!! "# $ %!!
&'
()*+,
-. /012 3425267482049:2 ;
<=< >?@ABCDC ?EC FGHC EICJCF@I?CGIKLC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M
<=<=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M
<=<= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M
<=<=O PK JGQQCK REBK JC QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M
<=<=S PK JGQQCK REBK QKAH@TT = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M
<=<= U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M
<=<=V WKACKIH@ J@LLK JGQQCK REBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X
<=<=M TL Q@IJGLG ?E EI QCKIG AEGHKIH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X <=<=X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X <=<=Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<Z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<N [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<S [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = Y <=<=<U [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<V = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<M [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<=<Y [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= NZ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= N< [[ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= NN [[[ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Z <=<= NO \GFKIJ@ RA@]C = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = << <=N >^EKDCGIC LCI@KAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = << <= N=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = << <= N= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <= N=O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N _
<= N [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O `GHC aGADKHC @ ?FGADKHC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <N <=O=O [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O <=O=S [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O <=O= U [ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O
<=S bLBEIC @?@ABCDC BcCK]@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O
<=S=< PK JGQQCK REBK BGI KHHACHG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <O
<=S= N TL dACHGAIGeQKAH@T = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S
<=S=O TL dACHGAIGeQKAH@TT = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S
<=S=S [[ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S
<=S
= U fI @?@FQCG JC CI]KACKIH@KJCKRKHCBG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <S
<=S
=V PK REBK ]KACKRCL@AC]C?CHKHK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <U
<=S=M bLHAC @?@FQC JC CI]KACKIHC KJCKRKHCBC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <U
<=U bLHAC @?@ABCDC ?EC FGHC EICJCF@I?CGIKLC g NZZ<h = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <V
<= U=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <V <= U= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <V <= U=O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U=S = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U= U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U=V = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <M <= U=M = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X <= U=X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X <= U=Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X i j0:3k2042 57l:2 787mn2k2 832 6012 3425267482049:2 .o N=< `GHC EICJCF@I?CGIKLC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X N=<=< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <X N=<= N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y N=<=O PK JGQQCK REBK JC QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y N=<=S PK JGQQCK REBK QKAH@TT = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y N=<= U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = <Y
N=<=V WKACKIH@ J@LLK JGQQCK REBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NZ
N=<=M TL Q@IJGLG ?E EI QCKIG AEGHKIH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = N< N=<=X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<Z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<N = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NN N=<=<O = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<S = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<U = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<V = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<M = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<X = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<=<Y = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<= NZ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO N=<= N< = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NO
N=<= NO = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=N >^EKDCGIC LCI@KAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=O `GHC aGADKHC @ ?FGADKHC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=S bLBEIC @?@ABCDC BcCK]@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS N=S=< PK JGQQCK REBK BGI KHHACHG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NS q r:n342 n06s212 5t78967 i; O=Z=< P u vuwxy zG
FQCHG JC `@BBKICBKua@RRAKCG eYM = = = = = = = = = = = = = = = = = = = = = = = = = = = = NM
O=Z= N Pu vuwxywACFG BGFQCHG JC @?GI@AGuK=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = = = = = = NX
O=Z=O z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@uV}V}eYVuT~ KQQ@LLGu ?@??= @?HC]K= = = = = = = = = = = = NX O=Z=S z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@u?@??= @?HC]K gw EL]CA@IHCh = = = = = = = = = = = = = = = NY O=Z= U z| uPuv zG FQCHG ?@??CGI@ @?HC]K K=K= YO{ YS = = = = = = = = = = = = = = = = = = = = = = = = = = = = = NY O=Z=V z|uPuvuwxy zGFQCHG JC `@BBKICBK |KDCGIKL@J@L V=<Z=YS = = = = = = = = = = = = = = = = = = = = NY O=Z=M z| uPuv uwx zGF QCHG J@L NZ=V =YS g `KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = OZ O=Z=X z|uPuvuwxy zGFQCHG J@L <<=M=YS g`KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = OZ
O=Z=Y z|uPuvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = OZ
O=Z=<Z z|uPvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = OZ
O=Z=<< Pu|f zGFQCHG JC `@BBKICBK J@L NO= N=<YYU = = = = = = = = = = = = = = = = = = = = = = = = = = = = = O<
O=Z=<N Pu|fuywACFG BGFQCHG JC @?GI@AGuK=K=YS{YU= = = = = = = = = = = = = = = = = = = = = = = = = = = = O<
O=Z=<O z|uPu|fyzGFQCHG JC `@BBKICBK |KDCGIKL@ J@L NV=N=YV = = = = = = = = = = = = = = = = = = = = = = O<
O=Z=<S z| uPuv u| f zGF QCHG ?@??CGI@@?HC]K K=K= YO{YS = = = = = = = = = = = = = = = = = = = = = = = = = = O<
O=Z=<U Pu vu v@BGIJG KQQ@LLG `@BBKICBK |KDCGIKL@ K=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = ON
O=Z=<V P u vu = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = ON O=Z=<M P u| f uu ubb z GFQCHG JC `@BBKICBK | KDCGIKL@uY}M}eYVuTT~ KQQ@LLGu ?@??= @?HC]K = = = = = = ON O=Z=<X z| uP u| f uu zGF QCHG JC `@BBKICBK | KDCGIKL@uN S} Y}eYVuT~ KQQ@LLGu?@??= KEHEIIKL@ = = = = OO O=Z=<Y z| uP u| f uuubb zG FQCHG JC `@BBKICBK |
KDCGIKL@u X}<Z}eYVuTT~ KQQ@LLGu?@??= KEHEIIKL@ = OO
O=Z= NZ zy zG
FQCHG JC `@BBKICBK J@L NO=N=<YYU= = = = = = = = = = = = = = = = = = = = = = = = = = = = = = O S
O=Z= N< z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = OS
O=Z= NN zubbuw v@BGIJG BGFQCHG JC @?GI@AG K=K=YS= = = = = = = = = = = = = = = = = = = = = = = = = = = = OU
O=Z= NO uubbu vy TT@?GI@AG <Z}U}eYV = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = OU
O=Z= NS z|uuuwy>?GI@AG JC `@BBKICBK |KDCGIKL@J@L V{V{YZ = = = = = = = = = = = = = = = = = = = = = OV
j0:3k2042 52 9:n342 n06s212 52 78967 q
S=Z=< P
u vuwxy zG
FQCHG JC `@BBKICBKua@RRAKCG eYM = = = = = = = = = = = = = = = = = = = = = = = = = = = = OV
S=Z= N P
u vuwxyw
ACFG BGFQCHG JC @?GI@AGuK=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = = = = = = OV
S=Z=O z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@uV}V}eYVuT~ KQQ@LLGu ?@??= @?HC]K= = = = = = = = = = = = OM S=Z=S z| uPuv zG FQCHG JC `@BBKICBK | KDCGIKL@u?@??= @?HC]K gw EL]CA@IHCh = = = = = = = = = = = = = = = OX S =Z= U z| uPuv zG FQCHG ?@??CGI@ @?HC]K K=K= YO{ YS = = = = = = = = = = = = = = = = = = = = = = = = = = = = = OY S=Z=V z|uPuvuwxy zGFQCHG JC `@BBKICBK |KDCGIKL@J@L V=<Z=YS = = = = = = = = = = = = = = = = = = = = OY
S=Z=M z|uPuvuwx zGFQCHG J@L NZ=V=YS g `KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ
S=Z=X z|uPuvuwxy zGFQCHG J@L <<=M=YS g`KABcCGAGh = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ
S=Z=Y z|uPuvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = SZ
S=Z=<Z z|uPvuwx >?GI@AG JC `@BBKICBK |KDCGIKL@J@L <S{U{YZ = = = = = = = = = = = = = = = = = = = = = SZ
S=Z=<< Pu|f zGFQCHG JC `@BBKICBK J@L NO= N=<YYU = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ
S=Z=<N Pu|fuywACFG BGFQCHG JC @?GI@AGuK=K=YS{YU= = = = = = = = = = = = = = = = = = = = = = = = = = = = SZ
S=Z=<O z|uPu|fyzGFQCHG JC `@BBKICBK |KDCGIKL@ J@L NV=N=YV = = = = = = = = = = = = = = = = = = = = = = S<
S=Z=<S z| uPuv u| f zGF QCHG ?@??CGI@@?HC]K K=K= YO{YS = = = = = = = = = = = = = = = = = = = = = = = = = = SN S=Z=<U P u vu v@BGIJG KQQ@LLG `@BBKICBK | KDCGIKL@ K=K= YO{YS= = = = = = = = = = = = = = = = = = = = = = SN S=Z=<V P u vu = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SN
=Z=<M P f GFQCHG JC `@BBKICBK KDCGIKL@uY}M}eYVuTT~ KQQ@LLGu ?@??= @?HC]K = = = = = =
S=Z=<X z|uPu|fuu zGFQCHG JC `@BBKICBK |KDCGIKL@uNS}Y}eYVuT~ KQQ@LLGu?@??= KEHEIIKL@ = = = = SU
S=Z=<Y z|uPu|fuuubb zGFQCHG JC `@BBKICBK |KDCGIKL@u X}<Z}eYVuTT~ KQQ@LLGu?@??= KEHEIIKL@ = SV
S=Z= NZ z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SV
S=Z= N< z = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SV
S=Z= NN zubbuw v@BGIJG BGFQCHG JC @?GI@AG K=K=YS= = = = = = = = = = = = = = = = = = = = = = = = = = = = SV
S=Z= NO uubbu vy TT@?GI@AG <Z}U}eYV = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SM
S=Z= NS z|uuuwy>?GI@AG JC `@BBKICBK |KDCGIKL@J@L V{V{YZ = = = = = = = = = = = = = = = = = = = = = SX
r:n342 787mn2k2 80:12 24 57119l:20 o
U=< w
AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SY
U=<=< TAKJC JC LCR@AH @ LK ?B@LHK J@LL@ BGGGAJCIKH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = SY
U=<= N TL BKLBGLG J@LLe@I@ACK BCI@HCBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = S Y U=<=O TL BKLBGLG J@LLe@I@ACK QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = SY U=< =S
PK PKAKICKIK @ L@ @^EKDCGIC JC >EL@AG{PKAKI@ = = = = = = = = = = = = = = = = = = = = = = = = S
Y
U=<= U PeKFCLHGICKIK @ L@ @^EKDCGIC JC KFCLHGI = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UZ
U=<=V PK J@H@AFCIKDCGI@J@LC @^ECLCRAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = U<
U=<=M PK ?HKRCLCH J@LL@QG?CDCGIC JC @^ECLCRACG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = U<
U=<=X P@ QCBBGL@G?BCLLKDCGIC CIHGAIG KLL@QG?CDCGIC JC @^ECLCRACG ?HKRCLC = = = = = = = = = = = = = = = = = UN
U=<=Y LC CIH@AKLC QACFC @ LK ACJEDCGI@ J@C AKJC JC LCR@AH = = = = = = = = = = = = = = = = = = = = = = = UN
U=<=<Z PK ]@A?CGI@ KFCLHGICKIK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UO
U=N w
AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UO
U= N=< PK J@H@AFCIKDCGI@J@LC @^ECLCRAC @ LK LGAG ?HKRCLCH = = = = = = = = = = = = = = = = = = = = = = = = US
U= N= N P@ QCBBGL@G?BCLLKDCGIC CIHGAIG KLLe@^ECLCRACG ?HKRCL@ = = = = = = = = = = = = = = = = = = = = = = = = US
U= N=O |@K
DCGI@ ]CIBGLKA@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UU
U=O w
AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UV
U=O=< TAKJC JC LCR@AH @ LK ?B@LHK J@LL@ BGGGAJCIKH@ = = = = = = = = = = = = = = = = = = = = = = = = = = = UV
U=O= N TL BKLBGLG J@LLe@I@ACK BCI@HCBK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UV
U=O=O TL BKLBGLG J@LLe@I@ACK QGH@IDCKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UM
U=O=S PK PKAKICKIK @ L@ @^EKDCGIC JC >EL@AG{PKAKI@ = = = = = = = = = = = = = = = = = = = = = = = = UM
U=O= U PeKFCLHGICKIK @ L@ @^EKDCGIC JC KFCLHGI = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UX
U=O=V PK J@H@AFCIKDCGI@J@LC @^ECLCRAC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UY
U=O=M PK ?HKRCLCH J@LL@QG?CDCGIC JC @^ECLCRACG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = UY
U=O=X P@ QCBBGL@G?BCLLKDCGIC CIHGAIG KLL@QG?CDCGIC JC @^ECLCRACG ?HKRCLC = = = = = = = = = = = = = = = = = VZ
U=O=Y LC CIH@AKLC QACFC @ LK ACJEDCGI@ J@C AKJC JC LCR@AH = = = = = = = = = = = = = = = = = = = = = = = V<
U=O=<Z TL BGIHAGLLG JCF@I?CGIKL@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = V< U=S w AGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = V< U =S
=< vB@LHK J@LL@BGGAJCIKH@ @J @^EKDCGIC J@L FGHG = = = = = = = = = = = = = = = = = = = = = = = = = = = V<
U =S
= N wG
?CDCGIC JC @^ECLCRACG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VN
U=S=O |CJEDCGI@ J@C AKJC JC LCR@AH @ KIKLC?C ^EKLCHKHC]K = = = = = = = = = = = = = = = = = = = = = = = = = VN
U=S=S PK AKQQA@?@IHKDCGI@ J@LLeGARCHK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VO
U=S= U \GFKIJ@ ]KAC@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VO
U=U wAGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VO
M=< P@ HAK?aGAFKDCGICBKIGICBc@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VU
M=<=< TL QAGRL@FK = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VU
M=<= N fI @?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VV
M=<=O fI @?@FQCG FGLHG QKAHCBGLKA@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = VV
M=N AK?aGAFKDCGIC ?CFQL@HHCBc@ CIJCQ@IJ@IHC JKL H@FQG = = = = = = = = = = = = = = = = = = = = = = = = = = = = VM
M=O EIDCGIC @I@AKHACBC@ HAK?aGAFKDCGIC BKIGICBc@JCQ@IJ@IHC JKL H@FQG = = = = = = = = = = = = = = = = = = VY
M=O=< bLHAC HCQC JC aEIDCGIC @I@AKHACBC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MZ
M=S >^EKDCGI@ JC KFCLHGI KBGRC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = M<
M=S=< >?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MN
M=U z
G?HAEDCGI@J@LL@ ]KACKRCLC KDCGI@{KIGLG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MO
M= U=< WKACKRCLC KDCGI@{KIGLG Q@A LeG?BCLLKHGA@KAFGICBG = = = = = = = = = = = = = = = = = = = = = = = = = MO
M= U= N fI @?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MO
M= U=O fI KLHAG @?@FQCG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MU
M=V @GACK J@LL@ Q@AHEARKDCGIC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MM
M=V=< >?@FQC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = MX
o r:1m2 87mn2k2 24 0m69:2860 962:1042940 o
X=< AK?aGAFKDCGIC zKIGICBc@ = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = XZ
X=N KFCLHGI{KBGRC@ ]KACKRCLC KDCGI@{KIGLG = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = X<
X=O @GACK J@LL@ Q@AHEARKDCGIC = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = = XS
:17m20m2 0n2 87mn2k2 24 0m69:2860 962:1042940 o
. r:1m0 o
@LLK QACFK QKAH@ g?@DCGIC <=<u <=Nu <=Ou <=S h BC ?GIG @?@ABCDC ?EC FGHC EICJCF@I?CGIKLC=
G CIJCBKHG BGIy
[ LC @?@ABCDC IGI J@L HEHHG ?HKIJKAJ
[[ @?@ABCDC QC JCBCLC @ IGI I@B@??KACKF@IH@EHCLC
[[[ LC @?@ABCDC QC JCBCLC @ IGI I@B@??KACKF@IH@EHCLC
LC @?@ABCDC ?@IDK K?H@AC?BG ?GIG K??GLEHKF@IH@?HKIJKAJ=
@LL
K ?@BGIJK QKAH@ g?@DCGI@Oh@?@ABCDC ?EC FGHC CI QC JCF@I?CGIC=
LC @?@ABCDC J@LLK ?@DCGI@ O ?GIG BLK??CBKHC KQQAG??CFKHC]KF@IH@Q@A KAGF@IHG y
aGAFKLC?FG LKAKICKIG
j
?HKRCLH
QCBBGL@ G?BCLLKDCGIC
¡ ACJEDCGI@ J@C AKJC JC LCR@AH
¢ H@GA@FK JC G@Hc@A £ ¡ BGAQC ACCJC aGAFKLC?FG cKFCLHGICKIG ¤ £
¦ KFCLHG KBGRC
rr
]KACKRCLC KDCGI@{KIGLG
Q@AHEARKDCGIC JC ?C?H@FC CIH@AKRCLC
TACBcCKFCKLLK RCRLCGAKK IGI ?GIG G]]CKF@IH@BGFQL@HCy IGI ?GIG BCHKHCHEHHC C H@?HCuI§ CH@?HC CI RCRLCGAKK ?GIG
BCHKHC HEHH@ L@ ]GLH@ Bc@ QGHA@RR@ @??@A@EHCL@= `@I@ ?BE?G BGI LC ?HEJ@IHC @BGI LC KEHGAC=
¨
37819 7m82047 404 © 57ª42129« 088040 7887mn2 7mm0m2¬ 94n7 lm92« 9 7m82047 s2 m7n7417¬ 7
² ³´µ ´
»¼» ½¾¿ÀÁÂà¾Ä ÅÆÇ ÄÈÂÉÂſȾÂÆÈÊËÂ
vGIG HAKHHKHC CI HEHHC C LCRAC JC F@BBKICBK= fIe@?QG?CDCGI@ FGLHG BcCKAK Ì?ELL exL
C]C@AC Í<ZÎ=
ÏÐÏÐÏ
zKLBGLK CL Q@ACGJG J@LL@ G?BCLLKDCGIC J@L FGHG EICJCF@I?CGIKL@ JC @I@ACK QGH@IDCKL@ Ñ Ò
ÓÔ Õ ÖÓÖ
×u Q@A Ø Ù Úu CI
aEIDCGI@J@LLe@I@ACK g]@JC PKIJKE ÍYÎh=
W@JC ?@DCGI@N=<=<
ÏÐÏÐÛ
z
GI?CJ@AK CL FGHG EICJCF@I?CGIKL@ Ü
Ó Õ Ó = AG]K CL FGHG BGI JKHG CICDCKL@ Ò ÓÝÞÓÝß Ô Õ Òà Þá à Ô = TI ^EKIHG H@FQG LK HAKC@HHGACK KAAC]K CI Ó Õâã
AG]K HEHHC C JKHC CICDCKLC HKLC Bc@ äåæçèéê
Ó Òë
Ô Õâ =
AG]K HEHHC C JKHC CICDCKLC HKLC Bc@ äåæçèéê
ß Ó Òë Ô Õâ = W@JC ?@DCGI@N=<= N ÏÐÏÐì íî ïðññòî óôõî ïò ñðö÷øùòîú÷ z
GI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K à I@LLK ûJGQQCK REBK JC QGH@IDCKL@ü Ü
Ó ÕÓ áÓý =
\C?@IK L@GARCH@ I@LLG ?QKDCG J@LL@ aK?C=
\C?BEHC LK ?HKRCLCH J@LL@QG?CDCGIC JC @^ECLCRACG=
\@H@AFCIK CL IEF@AG J@LL@ GARCH@ KJ @I@ACK þuKL ]KACKA@JC þ=
zG I?CJ@AK CL JKHG CICDCKL@ Ò ÓÝÞÓßÝÔ Õ Ò á à ÞÿÔ Q@A ^EKLC ]KLGAC JC ÿ
CL QEIHG FKH@ACKL@ AKCEI@LK QG?CDCGI@
à ã zGI Bc@ ]@LGBCH BC KAAC]K ã w@A þ Õâ
CL FGHG K]]C@I@ ?ELLK û?@QKAKHACB@ü= zGI Bc@ KIGLG LK ?@QKAKHACB@CIH@A?@BK LC K??C
ã
W@JC ?@DCGI@N=<=O
ÏÐÏÐ íî ïðññòî óôõî ñîö÷
zGI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K à JC @I@ACK QGH@IDCKL@ Ñ Ò
ÓÔÕ Ø uBGI Ø =
\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@JC Ø
TI QKACBGLKA@J@H@AFCIK L@QG?CDCGIC JC @^ECLCRACG @LK LGAG ?HKRCLCH KL ]KACKA@JC Ø=
\C?@IK CL AKBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL ]KACKA@JC Ø=
W@JC ?@DCGI@N=<=S
ÏÐÏÐ
zGI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K à JC @I@ACK QGH@IDCKL@ Ñ Ò
ÓÔÕ Óý Ø Ó u BGI Ø =
\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@JC Ø
TI QKACBGLKA@J@H@AFCIK L@QG?CDCGIC JC @^ECLCRACG @LK LGAG ?HKRCLCH KL ]KACKA@JC Ø=
\C?@IK CL AKBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL ]KACKA@JC Ø=
zGI?CJ@AKCLFGHG JCEIQEIHG FKH@ACKL@JCFK??K àu?G@HHG KJ EIK aGADKJC@I@ACKQGH@IDCKL@Ñ Ò ÓÔÕ á × Ò Ó á Ó Ô uBGI Ø =
\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@JC Ø
TI QKACBGLKA@J@H@AFCIK L@QG?CDCGIC JC @^ECLCRACG @LK LGAG ?HKRCLCH KL ]KACKA@JC Ø=
\C?@IK CL AKBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL ]KACKA@JC Ø=
W@JC ?@DCGI@N=<=V ÏÐÏÐ ú ñ÷øïðúð ô ôø ñòîøð ôðöîøö÷ z GI?CJ@AK CL FGHG Ü Õ á å å Þ JG]@ Ì EI KIGLGu â LK FK??Ku â EIK LEIc@DDKu Ù â EIeKBB@L@AKDCGI@ @ Ù â
EIK aA@^E@IDK= E@?HK
@^EKDCGI@ J@?BAC]@ EI Q@IJGLGu BCGÌ EI QEIHG FKH@ACKL@ JC FK??K
?E EI @?HA@FG JC EIeK?HK JC LEIc@DDK
BGI
LeKLHAG @?HA@FG ??KHGu ?G@HHK KLLK aGADK JC AK]CHu ?E JC EI QCKIG ]@AHCBKL@ Bc@ AEGHK BGI ]@LGBCH BG?HKIH@ JC
aA@^E@IDK = PeKIGLG Ì FC?EAKHG JKLK ]@AHCBKL@= EKIJG Õ â
CL QEIHG FKH@ACKL@ ?C HAG]K I@LLK QG?CDCGI@ JC
FCICFK KLH@DDK=
\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG= TI QKAHCBGLKA@ ?HEJCK Le@?C?H@IDK @ LK ?HKRCLCH J@LL@ QG?CDCGIC JC @^ECLCRACG KL
]KACKA@ J@L QKAKF@HAG
Õ
!
= zc@ JCF@I?CGIC ?CBc@ cK
ã
\C?@IK CL AKBG J@LL@ QG?CDCGIC JC @^ECLCRACG KL
]KACKA@JC = gW@JC \@LLebIHGICG Í UÎh=
zGI?CJ@AK CL JKHG CICDCKL@ Ò ÝÞ ß ÝÔÕ Ò á" ÞâÔ = w
AG]K Bc@ CL FGHG Ì Q@ACGJCBG @ ?BAC]C CL Q@ACGJG J@LLeGARCHK=
TI ^EKIHG H@FQG CL Q@IJGLG KAAC]K CI Õ " ã zG I Bc@ ß BC KAAC]K ã EKIHG ]KL@ ß ^EKIJG CL Q@IJGLG QK??K Q@A Õâã EKIHeÌCL ]KLGA@FK??CFG Bc@ ß K??EF@ ã w @A ^EKLC C?HKIHC JC H@FQG ß AKCEI@CL FK??CFG ã EKIHG ]KL@ ^EKIJG ß ÌFK??CFG ã zGI?CJ@AK CL JKHG CICDCKL@ Ò Ý Þ ß ÝÔ Õ Ò á " Þ#Ô uBGI # â = w@A ^EKLC ]KLGAC JC # CL Q@IJGLG cK EI FGHG Q@ACGJCBG ã
>?QACFC Q@A HKLC ]KLGAC CL Q@ACGJG J@L FGHG=
\@H@AFCIK LeKIJKF@IHG K?CIHGHCBG J@L Q@ACGJG Q@A
# $
% =
PK BGFQGI@IH@ ]@AHCBKL@ J@LLK A@KDCGI@]CIBGLKA@Ìy
|@KDCGI@ Õ Ò ß Ü å Ô& gw@ABc § ã
h \@H@AFCIK CL ?EG KIJKF@IHG K?CIHGHCBG Q@A
# $ % u^EKIJG CL Q@IJGLG ÌCI ÕâÞ " Þ' = W@JC ?@DCGI@N=<=M ÏÐÏÐ( z
GI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K
u JC @I@ACK QGH@IDCKL@ ÑÒ ÓÔÕ á à Ú Ó á)* à * Ó )++, * -Ó ) --. ' + Þ JG]@ ) âÞ Ù â
cKIIGu AC?Q@HHC]KF@IH@u L@ JCF@I?CGIC JC EIK LEIc@DDK @ JC EIK KBB@L@AKDCGI@u @ Ù â cK L@ JCF@I?CGIC JC EIK aA@^E@IDK=
GHK Bc@ LC K?Q@HHC ^EKLCHKHC]C J@L FGHG JCQ@IJGIG JKC QKAKF@HAC ?CBC
)ÞÞ
KHHAK]@A?G EI EICBG QKAKF@HAG KJCF@I?CGIKL@= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHGu CI QKAHCBGLKA@ Le@?C?H@IDK J@LL@
QG?CDCGIC JC @^ECLCRACG @ LK LGAG ?HKRCLCH=
zGI?CJ@AK CL FGHG JC EI QEIHG FKH@ACKL@ JC FK??K u JC @I@ACK QGH@IDCKL@ ÑÒ ÓÔÕ à Ú1 Ó ) * à * Ó )++, * -Ó ) --. ' + Þ JG]@ ) âÞ Ù âÞ 1 Ù â
u cKIIGu AC?Q@HHC]KF@IH@u L@ JCF@I?CGIC JC EIK LEIc@DDKu JC EIK KBB@L@AKDCGI@ @ JC EIK
BG?HKIH@ JC @LK?HCBCH=
GHK Bc@ LC K?Q@HHC ^EKLCHKHC]C J@L FGHG JCQ@IJGIG JKC QKAKF@HAC ?CBC
Þ)ÞÞ
1
KHHAK]@A?G
EI EICBG QKAKF@HAG KJCF@I?CGIKL@= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHGu CI QKAHCBGLKA@ Le@?C?H@IDK J@LL@ QG?CDCGIC JC
@^ECLCRACG @ LK LGAG ?HKRCLCH=
W@JC ?@DCGI@N=<=Y
ÏÐÏÐÏ2
fIQEIHGFKH@ACKL@JCFK??Kà?CFEG]@?EEIKA@HHK?GHHGLeKDCGI@JCEIKaGADKJC@I@ACKQGH@IDCKL@Ñ Ò
ÓÔ Õ áÓý Ó = z
GI?CJ@AK C JKHC CICDCKLC JC @I@ACK HGHKL@ þ
Õ 3 4 u @ ?CK ß ÓÝ Õ 3 = \@H@AFCIK C ]KLGAC JC Ó Ò âÔ Q@A C ^EKLC CL FGHG Ì
Q@ACGJCBG @JKC EIe@?QA@??CGI@ J@L Q@ACGJG= W@JC ?@DCGI@N=<=<Z
ÏÐÏÐÏÏ
fI QEIHG FKH@ACKL@ JC FK??K à ?C FEG]@ ?E EIK A@HHK ?GHHG LeKDCGI@ JC EIK aGADK JC @I@ACK QGH@IDCKL@ Ñ Ò
ÓÔ Õ 5 Ó à 6 Ó uBGI 6 = w @A ^EKLC ]KLGAC JC 6 HEHH@ L@ GARCH@?GIG LCFCHKH@ ã w @A ^EKLC ]KLGAC JC 6 LeGACCI@Ì ?HKRCL@ ã W@JC ?@DCGI@N=<=<< ÏÐÏÐÏÛ 7
fI QEIHG FKH@ACKL@ JC FK??K àu ?E EIK A@HHKuCICDCKLF@IH@ CI
Ó Õ â
BGI ]@LGBCH
ß Ó Õ
àu ?C FEG]@ ?GHHG LeKDCGI@ JC
EIK aGADK JC @I@ACK QGH@IDCKL@ Ñ Ò
ÓÔ Õ á 5 Ó à= w AG]K Bc@ CL FGHG Ì CLLCFCHKHG= wAG]K Bc@ @?C?H@ EIeKBB@L@AKDCGI@ K?CIHGHCBK g BCGÌäåæ çèéê Ü Ó Ì ICHGh
wAG]K Bc@ K?CIHGHCBKF@IH@ I@L H@FQG CL FGHG H@IJ@ KJ EI FGHG EICaGAF@F@IH@ KBB@L@AKHG= TI KLHAC H@AFCIC
@?C?HGIG 8 Ó u 8 ÿ u@ 6 HKLC Bc@äåæçèê ÖÓß Òë Ôá Ò8 ÿ ë 6 ÔÖÕ â @ äåæçèê ÖÓ Òë Ôá Ò8 Ó ë8 ÿ ç 6 ÔÖÕâ = W@JC ?@DCGI@N=<=<N ÏÐÏÐÏì
fI QEIHG FKH@ACKL@JC FK??K à ?C FEG]@ ?ELLK ?@FCA@HHK
Ó â
?G@HHG KJ EIK aGADK JC @I@ACK QGH@IDCKL@ Ñ Ò
ÓÔ Õ á 3 3 = w@A ^EKLC JKHC CICDCKLC CL FGHG ÌQ@ACGJCBG ã w@A ^EKLC JKHC CICDCKLC CL FGHG IGI ÌQ@ACGJCBG ã w@A ^EKLC JKHC CICDCKLC CL FGHG ÌCLLCFCHKHG ã
EKLC ?GLG L@ ?GLEDCGIC ?HKDCGIKAC@
ã vCK ÓÝ Õ 3 @ ß ÓÝ Õ à= \@H@AFCIK äåæçèéê ß Ó Òë Ô = vCK ÓÝ Õ 3 @ ß ÓÝ Õ á
à= EKL Ì CL FK??CFG J@LLK ]@LGBCH Bc@ CL QEIHG AKCE@
ã > ^EKL Ì CL FCICFK ã W@JC ?@DCGI@N=<=<O ÏÐÏÐÏ 7 vCK Ñ Ò ÓÔ Õ à Ó Q@A ÖÓÖ . ' u@ ÑÒ ÓÔÕ â Q@A ÖÓÖ Ù ' =
\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG=
\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG Q@ACL QGH@IDCKL@ Ñ9Ò
ÓÔÕ Ñ Ò 9Ô BGI : â BG?K KBBKJ@I@L LCFCH@ : $ âã
ÓÔÕ 39 9Ô â $ âã
EKL ÌCL FGHG JC EIK QKAHCB@LLK Bc@ACFRKLDK BGIHAG EI ûFEAG CIICHKF@IH@ACCJGü
ã W@JC ?@DCGI@N=<=<S ÏÐÏÐÏ 7 vCK Ñ Ò ÓÔ Õ á Òà ÓÔ Q@A ÖÓÖ . ' u@ Ñ Ò ÓÔ Õâ Q@A ÖÓÖ Ù ' =
\C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG=
\C?BEHC ^EKLCHKHC]KF@IH@CL FGHG Q@A CL QGH@IDCKL@ Ñ9Ò
ÓÔ Õ 3 9 Ñ Ò 9Ô BGI : â u Q@A JKHC CICDCKLC JC @I@ACK HGHKL@ QG?CHC]K= zG?K KBBKJ@I@L LCFCH@ : $ âã W@JC ?@DCGI@N=<=<U ÏÐÏÐÏ vCK Ñ Ò ÓÔ Õ ÖÓÖ
= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG= EKIHeÌ LK aGADK CI
Ó Õ âã vCK Ñ Ò ÓÔ Õ áÖÓÖ = AG]K CL FGHG JC JKHG CICDCKL@ Ò ÓÝÞÓÝß Ô Õ Ò á à ÞÿÔ KL ]KACKA@JC ÿ â = zGI?CJ@AK GAK Ñ Ò ÓÔÕ á 5 6 Ó 6 u BGI 6 â = \@H@AFCIK CL FGHG JC JKHG CICDCKL@ Ò ÓÝÞÓßÝÔÕ Ò á à ÞÿÔ KL ]KACKA@ JC ÿ â u@ CL LCFCH@ JC HKL@FGHG Q@A 6 $ â = W@JC ?@DCGI@N=<=<V ÏÐÏÐÏ 7 vCK ÑÒ ÓÔ Õ áÖÓÖ × BGI Ø â = zGI?CJ@AK CL JKHG CICDCKL@ Ò ÓÝÞ ÓÝß Ô Õ Òà ÞâÔ
= TI ^EKIHG H@FQG CL QEIHG FKH@ACKL@
AKCEI@ % ã w@A ^EKIHG H@FQG CL FGHG @?C?H@ ã vCK Ñ Ò ÓÔ Ù < Q@A GIC Ó A@KL@= wAG]K Bc@ ÖÓ Òë ÔÖ . = 3 = ëuQ@A = 3 Þ =
BG?HKIHC GQQGAHEI@ Bc@ JCQ@IJGIG JKL
JKHG CICDCKL@= w AG]K Bc@ CL FGHG @?C?H@ Q@A HEHHC C H@FQC= W@JC ?@DCGI@N=<=<M ÏÐÏÐÏ( vCK Ñ Ò ÓÔÕ Ó Ø å Ó uBGI Ø â
= \C?BEHC ^EKLCHKHC]KF@IH@ CL FGHG KL ]KACKA@ JC Ø= TI QKAHCBGLKA@HAG]K LC Ø Q@A
BEC @?C?HGIG ?GLEDCGIC ?HKDCGIKAC@@ JC?BEHCI@ LK ?HKRCLCH= \@H@AFCIK Q@A ^EKLC Ø @?C?HGIG GARCH@ Q@ACGJCBc@=
W@JC ?@DCGI@N=<=<X ÏÐÏÐÏ0 7 vCK ÑÒ ÓÔ Õ åÒ ÓÔ åÒ Ø ÓÔ u BGI â > Ø > àu @ Ò ÓÝÞÓßÝÔ Õ Ò âÞ Ú Ô = \@H@AFCIK äåæçèê Ó Òë Ô KL ]KACKA@ JC Ø=
gvE@ACF@IHG y ]@JC Le@?@ABCDCG ?EL ACHGAIG <=S= Nh W@JC ?@DCGI@N=<=<Y ÏÐÏÐÛ2 vCK Ñ Ò ÓÔ Õ Òà Ò ÓÔÔ å ? 9@ u@ Ò ÓÝÞ ÓÝß ÔÕ Ò âÞ Ú Ô = w @A ^EKLC ]KLGAC JC : CL FGHG Ì CLLCFCHKHG ã W@JC ?@DCGI@N=<= NZ ÏÐÏÐÛÏ 77 vCK ÑÒ ÓÔÕ Ú å? 9@ u ÓÝ Õâ @ ß ÓÝ
Ú= \@H@AFCIK CLH@FQG I@B@??KACGQ@AAKCEI@A@
Ó Õ àuI@L LCFCH@ : $ â = W@JC ?@DCGI@N=<=N< ÏÐÏÐÛÛ 777 vCK Ñ Ò ÓÔ Õ Òà Ò ÓÔÔ å ? 9@ u @ Ò ÓÝÞ ÓÝß Ô Õ Ò á'Þ Ú Ô
= TIJCBK BGI ë9 CL H@FQG I@B@??KACG Q@A AKCEI@A@
Ó Õ ' = wAG]K Bc@äåæ9è Ý ë9 Ì ICHG= vCK ë9Ò ÓÔ
CL H@FQG I@B@??KACG Q@AAKCEI@A@
Ó ' = wAG]K Bc@ çAB C = Q@AGIC: @J GIC Ó ' W@JC ?@DCGI@N=<= NN
Kh TI @I@AKL@EIeGARCHK Q@ACGJCBK Ì J@?BACHHK JK EIe@LLC??@ I@LLG ?QKDCG J@LL@ aK?C ã Rh vCK Ñ Ò ÓÔ ÕÓ 3 å Ó = EKIHeÌ äåæçèéê Ó Òë Ôã
TL FGHG Ì EICaGAF@F@IH@KBB@L@AKHG
ã
Bh z
GF@ Ì LK QKAH@A@KL@ J@LC KEHG]KLGAC JC EI ?C?H@FK BGI?@A]KHC]G LCI@KACDDKHG CIHGAIG
KJ EIK QG?CDCGI@JC @^ECLCRACG ?HKRCL@
ã
Jh \C?BEHC LK ?HKRCLCH J@LLeGACCI@ Q@A L@ ?@E@IHC @^EKDCGIC JCH@A@IDCKLC y <= Ü Ó Õ Ó ß Ó N= Ü Ó Õ ÓáÓß O= Ü Ó Õ áÓ ß Ó S= Ü Ó Õ áÓ áÓß
EKL@ JC @??@ J@?BAC]@ EI G?BCLLKHGA@ KAFGICBG BGI KHHACHG K H@FQG CI]@AHCHG
ã
> ^EKL@
CL LCI@KACDDKHG JC EI Q@IJGLG BKQG]GLHG BGI KHHACHG
ã
@h w
@A ^EKLC J@C ?@E@IHC FGHC EICJCF@I?CGIKLC Le@I@ACK F@BBKICBK Ì BGI?@A]KHK
ã <= Ü Ó Õ IJKL N= Ü Ó Õ Ó O= Ü Ó Õ å Ó ë S= Ü Ó Õ å Ó à U= Ü Ó Õ Ó ë V= Ü Ó Õ Ó ë M= Ü Ó Õ Ó ß Ó X= Ü Ó ß Ó å Ó Õâ Y= Ü Ó Õ Óß <Z= Ü Ó Õ MN Ò Ó áO ë Ô
TI JE@ J@LC @?@FQC QA@B@J@IHCu KIBc@ ?@ Le@I@ACK F@BBKICBK IGI ?C BGI?@A]Ku BeÌ EI
CIH@AKL@ QACFG J@L FGHGu JCQ@IJ@IH@ JKL H@FQGu Bc@ I@ Q@AF@HH@ LeKIKLC?C ^EKLCHKHC{
]K= EKLC ?GIG
ã
EKL Ì LeCIH@AQA@HKDCGI@ ?CBK JC HKLC CIH@AKLC QACFC
ã g]@JC LeCICDCG J@LLe@?@ABCDCG < =S = Uh= W@JC ?@DCGI@N=<=NO »¼P ½QÄÊÃÂÆÈÂ ËÂÈ¿ÊÀÂ
@C H@?HC JC KIKLC?CFKH@FKHCBK LeK?Q@HHG ^EKLCHKHC]G ÌHCQCBKF@IH@?GHHGAKQQA@?@IHKHG= W@JC CI]@B@ C H@?HC JC bAIGLJ
Í<u NÎ @ CI @I@AKL@C LCRAC JC `@BBKICBK=
ÏÐÛÐÏ
PCI@KACDDK Le@^EKDCGI@J@L Q@IJGLG
Ü R Õ á# Ý å R
\@?BAC]C L@HAKC@HHGAC@I@LLG ?QKDCG J@LL@aK?C JC ß V ÕWVÞ Q@A W Õ X â à à Y Þ X â à á à Y Þ X â á à à Y ÞX â á à á à Y Þ KL ]KACKA@JC gKIBc@ I@KHC]Gh= ÏÐÛÐì z
c@ A@LKDCGI@J@]GIG ]@ACBKA@ LK FKHACB@
W @ CL ]@HHGA@ Z KIBc§ CL ?C?H@FK ß V ÕWV Òë Ô Z
KFF@HHK EIK ?GLEDCGI@Q@ACGJCBK JC Q@ACGJG ë
ã
gvE@ACF@IHG y B@ABK ?GLEDCGIC J@L HCQG åÒë Ô[ Òë Ô\ h= ÏÐÛÐ 7 z GI?CJ@AK CL ?C?H@FK LCI@KA@ ß V ÕWVÞ BGI JKHG CICDCKL@ V Ò âÔÕVÝ = w
AG]K Bc@LK ?GLEDCGI@ÌLCI@KA@I@LJKHG CICDCKL@= E@?HG CFQLCBK Bc@@?C?H@EIK FKHACB@
] Òë Ô HKL@ Bc@ V Òë ÔÕ ] Òë ÔVÝ = w AG]K Bc@LK FKHACB@ ] Òë Ô
QE^ @??@A@GHH@IEHK BGF@ ?GFFK J@LLK ?@AC@JC FKHACBC y ]Òë ÔÕ éê _ `a Ý ë` W ` bc & w@A ^E@?HG FGHC]G ]Òë Ô ?C CIJCBK ?Q@??G BGI Id ç
= g vE@ACF@IHGy LG ?QKDCG J@LL@ FKHACBC BGI LK IGAFK e
W e Õ æ Mfg h g a 3 ÖW Ò ÿÔÖ Ì BGFQL@HG @ ]KL@ e Wi e . e W ee i
e= PK ?@AC@ Ì EIK ?@AC@ JC QGH@ID@ CI ë ^ECIJC cK EI AKCG JC
BGI]@A@IDKuJ@H@AFCIKLG @J@AC]K H@AFCI@ K H@AFCI@h=
»¼ j kÆÇ lÆÀÃÊÇ ¿ ¾ÅÆÀÃÊÇÂ
w
@A L@ G?BCLLKDCGICaGADKH@ @ ?FGADKH@ FC ]@IGIG CI F@IH@ JE@H@?HC y CL PKIJKE ÍYÎ @CL KLLK]GHHC ÍVÎ= ÏÐìÐÏ | C?GL]C CL FGHG Ü Ó Õ á ß Ó Òà Ò # ë ÔÔ = >?C?HGIG ?GLEDCGIC ?HKDCGIKAC@ ã >?C?HGIG FGHC Q@ACGJCBC ã >?C?H@ äåæçèéê Ó Òë Ôã ÏÐìÐÛ | C?GL]C Ü Ó Õ áÓá Ú ß Ó åÒë Ô Ò Úë ÔÞ BGI JKHG CICDCKL@ Ò âÞâÔ uQ@A Õâ @ Õ m =
vCK nÒë
Ô
EIK aEIDCGI@ Q@ACGJCBK JC Q@ACGJG o
Õ " p = b??EFC Bc@ ?CK KLF@IG JC BLK??@ q gJ@AC]KRCL@ JE@ ]GLH@ BGI
J@AC]KHK ?@BGIJK BGIHCIEK @ LCFCHKHKh=
PK aEIDCGI@ n QE^ @??@A@ ?]CLEQQKHK CI ?@AC@JC GEAC@A y nÒë Ô Õ _ rst= r Iu p r ç Þ JG]@ = r Õ 3 v w v Ý x ë Iyu p r ç nÒë Ô x ë & |CBGAJK Bc@ = y r Õ z = r uQ@A LK A@KLH JC nu @ Ö = r Ö . { r Q@A 1 | Õ â gQ@A LeCQGH@?C q h=
AG]K Q@A ?@AC@EIK ?GLEDCGI@ QKAHCBGLKA@ JC
Ü Ó Õ áÓ á Ú ß Ó nÒë ÔÞ Q@A Õ â @ Õ m uKL ]KACKA@JC # = zc@
BGIJCDCGIC J@]C CFQGAA@ ?E
= r @ # KIBc§CL FGHG ?CK LCFCHKHG ã ÏÐìÐ 7 z
GI?CJ@AK LeG?BCLLKHGA@ KAFGICBG aGADKHG
Ü Ó Õ á# Ý Ó Ò # ë Ô& w @A ^EKLC ]KLGAC JC # @?C?HGIG FGHC Q@ACGJCBC ã w
AG]K Bc@ HEHHC C FGHC ?GIG Q@ACGJCBC ?@ @ ?GLG ?@ p}
p
ÌAKDCGIKL@ @JC]@A?G JK à=
wAG]K Bc@ ?@ p}
p
Ì CAAKDCGIKL@uCL FGHG I@LLG ?QKDCG J@LL@ aK?C AC@FQC@ J@I?KF@IH@ EIK A@CGI@= zc@ A@CGI@ Ì
ã
gvE@ACF@IHGy ]@JC Le@?@ABCDCG <=S= Nh
ÏÐìÐ 7 z GI?CJ@AK CL FGHG Ü Ó Õ áÓ ,~ â . Ó . à ,~ ß Ó Ù â =
Pe@I@ACK F@BBKICBK ?C BGI?@A]K
ã
zGI?CJ@AK CL JKHG CICDCKL@ Ò
ÓÝÞ ÓÝß Ô Õ Ò
âÞâÔ
= |C?GL]C @?QLCBCHKF@IH@ CL FGHG IG KL QACFG H@FQG JC ACHGAIG J@L
QEIHG FKH@ACKL@CI
Ó Õâ
BGI ]@LGBCH QG?CHC]K=
zGF@ K]]C@I@CL FGHG IG KL ?@BGIJG ACHGAIG
ã
> JGQG
ã
vCK ë
r
CL H@FQG CI BEC CL QEIHG FKH@ACKL@ACHGAIK CI
Ó Õâ BGI ]@LGBCH QG?CHC]K= AG]K äåæ r èéêÒë r á ë r y3 Ô =
gW@JC LK QKAH@ ?ELLG û?BKQQKF@IHG KJ KIBGAKü ?EL KLLK]GHHC ÍVÎ h
»¼ ËÁÄÈ ¿¾¿ÀÁÂàÁÂÊ¿ ÏÐÐÏ íî ïðññòî óôõî õðø îööòöð z GI?CJ@AK CL FGHG Ü Ó Õ Ó áÓý á ß Ó
gFGHG I@LLK JGQQCK REBK JC QGH@IDCKL@ BGI KHHACHGh= P@ QG?CDCGIC JC @^ECLCRACG
?GIG Ó 3 Õ àu Ó Õ á àu Ó ý Õâ = Kh w AG]K Bc@ Ó 3 ?GIG QG?CDCGIC JC @^ECLCRACG ?HKRCLCu@ Ó ý Ì CI?HKRCL@=
Rh wAG]K Bc@ Q@A ^EKLEI^E@ JKHG CICDCKL@ LK HAKC@HHGACK BGI]@A@ KJ EIK J@LL@QG?CDCGIC JC
@^ECLCRACG=
Bh zcC@JCHC ?@ @?C?HGIG HAKC@HHGAC@IGI ?HKDCGIKAC@Bc@ H@IJGIG K
Ó
ý =
Jh \@H@AFCIK^EKLCHKHC]KF@IH@LKA@CGI@J@LLG?QKDCGJ@LL@aK?CBc@ÌKHHAKHHKJK
Ó 3 @^E@LLK KHHAKHHK JK Ó
g vE@ACF@IHGy JC?@IK I@LLG ?QKDCG J@LL@aK?CL@GARCH@J@L?C?H@FK ?@IDK
KHHACHG @ C FGHC J@L ?C?H@FK BGI KHHACHG Bc@H@IJGIG KLLK QG?CDCGI@JC @^ECLCRACG
Ó
=
zGI?CJ@AK EIK QELB@ ?E EIK BCABGIa@A@IDKu Bc@ KL H@FQG CICDCKL@ ?CK I@L QEIHG JC KIGLG KL B@IHAG R
Õ â
= bJ GIC
?@BGIJG LK QELB@a EI ?KLHG JC EI KIGLG Ø= vCK R r u BGI â . R r > Ú '
uLK QG?CDCGI@J@LLK QELB@ KL ?@BGIJG
1 = Kh wAG]K Bc@ ?@ × " Ì AKDCGIKL@CL FGHG J@LLK QELB@Ì Q@ACGJCBGuBCGÌ @?C?H@ 1 HKL@ Bc@ R r Õ â Rh w AG]K Bc@ ?@ × " ÌCAAKDCGIKL@LK QELB@ IGI HGAIK FKC CI R Õâ = Bh v@FQA@I@L BK?G × "
u QAG]K Bc@@?C?H@ EIK ?EBB@??CGI@ BA@?B@IH@JC CIH@AC
b r HKL@ Bc@ äåæ r èéê R ` Õâ = Jh v@FQA@I@L BK?G × " u QAG]K Bc@ Q@A GIC R
@?C?H@ EIK ?EBB@??CGI@ BA@?B@IH@JC CIH@AC
b r HKL@ Bc@ äåæ r èéê R ` Õ R
gCI KLHA@ QKAGL@ CL FGHG Ì d J@I?Gd ?ELLK BCABGIa@A@IDKuG
KIBc@ Le
#á
LCFCH@ J@L FGHG Ì HEHHK LK BCABGIa@A@IDK=
gW@JC bAIGLJ ÍNÎh
ÏÐÐì ú òöðøð ñîö÷
z
GI?CJ@AK CL ?@E@IH@FGHG J@LL@ ]KACKRCLC Q@ACGJCBc@ R 3 Òë Ô @ R Òë Ô g?GIG KIGLC HAK â @ Ú ' uBCGÌ ÒR 3 Þ R Ô J@?BAC]GIG EI HGAG RCJCF@I?CGIK L@hy R 3 Òë ÔÕ# 3 ë R Òë ÔÕ# ë & TL FGHG CI GIEIK J@LL@ ]KACKRCLC R u Ì Q@ACGJCBG JC Q@ACGJG o u Õ " p = w AG]K Bc@ CL FGHG BGFQL@??C]G Ì Q@ACGJCBG ?@@ ?GLG ?@ p} p Ì AKDCGIKL@= w
AG]K Bc@ I@L BK?G IGI Q@ACGJCBG CL FGHG Ì J@I?G ?EL HGAG= gW@JC b
AIGLJ Í NÎh
ÏÐÐ 77
AKHHG JKLLebAIGLJ JC >^= \CH= Í NÎ
zGI?CJ@AK LK ?EBB@??CGI@aGAFKHK JKLL@ QACFK BCaAK J@LLe@?QA@??CGI@ J@BCFKL@ JC Ú`y
Ú Ý Õ à $ à Ú 3 Õ Ú $ Ú Ú Õ $ Ú ý Õ $ Ú Õ à $ à Ú m Õ O Ú $ O Ú Õ $
&&&
zG
FQKA@CL I@LLK ?EBB@??CGI@
ã
zG
FQKA@QC aA@^E@IH@F@IH@ CL G Le
ã
w
C CI @I@AKL@ Ú`
QE^ CICDCKA@ BGI EIK ?@^E@IDK KARCHAKACK JC BCaA@
ã
ÏÐÐ ø ÷÷Fñòð ïò òøGîòîøö÷ îïòîóîöòõð
zGF@?C FEG]@EI QEIHG FKH@ACKL@ ?G@HHG KJ EIK aGADK JC @I@ACK QGH@IDCKL@Ñ Ò
ÓÞ ë ÔÕ Ñ Ò Ó á = ë Ô BGI = BG?HKIH@ ã
zGF@ ?C FEG]@ EI QEIHG FKH@ACKL@ CI QA@?@IDK JC EIK QKA@H@ CIICHKF@IH@ ACCJK Bc@ ?C FEG]@ BGI ]@LGBCH
BG?HKIH@
= ã
fI QEIHG FKH@ACKL@JC FK??K
?C FEG]@HAK JE@QKA@HC CIICHKF@IH@ACCJ@uLK QACFK??K CI
Ó Õâ @LK ?@BGIJK CI Ó Õ Òë Ô Õ Ý á :ëuBGI : â
= bLLeC?HKIH@ CICDCKL@ CL QEIHG Ì CI
Ó Õ â
BGI ]@LGBCH
ÿ
= \@H@AFCIKu I@L äåæ9è
Ý u CL
FGJELG J@LLK ]@LGBCH J@L QEIHG I@LLeC?HKIH@CI BEC LK RKAAC@AK FGRCL@ Ì KAAC]KHK CI
Ó Õ 3 = wAG]K QC CI @I@AKL@Bc@äåæ9è Ý Öÿ ? ç 9@ ? ç 9@ÖÕÿÝ =
vE@ACF@IHG y ?EQQGIC Bc@ KL H@FQG ë Ý LK RKAAC@AK FGRCL@ ?CK CI 6 @ LK QKAHCB@LLK ?CK CI â BGI ]@LGBCH ÿ = zK LBGLK CL H@FQG ë 3 JC ACHGAIG J@LLK QKAHCB@LLK CI â uLK ]@LGBCH Bc@ cK LK QKAHCB@LLK @ LK QG?CDCGI@ J@LLK RKAAC@AK FGRCL@= GHK _
3
Ý
ACBGA?C]KF@IH@Q@A C ACHGAIC ?EBB@??C]Cu@ J@H@AFCIK LK ?EBB@??CGI@J@C H@FQC JC EAHG BGI LK QKA@H@??K===
887m9k2047 C?CBKF@IH@ Öÿ Òë Ô Òë ÔÖ
cK L@ JCF@I?CGIC JC EIK @I@ACK Q@A CL H@FQG gcK L@ JCF@I?CGIC J@LLeKDCGI@h= w@A
BG?HKIH@u LeKDCGI@ Ì QAGQGADCGIKL@ KLLeKA@K AKBBcCE?K JKLLeGARCHK I@LLG ?QKDCG J@LL@ aK?C gBc@ CI ^E@?HG BK?G Ì EI
A@HHKIGLGh= G]]CG Bc@ äåæ9è ÝÖÿ Òë Ô Òë ÔÖ Õ ÿÝÝ u CIaKHHC Q@A : Õ â
LK RKAAC@AK Ì a@AFK= E@?HG LCFCH@ IGI Ì EICaGAF@ CI ë=
\KLLe@?@ABCDCG QEGC IGHKA@Bc@KJ EI H@FQG J@LLeGAJCI@ JC
3 9 LK ]KACKDCGI@ JC Ö Ñ Òë Ô Òë ÔÖ AC?Q@HHG K ÿÝÝ Ì JC GAJCI@ :=
zCGÌ LeKDCGI@ Ì QAKHCBKF@IH@ CI]KACKIH@u AC?Q@HHG K ]KACKDCGIC L@IH@ gKJCKRKHCBc@h J@C QKAKF@HAC ?CBC Bc@ G]@A{
IKIG CL FGHG=
w
@A FKCGAC J@HHKLC ]@JC LebAIGLJ Í< Î@ CL PKIJKE ÍYÎ=
ÏÐÐ íî óôõî Gîòîóòú÷ òGòòöîöî
gbEHGA@ >= zKLCGHCh
Pe@?@ABCDCG QA@B@J@IH@ cK EIK CIH@AQA@HKDCGI@H@AFGJCIKFCBK=
aKBCL@CJ@IHCBKA@Le@I@ACKCIH@AIKy ]
Õ 3 ÿ =
KIBc@aKBCL@CJ@IHCBKA@CL d]GLEF@ey ?KA Ñ
Õ
= PK QA@??CGI@
Ì ?CBKF@IH@ LK aGADK @?@ABCHKHK ?ELLeEICH JC ?EQ@ABC@ Bc@ AKBBcCEJ@ CL F@DDG= \eKLHAK QKAH@ CI ^E@?HG BK?G LK
?EQ@ABC@ Ì EI QEIHG g
Ó Õ â
GQQEA@
Ó Õ
h= v@ EI QEIHG FKH@ACKL@ ?ERC?B@ CI EI B@AHG H@FQG ë EIK ]KACKDCGI@
JC CFQEL?G Ò ÿÔ u LK aGADK Bc@ Ì ?HKHK @?@ABCHKHK ?E JC @??G Ì B h C ç = w@A EI EAHG I Ó Õ â LK ]KACKDCGI@ JC CFQEL?G Ì Ú ÖÿÖ
= @L IG?HAG BK?G IGI BeÌ ]KACKDCGI@ JC CFQEL?G ?@ IGI ^EKIJG LK FK??K HGBBK
Ó Õ â
= w@A JKA@ ?@I?G
KLLK QA@??CGI@u?CQE^ Q@I?KA@JC BGI?CJ@AKA@LeCFQEL?G ?BKFRCKHG BGI LK QKA@H@Q@A EI H@FQG ?EBC@IH@F@IH@LEIG
KIBc§K]]@IKIGFGLHCEAHCuFK?EBC@IH@F@IH@QCBBGLGKIBc§LK]KACKDCGI@JG]EHK KLFGHGJ@LLK RKAAC@AKFGRCL@
IGI ?CK ?CICBKHC]K gK??EIDCGI@QG??CRCL@ ?@ : Ì FGLHG QCBBGLGh= TI KLHA@ QKAGL@y
Õ Ú ÖÿÖ 1 r Þ JG]@ 1
Ì CL IEF@AG JC ]GLH@ Bc@ LK FK??K EAHK LK QKA@H@ CI
Ó Õ â u @
r
Ì CL H@FQG I@B@??KACG Q@A aKA@
1 EAHC= >]CJ@IH@F@IH@ r 1 g h g g Ú
Ì LK JC?HKIDK JK Q@ABGAA@A@Q@A HGAIKA@ CI
Ó Õ â @
ÿ
Ì LK ]@LGBCHh=
TI J@ICHC]Ku LeCIH@AQA@HKDCGI@ H@AFGJCIKFCBK J@L FGHG JC EIK QKAHCB@LLK HAK JE@ QKA@HC Q@Aa@HHKF@IH@ ACCJ@ K
JC?HKIDK J y ] Õ 3 ÿ Ñ Õ Õ h & wAG]K Bc@ ?@
]KACK FGLHG L@IHKF@IH@u
o x Õ x ] x Ñ Õ âÞ BCGÌLK HAK?aGAFKDCGI@Ì KJCKRKHCBK= 887m9k2047
KA@ LK H@AFGJCIKFCBK JC EIK ?GLK QKAHCB@LLK Ì KRRK?HKIDK QAC]G JC ?@I?G= vC QG??GIG BGI?CJ@AKA@u QC BGA{
A@HHKF@IH@u FGLHC??CF@ QKAHCB@LL@ HAK L@ QKA@HCu Bc@ IGI EAHKIG HAK JC LGAG= E@?HK ?CHEKDCGI@ QE^ aKA Q@I?KA@ KJ
EI K? Q@Aa@HHGu Q@A BEC LK H@AFGJCIKFCBK cK ?@I?Gu@ LK QA@??CGI@ Ì BCI@FKHCBKF@IH@ J@ICHK KHHAK]@A?G LeCFQEL?G
?BKFRCKHG BGI L@ QKA@HC= @I@H@ QA@?@IH@u Q@A^u Bc@ EI CI?C@F@ JC QKAHCB@LL@ Bc@ IGI EAHKIG HAK LGAG x ?GIG EI
K? Q@Aa@HHG= TIaKHHC FKIBK CL F@BBKIC?FG JC H@AFKLCDDKDCGI@HCQCBGuKJ @?@FQCGuJ@LLe@^EKDCGI@JC GLHDFKII=
ÏÐÐ úöò ÷÷Fñò ïò òøGîòîøöò îïòîóîöòõò
@GA@FK J@LLeCI]KACKIDK KJCKRKHCBK=
vEQQGIC JC K]@A@ EI FGHG EICJCF@I?CGIKL@ CI BEC Le@I@ACK HGHKL@u GLHA@ Bc@ JCQ@IJ@A@ JKLLK QG?CDCGI@ @ JKLLK
]@LGBCHu JCQ@IJK JK EI QKAKF@HAG u BCGÌ þ
Õ þÒ ÓÞÓßÞ Ô = zG F@ @?@FQCG QEGC Q@I?KA@ K þ Õ 3 ß Ó Ñ Ò ÓÔ u JG]@
LK FK??K ?H@??K Ì CL QKAKF@HAG uGQQEA@þ
Õ 3 ß á u JG]@ cK L@ JCF@I?CGIC JC EIK LEIc@DDK=
Ô
?QKDCG J@LL@aK?CuJ@LLK A@CGI@AKBBcCE?K JKLLeGARCHK JC @I@ACK þ=
zGI?CJ@AK GAK CL FGHG BGI @I@ACK HGHKL@ JCQ@IJ@IH@ JKL H@FQG KHHAK]@A?G y þ
Õ þÒ ÓÞÓßÞ :ë Ô uBGI : QCBBGLG= TL H@GA@FK KJCKRKHCBG KH@AFK Bc@ Ö Ò þÒë ÔÔá Ò þÒ âÔÔÖ .= : Þ Q@A â . ë . 3 9 =
TI KLHA@ QKAGL@uQ@A ]KACKA@ LeKDCGI@ JC : J@]G K?Q@HHKA@ EI H@FQG JC GAJCI@
3 9 =
TI ^E@?HG @IEIBCKHG FKIBKIG J@LL@ CQGH@?C CFQGAHKIHC= w@A Le@IEIBCKHG QA@BC?G @ Q@A LK JCFG?HAKDCGI@]@JCu HAK LC
KLHACuLebAIGLJ Í<Î
zG
I?CJ@AK EI Q@IJGLG LK BEC FK??K JCFCIEC?B@ L@IHKF@IH@ BGI CL H@FQG= \C ^EKIHG ]KACK LeKFQC@DDK J@LL@
G?BCLLKDCGIC ?@ LK FK??K ?C JCF@DDK
ã
fIK FK??K ÌKQQ@?K KJ EI LG @J G?BCLLK= v@JCF@DDG L@IHKF@IH@LK LEIc@DDK J@L LGuBGF@BKFRCK LeKFQC@DDK
J@LL@ G?BCLLKDCGIC
ã
zG
I?CJ@AK CL FGHG EICJCF@I?CGIKL@JC @I@ACK HGHKL@
à Ú ß ) Ú á 1 &
zGI?CJ@AKEI JKHG CICDCKL@Bc@BGFQCK QCBBGL@G?BCLLKDCGICCIHGAIGKLLK QG?CDCGI@JC @^ECLCRACG?HKRCL@= v@
1
?CJCF@DDK
FGLHG L@IHKF@IH@uBGF@BKFRCK CL FGHG
ã
g[[h fI ?KH@LLCH@ CI GARCHK CIHGAIG KLLK @AAK J@?BAC]@ EIeGARCHK QGBG @BB@IHACBK= zG
F@ BKFRCK LeGARCHK ?@ CL
FGF@IHG J@LLK ^EKIHCH JC FGHG J@L ?KH@LLCH@ AKJJGQQCK FGLHG L@IHKF@IH@
ã »¼ ËÇÀ ¿¾¿ÀÁÂà¾Ä ÅÆÇ ÄÈÂÉÂſȾÂÆÈÊË P¡¡»¢ ÏÐÐÏ vCK Ñ Ò ÓÔ Õ MN £ M Ò ÓÔ Ø à Ó
Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= bL ]KACKA@ JC Ø
u JC?@IKA@
^EKLCHKHC]KF@IH@ L@ GARCH@I@LLG ?QKDCG J@LL@aK?C= TI QKAHCBGLKA@
¤
J@H@AFCIKA@ L@ ?GLEDCGIC JC @^ECLCRACG @JC?BEH@AI@ LK ?HKRCLCH
¤ JKHG Ò
ÓÝÞÓßÝÔÕ Ò
âÞâÔ
u JKHG CICDCKL@uJ@H@AFCIKA@äåæçèéêÒ
Ó Òë ÔÞÓß Òë ÔÔ zGI?CJ@AKA@GAK CL FGHG Ü Ó Õ á x x Ó Ñ á¥Óß uBGI ¥ â
= \@H@AFCIKA@L@ QG?CDCGICJC @^ECLCRACG @JC?BEH@AI@LK ?HKRCLCH=
w@A Ø á à @ ¥ â J@H@AFCIKA@äåæçèéêÒ Ó Òë ÔÞÓß Òë ÔÔ ?@ Ò ÓÝÞÓßÝÔÕ Ò âÞâÔ =
g[h |C?GL]@A@u ^EKLCHKHC]KF@IH@uCL QEIHG QA@B@J@IH@I@L BK?G Ø
. á à= g[h v@FQA@I@L BK?G ¥ â u @?C?H@ ÿ â HKL@ Bc@ Q@A CL FGHG JC JKHG CICDCKL@ Ò âÞÿÔ ]KL@äåæçèéê Õ % ã ÏÐÐÛ vCK Ñ Ò ÓÔ Õ MN £ M Ò ÓÔ Ø Ó à Ó
Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= bL ]KACKA@ JC Ø
u JC?@IKA@
^EKLCHKHC]KF@IH@ L@ GARCH@I@LLG ?QKDCG J@LL@aK?C= TI QKAHCBGLKA@
¤
J@H@AFCIKA@ L@ ?GLEDCGIC JC @^ECLCRACG @JC?BEH@AI@ LK ?HKRCLCH
¤ JKHG Ò
ÓÝÞÓßÝÔÕ Ò
âÞâÔ
u JKHG CICDCKL@uJ@H@AFCIKA@äåæçèéêÒ
Ó Òë ÔÞÓß Òë ÔÔ ¤ ?@ Ò ÓÝÞÓßÝÔÕ Ò âÞÿÔ uQ@A ^EKLC ]KLGAC JC ÿ uCI aEIDCGI@ JC Øu äåæçèéê Ó Òë ÔÕ % ã
vCK ÑÒ
ÓÔ Õ Ó
Iy
= Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@IKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@ I@LLG
?QKDCG J@LL@aK?C= TI QKAHCBGLKA@
¤
J@H@AFCIKA@ L@ ?GLEDCGIC JC @^ECLCRACG @JC?BEH@AI@ LK ?HKRCLCH
¤
J@H@AFCIKA@ LK aA@^E@IDK J@LL@QCBBGL@G?BCLKDCGICCIHGAIG KLL@QG?CDCGIC JC @^ECLCRACG
?HKRCLC ¤ ?@ Ò ÓÝÞÓßÝÔÕ Ò âÞÿÔ uQ@A ^EKLC ]KLGAC JC ÿ ]KL@ äåæçèéê Ó Òë Ô Õ % ã TI HKL BK?G ¦ ^EKIHeÌ äåæçèéê ß Ó Òë Ôã ¦ BGI Bc@ ]@LGBCHuCI aEIDCGI@JC ÿ uCL QEIHG QK??K Q@A Ó Õã ¦
JKA@ Le@?QA@??CGI@ J@L H@FQG Bc@ CL QEIHG FKH@ACKL@ CFQC@K Q@A KAAC]KA@ CI
Ó Õ uCI aEIDCGI@ JC ÿ = ÏÐÐ vCK Ñ Ò ÓÔ Õ áÓ Iy
= Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@IKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@ I@LLG
?QKDCG J@LL@aK?C= TI QKAHCBGLKA@u
¤
BKLBGLKA@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGIC CIHGAIG KLL@ QG?CDCGIC JC @^ECLCRACG
?HKRCLC ¤ ?@ Ò ÓÝÞÓßÝÔÕ Ò Ú ÞÿÔ u Q@A ^EKLC ]KLGAC JC ÿ CL FGHG H@IJ@ K % ã > Q@A ^EKLC H@IJ@ K á % ã
TI HKL BK?G BKLBGLKA@CI ^EKIHG H@FQG CL QEIHG FKH@ACKL@AKCEI@
á % = ÏÐÐ vCK Ñ Ò ÓÔ Õ Ó Ú Ø à Ó
= Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@IKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@
I@LLG ?QKDCG J@LL@aK?Cu KL ]KACKA@ JC Ø
= TI QKAHCBGLKA@u
¤
J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH
¤ Q@A Ø
Õ
à J@H@AFCIKA@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGIC CIHGAIG KLL@ QG?CDCGIC
JC @^ECLCRACG ?HKRCLC ¤ Q@A Ø Õ à Ú
J@H@AFCIKA@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGIC CIHGAIG KLL@ QG?CDCGIC
JC @^ECLCRACG ?HKRCLC ¤ Q@A Ø Õ à @ Q@A CL JKHG CICDCKL@ Ò á à ÞÿÔ u J@H@AFCIKA@ C ]KLGAC JC ÿ Q@A ^EKLC CL FGHG QK??K Q@A Ó Õ
à= \KA@ Le@?QA@??CGI@J@L H@FQG CFQC@KHGuCI aEIDCGI@ JC
ÿ =
¤
BGI C JKHC J@L BK?G QA@B@J@IH@uBGI Bc@]@LGBCH CL QEIHG FKH@ACKL@QK??K Q@A
Ó Õâã ¤ g[h J@H@AFCIKA@äåæ§ èéê oÒ þ Ô uJG]@oÒþ Ô Ì CL Q@ACGJG J@L FGHG JC @I@ACK þ= ¤ g[h ?@FQA@Q@A Ø Õ àuJC?BEH@A@C ]KLGAC JC o Q@AC ^EKLC @?C?H@ EI FGHG Q@ACGJCBG JC Q@ACGJG o= ÏÐÐ vCK Ñ Ò ÓÔÕ á Ó Ú Ø à Ó
= Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@IKA@ ^EKLCHKHC]KF@IH@ L@ GARCH@
I@LLG ?QKDCG J@LL@aK?Cu KL ]KACKA@ JC Ø
= TI QKAHCBGLKA@u
¤
J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH
¤ Õ á JC @^ECLCRACG ?HKRCLC ¤ Q@A Ø Õ á Ú@ ÓÝ Õâ
uJ@H@AFCIKA@C]KLGAC J@LLK ]@LGBCHCICDCKL@
ÿ
Q@AC ^EKLCCL FGHG
ÌCLLCFCHKHG
¤
I@LBK?GJ@CJKHCJ@LQEIHGQA@B@J@IH@u?@CLFGHGÌCLLCFCHKHGuJ@H@AFCIKA@äåæçèéê Ó Òë Ô ß Ó Òë Ô u KL ]KACKA@ JC ÿ ÏÐÐ vCK Ñ Ò ÓÔ Õ 5 à Ó Ø à Ó
= Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@IKA@ ^EKLCHKHC]KF@IH@ L@
GARCH@I@LLG ?QKDCG J@LL@ aK?CuKL ]KACKA@ JC Ø
= TI QKAHCBGLKA@u
¤
J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH
¤
J@H@AFCIKA@LK aA@^E@IDK J@LL@QCBBGL@G?BCLLKDCGICCIHGAIGKLL@QG?CDCGICJC @^ECLCRACG
?HKRCLC ¤ ?@ Ò á à ÞâÔ
Ì CL JKHG CICDCKL@uQ@A ^EKLC ]KLGAC JC Ø CL FGHG ÌQ@ACGJCBG
ã ¤ g[h J@H@AFCIKA@äåæ§èéêoÒ þ Ô uJG]@oÒþ Ô Ì CL Q@ACGJG J@L FGHG JC @I@ACK þ= ÏÐÐ( vCK Ñ Ò ÓÔ Õ á 5 à Ó Ø à Ó
= Le@I@ACK QGH@IDCKL@ JC EI FGHG EICJCF@I?CGIKL@= \C?@IKA@ ^EKLCHKHC]KF@IH@ L@
GARCH@I@LLG ?QKDCG J@LL@ aK?CuKL ]KACKA@ JC Ø
= TI QKAHCBGLKA@u
¤
J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH
¤
J@H@AFCIKA@LK aA@^E@IDK J@LL@QCBBGL@G?BCLLKDCGICCIHGAIGKLL@QG?CDCGICJC @^ECLCRACG
?HKRCLC ¤ ?@ Ò á à ÞâÔ
Ì CL JKHG CICDCKL@uQ@A ^EKLC ]KLGAC JC Ø CL FGHG ÌQ@ACGJCBG
ã ¤ ?CK Ò âÞÿÔ CL JKHG CICDCKL@Q@A ^EKLC ]KLGAC JC ÿ CL FGHG ÌCLLCFCHKHG ã ¤
g[h I@L BK?G J@C FGHC CLLCFCHKHC J@L QEIHG QA@B@J@IH@u J@H@AFCIKA@ äåæ
çèéê ß Ó Òë Ô Ó Òë Ô u KL ]KACKA@ JC ÿ = ÏÐÐ0 vCK ÑÒ ÓÔÕÓ Ø à Ó
= Le@I@ACK QGH@IDCKL@JC EI FGHG EICJCF@I?CGIKL@= \C?@IKA@^EKLCHKHC]KF@IH@L@GARCH@ I@LLG
?QKDCG J@LL@aK?CuKL ]KACKA@JC Ø
= TI QKAHCBGLKA@u
¤
J@H@AFCIKA@ L@ QG?CDCGIC JC @^ECLCRACG @ JC?BEH@AI@LK ?HKRCLCH
¤
J@H@AFCIKA@LK aA@^E@IDK J@LL@QCBBGL@G?BCLLKDCGICCIHGAIGKLL@QG?CDCGICJC @^ECLCRACG
?HKRCLC ¨ ©´ º¶ª+´)+ *-«º+ -¸-¬,+ª+ ¸¶+ · ´µ + ¶)+*+·-)¸+´)¹º+ P¼» kÆÇ ÄÈÂÉÂſȾÂÆÈÊË ÛÐÏÐÏ
Pe@I@ACK QGH@IDCKL@ ÌEIK aEIDCGI@ ?CFF@HACBK AC?Q@HHG KLLeK??@ J@LL@= \EI^E@
oÒþ ÔÕ® ¯ B§ C Ý x Ó ° ÚÒþ á Ñ Ò ÓÔÔ Þ g N=<h
JG]@ Ó Ò þ ÔÕ þ } ± = zK
FRCKIJG ]KACKRCL@ JC CIH@AKDCGI@ y oÒ þ ÔÕ þ } ± y } Ú 5 Ú ® 3 Ý x 5 à á ×
TL Q@ACGJG IGI JCQ@IJ@ JKLLe@I@ACK ?GLG ?@ Ø
Õ
Ú gQGH@IDCKL@ KAFGICBGh= v@ Ø
Ú äåæ§è Ý oÒ þ ÔÕ % = ÛÐÏÐÛ
EIe@^EKDCGI@ JCH@A@IDCKL@LCI@KA@= AG]KIJG LC D@AC J@L QGLCIGFCG BKAKHH@AC?HCBG Õ àuGHHC@IC Bc@ LK ?GLEDCGI@ Ì Ó Òë Ô Õ = 3 Iy ç = I ç u BGI ß Ó Õ á = 3 Iy ç = I ç = TFQGI@IJG CL JKHG CICDCKL@y à Õ = 3 = á à Õ á = 3 = Þ JEI^E@ = 3 Õ àu = Õ â @ CL FGHG Ì Ó Òë Ô Õ Iy ç
= TL H@FQG Q@A AKCEI@A@
â
Ì CIICHG= P@ HAKC@HHGAC@ BGI
Ó Òë
Ô $ â
?GIG HEHH@ @ ?GL@ ^E@LL@ BGI
=
Õ â
@??@ ?GIG KIBc@ HEHH@ @ ?GL@ L@ HAKC@HHGAC@ BGI
ß Ó Òë Ô$ â = \EI^E@ C JKHC CICDCKLC ACBcC@?HC ?GIG Ò ÓÝÞÓßÝÔÕ Ò = Þ á = Ô uBGI = = ÛÐÏÐì íî ïðññòî óôõî ïò ñðö÷øùòîú÷ TL ]KLGA@ FCICFG J@LLe@I@ACK Ì á3
= bJ @??G BGAAC?QGIJGIG JE@ QG?CDCGIC JC @^ECLCRACG
Ó Õ ²
à= vGIG ?HKRCLC Q@ABcÌ
?GIG QEIHC JC FCICFG J@LLe@I@ACK QGH@IDCKL@= w@A
á 3 > þ > â
@?C?HGIG JE@ GARCH@Q@ACGJCBc@= w@A þ
Õ â
u cKC HA@
GARCH@u LK ?GLEDCGI@ JC @^ECLCRACG
Ó Õ â
u Bc@ Ì CI?HKRCL@ @@?@IJG EI FK???CFG LGBKL@ J@LLe@I@ACK QGH@IDCKL@u @ JE@
GARCH@K F@HK K?CIHGHCBK= w@A þ
â
cKC EIeGARCHK Q@ACGJCBK=
\KL ACHAKHHG JCaK?@ ?C J@JEB@aKBCLF@IH@Bc@LKHAKC@HHGACKJCJKHG CICDCKL@ Ò
ÓÝÞÓÝß ÔÕ Ò á à ÞÿÔ QK??K Q@A Ó Õ à ?@@ ?GLG ?@ Le@I@ACK HGHKL@Ì FKCGA@JC â uBc@Ì CL ]KLGA@J@L FK??CFG LGBKL@JC Ñ = \EI^E@ 3 ÿ á 3 â uBCGÌ ÖÿÖ 3 ³ = TL ]KLGA@JC Ñ CI Ó Õ á à@ Ó Õ
àÌCJ@IHCBGJEI^E@Q@A LK BGI?@A]KDCGI@J@LLe@I@ACKuKIBc@CL ]KLGA@JC
ÖÓß ÌCJ@IHCBG= ECIJCuKL QACFG QK??KCG Q@A Ó Õ àu LK ]@LGBCH Ì ß Ó Õ ÖÿÖ =
@L ACHAKHHG J@LLeGARCHK I@LLG ?QKDCG J@LL@ aK?CuLK BEA]K JC @I@ACK þ
Õ â Ì J@?BACHHK JK ß Ó Õ ²´ ÚÒ á Ô = PK
HKI@IH@ J@LLeKIGLG ACBcC@?HG Ì
äåæ Ó $ â é x x Óµ ÚÒ Ó Ú á Ó Ô Õ à & PeKIGLG Ì " = ÛÐÏÐ íî ïðññòî óôõî ñîö÷
TL AKBG J@LLe@I@ACK QGH@IDCKL@ Ì^EKLCHKHC]KF@IH@JC]@A?G I@C BK?C Ø
>â @ Ø Ù â = w@A Ø >â
u CL FGHG Ì ^EKLCHKHC]KF@IH@ EEKL@KL BK?G Ø
Õ á
àuJ@?BACHHG I@LLe@?@ABCDCG QA@B@J@IH@=
w
@A Ø Ù
â
uLe@I@ACK QGH@IDCKL@ Ì ?HA@HHKF@IH@ BGI]@??KLeEICBK QG?CDCGI@ JC @^ECLCRACG Ì
Ó Õ â
u@J Ì ?HKRCL@= TI
QKAHCBGLKA@ Q@A Ø
â
@?C?H@ LK aA@^E@IDK J@LL@ QCBBGL@ G?BCLLKDCGICuQ@A Ø
Õâ
IGI @?C?H@ g]@JC @?@ABCDCG <=<=<h=
@LL
K EAKuCI K?BC??K BÌ C ]KLGA@ JC ØuL@ BEA]@ AG??@@ RLE ?GIG L@ K?BC??@ J@LL@QG?CDCGIC JC @^ECLCRACGuCI AG??G
?@ Le@^ECLCRACG Ì CI?HKRCL@u CI RLE ?@ Ì ?HKRCL@= PK QG?DCGI@
Ó Õ â Ì ?HKRCL@ Q@A Ø Ù â uCI?HKRCL@ Q@A Ø >â = P@ KLHA@
QG?CDCGIC JC @^ECLCRACG @?C?HGIG ?GLG Q@A Ø
>â
@ ?GIG ?HKRCLC=
ÛÐÏÐ
w@A Ø
â
Le@I@ACK QGH@IDCKL@ Ì FGIGHGIK ?HA@HHKF@IH@ BA@?B@IH@= GI @?C?HGIG QG?CDCGIC JC @^ECLCRACGu L@ GARCH@
?GIG HEHH@ CLLCFCHKH@u w@A HEHHC C JKHC CICDCKLC
Ó Òë Ô H@IJ@ K á %
= TL H@FQG Bc@ CFQC@K LK QKAHCB@LLK Q@A AKCEI@A@
á % ̪4210uCIaKHHC w y ê ¶ · ° ÚÒþ áÓ ý á Ø ÓÔ > % = w@A Ø Õ â
BÌLK QG?CDCGI@JC @^ECLCRACG
Ó Õ â
= EHH@ L@ KLHA@GARCH@?GIG CLLCFCHKH@ BGF@I@L BK?G QA@B@J@IH@= PK
QG?CDCGI@JC @^ECLCRACG ÌCI?HKRCL@u@??@IJG EI QEIHG JC ¸@??G=
w
@A Ø
>â
BC ?GIG JE@ QG?CDCGIC JC @^ECLCRACG y Ó¹ Õ ² ° á × ý = PK QG?CGDCGI@ Óy Ì CI?HKRCL@ gFK??CFG LGBKL@ JC Ñhu LK QG?CDCGI@ Ó é
Ì ?HKRCL@ gFCICIG LGBKL@ JC Ñh= TL ]KLGA@ JC Ñ I@C QEIHC JC @^ECLCRACG Ì º z þ Õ º ý Ø ° á × ý = w @A
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
þ > á z þ BÌ?GLG EIeGARCHK CLLCFCHKHK= w@A þ Õ á z þ EIeGARCHK CLLCFCHK @ Ó Õ Ó é @^ECLCRACG ?HKRCL@= w@A á z þ > þ > z þEIeGARCHK CLLCFCHKHK @ EIK Q@ACGJCBK= w@A þ
Õ z
þ LK QG?CDCGI@ JC @^ECLCRACG CI?HKRCL@
Ó Õ Óy
u EIeGARCHK LCFCHKHK K
F@HK K?CIHGHCBK I@LLK A@CGI@
Ó Óy
uEIeGARCHKCLLCFCHKHK KF@HK K?CIHGHCBKI@L QK??KHGI@LLKA@CGI@
Ó >Óy u
ß Ó >â
u
EIeGARCHK CLLCFCHKHK K F@HK K?CIHGHCBK I@L aEHEAG I@LLK A@CGI@
Ó >Óy u ß Ó â =
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
-1.0
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
-1.0
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1.0
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
-1.0
-0.8
-0.6
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1.0
ÛÐÏÐ îòîøö÷ ï÷úúî ïðññòî óôõî Pe@I@ACK QGH@IDCKL@ ]K K % ?@ ÖÓÖ$ %= \EI^E@HEHH@ L@GARCH@ ?GIG LCFCHKH@= bIKLCDDG C BK?Cu KL ]KACKA@ JC Ø=
PK J@AC]KHK Ì Ó Ò Ó á ÚØ Ó Ø= \EI^E@ Ó Õ ÓÝ Õ â
Ì ?GLEDCGI@ JC @^ECLCRACG Q@A HEHHC C ]KLGAC JC Ø= P@
KLHA@ @]@IHEKLC QG?CDCGIC JC @^ECLCRACG ]@ACBKIG
Ó Õ Ø ² ° ØÒ Ø á à Ô = zGIJCDCGI@I@B@??KACK KIBc§ @?C?HKIG Ì Bc@ ØÒØ á à Ô Ù â BCGÌØ Ù àG Ø . â = w@A Ø àu 5 Ø á Ø >
ØuJEI^E@ @?C?HGIG ^EKHHAG QG?CDCGIC JC @^ECLCRACG y Ó 3 Õ á ° Ø 5 Ø á Ø Ó Õ á ° Ø á 5 Ø á Ø Ó ý Õ ° Ø á 5 Ø á Ø Ó Õ ° Ø 5 Ø á Ø &
w @A Ø >â uØ Ø á Ø â = \EI^E@ @?C?HGIG ?GLG L@QG?CDCGIC Ó 3 @ Ó = TI ?CIH@?Cy Ø >â y JE@QG?CDCGIC JC @^ECLCRACG ?HKRCLC Ó 3 @ Ó u@J EIK CI?HKRCL@ ÓÝ â . Ø .
ày EIK ?GLK QG?CDCGI@ JC @^ECLCRACG
ÓÝ
?HKRCL@=
Ø
ày HA@QG?CDCGIC JC @^ECLCRACG ?HKRCLC
Ó 3 u Ó @ ÓÝ u@ JE@ CI?HKRCLC Ó @ Ó ý =
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
-1.0
-0.6
-0.2
0.2
0.6
1.0
1.4
1.8
2.2
-2.0
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2.0
ÛÐÏÐ ú ñ÷øïðúð ô ôø ñòîøð ôðöîøö÷ fIK QACFCHC]K CI J@LLK aGADK K??@IKHK Ì y Ñ Ò ÔÕ á ! = Ñ» Ò ÔÕ å Ò á ÔÕ Ò á Ô&>]CJ@IH@F@IH@u Le@?C?H@IDK JC KLBEI@ QG?CDCGIC JC @^ECLCRACG JCQ@IJ@ JKL aKHHG Bc@ ?CK FCIGA@ G FKCGA@ JC à= TL
QKAKF@HAG Ì KJCF@I?CGIKL@= w@A
I àBC?GIG ?GLG LK QG?CDCGI@JC @^ECLCRACG ?HKRCL@ Õ â @^E@LLK CI?HKRCL@ Õ ' = w@A >
àu Bc@ BGAAC?QGI@ KL BK?G JC J@RGL@ AK]CHuG JC AKIJ@ ]@LGBCH KIGLKA@ J@L QCKIGu BGFQKCGIG KLHA@ JE@
QG?CDCGIC JC @^ECLCRACG y ¹ Õ ²MN = >??@ ?GIG ?HKRCLCu F@IHA@ Õ â Ì CI?HKRCL@u BGF@ ?C J@JEB@ JC?@IKIJG CL AKBG JC Ñ = TL JKHG CICDCKL@ Ò ÝÞ ß ÝÔÕ Ò á" ÞâÔ cK @I@ACK HGHKL@ â
= T LC]@LLC BACHCBC J@LLe@I@ACK ?GIG y Q@A Ù ày þ 3 Õ á ? á 3 @ gLC]@LLG JCFCICFGu Õ â h@þ Õ ? 3 @ gLC]@LLG JCFK??CFGu Õ' h= Q@A > à y þ 3 JC]@IHK EI LC]@LLG JCFK??CFG LGBKL@uCL LC]@LLG JC FCICFG Ìþ ý Õ á ¼ uBc@BGAAC?QGIJ@KLL@
JE@ ?GLEDCGIC ?HKDCGIKAC@
¹ = \EI^½@ þ Õ â Ì EI LC]@LLG BACHCBG ?GLG ?@ BGCIBCJ@ BGI þ 3 u CL Bc@ KBBKJ@ ?@ | Õ 3 CI HKL BK?Gu @??@IJG â > þ u
LeGARCHK Ì Q@ACGJCBK= TL Q@ACGJG Ìy
o Õ ® ¾ Ý x ´ Ò á Ñ Ò ÔÔ Þ ?@ 3 u o Õ Ú ® ¿ÀÁÁÂ J B ¼ C y ¾ x ´ Ò á Ñ Ò ÔÔ Þ ?@ > 3 = PK QG?CDCGI@ Õ " Ì AKCEIHK ?GLG ?@ 3 CL H@FQGÌy ë Õ ® ¾ y ¾ x ´ Ò á Ñ Ò ÔÔ &
TL ]KLGA@ JC Ì JKHG JKLLK BGI?@A]KDCGI@ J@LLe@I@ACK= >??@IJG Ñ Ò " Ô Õ Ñ Ò á" Ô u J@]@ BGCIBCJ@A@ BGI CL ]KLGA@ CICDCKL@u BCGÌ ß Õâ =
v@FQA@ Q@A LK BGI?@A]KDCGI@ J@LLe@I@ACKu ß
Õ ²´ Ò á Ñ Ò ÔÔ u JEI^E@ ^EKIJG Õ â u ß Õ ²´á þ 3 Õ ² 5 Ú á à= TL ]KLGA@J@LFK??CFG ß
ÌAKCEIHG ^EKIJGuLEIG LeGARCHKuÑ Ò
Ô
Ì FCICFG= v@ Ù àCL FCICFG ÌAKCEIHGCI
Õ â
?@
>
àuCL FCICFG Ì AKCEIHG CI Õ y = TL JKHG CICDCKL@ Ò ÝÞ ß ÝÔ Õ Ò á" Þ ÃI 6 Ô cK @I@ACK HGHKL@ 3 # Q@A #
AKIJ@u LeGARCHK Ì Q@ACGJCBK Q@ABc§ LK
]KACKRCL@Ì EI KIGLG= TL FGHG Ì LK AGHKDCGI@BGFQL@HK= TL Q@ACGJG Ì
o Õ ® " y" x ´ Ò 3 # á Ñ Ò ÔÔ Þ Bc@ Q@A #
AKIJ@uKL QACFG GAJCI@ CI
3 p u ]KL@ " p = @LL@QG?CDCGIC JC @^ECLCRACG Õâ @ Õ ' uLeKBB@L@AKDCGI@ÌIELLK Ü Õâ uJEI^E@ Q@A # AKIJ@LK ]K BGF@ # CI Õ â @ á# CI Õ ' = w @A Õ "
uCL BG?@IG Ì IELLGu@ JKLLe@^EKDCGI@ J@L FGHG ACBK]G
Ü Õ á uBCGÌ Ü Õ á = @ ?@E@Bc@ LK
BGFQGI@IH@ ]@AHCBKL@ J@LLK A@KDCGI@ ÌIELLK=
ÛÐÏÐ( vHKIJKAJ= ÛÐÏÐ0 vHKIJKAJ= ÛÐÏÐÏ2 vHKIJKAJ= ÛÐÏÐÏÏ P@ GARCH@?GIG HEHH@ LCFCHKH@Q@A 6 â = PeGACCI@Ì ?HKRCL@ ?@ @?GLG ?@ 6 3 = ÛÐÏÐÏÛ
TL FK??CFG J@LLe@I@ACK QGH@IDCKL@ Ì
á à= TL JKHG CICDCKL@ cK @I@ACK á3 = \EI^E@ CL FGHG Ì CLLCFCHKHGu @ ß Ó â Q@A
HEHHC C H@FQC QG?CHC]C= TL H@FQG Q@A AKCEI@A@
% Ì JKHG JK o Õ ® éê Ý x Ó ´ ÚÒ 5 à Ó á 3 Ô Þ
Bc@ Ì CIICHG= EKIJG ë ]K KJ CIICHGu
Ó
]K KJ CIICHGu @ LeKBB@L@AKDCGI@ H@IJ@ KL LCFCH@ JC
³ 3 é Bc@ Ì à=
AKCGI@]GL@ K?Q@HHKA?C Bc@ ^EKIJG ë Ì AKIJ@u CL FGHG ?CK ]CBCIG KL FGHG EICaGAF@F@IH@ KBB@L@AKHG 8
Ó 8 ÿ ë ç = TI QKAHCBGLKA@ BC ?C K?Q@HHK Bc@ ß Ó ?CK ]CBCIG K 8 ÿ ë= w @A BKQCA@ ?@ EI HKL@ 8 ÿ
@?C?H@ Ì ?EBC@IH@ BKLBGLKA@ CL LCFCH@
äåæçèéêÒ ß Ó á ë Ô = vCK ß Ó
Bc@ë ?C QG??GIG @?QACF@A@CI aEIDCGI@ J@LLK Ä y 8 ÿ Õ äåæ èéê Å Æ µ ÚÒ ° à Ó á à Ú Ôá® Ý x ´ ÚÒ 5 à á 3 ÔÇ È & xA K QG??G ?BAC]@A@ ß Ó
BGF@LeCIH@AKL@ J@LLK ?EK J@AC]KHK CI
Ó y µ ÚÒ ° à Ó á à Ú ÔÕ à ® Ý x ´ ÚÒ 5 à á 3 Ô 5 à &
vG?HCHE@IJG @ AKBBGLC@IJG 8 ÿ Õ à á® ê Ý x à ´ ÚÒ 5 à á 3 Ô à 5 à à Þ
Bc@ Ì ICHG= w@A LK J@H@AFCIKDCGI@ JC 8
Ó u JG]A^ BKLBGLKA@ äåæçèéêÒ Ó Òë Ô á 8 ÿ ë á 3 ë Ô
= vC QE^ QAGB@J@A@ BGF@ ?GQAK
KIBc@ ?@Ì QC BGFQLCBKHG=
ÛÐÏÐÏì
TL FGHG Ì Q@ACGJCBG Q@A HEHHC C JKHC CICDCKLC BGI @I@ACK I@KHC]Ku IGI Ì Q@ACGJCBGu@J Ì CLLCFCHKHGu Q@A C JKHC CICDCKLC
BGI @I@ACK FKCGA@G EEKL@ K
â
= zeÌ EIK ?GLK ?GLEDCGI@ ?HKDCGIKACKuCI
Ó Õ à= w @A ÓÝ Õ 3 @ ß ÓÝ Õ à Le@I@ACK ]KL@ 3 = Bc@ Ì QG?CHC]K= \EI^E@ Ó $ % = TL ]KLGA@ K?CIHGHCBG J@LLK ]@LGBCH Ì ´ ÚÒ 3 ÔÕ à= w@A ÓÝ Õ 3 @ ß ÓÝ Õ á
àu CL QEIHG ?C FEG]@ ]@A?G ?CIC?HAK JCFCIE@IJG CL ]KLGA@ K??GLEHG J@LLK ?EK ]@LGBCH=
vEBB@??C]KF@IH@ CI]@AH@ LK ]@LGBCH= \EI^E@ CL FCICFG J@LLK ]@LGBCH Ì
á
àu ^E@LLK J@L JKHG CICDCKL@= TL FK??CFG Ì
AKCEIHG CI
Ó Õ
à gBc@ Ì CL FCICFG J@LLe@I@ACK QGH@IDCKL@hu@]KL@
´ ÚÒ 3 à á 3 ÔÕ 5 Ú= ÛÐÏÐÏ GI JC?QGICRCL@ ÛÐÏÐÏ GI JC?QGICRCL@ ÛÐÏÐÏ GI JC?QGICRCL@ ÛÐÏÐÏ GI JC?QGICRCL@ ÛÐÏÐÏ( GI JC?QGICRCL@ ÛÐÏÐÏ0 GI JC?QGICRCL@ ÛÐÏÐÛ2 GI JC?QGICRCL@ ÛÐÏÐÛÏ GI JC?QGICRCL@ ÛÐÏÐÛÛ GI JC?QGICRCL@
KhGu?GLG ?@CL QGH@IDCKL@ Ì KAFGICBG=
RhTL LCFCH@ Ì
%
u @CL FGHG x ÌEICaGAF@F@IH@ KBB@L@AKHG=
Bh IELLK
Jh vGLG I@L BK?G S LeGACCI@ Ì ?HKRCL@= TL Q@IJGLG BKQG]GLHG LCI@KACDDKHG BGI KHHACHG Ì CL BK?G N= TL BK?G O Ì EI
G?BCLLKHGA@ KAFGICBG BGI KHHACHG K H@FQG CI]@AHCHG=
@h <uN= T BK?C U @ <Z QG??GIG BGI?CJ@AKA?C BGF@FGHC EICJCF@I?CGIKL@]C?HC CI EI ?C?H@FK JC ACa@ACF@IHG FGRCL@u
JC ]@LGBCH BG?HKIH@= Pe@I@ACK I@L ?C?H@FK ?GLCJKL@ ?C BGI?@A]K=
P¼P ½QÄÊÃÂÆÈÂ ËÂÈ¿ÊÀÂ
P¼ j kÆÇ lÆÀÃÊÇ ¿ ¾ÅÆÀÃÊÇÂ
P¼ ËÁÄÈ ¿¾¿ÀÁÂàÁÂÊ¿
ÛÐÐÏ íî ïðññòî óôõî õðø îööòöð
zGI?CJ@AG I@L ?@ECHG ?GLG CL BK?G JC QCBBGLG= w@A AKIJC L@ KH@AFKDCGIC A@?HKIG ]@A@u FK C AKBC BKFRCKIG
g BGF@ BKFRCKIG
ã h=
9 Pe@I@ACK Ì EI CIH@AKL@ QACFG J@L FGHG Q@A CL ?C?H@FK ?@IDK KHHACHG= TI QA@?@IDK JC KHHACHG x x ë þ Õ á ß Ó =
ECIJC KIBc@CI QA@?@IDK JC KHHACHG þ ÌEIK aEIDCGI@ JC P½KQEIG] Q@A C QEIHC JC FCICFG J@LLe@I@ACK QGH@IDCKL@
Ó
3
@
Ó
= \EI^E@ ?@IDeKLHAG ^E@?H@ JE@ QG?CDCGIC ?GIG ?HKRCLC= TL H@GA@FK JC P½KQEIG]u QEA J@BA@?B@IJG Le@I@ACKuIGI
Q@AF@HH@ JC BGIBLEJ@A@ CFF@JCKHKF@IH@ Bc@
Ó
3 @
Ó
?GIG K?CIHGHCBKF@IH@ ?HKRCLC= TIaKHHC x x ë þ Ì â IGI ?GLG I@LLK
QG?CDCGI@ JC @^ECLCRACG FK KIBc@ CI HEHHC C QEIHC J@LLG ?QKDCG J@LL@ aK?C CI BEC
ß Ó Õ â
= w
AGB@JG JEI^E@ BGI LeKIKLC?C
J@L LCI@KACDDKHGÉ= |C?BAC]G Le@^EKDCGI@ J@L FGHG BGF@EI ?C?H@FK gIGI LCI@KA@h J@L QACFG GAJCI@=
x x ë X Ó ÿ Y Õ X ÿ ÓáÓý á ÿ Y & PG KBGRCKIG J@L BKFQG Ì X â à à áOÓ á Y & @C QEIHC Ó Õ ² à ]KL@ X â à á Ú á Y Þ
Bc@ cK @IHAKFRC LC KEHG]KLGAC BGI QKAH@ A@KL@ I@KHC]K= @L QEIHG
â LK FKHACB@ Ì X â à à á Y Þ
Bc@ cK HAKBBCK I@KHC]K @ J@H@AFCIKIH@ QG?CHC]Gu^ECIJC cK JE@ KEHG]KLGAC A@KLC JC ?@IG GQQG?HG= TI BGIBLE?CGI@L@
QG?CDCGIC
Ó
3
?GIG K?CIHGHCBKF@IH@ ?HKRCLCuLK QG?CDCGI@
Ó Õâ
ÌCI?HKRCL@=
® Pe@I@ACK F@BBKICBK IGI Ì BGI?@A]KHK @ J@BA@?B@ I@L H@FQG= \EI^E@ @?C?H@ þz
Õ äåæçèéêþÒë Ô g þÒë Ô Ì LCFCHKHK JKL RK??G JK á3
h= \EI^E@ CL FGHGuI@L LCFCH@ ë Bc@ ]K K CIICHGuH@IJ@ KJ K]@A@ @I@ACK BG?HKIH@= PeCJ@K
CIHECHC]K Ì Bc@CL FGHG J@]@H@IJ@A@ KJ EIK ?GLEDCGI@JC @^ECLCRACGu?@IG Le@I@ACK BGIHCIE@A@RR@K J@BA@?B@A@CI]@B@
Bc@H@IJ@A@KL ]KLGA@ z
þ=
ÉzeÌ BGFEI^E@ EI H@GA@FK Bc@ K??CBEAK LeK?CIHGHCBK ?HKRCLCH KIBc@ I@L BK?G CI BEC
LK J@AC]KHK J@LLK aEIDCGI@ JC P½KQEIG] ?C KIIELLK CI KLHAC QEIHC Bc@ IGI ?CKIG CL QEIHG
JC @^ECLCRACG=
CL H@GA@FK JC KARK?CI g]@JC CL \@LLebIHGICG ÍSÎh LeCQGH@?C KCEIHC]K
I@B@??KACK ÌBc@LeCI?C@F@ J@C QEIHC CI BEC x
x ë
þ
Õâ
IGI BGIH@IK CIH@A@GARCH@ J@L ?C?H@FK
K QKAH@CL QEIHG ?HKDCGIKACG=
@L IG?HAG BK?G ^E@?HK CQGH@?C Ì ?GJJC?aKHHK=