|L?c t?} |i ?L4
?@* 4L?i) t|LU! @t |t TL*U) ?t|h4i?|. Wu i @tt4i |@| |i _i4@?_ uLh hi@*
4L?i) M@*@?Uit _iTi?_t L?*) L? hi@* tTi?_?}c |i? i U@? |?! Lu t|@|i UL?|?
}i?| @}}hi}@|i _i4@?_ +Er @t _i|ih4?i_ M) |i t|@|i UL?|?}i?| 4L?i) t|LU!
 Er @UULh_?} |L +Er ' Er*c ihi  t |i Thi_i|ih4?i_ ThUi *ii*H
L?LTL*t|U@**) UL4Ti||i ?|ih4i_@|i }LL_t €h4t @UUL44L_@|i @|iih
L|T| t _i4@?_i_ @| |ih Thi_i|ih4?i_ ThUit Ai _i4@?_ uLh ?|ih4i_@|i
}LL_t t _ihi_ uhL4 @}}hi}@|i €?@* }LL_t _i4@?_ +Er ?_ hi@* L|T| t _i
|ih4?i_ M) 4L?i|@h) TL*U) |hL} |t |h@?t4ttL? 4iU@?t4  4L?i|@h)
TL*U) @U|L? U h@tit hi@* @}}hi}@|i _i4@?_ h@tit 4@h}?@* ULt| @?_ *Liht
|i @ih@}i 4@h!T tUi?|*) |L Mh?} uLh| @? @UUL44L_@|?} ?Uhi@ti ? i4
T*L)4i?| @?_ @}}hi}@|i tTT*) Ai *Lih 4@h!T Lh!t *!i @ hi_U|L? ? |i
|@ h@|i L? Lh! igLh| ? |i ULhi + 4L_i* |L tt|@? |i hi^hi_ ?Uhi@ti ?
i4T*L)4i?| @?_ L|T|
h @TThL@U |L 4L?i|@h) TL*U) |t hiiU|t |L _i@t uhL4 |i i iL
U*@ttU@* 5)?|itt 6ht|c 4L?LTL*t|U@**) UL4Ti||i €h4t |@| € ?L4?@*
ThUit ? @_@?Ui }i |i 4L?i|@h) @|Lh|) *iih@}i Lih hi@* @}}hi}@|i _i
4@?_ 5iUL?_c |@| *iih@}i Uhi@|it @UUL44L_@|?} 4Li4i?|t ? i4T*L)4i?|
@?_ @}}hi}@|i tTT*) |hL} |t igiU| L? |i 4@h!T |@ L? Lh!b
Ai 4L?i|@h) @|Lh|)<t TL*U) ThLM*i4 t @?@*L}Lt |L |i €tU@* @|Lh
|)<t |@ ThLM*i4 ? 5iU|L? 2 Ai 4L?i|@h) @|Lh|) tL*_ 4@ 43i |i
LtiL*_<t i TiU|i_ |*|) tMiU| |L |i hi*i@?| hitLhUi UL?t|h@?| EuLh |i
U*Lti_ Lh LTi? iUL?L4) @?_ |i ?|ih4i_@|i }LL_ €h4t @*i 4@ 43?} ThUi
ti||?} UL?_|L? E 2c U *!i |i }Lih?4i?| M_}i| UL?t|h@?| ? 5iU|L? 2
t @ UL?t|h@?| L? |i @ih@}i E4@h!T |@ h@|i @UhLtt t|@|it Lu ?@|hi 6hL4
|t TihtTiU|ic i _i|ih4?i LT|4@* t|@|i UL?|?}i?| 4L?i|@h) TL*U)  Er |L
hi@*3i |i i*u@hi 4@ 43?} t|@|i UL?|?}i?| T@||ih? Lu 4@h!Tt @?_ L|T|
4:Rswlpdo prqhwdu| srolf| frxog dovr eh lpsohphqwhg zlwk dq lqwhuhvw udwh uxoh1
4;Zkloh wklv pd| vhhp duelwudu|/ Nlqj dqg Zropdq +4<<<, dujxh wkdw wkh txdqwlw| htxdwlrq
P@S @ !| fdq eh ghulyhg iurp d vwdqgdug _vkrsslqj wlph% dssurdfk wr wkh ghpdqg iru prqh|/
dv d olplwlqj fdvh lq zklfk lqwhuhvw lv sdlg rq prqh| dw mxvw ehorz wkh pdnhw udwh vr wkdw wkh
wuldqjohv xqghu wkh ghpdqg iru prqh| duh wkxv vxssuhvvhg1
4<Jrrgiulhqg +4<<:, dqg Nlpedoo +4<<8, vwuhvv wkh lpsruwdqfh ri pdunxs yduldwlrqv lq df0
frxqwlqj iru wkh uhdo hhfwv ri prqhwdu| srolf|1 Vhh dovr wkh glvfxvvlrq lq Urwhpehuj dqg
Zrrgirug +4<<<,/ ss144460;1 Jrrgiulhqg h{solflwo| vroyhv iru rswlpdo prqhwdw| srolf| dv rswl0
pdo wd{ srolf| xvlqj d surfhgxuh dqdorjrxv wr wkdw xvhg lq wklv sdshu/ wkrxjk kh xvhv d yhu|
glhuhqw sulflqj whfkqrorj|1

2e

@u|ih i _i|ih4?i @| |iti tL*_ Mi
  T|4@* 4L?i|@h) TL*U) ? |i t4@** LTi? iUL?L4)
`i @?@*)3i LT|4@* 4L?i|@h) TL*U) t?} |i t@4i @TThL@U @t ? |i LT|4@*
€tU@* TL*U) @?@*)tt Lu 5iU|L? 2 `i Mi}? M) hih|?} E 2 t?} |i Lti
L*_<t €ht| Lh_ih UL?_|L? uLh Lh! uhL4 E   |L )i*_
f'

]

d E?Er?Er  @Er?Er^EroEr_rc


E e

ihi i ?Lh4@*3i b '  uLh UL?i?i?Ui @t ? |i €tU@* TL*U) @?@*)tt2f
6Lh |i t4@** LTi? iUL?L4)c
|ihi t @*tLU@ ui@tM*|)Lu|h@_i UL?t|h@?| uLh
U
|i iUL?L4) @t @ L*i SEr^ErEr_r  @Er?Er^ErEr_r @ 43?}
|i LtiL*_<t i TiU|i_ |*|) tMiU| |L 4T*i4i?|@|L? UL?t|h@?| E e @?_
|i |h@_i UL?t|h@?| )i*_t @ €ht| Lh_ih UL?_|L? uLh UL?t4T|L?
 ESEr ' \^Er


@?_ L?i uLh Lh! igLh|
 E?Er ' E\ n K@Er^Er  Ki E?Er n ?Er E?Erjc






ihi \ t |i 4*|T*ih L? |i |h@_i ui@tM*|) UL?t|h@?| @?_ K t |i 4*|T*ih
L? |i 4T*i4i?|@|L? UL?t|h@?| L|i |@|c i UiT| uLh |i Thiti?Ui Lu c|i €ht|
Lh_ih UL?_|L?t uLh LT|4@* 4L?i|@h) TL*U) ? @ t4@** LTi? iUL?L4) ULhhitTL?_
|L |Lti uLh LT|4@* €tU@* TL*U) @MLi
 2 Vihu)?} |@| @ UL?t|@?| 4@h!T t LT|4@*
Oihi i @t! i|ih |i LT|4@* ^@?||it uhL4 |i 4L?i|@h) @|Lh|)<t Tih
tTiU|i _gih uhL4 |Lti |@| @hti ? @ € i_ 4@h!T E4TihuiU|*) UL4Ti||i
+ hiuihi?Ui 4L_i* `i ThLUii_ |L @?tih |i ^it|L? i @U|*) @t MiuLhiG i
UL?t_ih i|ih | t TLttM*i |L hi@hh@?}i |i 4L?i|@h) @|Lh|)<t €ht| Lh
_ih UL?_|L?t tL |@| |i) *LL! t| *!i |Lti Lu @ LtiL*_ ? |i i M*i
ThUic 4TihuiU|*) UL4Ti||i + iUL?L4) ihi |i 4@h!T t UL?t|@?| Ai
53Zh gr qrw lpsrvh f+v, @ d+v,q +v, ehfdxvh krxvhkrogv fdq ghfrxsoh frqvxpswlrq iurp
surgxfwlrq e| wudglqj frqwlqjhqw fodlpv dw jlyhq sulfhv lq zruog qdqfldo pdunhwv1

2D

UL?t4T|L? T*@? t @*hi@_) U*i@h*) ? |t uLh4 `| Lh UL?t|@?| i*@t|U|)
Thiuihi?Uitc |i 4L?i|@h) @|Lh|)<t €ht| Lh_ih UL?_|L? uLh Lh! igLh| 4@) Mi
hih||i? @t
w?Er*# ' V?J @Er^Er
| V?J ' E\ n K*d n EKE n #*#o h UL?t|@?| i*@t|U|) Thiuihi?Ui tTiU
€U@|L? 4T*it |@| | t LT|4@* |L ULLti Lh! igLh| tL |@| | @hit ? i @U|*)
|i t@4i @) @t ? |i UL?t|@?| 4@h!T hiuihi?Ui + iUL?L4)c ii? |L} | t
ui@tM*i |L €?_ L|ih T@||ih?t W? u@U|c @ UL4T@htL? Lu |i 4L?i|@h) @|Lh|)<t
€ht| Lh_ih UL?_|L?t ?_U@|it |@| V?J '  ' 0 0   `i UL?U*_i |@| | t LT|
4@* uLh |i 4L?i|@h) @|Lh|) |L 4@!i |i 4@h!T UL?t|@?| @UhLtt t|@|it ii?
|L} | UL*_ ? Th?UT*i Mi @hi_ T|4@* 4L?i|@h) TL*U) t ?iih|i*itt
@U|t| Ai t|@|i UL?|?}i?| 4L?i) tTT*)  Er tL*_ @h) tL |@| @}}hi}@|i
_i4@?_ @UUL44L_@|it U|@|L?t ? TL|i?|@* L|T| }i?ih@|i_ M) |i +
ULhi Lu |i ?i t)?|itt 4L_i*
3

   T|4@* 4L?i|@h) TL*U) ? |i U*Lti_ iUL?L4)
W? |i U*Lti_ iUL?L4)c |i 4L?i|@h) @|Lh|) t UL?t|h@?i_ M) |i t|@|iM)t|@|i
hitLhUi UL?t|h@?|c SEr ' @Er? Erc | ?L TLttM*|) Lu t4LL|?} UL?t4T
|L? @UhLtt t|@|it @ |h@_i | |i t@4i |4ic |i 4L?i|@h) @|Lh|) }@?t
*iih@}i Lih |i t|@|i ThUit ^Er U i?|ih |i 4T*i4i?|@|L? UL?t|h@?|
E e Nt?} |i LtiL*_<t €ht| Lh_ih UL?_|L? |L tMt|||i L| uLh ^Erc i
h|i |i 4T*i4i?|@|L? UL?t|h@?| @t
f'

]

d E?Er?Er   ESErSEroEr_r




E D

Ai 4L?i|@h) @|Lh|) ?L 4@ 43it i TiU|i_ LtiL*_ |*|) tMiU| |L
|i t|@|iM)t|@|i hitLhUi UL?t|h@?| @?_ |i 4T*i4i?|@|L? UL?t|h@?| E D
T|4@* ULUi Lu UL?t4T|L? 4@?_@|it
 ESEr ' \Er  Kd ESEr n SEr ESEro






| \Er Mi?} |i 4*|T*ih L? |i hitLhUi UL?t|h@?| ? t|@|i r @?_ K @}@?
Mi?} |i 4*|T*ih L? |i 4T*i4i?|@|L? UL?t|h@?| T|4@* ULUi Lu Lh!
igLh| hi^hit |@|
 E?Er ' \Er@Er  Ki E?Er n ?Er E?Erj




2S



L|i |@| i UiT| uLh |i Thiti?Ui Lu c |i €ht| Lh_ih UL?_|L?t uLh |i 4L?i
|@h) @|Lh|)<t ThLM*i4 4@|U |Lti uhL4 |i ULhhitTL?_?} LT|4@* |@ ThLM*i4
uLh |i U*Lti_ iUL?L4)
 e Vihu)?} |@| @ UL?t|@?| 4@h!T t LT|4@*
L| thTht?}*)c | UL?t|@?| i*@t|U|) Thiuihi?Uit uLh ML| Lh! @?_ UL?t4T
|L? @t MiuLhic i U@? _i|ih4?i |@| |i @**LU@|L?t U Thi@* | @ UL?t|@?|
4@h!T @hi LT|4@* }@?c |i ThLUi_hi t |L |h@?tuLh4 |i €ht| Lh_ih UL?_
|L?t uhL4 |i 4L?i|@h) @|Lh|)<t ThLM*i4 6Lh UL?t4T|L?c i U@? h|i
SEr * ' VS \Er
3

| VS ' d n KE  E*o   6Lh Lh! igLh|c i U@? h|i
3

w?Er*# ' V? \Er@Er
| V? ' d n EKE n #*#o   t MiuLhic i !?L |@| |i 4L?i|@h) @|Lh|)
4t| hitTiU| |i €ht| Lh_ih UL?_|L?t Lu €h4t L4T@h?} |i h@|L Lu |i
4L?i|@h) @|Lh|)<t €ht| Lh_ih UL?_|L?t |L |i h@|L Lu |i LtiL*_<t €ht|
Lh_ih UL?_|L?t uhL4 E  c i tii |@| LT|4@* 4L?i|@h) TL*U) hi^hit  '
V? *VS c U ULhhitTL?_t |L |i   ' V? *VS UL?_|L? ? |i U*Lti_ iUL?L4)
?UL4i |@ ThLM*i4 6h|ihc i? i hi^hi  ' V? *VS c i *i@h? |@| K '
E  *Ed # n  o : fc tL |@| i 4@) tiu**) |?! Lu |i 4T*i4i?|@|L?
UL?t|h@?| @t @ M_}i| UL?t|h@?| `| @ UL?t|@?| 4@h!Tc |i 4T*i4i?|@|L?
UL?t|h@?| t ?iUitt@h*) t@|t€i_ @?_ |i UL?t|@?| 4@h!T tL*|L? @*tL t@|t€it
|i hitLhUi UL?t|h@?|
Atc uLh @ U*Lti_ iUL?L4)c i €?_ |@| LT|4@* 4L?i|@h) TL*U) 4@?|@?t
4@h!T UL?t|@?U) i? Thiuihi?Uit uLh UL?t4T|L? @?_ Lh! @hi UL?t|@?| i*@t
|U L?i|@h) TL*U) tL*_ 4@?@}i |i t|LU! Lu 4L?i) |L 4@!i @}}hi}@|i
_i4@?_ @UUL44L_@|i 4Li4i?|t ? TL|i?|@* L|T| ? |i U*Lti_ iUL?L4) ULhi
+ iUL?L4) | @ € i_ 4@h!T
3

e `@| i @i *i@h?i_ @ML| ThUi t|@M*|)
`i @i _itUhMi_ |L U*Lti*) hi*@|i_ ti|Tt ? U @ 4L?i|@h) @?_ €tU@*
@|Lh|) ULLti TL*U) LT|4@**) @?_ ? U TL*U) @t @ t4T*i @?_ ?||i
uLh4 Lhi tTiU€U@**)c i @i 4@_i 4Lhi ThiUti |i hi*@|L?tT Mi|ii? |@
2.

t4LL|?} @?_ 4@h!T t4LL|?} |@| i Lh}?@**) t}}it|i_ ? Lh i TLt|L?
Lu |i i iLU*@ttU@* 5)?|itt dBLL_uhi?_ @?_ k?} Ebb.o `i ** tii *@|ih
|@| |t ULhhitTL?_i?Ui t ^|i i*Tu* uLh !?||?} |L}i|ih hit*|t ? _ihti
*|ih@|hit @?_ ? uLhiU@t|?} ThL€|@M*i *?it Lu hiti@hU @U||)
vi|c |i t4T*i 4L?i|@h) 4L_i* |@| i @i _itUhMi_ t L?i ? U |i
ThUi *ii* t t|@M*i M) UL?t|hU|L?G @** €h4t 4t| ti| |ih ThUit ? @_@?Ui Lu
|i t|@|i Lu ?@|hi @?_ ?L €h4t U@? @_t| |ih ThUit ? |i u@Ui Lu @U|L?t M) |i
4L?i|@h) @|Lh|) `i @h}i |@| |i 4L_i* t ?iih|i*itt hii@*?} @ML| |i
U@ti uLh ThUi t|@M*|) `i _L tL M) _itUhM?} ihi |L ui@tM*i i |i?tL?t Lu |i
4L_i* |@| 4@!i |i ThUi *ii* i?_L}i?Ltc M| _L ?L| @*|ih |i 4T*U@|L? |@|
|i 4@h!T tL*_ Mi t|@M*3i_ Ai hi@tL? t |@| | 4@h!T UL?t|@?U) |Lti
€h4t U U@? @_t| |ih ThUit ULLti ?L| |L _L tL @?_ |i ThUi *ii* _Lit
?L| 4Li ?_ih LT|4@* TL*U) i|ih Lu |i i |i?tL?t U@?}it |i ?_ih*)?}
hi@* t|hU|hi tL @t |L @*|ih |i _ith@M*|) Lu 4@h!T UL?t|@?U)
Ai €ht| i |i?tL? t L?i U @**Lt @ tTiU€U uh@U|L? Lu €h4tc kc |L @_t|
|ih ThUit @u|ih tii?} |i t|@|i Lu ?@|hi *i hi^h?} |i hi4@?_ih Lu |i
€h4t E  k |L !iiT |ih ThUit € i_ At t|hU|hi t @? @_@T|@|L? Lu |i
t|LU@t|U @_t|4i?| 4L_i* Lu @*L EbH  |L Lh t4T*i i?hL?4i?| Ai
ThUi *ii* U@? 4Li ? hitTL?ti |L tLU!t OLiihc t?Ui ?_ih*)?} |iU?L*L}it
@?_ Thiuihi?Uit @hi ?L| ?i?Ui_ M) |t ThUi @_t|4i?| t|hU|hic |ihi t ?L
hi@tL? uLh LT|4@* TL*U) |L U@?}i W? T@h|U*@hc |i uLh}L?} @?@*)tt 4T*it
|@| |i LT|4@* UL?t|@?| 4@h!T @*tL 4@ 43it €h4 ThL€|t Atc 4L?i|@h)
TL*U) |@| 4@?|@?t LT|4@* 4@h!T UL?t|@?U) }it @_t|?} €h4t @? ?Ui?|i
|L hi?i |ih hi*@|ic @?_ |ihiuLhic |ih ?L4?@* ThUit
Ai tiUL?_ i |i?tL? t L?i U @**Lt iih) €h4 |L @_t| @u|ih |i u@U|c
M| | @ _gihi?|@* hitLhUi ULt| Lu @_t|?} ThUitc h@?}?} uhL4 *L |L }
At t|hU|hi t @? @_@T|@|L? Lu |i t|@|i _iTi?_i?| ThU?} 4L_i* Lu #L|ti)c
k?} @?_ `L*4@? Ebbb |L Lh t4T*i i?hL?4i?| ? ?__@* €h4 U@?
4@!i @ UL4T@htL? Mi|ii? |i ULt|t Lu ThUi @_t|4i?| @?_ |i Mi?i€|tc |
@_t|4i?| LUUhh?} u | t Th@|i*) _ith@M*i ?Ui @}@?c Liihc |i UL?
t|@?| 4@h!T TL*U) @L_t |i ?iUitt|) Lu @?) tU ULt|*) ThUi @_t|4i?|
N?_ih*)?} |iU?L*L}it @?_ Thiuihi?Uit @hi ?L| ?i?Ui_ M) |i ?|hL_U|L? Lu
|i ULt|*) LTTLh|?|it uLh ThUi @_t|4i?| 5?Ui |i LT|4@* UL?t|@?| 4@h!T
@*tL 4@ 43it €h4 ThL€|tc €h4t @i ?L hi@tL? |L U@?}i |ih ThUit t Mi
uLhic |ihi t ?L hi@tL? uLh 4L?i|@h) TL*U) |L _iT@h| uhL4 4@h!T UL?t|@?U)c
@?_ 4@h!T UL?t|@?U) t|@M*3it |i ThUi *ii*
2H

e 5 L_i*t t "@?||@|i w@MLh@|Lhit
Ai t4T*i 4L?i|@h) 4L_i* |@| i t| _tUtti_ ui@|hi_ 4TihuiU| UL4Ti||L?
@?_ ThUit |@| ihi t|U!) uLh @ t?}*i TihL_ `*i | t TLttM*i |L ?|ihThi|
|i t?}*i TihL_ @t L?i Lu 4@?)c ? U |ihi @hi ?L ?|ih|i4TLh@* *?!t @UhLtt
TihL_tc 4Lt| hiUi?| Lh! L? 5 4L_i*t @t ?|hL_Ui_ _)?@4U *?!@}it U
i |?! @hi Uh|U@* uLh 4@|U?} LMtihi_ ui@|hit Lu Mt?itt U|@|L?t @?_
uLh i@*@|?} |i UL?ti^i?Uit Lu @*|ih?@|i 4L?i|@h) TL*Uit Aiti hUih
5 4L_i*t @hi ^@?||@|i *@MLh@|Lhit |@| U@? Mi ti_ uLh ML| TLt|i @?_
?Lh4@|i ThTLtit W? @| uL**Ltc i i T*L| 4TLh|@?| ui@|hit Lu ?@Mh_}i_
5 4L_i*t }*}|i_ Mi*L |L _ii*LT Lh U@ti uLh ThUi t|@M*|) 4Lhi u**)
e Ai + ULhi
5 4L_i*t @i @ hi@* Mt?itt U)U*i ULhi U ui@|hit ?|ih|i4TLh@* ULUit
uLh LtiL*_t | hitTiU| |L UL?t4T|L?c t@?}c @?_ Lh! igLh| 5 4L_i*t
@*tL uhi^i?|*)c M| ?L| @*@)tc ?ULhTLh@|i ?it|4i?| _iUtL?t L? |i T@h| Lu
€h4t |? |i + ULhi 5L4i 5 t|_it @hi Mi}???} |L @**L €h4t |L
@h) |i |*3@|L? Lu |i U@T|@* t|LU! @t i**
wittL?t uhL4 + 4L_i*?} U@hh) Lih |L |i @ttLU@|i_ 5 4L_i* 6Lh
i @4T*ic |i hitTL?ti |L ThL_U||) Lh }Lih?4i?| tTi?_?} tLU!t ? +
iUL?L4it _iTi?_t ? @ UhU@* 4@??ih L? |i i |i?| |L U |iti tLU!t @hi
Tih4@?i?| Lh |h@?t|Lh) 54@** i@*| igiU|t t4*@h |L |Lti ? |i UL4T*i|i
4@h!i|t U@ti @MLi @hi @ttLU@|i_ | |h@?t|Lh) tLU!tc | *@h}ih i@*|
igiU|t t4*@h |L |Lti ? |i U*Lti_ iUL?L4) U@ti UL4?} @ML| uLh 4Lhi
Tih4@?i?| tLU!t + 4L_i*t @*tL ?_U@|i |@| |i |h@?t|Lh) Lh Tih4@?i?|
?@|hi Lu @ tLU! t 4TLh|@?| uLh |i ?|ih|i4TLh@* tMt|||L? hitTL?tit Lu
LtiL*_t @?_ €h4t |L U@?}it ? @}it @?_ ?|ihit| h@|it 6Lh ?t|@?Uic |i
t|Lh@M*|) Lu L|T| u@U*|@|it UL?t4T|L? t4LL|?}c U i*Tt |i i@*|
igiU|t Lu |i4TLh@h) tLU!t |L Mi _t|hM|i_ Lih 4@?) TihL_t L?t4T|L?
t4LL|?} Lh!t *!i ?th@?Ui ? UL?|?}i?| U*@4t @t _tUtti_ ? |i ThiLt
tiU|L?t |L @**L Lh! igLh| |L hitTL?_ 4Lhi i*@t|U@**) |L |i4TLh@h) 4ThLi
4i?|t ? @}it @?_ ThL_U||) |@? L|ihti

2b

e2 5|@}}ihi_ ThUiti||?}
W? 5 4L_i*tc ThUiti||?} t |)TU@**) 4L_i*i_ @t t|@}}ihi_c | |i 4Lt|
UL44L? ihtL? Mi?} |4i _iTi?_i?| ThU?} @t ? A@)*Lh EbHf @?_ @*L
EbH  +i*@|i |L |i t4T*i 4L_i*c |t i |i?tL? hi|@?t |i 4T*U@|L? |@|
LT|4@* ThU?} ?L*it @ 4@h!T Lih 4@h}?@* ULt|c M| |i ThU?} _iUtL? ?
L*it ?|ih|i4TLh@* UL?t_ih@|L?t MiU@ti |i ThUi 4@) Mi i*_ € i_ uLh tiih@*
TihL_t @t| ThUit MiUL4i i*i4i?|t Lu |i hi*i@?| t|Lh) Lu |i iUL?L4) Ai
ThUi *ii*c @t A@)*Lh EbHf t|hitti_c ?L*it ML| ?ih|@ _i |L |i ?i?Ui Lu
T@t| ThUit @?_ i TiU|@|L?t _i |L |i uLh@h_*LL!?} ThU?} h*it Lu €h4t
OLiihc @t t|hitti_ ? BLL_uhi?_ @?_ k?} Ebb.c |i ThUit ULti? M)
@_t|?} €h4t @hi u?U|L?t Lu |i i TiU|i_ T@| Lu ?L4?@* 4@h}?@* ULt|c |L @
€ht| @TThL 4@|L? 5Lc |i ThUi *ii* @?_ |i ?@|L? h@|i _iTi?_c ? }i?ih@*c
L? |i T@t| t|Lh) Lu ?__@* ThUit @?_ |i i TiU|i_ T@| Lu ?L4?@* 4@h}?@*
ULt| UULh_?}*)c @ TL*U) U t|@M*3it hi@* 4@h}?@* ULt| @*tL t|@M*3it |i
ThUi *ii*2
5|@}}ihi_ ThUit @i |L 4T*U@|L?t uLh |i _it}? Lu LT|4@* 4L?i|@h)
TL*U) 6ht|c @t _tUtti_ ? |i ?|hL_U|L?c t|@}}ih?} }it |i 4L?i|@h)
@|Lh|) tL4i t4@** *iih@}i Lih |i t|i@_) t|@|i 4@h!T ELh hi@* 4@h}?@*
ULt| 5iUL?_c t|@}}ih?} 4i@?t |@| |ihi t @ _t|hM|L? Lu ThUit @?_ |ihi
@hi igiU|t Lu 4L?i|@h) TL*U) L? |i i |i?| Lu hi*@|i ThUi _t|Lh|L?t
e  @??i*t Lu 4L?i|@h) ?i?Ui ? 5 4L_i*t
5 4L_i*t @hi Mi?} i4T*L)i_ |L tL*@|i @?_ i@*@|i |i U@??i*t M) U
4L?i|@h) TL*U) U@? @giU| |i 4@UhLiUL?L4) 6Lh i @4T*ic |i i |i?| Lu hi*
@|i ThUi _t|Lh|L?t t ih) ti?t|i |L |i tiU*@h h@|i Lu ?@|L?( M| tU
_t|Lh|L?t _L ?L| UL?|hM|i 4U |L U)U*U@* @h@M*|) @| 4L_it| ?@|L? h@|it
? |i L|ih @?_c |i t|i@_) t|@|i 4@h!T @hit *||*i | |i tiU*@h h@|i Lu
?@|L? OLiihc 4Li4i?|t ? |i 4@h!T @hi @ TL|i?|@**) 4TLh|@?| tLhUi
Lu U|@|L?t ? i4T*L)4i?| @?_ L|T|c t?Ui |i 4@h!T @U|t *!i @ |@ L?
Lh! igLh|c i ih|?} @ TLihu* tMt|||L? igiU| | ?L UL?|ih@*?} i@*|
igiU| L? *@MLh tTT*) 5?Ui |i ThUi *ii* UL?|?it |L Mi t|U!) ?_ih t|@}}ihi_
ThU?}c |i 4L?i|@h) @|Lh|) U@? i ih| t}?€U@?| *iih@}i Lih i4T*L)4i?|
@?_ L|T| |hL} |t igiU| L? |i 4@h!T |@ @t i _itUhMi_ ? 5iU|L?  
54Xqghu vrph yhuvlrqv ri sulfh0vhwwlqj/ wkhuh fdq eh dq lqlwldo wudqvlwlrqdo lqwhuydo lq zklfk
wkh hhfwv ri odjjhg lqglylgxdo sulfhv duh zrunhg r1 Vhh Jrrgiulhqg dqg Nlqj +4<<:,1

f

LhiLihc @t i i4T@t3i ? 5iU|L? Dc t|@}}ihi_ ThU?} 4@!it ?@|L?
_iTi?_ L? @ _t|hM|i_ *i@_ Lu i TiU|i_ u|hi 4@h!Tt Atc 4L?i|@h) TL*U)
U@? igiU|i*) t|@M*3i ?@|L? M) Uhi_M*) @?ULh?} i TiU|i_ u|hi 4@h!Tt
Ai TLihu* hL*i Lu Uhi_M*|) ? 5 4L_i*t t @? 4TLh|@?| T@h| Lu |i U@ti
uLh ThUi t|@M*|)
ee + 4L_i*t @t €tU@* *@MLh@|Lhit
`|L| 4L?i)c 4TihuiU| UL4Ti||L?c Lh ThUi h}_|itc + 4L_i*t @i Mii?
ti_ @t *@MLh@|Lhit |L t|_) TLt|i @?_ ?Lh4@|i @tTiU|t Lu €tU@* TL*U) 5u|t
? ?UL4i |@ h@|it @i Mii? tL? |L Mi @ TL|i?|@**) TLihu* ?i?Ui L?
iUL?L4U @U||) ? + 4L_i*t OLiihc U@?}it ? ?UL4i |@ h@|it @i ?L|
UL?|hM|i_ |LL 4U |L N5 Mt?itt U)U*it MiU@ti |i) @i Mii? hi*@|i*)
t4@** @?_ Thi_U|@M*i T|4@* €tU@* TL*U) |)TU@**) ?L*it L?*) ih) t4@**
U@?}it ? |@ h@|it L? *@MLh ?UL4i i? |i _h?} @h@M*it @hi }Lih?4i?|
ThU@tit @?_ ThL_U||) Ai hitTL?tit @hi t4@** |? |i M@tU + 4L_i*
E@hc ht|@?Lc @?_ kiLi Ebbe @?_ ii? t4@**ih i? @h@M*i U@T@U|)
|*3@|L? t @__i_ E~ EbbD
T|4@* €tU@* TL*U) @?@*)tt t @i@_ Lu 4L?i|@h) TL*U) @?@*)tt ? |ih4t Lu
|i hU?itt Lu |i + ULhi |@| t i4T*L)i_ 6Lh |t hi@tL?c i ti tL4i Lu
|i *ittL?t uhL4 €tU@* TL*U) @?@*)tt ? Lh _tUttL? Mi*L |L UL?iU|hi @|
hit*|t ** LM|@? ? u|hi @?@*)tt Lu LT|4@* 4L?i|@h) TL*U)

D W?@|L? #)?@4Ut
t i @i i4T@t3i_c |i @ih@}i 4@h!T @?_ |t hiUThLU@*c hi@* 4@h}?@* ULt|c
T*@) @ _@* hL*i ? 5 4L_i*t ? L?i @?_c @h@|L?t ? |i 4@h!T LTih@|i
*!i @ |@ L? Lh! igLh| U 4Lit |hL} |4ic TL|i?|@**) ?i?U?} |i
hi@* iUL?L4U @U||) ? |i L|ih @?_c @h@|L?t ? hi@* 4@h}?@* ULt| @hi
Ui?|h@* |L |i ThU?} _iUtL?t Lu €h4t @?_ |i iL*|L? Lu |i ThUi *ii* W?
|t tiU|L?c i hii hiUi?| |iLhi|U@* @?_ i4ThU@* Lh! |@| Mi@ht L? |i
?@|hi Lu ThUi _)?@4Ut
Ai ?@|hi Lu ?@|L? _)?@4Ut t Ui?|h@* |L Lh U@ti uLh ?i|h@* TL*U)c
4@h!T UL?t|@?U)c @?_ ThUi t|@M*|) Ai !i) t |@| 5 4L_i*t | t|@}}ihi_
ThU?} _L ?L| i M| t|hU|h@* ?@|L? Tihtt|i?UiG @*|L} t|@}}ihi_ ThUi
ti||?} 4@!it |i ThUi *ii* t|U!)c | _Lit ?L| 4@!i ?@|L? t|U!) AihiuLhic


@? ?@|L? tLU! ?ii_ ?L| Mi uL**Li_ M) Tihtt|i?|*) } ?@|L? u €h4t i TiU|
|i 4L?i|@h) @|Lh|) |L Thti @ TL*U) tTTLh|i Lu ThUi t|@M*|) Oi?Uic
u**) Uhi_M*i ?i|h@* TL*U) |@| @?ULht ?@|L? i TiU|@|L?t ?_Uit €h4t |L
hi|h? ^U!*) |L 3ihL ?@|L? @u|ih @ tLU!
Wu @U|@* ThUi ti||?} ihi U@h@U|ih3i_ ?t|i@_ M) t|hU|h@* ?@|L? Tih
tt|i?Uic |i? €h4t L*_ @i @? ?U*?@|L? |L TihTi|@|i @? ?@|L? tLU!
Lih |4ic hi}@h_*itt Lu 4L?i|@h) TL*U) Ai 4L?i|@h) @|Lh|) L*_ €?_ |
ULt|*) |L hi|h? |L ThUi t|@M*|) 44i_@|i*) @u|ih @? ?@|L? tLU! L?i|@h)
TL*U) L*_ @i |L 4Li @}}hi}@|i _i4@?_ Mi*L TL|i?|@* L|T| |L hit|Lhi
ThUi t|@M*|) ^U!*) 5|hU|h@* ?@|L? Tihtt|i?Ui L*_ UL?uhL?| |i 4L?
i|@h) @|Lh|) | @ |h@_iLg ? |i @h@?Uit Lu ?@|L? @?_ L|T| hi*@|i
|L TL|i?|@* tL |@| ?i|h@* TL*U)c 4@h!T UL?t|@?U)c @?_ ThUi t|@M*|) L*_
}i?ih@**) ?L *L?}ih Mi LT|4@*
W?@|L? i M|t t}?€U@?| Tihtt|i?Ui ? N5 4@UhL _@|@ Ai ^it|L?
t i|ih |@| Tihtt|i?Ui t t|hU|h@* ? |i ti?ti _i€?i_ @MLic Lh ?_Ui_
i?|hi*) M) |i Mi@Lh Lu |i Ui?|h@* M@?!c ? |t U@ti |i 6i_ih@* +itihi
h }L@* ? |t tiU|L? t |L tL |@| ?@|L? Tihtt|i?Ui ? N5 |4i tihit
UL*_ @i Mii? }i?ih@|i_ M) @? 5 4L_i* | ?L t|hU|h@* Tihtt|i?Ui W?
T@h|U*@hc i tL |@| N5 ?@|L? UL*_ @i Mii? ThL_Ui_ M) @ Thi*)
uLh@h_*LL!?} ?@|L? i^@|L? 4T*i_ M) @*L t|@}}ihi_ ThU?} ? |i UL?
|i | Lu @? 5 4@UhL4L_i* `i UL?U*_i M) t!i|U?} L|ih @tTiU|t Lu @?
5 4L_i*c ?U*_?} T*@tM*i Ui?|h@* M@?! Mi@Lhc |@| UL*_ @UUL?| uLh |i
LMtihi_ ?@|L? Tihtt|i?Ui
D 6Lh@h_*LL!?} ?@|L? _)?@4Ut
Ai t4T*i uLh4 Lu t|LU@t|U @_t|4i?| t}}it|i_ M) @*L EbH  *i@_t |L @
ih) |h@U|@M*i hiThiti?|@|L? Lu ?@|L? _)?@4Utc U t
Z| ' q.| Z|n n  *L}E| c

ED

ihi Z| ' *L}E|   *L}E|   t |i ?@|L? h@|i @?_ *L}E|  t |i *L} Lu hi@*
4@h}?@* ULt| #ih@|L?t Lu |t ?@|L? i^@|L? uhL4 |i ?_ih*)?} ThUi
ti||?} @?_ ThUi *ii* i^@|L?t ?_U@|i |@|  t @ UL4TLt|i T@h@4i|ih U
_iTi?_t L? |i uhi^i?U) Lu ThUi @_t|4i?| TLt|i_ ? |i @*L 4L_i*c |
*itt uhi^i?| ThUi @_t|4i?| *i@_?} |L @ t4@**ih @*i Lu 22 W? |t i ThittL?c
55Iru ydulrxv ghulydwlrqv/ vhh Urehuwv +4<<8,/ \xq +4<<9,/ Jdol dqg Jhuwohu +4<<<, dqg Nlqj
3

+5334/ dsshqgl{ D,1 Wkhvh ghulydwlrqv lqglfdwh wkdw lqdwlrq lv uhodwhg wr wkh ghyldwlrq ri uhdo

2

@t @MLic q t @ ^@h|ih*) hi@* _tUL?| u@U|Lh |@| t ih) U*Lti |L L?i 5?Ui |i
*L?}h? hi*@|L?tT Mi|ii? ?@|L? @?_ hi@* 4@h}?@* ULt| 4T*i_ M) ED t
E  qZ '  *L}E| c @? i @U| ?@h@?Ui LUUht u q '  @?_ @? @TThL 4@|i
?@h@?Ui L*_t u q t U*Lti |L L?i
Wu |i ?@|L? i^@|L? t tL*i_ uLh@h_c @t ? 5@h}i?| Eb.bc |i? |i
hit*|?} h@|L?@* i TiU|@|L?t tL*|L? t
Z| ' 

"
[

 'f

q  .| *L}E|n 

ED2

At tL*|L? }*}|t @ ThLTih|) Lu |i @*L 4L_i* t|hitti_ M) |ih @?_
**ih EbHDc U t |@| ?@|L? t Thi*) uLh@h_*LL!?}G |ihi t ?L ?
i?Ui Lu T@t| ?@|L? L? Uhhi?| ?@|L? W? |ih4t Lu |i _tUttL? @MLic ED2
i M|t ?L t|hU|h@* ?@|L? Tihtt|i?Ui 6Lh ?t|@?Uic u 4L?i|@h) TL*U) t
i TiU|i_ |L 4@?|@? |i 4@h!T Ehi@* 4@h}?@* ULt| @| @? LT|4@* *ii* UL?tt
|i?| | t|@|U €h4 ThL€| 4@ 43@|L?c |i? €h4t ** 4@?|@? t|@M*i ThUit
Aihi t ?L t|hU|h@* Tihtt|i?Ui MiU@ti ThUi ti||?} €h4t L*_ t|@M*3i Uh
hi?| ?@|L? ? |t U@tic hi}@h_*itt Lu ?@|L? ? |i hiUi?| T@t|
AL 4@!i |t i ThittL? @? LTih@|L?@* L?i uLh i4ThU@* ThTLtitc | t ?iU
itt@h) |L _iU_i L |L 4i@thi hi@* 4@h}?@* ULt|  hiuihi?Ui ThLUi_hi uLh
|i U@ti Lu |i LMM#L}*@t ThL_U|L? u?U|L? +| ' @| &| k ?k| c _tUtti_ uLh
Y+| |L
i @4T*i ? *t EbH.c t |L ti |i ULt|4?43@|L? 4T*U@|L? | ' | Y?
|
_i|ih4?i |@|
|
| '

kE+| *?| 
3

?i _ith@M*i ui@|hi Lu |t @TThL@U t |@| UL?t|hU|i_ hi@* 4@h}?@* ULt| t ?L|
ti?t|i |L L4||i_ ThL_U|i u@U|Lht 6Lh i @4T*ic | L*_ ?L| Mi ?i?Ui_
M) i|ih |ihi @t @h@M*i |*3@|L? Lu U@T|@* B@* @?_ Bih|*ih Ebbb
@?_ 5MLh_L?i EbbH 4@!i ti Lu |t 4i@thi Lu hi@* 4@h}?@* ULt| |L ThL_i
i_i?Ui L? |i i|ih N5 ?@|L? _)?@4Ut @hi UL?tt|i?| | |t M@tU
ThU?} 4L_i*
D2  UhtLh) *LL! @| N5 _@|@ L? ?@|L? @?_ 4@h}?@* ULt|
?i @) Lu t44@h3?} |i TLt|@h N5 _@|@ L? ?@|L? @?_ hi@* 4@h}?@*
ULt| t @ @ iU|Lh @|Lhi}hittL?c U i it|4@|i_ t?} |i _@|@ uhL4 |i
pdujlqdo frvw iurp lwv vwhdg| vwdwh ohyho #=

B@* @?_ Bih|*ih Ebbb t|_) U ihi !?_*) tTT*i_ |L t M) aLh_ B@* Ai
it|4@|it Lu @ tiUL?_ Lh_ih iU|Lh @|Lhi}hittL? Lih bSbbH @hi @t uL**LtG2
Z| ' f. *L}E|    f. *L}E| 2  n SbZ|
*L}E|  ' HH *L}E|    f. *L}E| 2  n 2Z|
3

3

3

3

3

3

n 2Z|
 n 2Z|


3

3

n eZ|
2 n e|
2

ihi |i e| @hi uLhiU@t| ihhLht |@| tL*_ Mi U*Lti |L |i ?Lti
Ai €ht| i^@|L? Lu |i V+ }*}|t |i i**!?L? Tihtt|i?Ui Lu ?@|L?
? N5 |4i tihit U@T|hi_ M) |i t3@M*i ULiUi?|t L? *@}}i_ ?@|L? 6hih
@?_ LLhi EbbD @i @h}i_ |@| uLh@h_*LL!?} ThUiti||?} 4L_i*tc tU @t
|i hiThiti?|@|i 5 tTiU€U@|L? _itUhMi_ @MLic U@??L| i T*@? |t ui@|hi
Lu |i _@|@ Ai) @i @UULh_?}*) _ii*LTi_ 4L_i*t | t|hU|h@* ?@|L?
Tihtt|i?Ui W? *}| Lu tMt|@?|@* hiti@hU L? ThUi i^@|L?tc _@|?} M@U! @|
*i@t| |L ,U!t|i? @?_ 6hL44 EbSHc | t ?L|@M*i |@| hi@* 4@h}?@* ULt| @t @
t4@** it|4@|i_ ULiUi?| ? |t V+ i^@|L?c U @*tL tii4t |L U@** ?|L
^it|L? |i *?!@}i _itUhMi_ @MLi
Ai t|@|t|U@* ThLTih|it Lu N5 _@|@ L? hi@* 4@h}?@* ULt| ELh *L} *@MLh<t
t@hi ihi *itt i** !?L? |L tc @*|L} |ihi t @ *L?} |h@_|L? Lu *LL!?} @|
?L4?@* @}it hi*@|i |L L|T| Tih 4@?Lh E?| *@MLh ULt|t ? hiti@hU L?
ThUi i^@|L?t Ai tiUL?_ V+ i^@|L? _tT*@)t UL?t_ih@M*i Tihtt|i?Ui Lu
hi@* 4@h}?@* ULt|c @?_ |ihi t @*tL tL4i |i?_i?U) uLh T@t| ?@|L? |L h@ti hi@*
4@h}?@* ULt|
D  LhhL?} hit*|t uhL4 hiUi?| i4ThU@* t|_it
B@* @?_ Bih|*ih Ebbb it|4@|i @hLt ihtL?t Lu |i tTiU€U@|L? ED t?} @
B it|4@|L? t|h@|i}) |@| _Lit ?L| hi^hi !?L*i_}i Lu |i uLhU?} ThLUitt
L? hi@* 4@h}?@* ULt|2e ?i Lu |ih M@||ih) Lu hit*|t t M@ti_ L? 4TLt?}
56Zh gr qrw uhsruw vwdqgdug huuruv iru wkh hvwlpdwhg YDU vshflfdwlrq/ vlqfh rxu sxusrvh lq

wklv vhfwlrq lv wr pdnh d wkhruhwlfdo srlqw derxw wkh uhgxfhg irup lqdwlrq uhodwlrqvkls zklfk
zloo suhydlo li +d, uhdo pdujlqdo frvw lv shuvlvwhqw/ dqg +e, lqdwlrq iruhfdvwv uhdo pdujlqdo frvw1
Zh zdqw wr pdnh wklv wkhruhwlfdo srlqw xvlqj dq hpslulfdoo| sodxvleoh _gulylqj surfhvv% vr zh
hvwlpdwh dqg uhsruw wkh srlqw hvwlpdwhv ri wkh YDU frhflhqwv1 Lw zrxog eh vwudljkwiruzdug
wr uhsruw vwdqgdug huuruv rq wkh hvwlpdwhg YDU/ exw uhdghuv zrxog olnho| eh pruh lqwhuhvwhg lq
wkh vwdqgdug huuruv rq rxu lpsolhg uhgxfhg irup1 Wklv zrxog qrw eh vwudljkwiruzdug ehfdxvh
wkh sulfh htxdwlrq _vorsh% lv hvwlpdwhg xvlqj JPP lq d vhshudwh h{huflvh iurp wkh YDU1
57Wkh QQV vwuxfwxudo prgho lvrodwhv d sxuho| h{shfwdwlrqdo huuru whup/ zklfk xqghu udwlrqdo
h{shfwdwlrqv vkrxog eh xqfruuhodwhg zlwk wkh lqdwlrq dqg uhdo pdujlqdo frvw yduldeohv lq +814,1

e

q '  @?_ it|4@|?}  tL |@| |i tTiU€U@|L? tG
Z|n ' Z|   *L}E|  n 1|n

ED 

ihi  t it|4@|i_ |L Mi f D | ?@|L? 4i@thi_ ? TihUi?| Tih ^@h|ih
W? @__|L? |L |t T@h|U*@h i @4T*ic B@* @?_ Bih|*ih Ebbb ThL_i @hLt
iUL?L4i|hU UiU!t L? @ M@||ih) Lu it|4@|i_ tTiU€U@|L?t @?_ _ii*LT @? i4Th
U@* 4L_i* | tL4i TL|i?|@* uLh t|hU|h@* ?@|L? @ |i Mi@Lh Lu R4)LTU
ThUiti||iht `i Lh! | |i it|4@|i_ hit|hU|i_ tTiU€U@|L? ED  uLh |L
hi@tL?t 6ht|c | 4TLtit @ 3ihL *L?}h? igiU| Lu ?@|L? L? |i @ih@}i 4@h!T
Ehi@* 4@h}?@* ULt| U t UL?tt|i?| | |i Mi@Lh Lu |iLhi|U@* 5 tTiU
€U@|L?t @| 4L_it| ?@|L? h@|it 5iUL?_c Lh }L@* t |L UiU! i|ih Thi*)
uLh@h_*LL!?} ThUi ti||?} Mi@Lh | ?L t|hU|h@* ?@|L? Tihtt|i?Uic @t
? ED @?_ ED2c t TL|i?|@**) UL?tt|i?| | N5 _@|@
t @ €ht| t|iT ? _}?} L i** |i Mi?U4@h! 5 ThU?} 4L_i* €|t
|i N5 _@|@c 6}hi  UL4T@hit @U|@* N5 ?@|L? @?_ t4*@|i_ ?@|L?
uhL4 ED2 @?_ ED  t?} |i 4i|L_t Lu B@* @?_ Bih|*ih Ebbb @?_ 5MLh_L?i
EbbH2D Ai hit*|t @hi t|h!?}G @*|L} |i t4*@|i_ ?@|L? _Lit ?L|
U@T|hi iih) }}*i ? |i _@|@c |i ThU?} 4L_i* |L| t|hU|h@* ?@|L?
Tihtt|i?Ui |h@U!t @U|@* N5 ?@|L? hi4@h!@M*) i**
De W?@|L? Tihtt|i?Ui @?_ |i wU@t Uh|^i
`@| i hi@**) @?| |L !?Lc Liihc t i|ih |i ThU?} 4L_i* |L|
t|hU|h@* Tihtt|i?Ui Lu ?@|L? t UL?tt|i?| | |i hi_Ui_ uLh4 ?@|L?
Tihtt|i?Uic @t ?_U@|i_ M) |i ULiUi?|t ? |i ?@|L? i^@|L? uhL4 Lh
V+ AL @?tih |t ^it|L? i Mi}? M) uL**L?} |i ThLUi_hi M) U
BB5 @U|@**) UL?t|hU| |ih t4*@|i_ ?@|L? tihit `i tMt|||i uLhiU@t|t
Lu u|hi hi@* 4@h}?@* ULt| uhL4 Lh it|4@|i_ iU|Lh @|Lhi}hittL? ?|L ED2c
| q hit|hU|i_ |L ?|) @?_  i^@* |L f D @t it|4@|i_ ? ED 2S At 4i|L_

58Wkh vlpxodwlrq phwkrg zdv ruljlqdoo| ghyhorshg e| Fdpsehoo dqg Vkloohu +4<;:, iru wkh

dqdo|vlv ri qdqfldo pdunhwv1
59Zh duh vroylqj wkh lqdwlrq glhuhqfh htxdwlrq iruzdug zlwk  @ 4 zklfk pljkw pdnh vrph
uhdghuv qhuyrxv1 Wkhuh duh wkuhh frpphqwv wr pdnh derxw wklv sudfwlfh1 Iluvw/ zlwk 3 ?  ? 4/
wkh vroxwlrq sudfwlfh lqyroyhv wkh frqyhqwlrqdo uxolqj rxw ri xqvwdeoh g|qdplfv/ dv lq Vdujhqw
+4<:<,1 Vhfrqg/ zh wklqn ri rxu vroxwlrq dv ehlqj wkh olplw ri vroxwlrqv dv  lv udlvhg wrzdug
rqh1 Wklug/ vlqfh wkh hljhqydoxhv ri wkh hvwlpdwhg YDU v|vwhp duh ohvv wkdq rqh lq devroxwh
ydoxh/ rxu vroxwlrq lv d vwdwlrqdu| lqdwlrq surfhvv hyhq li  @ 41

D

U.S. actual and simulated inflation, 1961:2 through 1998:1

14

Actual
Simulated
12

Percent per annum

10

8

6

4

2

0
1960

1965

1970

1975

1980

1985

1990

1995

2000

}i?ih@|it t4*@|i_ ?@|L? U i U@** Ze|
Ze| ' l *L}E|  n l2 *L}E|   n l Z| n le Z|
3

3



ihi |i l ULiUi?|t _iTi?_ L? q ' c  ' f D @?_ L? |i it|4@|i_ ULi
Ui?|t uhL4 |i hi@* 4@h}?@* ULt| i^@|L? ? Lh V+ At _Lit ?L| *LL! ^|i
*!i Lh V+ ?@|L? i^@|L? uLh |L hi@tL?t 6ht|c |i *iu|@?_ t_i @h@M*i
t ?L| @U|@* ?@|L?c M| t4*@|i_ ?@|L? 5iUL?_c Uhhi?| hi@* 4@h}?@* ULt|
@?_ Uhhi?| ?@|L? i?|ih L? |i h}| @?_ t_i OLiihc i U@? ti Lh V+
|L i*4?@|i Uhhi?| hi@* 4@h}?@* ULt| @?_ ?@|L?
Z| ' / *L}E|   n /2 *L}E| 2  n / Z|
3

3

3



n /e Z|

3

2

n D|

EDe

ihi |i D| hit_@* t @ UL4TLt|i ihhLh |ih42. W? |t i ThittL?c Uhhi?| ?@
|L? t @ _t|hM|i_ *@} Lu T@t| ?@|L? @?_ hi@* 4@h}?@* ULt| L?*) MiU@ti |iti
@h@M*it i*T |L uLhiU@t| hi@* 4@h}?@* ULt| ? ED2 `i? i tL*i ?4ihU@**)
uLh |i ULiUi?|t ? EDe i LM|@? @ UL?|ihT@h| |L |i ?@|L? i^@|L? ? Lh
V+ ? U |ihi @hi 4TLh|@?| ?@|L? *@}t ii? |L} |ihi t ?L t|hU|h@*
?@|L? Tihtt|i?Ui M) UL?t|hU|L?
Z| ' S *L}E|    fD *L}E| 2  n DZ|
3

3

3



n eZ|

3

2

n D| 

At t ?L| i @U|*) |i V+ ?@|L? i^@|L? it|4@|i_ @MLic U 4@) Mi
@? ?_U@|L? Lu 4ttTiU€U@|L? Lu i|ih |i t|hU|h@* 4L_i* Lu ?@|L? Lh
Lu |i uLhiU@t|?} 4L_i* uLh hi@* 4@h}?@* ULt| Lh ML| |c ?iih|i*ittc Lh
UL4T|i_ _t|hM|i_ *@} _Lit t@hi @? 4TLh|@?| ThLTih|) | |i it|4@|i_
V+ i^@|L?G |ihi @hi TLt|i ULiUi?|t L? *@}}i_ ?@|L? U UL*_ i@t*)
Mi 4t?|ihThi|i_ @t t}}it|?} |i Thiti?Ui Lu ?_ih*)?} t|hU|h@* ?@|L?
Tihtt|i?Ui
h TL?| tc Lu ULhtic @? @TT*U@|L? Lu @ *?i Lu @h}4i?| 4@_i u@4Lt M)
wU@t ? t b.S Uh|^i Lu 4@UhLiUL?L4i|hU 4L_i*?} At Uh|^i MhL}|
uLh| |i h@|L?@* i TiU|@|L?t hiL*|L? ? 4@UhLiUL?L4Ut @?_ |t *i_ |L
|i 4L_i*?} Lu uLh@h_*LL!?} ThUiti||?} h _i4L?t|h@|L? t ii? 4Lhi
_hiU|*) @? @TT*U@|L? Lu |i U*@ttU tLh| ?L|i M) 5@h}i?| Eb.c L @h?i_
@ML| |i _@?}iht Lu 4t?|ihThi|?} _t|hM|i_ *@}t ? |i @?@*)tt Lu |i **Tt
Uhi
5:Wkh glvwxuedqfh whup kdv wzr frpsrqhqwv1 Iluvw/ dfwxdo lqdwlrq w glhuv iurp vlpxodwhg
lqdwlrq 
ew e| dq dssur{lpdwlrq huuru/ zklfk zh zloo fdoo w 1 Vhfrqg/ wkh surfhvv ri uhsodflqj
4 orj+#w , . 6 w e| wkh frqglwlrqdo h{shfwdwlrqv edvhg rq wkh YDU lqwurgxfhv dqrwkhu huuru/
zklfk lv 4 h#w . 5 hw . 6 w 1

S

DD L?i|@h) TL*U) @?_ ?@|L? Tihtt|i?Ui
`i tLi_ @MLi |@| u *@}}i_ hi@* 4@h}?@* ULt| @?_ *@}}i_ ?@|L? i*T |L
uLhiU@t| hi@* 4@h}?@* ULt| @t ? Lh it|4@|i_ V+c @?_ ?@|L? t }i?ih@|i_
@UULh_?} |L ED2 | t|hU|h@* ULiUi?|t uhL4 ED c |i? ?@|L? t uLhiU@t|
hL}*) @t ? |i V+ Atc i @h}i_ |@| |i ?@|L? Tihtt|i?Ui ? N5
|4i tihit @TTi@ht |L Mi UL?tt|i?| | @ 5 4L_i* ? U Tihtt|i?Ui t ?L|
t|hU|h@* AL UL4T*i|i Lh ?L?t|hU|h@* ?|ihThi|@|L? Lu LMtihi_ ?@|L?
Tihtt|i?Ui i 4t| t}}it| L |i ?|ih@U|L? Lu Ui?|h@* M@?! Mi@Lh |
|i Th@|i iUL?L4) UL*_ }i?ih@|i @ uLhiU@t|?} i^@|L? uLh hi@* 4@h}?@* ULt|
|@| hiti4M*it |i L?i uhL4 Lh it|4@|i_ V+ Ai !i) t |L i T*@? ) *@}}i_
?@|L? tL*_ i*T uLhiU@t| hi@* 4@h}?@* ULt|
`i |?! Lu @? iUL?L4) ihi |ihi @hi @hLt ?_ih*)?} tLU!t ?U*_?}
tu|t ? ThL_U||)c }Lih?4i?| ThU@titc @?_ tL L? N?_ih ?i|h@* 4L?i|@h)
TL*U)c |i 4@h!T L*_ Mi t|@M*3i_ AL |i i |i?| |@| U|@|L?t ? |i
4@h!T ihi ?uLhiU@t|@M*ic ULiUi?|t ? |i V+ i^@|L? uLh hi@* 4@h}?@*
ULt| L*_ Mi 3ihL hL_U||) tLU!t L*_ @i 4TLh|@?| igiU|t L? L|T|c
M| ?L igiU| L? hi@* 4@h}?@* ULt| MiU@ti |i) L*_ Mh?} @ML| U@?}it ?
ML| @}it @?_ L|T| Tih 4@?Lh | |i N5 |4i tihit @i ?L| Mii?
}i?ih@|i_ M) @ Ui?|h@* M@?! uL**L?} ?i|h@* TL*U)G ?@|L? @t Mii? u@h uhL4
UL?t|@?| @?_ hi@* 4@h}?@* ULt| i M|t |i tMt|@?|@* _)?@4Ut _itUhMi_ M)
|i V+ i^@|L?
`) 4}| hi@* 4@h}?@* ULt| @i 4Li_ @hL?_ ? |t 4@??ihq Ai Mi
@Lh Lu hi@* 4@h}?@* ULt| t }Lih?i_ M) |i ?|ih@U|L? Lu |i Ui?|h@* M@?! @?_
|i Th@|i iUL?L4) 5TTLtic uLh UL?Uhi|i?ittc |@| |i Ui?|h@* M@?! @t Mii?
uL**L?} @ ihtL? Lu |i A@)*Lh h*ic ? U | hitTL?_t |L ?@|L? @?_ hi@* @U
||) W? |t ti||?}c ?i@h*) iih) tLU! Uih|@?*) ThL_U||) @?_ }Lih?4i?|
ThU@ti tLU!tc u ?L| 4L?i) _i4@?_ tLU!t ** U@ti _iT@h|hit uhL4 |i
TL|i?|@* L|T| U L*_ Thi@* ?_ih ?i|h@* 4L?i|@h) TL*U) W| t U*i@h
|@| |ihi U@? Mi Tihtt|i?| _iT@h|hit Lu L|T| uhL4 TL|i?|@* E@?_ @ttLU@|i_
_iT@h|hit Lu hi@* 4@h}?@* ULt| uhL4 |t @ih@}i *ii*
6Lh i @4T*ic u |ihi t @ Tihtt|i?| hti ? ThL_U||)c |i? |i iUL?L4)
** ui@|hi @? ?Uhi@ti ? L|T|c ?it|4i?|c UL?t4T|L? @?_ Lh! igLh| Ai
hi@* ?|ihit| h@|i ** hti @t i**c @t |i iUL?L4) _tT*@)t i TiU|i_ }hL| ?
UL?t4T|L? @?_ L|T| | u |i TL*U) h*i _Lit ?L| U@** uLh |i ?|ihit| h@|i
|L ?Uhi@ti i?L}c |i? |ihi ** Mi @? @__|L?@* t|4*tG L|T| ** hti ii?
uh|ihc | @? @ttLU@|i_ hti ? hi@* 4@h}?@* ULt| @?_ @? @UUL4T@?)?} hti
.

? ?@|L? OL |i _)?@4Ut Lh! L| _iTi?_ L? |i _i|@*t Lu |i 4L_i* @?_
|i TL*U) h*i OLiihc hi@* 4@h}?@* ULt| 4@) L?*) t*L*) 4Li M@U! |L@h_
|t *L?} h? *ii* @?_ T@t| ?@|L? 4@) i*T uLhiU@t| |t 4Li4i?|c MiU@ti
T@t| ThUit @hi T@h| Lu |i t|@|i iU|Lh ? |i u** 5 4L_i* 5?Ui hi@* 4@h}?@*
ULt| 4@) _iTi?_ L? 4@?) tLU!tc U @i _gihi?| 4T*U@|L?t uLh ?@|L?
Tih@Tt MiU@ti Lu |ih _h@|L? Lh |ih igiU| L? |i ?_ih*)?} hi@* ?|ihit|
h@|i *@}}i_ hi@* 4@h}?@* ULt| ** *!i*) ?L| Mi @ tUi?| Thi_U|Lh uLh u|hi
hi@* 4@h}?@* ULt|
W| t 4TLh|@?| |L ?L|i |@| |i ?L?t|hU|h@* 5 i Lu ?@|L? Thi_U|t
|@| |t Tihtt|i?Ui ? N5 _@|@ L*_ |i?_ |L _t@TTi@h u |i 6i_ih@* +itihi
uL**Li_ @ ?i|h@* 4L?i|@h) TL*U) |@| 4@?|@?i_ i TiU|i_ 4@h!T UL?t|@?U)
@?_ ThUi t|@M*|) UULh_?} |L |i ?L?t|hU|h@* i Lu ?@|L?c u 4L?i|@h)
TL*U) ih@ti_ |i tih@* ULhhi*@|L? ? hi@* 4@h}?@* ULt|c |i? *@}}i_ ?@|L?
L*_ ?L| i*T Thi_U| hi@* 4@h}?@* ULt|c @?_ tL L*_ ?L| @TTi@h ? |i ?@|L?
i^@|L? Lu |i V+ A@| Thi_U|L? }i|t tTTLh| uhL4 i_i?Ui Thiti?|i_ M)
L}*i) @?_ 5@h}i?| E2fff @?_ A@)*Lh E2fff |@| ?@|L? @t *itt Tihtt|i?| ?
|i bDftc bSftc @?_ @}@? ? |i bbft |@? ? |i ?|ihi??} )i@ht

S `) #iT@h| 6hL4 hUi 5|@M*|) ? @? 5 L_i*q
W? |t tiU|L? i UL?t_ih tL4i hi@tL?t uLh _iT@h|?} uhL4 TihuiU| ThUi t|@M*|)
|? |i u** 5 4L_i* 5?Ui LT|4@* 4L?i|@h) TL*U) @t ?L| )i| Mii?
t|_i_ ? |iti hUih 5 4L_i*tc i ti |i *?!t Mi|ii? €tU@* @?_ 4L?i|@h)
TL*U) |@| i _ii*LTi_ ? 5iU|L?t 2 @?_ |L t}}it| @| ** Mi uL?_ i?
| t `i Mi}? | hit*|t uhL4 4Lhi i*@MLh@|i 5 4L_i*t |@| @i Mii?
t|_i_
S *|TihL_ ThUiti||?}G @ hiuihi?Ui hit*|
t i t|hitti_ ? tiU|L?t e @?_ Dc L?i 4T*U@|L? Lu 4*|TihL_ ThUiti||?} t
|@| ?@|L? _)?@4Ut MiUL4i uLh@h_*LL!?} ?L|ih 4T*U@|L?c U i
t|hitti_ ? Lh i@h*ih T@Tihc t |@| |i 4L?i|@h) @|Lh|) @t tL4i *iih@}i Lih
|i @ih@}i 4@h!T @ |t ULUi Lu |i t|i@_) t|@|i ?@|L? h@|i `i hiTLh|i_
|@| |i 4L?i|@h) @|Lh|) U@? *Lih |i t|i@_) t|@|i 4@h!T t*}|*) @hL?_
3ihL ?@|L?c M| |@| @| }ih h@|it Lu ?@|L? |ihi t @U|@**) @ TLt|i
hi*@|L?tT Mi|ii? ?@|L? @?_ |i @ih@}i 4@h!T t?Ui €h4t tii! |L @L_
H

@?} |ih hi@* ThUit ihL_i_2H Ai t|i@_) t|@|i ?@|L? h@|i ? @? 5 4L_i*
@*tL ?i?Uit |i i |i?| Lu hi*@|i ThUi _t|Lh|L?t Aihi @hi ?L hi*@|i ThUi
_t|Lh|L?t @| 3ihLc M| TLt|i Lh ?i}@|i h@|it Lu ?@|L? Mh?} @ML| |iti
_t|Lh|L?tc U hi_Ui |i @4L?| Lu UL?t4T|L? |@| U@? Mi LM|@?i_ uhL4
*@MLh ?T| 5?Ui 4@h}?@* hi*@|i ThUi _t|Lh|L?t @hi 3ihL @| ThUi t|@M*|)
@?_ @ }ih ?@|L? h@|i t*}|*) hi_Uit |i @ih@}i 4@h!Tc i UL?iU|hi_c
?ULhhiU|*) @t | |h?t L|c |@| 5 4L_i*t L*_ h@|L?@*3i @ U@ti uLh @ t*}|*)
TLt|i ?@|L? h@|i
`Lh!?} ? @ 4L_i* | ki)?it@? t|U!) ThUi @?_ 4L?LTL*t|U UL4Ti||L?
uhU|L?tc M| |L| @?) _t|Lh|L?t @ttLU@|i_ | 4L?i|3i_ i U@?}ic k?}
@?_ `L*4@? Ebbb tLi_ |@| |i LT|4@* ?@|L? h@|i t @t)4T|L|U@**) 3ihL
?_ih UL44|4i?|2b At hit*| LUUht _itT|i |i u@U| |@| |ih 4L_i* 4T*it
tL4i t*}| *iih@}i uLh |i 4L?i|@h) @|Lh|) Lih |i t|i@_) t|@|i 4@h!T @t
_itUhMi_ @MLi `*i | @t |t *iih@}ic |i 4L?i|@h) @|Lh|) ULLtit ?L| |L
i4T*L) |c uLh hi@tL?t |@| @hi t4*@h |L ) @ T*@??ih ULLtit ?L| |L 4@ 43i
t|i@_)t|@|i UL?t4T|L? ? |i ?iLU*@ttU@* }hL| 4L_i* ~ihL ?@|L? t @
R4L_€i_ }L*_i? h*i uLh 4L?i|@h) TL*U)
k?} @?_ `L*4@? @*tL uL?_ |@| |i ThUi *ii* tL*_ Mi u**) t|@M*3i_
? |i u@Ui Lu |4i@h)?} ThL_U||) tLU!tc _itT|i |i u@U| |@| |ihi @hi
tMt|@?|@* _t|Lh|L?t uhL4 4TihuiU| UL4Ti||L? Thiti?| ? |ih 4L_i* t ?
|i t4T*i 4L_i* Lu 5iU|L? c |t TL*U) t UL?tt|i?| | UL4T*i|i t4LL|?}
Lu hi@* 4@h}?@* ULt| @?_ |i @ih@}i 4@h!T *tL @t ? |i t4T*i 4L_i* Lu
5iU|L? c LT|4@* 4L?i|@h) TL*U) hi^hit |i 4L?i|@h) @|Lh|) |L @UUL44L
_@|i ThL_U||) tLU!tc tTT*)?} 4L?i) i? L|T| i T@?_t @?_ UL?|h@U|?}
4L?i) i? L|T| u@**t
5;Jrrgiulhqg dqg Nlqj +4<<:,/ ss1 596081
5<Nlqj dqg Zropdq +4<<<, frqvwuxfw d edvlf QQV prgho zlwk vwdjjhuhg sulfh0vhwwlqj/ zklfk

lv h{leoh hqrxjk wr frqwdlq wkh glvwulexwhg odj vwuxfwxuhv ri Wd|oru +4<;3,/ Fdoyr +4<;6, dqg
wkrvh xvhg lq hpslulfdo zrun rq sulfh g|qdplfv +iru h{dpsoh/ Wd|oru +5333,,1 Nlqj dqg Zropdq
xwlol}h d g|qdplf yhuvlrq ri wkh dssurdfk wr rswlpdo srolf| ghvljq dv lq Vhfwlrq 6 exw zlwkrxw
lqyhvwphqw dqg fdslwdo dv lq Vhfwlrq 61 Pruh vshflfdoo|/ Nlqj dqg Zropdq frqvwuxfw d prgho
zlwk wkh vwrfkdvwlf dgmxvwphqw vwuxfwxuh gxh wr Ohylq +4<;<,1 Wkh pdlq erg| ri wkh sdshu
frqfhuqv Wd|oru sulflqj1 Exw wkh frqfoxglqj vhfwlrq pdnhv fohdu wkdw wkh fhqwudo uhvxow krogv
iru wkh ulfk fodvv ri dgmxvwphqw sdwwhuqv wkdw fdq dulvh zlwklq Ohylq*v dqdo|vlv1

b

S2  |i?tL?G |i 6hi_4@? h*i ihtt ThUi t|@M*|)
Ai +@4ti) @TThL@U |L TL*U) _it}? @t Mii? i4T*L)i_ ? TihuiU|*) UL4Ti||i
iUL?L4it | i M*i ThUit |L h@|L?@*3i 6hi_4@?<t h*i uLh |i LT|44
^@?||) Lu 4L?i)c ?@4i*) _i@|?} @| |i hi@* h@|i Lu ?|ihit| |L 4@!i |i ?L4?@*
?|ihit| h@|i 3ihL tL @t |L 4?43i @hLt _t|Lh|L?t |@| @hti i? |ihi t
ULt|*) 4L?i|@h) i U@?}i Ai 4L_ih? *|ih@|hi L? |t |LTU t44@h3i_ M)
@h @?_ kiLi Ebbb hi@Uit 6hi_4@?<t UL?U*tL? |? hU + 4L_i*tc
tL |@| | @TT*it |t *L}U |L U|@|L?t @t i** @t t|i@_) t|@|it
Whi*@?_ EbbS @?_ _@Lc Lhhi@c @?_ Ai*it E2fff i @4?i LT|4@* 4L?i
|@h) TL*U) ? t|U!) ThUi 4L_i*t *!i |i L?i i t|_i_ ? 5iU|L? c M| |i)
?ULhTLh@|i @*|ih?@|i 4L_i*t Lu 4L?i|3i_ i U@?}i Ai) |t |@!i @ t|@?_ L?
|i uhU|L?t U }i hti |L 4L?i) _i4@?_ @?_ @**L uLh |i R|h@?}*it ?_ih
|i _i4@?_ uLh 4L?i) |@| 6hi_4@?<t 3ihL ?|ihit| h@|i TL*U) t _it}?i_ |L
i*4?@|i Aiti t|_it €?_ |@| _i@|L? @UULh_?} |L |i 6hi_4@? h*i t
LT|4@*c _itT|i |i ?|hL_U|L? Lu 4TihuiU| UL4Ti||L? @?_ ThUi t|U!?itt
At UL?U*tL? t @ ?@|h@* L?iG |i 4L_i* Lu L?i TihL_ ThUi t|U!?itt |@|
|i) UL?t_ih ?L*it ?L *iih@}i uLh |i 4L?i|@h) @|Lh|) Lih |i @ih@}i
4@h!T t|i44?} uhL4 |t ULUi Lu |i @ih@}i ?@|L? h@|i @?_ |ihi @hi ?L
hi*@|i ThUi _t|Lh|L?t _i |L t|i@_) ?@|L? W? |ih4t Lu hitTL?ti |L ThL
_U||) tLU!tc Whi*@?_ EbbS @h}it |@| LT|4@* 4L?i|@h) TL*U) tL*_ Mi
@UUL44L_@|ic M| i _Lit ?L| t|hitt |i 4T*U@|L? |@| |i ThUi *ii* tL*_
Mi i*_ UL?t|@?| ? |i u@Ui Lu tU tLU!t
k@?c k?} @?_ `L*4@? E2fff t|_) |t |LTU ? t|@}}ihi_ ThUiti||?}
4L_i* tL |@| |ihi t @ }i??i |i?tL? Ai) 4L_i* 4L?i) _i4@?_ @t @ht?}
uhL4 @? i?hL?4i?| | ULt|*) ti Lu Uhi_| ? |i i U@?}i ThLUittc M*_?}
L? i@h*ih 4L_i*t Lu hitUL|| EbH.c #L|ti) @?_ Whi*@?_ EbbS @?_ w@U!ih @?_
5Uhiu| EbbS  }ih @ih@}i ?@|L? h@|i ?_Uit ?__@*t |L tMt|||i
L| Lu 4L?i) ?|L tLU@**) ULt|*) Uhi_| tic U @t tMt|||L? @?_ i@*|
igiU|t L? LtiL*_t Wu |i kk` iUL?L4) ihi TihuiU|*) UL4Ti||i @?_
}LL_t ThUit ihi TihuiU|*) i M*ic |i? |i kk` 4L_i* L*_ U@** uLh _i@|L?
L? @ih@}i @?_ 3ihL ?L4?@* ?|ihit| |c t?Ui kk` @tt4i |@| |ihi t
4TihuiU| UL4Ti||L? @?_ t|U!) ThUitc |ihi t @ |i?tL? kk` t|_i_ |ih
iUL?L4) t?} |i +@4ti) @TThL@Uc U@*Mh@|?} |ih 4L_i* |L 4@|U @tTiU|t
Lu N5 4L?i) L*_?}t Ai) t|hitt |L €?_?}t 6ht|c |i LT|4@* @ih@}i
?@|L? h@|i t ?i}@|ic tL4i _i@|L? t LT|4@* |L }i| U*Ltih |L |i 6hi_4@?
ef

LT|44 ii? @| |i i Ti?ti Lu tL4i hi*@|i ThUi _t|Lh|L? f Ai t3i Lu |i
LT|4@* _i@|L? _iTi?_t L? |i i4ThU@* 4i@thi Lu 4L?i) |@| |i) i4T*L)G
| t ?i}*}M*i u Uhhi?U) t ti_ @?_ Tih@Tt @t *@h}i @t @ TihUi?|@}i TL?| u
 t ti_ 
Ai hit*|t uLh  ?L*i }hi@|ih _i@|L?c i |?!c uLh |L hi@tL?t 6ht|c
|i h@|L Lu hi@* 4L?i) M@*@?Uit |L UL?t4T|L? t 4U }ih uLh  |@? | t
| Uhhi?U) At 4T*it |@| |ihi t @ *@h}ih Ri_}i Lu 4L?i|@h) ?iUi?U)
@ttLU@|i_ | 4L?i|3i_ i U@?}i |@| |i 4L?i|@h) @|Lh|) L*_ *!i |L
i*4?@|i M) hi_U?} |i ?L4?@* ?|ihit| h@|i 5iUL?_c |i _i4@?_ uLh  t
4Lhi ?|ihit|i*@t|U |@? |i _i4@?_ uLh Uhhi?U)c U 4i@?t |@| @ *Lih
?L4?@* ?|ihit| h@|i hit*|t ? @ }hi@|ih hitLhUi t@?} ? |ih4t Lu Uhi_| ULt|t
vi|c ?Uhi@t?}*) |i _i4@?_ _iTLt| UL4TL?i?| Lu  t ?|ihit|Mi@h?}c tL
|@| | t *itt igiU|i_ M) |i ?L4?@* ?|ihit| h@|i `|? |i kk` 4L_i*
| @ t?}*i 4L?i|@h) @}}hi}@|ic T@)4i?| Lu T@h|@* ?|ihit| L? 4L?i) L*_
hi_Ui |i igiU| Lu 4L?i|@h) TL*U) L? |i i_}i Lu 4L?i|@h) iUi?U) @?_ L?
Uhi_| ULt|tc *i@_?} |L @ 4L_i* |@| 4Lhi U*Lti*) hiti4M*i_ |i k?} @?_ `L*4@?
Ebbb 4L_i*c ihi 3ihL ?@|L? t LT|4@* 5Lc i UL?U*_i |@| |i LT|4@*
h@|i Lu _i@|L? t ?Uih|@? @?_ 4@) i** _iTi?_ L? ?t|||L?@* u@U|Lht |@|
@giU| |i tMt|||@M*|) Lu Uhhi?U) @?_ _iTLt|t `i hi@tL? |@| |i hit*|t
uLh Uhhi?U)c h@|ih |@? c 4@) ?Uhi@t?}*) Mi |i 4Lhi hi*i@?| L?it
5iUL?_c kk` €?_ |@| |i LT|4@* ThUi *ii* T@| U@?}it L?*) ? @ 4?tU*i
@) i? |ihi @hi tLU!t |L ThL_U||)c |i ULt|*?itt Lu Uhi_|c Lh }Lih?4i?|
ThU@tit 5?Ui i TiU|i_ ?@|L? t itti?|@**) UL?t|@?| @?_ t?Ui |iti _t
|hM@?Uit @giU| |i hi@* ?|ihit| h@|ic |i LT|4@* TL*U) _Lit ?L| t|@M*3i |i
63Ghdwlrq lv ehqhfldo ehfdxvh lw vdyhv uhvrxufhv zdvwhg iurp wkh vrfldo srlqw ri ylhz rq

wkh xvh ri fuhglw/ dqg ehfdxvh lw uhgxfhv wkh glvwruwlrq rq prqhwl}hg h{fkdqjh gxh wr srvlwlyh
qrplqdo lqwhuhvw1 Krzhyhu/ ghdwlrq lv frvwo| ehfdxvh lw glvwruwv uhodwlyh sulfhv lq wklv vwdjjhuhg
sulflqj hqylurqpqhw1
64NNZ dovr frqfoxgh/ exw gr qrw vwuhvv/ wkdw lq vxfk dq hqylurqphqw/ wkhuh lv wkh srvvlelolw|
wkdw wkh Iulhgpdq uxoh fdq vwloo eh rswlpdo/ hyhq li wkh hfrqrp| kdv d frvwo| fuhglw vshflfdwlrq
zklfk lpsolhv wkdw wkhuh lv d qhjoljleoh uhvrxufh frvw +fuhglw frvw, ri kdylqj d voljkwo| kljkhu
lqdwlrq udwh wkdq wkdw suhydlolqj dw wkh Iulhgpdq uxoh1 Wklv lv d _vhfrqg ehvw% uhvxow/ zklfk
dulvhv ehfdxvh wkhuh lv lpshuihfw frpshwlwlrq1 Wkh Iulhgpdq uxoh plqlpl}hv wkh zhgjh ri prq0
hwdu| lqhflhqf|/ zklfk dfwv olnh d wd{ rq frqvxpswlrq1 Vlqfh wkhuh lv lpshuihfw frpshwlwlrq/
lw fdq eh xqghvludeoh wr udlvh wklv zhgjh ehfdxvh wkh hfrqrp| lv glvwruwhg e| wkh pdunxs wd{
dw wkh Iulhgpdq uxoh1 Exw lw lv qrw dq rxwfrph zkhq wkh prgho lv fdoleudwhg wr d _uhdolvwlf%
prqh| ghpdqg/ dowkrxjk lw pljkw eh li rqh exlow lq wkh kljkhu hvwlpdwhv ri wkh frvwv ri lqdwlrq
wkdw kdyh ehhq vxjjhvwhg e| vrph uhfhqw vwxglhv1

e

?L4?@* ?|ihit| h@|i W?t|i@_c LT|4@* TL*U) 4@!it ?L4?@* ?|ihit| |h@U! |i
i^*Mh4 hi@* ?|ihit| h@|i |@| L*_ Thi@* u ThUit ihi TihuiU|*) i M*i 2
`*i |i kk` uh@4iLh! t 4U hUih |@? |i L?i i t|_i_ ? 5iU|L?
c | ?iih|i*itt _i*iht t4*@h UL?U*tL?t @ML| |i U@ti uLh ThUi t|@M*|)
OLiihc *!i |i 4L_i* i ti_ |ihic |i kk` uh@4iLh! @Mt|h@U|t uhL4 U@T
|@*G |ihi t ?L ?it|4i?|c U@T|@* t|LU!c Lh @h)?} |*3@|L?
S  V@h)?} i*@t|U|itG _iT@h|hit uhL4 UL?t|@?| |@ it @?_ 4@h!Tt
h iUL?L4it ? 5iU|L?t 2 @?_ ihi Rh}}i_ @*L?} *?it t}}it|i_ M) +@4
ti)<t Lh}?@* @?@*)tt |L }i?ih@|i |i hit*| |@| i T*U| ?UL4i |@ h@|it @?_
4@h!Tt tL*_ ?L| @h) @UhLtt t|@|it Lu ?@|hi W? u@U|c +@4ti)<t Lh}?@* @?@*
)tt }*}|i_ iUL?L4U hi@tL?t uLh _iT@h|hit uhL4 ?uLh4 |@ @|L? @UhLtt
ThL_U|t Ai UL?t|@?U) Lu |i |@ h@|i L? *@MLh ?UL4i @UhLtt t|@|it Lu ?@|hi
tc itti?|@**)c @ ihtL? Lu ?uLh4 |@ @|L? Oihic i @__hitt |i TLttM*|) Lu
LT|4@* _iT@h|hit uhL4 |@ h@|i t4LL|?} _i |L @h@M*i i*@t|U|it
AL Mi}?c hiU@** |i LtiL*_<t €ht| Lh_ih UL?_|L? uLh Lh! uhL4 |i LT
|4@* €tU@* TL*U) @?@*)tt ? 5iU|L? 2G  E?Er ' bE  ErEr^Er Nt
?} |t UL?_|L?c |i i*@t|U|) #E?Er Lu |i tTT*) Lu Lh! igLh| ? t|@|i r
| hitTiU| |L |i hi@* @}ic |i |@ h@|ic @?_ |i t|@|i ThUi U@? Mi h|
|i? #E?Er '  E?Er*d?Er E?Ero W| t i@t) |L ihu) |@| Lh @tt4T|L?
 E?Er ' wE?Er*# uhL4 5iU|L?t 2 @?_ 4@!it |i *@MLh tTT*) i*@t|U|) UL?
t|@?| @UhLtt t|@|it Lu ?@|hi Aihi @hi 4@?) tTiU€U@|L?t Lu Thiuihi?Uit |@|
_L ?L| 4T*) UL?t|@?| i*@t|U|) ?i tTiU€U@|L? _i*) ti_ ? ^@?||@|i
4@UhL4L_i*t 4@!it |*|) *L}*?i@h ? UL?t4T|L? @?_ *ithi








ESc ? ' *L}ES n w *L}E  ?
At tTiU€U@|L? 4@!it E? ' w *L}E  ?c tL |@|  E? ' w*E  ?c @?_ |i
i*@t|U|) Lu *@MLh tTT*) t
?
#E? '
c
?
U t ?ihti*) hi*@|i_ |L Lh! igLh|c ? 6L**L?} +@4ti) Th?UT*itc uLh
i @4T*ic ? |i UL?|i | Lu |i t4@** LTi? iUL?L4) @?@*)3i_ ? 5iU|L? 2c }LL_t
65Wkhuh duh vrph sx}}ohv derxw wkh ehkdylru ri uhdo dfwlylw| lq uhvsrqvh wr jryhuqphqw sxu0


fkdvhv1 Rswlpdo rxwsxw grhv ghsduw voljkwo| dqg whpsrudulo| iurp zkdw zrxog rffxu li wkhuh
zdv prqrsrolvwlf frpshwlwlrq exw sulfh h{lelolw|1 Zh glvfxvv wklv pdwwhu ixuwkhu lq Vhfwlrq 9181

e2

?i*@t|U@**) tTT*i_ tL*_ Mi |@ i_ 4Lhi i@*) Oi?Uic ? |t U@ti |i
LT|4@* ?UL4i |@ h@|i tL*_ hti i? i4T*L)4i?| t } @?_ u@** i? | t
*L
Bi? |i t4*@h|) ? |i Th?UT*it |@| }Lih? LT|4@* €tU@* @?_ 4L?i|@h)
TL*U)c | t U*i@h |@| |i LT|4@* 4@h!T Ehi@* 4@h}?@* ULt| ** @*tL 4Li
@hL?_ i? |i i*@t|U|) Lu *@MLh tTT*) t @h@M*i
Se | i? @hi i*@t|U|) @h@|L?t *!i*) |L 4@||ihq
AL UL?t_ih@|L?t ** }Lih? i|ih @h@M*i i*@t|U|it @hi *!i*) |L 4@||ih
Ai €ht| t i|ih tLU!t @giU| |i tTT*) Lu |i }LL_ |@| t Mi?} |@ i_ 6Lh
i @4T*ic _@Lc Lhhi@c @?_ Ai*it E2fff t|_) |i igiU| Lu @ ThL_U||) tLU!
? @ U*Lti_ 4L?i|@h) iUL?L4) *!i |i L?i |@| i @?@*)3i_ ? 5iU|L?t  Ai)
tL |@| LT|4@* 4L?i|@h) TL*U) 4@?|@?t 4@h!T UL?t|@?U) @UhLtt t|@|it Lu
?@|hi ? hitTL?ti |L @ ThL_U||) tLU! ? @ ?4Mih Lu t|@|L?tc L?i Lu U
t |@| |i |*|) u?U|L? 4T*it |@| |ihi @hi i @U|*) Lgti||?} i@*| @?_
tMt|||L? igiU|t L? Lh! igLh| ? |ih U*Lti_ iUL?L4) At ?@h@?Ui L*_t
uLh @ U*@tt Lu Thiuihi?Uit _tUtti_ ? |i + *|ih@|hi M) k?}c *Lttih @?_
+iMi*L EbHH |@| t UL?tt|i?| | M@*@?Ui_ }hL| ? i @4T*i Lu |iti
Thiuihi?Uit t ,J}ES n w *L}E  ?c U i t| _tUtti_ @t 4T*)?} @ @h@M*i
i*@t|U|) Lu *@MLh tTT*) Wu i4T*L)4i?| t ?@h@?| |L ThL_U||) tLU!tc
Liihc @?_ |iti @hi |i L?*) tLU!tc |i? | 4@) ?L| |L Mi 4TLh|@?| i|ih
|i i*@t|U|) Lu *@MLh tTT*) t @h@M*i
Atc Lh €ht| TL?| t |tG @h@M*i i*@t|U|it ** Mi 4TLh|@?| ^@?||@
|i*) uLh LT|4@* 4L?i|@h) E4@h!T @?_ ?UL4i |@ TL*U) L?*) u ?_ih*)?}
tLU!t U@ti ^@?||it |L U|@|i tL @t |L ?_Ui 4TLh|@?| @h@|L? ? |i
i*@t|U|it 6Lh i @4T*ic k@?c k?} @?_ `L*4@? E2fff t|_) LT|4@* TL*U)
hitTL?ti |L ThL_U||) tLU!t ? @ 4L_i* | t|@}}ihi_ ThU?} | |i Thiu
ihi?Uit }i? @MLi | |i) t|_) @? iUL?L4) |L| U@T|@*c tL ThL_U||)
tLU!t @i itti?|@**) Lgti||?} ?UL4i @?_ tMt|||L? igiU|t L? Lh! igLh|
?_ih ?i|h@* 4L?i|@h) TL*U) Oi?Uic |i 4L?i|@h) @|Lh|) 4@) i |i *@MLh
i*@t|U|) @t igiU|i*) UL?t|@?| MiU@ti |i @h@|L? ? Lh! igLh| t t4@**
h tiUL?_ TL?| t |@| |i i TiU|i_ _h@|L? Lu tLU!t ** 4@||ih uLh |i
igiU| Lu @h@M*i i*@t|U|it W? @ 4L_i* |L| U@T|@* Lh 4*|TihL_ ThUi
t|U!?itt |t t @ ?L?tti | i Mi*ii |@| Tihtt|i?Ui Lu _t|hM@?Uit U@?
Mi 4TLh|@?| ? 4Lhi }i?ih@* 4L_i*t ? |i €tU@* t_ic @hc ht|@?Lc @?_
e

kiLi Ebbec Lh!?} |? @? + 4L_i* | U@T|@* ThL_?} ?|ih|i4TLh@*
*?!tc tL ^@?||@|i*) |@| |i LT|4@* *@MLh ?UL4i |@ h@|it tL*_ U|@|i
ih) *||*i ? |i Thiti?Ui Lu tLU!t |L ThL_U||) @?_ }Lih?4i?| ThU@tit
W? |ih hU + 4L_i* Lh! igLh| U@? @h) |hL} |4i uLh ?|ih|i4TLh@*
tMt|||L? hi@tL?t Ai) ti Thiuihi?Uit tU @t |Lti }i? @MLi |@| 4T*)
@ @h@M*i i*@t|U|) Lu *@MLh tTT*) AihiuLhic i ?|ihThi| |ih €?_?} |@|
*@MLh ?UL4i |@ h@|it @hi ih) t|@M*i ? hitTL?ti |L U@?}it ? ThL_U||) @?_
}Lih?4i?| ThU@tit @t ?_U@|?} |@| |i @h@M*i *@MLh tTT*) i*@t|U|) _Lit
?L| T*@) @ ^@?||@|i*) 4TLh|@?| hL*i `i UL?iU|hi |@| |iti €?_?}t 4@)
U@hh) Lih |L LT|4@* 4@h!T Mi@Lh ? 5 4L_i*t | @ hU + ULhic
@*|L} |ihi @t ?L| )i| Mii? @ t)t|i4@|U i T*Lh@|L? Lu LT|4@* 4L?i|@h)
TL*U) ? tU 4L_i*t
SD OL tL*_ |i 4L?i|@h) @|Lh|) hitTL?_ |L _i4@?_ tLU!tq
W? Lh 4L_i* Lu LT|4@* 4L?i|@h) TL*U) ? 5iU|L? c i @_ tTT*) EThL_U|
|) M| ?L _i4@?_ tLU!t `i ti_ |t tLU! t|hU|hi MiU@ti |i ThLh t|_it
Lu Whi*@?_ EbbS @?_ k?} @?_ `L*4@? Ebbb uLUti_ L? tU _t|hM@?Uit Oihi
i ?|hL_Ui }Lih?4i?| ThU@ti tLU!t }Er ?|L |i U*Lti_ 4L?i|@h) 4L_i* Lu
5iU|L? @?_ i @t! i|ih _i4@?_ tLU!t U@ti |i 4L?i|@h) @|Lh|) |L _i
T@h| uhL4 TihuiU| 4@h!T t4LL|?} `i t|_) |t ^it|L? ? @ U*Lti_ iUL?L4)
MiU@ti |i Th@|i tiU|Lh u**) ?thit @}@?t| }Lih?4i?| ThU@ti tLU!t ? |i
t4@** LTi? iUL?L4) `i @hi 4L|@|i_ |L t|_) |t ^it|L? MiU@ti k@?c k?}
@?_ `L*4@? E2fff hiTLh| |@| | t LT|4@* |L _iT@h| uhL4 |i hiuihi?Ui +
tL*|L? ? |ih t|@}}ihi_ ThU?} 4L_i*
`i @TT*) |i Th?UT*it Lu LT|4@* €tU@* @?_ 4L?i|@h) TL*U) _ii*LTi_ ?
5iU|L?t 2 @? @t uL**Lt Ai U*Lti_ iUL?L4) hitLhUi UL?t|h@?| MiUL4it
SEr n }Er ' +Er ' @Er?Er
Ai U*Lti_ hiuihi?Ui + tL*|L? U Thi@*t u |i 4@h!T t i*_ € i_
}*}|t |i igiU| Lu }Lih?4i?| ThU@tit ** i*ti i^@*c @ TLt|i }Lih?
4i?| ThU@ti tLU! Uhi@|it @ ?i}@|i i@*| igiU| uLh |i Th@|i tiU|LhG |ihi
t 4Lhi Lh! ?Er @?_ *itt UL?t4T|L? SEr |@? L*_ Thi@* ? t|@|it |
*Lih *ii*t Lu }Lih?4i?| ThU@tit Ai i @U| Mhi@!_L? Lu |i igiU| L? UL?
t4T|L? @?_ *ithi ** _iTi?_ L? |i _i|@*t Lu Thiuihi?Uit }@? L*_?}
L|ih |?}t i^@*c |i t|@|i ThUi ^Er '  ESEr L*_ Mi }ih | }hi@|ih
}Lih?4i?| tTi?_?} MiU@ti Lu |i @_ihti igiU| L? UL?t4T|L?


ee

Wu @?) _iT@h|hi uhL4 4@h!T t4LL|?} ihi U@**i_ uLhc L?i 4}| }itt |@|
| L*_ Mi _ith@M*i |L Rt|@M*3i |i igiU|t L? UL?t4T|L? Lu @ }Lih?4i?|
ThU@ti tLU!c M) *Lih?} |i 4@h!T i? }Lih?4i?| tTi?_?} t } |L
t|4*@|i @__|L?@* L|T| @?_ h@t?} |i 4@h!T ULhhitTL?_?}*) i? |ihi
@hi *L *ii*t Lu }Lih?4i?| tTi?_?} W| |h?t L|c Liihc |@| |i LT|43?}
4L?i|@h) @|Lh|) ? 5iU|L? ULLtit i @U|*) |i LTTLt|i T@||ih? Lu ?|ihi?
|L?tG |i 4L?i|@h) @|Lh|) |}|i?t 4L?i|@h) TL*U) |L h@ti |i 4@h!T i?
}Lih?4i?| _i4@?_ t } @?_ i@tit 4L?i|@h) TL*U) |L *Lih |i 4@h!T i?
}Lih?4i?| _i4@?_ t *Lc |t @4T*u)?} h@|ih |@? hi_U?} |i L*@|*|) Lu
UL?t4T|L? At t |i t@4i LT|4@* hitTL?ti Lu 4L?i|@h) TL*U) |L }Lih?4i?|
ThU@ti tLU!t |@| k@?c k?}c @?_ `L*4@? E2fff €?_
`i U@? ?_iht|@?_ |i ?@|hi Lu |t LT|4@* _iT@h|hi uhL4 4@h!T t4LL|
?} ? Lh t4T*i uh@4iLh! @t uL**Lt __?} }Lih?4i?| ThU@tit @t @ ti Lu
L|T|c t?} |i hitLhUi UL?t|h@?|c @?_ |i LtiL*_<t €ht| Lh_ih UL?_|L?t
E  c @?_ ?Lh4@*3?} b |L ?|)c i U@? i Thitt |i 4T*i4i?|@|L? UL?t|h@?|
E 2 @t
f '
'

]
]

dEr  o+Er^ErEr_r
d E?Er?Er   ESErSEroEr_r  




]

ES
}Er ESErEr_r ES2


,^@|L? ES2 }*}|t |i u@U| |@| }Lih?4i?| ThU@tit tu| |i 4T*i4i?
|@|L? UL?t|h@?| e `i @i uL?_ |@| |ihi @hi |L UL4T*i4i?|@h) @)t Lu
66Zkloh wkh NNZ sdshu kdv wkh suhihuhqfh vshflfdwlrq orj+f, .  orj+4  q,/ zklfk idoov

rxwvlgh ri wkh fodvv xvhg lq vhfwlrqv 5 dqg 6/ Doh{ Zropdq kdv uxq d vhw ri h{shulphqwv zlwk
wkh dowhuqdwlyh xwlolw| ixqfwlrq orj+f, .  4.4  q4. 1
Wkh jryhuqphqw sxufkdvh uhvxowv lq wkh wzr yhuvlrqv ri wkh NZZ prgho zlwk wkh wzr glhuhqw
vshflfdwlrqv zhuh yluwxdoo| lqglvwlqjxlvkdeoh/ vxjjhvwlqj wkdw wkh lpsohphqwdwlrq frqvwudlqw lv
wkh grplqdqw ihdwxuh ohdglqj wr wkh hhfwv ri jryhuqphqw sxufkdvhv1 Lq wkhvh h{shulphqwv doo
prqhwdu| glvwruwlrqv zhuh dovr holplqdwhg1
67Wkhuh lv d glvfuhsdqf| ehwzhhq rxu uhvxowv lq wklv vhfwlrq dqg vxjjhvwlrqv lq Urwhpehuj
dqg Zrrgirug +4<<:, dqg Zrrgirug +5334, wkdw }hur lqdwlrq lv rswlpdo luuhvshfwlyh ri wkh
qdwxuh ri wkh vkrfnv1 Wkhuh lv d vlpsoh uhdvrq iru wklv glvfuhsdqf|1 Urwhpehuj dqg Zrrgirug
dvvxph wkdw wkhuh lv d vxevlg| wkdw udlvhv rxwsxw wr lw hflhqw ohyho/ zklfk zrxog prgli| wkh
prqrsrolvw*v sulflqj frqglwlrq wr
]
3 @ ^k3 +q+v,,q+v,  #y3 +f+v,,+j+v, . f+v,,`!+v,gv
zkhuh  lv wkh _jurvv vxevlg|1%

Fohduo|/ wklv grhv qrw dowhu krz wkh jryhuqphqw sxufkdvh

eD

|?!?} @ML| |i 4T*U@|L?t Lu |t 4L_€U@|L?
 M_}i| UL?t|h@?| ?|ihThi|@|L?G AL Mi}? ? |t _hiU|L?c ?L|i |@| i U@?
?|ihThi| ES @t @ t|@|i UL?|?}i?| M_}i| UL?t|h@?| |@| 4t| Mi hitTiU|i_ M)
|i 4L?i|@h) @|Lh|) D AL ?|ihThi| |i 4T*i4i?|@|L? UL?t|h@?| |t @)c
|?! Lu @?
R4@}?@h) €tU@* @|Lh|) |@| 4t| tiU_t|Lh|?} |@ h@|it |L h@ti
U
hii?it Er+Er^ErEr_r @?_ 4@!i i Ti?_|hit +Er^ErEr_r S W? |i
U*Lti_ iUL?L4) i U@? 4Li |L ES2c @t _itUhMi_ @MLi | |iti 4L_€U@|L?t
_L ?L| !iiT t uhL4 |?!?} Lu ES2 @t @ t|@|i UL?|?}i?| M_}i| UL?t|h@?| Ai
4L?i|@h) @|Lh|)<t €ht| Lh_ih UL?_|L? uLh UL?t4T|L? ? t|@|i r t?} |i
t|@|i r hitLhUi UL?t|h@?| @?_ |i 4T*i4i?|@|L? UL?t|h@?| ES2 t
 ESEr ' \Er  Kd ESEr n SEr ESEro  Kd}Er ESEro






ES 



| \Er @}@? Mi?} |i 4*|T*ih L? |i hitLhUi UL?t|h@?| ? t|@|i r @?_
K @}@? Mi?} |i 4*|T*ih L? |i 4T*i4i?|@|L? UL?t|h@?| ES2 . At _
hiU|*) }i?ih@*3it |i €ht|Lh_ih UL?_|L? uLh UL?t4T|L? uhL4 |i 4L?i|@h)
@|Lh|)<t ThLM*i4 uLh |i U*Lti_ iUL?L4) ? 5iU|L? 
OL _L }Lih?4i?| ThU@tit @*|ih 4@||iht hi*@|i |L |i tL*|L? |@| i
_ihi_ MiuLhiq t MiuLhic i? |i 4L?i|@h) @|Lh|) |?!t @ML| ULLt?}
UL?t4T|L? ? t|@|i r i |@!it ?|L @UUL?| |i igiU| Lu t @U|L?t L? ^Er
| ?L |i 4L?i|@h) @|Lh|) 4t| |@!i ?|L @UUL?| |t igiU| L? |i @4L?|
|@| |i 4@}?@h) €tU@* @|Lh|) ** @i |L tTi?_c }Er^Er ' }Er ESEr
+@t?} UL?t4T|L? ? t|@|i r @t @? igiU| Lu d}Er ESEroc U t |i Lh}?
Lu |i ?i |ih4 ? ES  5Lc @ t|@|i | }ih }Lih?4i?| ThU@tit t @ t|@|i




vkrfn dhfwv wkh frqvwudlqw/ h{fhsw dv d vfdoh idfwru1 Exw/ li wkh vxevlg| lv lqwurgxfhg/ wkhq
rxu pxowlsolhu lv dowhuhg wr  @ +4  #,@+#^ 4 . 4 `, A 3 xqghu qhxwudo srolf|1 Vhwwlqj wkh
hflhqw ohyho ri vxevlgl}dwlrq/ dv lq Urwhpehuj dqg Zrrgirug/ pdnhv wkh pxowlsolhu htxdo wr
}hur ehfdxvh +4  #, @ 31 Dffruglqjo|/ wkh lpsohphqwdwlrq frqvwudlqw grhv qrw elqg dqg wkh
prqhwdu| dxwkrulw| lv iuhh wr pd{lpl}h xwlolw| vxemhfw rqo| wr wkh uhvrxufh frqvwudlqw1 Zh duh
lqghewhg wr Plfkdho Zrrgirug iru sxvklqj xv wr wklqn derxw krz rxu hfrqrp| zrxog zrun li
wkhuh zhuh d vxevlg| wkdw surgxfhg dq hflhqw ohyho ri fdsdflw| rxwsxw1
68Wklv lv frqvlvwhqw zlwk wkh hduolhu qglqj wkdw wkh pxowlsolhu rq wklv frqvwudlqw  lv srvlwlyh1
69Dv phqwlrqhg deryh/ rqh fdq wklqn ri prqrsrolvwlfdoo| frpshwlwlyh upv dv uxqqlqj d wd{
dqg wudqvihu vfdo srolf|1 Wkh lpsohphqwdwlrq frqvwudlqw vd|v wkdw wkh prqhwdu| dxwkrulw| pxvw
uhvshfw wkh upv* sulfh0vhwwlqj hflhqf| frqglwlrq1
6:Qrwh wkdw zh duh khuh dvvxplqj oxps vxp wd{dwlrq vr wkdw zh fdq ohdyh wkh jryhuqphqw
exgjhw frqvwudlqw lq wkh edfnjurxqg1 Zh duh lqwhuhvwhg lq zkhwkhu wkh frpsrvlwh pdunxs
wd{~h{solflw lqfrph wd{ wkdw lpsohphqwv rswlpdo prqhwdu| srolf| lv frqvwdqw1

eS

? U |ihi t ?L @ *itt ?Ui?|i |L @i UL?t4T|L? MiU@ti | RULt|t
4Lhi
`Lh!?} |?}t L|G W4TLti UL?t|@?| i*@t|U Thiuihi?Uit @t ? 5iU|L? @?_
4@?T*@|i |i €ht| Lh_ih UL?_|L? uLh UL?t4T|L? ES  |L LM|@?
 ESEr ' VS} Er\Erc


ihi VS} Er ' d n KE   E n  E }SEErr o   L|?} @t U@?}i_ ? |ih4t Lu
|i _i|ih4?@|L? Lu Lh! igLh| uhL4 |i U*Lti_ iUL?L4) ? 5iU|L? c tL |@|
|i UL4T@h@M*i hi@hh@?}i_ €ht| Lh_ih UL?_|L? t  E?Er ' V? \Er@Er H
,^@|?} |i hitTiU|i 4@h}?@* h@|it Lu tMt|||L? uLh LtiL*_t @?_ |i
4L?i|@h) @|Lh|)c t?} E   @?_ |i 4L?i|@h) @|Lh|)<t €ht| Lh_ih UL?_|L?t
@MLic i tii |@| |L 4T*i4i?| LT|4@* t|@|i UL?|?}i?| 4L?i|@h) TL*U) i ?ii_
hi@* 4@h}?@* ULt| |L Mi
V?

Er '
VS} Er
3



Atc hi@* 4@h}?@* ULt| 4t| u@** E|i 4@h!T 4t| hti i?iih LT|4@* TL*U)
U@**t uLh @? ?Uhi@ti ? |i h@|L Lu }Lih?4i?| ThU@tit |L Th@|i UL?t4T|L?
?i U@? it|@M*t |@| }Er*SEr htit i? }Er htit @| |i LT|44 b Atc
LT|4@* 4L?i|@h) TL*U) Rt|@M*3it i4T*L)4i?| M| R_it|@M*3it UL?t4T|L?
| hitTiU| |L }Lih?4i?| ThU@ti tLU!t
OL 4TLh|@?| @hi tU igiU|t *!i*) |L Miq `i UL?iU|hi |@| LT|4@* _i
T@h|hit uhL4 4@h!T Ehi@* 4@h}?@* ULt| UL?t|@?U) @*L?} |iti *?it @hi *!i*)
|L Mi ^@?||@|i*) t4@** u _i4@?_ tLU!t @hi hi@**) }Lih?4i?| ThU@ti _t
|hM@?Uitc MiU@ti |iti @hi *!i*) |L Mi u@h*) t4@** L|t_i Lu 4@Lh @h|4i
TihL_t OLiihc ?it|4i?| t ^|i L*@|*i U)U*U@**) @?_ | t TLttM*i |@| @
t4*@h *?i Lu @h}4i?| L*_ @TT*) |L ?it|4i?| ? @ 4Lhi UL4T*i|i Mt?itt
U)U*i 4L_i* ? |i L|ih @?_c ?it|4i?| LTi?t @? ?|ih|i4TLh@* t4LL|?}
6;Vhh Vhfwlrqv 61616 dqg 616171
6<Rqh fdq xvh wkh frpelqdwlrq ri prqhwdu| dxwkrulw| uvw rughu frqglwlrqv dqg wkh uhvrxufh

frqvwudlqw wr hvwdeolvk wklv1 Dowhuqdwlyho|/ li vpdoo vkrfnv duh frqvlghuhg durxqg dq lqlwldo
srvlwlrq ri qr jryhuqphqw sxufkdvhv/ wkhq
g

gj j gj
gj
j+v,
@

@
f+v,
f
f j
f

vr wkdw wkhuh lv qr qhhg wr zruu| derxw wkh hqgrjhqhlw| ri frqvxpswlrq lq uhdfklqj wkh
frqfoxvlrq1

e.

U@??i* uLh LtiL*_t |@| 4@!it | 4Lhi _U*| uLh |i 4L?i|@h) @|Lh|) |L
ThL_Ui |h@?t|Lh) @h@|L?t ? UL?t4T|L? At t 4TLh|@?| MiU@ti |ihi
L*_ Mi ?L _iT@h|hi uhL4 4@h!T UL?t|@?U) ? |i Thiti?Ui Lu _i4@?_ tLU!t
u |i 4L?i|@h) @|Lh|) UL*_ ?L| @giU| t|@|i ThUitc @t ? |i U@ti Lu Lh t4@**
LTi? iUL?L4) ?_ |i 4L?i|@h) @|Lh|) 4t| @giU| t|@|i ThUit |hL} |t
igiU| L? UL?t4T|L?
W? @?) U@tic LT|4@* _iT@h|hit uhL4 4@h!T UL?t|@?U) ? hitTL?ti |L }L
ih?4i?| ThU@tit @hi *!i*) |L Mi ^|i |i4TLh@h) ? ?@|hi 6Lh i @4T*ic ? |i
k@?c k?} @?_ `L*4@? E2fff @?@*)tt Lu @ t|@}}ihi_ ThU?} 4L_i*c _iT@h|hit
uhL4 4@h!T UL?t|@?U) *@t| uLh L?*) @ Mhiu TihL_ _h?} U |ihi t tM
t|@?|@* Thi_i|ih4?i_ ThUi t|U!?itt 6Lh @? ?Uhi@ti ? }Lih?4i?| ThU@titc
UL?t4T|L? u@**t |i4TLh@h*) hi*@|i |L ihi | L*_ @i Mii? | i 
M*i ThUit Lh ?i|h@* TL*U)( @?_ |i hi@* ?|ihit| h@|i htit MiU@ti UL?t4T|L?
t i TiU|i_ |L }hLef iU@ti LT|4@* _iT@h|hit uhL4 4@h!T Ehi@* 4@h}?@*
ULt| UL?t|@?U) @hi |i4TLh@h)c |ihi t *||*i igiU| L? |i T@| Lu |i ThUi *ii*
?_ih LT|4@* TL*U)c t?Ui ?@|L? hitTL?_t tMt|@?|@**) L?*) i? |ihi @hi
Tihtt|i?| 4Li4i?|t ? hi@* 4@h}?@* ULt|

. 5|U!) L4?@* `@}it @?_ |i w@MLh @h!i|
,_i?Ui hiUi?|*) thi)i_ M) A@)*Lh Ebbb €?_t @ML| |i t@4i _i}hii Lu |i4
TLh@h) h}_|) ? ?L4?@* @}it @t ? ThUit hUi U@?}it @?_ @}i U@?}it
@i @ML| |i t@4i @ih@}i uhi^i?U) Lu @ML| L?i )i@h ? |i M@tt Lu |t
i_i?Uic A@)*Lh TL?|t L| |@| |ihi t ?L i4ThU@* hi@tL? |L M*_ @ 4L_i*
? U @}it @hi TihuiU|*) i M*i *i ThUit @hi |i4TLh@h*) h}_ c Lh Ui
iht@e Wu L?i hiUL}?3it |@| ML| ThUi @?_ @}i _iUtL?t hi^hi tU@hUi 4@?
@}i4i?| @||i?|L?c | t ?L| thTht?} |@| |ihi t @ hL} t)44i|h) ? |i
|i4TLh@h) h}_|) Lu ?L4?@* ThUit @?_ @}it u|ih @ €h4 hiti|t ThUit Lh
@}itc | |@!it |4i uLh |i ThUi Lh @}i _iUtL? |L hi|h? |L |i |LT Lu 4@?
@}i4i?|<t ThLh|ite2
Bi? |i hL} i4ThU@* t)44i|h) Lu |i _i}hii Lu ThUi @?_ @}i h}_|)c |
73Lq wkh NZZ vhwxs/ wklv dgglwlrqdo lqfuhdvh lv odujhu wkdq wkh gluhfw hhfw rq wkh uhdo

lqwhuhvw udwh wkdw rffxuv zlwk d ulvh lq jryhuqphqw sxufkdvhv xqghu qhxwudo srolf|1
74Vhh Wd|oru +4<<<,/ ss14349 dqg 4353041
75Mrydqrylf dqg Xhgd +4<<:, rhu dq h{sodqdwlrq iru zk| frqwudfwv duh qrw lqgh{hg wr wkh
sulfh ohyho1

eH

t hi@tL?@M*i |L @t! ) Mi?U4@h! 5 4L_i*t @i i4T@t3i_ ?L4?@* ThUi
t|U!?itt h@|ih |@? @}i t|U!?itt ?i hi@tL? t |@| i ki)?it@?t tU
@t @?! Ebbf @i i4T@t3i_ |@| t|U!) ThUi 4L_i*t tii4 4Lhi UL?tt|i?|
| |i tL4i@| ThLU)U*U@* hi@* @}it uL?_ ? |i _@|@ ?L|ih hi@tL?
t |@| @__?} ?L4?@* @}i t|U!?itt UL4T*U@|it |i 4L_i* |L| 4@!?}
4U _gihi?Ui uLh 4Lt| @TT*U@|L?t OLiihc tL4i iUL?L4t|tc uLh i @4T*ic
*@?U@h_ Ebb. @?_ ,hUi}c Oi?_ihtL?c @?_ wi? E2fffc @h}i |@| |i t|hL?}
U@ti uLh ThUi t|@M*|) ? 5 4L_i*t _iTi?_t L? |i i M*|) Lu ?L4?@* @}it
Aiti @|Lht TL?| L| |@| |ihi @TTi@ht |L Mi @ |h@_iLg Mi|ii? ThUi
t|@M*|) @?_ L|T| t|@M*|) i? ML| ?L4?@* ThUit @?_ @}it @hi t|U!)
6Lh ?t|@?Uic ? Lh_ih |L t|@M*3i |i 4@h!T @?_ |i ThUi *ii* ? |i M@tU
5 4L_i* ? hitTL?ti |L @? @_ihti ThL_U||) tLU!c @}}hi}@|i _i4@?_ @?_
i4T*L)4i?| 4t| UL?|h@U| W? |i i M*i @}i 4L_i*c hi_Ui_ *@MLh _i4@?_
U@tit |i hi@* @}i |L u@**c Lgti||?} |i igiU| Lu *Lih ThL_U||) L? |i
4@h!T Wu ?L4?@* @}it @hi |i4TLh@h*) t|U!)c @?_ ThUi t|@M*|) t |L Mi
4@?|@?i_c |i? |i hi@* @}i U@??L| u@**c @?_ 4L?i|@h) TL*U) 4t| t|iih L|T|
Mi*L |t TL|i?|@* |L h@ti |i 4@h}?@* ThL_U| Lu *@MLh i?L} |L t|@M*3i |i
4@h!T @?_ 4@?|@? @ t|@M*i ThUi *ii* Atc |ihi L*_ @TTi@h |L Mi @
|h@_iLg Mi|ii? L|T| t|@M*|) @?_ ThUi t|@M*|) ? tU UhU4t|@?Uit
h hitTL?ti |L |t *?i Lu @h}4i?| t |@| @*|L} |ihi t i4ThU@**) @
hL} t)44i|h) ? |i |i4TLh@h) t|U!?itt Lu ?L4?@* ThUit @?_ @}itc |ihi t
@ u?_@4i?|@* @t)44i|h) ? |i t|hU|hi Lu *@MLh @?_ ThL_U| 4@h!i|t wL?}
|ih4 hi*@|L?tTt }Lih? 4Lt| *@MLh |h@?t@U|L?t ? @_@?Ui_ iUL?L4itc *i
`i @h}i
uLh |i 4Lt| T@h| }LL_t |h@?t@U|L?t |@!i T*@Ui ? tTL| 4@h!i|te
Mi*L |@| |i4TLh@h) ?L4?@* @}i t|U!?itt ? |i UL?|i | Lu *L?}|ih4 i4
T*L)4i?| hi*@|L?tTt t ?*!i*) |L ?i?Ui ? @ u?_@4i?|@* @) |i 5
hiUL44i?_@|L? uLh ThUi t|@M*|) h @h}4i?| t ? |i tTh| Lu |i i
iLU*@ttU@* 5)?|ittG i @UUiT| |i4TLh@h) ?L4?@* @}i h}_|) @t @? i4Th
U@* u@U| @?_ @t! @| |t igiU|t @hi *!i*) |L Mi }i? _)?@4U LT|43@|L? ?
|i *@MLh 4@h!i|
Ai }hi@| @*i Lu €h4tTiU€U ?it|4i?|t ? 4@? U@T|@* t |i 4@? hi@
tL? uLh *L?}*i_ i4T*L)4i?| hi*@|L?tTt ? |i *@MLh 4@h!i| ? i4T*L)ii
@?_ @ €h4 @hi 4Lhi **?} |L ?it| ? 4|@**) Mi?i€U@* €h4tTiU€U U@T|@*
76Wkhuh duh h{fhswlrqv1 Iru lqvwdqfh/ orz0vnloohg oderu lv vrphwlphv wudqvdfwhg lq vsrw pdu0

nhwv1 Ilupv dqg wkhlu vxssolhuv pd| kdyh d orqj0whup uhodwlrqvkls/ dqg edqn ordqv duh duudqjhg
lq wkh frqwh{w ri orqj0whup uhodwlrqvklsv ehwzhhq eruurzhuv dqg edqnv1

eb

u |i) i TiU| |ih @||@U4i?| |L Mi *L?}*i_ 6h4tTiU€U 4@? U@T|@* t
?L| i@t*) _iht€i_ Lh UL**@|ih@*3@M*i M) |i i4T*L)ii OLiihc |ihi t tULTi
uLh *L?}|ih4 UL?|h@U|t |L @**L ht! @?_ €?@?U@* ?|ih4i_@|L? |L Mi tu|i_
uhL4 i4T*L)iit |L |i €h4 wL?}|ih4 i4T*L)4i?| hi*@|L?tTt Uhi@|i t@hi_
hi?|t |@| ?|hL_Ui @ i_}i Mi|ii? |i @*i Lu |i Uhhi?| LM |L |i i4T*L)ii
@?_ L|t_i LTTLh|?|it Aiti hi?|t hi*@ 4L4i?|@h) @hM|h@}i UL?t|h@?|t
Mi|ii? Uhhi?| @}itc |i uLh|?it Lu |i €h4c @?_ 4@h!i| UL?_|L?tee t O@**
EbHfc bbb i4T@t3it |ihi t *ii@) uLh @}it |L |@!i |i uLh4 Lu ?t|@**4i?|
T@)4i?|t ? hi|h? uLh ?it|4i?| ? €h4tTiU€U 4@? U@T|@* 4?t @? ?th
@?Ui Thi44 UL4TL?i?| 5@hi_ hi?|t @U| @t @ 4|@* UL44|4i?| 4iU@?t4c
Uhi_M*) M?_?} €h4t @?_ i4T*L)iit |L *L?}|ih4 E4T*U| UL?|h@U|t
N?_ih u** ?uLh4@|L?c @? iUi?| *@MLh UL?|h@U| ? |i 5 4L_i* _itUhMi_
? 5iU|L? L*_ hitTiU| |i LtiL*_<t €ht| Lh_ih UL?_|L?t E   L?|h@U|t
L*_ h@ti |i i*@t|U|) Lu *@MLh tTT*) |L |i i |i?| |@| |i) i*T ?t*@|i
Lh!iht uhL4 |i i@*| igiU|t Lu tLU!t `| Th@|i ?uLh4@|L? L? Lh!ih
Thiuihi?Uit Lh ThL_U||itc @ UL?|h@U| L*_ @*tL hitTiU| @? ?Ui?|i UL4T@|
M*|) UL?t|h@?| | |ihi t ?L hi@tL? |L |?! |@| UL?|h@U|t L*_ ?L| Mi
iUi?| }i? |i Th@|i ?uLh4@|L? i?hL?4i?|
,Ui?| UL?|h@U|?} }it hi@tL? |L i TiU| tL4i _i}hii Lu hi@* @}i t|U!?itt
? U @}it |@!i |i uLh4 Lu ?t|@**4i?| T@)4i?|t ? |i UL?|i | Lu *L?}|ih4
hi*@|L?tTt L?|h@U| |iLh) Tih ti t@)t ?L|?} @ML| ) ?L4?@* @}it
4}| Mi |i4TLh@h*) h}_ 6Lh |@| i UL?|?i |L @TTi@* |L |i @h}4i?| 4@_i
@MLi |@| | t iUi?| uLh €h4t |L € ?L4?@* @}it uLh @ TihL_ Lu |4i @?_ |L
UL?t_ih @}i U@?}it L?*) @| _tUhi|i ETih@Tt t|LU@t|U ?|ih@*t OLiihc
i |?! |@| TL|i?|@* @**LU@|i ?iUi?Uit uhL4 ?uhi^i?| ti||?} Lu ?L4?@*
@}it @hi *!i*) |L Mi Lgti| ? |i UL?|i | Lu *L?}|ih4 i4T*L)4i?| hi*@|L?tTt
h @h}4i?| t hi4?tUi?| Lu @hhL<t Eb.. TL?| 6ht|c | L*_ Mi ?iUi?|
uLh i|ih €h4t Lh Lh!iht |L @**L ?L4?@* @}i t|U!?itt |L Tti| |i |ih4t ?
L|ihti iUi?| *L?}|ih4 hi*@|L?tTt 5iUL?_c |ihi t tULTi uLh €h4t @?_
Lh!iht |L ?i|h@*3i |i igiU| Lu ?L4?@* @}i t|U!?itt t?Ui @}it @*hi@_)
hiti4M*i ?t|@**4i?| T@)4i?|t ? |i UL?|i | Lu @ *L?} |ih4 hi*@|L?tT Atc
€h4t @?_ Lh!iht UL*_ Mi i TiU|i_ |L @hh@?}i u|hi |h@?tuiht |L ?_L @?) i@*|
igiU|t Lu ?L4?@* @}i t|U!?itt
+iUL?t_ih |i 5 iUL?L4)<t hitTL?ti |L @? @_ihti ThL_U||) tLU!
77Vhh Urvhq +4<;8,/ sdjh 447:1 Wklv glvfxvvlrq gudzv rq Urvhq*v vxuyh|1 Vhh dovr Plojurp
dqg Urehuwv +4<<5,/ Sduw 81

Df

i? |ihi @hi *L?}|ih4 i4T*L)4i?| UL?|h@U|t Wu |i ThUi *ii* t t|@M*3i_c
|i? |Lti €h4t Lti ?L4?@* @}i t |i4TLh@h*) t|U!) ** T@) @ |i4TLh@h
*) Ri Uitti hi@* @}i hi*@|i |L |i @}i U@**i_ uLh M) @? iUi?| UL?|h@U|
|L| ?L4?@* t|U!?itt OLiihc tU €h4t ** hiULh_ @ R_i uhL4 |L Mi
|h@?tuihhi_ uhL4 i4T*L)iit |L |i €h4 ? |i u|hi L?ti^i?|*)c RigiU|i
hi@* 4@h}?@* ULt| ** u@** @t 4U uLh €h4t |@| _L ?L| @_t| |ih ?L4?@*
@}it @t uLh |Lti €h4t |@| _L @_t| W? igiU|c |i UL?|h@U|@* uh@4iLh! ThL
_it @ UL?|i | |? U €h4t U@? M?U |ih UL?t_ih@|L? Lu ?L4?@* @}i
U@?}it |L| _t|Lh|?} |i Thiti?| @*i Lu @}i T@)4i?|t U@**i_ uLh M) |i
*L?}|ih4 UL?|h@U|eD
AL t4 Tc |ihi t UL??U?} i_i?Ui |@| ML| ?L4?@* ThUit @?_ @}it
@hi |i4TLh@h*) h}_ OLiihc i i TiU| €h4t @?_ Lh!iht |L ?i|h@*3i @**LU@
|i UL?ti^i?Uit Lu t|U!) ?L4?@* @}it ? |i UL?|i | Lu *L?}|ih4 hi*@|L?tTt
|@| Thi_L4?@|i ? |i *@MLh 4@h!i|eS ? |i L|ih @?_c tTL| |h@?t@U|L?t
Thi_L4?@|i ? ThL_U| 4@h!i|t ihi |i4TLh@h*) t|U!) ?L4?@* ThUit Lu 4L
?LTL*t|U@**) UL4Ti||i €h4t U@? ?i?Ui |i @ih@}i 4@h!T t}?€U@?|*)
Lih |4i Ai hi@* UL?ti^i?Uit Lu |i4TLh@h) ?L4?@* ThUi t|U!?itt ? ThL_
U| 4@h!i|t ?ii_ |L Mi i*4?@|i_ M) @ ?i|h@* 4L?i|@h) TL*U)c @ TL*U) |@|
tTTLh|t ThUi t|@M*|)
78Vlqfh orqj0whup frqwudfwv orrvhq wkh olqn ehwzhhq zdjh sd|phqwv dqg vkliwv lq surgxfwlylw|

ru suhihuhqfhv iru zrun dqg ohlvxuh/ dq| lqhflhqf| iurp d whpsrudu| glvwruwlrq ri wkh wlph
sdwk ri zdjh sd|phqwv +gxh wr qrplqdo zdjh vwlfnlqhvv, vkrxog eh vpdoo1 Wklv sduw ri wkh
dujxphqw pdnhv Dnhuor dqg \hoohq*v +4<;8, srlqw1 D up wkdw rswlpl}hv ryhu lwv fkrlfh ri
zdjh zloo lqfxu orvvhv wkdw duh vhfrqg rughu zlwk uhvshfw wr vpdoo whpsrudu| ghsduwxuhv iurp
wkdw rswlpxp1
79Lq klv frpphqwv rq rxu sdshu/ Mrugl Jdol srlqwhg rxw wkdw li qrplqdo zdjhv duh vwlfn| exw
qrw doorfdwlyh/ wkhq wkh phdvxuh ri uhdo pdujlqdo frvw zklfk lv xvhg lq Vhfwlrq 8 lv lqdssursuldwh1
Lqvwhdg/ rqh vkrxog xvh d phdvxuh ri uhdo pdujlqdo frvw zklfk lqyroyhv wkh vkdgrz uhdo zdjh
+wkh pdujlqdo ydoxh ri zrun, glylghg e| wkh uhdo pdujlqdo surgxfw ri zrun1
Zh eholhyh wkdw wklv vxjjhvwlrq lv dq lpsruwdqw rqh1 Elov* +4<;:, zrun rq wkh f|folfdo
ehkdylru ri uhdo pdujlqdo frvw ghdov zlwk wklv vruw ri phdvxuhphqw lvvxh dqg vkrzv wkdw lw lv
txdqwlwdwlyho| lpsruwdqw/ dowkrxjk kh grhv qrw wlh wkh uhvxowv wr wkh ehkdylru ri lqdwlrq1 Wkh
pruh suhflvh phdvxuhphqw ri uhdo pdujlqdo frvw zloo vxuho| eh dw wkh khduw ri ixwxuh zrun rq
lqdwlrq g|qdplfv1 Zh vwuhvv/ krzhyhu/ wkdw pruh dffxudwh phdvxuhphqwv ri uhdo pdujlqdo
frvw zloo qrw ohdg wr vlpsoh uhodwlrqvklsv ehwzhhq lqdwlrq dqg rxwsxw +ru hpsor|phqw, jds
phdvxuhv dv wkhvh duh wudglwlrqdoo| ghqhg1

D

H L?U*tL?
h ThTLti ? |t T@Tih @t |L i T*Lhi |i uL?_@|L?t Lu ?i|h@* TL*U) ? |i
i iLU*@ttU@* 5)?|itt W? _L?} tL i t|hi?}|i?i_ |i U@ti uLh ThUi t|@M*
|) @t |i Th4@h) LMiU|i Lu 4L?i|@h) TL*U) hUi t|@M*|) t ?i|h@* TL*U)
MiU@ti | !iiTt L|T| @| |t TL|i?|@* _i€?i_ M) |i L|UL4i Lu @? 4TihuiU|*)
UL4Ti||i hi@* Mt?itt U)U*i 4L_i* | @ UL?t|@?| 4@h!T W?|ihThi|?} |i
4@h!T @t @ |@ L? Lh! igLh|c i tLi_ L Th?UT*it Lu TM*U €?@?Ui UL*_
Mi ti_ |L _ihi UL?_|L?t ?_ih U 4@h!T UL?t|@?U) t LT|4@* 4L?i|@h)
TL*U) `i UL?t_ihi_ ?4ihLt hi@tL?t ) 4L?i|@h) TL*U) 4}| _iT@h| uhL4
4@h!T UL?t|@?U) @?_ ThUi t|@M*|)c M| i @h}i_ |@| LT|4@* _iT@h|hit @hi
*!i*) |L Mi 4?Lh
`i i4T@t3i_ |@| |i 4@h!T T*@)t @ _@* hL*i W? |t hL*i @t @ |@ c @
|4i@h)?} 4@h!T @t |i TL|i?|@* |L Uhi@|i ?iUi?| U)U*U@* U|@|L?t ?
i4T*L)4i?| @?_ L|T| Ai 4@h!T @*tL T*@)t @ Ui?|h@* hL*i ? |i iL*|L?
Lu ?@|L? `i tLi_ |@| |i LT|4@* 4@h!Tc |i L?i |@| tTTLh|t ThUi
t|@M*|)c @*tL 4@ 43it €h4 ThL€|t 6h4t UL?t_ih?} i|ih |L U@?}i |ih
ThUit ** ?L| ULLti |L _L tL i? |i Ui?|h@* M@?! 4@?|@?t LT|4@* 4@h!T
UL?t|@?U)c t?Ui ThL€|t ** @*hi@_) Mi 4@ 43i_ @| Uhhi?| ThUit At *L}U
U@? Mi |h?i_ @hL?_ @?_ T| |L }hi@| Th@U|U@* ti ? i?hL?4i?| |
u**) Uhi_M*i ThUi t|@M*|) t @*tL L?i ? U €h4t ULLti ?L| |L U@?}i ThUit
MiU@ti Uhhi?| ThUit @*hi@_) 4@ 43i ThL€|t W4TLh|@?|*)c Lh Th?UT*it Lu
LT|4@* €tU@* TL*U) 4T*) |@| |i t|@|U ThL€| 4@ 43?} 4@h!T t @*tL |i
LT|4@* UL?t|@?| 4@h!T ? |i + ULhi Lu |i ?i t)?|itt 4L_i* Atc
i tii ) ThUi t|@M*|) t ?i|h@* TL*U) |@| !iiTt L|T| @| |t TL|i?|@* @t
_i€?i_ @MLi At *@t| TL?| t Lu UL?t_ih@M*i Th@U|U@* 4TLh|@?Ui MiU@ti |
4i@?t |@| @ Ui?|h@* M@?! U@? Thti LT|4@* 4L?i|@h) TL*U) M) UL?tt|i?|*)
|@!?} @U|L?t |L €}| ?@|L? @?_ _i@|L? ? Lh_ih |L @U^hi @?_ 4@?|@?
Uhi_M*|) uLh t|@M*i ThUit  Ui?|h@* M@?! ?ii_ ?L| |@h}i| |i LT|4@* UL?t|@?|
4@h!T _hiU|*)c Lh !?L @?)|?} @ML| |

D2

+iuihi?Uit
do _@Lc ih?@h_?Lc Wt@Mi* Lhhi@c @?_ i_hL Ai*it RB@Tt @?_ Ah@?}*itc
i?|h@* @?! Lu Lh|}@*c @?tUhT|c @) 2fff
d2o !ih*Luc BiLh}i c @?_ a@?i| w vi**i? R i@h+@|L?@* L_i* Lu |i t
?itt )U*ic | `@}i @?_ hUi W?ih|@c "@h|ih*) aLh?@* Lu ,UL?L4Utc
L* ff EbHD 5TT*i4i?|c TT H2  H
d o |!?tL?c ?|L?) c @?_ aLtiT , 5|}*|3 wiU|hit L? M*U ,UL?L4Ut
i vLh!G UBh@O**c bHf
deo @hhLc +LMih| RwL?}|ih4 L?|h@U|?}c 5|U!) hUitc @?_ L?i|@h) L*
U)c aLh?@* Lu L?i|@h) ,UL?L4Utc L* Ea*) b..c TT fDS
dDo @ |ihc @h@?i RW?|ih?@|L?@* Ah@_i @?_ t?itt )U*itc ? BhLtt4@?c
B @?_ k +L}Lgc i_tc O@?_MLL! Lu W?|ih?@|L?@* ,UL?L4Utc L*  i
vLh!G ,*tiih Lh| OL**@?_c bbDc TT HfSe
dSo *tc @h! RAi )U*U@* i@Lh Lu @h}?@* Lt| @?_ hUic 4ihU@?
,UL?L4U +iic L* .. E#iUi4Mih bH.c TT H HDD
d.o *@?U@h_c *ih RL44i?|t dL? RAi i iLU*@ttU@* 5)?|itt @?_
|i +L*i Lu L?i|@h) L*U)o ? i? ih?@?!i @?_ a*L +L|i4Mih}c i_tc
,+ @UhLiUL?L4Ut ??@* bb. @4Mh_}ic @ttG WA hittc bb.c
TT 2HbbD
dHo |ihc `**i4 @?_ @hUt **ih RLt|t @?_ i?i€|t Lu @? ?|
W?@|L?@h) L*U)G "it|L?t @?_ Wttitc ? V , h}) @?_ a i**ic
i_tc ? W?@|L? @?_ N?i4T*L)4i?|G AiLh)c , Tihi?Uic @?_ L*U) @!
?}c **i? @?_ N??G wL?_L?c bHD
dbo @*Lc B  R5|@}}ihi_ hUit ? @ N|*|) @ 43?} 6h@4iLh!c aLh?@*
Lu L?i|@h) ,UL?L4Utc L* 2 E5iT|i4Mih bH c TT H bH
dfo @4TMi**c aL? vc @?_ +LMih| a 5**ih RL?|i}h@|L? @?_ Ait|t Lu
hiti?| V@*i L_i*tc aLh?@* Lu L*|U@* ,UL?L4)c L* bD EU|LMih bH.c
TT fS2HH

D

do @hc VVc @?_ @|hU! a kiLi RT|4@* 6tU@* @?_ L?i|@h) L*U)c ?
aL?  A@)*Lh @?_ U@i* `LL_uLh_c i_tc O@?_MLL! Lu @UhLiUL?L4Ut
4t|ih_@4G ,*tiih 5Ui?Ui Vc bbb
d2o

c @?_ w@hi?Ui a ht|@?L RT|4@* 6tU@* L*U) ? @ t?itt )U*i
L_i*c aLh?@* Lu L*|U@* ,UL?L4)c L* f2 E}t| bbec TT S.D2

d o L}*i)c A4L|)c @?_ AL4@t a 5@h}i?| RAi ,L*|L? Lu Lt|@h N5
W?@|L? #)?@4Ut 5|@?uLh_ N?iht|)c @?tUhT|c 5iT|i4Mih 2fff
deo # |c  @?_ a 5|}*|3 RL?LTL*t|U L4Ti||L? @?_ T|44 hL_U|
#iht|)c 4ihU@? ,UL?L4U +iic L* S. Ea?i b..c TT 2b. fH
dDo #L|ti)c U@i* @?_ i|ih Whi*@?_ RAi `i*u@hi Lt| Lu W?@|L? ? Bi?ih@*
,^*Mh4c aLh?@* Lu L?i|@h) ,UL?L4Utc L* . E6iMh@h) bbSc TT
2be.
dSo #L|ti)c U@i*c +LMih| B k?}c @?_ *i @?_ih w `L*4@? R5|@|i
#iTi?_i?| hU?} @?_ |i Bi?ih@* ,^*Mh4 #)?@4Ut Lu L?i) @?_
|T|c "@h|ih*) aLh?@* Lu ,UL?L4Utc L* e E@) bbbc TT SDDbf
d.o ,U!t|i?c ||L @?_ B@h) 6hL44 RAi hUi ,^@|L?c 4ihU@? ,UL?L4U
+iic L* DH E#iUi4Mih bSHc TT DbH 
dHo ,hUi}c ac #` Oi?_ihtL? @?_ A wi? RT|4@* L?i|@h) L*U)
| 5|@}}ihi_ `@}i @?_ hUi L?|h@U|tc aLh?@* Lu L?i|@h) ,UL?L4Utc
L* eS EU|LMih 2fffc TT 2H  
dbo 6hihc aig @?_ BiLh}i LLhi RW?@|L? ihtt|i?Uic "@h|ih*) aLh?@* Lu
,UL?L4Utc L* f E6iMh@h) bbDc TT 2.Db
d2fo B@*c aLh_ @?_ @h! Bih|*ih RW?@|L? #)?@4UtG  5|hU|h@* ,UL?L4i|
hU ?@*)ttc aLh?@* Lu L?i|@h) ,UL?L4Utc L* ee EU|LMih bbbc TT
bD222
d2o BLL_uhi?_c @h? R 6h@4iLh! uLh |i ?@*)tt Lu L_ih@|i W?@|L?tc
aLh?@* Lu L?i|@h) ,UL?L4Utc L* b Ea?i bb.c TT eDSD

De

d22o

c @?_ +LMih| B k?} RAi i iLU*@ttU@* 5)?|itt @?_ |i +L*i
Lu L?i|@h) L*U)c ? i? ih?@?!i @?_ a*L +L|i4Mih}c i_tc ,+
@UhLiUL?L4Ut ??@* bb. @4Mh_}ic @ttG WA hittc bb.c TT 2 
H 

d2 o O@**c +LMih| , Rw@MLh@h!i| 6hU|L?t @?_ ,4T*L)4i?| 6*U|@|L?tc ?
aL?  A@)*Lh @?_ U@i* `LL_uLh_c i_tc O@?_MLL! Lu @UhLiUL?L4Utc
L*  4t|ih_@4G ,*tiih 5Ui?Ui Vc bbbc TT  ..f
d2eo

 R,4T*L)4i?| 6*U|@|L?t @?_ `@}i +}_|)c hLL!?}t @Tiht L?
,UL?L4U U||)c bHfc L c TT b2 

d2Do Whi*@?_c i|ih RAi +L*i Lu L?|ihU)U*U@* L?i|@h) L*U)c aLh?@* Lu
L*|U@* ,UL?L4)c L* fe E}t| bbSc TT .fe2e
d2So aL@?LUc L)@? @?_ @t@!L Ni_@ RL?|h@U|t @?_ L?i)c aLh?@* Lu
L*|U@* ,UL?L4)c L* fD E}t| bb.c TT .ff.fH
d2.o k@?c M!c +LMih| B k?}c @?_ *i @?_ih w `L*4@? RT|4@* L?
i|@h) L*U) @?tUhT|c @) 2fff
d2Ho k4M@**c *it RAi "@?||@|i ?@*)|Ut Lu |i @tU iL4L?i|@ht|
L_i*c aLh?@* Lu L?i)c hi_|c @?_ @?!?}c L* 2. ELi4Mih bbDc
@h| 2c TT 2e..
d2bo k?}c +LMih| B RAi i W5w L_i*G w@?}@}ic wL}Uc @?_ w4|tc
6i_ih@* +itihi @?! Lu +U4L?_ ,UL?L4U "@h|ih*)c uLh|UL4?}
d fo

c @h*it *Lttihc @?_ 5ih}L +iMi*L RhL_U|L?c BhL|c @?_ t
?itt )U*itG G Ai @tU iLU*@ttU@* L_i*c aLh?@* Lu L?i|@h) ,UL
?L4Utc L* 2 E@hU bHHc TT bD2 2

d o k?}c +LMih| B @?_ 5ih}L A +iMi*L R+ittU|@|?} +i@* t?itt )
U*i L_i*tc ? aL?  A@)*Lh @?_ U@i* `LL_uLh_c i_tc O@?_MLL! Lu
@UhLiUL?L4Utc L*  4t|ih_@4G ,*tiih 5Ui?Ui Vc bbbc TT b2.
ff.
d 2o k?}c +LMih| B @?_ *i @?_ih w `L*4@? R`@| 5L*_ |i L?i|@h)
|Lh|) #L `i? hUit hi 5|U!)q ? aL?  A@)*Lhc i_c L?i|@h)
L*U) +*it U@}LG N?iht|) Lu U@}L hittc bbbc TT ebbH
DD

d o w@U!ihc aighi) @?_ 5|@Ui) 5Uhiu| RL?i) @?_ hi_| @t i@?t Lu @)
4i?|c aLh?@* Lu L?i|@h) ,UL?L4Utc L* H E}t| bbSc TT 2 
d eo wi?c  RAi AiLhi|U@* @?_ ,4ThU@* +i*i@?Ui Lu 5|@}}ihi_ `@}i L?
|h@U| L_i*tc # _ttih|@|L?c 5|@?uLh_ N?iht|)c bHb
d Do wU@tc +LMih| , R,UL?L4i|hU L*U) ,@*@|L?G  h|^ic @h?i}i
+LUit|ih L?uihi?Ui 5ihit L? M*U L*U)c L*  Eb.Sc TT beS
d So

@?_ @?U) w 5|L!i) RT|4@* 6tU@* @?_ L?i|@h) L*U) ? @? ,UL?
L4) `|L| @T|@*c aLh?@* Lu L?i|@h) ,UL?L4Utc L* 2 Ea*) bH c
TT DDb 

d .o @?!c  B R "U! +iuhitih Lhti ? @UhLiUL?L4Utc aLh?@* Lu
,UL?L4U w|ih@|hic L* 2H E#iUi4Mih bbfc TT SeDSf
d Ho *}hL4c @*c @?_ aL? +LMih|t ,UL?L4Utc h}@?3@|L? @?_ @?@}i
4i?| ,?}*iLL_ *gtG hi?|Ui O@**c bb2
d bo hitUL||c ,_@h_  R *|T*i i@?t Lu @)4i?| L_i*c ? @h?i||c
`**@4 @?_ ki??i| 5?}*i|L?c i_t i TThL@Uit |L L?i|@h) ,UL
?L4Utc @4Mh_}iG @4Mh_}i N?iht|) hittc bH.c TT e2D
defo +@4ti)c 6 R L?|hM|L? |L |i AiLh) Lu A@ @|L?c ,UL?L4U aLh?@*c
L* . E@hU b2.c TT e.S
deo +Lti?c 5ih? RW4T*U| L?|h@U|tG  5hi)c aLh?@* Lu ,UL?L4U w|
ih@|hic L* 2 E5iT|i4Mih bHDc TT ee.D
de2o +LMih|tc aL?  Ri ki)?it@? ,UL?L4Ut @?_ |i **Tt hic aLh
?@* Lu L?i)c hi_|c @?_ @?!?}c L* 2. ELi4Mih bbDc @h| c TT
b.DHe
de o +L|i4Mih}c a*L ac @?_ U@i* `LL_uLh_ RAi )U*U@* i@Lh Lu hUit
@?_ Lt|tc ? aL?  A@)*Lh @?_ U@i* `LL_uLh_c i_tc O@?_MLL! Lu
@UhLiUL?L4Utc L*  4t|ih_@4G ,*tiih 5Ui?Ui Vc bbbc TT fD
 D

DS

deeo

 R? T|43@|L?@ti_ ,UL?L4i|hU 6h@4iLh! uLh |i ,@*@|L?
Lu L?i|@h) L*U)c ? i? ih?@?!i @?_ a*L +L|i4Mih}c i_tc ,+
@UhLiUL?L4Ut ??@* bb. @4Mh_}ic @ttG WA hittc bb.c TT 2b.
eS

deDo 5@h}i?|c AL4@t a @UhLiUL?L4U AiLh) i vLh!G U@_i4U hittc
b.b
deSo

 R L|i L? |i UUi*ih@|L?t|< L?|hLiht)c aLh?@* Lu L?i)c
hi_|c @?_ @?!?}c L* E}t| b.c TT .22D

de.o 5MLh_L?ic   RhUit @?_ N?| w@MLh Lt|tG Ait|?} L_i*t Lu hU?}c
h?Ui|L? N?iht|)c 4i4Lc bbH
deHo 5|LU!4@?c *@? @?_ # *i@?_hL Oih?@?_i3 R, U@?}i L?|hL*tc @T|@*
L?|hL*tc @?_ W?|ih?@|L?@* 6?@?U@* @h!i|tc 4ihU@? ,UL?L4U +iic
L* .H Ea?i bHHc TT S2.e
debo A@)*Lhc aL?  RwL W?@|L?c @tt|hL}c @?_ |i hU?} Lih Lu
6h4tc ,hLTi@? ,UL?L4U +iic L* ee Ea?i 2fffc TT  HbefH
dDfo

 R5|@}}ihi_ hUi @?_ `@}i 5i||?} ? @UhLiUL?L4Utc ? aL? 
A@)*Lh @?_ U@i* `LL_uLh_c i_tc O@?_MLL! Lu @UhLiUL?L4Utc L* 
4t|ih_@4G ,*tiih 5Ui?Ui Vc bbbc TT ffbfDf

dDo

 R}}hi}@|i #)?@4Ut @?_ 5|@}}ihi_ L?|h@U|tc aLh?@* Lu L*|U@*
,UL?L4)c L* HH E6iMh@h) bHfc TT 2 

dD2o `LL_uLh_c U@i* RW?@|L? 5|@M*3@|L? @?_ `i*u@hic ,+ `Lh!?}
@Tih L Hf.c a@?@h) 2ff
dD o v?c A RL4?@* hUi +}_|)c L?i) 5TT*) ,?_L}i?i|)c @?_ t?itt
)U*itc aLh?@* Lu L?i|@h) ,UL?L4Utc L* . ETh* bbSc TT eD.f
dDeo ~c j@L_L?} R,?_L}i?Lt @T|@* N|*3@|L?c W?it|Lh<t ,gLh|c @?_ T|
4@* 6tU@* L*U)c aLh?@* Lu L?i|@h) ,UL?L4Utc L* S E#iUi4Mih bbDc
TT SDD.H

D.