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Transcript of A (0)214345464748494@4ACBCD4ECF GH 1,2, IQPSR 1 ...
33 1 Vol.33, No.1
2013 1 Systems Engineering — Theory & Practice Jan., 2013
: 1000-6788(2013)01-0050-11 : F416.31; F224.0
: A
"!"#"$"%"&"'"(")+*+,"-+./ 0
1,2, 13254 1, 68739 3, :8;=< 3
(1. >?@ABDCFEGDCH , >? 710049; 2. >?DIKJLMBDCFNOPDQRKS , >? 710071;
3. RTKLDCHFUDCKVWXLDCKPDQH , YZ 100190)[ \^]`_`acbedcf`g`hei`j`acb. k gel`]`_`m`n`ocp ,
g`q`resct`uev`m`n`wcx: yz`|cm`n~``m`n~s``m`n
.]`_ yz`|c m`n`dcf`ge`ch`e`]`_ | m`n . m`nche``sb
. gql]_ | mnhsgq ]`_`m`nche¡`¢``£``w`¤`]`_¥`c¦§`¨©cª«. ¬ce®`¯`° p`± z`²`³`´`µ h`¶e·`¸¹cº ,»`¼`½`¾`¿ t`g`q`uev`]`_ |c m`n`cgelc¶eÀ`]`_```m`nche```s . Á`Â`ÃcÄ : yz`|c mnche```s`c ÄeÅ`Æ ``~Çs``m`n ; k`È`É`Ê`Ë`|c `cÌ ² geÍ`ÎcÏeÐ`ÑcÒ`Ï |c `ÓÔ
,g`qe]`_ yz`|c m`nche```s`ceÕcÖ ; × g`qel`]`_````cØeoceÙ``ÚcÛe`cÜeÝÞ`ß.à`á`âãÀcäeÎcÏ yz`|c m`n ;
```s; åcæeç`è`´`µ ; é`ê - ë`ì`´`µ ;
]`_Price discovery on steel markets
FANG Wen1,2, FENG Geng-zhong1, LU Feng-bin3, WANG Shou-yang3
(1. School of Management, Xi’an Jiaotong University, Xi’an 710049, China;
2. Center for Economic Research, Xidian University, Xi’an 710071, China;
3. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, China)
Abstract Steel industry is the pillar industry of China. There exist three types of markets in domestic
which are different from other foreign markets: bulk stock electronic market, futures market and spot
market. China’s steel electronic market is a unique steel market. Its price discovery has been of concern
to theorists and industry. Study on price discovery in domestic and abroad steel markets is of great use
to the formation of steel pricing power, as well as the smoothy development of domestic steel markets.
This paper uses two classical methods which belongs to common factor measurement model to measure
the price discovery of three domestic steel markets and two foreign steel futures markets. The results show
that: steel electronic market is the leading market in domestic steel markets. The price discovery of steel
electronic market is more powerful than SHFE, LME and NCDEX; and abroad steel futures price is still
not an effective steel price by now.
Keywords bulk stock electronic market; price discovery; information shares model; permanent transitory
model; steel
1 íïîð`ñ`ò`ó, ôeõ`ö`÷`ø`ù`õ . ú 2002 û`ü`ý , ôeõ`þ`÷`ÿ . 2008 ûcôeõ`þ`÷`ÿ
37.64%. 2009 û , , ùÿ÷õþ÷ÿ , ôõÿ 56780 !" ,
2008 û#$ 13.5%, `ÿ &% 47%,
2008 û'()* 10 +,-. . /0 , ôeõ`÷ø`ÿ12 34576 . ôeõ8`ö`÷`ø9:`ù`õ , ÷`ø9:;<=>?@ABCDE ~GFH ÿE ~JIK
E ~ML7N&OP E , QQ . ôeõRSTU#$ VWXYZ[ ÷ø9: ù\] . ÷`øDE ^ U_`8 Pa )DE-b ~dc ô&ef ~dgh fQij . üklm`nopq , ôeõ`örstu “ ÷`ø`ù`õ ”, vw “ ÷`øxzy|~
: 2010-08-26zz|: z|~zzzz (70672058); zzzzzzzzzzzzz (NCET-05-0848); zzzzzzzzzz z¡z¢z£
(K50511080001)¤z¥z¦z§: ¨z© (1982–), ª , «z¬zzz® , ¯z° , zz¨|± : ²z³zzz´zµz¶ , E-mail: [email protected].
1 ¨z© , · : |¸~¹zºz»z¼z½z¾z¿zÀzÁzÂzÃzz 51
Ä õ ”[1]. *`û`ý , õ7Åe÷ÆÇÈÉÊtËÌ28Í7Î)Ï. . ÷ÆÇÈ ÐÑ ,YÒÓ õ7Å&qÔÕÖ ÷Æ×`ÿ ~~ØÙ~ 9:ÚEÛ`ý7ÜeùÝÞ 1 , 8ßàá``÷`ø`ÿEâãäå æç E ~~èé E ~~FHÿEQ`ÿE _` .
ôeõ`÷Æêëìíîïðñòó : ôõìí ~ ùö÷ø N&ù êëìíúûõìí 2 . ücô , ûõìí?`'ýþ)ÿÇÈ , `ôõÇÈs å``ö`õ7ÅìíÇÈ_ô è ;< [ . `ùö÷ø N&ù êëìí`öcôõ ìí , `ûõìí?ìí ~ êë÷ñ ~Í & Q Y , öï> [ !~ ÷Æ ~"# ~%$'& Qùö÷ø'(D')êë * B2B +î N&ù ÷,-. [2]. ÷Æ N&ù êëìí ÿ×`ö`ý é l`õ7Åe÷ø×`ÿ ~ ØÙ ~ 9:ÚE [÷Æ`ù/- þ\\< , ü01û 2~435 ×`ÿR6 \< . 7`ý7Ö ÷ÆÚEú89:;<'=>?@AB CDEFGHIJ'(K'L'MN'O , PQRSTUVWXYZ'HI'J['\]'^'H_'V . `a , bcdefg [\hij , klm[\hinVopQRqr ? sbtuvwx , ^ybtTzu fg GQR . |b~~H fg G @A . Tl fg G @A H @AbIJJ @A . bc[\]^_V^H fg QRV bt fg QR ?¡¢£¤ H¥¦§¨<=©ªQR[\]^_VE«^ . [\]^QR¬h®¯°FQR[\H±'='² , ''³'Q'R'´'µ'¨'H'_'V'¶'l [3]. ·'¸'¹'? ''º'» '['\']'^'¼'½'¾'¿ÀjÁH'l'm'Â'Ã'µ'¨'H º»
. s·¸¹? º» j , ÄÅ·¸¹?HÆÇÈÉ ¡ C[\]^ÊËÌÍHh®Î¸ , ÏÐÑÒ eº» , ÓGS(Garbade Silber)
º»3 IS (information share, h®ÌÍ )
º» PT (permanent transitory, ÔÕÖ× )º»Ø. Ù IS
º»PTº» WTÚZHÛÜ Ý «Þßà , Ðáãâä[\]^¼½Håmæç º» 4 .è åm º» ¡é êëìíº» (VECM) á Ý EÆÇîFθQRH·¸¹? . Hasbrouck[21] ïð
H ISº»ñòóô ·¸¹? ( õ«Tö[\ ) Hh®HÈ ë , ¬l÷QRHh®ÌÍøáPQRC·¸
¹?Hh®È ë HÊËÌÍ . Gonzalo
Granger[22] ïð H PTº»ù ¬·¸¹?úKÆÇ , <=ûªü ÷QRsÏз¸¹?jHýÐÌÍ , îFQRC[\]^HÊ˲ 5. SÒþ;C è åm º» OÑÿ Ü , Æ;H ( : Baillie
Ø[18]; Harris
Ø[12−13]; De Jong[24]; Hasbrouck[25]; Lehman[26]).
;´¨H sh®È ë H . PTº» Ñh®jHÈ ë , IS
º»ù ÑÙ÷QRÊËHTö[\È ë j HÌÍ . ;H ù s ñ H Ý ¢ , <=û é êëìíº» E©ª ð [\]^ÊËÌÍ .
BaillieØ
[18]
De Jong[24] ð , Óû ð H é êëìíº» H ë ( á¸Gh® ) Î! ñ , "# è åm º»$ îF!¸'H%& . Ó ë' ! ñ , ¬îFTÚuÆ(H% . PTº» ª=²)*!C+,
, -D. ë ! ñ/01º»2 ûj . ISº»34 FÑ ë ! ñ H56 , Hasbrouck[21] ¬È ë78 ú
K Cholesky ¹?ÆÇ , 9: ë ! ñ . -PÈÉ<=¹?ÆÇj Hθ;<=îQRh®ÌÍH ¢ x>, ¹? , °D ï@ l÷AlHÌÍ . Bå÷QR! ñ/CD HEF ,
¢ x >GHI $ u . J GH =u ,ù
SKîFl÷LMH%Ü 6 .
áNO è åm º» HPQ , R[\]^_VH©ªnTö , S% ð d÷TU : 1) ÄÅ Hasbrouck[21],
1. VXWXY 2009 ZX[X\XZ , ]X^X_X`XaXbXcXd 7561 e , aXbXfXgXcXd 20–25 hXe .
2. 2003 Z 4 i , jXkXaXlX]XmXnXoXpXqXrtsXutvXwtatlyxzX|ttg . ~XXXXXXXaXlyxzXtgXptqt` : [XXXXaXbxzXXgX]XmXXaXbyxzXXgXpXqXtX]X^XatbyxztXgX]tm ; 2009 Z 3 i 27 , ]X^X[XXXXXgXXXXuXvXwXaXlX , XgXXXXXXaXXXl .
3. Garbade Silber[4] XXXXXXXttt tX¡t¢t£t¤t¥t¦Xwt§t¨t©tª . «XvXwX¬X¢XXX®Xptqtt¯t° . ¬X¢XpXq(dominant market) ±XXXoXX²X³X]X´X¬X¢XµX¶ , X®XpXq (satellite market) ·X¸X¬X¢XpXqX¹XºX»X¼XXpXqX½X¾ .
4. ¿XÀ IS ÁXÂXXÃXÄXÅXÆ : Howard Ç [5] Huang[6] ÉÈXÊXËXXÌXÍtÎ [7] Poskitt[8]. ¿XÀ PT ÁXÂXXÃXÄXÅXÆ : Booth
Ç [9] Ding Ç [10] Harris Ç [11−13] ÐÏXÑXÒXÇ [14]. ÓXÔX¿XÀ IS ÁXÂX PT ÁXÂXXÃXÄX` : Tse[15] ÕXÖy× XwXØXÙX¨XÚXXgÛÛµÛÜÛÛgÛXXXXoXXÝXÞ Booth Ç [16] × ÛwÛ±ÛßÛàÛáXâyãäXXX`XåXæXÀXtgXXXXgXçXXÝXÞ . Tse Xiang[17]è À Baillie Ç [18] XéXê , ëyì IS ÁXÂXíXîXvXXXXoXXÝXÞX[XïtðX¥t¦Xñtò , óXôXÔ PT ÁXÂ , ÃXÄXwXØXÙXõXdXXgXXöX÷ XøXùXúXûXüXXttáXýÿþXttXttotXÝtÞ , XXÃXÄXXqyãXgtYÿxzttgXtÔ t« wX§X¨ . , Tse Ç [19] Cabrera Ç [20] ¿XÀXwXXXpXq XtoXX²t³X .
5. , ! X_XzX¤" (common factor coefficients, #$ So Tse[23] Tse Xiang[17]) Ð_Xz%&' Õ() (common-factor component weight approach, #$ Cabrera[20]), XX**+XÁXÂ (component share, #$Yan Zivot[3]).
6. ± So Tse[23], X Lien[27] ,-X].X«XY/ .
52 ¤1012 ³1 1354 §16 7 33 8
:9:; #:< ÖH:=:>:?:@ ( Ó:A ) E:B:CÙE:?:D:E:FEH ü ÷QRh®¸G ' ! ñ ; 2) BaillieØ
[18] ï@Ò e Æ:G? , IHÙ IS
º» ©ª ð Hh®ÌÍ ¢ x > H B:J:K CQR[\]^_VH¯Ûû . BoothØ[16]I ïð !¸H:L:M ; 3) Yan
Zivot[3] R # %:N º» , ¼½Ñåm º» H%:N /:O ¹:P . ]^,:Q R # l eº» ÎV:R½'å'÷:SUT:?UV'±'[\']^'_UW . X:Yá , ¬å eº» %¯:Z:[R # , WÆ:\
h®:]:S:T:^:_:F:[:VÔÕ /:` E /:a :V óô .b ¢ :c, :d:eÈÉ:f:g:h , i:j:k:lImon:p:q:r:s:S:T:t:u:v:w:x:y:z , :w:|::~:::: [7], :::
[28] V:: , :::u:v:w ( ^:_:v:w ) :::::::::::::::::zUk: :¡U:¢:£ .¤ n , :u:v:w::::¥:¦:§:¨:©:ª::«:¬::®:¯:°:± [29], ²:³:t:u:::v:w: IS ´:µ:¶:·:¸:¹:º:»:¼::::::½:¾:¿:À [3]. Á ¤ , Â:Ã:f:gÄ::v:w:Å:Æ:Ç:È:É:Ê::´:µ:Ë: . :w Baillie Ì [18] Booth
Ì [16], Â:Ã:Í:Î:::¿:À::::Ï:Ð:v . Ñ:n , : Yan Zivot[3] :Ò:Ó , Ô:Õ:Ö:::::×::Ø:::ÙÚ ´:µ:Û:±:Ü:Ý:Þ: .
Â:Ã::ßImoà:¢:á:â:ã:ä : å:æ:ç:ä:::::×:::::è: Ò:´ , å:é:ç:ê:p:q:: ::v:w:fUg , UëUì UUUUíUîU²UÂUïUUðUUñUò , åUóUçUäU«UôUØUU¢U£UUõUÁUöU÷ , åUøUçUäU¢UùUU¯Uú:Ò:Ó .
2 ûýüýþýÿ
IS ´:µ: PT ´:µ::ú:x , :Õ :´:µ::¼UÅ:ÆUÇUÈ:ÊUô , :ì ::::¹ ì :Á . , :Ð::Ò:oð !":´:µ (reduced form vector error correction
model, :ß#:ä VEC ´:µ ) Ý:Ë::::::: [3,14,17−18]. Á ¤ , $:Â:Ã:::% , :á:Ò:æ&oð:p ' VEC ´:µ , ()*:ß :
[
∆x1t
∆x2t
]
=
[
c1t
c2t
]
+
[
α1
α2
]
· [ β1 β2 ] ·
[
x1t−1
x2t−1
]
+ Φ1 ·
[
∆x1t−1
∆x2t−1
]
+ · · · + Φp ·
[
∆x1t−p
∆x2t−p
]
+
[
ε1t
ε2t
]
(1)
+ % , [ β1 β2 ] ():Ç:Èoð ,
[
α1
α2
]
() !",:voð , :³-. ∆xit(i = 1, 2) / ì0 ð:12:Ð34 ¾:5:È67 . 8 Zt =
[
α1
α2
]
· [ β1 β2 ] ·
[
x1t−1
x2t−1
]
, 9 Zt #:ä !": , ;:< x1t,2t => §:Ð3 : +?@ 5:È . εit = (ε1t, ε2t)
′ Ð:©:ä 0, A :ä Ω BC :í:î . Ω DE:ä :
Ω =
(
σ21 ρσ1σ2
ρσ1σ2 σ22
)
(2)
σ21(σ2
2)0F äC 0 ð ε1t(ε2t) A , ρ äC 0 ð::¯:ú,:v . IS ´:µ:Ô VEC ´:µGHIoðJ:½:Ï
Ð:: :
∆Xt = Ψ(B)et (3) +K 0 DE :
Xt = Ψ(1)
(
t∑
s=1
es
)
+ Ψ∗(B)et (4)
Ψ(1)et LM <N:¿:À (innovation) et / ì í:î: > §OP . Ψ(B) Ψ∗(B) ä :EQR , B äST: . $ IS ´:µ% , :¼UV Ψ(1). Johansen[30] (W :
Ψ(1) = B⊥Πα⊥′, Π =
α⊥′
I −
k∑
j=1
Aj
β⊥
−1
(5)
α ¥ βF ê VEC ´:µ%o !",:voð::Ç:Èoð , ßX ⊥ ():":roð . Á ¤ , y:::w α
¥ β ::Î::::%o¿:À:U:U . Y;Z , $:Â:Ã[:% , :p:q:r:s:::Å:Æ:Õ:Õ 0 ÷U¥\^] . :ß_ ùa`^UrUsUU ( UhcbcdceUpcfa`^UrUsa%^gUäch , c# SSEC) U§ciUU ( UhcbU§ciUrUscjUäch ,
# SHFE) :::::×: . :Ê:ôÄ:v:::í:î::¹' 0 ä:ÏkUí:î , n = 2, β = (1,−1)′. lo³Ψ(1) =
(
ϕ
ϕ
)
, Á ¤ ϕ mn:¥ α⊥′ ¯:ú , ϕ = cα⊥
′ = c ( γSHFE γSSEC ), c ä:¹o:v . $ Ω äp:qR ,
: Cholesky Á 0r , z:k::ß:éqR*:ß :
M =
(
m11 0
m12 m22
)
=
(
σSSEC 0
ρSSEC,SHFEσSHFE σSHFE
√
1 − ρ2SSEC,SHFE
)
(6)
s1 t uwv , x : yz|w~wwwwwwwwwww 53
E (6) %o σSSEC σSHFE ρSSEC,SHFE y: VEC ´:µ%oC :ÇA QR:z . l ¤ , Õ ì:::p:q::::¿:À:::::ä :
SSSEC HB =(γSHFEσSSEC + γSSECρSSEC,SHFEσSHFE)2
(γSHFEσSSEC + γSSECρSSEC,SHFEσSHFE)2 + (γSSECσSHFE
√
1 − ρ2SSEC,SHFE)2
,
SSHFE LB =(γSSEC
√
σSHFE(1 − ρSSEC,SHFE2))2
(γSHFEσSSEC + γSSECρSSEC,SHFEσSHFE)2 + (γSSECσSHFE
√
1 − ρSSEC,SHFE2)2
(7)
E (7) % , SSSEC HB SSHFE LB
0F ()`:r:s:::::::×:::h::§i:::::::×::ß . WZ , SSSEC HB + SSHFE LB = 1. :w Hasbrouck[21], : ? H Cholesky Á 0r % ? ð::ãí , y::®:z:::¿:À::::: ß .
Gonzalo ¥ Granger[22] Ô:Á: ft
0r I::::± :
ft = ωXt (8)+ % , ω = (ω1, ω2, · · ·, ωn), ω ä 1 × n '::Á,:voð . :Î , ω ê VEC ´:µ% !",:voð α ":roð . $`:r:s::::§i:::D:ß , :w α =
(
αSSEC
αSHFE
)
, z:k:::::::×::7 , : E*:ß :
CSSSEC =|αSHFE |
|αSHFE | + |αSSEC |, CSSHFE =
|αSSEC |
|αSHFE | + |αSSEC |(9)
3 ÂUÃc¡c¢a% lc£cdUUpUqa`^UrUsUU —— cbcdceUpcfa`^UrUsa%^g (SSEC) ¤UäUvUwUc¥Uc¦ .
lo³§¨©:êª:::å:¹cdUr:sc«c 7 , ¬¡¢]:ä®:¯Ur° Õ ìc± §c¨c©:±cc²³ ´°cµU:v:w . i:::Â[¡¶:¥bde§¨©:r:s:±:[:X·« ( ¸: 5.75mm×1500mm×C, q¹ Q235/
SS400) ::v:w , :¹X·«:i:::v:wº:· . Á»7 5.5mm :v:w:y:z , ¼ª¸:/½¾¿À:ä 0 Á ,
j:¬::Âë 5.5mm×1500mm×C, Q235/SS400 §¨©:i:::v:w . v:w¶ÅÄ´bde:pf`:r:s%g:¬::pfÆ .Ç j:kb:§i:r:sj (SHFE) ÈÉ:p:§i::r:s:ðÊd:³:q:§i , ¬¡¢TË:Õ ì±ÌÍ ²³§È:±Ä´°µ:::v:w . i:::::¥:§i:±cX·c« ( ¸: 16mm–25mm, q¹ HRB400) ¯Î:bÏ:pÈÉ:p:iÐ: . v:w¶ÅÄ´b:§i:r:sj .ÑÒÓÔ r:sj ( # LME) Ä 2008 Õ 4
± Ë:Î:pÖ:§i , × 2009 Õ 12±
11 , p:q:r:s:ðnØ:éÙÚ ½ , I:r:Û 13 ÜÝÁ .+ % , Z%b:rÞ:±:I:r::ä 11.5 ÜÝÁ , ßàI:r:: 88.46%. á LME
3± §i:±::r:s]® , l ¤ , Â:ᢠLME3
± pÖ:§iZ%b:±Ä´°cµU:UvUw , pÖ:§ i:¶ÅÄ LME âAÆã:¬::pfÆ 8 . ä7:låæ« çÍ «:r:sj ( # NCDEX) ¡¶:ø ì± T:k:§è p:±Ä´°µ: , :ê:Á:ä:é NCDEX êëì£í:ä 2009 Õ 1
± k:§::§i:±:: , î NCDEX $2008 Õ 8
± Ë:Î< è p:§i .è p:§ i:::жÅÄ NCDEX âAÆã 9.
ä<\]:lImon:p:q::::::::×: , ¬::¼ï::¹ð:Â:§:Ò:´ . :w:v:w::y:z , Ô 2009
Õ 4±
23 ´× 2010 Õ 5±
13 ´¤:ä:: =ñ . lo³:x:::çòÄxó:¹ô: $õ:º:r:sÄ´öIr÷ø , ä:¨ù:v:wú: , ûüjpú::v:w , :zý 258 ð:Â:v .
SSEC SHFE LME NCDEX ód:p:q:::¥:i:::::í:îþ*þ 1. þ 2 ê`:r:s::::§i:::::v: ÿþ .
lþ 1 y , p:q`:r:s:: §i:::¥:i:::::ÿ:²:Â:¹ô ,ÑÒ
LME3± pÖ:§i:¥
i:::ÿ\]:¯ , Ð:y::Ç:È:ú, . ä7 NCDEXè p:§ i:: ]d , Ä 2009 Õ:ß
Õ::Ý ,+ :¹m:ä" , ::ÿ:²:Â:¹ô , (W + :y:$ > §:Ð3:ú, . þ 2 ) , p:q:§i::
7. wyw~w s , w~w , w~w 50%.
8. : https://secure.lme.com/Data/community/Dataprices Steels OfficialPrices.aspx,
http://www.lme.com/Steel Med Prices.asp, http://www.mysteel.com.
9. !w~wt"ww : http://ncdex.com/Market Data/Future price.aspx;!w~w"ww : http://ncdex.com/Market Data/Spot price.aspx.
54 #%$%&%'%(%)+*%,%- s33
$:lImË:ÎT::¹Õ =. , :/:½07d:³`:r:s:: , 1::Î2:xkV:34 . Õ ì :$ 2009
Õ:ßÕ1:]d/:½ , §i:::/:½56W . 2010 Õ 3±
–5±
, Õ ì ::::/:½78ÿ9 , /:½07dd:: .
3,000
3,200
3,400
3,600
3,800
4,000
4,200
4,400
4,600
4,800
7/1/09 10/1/09 1/1/10 4/1/10
SSEC SPOT_HRB
(a) ;< SSEC *w"ww=>? ( @A : B / C )
3,200
3,600
4,000
4,400
4,800
5,200
7/1/09 10/1/09 1/1/10 4/1/10
SHFE SPOT_RB
(b) ;< SHFE DEw~wt"*w"ww=>? ( @A : B / C )
300
350
400
450
500
550
600
650
7/1/09 10/1/09 1/1/10 4/1/10
LME_F LME_S
(c) FG LME ~Hwt"*w"ww=>? ( @A : IB / C )
20,000
22,000
24,000
26,000
28,000
30,000
32,000
7/1/09 10/1/09 1/1/10 4/1/10
NCDEX_F NCDEX_S
(d) JK NCDEX !w~wt"*w"ww=>? ( @A : LM / C )N1 SSEC O SHFE O LME O NCDEX PQRSTUVWXYZVW[\]^ N
4 _a`abacad+e4.1 fghijklmn
lo³ IS ´:µo PT ´:µ:Ðpq:Ç:È:ú, , rs ìtu :v:¹ ì :Á: , jrw¼cUÊUôyxyzUíUî =y ÇUÈc 10 . ¬cy|yq Phillips
o Perron ë:Î ~ (PP ) xz .PP yyy ( yy ) y , 99% y, SSEC SHFE LME o NCDEX ¡¢£ xzo¤¥xz¦§¨©ª , «
I(1), .
4.2 ¬®¯°±²³´µ¶·¸¹»º½¼¾¿ÀÁ©Â»Ã , ÄÅÆÇ»Ã½È ¡»É½Ê ¢£ËÌÍ
¤¥ ËÌ ÎÏ Ð ¥ ËÌÍ ¤¥ ËÌ , ÑÒ É½Ê ¢
.06
.04
.02
.00
.02
.04
.06
7/1/09 10/1/09 1/1/10 4/1/10
DLOG_SSEC DLOG_SHFE
Ó2 SSEC ÔÕÖ× SHFE ØÙÚÛÜÝÞßà Ó
£ËÌÍ Ð ¥ ËÌá ¡âãä ¤åæçè 11. éêë Engle-Granger SSEC ìíî拉ð SHFE
ÎÏ Ð ¥ï¤¥ð SSEC ï SHFE âã á ñ . òó , ô©õ Í ôöõ âã 1%á ò÷
10. øù (cointegration) úûüýþÿüý [31].
11. , !"#$% , &'þÿ()þÿ*+,-.0/2134, 567 þÿ89 /21 ú:;% .
<1 = >? , @ : A0B2C þÿDEFGHI 55
ñ KJ KLKM , ôKNõ âã 5% ò÷ ñ KJ KLKM 12 .OKPKQKRVEC SKT , SKTKUKV KWKX 1 Y ó 13.ZK[ X 1, SSEC ìíî Í ¤¥ âã VEC SKT»Ã áK\K]K^K_ M§a`cb α = (−0.044376, 0.083377)′,dKe SKTKf ] ( gKh )
á ]KiKj , kKlKmKn \K]Ko 0.013565Í
0.007707, pKLKM§ ρo
0.4917. q \K]^K_ M§a`cb áK_¢ `cb o α′
⊥= (0.083377, 0.044376). rKs IS SKT»Ã á âãä ¤çèKVÇKtKu (7), kKl
É½Ê ¢£ËÌ ìíî âãä ¤wvKx áKywzyÍ ìyíîy¤¥ ËyÌáyKz . K|K , VÇK~ÎÏ Ð ¥ Í ¤¥ , ÑÒ É½Ê ¢£ËÌÍ Ð ¥ ËÌá âãä ¤åæçè . ÆÇ KKX 2. X 2 , SSEC KKìíî ËÌKKKK âã à á åæçè áKy Kz ¨K e ¤¥ ËÌ , a ɽʢ£ËÌ âãä ¤»Ãc [KK ò áKK K ; ï Ð ¥ ËÌ pa , É½Ê ¢£ËÌá âãä ¤KvKx K , ¦K ¡ K âã á ¨åæçèKKl 80.043%. yK Ð ¥ ¢£ Y Ð Î á âãä ¤KvKx yKzKKo 36.5569%,KzK e 4%.
PT SKT ,
dKe tKu (9) VÇKk ËÌ ¦ K âã á åæKK . YKk K ï IS SKT á ÆÇ OK .
1 Ý VEC ¡¢SSEC E£þÿ SHFE !=£E£þÿ SSEC SHFE ¤¥þÿøù>¦§¨©- øù>¦§¨©- øù>¦§¨©-
LOG SSEC(–1) 1.000000 LOG SHFE(–1) 1.000000 LOG SSEC(–1) 1.000000
LOG HRB(–1) –1.001889 LOG SPOT RB(–1) –1.003268 LOG SHFE(–1) –0.740803
C — C — C –2.027559
@TREND(4/23/09) — @TREND(4/23/09) — @TREND(4/23/09) –0.000588
VEC ª«§¨©- VEC ª«§¨©- VEC ª«§¨©-Error Cor-
rection:
D(LOG
SSEC)
D(LOG
SPOT HRB)
Error Cor-
rection:
D(LOG
SHFE)
D(LOG
SPOT RB)
Error Cor-
rection:
D(LOG
SSEC)
D(LOG
SHFE)
ecm1 –0.044376
[–0.73815]
0.083377
[2.43770*]
ecm –0.065723
[–2.43005*]
0.014722
[0.75522]
ecm 0.020376
[0.73530]
0.078477
[3.19496*]3
D(LOG
SSEC
(–1))
0.092205
[1.08475]
0.532877
[11.0190]
D(LOG
SHFE
(–1))
0.153781
[2.32530]
0.243439
[5.10696]
D(LOG
SSEC
(–1))
0.105176
[1.13509]
0.113231
[1.37864]
D(LOG
SSEC
(–2))
–0.096302
[–0.98348]
0.134838
[2.42037]
D(LOG
SHFE
(–2))
–0.007101
[–0.10186]
0.100114
[1.99219]
D(LOG
SSEC
(–2))
— —
D(LOG
SPOT
HRB
(–1))
0.055862
[0.44935]
–0.234615
[–3.31712]
D(LOG
SPOT
RB (–1))
0.023234
[0.25499]
0.139703
[2.12722]
D(LOG
SHFE
(–1))
–0.071946
[–0.71331]
–0.005099
[–0.05703]
D(LOG
SPOT
HRB
(–2))
0.216920
[2.49810]
–0.009771
[–0.19779]
D(LOG
SPOT
RB (–2))
0.088072
[1.03368]
0.111013
[1.80768]
D(LOG
SHFE
(–2))
— —
C2 — — C — — C 0.001089
[1.27464]
0.000571
[0.75362]
1. ecm ¬®¯°± , ²³´µ¶®¯°±¨©-µ . [ ] B2¨µ¶´©-µ t ·¸,- . µ .
2. C %¶%>%¦%%%¹%¨%± . @TREND %¶ ø ù%>%¦%º%»%¼%½%¾%)%± . “—” %¶%¿%»%À%± . −i %¶%Á% i à , Ä%ÅD(LOG SSEC(–1)) ¶ SSEC þÿƳ¨®ÇÁ 1 à . 3. “*” ¶¨È 5% ÉÊËüÌúÍÎ .ÏwÐwÑwÒ
, É Ê ¢y£yËyÌ y¡ ËyÌyá âyãyä ¤ e à wÓwÔwÕww , Ð ¥ ËyÌ py¦wwÖ , wÓw×wØw . ÄÅKÙÁ© K ï Chu Ú [33]
á KÛKÜKÝ cÞ , ä ¤©Kß Kà . Chu ÚKá o , â© ËÌKãK ÞKä áKåæ ñðçÞKè ᢣ Ké Í ÞKê áKë q zKìKí , î ËÌ âãä ¤KvKx yKïKðKñ ÞKòwó áKôwõ . É½Ê ¢£ËÌ12. ö÷þÿ0ø2ù>¦ú® E PP ·¸,- . µÇû¬ : –6.903616 ü –3.236557 –3.95874. 5% ÍÎýËüþÿµ¬ –2.872586, 1% ÍÎýËüþÿµ¬ –3.455685.
13. Johansen ·¸ , DEÈ SSEC E£þÿøù·¸ , »þÿº»øùý , Çû³ VEC ª« , SC , : VEC ª« [30,32]. ; , Â÷þÿ VEC ª« .
56 , ¦ ; <33
ï Ð ¥ ËÌ pa ,åKæ ñKÞKè 14, × ô KKÖ ,
¢£ KéKÞKä . ! " äKY# Ò á¢£ Ké y$, % É½Ê ¢£ËÌ ÜKÝ ¢£yá&(' wé Í h)(*wKéy¨KÞwè , ©+KK y, è-. áy¢£ wé . ÉÊ ¢£ËÌ/K0Kë q zKì , ÁKß ë q12- ËÌá ä3 , 45- e 67¤8 á9: .
SHFE ÎÏ Ð ¥ áËÌ âãä ¤KvKx áKyKz ¨;;KèKÓ¤¥ ËÌ , ¨åæçè< 17.0471%. X
½Á© í Ð ÄÈÎÏ ¤y¥ ËÌ âyãä ¤»Ã>=wÓ?(@KÔwÕwK , ÎÏ Ð ¥ âãä ¤KvKx ò 15 .dKe
ABVEC SKT»Ã áC ÐD æE M§ , Ñ ä ¤ , ÑF á É½Ê ¢£ âã ½Ñ(F Ð ¥ âã ¦Kâ Ð á É Ê ¢y£ â
ã Í Ð ¥ âã áGHI ò÷ . JK 1 Ð á É½Ê ¢£ËÌ âãLMN 1% ÙOPKâ ÐÐ ¥ ËÌ âã 11.3231%á MN . JK 1 Ð á Ð ¥ ËÌ âãLMN 1% ÙOPKâ ÐÐ ¥ ËÌ âã 0.51%áQ ` MN , , Ð ¥ â
ã RÂ ¡âã ¨S yáTUVW .2 XYÚZ[\]^Ý_`ab
` —— cd IS ¡¢e PT ¡¢
gfih¤¥ E£ !=£ !E£ fih¤¥ =£ IS ª«þj 0.546062 0.049926 0.070266 0.729325 0.634431 0.033572
Ìj 0.950074 0.453938 0.270675 0.929734 0.966428 0.365569
üklmno 0.748068 0.251932 0.170471 0.82953 0.80043 0.199571
PT ª«p qh¨ a 0.652642 0.347358 0.183007 0.816993 0.793876 0.206124rst ·¸ b 958.3 27.6 15.3 1022.4 998.6 19.7
p µ c <0.0001 <0.0001 <0.001 <0.0001 <0.0001 <0.001
a.p qh¨ Gonzalo-Granger Q ·¸,- . 89·¸ . Q ,- .uv χ2(1) Çw ; b. H0 : ωi = 0; c. xy
z , p µk# 0.001,p qh¨û¹ÍÎ .
¡»É½Ê ¢£ËÌ âãä ¤KvKx á|~ : 1) É½Ê ¢£ËÌ - Iá ¡ ËÌ h . ÉÊ ¢y£yËyÌyáy¢y£ ( Þ Ð ¥ ËyÌ(( ,
w(( ÎyÏ Í( ¡ , ((( Ú( ô ì(yíyî ( Ú ; 2) È Ð ËÌá 67KÞ o( ò 16 ,:9 å d ÍQ( ; Kãw Þ( á¡(¢ 1
4(£(¤ , ¥yï(¦ (§(¨(©(ª(« ä , Õ(¬ ((9((®(¯ §(°(±(²(³(´ ¦ (µ(¶(·(¸(²(³(§º¹>»(¼(½ , ¾(¿(¦ÀÁ§ÂÃÄÅÆǵ¶ÈÉÊË ; 3)
ÌÎÍ ·¸µ¶§·¸ÏÐÑÒÓ Ô®¯ ²³ , Õ §Ö·×ÒØ .
¯Ù ÐÚÛÜÝÎÞßà , áâãäå §æ ¦çè ·¸ , éêëì 17, íî ÂÃïðñòôóõ·¸ö÷øùúû §üý , þÿ ЧÓó¸ÏÜ(Ó . Ó Ô ®¯ §²³ , ÓÏ §Ê§ÂÃ>ÆǶ . !" ôó ñòôó$#%ôó$&'§·¸()*+,ö²(§ÀÁ íî Èɪôó.- ¦ ªôó./0ª123ª , 4ä5 ÆÇÓ Ô ®¯ §°±ù67ÓÀÁ§- ¦ ; 4)8 Õ$9 7: , Ó ÌÎÍ ·¸µ¶ ÒÓ Ô ®¯ °±;Ê<ѧ=(É>? .
¯Ù ÐÚ@AÑB ® CDEF( =GHI>?ó=GJKL ) Ò(·(¸M(³;(ÊNO>?LPQ îRST , !" >? þ(ÿU Ñ(ÓVÔ óWK@1XYZ[ ÌÎÍ ·¸ßà 18 .
î\] §^ , @A¹`_abÓ ¦ =cBdΧef 1 g h , i Öj= , =cBd`ef 1 ¦ § ¦ cÀÁhklO§ t mno lOÒ 5.10696, pqrs , tu cBd`ef 1 uv =cÀÁhklO v t mno lOw î 0.25499, « rs , xy abÓ u cù=c î(ÿz Ü , abÓ=cù u c| îÿz Ü . !~ IS 1 PT 7 v ~ «P ¬ .
14. 2009 3 27 –2010 5 13 SSEC SHFE W , SSEC W138, SHFE ¡¢£W 4194.
15. £¤¥¦§¨©ª«¬®¯°±²³ . W´ : Foster[34] µ¶ , ¤·¸¹º» , ¼½¾½¿À£©ªÁ¢£Âà ; Chiang Fong[35] ¤ÄÅ`ÆDZÈÉÊËÌÍ¢ÎÏ , £ÐÑW¢£¤ÒÓÔÕÖ×ØÙ ; ÚÛÜ [36] ÌÝ , “ ¢£¥¦Þßàá½âã¥äåæ¤ç¢èéêë , ìí , î°±ïðñ«Ðòóôá½âã¥Âà .” Kofman õ [29] öW÷øù µ¶ ®úûÛ , üýWýþÿ££¥¦ï¢£ .
16. õ [14] §½¢£ , ¤ÿ¢£§ Ø , ïæ¤ `Æ!"#$% .
17. Ï· & (SSEC) '( “ ) Ø*+ ” ,- : “) Ø ” ./01¦2345 Ô67 ; “*+
” íÌ +89:; Æ +<=>? @A Æ +CBED Æ + FGHIJ Æ +KL "/@A .
18. MN , OIP QR«S BT ¡UVÒ ÓW ¤XYZ Ø MN[\F Õ] . SSEC M^§Ò Ó_`Iï ¡aICbEcdef g ̪ .
4 1 ¢ Ôh, õ : ½CbWø¡U¥¦ï µ¶ 57
4.3 ikjklkmknkokpkqkrksktkukvkwkxkykzkk|Engle-Granger k~mn ~k rk , k LME Ók u ó =cÀÁkQk 1% vrskk ß,kk k~
, k NCDEX Ó u óW=cÀÁkQk 5% vrskk ß,kk k~ . k , k VEC , x 3. ík lk ~k x 4.
3 LME NCDEX VEC LME ¡¡¢££¥¦¢£ NCDEX [¡¢££¥¦¢£¤¥Ô¦ §Í¨ ¤¥Ô¦ §Í¨
LOG LME F(–1) 1.000000 LOG IN F(–1) 1.000000
LOG LME S(–1) –0.990118 LOG IN S(–1) –1.008321
C –0.099591 C —
VEC ©ª§Í¨ VEC ©ª§Í¨Error
Correction:
D(LOG
LME F)
D(LOG
LOG LME S)
Error
Correction:
D(LOG
IN F)
D(LOG
IN S)
ecm –0.166099
[–2.49689**]
0.141391
[2.06222**]
ecm –0.041251
[–1.82883*]
0.024255
[1.28673]
D(LOG
LME F(–1))
–0.346824
[–4.32997]
–0.077655
[–0.94065]
D(LOG
IN F(–1))
–0.121659
[–1.74757]
0.192055
[3.30110]
D(LOG
LME F(–2))
— — D(LOG
IN F)(–2)
–0.247619
[–3.52506]
0.002727
[0.04645]
D(LOG
LME S(–1))
0.088434
[1.07076]
–0.102973
[–1.20971]
D(LOG
IN S(-1))
0.318970
[3.81252]
0.097875
[1.39984]
D(LOG
LME S(–2))
— — D(LOG
IN S(–2))
0.075837
[0.93179]
–0.133638
[–1.96475]
C 0.001836
[1.15449]
0.001694
[1.03358]
C — —
“*” û«ëͤ 10% ¬ÒâÏí®¯ . “**” û«ëͤ 5% ¬ÒâÏí®¯ .4 LME ° NCDEX ± Ʋ³´µ —— ¶· IS ° PT
LME ¡¡¢£ LME ¡¡£ NCDEX [¡¢£ NCDEX [¡£IS ©ª¸¹
0.133187 0.488065 0.171624 0.828376
Ï ¹ 0.511935 0.866813 0.652349 0.347651
â㺻¼½ 0.322561 0.677439 0.411987 0.588014
PT ©ª¾¿À ÷ëÍ a 0.459823 0.540177 0.370272 0.629728ÁÂà ÄÅ b 47.3 801.6 136.7 456.8
p Æ c <0.0001 <0.0001 <0.0001 <0.0001
a. ÇÈ ¿ û 2; b. ÇÈ ¿ û 2; c. ®úûÛ , p ÆãÉ 0.0001,¾¿À ÷ëÍ ®¯ .
x 4 ikÊ , k LME Ë u c1 k NCDEX kËu c vkÌkÍ j=kÎ kÏkÐkÑ =c . ÒkÓ 4.2 Ë u cÕÔÕÖ ÌÕÍ j= vÕ× ~Õ , iÕØ , ÙÛÚÝÜÕËÕÞuÕß ÔÕÖÕ ÌÕÍÕàÕáÛâÝãÕäÕåÕæÕçÕèÕéÕê , ÌÕÍÕàá Îkëíì äíîðïkékàkñkòkó .ôkõkö ÙkÜk÷køkùkß ÔkÖ ËÕÞkùÕßÕÌkÍÕàÕákÐÕÑÕákß ? ú ôkõkö ÙíÚðËkÞkùkß ÔÕÖÕûküÕýÕþkÿ å
, kÌkÍkàká Îkë ÐkÑkákß ÔkÖ ? kÓkÙíÚðÜkÞ ÔkÖ ó .
1) kÞ ÔkÖ à . âðÙ!"# $ kà%& , '(kê GDP )kò*+kë,-./0 Þ1 kÿ. , ÙíÚkÞ ÔkÖ23 "# à4kèíâ . 5kà6kÙ78ké9: ; àkù< , => Ø?@)A ôB , CDkÙFEGIHJKLMkÙ7NOPkàQRSTU)A , VWX 0 Þ1 Y:Z[\]
19, ^_ , VkÞ`abkè cdefgh .
2) i)ATíâ cdj kÞ ýkþklm . 2009 nokÙp .q 7irA) ÿs åtÕÙ) ÿ19. uwvwxwywzww|ww~wwwwwww . 2009 , wzw|ww~ww 5810 w , w 36.4%; w 15 zw~wwww 11770
w , w 29.8%; w~ww 8750 w , w 26.3%. uwvwwwww – wwwww (Arcelor Mittal w / )2009 w~ww 7320 w , 2008 ww 28.14%.
58 ¡£¢£¤£¥£¦£§©¨£ª£« ¬ 33
24.43%. 5®GIHFE°¯±FE°D± q. i²³ 2007 n ) ÿ´µ¶ 6·±¸¹) ÿ 74.77% E 88.93% E 52.9%.
â±irA > ÿ = , º»¼ , Tíâ ½ , ¾ ýkþklm¿ VÀ $ . à6±7¾ÁÂTíâ $ , ¾ ýkþklmà À ½ . ÁÂÄÕáÅ)ÆÇJ kÈ rA ( 8ÉrA ) Ê , Å)ÆÇ 2ËÌÍ áÎÏ`ÐÑÒÓ`a . ÔÕÖ× ØÙ LME ÚkùÎJÛ NCDEX ÜkùÎÁÂ`akàkáÝ ëf CÕáÎÁ ÔÞ ß ¿à .
3) ùβ³ ¿ Váâ kýkþ ÐÑ cdj ¾Å)FE kÈ 8*ãrAäå æ Ê m . 5çè ýkþ Á éê m , ëìíî 2 7¾rAï ëð Éñçè ýkþòóôÍ E àõ¾`aJö*÷ , ^_¾çè ýkþÁ ¿ VkùÎ`aV¾øÔ ù `a úû À= .
ØÙ LME ¿ü , Û NCDEX ¾kùÎFE áÎÁ òýþ ÷ úûÿf. , Û ¾kùÎÁÂ`akàkáÝ ë; 65%. 0 ^ ë Û p=nkó À , ´ ÷ ô “ q ± ” 2 . : ; , iA e À . . ±¸V¾ YJkò ÿ23 Äkò è 20 .
È; < > , LME < 1 ù ùÎÁÂ`aV kùkùÎ`a!:À h"#%$&' É , '() 1% N*+ kùkùÎÁÂ 34.68% () , ,- LME ÚkùÎÁÂ. " +/ #%$ & `a ý0 ' É21435ké , 6 , ûkü NCDEX < 1 ù ùÎ`a f C < 1 ù Î`aV kùkùÎ`a cd78 , 9 , < 1 ùJ < 2 ù ùÎ`a ýkë V kùkùÎ`a+·/ #%$ & `a ý0 ' É . < 1
ù ùÎ`a ü% < 1 ù Î`aV kùÎ`a cd:. . ; , LME J NCDEX ¾kùÎÁÂ ìðë+· 2 Ï `a< # ' É .
5 =?>?@?A?BHC ð É3DE^è kÿ »UV±¸¾çè ýkþ ÁÂFE ùÎÁÂJÎÁ , F - ±G . ¾kù
Î Á Â ` aHH Ý ëHI jü À µHJ , ì ò jK ± : ¾ ` aHHÝ ë , , i h ± B ß . LM ßCN :
? 2 , çè ýkþ ÁÂFEEùÎÁÂJÎÁÂ`aO ¿ !:PQ .
¾çè ýkþ ÁÂJkùÎÁ ÎÁÂ`a ûÕüR ù¸% ëSTUV , 9 W ùkóX , !:YÏ . ZYÏ ëì¾ñç è ýÕþ ÁÂJÕùÎÁ [ ù\ Jº]^_Ý ëÕë ÀÕïÕéÔ . ØÙLME ÚkùFE`ÎÁÂ`aJÛ NCDEX ÜkùFE`ÎÁÂ`a4a e78 é!:b 2 PQ , ,-±G¾kùÎÁ `a Î`ac d S .
?e , : ± , çè ýkþ ÁÂ ¾`a þf:këg øÔhi`abkè .
=nÕó , ./ Çjñç è ýÕþ Á k ùlm ýÕþ µno , ÁÂp q$ , rAVñç è ýÕþ Á rQ ës Gutv . w Ôx yJoz ÔÞ µJý ,- , ± ¾çè ýkþ :ZJ| , ~÷ j îðï `aÝ ë . ¾kù EÎ`a ¿ü , çè ýkþ ÁÂ`a þf ' É :h , F 'kô Î`a ùÎÁ ýkþ `a <8W .
?@ , ±Õ . ¾kùÎÁÂ ¿ü , o± ./ Çjçè ýkþ ÁÂ`aÝ ë ç .
ÔÞ , ±¸%G¾kùÎÁÂ`aÝ ëÕÿf$ , ùÎ`a fkë hi¾øÔ ù `a . ¿ü 4N , ±¾çè ýkþ ÁÂ:¾`aÝ ë ,kç , ëgg øÔhi¾`abkè .
? q , Ì É `aÝ ëµJ Ð f E , ë ìkò f E ß .
È; VEC »U R ù l > , ozì· IS »UJ PT »U f E ß : SHFE kùÎVÎ *< ' É , 5ÎVkùÎ *< ' É ; LME ÚkùÎJÎÁ `a ý ë hiÁÂ`a . )Å f E ß 2 ë , IS »UJ PT »U 'kô 0kÿ `aÝ ë Z B Ð , f 4" . w ò þ ÷ ÿf2 . þ ÷ ÿ2mS ó q. . < ûkükë ìkò `a úûÿ , 9 :Ö×N , e2 Ï U . oz 2 O , fkë # È; l IS »UJ PT »U , ó¡¢ÁÂ`a úûÿ , 5 £å µJ VEC »U , ¤=¥ Á `aÝ ë .
20. ¦wuwvw¨§w¤¨©¨ª¨«w¢w , 2008 , ww|ww~w 5505 w , ¬wwuwvw¬¨ww~wwz . 2009 w~ww 5660 w , 2008
¨®¨¯ 2.8%. °¨±¨²wuwv¨³ww~wwz 2008 w¨ 1993 ww~ww¨² , x¨´ 15 ¨µ¨®¨¯¨¶ww¨·w¨¸¨¹wz , ®¨¶w 458.96%,º¨» ww , ®¨¶ 203.22%.º¨¼ wzw¨®¨¶¨½¨¾¨¿ 70%.
¬ 1 À Á¨Â , à : zÅÄÇÆw¨È¨É¨Ê¨Ë¨Ìwx¨´¨Í¨Î¨Ï¨Ð 59
W#HC ÔÞ ß , oz FNÑP ¿ ÒÓ :
1) ÒÓ i)AÔ ÷ pÕ Ö./ içè ýkþ%× (SSEC) ¾`a <Å) Ønl , Ùë º]`a l ó ^_ .
È; ÔÕ > æ µJ , Ì É Ú `a¡¢ÛÜ , ozçè ýkþ ÁÂ`aÝ ëÝ #kùÎFEÞÎÁ , `a ëg 'kô <¾A Ønl Ï` ß , ¾`a “ ^ #%à ” J “ áâ, ”. ^_ , V¾Å)FE kÈ E *ãrA5ã , FpÕ SSEC ¾`a , äå¾`apæ l# Jçè é
, ¤5V B ê 0 1Ciëì`aJ¾íîj Eïîj`a I ¿ðñò Jó¡ , I2 <Å)J Ønl .
2) ôõöO÷çèøùÁÂú`a þf ' É , äûüýLþÿ,úûÇjçèøùÁÂú s , æÊ , øùú .
%çî ú û"!#$"%&"' , (ú)*+,-üý./'0 , 1 23"4"5""""6"7"8"9":";"<"8"5"" , =">?A@""B""""?A . C"D"E""""""?Aú"F"G , HI
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