Minimal variance hedging for fractional Brownian motion.

(1)

"!#"$$%$

&'(*),+-/.001.32114.1 )658792

&'8'):4+4;.8-<1= >?@A8?BCD-$44-

EGFIHJFIKMLONQPRLOSTFILOHJUWVYXJVWZJ[OFIHJ[]\^OS_\STLOUW`TFI^OHaLONQb_ST^dceHJFILOH

Kf^O`TFI^OH

g:hjilk,mnojmiqpsriutlrk,rvw psnhjkyx{z}|~ojnk,,il*w8*w

J

t

o xuulu

/ Wj"3:u3j3 ¢¡£3¤¦¥§ ¢¨3£" ¢©Ouª«j¬¢j¤

®

¢j¯¯d°

®

"3±²¦³jj3j¤D´

µ¢¶¸·j¹ºj»¼

ª«j¬¢j¤

µ

"¬¢©

½

¢¬¾,¿ ¢j ¢ ¢À°²¢Á ¿¸²¢

Â3 Wj"3:u3j3 ¢¡£¤D¥§ ¢¨3£" ©OuÃ£"¬¢

ª,*Ä

º¹

´Åª«¬ ¢°",¤¦Æ§Ç

¹ Å ºjÈ

ÃW£"¬¢j¤DÆ³"ÉÊI©Ê¤

½

¢¬¾,jË£"°j¬¢Àdj3²¢Á ²¢

Ì3 Æ§j3É« Í±¡9¬¦

½

¡ ¢¡£Î°Ïª,Á£" ¢£"£:Ð§° ¢ £"3"3 :¤

Ñ

¬¢¬¢¨ ÍÅ

¹

¤ÒÆ§Ç´

¹·

´Óª«3j¤DÆ§j3ÉÊI©

ÔÊÕIÖ¸×TÖÙØÚÛÜÕÝuÞuÞuß$ÞàâáÚãÛ

s ¢j¬D¨Ij3 ¢j¡° :3j¡" ¢¬¦ª«"IÉ, ¢jÍdj3 ¢j

ä Ö¸ÕIÕIÚ¦Ø×TÖÙÞÛ:ß$ÞàaãuÝåáÖ¸Õ æ

"¡£"¡dª, ¢j ¢

Wj"3:u3j3 ¢¡£3¤¦¥§ ¢¨3£" ¢©Ouª«j¬¢j¤

®

¢j¯¯d°

®

"3±²¦³jj3j¤D´

µ¢¶¸·j¹ºj»¼

ª«j¬¢j¤

µ

"¬¢©

½

¢¬¾,¿ ¢j ¢ ¢À°²¢Á ¿¸²¢

ç

¬¢jÁR¿¸"¾

¹j¹ Åjè

¹ ´ º»j¹

è

··

´jè

æ

ÄOÁé¿¸3¾

¹j¹ Åè

¹ ´ º»¹

è

·j·

è ¹

(2)

î

Í° ¢£"¡Á£"£"ÍÄ"£" ¢}"Ò3ÍéÁ¬3 ¢Ç° ¢£" ¢jj¬,¡£"Íj§3

î

¡9ËÇ

µ

IïÒ ¢"j3j¬

É: ¢3}"£"¸¡3Ò3j¡3 ¬:ª«"IÉ, ¢j}dj3 ¢j¤§ 3"°Á¡°}¿©qð

Èñ ¢}"

º

Ç° ¢£" ¢jj¬

¡j£"²

î

³"I¨³RRÁ¬¢" ¢Ç° ¢£" ¢¬

µ

IïR©¸³ ¢£"jd3"©,£3Á¡9O ¢3"¬£3¤DÉ, ¢¡9O ¢£,Á£"°

¢ò3ó":j:3OéÁ¬¢3 Ç° d£" ¢jj¬

µ

6ïs"éÁ¬¢j²

ç

O3£"Á¬¢"£R"O¬¢ °ò3£"3Á°©

33j¿¬¢ôjÊ ¢ ¢¬T¨Ij3 ¡° ¢Í ¢aÍ"Ë°" ¢¨jÒ¿©"¡3 ¢jj¬Tª«"IÉ, ¢

" ¢£"²

õ÷öòøaùúûúûúÍüýyþÙÿ ûü9ü~ü ú!#"$"&%Ùø'()+*

ê-, ù./

0 213(~ü(5476'üü8-'9)

,

'1 :;-)<>=?'9)A@'B&3üC$><D$E &DFG

H67(II&E57C$4J9Kü/

L MON5P)QSRUTWVWXPZY[R&N

@\6H=?-E'1I&13H^]`_ba]

9c

]

Â-cdddOc

];egf~þC2\hUGi(j$~ü)A!,ý7üF-16\C$G

4C>jüH];klma

Â c ê

fA=?-HnH_

ê c ù

cdddOc

h+<S(o13&2prqs

atf$_uap qs

atvf

cdddOc p qs

e

atvffÎþCw

h2Gx( ;~ü-Z9Ayzj{}|[~i?}7{A3zj}#7?{}r}~x?aDph+f16!,ýjü4Z9'$\]\/+)6"ü$~ü

6)Up

qs

atf_p

qs at

cj

f%t&l;<

lm3üHrýýÊüHý~ü9ü ü?>6)ü&47ü9ü

(\4ûþ)þ {ü4)2a

cj

qs

c

fZ16$

H

p qs

atf?)_ úH_p qs

a9úf =?-rt a ê /ê f

(\'F

H

p qs

k

a[fp qs

atvf?Z_

Â Â sZ¡¢

t Â sZ¡£

£ t Â

s)¡ ¤ k a ê

//ùf

16

¤ k _

ú¥=¦nH§_©¨

ê =¦nA_©¨&% nª«n

c

¨&ª©h

c

16

_

¬

(üZ6H>4C'\16\ü4®&6H4ûþ)þ 2j1

=p qs a¯f/

@E«613(~ü<p qs

atvf;-Êü?3üjü;=h¦(4C(>

ê

Gi(j$~ü)=?')

,

'1

$~üA16°!,ýjü;4)'-;jüH]

cdddc

];e$<®ü4CF/@=];k3_

Â

=?±n9<C67°p

qs atvf

7(üS16o ûü9ü

,

'1 °$°pra?tf/;²+^=?

êûê

j<

ê³

(

ê

.Z=?$^G

=?'&:þCûý

ê

Gx( $~ü?)ph /

,

ý~ü?H=)EüZ47-4CEüa?4Cjü?"ü?7´4Cjü?3ü

( ü=?Gü $ Of2ph¦6ZüþC üýII-ü?(µûüJÒý~ü=ý^&69>>E¶&·4G

4E-Êü<)/ý(IW)

ê

ú /8-D$4><)6ü2=> ý7ü=rDphMü«44CE

6rI-Gx9ý~üS=éü?>9KÙü ê

. <7w136$(7FF5$>("ü ³

(wWj54üS©

/þC'9(5 +&K

ùûú9 /

@EWF>1¶=S673üA;3üA=Aü?U(F-4°4C'13=ý±6ý/ý~üA=?JDph+/J¸#=?9ý)><

Dph¹3ü®gRü$ 97I®gRöW9K'F4>ü9ü±aý7ü9üS]$k)_

Â

=gºnf<yü?6ü6ü

7-ÎþC&9474(J\Dph+/!#'13F'<=3]$kZ»

Â

626g4)6~üO6)Fg¼½ý)('gF

(\3üZ67=?H4C¦ü ü?/þ7H(72$¾º{~x¿}±?À9Á^?7~iÁ9Â[zj{}Ã<>((aþ

Ä

at

cj

f¤ p qs atvf

c

(3)

ê ³ ê

ûþCòøÆ''F>962j4C&a? //Çx('$3üÈCfDEI'2 ý7ü/O47&6$4C'9E-2=

üý96o>I'9"üS"üS7-súU(o;3üAK7'1°a

ê ù9 <

êÉ

<

ê

<

ê

* fS6Z96Ïý~ü?^=S6ü?^I-'3ü

b)+1EIF°&Kjür16u{}zÊ?~xzj{}ÂÁ[<gFE6$ ü?Òþ)ûüo>ûü?ü/Ë@E='<63ü

ý74ûü>éü9ý)E-Wa?=?®ÌH;(IH4C>#=CFE1fIýjü167F-#13ý~ü?r&EI'

6-216Qø''9'F>65>I'59ýEüZ\6HI'\=)136\=C$4C=?-E®/ø'

/I®/Z6ü? ;4HO-;4üZ= Í 3( ê

*9 /

, ý~üW=63üÎ·(=ÜüF';6Uûü?~üÎU"ü)9ý';°6Uj4Cü=

>I'9E-°16«ü?4Cbpgh+/¶Ïº2Ð

ÑÂ

Ò

þC6âüJ=a$>üý'þf4>ü ü?ü2Ca¯

c

¯Óf\

Ôo°ÕÖ üý6\6) ×

2Ø-

ÙËÚbÛ

<>16

Â×

2Ø-

Ù

_ Ä Ä

afatvf

EÜ a

c

tvfÝD7Ý}t

¢ Ä Þ Ò

a?tfÝ}t

Â d a ê /³ f

@

3$²KG@'B& >4CH-=ZI-'O3üZ~ü9ý(Z<((aþ

Ä

at

cj

fÝDp qs

atvf

c

16p qs

a?tf#"ü;

ê

Gx( $~ü?)gDphß16°]àl°a

Â c ê

f/^Z63üS>I'9Z3üjü;ûü;W>$>

=&á Â a

fg=?\a;ûüý'þ>fg4ü ü?üa?t

c

fÏüý66) ×

2?Ø-

Ù

ÚâÛ

/°!#<g(6

=?'1EI®<

Ü

a

c

tvfS_

Ü s a

c

tvfS_·]a9ù}] £ ê f £ t Â sã

Â % a

c

tvfSl+

Â c

Â Ú ] Ú ê a ê /Í f

(

Þ Ò

®ä

_ Ä Ü a

c

tvf

Þ;å

ä

ÝD a ê /É f

(ü#67Òöw F>

Ü

Gi(7FF=

ä

a9ü

<ZæS

³ /Í

f/@=$at

cj

f#3ü;ü?4w47ü9ü

=)6H=?'

Cat

c

f#_èç

ké

kêa

fëì

¡Ñ ¡í 2 atvf

c

16·t

Ú t Â Ú

¯¯[¯

Ú t

çvî

3c

a ê /f

( ×

2?Ø-

Ù ÚbÛ

<6\67HI'D"üZ(7(aþ

Ä

at

cj

fÝDp qs

atvfS_èç

ké k a fºïrap

qs

at kî f £ p qs at k ff

c a ê

/ðf

16rïJ(7-ü±67²K54>(yý'/3²+6)F67=?'1EIsþ)ûü?44Cü#=±6²KG@'B

>I'9j

Ä

Cat

c

fÝp qs

a?tf _ ú =?-r5l5Ð

jÑÂ

Ò a ê

/.f

Ä

a?t

c fÝp

qs

atvf

Ä ñ at

cj

fÝDp qs

atvf _ c ñ ×

2Ø-

Ù

=?3

c ñ lÐ

jÑÂ

Ò

16 a ê

/*f

c ñ ×

2?Ø-

Ù _ Ä Ä

a[f

ñ

atvf

EÜ a

c

tvfÝDÝt

¢ Ä Þ Ò

atvfÝt ¯ Ä Þ Ò

ñ atvfÝt

d a ê /ê

úf

(4)

Z63üD²KG@'B=?')76ý/ý~üD1HüÎüýDþ~ü?½ý^>((U167-"ü?Ïü?7IU97(

44(wJ)

*9 /Ï$63ü#167-"ü?651Hûü#I[¼(wo]âl©a9ú

c ê f,þ

ð /

õ;6UþC'F4)4Cjü

<

*(

ð5(1E66

ê

Gi(7 $Êü?)ûü/@âø'âù

=673ü4)4Cr132(3ü?6ý~ü9üg62>~ü:=63ü>I'AW6Uh2Gx( $~ü-Z93>ü<) />/\1A

(3üIý~ü üZ6H>I'9

Ä

at

cj

fÝDp qs

atvfS_

e

ké Ä

kêat

cj

fÝDp qs

k

atvf =?¶U_·a

cdddc

e$fAl5Ð

ÑÂ

Ò

ah+f

16p qs

atf2_òap qs

atvf

cdddOc p qs

e

atvff;3ühUGi( ;~ü)rDph <

Ü

_òa

Ü s 2 cdddOc

Ü

sZó f97(

Ð

jÑÂ

Ò

ah+f>3ü>6#ü?4C(7Ijü ü>=>I'(~üOa9ü$a9ù/

É

fþCÆ1f/D²+#4'F#6Sh2Gx( ;~ü-Z9

)Iûý;=67;3ü?C;+a

ê

/*f<}166U9ý~ü)ý73^6)F÷üC$Rý74C(U=?>99ý7üa9üZ6G

ù/ê f/ , CWþ7I567WýEEGi( ;~ü)Z=?')g@'BU=?'WýjUa)67 ù/fS16

Z6eù/

ê

13Hþ7[6='E-Z93@'B&3üC$+a)67eù/ð-f/87E)9E<>1AH( øÆG

òù§þ>4'F>I23=?')>I'9Íþ>r4)jü=?'Wý HaZ6 ù/*H9(W)6 ù/

ê

úf/

@EJø' ³ 1394746þC'Füý7jü®sü?9ý(7647þ7°=±$j&ºF9j96(II

a?4C ü ü?/þ+C$4Ef&K(7F- þ+hUGi( ;~ü)Dph+/+!#J1AsýÊü?J=?')

&6>&$9KU$(7#>(yý7(Üþ *$(Üþ ð /8ÆH ûü9ü

,

'1 ;-~ü

a( ü$ 9ICüf)63ü)4ûþ>6)ûü~þC ü?9ý(E(Òþ+&2ü?>96jü/Wø'=?-D$4

6aüýF

ê

ð97(w67r=?7üS67Z/r@E$9ýÊüSý7$6);=?-JDphß63üS4ûþ>Ì3üSF

6)(6)556 ûü9üDûü?J(556"ü)4)4C1AH' Íü?4C Dûü?H5-(

&Ir$ü?4CHüýjü/

ô õ VWö[PZY÷TWY[øúù;NWûZY[R&NwüröUý Y[XAþU÷MOPrÿRàY[NUPZù&QSüPZY[R&NËYP QSù;ûù$XgP

PZR

ÏºWp qs

atvfJ_ ap qs

atvf

cdddOc p qs

e

atff%twlÌ$<

luÓþ®h2Gx( $~ü?)rDph 16!,ýjü

F-&] _a]

9cdddOc

];egfla

Â c ê fe

<ûü±âø'

ê

/Rø'76\p qs

a¯Ófg(74C(7'<1A

&wIC9(°¶ûü47>(yý_u

Ô

Â

Ô:¯¯[¯OÔ:±em=SE(>EZ4ü

=Rü®;¶97(

1

_·a

³cdddOcj

e$fSl /

Ïº

_ qe Ñs

þC^6G9I6þ'I'9(}þ}p qs

a

c

¯Óf%[&l«

c

_ ê c ù

cdddOc

h597(

_ qe Ñs

þC&67G9EI-6þ'rI-'(Üþ}p qs

a

c

¯Óf%6ú\ª`Jª¶t

c

_ ê c ù

cdddc

h-/@=

ä

°Õ «3ü

G9;ûüý'þ><

ê ª

ª©h+<>13sü

Þ Ò Ñ ä _ Ä Ü a

c

tvf

Þ Ñ ä

Ý}t a?=)6H>I'9O>F-Iüf a9ù/

ê f

16

Ü

_ba

Ü

cdddc

Ü

e$f a9ù//ùf

Ü a

c

tvfS_

Ü

s a

c

tvf#_]

a ù}]

£ ê f £ t Â s ã Â % a

c

tfSlo

Ì

c _ ê c ù

cdddc

h a9ù/

³ f

(

Þ Ñ ä

_!

#"

at

c

f3üg6{öw F(FEF-2=

ä

16ü4®r

<9\at

cj

fra?=

>3üüf/

(5)

, ê

\(H62Wý7Gi(j$~ü)D=?')O²KG@'B&>I'9

Ä

at

cj

fÝDp qs

atvfS_

e

é Ä a?t

c fÝp

qs

atvfSl:á

Â a f a9ù/Í f

=?'$µÔ

G$>üý'þH4ü ü?üat

cj

fS_·a

at

cj

f

cdddc

e$at

cj

ffAlo

e

üý6\6)

×

2?Ø-

Ù ÚbÛ

=?-r

_ ê c ù cdddOc

h+<>16

×

2?Ø-

Ù _

Ä Ä a[f

atvf

Ü a

c

tvfÝD7Ý}t

¢ Ä Þ Ò Ñ

atvfÝt Â d

a9ù/

É f

æA^6Jü;=üý6+h2Gi(7 $Êü?)±4ü9üüHaþwÐ

jÑÂ

Ò

ah f/dõÍüAo6

ê

Gi(j$~ü)

ûüH1AHûþ'\6H3ü?C$ü

Ä

ÝDp qs

Â _ ×

2?Ø-

Ù % _ ê c ù cdddOc

h d

a9ù/f

Z63üH3üH> ý7F©>'<düw13©aþ©7(4C7(w-=Up

qs

cdddOc p qs

e

fH>J6wG

&EI ü?>6)ûü?+F þ7ü

³cdddc ã

9cj

î

cdddc

eàûür4)'-;jü\(b4C\67

ê G

( ;~ü)A44C96\\6

F þ>/@"ü3ü&ûü?2&47'F-2a9ù/f)IýÊü?þ21I

at

cj cj Â cdddOcj

e fûür& $=óüý)Íü-=47(yýjü==ý-Êü(4C(EIwobat

c f

(\2:a

³cdddOcj

ã

cj

î

cdddOcj

e$f<ü?4CF/

@EwF1=±63üS$3ü#>g6)$=;w_¶a

9cdddOc

e$flWÐ

jÑÂ

Ò

ah+f<76w6r²KG@'BJ>I'

a9ù/

Í

f)3üZ13EGi((ûü5$-=gá Â a

f97(Òþ> a9ù/f)13H6)F

Ä

Ýp

qs ( - q¬ ª e

é × 2Ø-

Ù d

a9ù/ðf

@3üÎý~ü?=ýZU6ZF-o4747ü9üW=?;6^'¹W6^=6)( ü?(^=&a9ù/ðf/)6

=?'1EI&=?'Wý ;3üZûý&\üý-=Z63üü?)

)+*&,.-0/1,.2436587:9<;>=&?8@BAC1D&AE2,.F&G1A8-6F&HI?KJL/MHINO@BA8-6F&HP?RQSA8NUT.C1V#@XW-V#GB-62,.@/MYV!Z

[ Á[~3

c ñ l5Ð

jÑÂ

Ò

ah f]\^)¿}Á[

Ä

ÝDp

qs ¯ Ä ñ

ÝDp

qs _ c ñ ×

2?Ø-

Ù qe

a9ù/.f

#¿}Á[zjÁ

c ñ ×

2?Ø-

Ù qe

_ e

é Ä Ä a[f

ñ atf

Ü a

c

tvfÝ7Ýt

¢ e

Ñ_é Ä Þ Ò _Ñ

atvfÝ}t ¯ Ä Þ Ò Ñ ñ _ atvfÝt

d

a9ù/*f

(6)

c c ñ _

\6H ûü?'ÍüZ=)6HI6>6)(Qü?E(H-=a9ù-/*f/

7&4'F2)67eù/

ê

13H4(ûüZ 9j<þyý71E6\62444 2$>(~ü

@Ew6

ê

Gx( $~ü?))>ü<7á ÂÒ

þC67Òü?$=±(7';3ü?r=ý~üdcC¶Õ üý6

6)

a8c

c

cf

Ò

_ c ÂÒ _

Ä Ä

ca[f8catvf

Ü a

c

tvfÝDÝt

ÚbÛ

d

a9ù/

ê

úf

@=Pc«l:á ÂÒ

6rec«l5Ð

jÑÂ

Ò

/3!#A13A(A6gf&?|1hra?æS>9~üG9æf)Á1i¾º7Á[7~i?{}

j a8cfS_46k

Ä

catf?ÝDp qs

atf _4

Ä

catvfÝDp qs

atvf

£

Â c ÂÒ d

a9ù/

êûê

f

ø'H/IC/ <Oa

³ /ê

f?O *<mlD$47

³ /ê ú /

øÆ $ <O 6Wý( ;~ü-Z9S>ü134yý

Ü

_a

Ü

cdddc

Ü

e$fH( 135á

ÂÒ

þC6

üU-=U$(7'$E3ü?W=ý7~ü+cà_ a8c

cdddOc

cZegfW Õ e

üý6m6)c

l á ÂÒ

=?

_ ê cdddc

h /@=c«l:á

ÂÒ

13H(767ü?4C(7I&²K2>4C-7j9

j a8cfS_>4 k Ä

catvfÝDp qs

atvf _>4 k e

é Ä c atf?ÝDp

qs

atf

_>4

e

é Ä c atvfÝDp

qs

atvf

£

Â c ÂÒ c

a9ù/

ê

ùf

16

c ÂÒ _ e

é Ä c a[f8c

atf

Ü a

c

tvfÝ7Ýt_

e

é c ÂÒ d

a9ù/

ê³

f

Ïº

j

þCH6HOü?4)\=

j

a8cf%nc«lá ÂÒ

/Z6\13H6)F

)+*&,.-0/1,.2436583o9Bpq6rR)+*,.-6/M,.24s65876t8Z

j ?À{u}Á7À9Á^Àwv>Ê[À9Á~3vy$ámx[a

Wc

f]yCy}zH{?nz{

ê \

(

)+*&,.-0/1,.243658so9Bpq6rR)+*,.-6/M,.24s65836t8Z

[ Á[~

ñ

k)_ba

ñ k

9cdddOc

ñ

kÃe$fAl:á ÂÒ

y}zn3_

ê c ù

cdddOc}|

Àwv>|[¿2~x¿}{~

ñ k £ ñ Ò

§_ ú y n§_¨

c _ ê

cdddOc h d

a9ù/

ê Í f

^)¿}Á[ j añ f

cdddOc j a ñ ç

f${}zjÁr?7Á9{}z~?Iu}Á¾ºÁ[PuÁ[7~A?oá Â a

wcj

f]\

@E=

ä

l:á Â a

Wc f9(

ñ l:á

ÂÒ

13H4yý'<OûüZ 9j<

Þ Ñ qw

ä _ Ä Þ Ò Ñ ä ¯ ñ atfÝ}t

d

a9ù/

êÉ

f

² g3üdü®;ýÊü?=ýC(C o(2²K^47(yýA9ýü/)6$4=9ü3Ïü $ A6

ê

Gi(7 $Êü?)D>ûü?2(9HC$()/

(7)

,X22Hg3658 [ Á[~35_ba

9cdddOc

egfAl:á

Ò y ñ _·a

ñ

cdddOc

ñ

egfAl:á

Ò

\^)¿}Á[

9}A8Z Þ Ñ q e

ké Ä

kÝDp qs

k

_·a

c ñ f Ò y _ ê

cdddc hy

#¿}ÁzÁ

a

c ñ f Ò _ Ä Ä a[f

ñ atvf

Ü a

c

tvfÝDÝt%

_ ê cdddOc

h c

a9ù/

ê

f

9}A8A8Z Þ Ò

Ñå e

ké Ä

kÝDp qs

k _ Ä

a8Zf

Ü a

c

)fÝ.

_ ê cdddOc

hy

9}A8A8A8Z Þ Ñ qw

j afS_ j aCf¯a

c ñ f Ò _ ê

cdddOc hy

pA8mZ Þ Ò Ñå j af#_ j af¯

Ä a8Zf

Ü a

c

)fÝ.

_ ê cdddOc

hy

9}Z

j aCfºï j a ñ

fS_ j a

¢ ñ f

9}A8Z

ä ï Ä ñ ÝDp

qs

_ ä ¯ Ä ñ

ÝDp qs

£ Þ Ñ qw

ä y _ ê cdddc

hy

¾zjO[u}ÁwuU~i¿}{}~

ä

lá Â a

Wc f${}Pu

Þ Ñ q ä l:á

Â a

wcj

f]\

9}A8A8Z H

j af¯ j añ

f?)_>4)a

c ñ f Ò \

² 7'1b9ý562WýEEGi( ;~ü)D>ü/Z²+H1O4'F

,X22Hg3658

v[¾¾º}À9ÁRc

lá ÂÒ

yI

_

l:á

Â

ÒM

y Þ

_jÑ q ä l:á

Â a

f3{}Pu

Þ Ñ q

6

l:á Â a

f]\^¿}Á[

ä ï Ä c ÝDp

qs

¯ ï Ä _

ÝDp qs

_

_ a Þ

_jÑ q ä f¯a

Þ Ñ q

6

f ¢o¤

_ ä a8c

c f Ò c

a9ù/

ê

ð-f

#¿}Á[zjÁ

¤ _ _ ê y _b

ú ~x¿}Ázv±?À9Á

& ²+2()467JIûý)$ 9O&62ýGx( $~ü?)Oûü?>

8®jüH6)Wþ>+$(~ü?j+9Iûý);13J+ûü9üý)$H6)

ä _ j af#_>4

Ä

CatfÝp qs

atf

£

Â ÂÒ

(

_ j añ

f#_>4

Ä ñ atvfÝDp

qs

atvf

£

Â ñ ÂÒ c

=?óü®;U5l:á ÂÒ < ñ

l:á ÂÒ /

(8)

6>¦ü

¤

_·a

¤

cdddc

¤

e$fAlo <.o_ba8

cdddc

>e$fSlo (24Dý

¤

Ô\5_ba

¤

cdddc

¤

e$e$f

( :Ô

ñ

_ba8

ñ

cdddc

>e

ñ

e$f/Z6aþ+Ïº>&&÷ù-/

Í

H

aj afºï j a¤ Ô¡cff¯aj añ

fºï j a8:Ô¡3ff? a9ù/

ê

.f

_ Hj a

¢o¤

Ô¢cf¯ j añ ¢

:Ô¢3f?Z_4)a

¢o¤

Ô¡c

c ñ ¢

:Ô¢3f

Ò

_4

e

ké Ä Ä

ak ¢o¤ kcZk fa[fa

ñ k ¢ >k®kêfatvf

Ü

kêa

c

tvfÝDÝt

d

a9ù/

ê

*f

²+H'1b®;4yýH6H(ûýyþH(FFü

£ Â

£ ¤

£0

_

=a9ù/

ê

.f(a9ù-/

ê

*f ¤ _o_ ú/)²+H("ü?Iûý3ü6aþ® 13\ 13&>ûü?ü

¤

HPGB, 7

§_b

Z6\=)13H(C 2a9ù/ê .fZ1AHI

£ Â

£ ¤

£0

_ a j afºï j a ¤

Ô¡cff¯a j a ñ

fºï j a8:Ô¢3ff ¥

é6¦éP§

_ £

£0

_ j afºï j a¤

Ô¡cfï

Ä c ÝDp

qs

f ¯aj añ

fºï j a8:Ô¡Aff

¥

é6¦éP§

_ j aCfºï

Ä c ÝDp

qs

¯ j a ñ fºï

Ä _ Ýp

qs

_ d

a9ù//ùûúf

¨

\6H-676Z97()<E=)13(7C> Ja9ù/

ê

*f)13HI

£ Â

£ ¤

£0

_

4)a

¢o¤

Ô¡c

c ñ ¢

:Ô¢3f

Ò ¥ é6¦éP§

_ £

£0

_

4)a ¢o¤ Ô¡c

c ñ ¢ :Ô¢3f

Ò ¯ Ä Ä c a[fa

ñ ¢ fatvf

Ü a

c

tfÝ7Ýt

¥

éP¦9éP§

_>4)a

c ñ f Ò ¯ Ä Ä c a[f

ñ atvf

Ü a

c

tvfÝDÝt#¯

Ä Ä _ a[f

_

a?tf

Ü _ a

c

tvfÝDÝt

_>4)a

c ñ f Ò

¯-a8c

c ñ f Ò

¯a8

_9c

_ f

ÒM

_ j af¯a8

_9c

_ f

ÒM

¯ j a ñ f¯a8c

c ñ f Ò

_ Þ

_Ñ q j af¯

Þ Ñ qX

j a ñ f d

a9ù//ù

ê f

Z63üZ4'Füa9ù/

ê

ðf)\63üZûü/

¤

HPGB, 3

_b-/

@\63üZ>ü<>=)13H(C 2a9ù/

ê

.fZ1AHI

£ Â

£ ¤

£0

a j afºï j a¤

Ô¡cff¯a j añ

fºï j a8:Ô¢3ff ¥

é6¦éP§

_ £

£0

j aCfºï j a¤

Ô¢cfºï

Ä c ÝDp

qs

¯-a j a ñ

fºï j a©Ô¢3ff

¥

é6¦9éI§

_ j afºï

Ä c ÝDp

qs

¯ j añ fºï

Ä ÝDp

qs

d

a9ù//ùûùf

(9)

ê

£ Â

£ ¤

£0

4Za

¢o¤

Ô¢c

c ñ ¢

:Ô¡Af

Ò ¥ é6¦éP§

_ £

£0

4Za

¢o¤

Ô¡c

c ñ ¢

:Ô¡Af

Ò ¯ Ä Ä c a[fa

ñ ¢ fatvf

Ü a

c

tvfÝDÝt

¥

é6¦éP§

_>4)a

c ñ f Ò ¯ a8c

c ñ f Ò

¯a8

c fÒ ¢ Ä Ä c a[f8

atvf

Ü a

c

tvfÝDÝt

_ Þ Ñ qM

j aCf¯ Þ Ñ q.

j a ñ f ¢ j aCfj añ fa8c

c fÒ d

a9ù//ù

³ f

Z63üZ4'Füa9ù/

ê

ðf3ü?= ûü?ù97(56H4>=)=Ïº&Íù/

É

3üZC$4>/ ª

² JH'1b>9(U4'F2)6->_ù/

ê

&

²+2&2-Êü?(

Ä atvfÝDp

qs

atvfûüZ6H ;=Wüý)ÍüZ=)67=?'

«

ké

at k fºïrap qs

at kî f £ p qs

at k ff

16¬;tjk$_ tjk

î £ tjk;Õ ú<t

Ú t Â Ú

¯[¯¯

Ú t «

<K® _ ù c ³

cddd

!#

Ä

ÝDp

qs Â _

e

é Ä Ýp

qs

Â

3üZ6H ;=Wüý)ÍüZ=)6H=?'

k ÑjÑ

Ñ_ a

atkêfºïrap qs

atjk

î f £ p qs

atkêfff¯-a

_

a?t

fºïrap qs

_

at

î f £ p qs

_

at

ff

c

166Òþ>+Ïº&Íù/

É

3üZ½ý)O

k ÑjÑ

Ñ_

¡Ãí

2

¡ Þ Ò _Ñ

atjkêfÝt ¯

°¯

í 2

°¯

Þ Ò Ñ _ at

fÝt ¢o¤

_ ¡í 2

¡

°¯

í 2

°¯

atjkêf

at

f Ü a

c

tfÝ7Ýt

d

²67±¬;tjkZÕ ú;63üZFIüZ

e

Ñ_é Ä Þ Ò _Ñ

atvfÝt ¯ Ä Þ Ò

Ñ _ atvfÝt

¢ e

é Ä Ä a[f

atvf

Ü a

c

tvfÝDÝt

d

a9ù//ù Í f

Z63üZ4'Füa9ù/*f)16U_

ñ / ,

24C- ¼>9\6H4>-=Z-=)6>eù-/

ê

3üZC$4E/ ª

¸Rü?IwZ6eù-/

ê

13>5'1b4(:ûüZ56

ê

Gx( ;~ü-Z9Oûü?2a -<O)6-> Í /³

f<

16©444 5;(7~ü<Z(wûþ'«H=')ýGx( ;~ü-Z9@'B2=?-'ý /²+

C$6H4=/

)+*&,.-0/1,.243658q:9<)+*, JL/MHPN²@BA8-6F&HP?R2³=&?8@BAC1D&AE2,.F&G1A8-6F&HP?RV#@.W-JL-6/M2=&?8HPZ

[ Á[~m´atvfS_ba8´

atvf

cdddOc

´ ç

atvff]y#±?~x¿

Ý.´kêatvfS_

e

é

®k

at

cj

fÝDp qs

atvfS%

#¿}ÁzÁ®k)_·a8®k

9cdddOc

®kÃe$fSl\Ð

ÑÂ

Ò

ah+f#%

ê

ª©nª

| d

a9ù//ù

É f

(10)

v¾}¾º}À9Ár~x¿{}~Oy}zH{}?º¨^_

ê

cdddOc

h ~i¿}Á[zjÁ^Á1i?À9~xÀdµ

» ê ]

Àwv>|[¿U~i¿}{}~

üý74

k

a8®k

a8)f

£

®k

a8¶ff

Â

±ª¸· £ ¶ ¹ ¯ y £ ¶ Ú ¤

a9ù//ùf

#¿}Á[zjÁ

¤ » úJ?À{2|9}7À9~i{}7~E\»º\}zjÁ9O[Áz#y±Àwv¾}¾º}À9Ár~x¿}{~

4½¼X¾9Ø¿¼.À

Á

¾ÃÂ.¿

ÁÄ 4 üý74

k ÑjÑ

a Þ Ò ÑÅ

#®k

a8)f

£

®k

a8¶fÆ-f

Â _ ú d

a9ù//ùðf

[ Á[~l>·

jÑÂ

ajuÔ:

ç

fr#?~x¿oÊ9Ov>Pu}ÁwuoÀ9Á9|9}Puo}z}u}Á[z¢u}Á[z©[{~x©Á[À#?~i¿+zjÁ[Ài¾ºÁ|[~~iÇ&\È^)¿}Á[IySy}z

t» úÉy

at

c

´atvffS_·a9ú

c

´a9úff

¢

§

£#

a

c

´a[ffÝ

¢

§ ç

ké

£#

£0Ç®k a

c

´a[ff?Ý.´kêa[f

¢

§ e

k Ñé £ Â

£0ÇCk£0Ç

a

c

´a[ff

e

é

®k

a[f Þ Ò

Ñå a8´

a[ff ÝD a9ù//ù.f

_Ca9ú

c

´a9ú-ff

¢

§

£#

£±

a

c

´a[ffÝD

¢ e

é

§ ç

ké

£#

£0ÇCk a

c

´a[ff8®k

a

c f Ýp

qs

a[f

¢

§

7 ÊÌËaf!ÍwÍ}a

c

´a[ff Ý

d

a9ù//ù*f

Î

ÁzjÁÏÊ·_ Êk

lo

ç.Ð

e

#?~i¿

Êk

a[fS_

e

é

®k

Þ Ò

Ñå a8´

a[ffS% ê ª©nª

|:c

ê ª©¨ª©h

c

a9ù/³ úf

!ÍwÍ_

£ Â

£0Ç®k°£0Ç

ÒÑ k Ñ!Ñ

ç

lo

ç.ÐÆç

a9ù/

³ûê

f

{}Pu2a¯f

Ë

u}Á[}~xÁÀ^{}~iz©i^~izj{}7Ài¾>}À9ÁwuOy#

¯ÌuÁ[7}~iÁ[Àr{}~xz©ir~xzj{}|Á1\

@E=C13CþrZ6 ù/16WZ6 ù/

ê

13I-S67=?-E'1Iüý'<-166W3ü?U&

þCHIC((ûü$=?')A@'B3ü?C$D

)+*&,.-0/1,.243658Ó:9<Ô'/MHPNO@A8-6FHI?KV!@XW-A8G1-62,.@B/MYV1V#Z

v¾}¾º}À9Á^5_ba

9cdddOc

egfAl5Ð

jÑÂ

Ò

ah+f]\¢^)¿}ÁPyCy}zKÕµ» úÉy

Ë

§ Þ Ò _Ñ

atf?Ýt ¯ Ë

§ Þ Ò Ñ _

atvfÝ}t

_ Ë

§

atvf

§ Þ Ò Ñ _ a[fÝDp

qs

_

a[f

¢ _

atvf

Ë

§ Þ Ò _Ñ

a[fÝDp

qs

a[f Ý}t a9ù/³ ùf

ú

(11)

,

Ë

§ ÝDp

qs

¯ Ë

§ _ Ýp

qs

_

_ Ë

§

atf Þ Ò Ñ

§ _ a[fÝDp

qs

_

a[f

¢

atvf Þ Ò

_Ñ

§ a[fÝDp

qs

a[f Ý}t

_ Ë

§

atf

§ Þ Ò Ñ _

a[fÝDp qs

_

a[f

¢ _

atvf

§ Þ Ò _Ñ

a[fÝDp

qs

a[f Ýt

¢o¤

_ Ë

§

}

atvf

a[f

¢ _

atvf

a[fÆ

Ü a

c

tfÝ7Ý}t

c

a9ù/

³³

f

16H13H6)FdýÊü?(\6)'<>=Ïo» ú<

Þ Ò

Ñ Å

§ _ a[fÝDp

qs

_

a[f _ Å

§ Þ Ò Ñ _

a[fÝDp qs

_

a[f

¢o¤

_ Å

§ a[f

Ü at

c

[fÝD

d

a9ù/

³ Í f

a9ø' -<O)67 Í //ù9j/f

¨ \6H66)()<>62@'B&3ü®;+a)67eù/ê fZIFüZ6)

Ë

§ ÝDp

qs

¯ Ë

§ _ ÝDp

qs

_

_ Ë

§ Þ Ò _Ñ

atvfÝt ¯ Ë

§ Þ Ò Ñ _

atvfÝt ¢o¤

_ ÂÒ d

a9ù/

³É

f

®;4)IWa9ù/

³³

f(a9ù/

³É

fZ13I)67eù/ð/ ª

² (\673üWüÒþ>J4'F>Iw$=')D>I'-aþJ4Z9jüZ='ý /8®jü?13>

)+*&,.-0/1,.243658Ö:9<Ô'/MHPNO@A8-6FHI?K× A8/MGBHIF-XJL-6/M2=?8HIZ

v¾}¾º}À9ÁÏo_ba8

cdddOc

e$fSl aá

Â

aj;ff

e

{}PuBW_·aB

9cdddOc

B

>egfAl:á

ÂÒ

{}zjÁ^zjÁ[{}~iÁwu2Ê1~

atvfS_

Ä B

a[f

Ü a

c

tf?ÝD$% tlo

cØ _ ê

cdddc h d

a9ù/

³

f

[

Á[~

l:á Â a

f]\¢^)¿}Á[

H

a ¢

Zf?)_ H

a

f'>4 k aÆÙ

$c

B

Úf?Z_ a fj Ä ®ÝpB

qs d

a9ù/

³

ðf

8-+\4>-=Hm6

ê

Gx( $~ü?E-);ûü? ü?w>/I®/

*<)6->

³ /ê

/uZ6w47>=H6

ýGx( $Êü?)Oûü?H3üü $ '/

@E=

ä

lÌá Â a

fr(_âa©

cdddOc

e$f&l aá

Â

aj;ff

e

6u}?zjÁ9|[~i?}{}Ru}Á[z©{}~x©Ávy

ä

?«~i¿}Á

u}?zjÁ9|[~i?}Û3üZ((aþ>

Þ ¦ ä a

f#_©j

ÜEÝ

§ ä a

¢³Þ Zf £ ä a f

Þ c

a9ù/

³

.f

4'F>((o6r ;;>3ü?jüA°á Â a

f/$²+Jü6)

ä

3ü»u}ßAÁ[zjÁ[7~i?{}Ê[Á^=S6^>3ü?jüH47ü9ü

Þ ä a f#_·a

Þ

jÑ ä a f cdddOc

Þ e Ñ ä a

ff,üý966Z9

Þ Ñ ä a fSl:á

Â

aÝ

Ô$ÝtvfC=?-$

_ ê cdddc

h

(

Þ ¦ ä a fS_

Ä Þ ä a

f¯#ZatvfÝt =? +l aá

Â

aj;ff e d

a9ù/

³

*f

(12)

[ Á[~

ä c l á Â a

f]yÌul aá

Â

aj;ff

e

{}Pu{À9Àwv>^ÁW~i¿}{}~~x¿}Áu?zjÁ9|[~i?}7{}ÌuÁ[z©[{}~i©[Á[À

Þ ¦ ä y Þ ¦

Á1i[?À9~E\¢^¿}Á[

EÞ ¦ ä ¯

Z_ ä ¯ ¯ Ä ®ÝDpB qs £

ä ¯ Þ ¦ d

a9ù/Í úf

& , +Z6eù/.$13H6)F<>=?-r

Þ » ú<

H

ä a

¢³Þ

Zf

a

f?Z_

ä a f a

£gÞ

ZfÆ>4 k a Þ Ù

gc BÚf?

d

!#

EÞ ¦ ä ¯

Z_

ÜÃÝ

§ ê

Þ ä a

¢³Þ

Zf

£ ä a

fÆ

a f

_

ÜÃÝ

§ ê

Þ ä a f a

£gÞ

Zf'>4 k a Þ Ù

gc

B

Úf

£ a

f?}

_ ä a f Ý

Ý Þ a

£³Þ

ZfÆ4

Þ Ä B®ÝDp

qs £

Â Þ Â B ÂÒ Ü éP§

_ ä a f a f Ä B®ÝDp qs £

ä a f Þ ¦ a f?

ª

² 7'1u9474262þC'F-H67H=')OI'9(E

Þ Ò

ä _ Ä Þ;å

ä ¯ Ü a

c

tvfÝDg_

e

é Ä Þ Ñå ä ¯ Ü a

c

tvfÝ$_ Þ Ò ä a f a9ù/Í ê f

)+*&,.-0/1,.24365876ä:9<Ô&/1HPNO@A8-6FHI?KA8F@,Xá6/1HP@AE-6FâYã&HP/1@BGVBV#Z

v¾}¾º}À9Á

ä c l:á

Â a

f3{}zjÁ»u}ß3Á[zjÁ7~x?{Ê[Á1y#?~i¿gyzj{}|[~i?}{}7Â[zj{Ou}?Á[~xÀ Þ Ò

ä y Þ Ò

\^)¿}Á[y}zÁ9{}|[¿

tloy

l

ê

cdddc

hJ#Á^¿}{²[Á

EÞ

Ò Ñ ä ¯

)_

H

ä ¯

¯}p qs

atf £

ä ¯ Þ Ò Ñ d

a9ù/

Í

ùf

& 6 ü5sü?½ý7WB q

l«á ÂÒ

%®¨2_

ê c ù

cddd

<~üý66Z9+

Ýå

B

q

_ ¤

a¯f$a?674®>

&ûü ü9gtvf<>567süÊü?H6)=Z1AH(

Ü q

a[fS_

Ä B q

Ü a

c}æ fÝ

æ

6

Ü q

a¯fAÕ

Ü a¯

c

tvf)á

Â

aj;f/Z6aþ+Z6>_ù/*

HEÞ

Ò Ñ ä ¯

Z_

ÝÌ

Þ

ÒOç

¯8è

ä ¯

_`

Ýå

HEÞ

ÒOç

¯Eè

ä ¯

_E

ÝÌ

ä ¯ ¯ Ä B q

ÝDp qs £

H

ä ¯ Þ

ÒOç

¯8è

_

ä ¯

¯}p qs

atvf?

£

H

ä ¯ Þ Ñ d ª

ù

(13)

-Êü?(\6mWýE( $Êü?)HFjüb=r6 =?'9-Z9U&69>2&K;(HG

(Dý(qþ *97(qþ ð <±-Êü?3üI+-=

| ¢ ê

(4C(>&=?'9-Z9

,

Æ1 ;-~ü

p qs

atf

cdddOc p qs

e

atvf316!,ý7üH>ï&jü]

9cdddOc

];eü?4CF-©a

Â Ú ];k

Ú ê

f<Aü=G

'1Oü

aþ®(\4f ÝðX§'atf#_

æ

at

c

fÝ}t%ñðX§Æa9úf#_]§

c

úª«tªÕ a ³ /ê f

a9ü?K24üf Ýðºkêatf#_

k at

c fÝ}t

¢ e

é Ck

at

cj

fÝDp qs

atf#% ðºkêa9úf#_k

c a ³

//ùf

n3_

ê

cdddOc}|Sc

úª©tªÕ

d

!#

æ

at

cj

f

cj

k at

c

fH(®k

at

c<ò fH

qs

G9(Z94(+4>ü9üü ü3ü?=?>I\ûü-Zþ7&I'16

(7~ü/Z²+H=? ð < * < ê Í A( ù ê

D=?$I'D(73ü?6ý~ü9ü5=Wüý6:Kjü/

² Üü:6)

ñ

_ßa

ñ

9cdddOc

ñ

egfg3ü&9{Ou^?À9À9Ê[Á&¾ºz~y?W=

ñ

atfg3ü

qs

G9()4()<

ñ

ul

Ð

jÑÂ

Ò

ah+fJ(

Ë

§ ç

kÃé

ñ kêatvf

kêatvf

Ý}t

Ú Û / !#w1A(7Jþ>b6F 9E ·9

k

Ñ

a¯f2_S®k

a¯f/ øý44C ü?\13:\b'13(«+'(\ üC$<Rü

<#=;67 ü6ýü

ðX§

cdddOc ð ç

/ Ïºôó þC267}ü?=nl>

ê

cdddOc}|

òüý6:6)'(IwõðºkA3ü'13(Z/+Z6Z<

-(7I++ûýW$>( <S6±Á9{}~i¿ 6(I( þbµ??~x?{Ì[{}v>Áîö·l¹ 9(µµ9(Z$3ü ü?/þ

4C=

ñ

atvfS_ba

ñ

kêat

cj

ffikE÷Æø lo

ý745 $tA3ü

ù

atf#_

ù

ú

atvfS_ö

¢

kE÷Æø

§ ñ

kêa8)fÝðºkêa8Zf#% úª«tªÕ

d a ³ /³ f

a

'1b

ä a

fÊþCJ»ÕG|[{?^<> //9

qs

Ë

G9;ûüý'þH'(CµF þHá Â a

f/

Z6r?7?^{[{}z?{7|9Á¿}Áwu}Â[?Â¾zj}ÊÁ[Ì"üOr( åö.û;lo·( 9 9(Z$3ü ü?/þ;4C=?

ñ û

üý96\6)

H

a ä £ ù

Òü

ú}ü a©Õff

Â

)_=

ú Ñ

a ä £ ù

ú

a8Õff

Â d a ³ /Í f

Z63üA3ü(ï&6ý;4ûþ>ÌF-Wo6^ ûü9ü

,

'1 °$- ü?IC/ÍøÆ^/IC/ . < ê ð

(6=?7ü#6)/8Æ^gI'997I®59447®6âü?

É

/8Æg=?')

,

'1 :;E-&KjüÍü4Cj9Oûü"üü?F(\

ê

Ùþ>ý~ü?I4 &DD6/

!SH1AH1O(3ü?6ý~ü9üZ67j1AGx( $~ü?)Oûü?H><D(\13H1§ü? ;4+ûü9üý)$H6)

ÝðX§'atvfS_ ú c Ýð

a?tf#_©ÝDp qs

atvf ( Ýð

Â

atvfS_ÝDp qs

Â

atvf

d

õ÷ü9üý)$H6)2'(IðX§r9(ð

3ü'13(Z/)67\6H4ûþµ3üZw; $¼

ý a8ö

c ñ

f#_ ä £ ö ¢ Ë

§ ñ Ýð

Â a ³ /É f

'Frmö5loµ(A();3ü9ü/þH4C= ü ñ /

,

267H=')

K>G9!$ý~ü ü&7G

¨

H=?'Wýj&a

*<DZ6

Í / êÉ

f)13H\1

ä a fS_

ä ¢ Ë

§ a?tfÝp

qs

atvf

¢ Ë

§ Â atvfÝp

qs

Â

atvf a ³

/f

(14)

kêatvfS_

EÞ

k Ñ ä qs

Z% n3_

ê c ù d

øjýDþ~ü?9ý7I&63üZ>wa

³ /É

fZ13HI-'<þ> a

ê

/.f<

ý a8ö

c ñ

f#_ H

ä £ ö ¢ Ë

§

a

£ ñ fÝDp

qs

¢ Ë

§ Â Ýp

qs

Â Â

_·aH

ä £ öCf

Â ¢ Ë

§

a

£ ñ fÝDp

qs

¢ Ë

§ Â Ýp

qs

Â Â d a ³

/ðf

!#A3üº4 9}g6>¦üdöU_ö.û$_ H

ä

/AZ6S>&Ig4ûþ>3ü67=?S^$7 $¼

ý

§'a

ñ fS_

Ë

§

a

£ ñ fÝDp

qs

¢ Ë

§ Â ÝDp

qs

Â Â d a ³

/.f

8-C '1¹:13oü üýZ$J6)5

l«Ð

jÑÂ

Ò ¡

=?n^_

ê c ù-/

,

°!#E/þC ü4)oIûý)$

á Â a

f)13ü?H6)

ñ û

$7 $¼üa

³

/E.-fZ=(\2=

Ë

§

a

£ ñ f?ÝDp

qs

¢ Ë

§ Â ÝDp

qs

Â ¯ Ë

§

®ÝDp qs

_ ú

=?3()4(Sol5Ð

jÑÂ

Ò 2 d a ³

/*f

,

+Z6eù/

ê a ³

/*f)3üZ½ýEF9

Ë

§ Ë

§

a

atf

£ ñ

atff8Za[f

Ü a

c

tvfÝD7Ý}t

¢ Ë

§ Þ Ò

Ñ

a

atvf

£ ñ

atvffÝt

Ë

§ Þ Ò

jÑ

ZatvfÝ}t

¢ Ë

§ Þ Ò

jÑ

Â

atvfÝt ¯ Ë

§ Þ Ò ÂÑ

ZatvfÝ}t

_ ú =r93()4(Sol5Ð

jÑÂ

Ò d a ³ /ê

úf

8-®µ63üZ13H &;( E2((yý

þ

/1-0ãÿ-6GBA8@BA8-6F%s6587

^¿}Ág¾ºzv~Ãy}Ã?

ñ atvfS_

ñ û

atvfS_·

atvf

^?7^9Á[ÀJa

³

/.f$y${PuU}7~Jy Ë

§ Þ Ò

jÑ

Â

atf?Ýt_ úè{O\?Àw\ a ³ /

êûê

f

,

'1

$)<>16\3ü{}#{²~-Àg4 9O&6>¦ü

ñ atvfS_

ñ û

atvfS_·

atvf/

² J3ü&I

(15)

ñ ³

Ë

§

a

atf £ ñ û

atvffÝt _ ú d a ³ /ê

ùf

&

)673üZ=?-E'1óüÊþ>296> ü?I¢Zatvf)(7'$73ü?Ha

³ /ê

ú-f/ ª

a '1 ûü9üý)$&6) Þ Ò

jÑ a

a?tff( Þ Ò

jÑ añ

atvff&(C þE&16+ü4CH Þ Ò

Ñ

å

97(

6) Þ Ò

jÑ Â

atvfH3üH(7C> þw16ü?4CJ Þ Ò

ÂÑ

å

=?ol ú c

Õ /¹)6713wý~ü?

>I'9E-aþ24Z9jüaZ6eù/

ê

úf)&1H½ý)-a

³ /ê

úfûüZ=?-E'1óü

Ë

§ Ë

§

a

atvf

£ ñ

atvff8Za[f

Ü a

c

tvf

¢ Þ Ò

jÑ a

atvf

£ ñ

atvff¯

Þ Ò

jÑ

å

Za[f

¢ Þ Ò

jÑ

Â

atvf)¯ Þ Ò

Â[Ñ

å

Za[f]vÝD7Ý}t

_ Ë

§ Ë

§

a

atvf £ ñ atvff

Ü a

c

tvf8Za[f ¢ Þ Ò

jÑ a

atvf £ ñ

atvff8Za[fp qs

a[f

£ Þ Ò

Ñ å Þ Ò

jÑ a

a?tf

£ ñ

a?tff8Zaf

¢ Þ Ò

jÑ Â

atvf8Za[fp qs

Â

a[f

£ Þ Ò

Â[Ñ å Þ Ò

jÑ

Â

atvf8Za[f ÝDÝt

_ Ë

§

a[f8Za[fÝ _ ú c a ³ /

ê³

f

16

a[fS_

Ë

§ a

c

tvfÝt

c a ³ /ê Í f

16

a

c

tvfS_ba

a?tf £ ñ a?tff

Ü a

c

tf ¢ Þ Ò

jÑ a

atvf £ ñ atvffp

qs

a[f

£ Þ Ò

jÑ å Þ Ò

jÑ

a

atvf

£ ñ

atvff

¢ Þ Ò

jÑ

Â atvfp

qs

Â

a[f

£ Þ Ò

ÂÑ å Þ Ò

jÑ

Â a?tf

d a ³ /

êÉ

f

ø'7eZa[f)3ü

qs

å G9;ûüý7[þE13HI=Ca

³ / ê³

fZ6)

ú_

Ë

§

H

a[f8Za[f?EÝDg_

Ë

§ H

a[f8Za[f

qs å Ý

_ Ë

§

±a[f

a[f

qs å ÝDg_

Ë

§

a[f

qs

å

Za[fÝD

d a ³ /ê f

ø'7H63üZ6(~üZ=?3()4( ol\Ð

ÑÂ

Ò

13Hý(H6)

a[f

qs

å

)_ ú =?-r/-/a

c

f d a ³ /ê

ðf

(16)

³ êË

§ å atvf

£ ñ

atvf?

Ü a

c

tvf

¢

åEÞ

Ò

Ñ

a

at

£ ñ

atvff?jp qs

a[f

£

åEÞ

Ò

jÑ å Þ Ò

jÑ

a

atvf

£ ñ

atvff?

¢

åEÞ

Ò

jÑ

Â atfp

qs

Â

a[f

£

åEÞ

Ò

ÂÑ å Þ Ò

jÑ

Â

atvf?}vÝ}t_ ú c

a ³ /ê .-f

16H13H6)FdýÊü?(\6ü66)97(57-'

å ¯Z_ ¯ qs

å d

²+H6)FH4'F(Z

)+*&,.-0/1,.24s658s

v¾}¾º}À9ÁW~i¿}ÁW|[{?

ä

zjÁ¾zjÁ[ÀÁ[7~iÁwuÊ1~ma

³

/fJ?ÀUÀwv>|[¿~i¿}{}~

Þ Ò

jÑ å Þ Ò

Ñ

atvfJ{}Pu

Þ Ò

ÂÑ å Þ Ò

Ñ

Â

atvf$ÁBi[?À9~Dy}z{}?O

c

tl

ú c Õ<\

v¾}¾º}ÀÁJB

ñ

atvf$À{}w{Ou{v¾~xÁÆu¾Cz|9Á[À9À;?JÐ

ÑÂ

Ò

Àwv>|[¿2~x¿}{~

Þ Ò

jÑ

B ñ

atfg{}Pu Þ Ò

jÑ å Þ Ò

jÑ

B ñ

atvf$Á1i[?À9~Dy}z{}?

c

tl ú c

B

ñ

atvfg?À;{2r?7?^{[{}z?{}|9Ár¿}ÁwuÂ[?7Â¾ºz~y}Ã?Hy}z

ä

y±\?Á1\B

ñ

atvfgr?7?^Á[Àa

³

/.fg²[Á[z{}?

{Ou}{¾~xÁÆu

ñ atvfAl5Ð

jÑÂ

Ò

ñ

atvfS_¶B

ñ

³ / ê .f]\

a

-6)67ü$U$67(3üw44EüZE=)132ûü üý);2;=?[-Z9O4C O(>)$ü

=?62ûü9ü4ü<>166\4ü?>jü&$H3üH) 3$>( /

/ý~ü'9H63üZüý13H~ü?(767=?'1Iòü4C Oûü?>

HI2ã&?8,îs658

øý44C ü?U

atvf#_ ú&(

Þ Ò

jÑ

Â

atvfS_7atvf

c

;(';3üE=ý7

d a ³ /ê

*f

²+üK+$ 9OF H6(II&4C=

ñ û

atf)=?6Hj9

ä a fS_

Ë

§ Â atvfÝDp

qs

Â

atvf

d a ³

//ùûúf

@\63üZ>ü2a

³ /ê

.fZI-jüZ6H='

Ë

§ £

å

ñ atvf?

Ü a

c

tvf

£

åvEÞ

Ò

Ñ ñ atvf?jp

qs

a[f

¢

åEÞ

Ò

Ñ å Þ Ò

jÑ ñ atvf?

¢

7atvfp qs

Â

a[f]vÝt_ ú =?//«a

cj

f d a ³

//ù

ê f

Ïºý~üZ2&6>¦ü

ñ

atvfWüý656Z9

Þ Ò

jÑ

ñ

atvfS_ ú d a ³

//ùûùf

Z6a

³ /ê

*fZ(yýüZ

Ë

§

å

ñ atvf?

Ü a

c

tvfÝt_·p qs

Â

a[f

Ë

§

7atfÝ}t a ³

//ù

³ f

(17)

ñ

å

§ ñ atf

Ü a

c

tvfÝt

¢ Ë

å

ñ atvf?

Ü a

c

tvfÝt_·p qs

Â

a[f

Ë

§

7atvfÝt

c

;l ú c Õ

d a ³ //ù Í f

@\4)Iý7 9'<>=)13H6 ü2$_Õ13I6H½ý)

Ë

§ ñ atvf

Ü a8Õ

c

tvfÝt_·p qs

Â

a©Õf

Ë

§

7atvfÝt

c a ³

//ù

É f

1666)ûürµ9(Z947(ôü?/ý

ñ

ü-/ý7-Z/fâ)67=?-4j&g4C=?

ñ atvf_

ñ û

atf=J67 a ³

//ùúf<3=J>3ü?jü<

7-Oü3ü=:a

³

//ùùf/

ùù;QSù;NwXgù;û

ê

28Z/

,

I-7 <#Å&/!,ýZ<

,

/3Klü(Z9r97(qõ&/øjýõ ü?>96Zü& ý) 47475=?

4ü9üü®(FOþ=?'9-Z9

,

'1 \$)/ø'>96)/>D>/(r67Êõ$44 /

ê

úûú;a9ùúûúûùf<

44)/Ùù

³³ GRù

É³

/

ù28Z/

,

j9Ij<

,

/3Klü() <õ&//øjý>&<

a /²7Îõ;J>(yý7Jr²6$3üg67w97(

öw F>w6ý/ý~üS=?-$=?')

,

Ïº-7(:a?w44C>9'f/

³

2æ;/

,

(><}/:ø'K\( öw/>F¦üDI1A>967H(7FF&4~ü/ ÎýZ9>'F-

87Z97ù&a9ùûúûúùf<

ê

.*G

ê

*./

Í

õ&/>æûü?Iûý4'A8-[-Z9

,

'1 aö-)A@Ejü®4-4Cü±(9474~ü®÷ü6)ûü?

I-')/±D6)/æ;/#)6ü?3ü<#æA4'/C-=døÆ'93üü<#¸#7F-jü? w=

a

6 9w 6Z94C

!# ê **ð/

É

2H/AæA

a

ýC ø'>96)ûüJI-'A4ü?'~ü<³ü?>6)üJ(FF-ü($7 &

F9j9H6(I7I®/Ùø'>96)ûüü(Qø'6)ûü?ü!±4Cüð

³ a ùûúûúûùf<

ê . ê G ê

*.-/

2/PlA/7æÎý)<-Å&/®!,ýW(

,

/7±üKGæ:ý7)§øÆ6)ûü?gIýý~ü=?S=?')

,

'1

$)/D@j/DZ6/Ùø@/õÍö"}/ >- ¨ 4 &/

³

.&a9ùûúúûúf<

É

.ûùG9

ê

ù/

-ÊüZ&)/Ùöw6)/8®)

ê³ a9ùûúûú

³

f<

³ ú ê G

³-³ ú/

.2!$/8&%-E $( öw/uøÆ96>1A¼'!#(II^=7I- Íü~ý(C$4E;7='&G

-Z/±@ öW/!$/õ&/±æF3üH('g/lE-Ja?(~üfõ$44E( ø'>96ZüÏõ$Z9Ùü?"ü/±-(7-97(

,

96

ê

**

ê

<>44)/

³

.-*Î

Í ê Í /

*HÅ&/A!:ý(

,

/(3Klü() \8Æ')3167J7-"ü?26ý/ý~ür(b44~üW)>/

ê

a9ùúûú

³

f<

ê G ³ ù-/

ê ú

,

/Îöw(7/þ'58Æ''3ür9( ø'7IE8®)>UæA3ü?->ý7 < '-Z<+±3ü?KO/

ø'4IG,)# IC<

ê

**ð/

ð

(18)

êûê , , ,

97(:44E~ü/Ùø@/õÍö"±FO/

ê

úa

ê

*.f<

Í

ùûùG

Í ³ ð-/

ê ù#/

a

F9.ü ö(7IU=Rü?>K\4r6)Iü/DõÌ>9g9Z9Ùü?3ü44C96Z/Z87E)97(

ø'6)ûü?ü Í a9ùûúûúúf<

³ Í ³ G ³

*/

ê³

2@ /

a

¦ü<'lA//)$K J(0}//)$'$C:õ$>$>' 44C96woJjü'F5='ý

97(-67;)9EüýjüD-=?')

,

'1 W$~ü/

,

ûý <

É a ê

***f<

É ð ê G É .ð/

&ü<D¸#7F-jü? 2=

¨

üòù.´ûùúûú

³ /

êÉ

2Ï/ //±-Ijü õ$9þ'IJ16:=?'9-Z9

,

'1 $)/ÎöW96)/A8®)oðwa

ê

**ðf<

* É Î ê ú É /

ê

2æ;//öW//ø4®KDw'U«9þ'I/³ø'6)/>/3(6EOõ$44E~ü^ð-oa

ê

**.f<

ù ê ðGù

³

ú/

lS/< F'3}/E< öÍý~ü Óöw/a?(~üf ¨ 4u4EIC<ü?'ü(u3üK &)IG

$>'/ þ(I<O¸ 0 þ(I2¸#Fjü +ü9üùûúûú

ê

<

É-³ .G

É ð Í /

ê

.õ&/løÆ6C9FDål:ü ü?> 3üZ=Wø'6)ûüEJ8®)/>²+E( ø'><

ê

**-*/

ê

*õ&/§ø'67®FO ¨ b9þ'I+(4>-=?-^='[$(73ü/@âõ&/§ø'6ECFm(âõ&/

øjýa?(~ü/fZ²+Klü6-4\Qöw69>A8®)>/D@ a g@/õ&<D±3ü<

ê

**-./

ùûú2@ / ø' $~ü)_õ$Gx ~ü 6

a

(mE ü4C-·&K'/ öwýÊü?E4'<

a ¨ æ@ yõ -4C6)I)<Ùöw{ùûúûú ê /

ù ê a /[²[38Æ')

,

'1 Jö&(Ïõ$474~üC8®)/ºZ6ü3ü<76474~ü?G

¸#Fjü4%9Oöw9þyýIC<Ùöw96Qùûúûú

ê / .