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ࢰ஼ѱ൑‫وޑ‬ӛ
ӧፄᚇ‫܈‬όܴዴ‫ޑ‬௃‫ݩ‬ΠǴΓ                                            ཮           ӵ    Ֆ    ຾           Չ           ௢           ౛       ǻ
   ౜жЈ౛Ꮲ֋ນ‫ॺך‬ǴΓ               ᜪ       ‫ޑ‬       ᡄ       ᒠ           ௢       ౛ૈ            Κ           ѝ       ࢂ   ύ       ΢   ำ
  ࡋǴԶ Ъ ѝ ଺ Α ፾ ࡋၮ Ҕ
   ՠ ‫ॺך‬ᒣ ᇡ ‫ ک‬ଛ ӝ ኳ Ԅ ‫ޑ‬       ૈ       Κ       ࠅ       ຬ           ம        Ǵ೭           ᗺ           ӧ       ᄽ ϯ         ΢   ߚ
  த Ԗ ճ Ƕ‫ॺך‬ಞ ᄍ ӧ ፄ ᚇ     ‫ޑ‬       ୢ       ᚒ       ྽           ύ           ‫ פ‬൨       ኳ           Ԅ           Ƕ
                                                                                                           -Brain Arthur



                     !   ! "
#     $    % &' (
              &      )*    +     % &'
                                   ,
  -      #   $-       !      (
(   .       #   $ ( ! % &'
            / 0 )*     +    % ,'
                               1    (
        . % ,' .
             1     #    $ 2       3 $


                                                                                                                               -1-
LTCM Ϻ ω ‫ޑ‬Ѩ ௳
              1992ԃ12ДǴ‫ ܌‬ᛥ ߐ л ‫ ׌‬Ϧ љ ȐSalomon Brothersȑ߻ ဠ ٣ ཮ ୋ Ь ৢ
             ऊ ᑣ ఘ ճ ࠶ ྶ ȐJohn Meriwetherȑྗഢ ಔ ᙃ ΋ ঁ ფ Є ი ໗ Ǵ຾ Ε ߎ
            ᑼ ѱ ൑ ት ఠ Ƕ30ԃ‫ ޑ‬ᙍ ཰ ғ ఱ ύ Ǵఘ ճ ࠶ ྶ ࢂ ঁ р Α Ӝ ‫ ޑ‬᛾ ‫ چ‬Ҭ ܰ
              ଯ Ћ ǴΨ ࢂ ঁ ߚ Υ ‫ ߎ ޑ‬ᑼ π ำ ৣ Ƕ




        !          !   .           #     $      (
    !        .     #   $ 2    !
(             .          4 32 $          3
               .              .   (
        .                .    5       .      !! *
            $ 67       8   .          .* $    66
                                                                       -2-
LTCM Ϻ ω ‫ޑ‬Ѩ ௳
ఘ   ճ   ࠶ ȐJohn Meriwetherȑε ᖌ င ፎ Α ‫ ٿ‬Տ ᒍ ‫ ن‬ᅟ ዛ ள Ь Ǵ࿶ ᔮ
            ྶ
Ꮲ ৎ ᗌ উ অ ථ ȐMyron Scholesȑ‫ک‬ᛥ դ ੝ ವ Ⴅ ȐRobert MertonȑǴ
(Fischer Black ࡕٰ у Ε )




                                                            -3-
LTCM Ϻ ω ‫ޑ‬Ѩ ௳
  ި ౻ ‫ ޑ‬ሽ ॶ ᔈ ၀ ӝ ౛               Ӧ   ϸ   ࢀ   ΋   ৎ   Ϧ   љ           ᕇ           ճ           ‫ޑ‬           ወ           Κ     ‫ک‬ଛ                       ว                   ި                       ճ    ‫ ޑ‬Н
  ྗǶԶ ΋ ҽ ᒧ ᏷ ៾ ࠨ             ऊ       ‫ ޑ‬ሽ     ॶ ό ໻ ໻             ‫ڗ‬           ،           ‫ܭ‬           ኱           ‫ޑ‬        ި ౻                   ‫ޑ‬                   ሽ                       ਱        ǴԶ Ъ
ᗋ ᆶ ࠨ ऊ ‫ډ‬ය ߻ ‫ ޑ‬೭          ΋           ԃύ      ǴΓॺ ჹ           ި           ౻           ሽ           ॶ           ᅍ           ຳ ‫ޑ‬                ղ                   ᘐ                       Ԗ           ᜢ Ƕ
   ၮ Ҕ ኧ Ꮲ ‫ע‬྽ ύ ‫ ޑ‬ό               ዴ    ‫ࡋ ۓ‬     ᕭ λ Ǵᡣ                 Ҭ           ܰ           ঩           ჹ           ‫ܭ‬     ި ౻                      ሽ                   ਱                       Ԗ     ᆒ ྗ‫ޑ‬
 ղ ᘐ ٩ Ᏽ
    Black-Scholes Model




                                                              LCTMҬܰ฼ౣ
                                                                 ࡭ Ԗ ೏ ե ՗ ‫ޑ‬                                                     Ԗ       ሽ                   ᛾                   ‫چ‬
                                                              ȐEX:໒ ว ύ ୯ ৎ                                                  ว       Չ                   ‫ޑ‬                   ໸       ‫چ‬               ȑ
                                                                  ፤ ‫ ޜ‬೏ ଯ ՗ ‫ޑ‬                                                    Ԗ   ሽ ᛾                                         ‫چ‬
                                                              ȐEX:ऍ ୯ ࡹ ۬ Ϧ                                                  ໸       ȑ
                                                                                                                                                                                                              -4-
LTCM Ϻ ω ‫ޑ‬Ѩ ௳
ଆ               ߃                1994‫5991ک‬೭ ‫ ٿ‬ԃེ ǴLTCM‫ ޑ‬ᵱ ‫ ׫‬ၗ ӣ ൔ ౗ ຬ ၸ Α 40ʘ      Ƕௗ
            Π               ٰ     ‫ ޑ‬൳ ԃǴ௃ ‫ ݩ‬ຫ ٰ ຫ ӳ Ǵ‫ډ‬Α 1997ԃ‫11 ޑ‬ДǴLTCMૈ ୼        ӣ ൔ
    ๏               ‫׫‬            ၗ ‫ ޑ ޣ‬ຬ ᚐ ၗ ҁ ஒ ߈ 21ሹऍ ϡ Ƕ1998ԃ߃ ǴLTCM‫ ׫ע‬ၗ        ಔ ӝ
        ቚ               у         ‫ډ‬Α 1300ሹऍ ϡ ǶǶ
࣮               ΢               ѐ ൩ ӳ Ⴝ LTCMว ౜ ࢌ ᅿ ё а வ ѱ ൑ డ ค ॥ ᓀ ᄧ р ᒲ ٰ ‫ޑ‬   ઝ   ஏ



                                                                  1994ԃΒДᕴၗౢ13ሹ ऍ ϡ
                                                                  1994ԃࢂ 19.9%
                                                                  1995ԃࢂ 42.8%
                                                                  1996ԃࢂ 40.8%
                                                                  1997ԃࢂ 17.1%
                                                                  LTCM‫ ޑ‬ၗౢᕴॶ ऊ 50ሹ ऍ ϡ
                                                                  ສ ී ߈ 1250ሹ ऍ ϡ
                                                                   ‫ ܫ‬ε ଄ ୍ ᄫ ఎ ຬ ၸ 20७


                                                                                          -5-
LTCM Ϻ ω ‫ޑ‬Ѩ ௳
 1998ԃ12ДǴѱ ൑ ว ғ Α “ཀ      གྷ   ό ‫ ୏ ޑ”ډ‬ᑲ Ǵ೽ ϩ চ Ӣ ࢂ җ ‫ ߮ ܭ‬ᛥ
ථ ‫ ܦ‬Ж ໸ ୍ ǴᏤ ठ LTCM‫ޑ‬       ሽ ॶ ཞ Ѩ Α 90ʘ Ƕҗ ‫ ܭ‬Ԝ ໨ ୷ ߎ ᝢ ॷ ‫ޑ‬
  ၗ ߎ ຬ ၸ Α 1250ሹऍ ϡ Ǵε      ฽ ‫ ޑ‬ᖝ ཞ ‫ ݢ‬Ϸ Α ӄ ౚ ࿶ ᔮ Ƕ
 ࣁ Α ᗉ խ ߎ ᑼ ѱ ൑ ‫ ׳‬ε ጄ ൎ    ‫ ޑ‬஝ ༥ Ǵફ ऊ ᖄ ٖ ᓯ ഢ ሌ Չ ಔ ӝ Α 36ሹ
   ऍ ߎ Ǵ‫ ڐ‬շ Ờ ֚ Ƕ                   LTCMҬܰ฼ౣ
                                        ວ ຾ ߮ ᛥ ථ ࡹ      ۬   ໸   ‫چ‬      (Ⴃ ය   ΢       ᅍ       )
                                         ፤ ‫ ޜ‬ऍ ୯ ࡹ ۬     ໸   ‫چ‬       (Ⴃ ය Π        ຳ       )
                                    ่ ݀ ၶ ‫ډ‬
                                          ߮ ᛥ ථ ᐽ К ቃ    ຨ    Ǵ໸ ‫ چ‬ሽ ਱ ε ຳ
                                           ၗ ߎ ෢ Ε ऍ ୯   ࡹ   ۬ ໸ ‫ چ‬Ǵ໸ ‫ چ‬ሽ ਱                        ε   ᅍ



                                     ่   ֽ
                                             ӧ߮ ᛥ ථ ‫ ک‬ऍ ୯ ‫ ٿ‬ᓐ ᝄ ख़ ᖝ ཞ Π Ǵ
                                             LTCMઇ ౢ Ǽ
                                             16ৎ Ϧ љ ಔ ԋ ‫ ޑ‬ሌ Չ ი ӕ ཀ ቚ ၗ 36.25
                                             ሹ ऍ ϡ ๏ LTCMǴ٠ ௗ ᆅ LTCM
                                              FEDӧ9Дǵ10ДϷ 11 ДӚ फ़ ৲ 1ዸ
                                              (0.25%)                        -6-
LTCM Ϻ ω ‫ޑ‬Ѩ ௳
Ѩ       ௳           ‫ޑ‬           ‫ޔ‬       ௗচ   Ӣ   ࢂ   ߮   ᛥ   ථ   ϸ   த   ‫ޑ‬   ଄   ࡹ֚   ᜤǴؒ                        Ԗ               ΋               ঁ                   Γૈ       Ⴃ       ਑           ‫ډ‬Ƕ
                 LTCMϣ ೽ ‫ ޑ‬Γ ‫ ע‬೭ ൑ ߎ ᑼ ‫ ؠ‬ᜤ К բ ԭ ԃ΋ ၶ ‫ ܁ ޑ‬౦ ॥ ኪ Ǵᄛ ྄ Α д ॺ
                ֹ ऍ ค લ ‫ ޑ‬ᙔ კ ी Ⴤ ‫ ک‬ᆅ ౛ ೘ ᘻ Ƕ
ਥ       ҁ           চ           Ӣ    ӧ Ӛ ᅿ ᜪ ࠠ ‫ ߎ ޑ‬ᑼ ѱ ൑ Ǵவ ફ ऊ ᛾ ‫ چ‬Ҭ ܰ                                                                      ‫܌‬                       ȐNYSEȑ‫ډ‬
    ቺ       ୯           ‫ޑ‬           DAXࡰ ኧ ǴӸ ӧ ๱ “ཀ ਑ ϐ Ѧ ”‫ ޑ‬ε ൯ ‫୏ ݢ‬
                ਥ         Ԕ ጕ ჹ ѱ ൑ ୏ ᑲ ‫ ޑ‬Ⴃ ी Ǵި ౻ ሽ ॶ ൂ В फ़ ൯ ၲ ‫01 ډ‬ʘ Ǵᔈ ၀
                            Ᏽ       ដ   ࠠ
                  ѝ Ԗ ‫005 ؂‬ԃω ཮ ว ғ ΋ ԛ Ƕฅ Զ Ǵ౜ ჴ ‫ ޑ‬ኧ Ᏽ ࠅ ๏ р Α ΋ ঁ ‫ ׳‬ё ᎞ ‫ޑ‬
                Ⴃ ෳ Ǻ‫ ؂‬ϖ ԃ൩ ཮ ว ғ ΋ ԛ
                 ೭ ΋ ᓎ ౗ ჹ ‫ ܭ‬LTCMٰ ᇥ ϼ ‫ ז‬Α Ǵ٬ ள д ॺ ค ‫ ݤ‬ճ Ҕ Ҭ ܰ Ꮿ ౣ Ⴘ ۩ ၸ
                  ᜢǴᝩ ុ ғ Ӹ Π ѐ Ƕ
                                                                                      B-Sኳ       ࠠ       ‫ޑ‬           ख़               ा               ଷ       ೛
                                                                                             ި       ౻       ሽ               ਱           Չ               ࣁ       ܺ    வ   ჹ       ኧ       த   ᄊ   ϩ   թ   ኳ   Ԅ   ǹ
                                                                                                ӧය ៾                         Ԗ           ਏ
                                                                                                                                     Ǵค ॥ ᓀ              ය       ϣ                            ճ   ౗   ‫ک‬   ߎ   ᑼ   ၗ
                                                                                             ౢ ԏ ੻                       ᡂ ኧ ࢂ ࡡ ‫ ޑ ۓ‬ǹ
                                                                                                ѱ ൑ ค                     ነ ᔔ Ǵջ όӸ ӧิ                                                        ԏ   ‫ک‬   Ҭܰԋ
                                                                                                   ҁǴ‫܌‬                      Ԗ ᛾ ‫ ֹ چ‬ӄ ё ϩ പ                                                    ǹ
                                                                                                 ߎ ᑼ ၗ                     ౢ ӧය ៾ Ԗ ਏ ය ϣ                                                     ค आ     ճ   Ϸ   ‫ځ‬   Ѭ
                                                                                              ‫ ܌‬ள (၀                         ଷ ೛ ࡕ ೏ ‫ ܫ‬క )ǹ
                                                                                                  ި ሽ ࢂ                     ೱុ ‫ ޑ‬Ǵό཮ Ԗ ँ                                                      ว   ‫܄‬   ި   ሽ   ၢ   ‫ޜ‬
                                                                                               ௃ ‫ ݩ‬ว                     ғ
                                                                                                                                                                                                                  -7-
LTCM Ϻ ω ‫ޑ‬Ѩ ௳
   1963ԃǴୗ      ቺ   Ѳ   ࢶ   ੝ȐBenoit Mandelbrotȑჹ ޲                           у                   ঢ               ୘               ཰       Ҭ   ܰ               ‫܌‬               ‫ޑ‬
  ා ޸ ሽ ਱ ‫ޑ‬        ੌ ୏ ௃ ‫ ଺ ݩ‬Α ࣴ ‫ ز‬Ǵд ૶ ᒵ Α ኧ В               ‫܈‬                           ኧ               ‫ڬ‬               ‫ޑ‬            ሽ ਱                ৡ               ౦           Ǵ
 ࣮ ࣮ ሽ ਱ ᡂ        ϯ ‫ ޑ‬ᓎ ౗ ࢂ ࡛ ኬ ‫ ޑ‬Ǵฅ ࡕਥ Ᏽ ኧ Ᏽ             ฝ                           р               კ               ‫׎‬                Ƕд             ว               ౜           Α
΋ ঁ ࡐ Ⴝ ႍ        ࠠ Ԕ ጕ ‫ ޑ‬ኳ Ԅ Ǵՠ Ԗ ΋ ঁ ࡐ ख़ ा ‫ޑ‬         ୔                           ձ                ࢂ ˇ                                ˇ Ԕ         ጕ               ‫ޑ‬
   “‫ ׀‬Ѓ ”ӧ फ़    Կ 0‫ ޑ‬ၸ ำ ύ К ႍ ࠠ Ԕ ጕ ‫ ׳‬጗ ᄌ Ȑ‫ـ‬                             კ                       ȑǶ
   ؒ Ԗ Һ Ֆ ଄        ࿶ ౛ ፕ ૈ ୼ ှ ញ Ꮘ ԛ ‫ ࡓ ۓ‬ᆶ ࠆ ‫ ׀‬౜                 ຝ
    ೭ ᅿ ౜ ຝ ᆶ        ่ ݀ ё ૈ ٰ Ծ ‫ ཮ ޗ ܭ‬চ η ໔ ‫ ז ޑ‬ೲ                    ϕ                       ୏               ᆶ               ፾       ᔈ       Ƕ




                                                                                                                                                                                          -8-
Ϟ           Ϻ               ѐ                   ό           ѐ       Pubǻ
        ଚ           փ           ‫ޑ‬   Γό    ࢂ       ࡐ   Ᏹ       ᔒ   ‫ޑ‬   ൳       ঁ           ఁ       ΢   Ǵ٥      ྶ   ӧ           ٗ‫ވ‬                  ள           ࡐ       ໒   Ј
        ՠ           ࢂ           ‫ځ‬      д ਔ ং Ǵଚ                  փ ჴ ӧ ϼ                  ၸ       Ᏹ   ᔒ  Ǵ০ ค                 ຀           ৢ       ϐ           Ѧ       Ǵ඀      ዗   ‫ک‬Ꮣ    ॣ   з
    д           Μ           ϩ        ᜤ‫ ڙ‬Ǵ‫ ځ‬д                   ΓΨ Ԗ ӕ                 ኬ           ‫ ޑ‬ག ‫ ڙ‬Ƕ
        ό           ۩           ‫ޑ‬       ࢂ Ǵ‫ޑ ڬ ؂‬                  р ৢ Γኧ                  р         Ε ࡐ ε Ǵؒ                  Ԗ           ܴ       ᡉ           ‫ޑ‬       ኳ   Ԅ ё ൻ     Ǵ‫܌‬      а
    ،           ‫ۓ‬           ѐ        ‫ ۓ ، ܈‬ό ѐ                 ՟ Я ԋ Α                ‫؂‬            ‫ ڬ‬Ѹ ໪ ଺ ‫ޑ‬              ΋           ၰ       ᒧ           ᏷       ᚒ       Ƕд ࡐ     གྷ ѐ      Ǵ
ՠ           ࢂ           ѝ           Ԗ ӧ д ᇡ ࣁ                 ε ೽ ϩ ‫ځ‬             д               Γ೿ ό ཮ ѐ            ‫ޑ‬           ఁ        ΢          ω        ѐ          Ƕ
        ‫ځ‬           д           ഻        ៿ ٗৎ ଚ փ                  ‫ ޑ‬Γ೿ य़                 ᖏ          Α ‫ک‬д ΋ ኬ                 ‫ޑ‬           ᜤᚒ                  Ǵ‫؂‬           ঁ Γ೿     ၂   კ   ଺
    ε           ӭ           ኧ         ‫ ځ‬д Γό ཮                  ଺ ‫٣ ޑ‬




                                                                                                                                                                                            89 $2 $




                                                                  8                                                                                                                              -9-
Ϟ                                   Ϻ         ѐ         ό                   ѐ      Pubǻ
  ‫ע‬El Farolଚ               փ                   ‫ޑ‬               ៝       ࠼     Ӏ ៝ ౗ ࣮               բ   ΋    ᅿ Ծ           ฅ      ౜ ຝ Ǵ٠ ଷ ೛ գ Ѹ ໪ ‫ פ‬р
ࢌ ঁ ౛ ፕ ٰ      у                   а               ှ                   ញ Ǵٗ᥵գ              ཮           ࡛ ᥵଺       ‫ګ‬           ǻ
  २ Ӄ Ǵգ Ѹ             ໪                   Ԗ               ঁ             ኳ ࠠ Ǵё а              ኳ        ᔕ Γॺ          ӵ       Ֆ ଺ ، ‫ۓ‬
   ‫ ځ‬ԛ Ѹ ໪ ‫ޕ‬           ၰ                   д               ॺ              ࢂ ٩ Ᏽ ϙ ሶ            ၗ         ૻ Ǵٰ         ղ        ᘐ ଚ փ ࢂ ց Ᏹ ᔒ
    Ԝ Ѧ Ǵᗋ Ѹ           ໪                   Ե               ቾ               ‫ډ‬Ǵό ࢂ ‫؂‬             ঁ          Γ‫ ޑ‬གྷ        ‫ݤ‬         ೿ ࣬ ӕ Ǵό ӕ ‫ ޑ‬Γ཮ ਥ Ᏽ
 ό ӕ ‫ ޑ‬চ ߾         ٰ                   ଺               ،                ‫ ۓ‬Ƕ




8                                                                                                                                                       -10-
Ϟ         Ϻ      ѐ             ό                   ѐ           Pubǻ
    ٥                   ྶ           ම           ࿶               ᠐           ‫ډ‬΋                      ጇ 60ԃж ᙑ       ൔ           ર       ΢       ‫ޑ‬   Ў   ക    Ǵբ    ‫ࢂ ޣ‬              Julian Feldman
    ຤                   ᅟ           ቺ           ୗ               ᇡ           ࣁ                ǴΓࡐ Ͽ ٩ ᎞         ᡄ           ᒠ
                                                                                                                         Ե ٰ ଺     ࡘ                       ، ‫ۓ‬    ǴԶ             ೸ ၸ ᙁ ൂ ‫ ޑ‬ೕ ߾
        Ϸ                   ჋           ၂           ᒱ               ᇤ           ᒱ                ᇤ ύ Ꮲ ಞ ǹ੝         ձ ࢂ Γॺ ಞ ᄍ                              வ ᕉ    ნ ύ            ᒣ ձ ኳ Ԅ Ǵ٠ ճ
            Ҕ                   ೭           ٤           ኳ               Ԅ           Ⴃ             ෳ ௗΠ ٰ ཮ ว       ғ ϙ ᥵Ƕ
    ި                   ѱ           ‫ޑ‬           ӭ               ‫ޜ‬           ‫܈‬                ଚ փ ࢂ ց Ᏹ ᔒ        Ǵ೿ Ӛ Ծ Ԗ ΋ ঺ ӝ Я ᡄ                                           ᒠ         ‫ޑ‬        ࣮        ‫ݤ‬   ‫܈‬   ኳ   Ԅ
    Γό                              ࢂ           ԝ               တ           โ                 ‫ ޑ‬໿ Ґ Ǵᒱ ᇤ        ‫” ޑ‬౛ ፕ ”཮ ೏ ‫ ܫ‬క
    ΋                   ૓            Γ‫ޑ‬                         ᓐ           တ                  ӧ ӕ ΋ ਔ ‫཮ څ‬       р ౜ ೚ ӭ ᅿ ଷ ೛ Ǵௗ๱                                           ӆ         ਥ        Ᏽ        ྽   Π ന ӝ
౛                   ‫ޑ‬               ଷ ೛                     ٰ    ଺                          р ، ‫ ۓ‬Ƕ೭ ΋         ᗺ ᡉ ฅ ᆶ ‫ ޑ ॺ ך‬В த ࿶                                       ᐕ         ࣬        ֍        ӝ       Ƕ =>
    ჋                   ၂            ࣮ ࣮                        Ǵӆ                              வ Չ ୏ ύ Ꮲ ಞ       ᆶ ፾ ᔈ




                                                                                                                                                                                           8:          ; .
                8                                                                                                                                                 :      <                          < 8:
                                                                                                                                                                                                     7     $& < -11-
                                                                                                                                                                                                               77
Ϟ                       Ϻ                ѐ                   ό                               ѐ                   Pubǻ
        ᙖ           ख़               ႝ               တ           ኳᔕ ᆶ                                ж           ౛   Γ
        ന           ӳ               చ               ҹ           ǺΓኧ                                 ό           ӭ   (<60Γ)‫ޑ‬                                  ௃               ‫ݩ‬               Π       ‫ډ‬ଚ       փ       സ   ΋    ݆       Ǵӵ       ݀       Γϼ       ӭ       ߾
ࡑ           ӧ               ৎ               ္
        ೛           ‫ۓ‬               Ӛ               ᅿ           ଷ           ೛           చ           ҹ           Ǵ٩       Ᏽ           ന       ߈           ൳           ຼ               ‫ޑ‬           Ⴃ    ෳ   ่       ݀       Ǵᒧ       Ҕ    ന   ӳ       ‫ޑ‬    ΋   ঁ       ٰ
    ،           ‫ۓ‬               ѐ               ‫܈‬           ό           ѐ
                        ΢               ‫ڬ‬               ؒ           Ԗ           ၸ           ࡋ   Ᏹ       ᔒ           ǵҁ           ຼ       ΋           ‫ۓ‬           ཮       Ᏹ               ᔒ
                        ೱ               ុ               Ο           ຼ           ၸ           ࡋ   Ᏹ       ᔒ           Ǵҁ           ຼ       ω           ཮           Ᏹ       ᔒ




                                                                                                                                                                                                                                                                             -12-
Ϟ           Ϻ   ѐ   ό   ѐ   Pubǻ
ӧ   ೭   ঁᖻ   ֽ   ္     ೿ གྷ ྽ Ͽ ኧ (ި ౻ ѱ ൑ ҭ ӕ )Ǻ
                         ε   ৎ
     ձ Γѐ       ଚ փ ਔ Ǵ‫ ࡑ ך‬ӧ ৎ ္ (ϸ ϐ ҭ ӕ )
 ଷ ೛ Ԗ ࢌ      ᅿ ೕ ߾ ‫ ܈‬ኳ Ԅ ૈ ᡣ ࢌ ٤ Ͽ ኧ Γၲ ԋ а ΢ Ҟ            ኱     Ǵ΋    ࢤ ਔ           ໔
 ࡕǴ‫ ځ‬д        Γ཮ ‫ ݙ‬ཀ ‫ډ‬೭ ঁ ೕ ߾ Ǵ຾ Զ ፓ ፾ ‫ک‬௦ Ҕ Ԝ           ΋        ೕ ߾    Ǵ‫ܭ‬        ࢂ       চ
ҁ ᕇ ճ ‫ޑ‬      Ͽ ኧ ᡂ ԋ ӭ ኧ Ǵ໣ ᡏ ‫ ޑ‬ፓ ፾ Չ ࣁ ᄛ ྄ Α চ     ٰ           Ԗ ਏ    ‫ ޑ‬ኳ    Ԅ               Ƕ




                                                                                                  -13-
౜                       ж                གྷ           ‫ݤ‬           VS໺ ಍ གྷ ‫ݤ‬
໺   ಍     གྷ ‫ ݤ‬Ǻ
        Black-Scholes Model (LTCM) / CAPM
        ‫ ೌ מ‬ϩ ‫( ݋‬ጕ и )Ǻ࣮ ި ሽ ‫ و‬༈ კ ǵҾ კ ‫ פ‬р ኳ Ԅ ᔅ շ Ծ ρ                                                                                     Ⴃ   ෳ   ҂
         ٰ ި ሽ ‫ و‬༈ =࣮ ၸ ѐ ଚ փ ‫ ޑ‬р ৢ Γኧ ٰ Ⴃ ෳ ҂ ٰ р ৢ Γኧ
Ҕ   ӕ       ኬ          ‫ޑ‬        ᡄ   ᒠ       ٰ               ኳ    ᔕ       ި   ౻       ѱ   ൑
చ   ҹ       Ǻ
        ວ    ‫ޑ‬             Γ>፤                  ‫ޑ‬               Γ => ި ሽ ΢ ᅍ (ϸ ϐ ҭ ฅ )
        ‫؂‬      ঁ           ႝ တ          ж               ౛       Γ(‫ ׫‬ၗ ‫) ޣ‬ё а ௦ ‫ ڗ‬྽ ਔ Ծ ᇡ            ࣁ       ന       ӳ       ‫ޑ‬       ೕ   ߾
        ၸ        ѐ          ‫ި ޑ‬         ሽ               ኳ       Ԅ ཮ ቹ ៜ ‫ ׫‬ၗ Γ౜ ӧ ‫ ޑ‬Չ ࣁ
        ౜          ӧ         ‫ ޑ‬ວ        ፤               ،        ฼ (ᆶ ‫ ٮ‬ሡ ό ѳᑽ)Ǵ཮ ٬ ި ሽ                 ౢ       ғ       ᡂ       ୏
        ౢ            ғ        Α ΋       ᅿ               ό         ᘐ ൻ ᕉ ‫ ޑ‬Ӣ ݀ ᜢ ߯




                                                                                                                                                        -14-
౜                               ж                       གྷ                   ‫ݤ‬                   VS໺ ಍ གྷ ‫ݤ‬
    ި           ౻                   ѱ               ൑           ኳ               ᔕ               ่                   ݀           Ǻ
                    ި           ሽ             ᕏ а           ό               ೕ           ߾           ‫ޑ‬           Б           Ԅ           ΢       Π           ᎜
                    ᎜ ᕏ ᡂ ౦ চ Ӣ ٰ Ծ ‫ ܭ‬ж ౛ Γ(‫ ׫‬ၗ                                                                                                                             Γ)໔ ‫ޑ‬   ϕ   ୏   ᆶ   ፓ   ፾   ǹԶ   ߚ   Ѧ   ೽   ፂ
                      ᔐ(ӵ ߮ ᛥ ථ ໸ ୍ ֚ ᜤ฻ Ѧ ೽ ख़ ε                                                                                                                            ٣ ҹ )
                     ި ሽ ‫ ޑ‬ᡂ ౦ Ԗ “ࠆ ‫ ݀ ่ ޑ” ׀‬౜ ຝ




่       ݀               ఼               က
            ࠆ               ‫׀‬               ౜           ຝ           Ǵค                      ‫ݤ‬               ٬           Ҕ           ౛       ‫܄‬           Չ       ࣁ   ຾   Չ   ှ   ញ
            ᔈ               ၀     ”፾ ᔈ Ꮲ ಞ ”ٰ ‫ ڗ‬ж ό ӝ ౛ ‫ ֹ” ޑ‬ӄ ౛ ‫” ܄‬
                                            ٬           Ҕ           ࣮               ՟       ӝ               ౛           ‫ޑ‬
              ࠆ ‫ ׀‬౜ ຝ ࢂ Ծ ฅ ੌ ౜ Ǵό ࢂ Ѧ ೽ ፂ ᔐ‫ ܌‬೷ ԋ Ǵҭ ߚ Һ Ֆ ΓՉ ୏ ‫ૈ ܌‬
             Ѱ ѓ
               ද ၹ Ӹ ӧ ‫ ܭ‬Ӛ ᅿ ѱ ൑ ‫ ޑ‬ሽ ਱ ε ൯ ‫୏ݢ‬ᡂ౦౜ຝǴଆ ྍ ‫ ܭ‬Γ ᜪ ‫္ ཮ ޗ‬
                                             ‫୏ݢ‬ᡂ౦౜ຝǴ
            ‫ ޑ‬চ η Ǵӵ Ֆ Ծ ‫ ך‬ಔ ᙃ ԋ ࣬ ϕ ٩ Ӹ ‫ ޑ‬ಒ ጏ ኳ Ԅ Ƕ
                                                                                                                                                                                                                             -15-
౜                                           ж                                   གྷ                               ‫ݤ‬                        VS໺ ಍ གྷ ‫ݤ‬
    ഡ       ճ               ୗ                Ǻ
                    ੿                ҅          ख़                 ा               Զ                       Ξ               Ԗ                   ཀ           က           ‫ޑ‬        ଷ     Ǵ஥ Ԗ ೚ ӭ
                                                                                                                                                                                       ᇥ                                                                           ”ଷ ೛ చ ҹ                     ”…
                    ଷ                ᇥ            ૈ               ୼               а                       ࡐ               Ͽ                   ‫ޑ‬           ܿ           Ջ         ”ှ ញ ”ࡐ ӭ ٣ ௃
                    Ѭ                வ              ࡑ             ှ               ញ                       ‫ޑ‬               ᕷ                   ᚇ           ౜           ຝ        ‫ ڬ‬ൎ Ǵ‫ ܜ‬ᚆ р ख़                                                                ा           ‫ޑ‬        ϡ   ન       Ǵ‫ך‬       ॺ       ω       ૈ       ᙖ
                Ԝ                ଺            р               Ԗ               ਏ                       ‫ޑ‬               Ⴃ                   ෳ
                    Ӣ                Ԝ                ख़               ा               ଷ                       ᇥ               ౛                   ፕ           ེ           ‫ޑ‬        ଷ       ೛           ഋ           ॊ           ΋           ‫ۓ‬       ό           ҅           ዴ
    ౛       ‫܄‬        Γଷ                                   ᇥ               ེ                   ‫ޑ‬                   ᒱ               ᇤ                   ଷ           ೛
                    Γό                            ཮               Ꮲ               ಞ
                    Γό                            ཮               ‫ׯ‬               ᡂ                       Ј               ཀ
                    Γό                            ཮               ࢎ               ೛                       р               ଷ                   ᇥ           ٠           у        а       ෳ           ၂
                    ό Ե                           ቾ               ੿               ჴ                       Ш               ࣚ                   ྽           ύ           ‫ޑ‬        Γᜪ                  Չ           ࣁ           ੝           ፦
    ଷ       ೛                   ”Γ‫ ޑ‬Չ ࣁ Ԗ ፾ ᔈ Κ                                                                                                                       ”ǴК ଷ ೛                                          ”Γࢂ ౛ ‫ޑ ܄‬                                               ”Ǵ‫ ׳‬ຠ ߈ ౜ ჴ Ǽ
    ѱ       ൑               ౜                ຝ             ᜤа                                 ှ                   ှ ‫ک‬Ⴃ                                            ෳ           Ǵό               ࢂ           ঁ           ᡏ           ‫ޑ‬           ፄ       ᚇ           ‫܄‬           ǴԶ       ࢂ   ѱ    ൑       ္       ೚       ӭ       Γ
ϐ       ໔               ‫ޑ‬                ༾                ֮ ‫ރ‬                             ᄊ                       ‫ک‬ಔ ᙃ
ᜢ       ᗖ               ӧ                ኳ                Ԅ               ǴԶ ߚ                                                    Γ                   Ǽ
                                                                                                                                                                                                                                                                                                                                     -16-
Ⴃ                           ‫ޕ‬               ҂                                ٰ
ૈցႣෳ҂ٰ‫៏ݾޑ‬
    ൳ Я ό Ӹ ӧ ё а ԋ ф Ⴃ ෳ ߎ ᑼ ѱ ൑ ‫ ޑ‬Б ‫ ݤ‬ǻ
     ࣽ Ꮲ ό ୼ Ӄ ຾ ǵ‫ ݩ ރ‬ϼ ፄ ᚇ Ǵό ‫ ى‬а ଺ р Ⴃ ෳ                                                                                                                                                          ǻ
Ͽ ኧ ‫ ޣ‬ᖻ ֽ
      ‫ ঁ ؂‬Γ ‫ ؂‬ԛ ᒧ 0‫1܈‬
       Ҟ ኱ ࢂ ԋ ࣁ Ͽ ኧ (ᒧ ‫ ډ‬ӭ ኧ Γ ؒ ᒧ ‫ ޑ‬ኧ ӷ )
ӧ   Ͽ           ኧ               ‫ޣ‬               ᖻ       ֽ       ္    ǴΓ ኧ ቚ у Ǵ٣ ௃ ཮ ᡂ ள ࡐ ό ΋ ኬ
            ୖ               ᖻ               Γ       ኧ       ӵ       ݀ ό ӭ Ǵ‫ ވ‬ৎ ‫ ฼ ޑ‬ౣ ό ӭ Ǵό ‫ ى‬а ఼                                                                                                       ᇂ   ‫܌‬   Ԗ   ё
        ૈ               ‫ޑ‬               ኳ           Ԅ
                    ఼   ё Ⴃ         က               ǺԖ                 ෳ      ‫ޑ‬   ኳ        Ԅ                             (ѱ ൑          Ӹ   ӧ       ё            Ⴃ           ෳ               ‫܄‬         )Ǵࠅ ؒ Γ ‫ ޕ‬ၰ
                       =>่ ݀                                                    (ѱ ൑   ሽ                               ਱ ᡂ         ୏      )཮ ٩              Ᏽ           ё               Ⴃ            ෳ ‫ ޑ‬ኳ Ԅ ‫و‬
            ୖ ᖻ Γ ኧ ӭ Ǵ‫ވ‬                                                    ৎ ‫฼ ޑ‬                      ౣ                  ཮ ఼           ᇂ ‫ ܌‬Ԗ           ё           ૈ               ‫ޑ‬             ኳ Ԅ ǴҺ Ֆ ё
             а Ⴃ ෳ ่ ݀ ‫ ޑ‬ኳ                                                   Ԅ ೿ ཮                         ೏               ว ౜           ǴԶ Ъ           ҥ ‫ څ‬௦                                      Ҕ
               ఼ က Ǻӵ ݀ ੿                                                  ‫ ޑ‬Ԗ Γ               ૈ                        ୼ ό            മ Զ ᕇ            Ǵ൩ ཮                                     ֎ Ї ‫ ׳‬ӭ Γ ຾
                      ΕǴՠ                                                     ‫ ؂‬຾ ٰ                            ΋            ঁ Γ          ൩ ཮ ஥           ຾ ཥ ‫ޑ‬                                        ฼ ౣ Ǵ‫ ע‬೭ ٤
                      Ͽ ໆ ‫ޑ‬                                                    ё Ⴃ ෳ                               ‫܄‬         Ӟ ௞          Ƕ (ѱ         ൑ όӸ                                     ӧ ё Ⴃ ෳ ‫) ܄‬
                                                                                                                                                                                                                        Damien Challet

                                                                                                                                                                                                                                   -17-
Ⴃ                   ‫ޕ‬            ҂                            ٰ
ம   ғ           (Neil Johnson)Ǻ
            ӵ     ݀ ѱ ൑ (ଽ Զ )Ӹ ӧ ё Ⴃ ෳ ‫ ܄‬ǴٗԖ ؒ Ԗ Б ‫ ݤ‬ё а ୀ ෳ ‫ډ‬ǻ
            ่      ݀ д ॺ ‫ ޑ‬ኳ ࠠ ё а ୀ ෳ р Ǻѱ ൑ ӧ ࢌ ٤ ਔ ‫ څ‬К ‫ ځ‬д ਔ ‫څ‬
        ‫׳‬        Ԗ Ⴃ ෳ ‫܄‬
            ё       Ⴃ ෳ ୔ ໔ (฼ ౣ ኧ Ҟ ෧ Ͽ )                        2                                                                                                                                          0 % .* 5
                                                                                                                                                                                                              $ 2
                                                                                                                                                                                                           ! 8
                    Ԗ           Γ           ଏ   р       ѱ       ൑                                                                                                                                         0 .
                                                                                                                                                                                                           $      $ .'
                    ೚           ӭ           Γ   ٬       Ҕ       Α       ӕ       ኬ     ‫฼ ޑ‬   ౣ                                                                                                                  ) 5
                                                                                                                                                                                                          #    $=
                    В    ༝ ի                    ऍ       ϡ       ༊       ౗           4000ԛ       ‫ޑ‬       ሽ    ਱   ᡂ           ୏       ᒣ        ᛽           р       ΐ       Μ       ӭ   ঁ   ё   Ⴃ   ය   ୔
                                                                                                                                                                                                                * $
                        ໔ǵΨ                         Ⴃ       ෳ       р       ‫ځ‬       ᡂ ϯ Б           ӛ       Ǵѝ       Ԗ           ΋       ԛ        Ⴃ           ෳ       ᒱ       ᇤ
            ӵ   ݀           ೭           ᅿ       (Ⴃ ෳ )ԋ ф ᡂ ԋ த ᄊ Ǵࡕ݀ ё ૈ ཮ ࡐ ။ ౦                                                                                                                         2 .* 5 $
                                                                                                                                                                                                                 8
                    ε           Њ           ௦   Ҕ       Ԝ       ΋       Б       ‫ݤ‬     =>‫ ׯ‬ᡂ ѱ ൑ ҁ ፦                                          =>ᄛ ྄ ೭ ໨ ‫ ޑ ೌ מ‬Ⴃ ෳ                                          2 0 $
                        ૈ           Κ                                                                                                                                                                         ! ( .
                                                                                                                                                                                                          <7
                                                                                                                                                                                                           7,      *
                                                                                                                                                                                                                8
                                                                                                                                                                                                             * $
                                                                                                                                                                                                                ! *
                                                                                                                                                                                                          2 .* 5 $
                                                                                                                                                                                                          #     $ ( .
                                                                                                                                                                                                          % $ 0*'
                                                                                                                                                                                                          /


                                                                                                                                                                                                                   -18-
፾                                           ᔈ                                                           ҁ                                       ሦ                                               ຬ                            ம                           ‫ޑ‬ᐒ                               ཮           Ь               က      ‫ޣ‬
    ѱ       ൑               Ⴄ                   ‫ڰ‬                           Һ                       ‫܄‬                           (ό ౛ ‫܄‬                                                      )‫ ޑ‬ୢ ᚒ ᆶ ࠆ ‫ ׀‬౜ ຝ ‫ ޑ‬ှ เ
                ό               ࢂ                       ঁ                       ᡏ                       ‫ޑ‬                       ‫ޑ‬       ፄ                   ᚇ                   ‫܄‬
                Ψ               ό                       ࢂ                       Γ                       Ԗ                       ᆟஏ‫ޑ‬                                             ࡘགྷ‫܈‬੝ਸಞᄍ(ୃ                                                                                     ӳ       )
                Զ               ࢂ                           ࣮                       Γ                       ᜪ                       Չ       ࣁ                   ‫ޑ‬                   ᙁ               ൂ           ‫܄‬               ᆶ        ϕ       ୏               (ኳ ү ǵ၂ ᇤ ǵ፾ ᔈ                                       )
    Γᜪ                      ό                   ࢂ                           ᎞                       ౛                       ‫܄‬                       ࡘ               Ե                   ٰ                   Ꮲ               ಞ        ྎ       ೯               ‫ک‬ᇟ           ‫ق‬
                ᇟ                   ‫ق‬                           ࢂ                       ፾                           ᔈ    ၸ ำ                                            ‫ޑ‬                   ౢ                       ‫ނ‬               ǴΨ               ࢂ           ᄽ    ϯ           ‫ޑ‬       ၸ   ำ       ӵ   ݀       ೭       ᅿ       (Ⴃ ෳ )ԋ ф
                    ᡂ                   ԋ                           த                       ᄊ                           Ǵࡕ݀                                                 ё                   ૈ                       ཮           ࡐ ။                  ౦
    ѱ       ൑               ္                   Һ                           Ֆ                       ό                       ᘐ                       ᙯ               ᡂ                   ‫ޑ‬                   ࡘ               གྷ        ‫ߞک‬                      ‫ۺ‬       (ཀ ᛽ ࠠ ᄊ                         )ᡏ ‫ س‬Ǵ೿ ࢂ ‫ ॺ ך‬፾ ᔈ
Κ       ബ               ೷                   р                           ٰ                       ‫ޑ‬                       ౢ                       ‫ނ‬




                                                                                                                                                                                                                                                                                                                                              -19-

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Hidden logic

  • 1. ࢰ஼ѱ൑‫وޑ‬ӛ ӧፄᚇ‫܈‬όܴዴ‫ޑ‬௃‫ݩ‬ΠǴΓ ཮ ӵ Ֆ ຾ Չ ௢ ౛ ǻ ౜жЈ౛Ꮲ֋ນ‫ॺך‬ǴΓ ᜪ ‫ޑ‬ ᡄ ᒠ ௢ ౛ૈ Κ ѝ ࢂ ύ ΢ ำ ࡋǴԶ Ъ ѝ ଺ Α ፾ ࡋၮ Ҕ ՠ ‫ॺך‬ᒣ ᇡ ‫ ک‬ଛ ӝ ኳ Ԅ ‫ޑ‬ ૈ Κ ࠅ ຬ ம Ǵ೭ ᗺ ӧ ᄽ ϯ ΢ ߚ த Ԗ ճ Ƕ‫ॺך‬ಞ ᄍ ӧ ፄ ᚇ ‫ޑ‬ ୢ ᚒ ྽ ύ ‫ פ‬൨ ኳ Ԅ Ƕ -Brain Arthur ! ! " # $ % &' ( & )* + % &' , - # $- ! ( ( . # $ ( ! % &' / 0 )* + % ,' 1 ( . % ,' . 1 # $ 2 3 $ -1-
  • 2. LTCM Ϻ ω ‫ޑ‬Ѩ ௳ 1992ԃ12ДǴ‫ ܌‬ᛥ ߐ л ‫ ׌‬Ϧ љ ȐSalomon Brothersȑ߻ ဠ ٣ ཮ ୋ Ь ৢ ऊ ᑣ ఘ ճ ࠶ ྶ ȐJohn Meriwetherȑྗഢ ಔ ᙃ ΋ ঁ ფ Є ი ໗ Ǵ຾ Ε ߎ ᑼ ѱ ൑ ት ఠ Ƕ30ԃ‫ ޑ‬ᙍ ཰ ғ ఱ ύ Ǵఘ ճ ࠶ ྶ ࢂ ঁ р Α Ӝ ‫ ޑ‬᛾ ‫ چ‬Ҭ ܰ ଯ Ћ ǴΨ ࢂ ঁ ߚ Υ ‫ ߎ ޑ‬ᑼ π ำ ৣ Ƕ ! ! . # $ ( ! . # $ 2 ! ( . 4 32 $ 3 . . ( . . 5 . !! * $ 67 8 . .* $ 66 -2-
  • 3. LTCM Ϻ ω ‫ޑ‬Ѩ ௳ ఘ ճ ࠶ ȐJohn Meriwetherȑε ᖌ င ፎ Α ‫ ٿ‬Տ ᒍ ‫ ن‬ᅟ ዛ ள Ь Ǵ࿶ ᔮ ྶ Ꮲ ৎ ᗌ উ অ ථ ȐMyron Scholesȑ‫ک‬ᛥ դ ੝ ವ Ⴅ ȐRobert MertonȑǴ (Fischer Black ࡕٰ у Ε ) -3-
  • 4. LTCM Ϻ ω ‫ޑ‬Ѩ ௳ ި ౻ ‫ ޑ‬ሽ ॶ ᔈ ၀ ӝ ౛ Ӧ ϸ ࢀ ΋ ৎ Ϧ љ ᕇ ճ ‫ޑ‬ ወ Κ ‫ک‬ଛ ว ި ճ ‫ ޑ‬Н ྗǶԶ ΋ ҽ ᒧ ᏷ ៾ ࠨ ऊ ‫ ޑ‬ሽ ॶ ό ໻ ໻ ‫ڗ‬ ، ‫ܭ‬ ኱ ‫ޑ‬ ި ౻ ‫ޑ‬ ሽ ਱ ǴԶ Ъ ᗋ ᆶ ࠨ ऊ ‫ډ‬ය ߻ ‫ ޑ‬೭ ΋ ԃύ ǴΓॺ ჹ ި ౻ ሽ ॶ ᅍ ຳ ‫ޑ‬ ղ ᘐ Ԗ ᜢ Ƕ ၮ Ҕ ኧ Ꮲ ‫ע‬྽ ύ ‫ ޑ‬ό ዴ ‫ࡋ ۓ‬ ᕭ λ Ǵᡣ Ҭ ܰ ঩ ჹ ‫ܭ‬ ި ౻ ሽ ਱ Ԗ ᆒ ྗ‫ޑ‬ ղ ᘐ ٩ Ᏽ Black-Scholes Model LCTMҬܰ฼ౣ ࡭ Ԗ ೏ ե ՗ ‫ޑ‬ Ԗ ሽ ᛾ ‫چ‬ ȐEX:໒ ว ύ ୯ ৎ ว Չ ‫ޑ‬ ໸ ‫چ‬ ȑ ፤ ‫ ޜ‬೏ ଯ ՗ ‫ޑ‬ Ԗ ሽ ᛾ ‫چ‬ ȐEX:ऍ ୯ ࡹ ۬ Ϧ ໸ ȑ -4-
  • 5. LTCM Ϻ ω ‫ޑ‬Ѩ ௳ ଆ ߃ 1994‫5991ک‬೭ ‫ ٿ‬ԃེ ǴLTCM‫ ޑ‬ᵱ ‫ ׫‬ၗ ӣ ൔ ౗ ຬ ၸ Α 40ʘ Ƕௗ Π ٰ ‫ ޑ‬൳ ԃǴ௃ ‫ ݩ‬ຫ ٰ ຫ ӳ Ǵ‫ډ‬Α 1997ԃ‫11 ޑ‬ДǴLTCMૈ ୼ ӣ ൔ ๏ ‫׫‬ ၗ ‫ ޑ ޣ‬ຬ ᚐ ၗ ҁ ஒ ߈ 21ሹऍ ϡ Ƕ1998ԃ߃ ǴLTCM‫ ׫ע‬ၗ ಔ ӝ ቚ у ‫ډ‬Α 1300ሹऍ ϡ ǶǶ ࣮ ΢ ѐ ൩ ӳ Ⴝ LTCMว ౜ ࢌ ᅿ ё а வ ѱ ൑ డ ค ॥ ᓀ ᄧ р ᒲ ٰ ‫ޑ‬ ઝ ஏ 1994ԃΒДᕴၗౢ13ሹ ऍ ϡ 1994ԃࢂ 19.9% 1995ԃࢂ 42.8% 1996ԃࢂ 40.8% 1997ԃࢂ 17.1% LTCM‫ ޑ‬ၗౢᕴॶ ऊ 50ሹ ऍ ϡ ສ ී ߈ 1250ሹ ऍ ϡ ‫ ܫ‬ε ଄ ୍ ᄫ ఎ ຬ ၸ 20७ -5-
  • 6. LTCM Ϻ ω ‫ޑ‬Ѩ ௳ 1998ԃ12ДǴѱ ൑ ว ғ Α “ཀ གྷ ό ‫ ୏ ޑ”ډ‬ᑲ Ǵ೽ ϩ চ Ӣ ࢂ җ ‫ ߮ ܭ‬ᛥ ථ ‫ ܦ‬Ж ໸ ୍ ǴᏤ ठ LTCM‫ޑ‬ ሽ ॶ ཞ Ѩ Α 90ʘ Ƕҗ ‫ ܭ‬Ԝ ໨ ୷ ߎ ᝢ ॷ ‫ޑ‬ ၗ ߎ ຬ ၸ Α 1250ሹऍ ϡ Ǵε ฽ ‫ ޑ‬ᖝ ཞ ‫ ݢ‬Ϸ Α ӄ ౚ ࿶ ᔮ Ƕ ࣁ Α ᗉ խ ߎ ᑼ ѱ ൑ ‫ ׳‬ε ጄ ൎ ‫ ޑ‬஝ ༥ Ǵફ ऊ ᖄ ٖ ᓯ ഢ ሌ Չ ಔ ӝ Α 36ሹ ऍ ߎ Ǵ‫ ڐ‬շ Ờ ֚ Ƕ LTCMҬܰ฼ౣ ວ ຾ ߮ ᛥ ථ ࡹ ۬ ໸ ‫چ‬ (Ⴃ ය ΢ ᅍ ) ፤ ‫ ޜ‬ऍ ୯ ࡹ ۬ ໸ ‫چ‬ (Ⴃ ය Π ຳ ) ่ ݀ ၶ ‫ډ‬ ߮ ᛥ ථ ᐽ К ቃ ຨ Ǵ໸ ‫ چ‬ሽ ਱ ε ຳ ၗ ߎ ෢ Ε ऍ ୯ ࡹ ۬ ໸ ‫ چ‬Ǵ໸ ‫ چ‬ሽ ਱ ε ᅍ ่ ֽ ӧ߮ ᛥ ථ ‫ ک‬ऍ ୯ ‫ ٿ‬ᓐ ᝄ ख़ ᖝ ཞ Π Ǵ LTCMઇ ౢ Ǽ 16ৎ Ϧ љ ಔ ԋ ‫ ޑ‬ሌ Չ ი ӕ ཀ ቚ ၗ 36.25 ሹ ऍ ϡ ๏ LTCMǴ٠ ௗ ᆅ LTCM FEDӧ9Дǵ10ДϷ 11 ДӚ फ़ ৲ 1ዸ (0.25%) -6-
  • 7. LTCM Ϻ ω ‫ޑ‬Ѩ ௳ Ѩ ௳ ‫ޑ‬ ‫ޔ‬ ௗচ Ӣ ࢂ ߮ ᛥ ථ ϸ த ‫ޑ‬ ଄ ࡹ֚ ᜤǴؒ Ԗ ΋ ঁ Γૈ Ⴃ ਑ ‫ډ‬Ƕ LTCMϣ ೽ ‫ ޑ‬Γ ‫ ע‬೭ ൑ ߎ ᑼ ‫ ؠ‬ᜤ К բ ԭ ԃ΋ ၶ ‫ ܁ ޑ‬౦ ॥ ኪ Ǵᄛ ྄ Α д ॺ ֹ ऍ ค લ ‫ ޑ‬ᙔ კ ी Ⴤ ‫ ک‬ᆅ ౛ ೘ ᘻ Ƕ ਥ ҁ চ Ӣ ӧ Ӛ ᅿ ᜪ ࠠ ‫ ߎ ޑ‬ᑼ ѱ ൑ Ǵவ ફ ऊ ᛾ ‫ چ‬Ҭ ܰ ‫܌‬ ȐNYSEȑ‫ډ‬ ቺ ୯ ‫ޑ‬ DAXࡰ ኧ ǴӸ ӧ ๱ “ཀ ਑ ϐ Ѧ ”‫ ޑ‬ε ൯ ‫୏ ݢ‬ ਥ Ԕ ጕ ჹ ѱ ൑ ୏ ᑲ ‫ ޑ‬Ⴃ ी Ǵި ౻ ሽ ॶ ൂ В फ़ ൯ ၲ ‫01 ډ‬ʘ Ǵᔈ ၀ Ᏽ ដ ࠠ ѝ Ԗ ‫005 ؂‬ԃω ཮ ว ғ ΋ ԛ Ƕฅ Զ Ǵ౜ ჴ ‫ ޑ‬ኧ Ᏽ ࠅ ๏ р Α ΋ ঁ ‫ ׳‬ё ᎞ ‫ޑ‬ Ⴃ ෳ Ǻ‫ ؂‬ϖ ԃ൩ ཮ ว ғ ΋ ԛ ೭ ΋ ᓎ ౗ ჹ ‫ ܭ‬LTCMٰ ᇥ ϼ ‫ ז‬Α Ǵ٬ ள д ॺ ค ‫ ݤ‬ճ Ҕ Ҭ ܰ Ꮿ ౣ Ⴘ ۩ ၸ ᜢǴᝩ ុ ғ Ӹ Π ѐ Ƕ B-Sኳ ࠠ ‫ޑ‬ ख़ ा ଷ ೛ ި ౻ ሽ ਱ Չ ࣁ ܺ வ ჹ ኧ த ᄊ ϩ թ ኳ Ԅ ǹ ӧය ៾ Ԗ ਏ Ǵค ॥ ᓀ ය ϣ ճ ౗ ‫ک‬ ߎ ᑼ ၗ ౢ ԏ ੻ ᡂ ኧ ࢂ ࡡ ‫ ޑ ۓ‬ǹ ѱ ൑ ค ነ ᔔ Ǵջ όӸ ӧิ ԏ ‫ک‬ Ҭܰԋ ҁǴ‫܌‬ Ԗ ᛾ ‫ ֹ چ‬ӄ ё ϩ പ ǹ ߎ ᑼ ၗ ౢ ӧය ៾ Ԗ ਏ ය ϣ ค आ ճ Ϸ ‫ځ‬ Ѭ ‫ ܌‬ள (၀ ଷ ೛ ࡕ ೏ ‫ ܫ‬క )ǹ ި ሽ ࢂ ೱុ ‫ ޑ‬Ǵό཮ Ԗ ँ ว ‫܄‬ ި ሽ ၢ ‫ޜ‬ ௃ ‫ ݩ‬ว ғ -7-
  • 8. LTCM Ϻ ω ‫ޑ‬Ѩ ௳ 1963ԃǴୗ ቺ Ѳ ࢶ ੝ȐBenoit Mandelbrotȑჹ ޲ у ঢ ୘ ཰ Ҭ ܰ ‫܌‬ ‫ޑ‬ ා ޸ ሽ ਱ ‫ޑ‬ ੌ ୏ ௃ ‫ ଺ ݩ‬Α ࣴ ‫ ز‬Ǵд ૶ ᒵ Α ኧ В ‫܈‬ ኧ ‫ڬ‬ ‫ޑ‬ ሽ ਱ ৡ ౦ Ǵ ࣮ ࣮ ሽ ਱ ᡂ ϯ ‫ ޑ‬ᓎ ౗ ࢂ ࡛ ኬ ‫ ޑ‬Ǵฅ ࡕਥ Ᏽ ኧ Ᏽ ฝ р კ ‫׎‬ Ƕд ว ౜ Α ΋ ঁ ࡐ Ⴝ ႍ ࠠ Ԕ ጕ ‫ ޑ‬ኳ Ԅ Ǵՠ Ԗ ΋ ঁ ࡐ ख़ ा ‫ޑ‬ ୔ ձ ࢂ ˇ ˇ Ԕ ጕ ‫ޑ‬ “‫ ׀‬Ѓ ”ӧ फ़ Կ 0‫ ޑ‬ၸ ำ ύ К ႍ ࠠ Ԕ ጕ ‫ ׳‬጗ ᄌ Ȑ‫ـ‬ კ ȑǶ ؒ Ԗ Һ Ֆ ଄ ࿶ ౛ ፕ ૈ ୼ ှ ញ Ꮘ ԛ ‫ ࡓ ۓ‬ᆶ ࠆ ‫ ׀‬౜ ຝ ೭ ᅿ ౜ ຝ ᆶ ่ ݀ ё ૈ ٰ Ծ ‫ ཮ ޗ ܭ‬চ η ໔ ‫ ז ޑ‬ೲ ϕ ୏ ᆶ ፾ ᔈ Ƕ -8-
  • 9. Ϟ Ϻ ѐ ό ѐ Pubǻ ଚ փ ‫ޑ‬ Γό ࢂ ࡐ Ᏹ ᔒ ‫ޑ‬ ൳ ঁ ఁ ΢ Ǵ٥ ྶ ӧ ٗ‫ވ‬ ள ࡐ ໒ Ј ՠ ࢂ ‫ځ‬ д ਔ ং Ǵଚ փ ჴ ӧ ϼ ၸ Ᏹ ᔒ Ǵ০ ค ຀ ৢ ϐ Ѧ Ǵ඀ ዗ ‫ک‬Ꮣ ॣ з д Μ ϩ ᜤ‫ ڙ‬Ǵ‫ ځ‬д ΓΨ Ԗ ӕ ኬ ‫ ޑ‬ག ‫ ڙ‬Ƕ ό ۩ ‫ޑ‬ ࢂ Ǵ‫ޑ ڬ ؂‬ р ৢ Γኧ р Ε ࡐ ε Ǵؒ Ԗ ܴ ᡉ ‫ޑ‬ ኳ Ԅ ё ൻ Ǵ‫܌‬ а ، ‫ۓ‬ ѐ ‫ ۓ ، ܈‬ό ѐ ՟ Я ԋ Α ‫؂‬ ‫ ڬ‬Ѹ ໪ ଺ ‫ޑ‬ ΋ ၰ ᒧ ᏷ ᚒ Ƕд ࡐ གྷ ѐ Ǵ ՠ ࢂ ѝ Ԗ ӧ д ᇡ ࣁ ε ೽ ϩ ‫ځ‬ д Γ೿ ό ཮ ѐ ‫ޑ‬ ఁ ΢ ω ѐ Ƕ ‫ځ‬ д ഻ ៿ ٗৎ ଚ փ ‫ ޑ‬Γ೿ य़ ᖏ Α ‫ک‬д ΋ ኬ ‫ޑ‬ ᜤᚒ Ǵ‫؂‬ ঁ Γ೿ ၂ კ ଺ ε ӭ ኧ ‫ ځ‬д Γό ཮ ଺ ‫٣ ޑ‬ 89 $2 $ 8 -9-
  • 10. Ϟ Ϻ ѐ ό ѐ Pubǻ ‫ע‬El Farolଚ փ ‫ޑ‬ ៝ ࠼ Ӏ ៝ ౗ ࣮ բ ΋ ᅿ Ծ ฅ ౜ ຝ Ǵ٠ ଷ ೛ գ Ѹ ໪ ‫ פ‬р ࢌ ঁ ౛ ፕ ٰ у а ှ ញ Ǵٗ᥵գ ཮ ࡛ ᥵଺ ‫ګ‬ ǻ २ Ӄ Ǵգ Ѹ ໪ Ԗ ঁ ኳ ࠠ Ǵё а ኳ ᔕ Γॺ ӵ Ֆ ଺ ، ‫ۓ‬ ‫ ځ‬ԛ Ѹ ໪ ‫ޕ‬ ၰ д ॺ ࢂ ٩ Ᏽ ϙ ሶ ၗ ૻ Ǵٰ ղ ᘐ ଚ փ ࢂ ց Ᏹ ᔒ Ԝ Ѧ Ǵᗋ Ѹ ໪ Ե ቾ ‫ډ‬Ǵό ࢂ ‫؂‬ ঁ Γ‫ ޑ‬གྷ ‫ݤ‬ ೿ ࣬ ӕ Ǵό ӕ ‫ ޑ‬Γ཮ ਥ Ᏽ ό ӕ ‫ ޑ‬চ ߾ ٰ ଺ ، ‫ ۓ‬Ƕ 8 -10-
  • 11. Ϟ Ϻ ѐ ό ѐ Pubǻ ٥ ྶ ම ࿶ ᠐ ‫ډ‬΋ ጇ 60ԃж ᙑ ൔ ર ΢ ‫ޑ‬ Ў ക Ǵբ ‫ࢂ ޣ‬ Julian Feldman ຤ ᅟ ቺ ୗ ᇡ ࣁ ǴΓࡐ Ͽ ٩ ᎞ ᡄ ᒠ Ե ٰ ଺ ࡘ ، ‫ۓ‬ ǴԶ ೸ ၸ ᙁ ൂ ‫ ޑ‬ೕ ߾ Ϸ ჋ ၂ ᒱ ᇤ ᒱ ᇤ ύ Ꮲ ಞ ǹ੝ ձ ࢂ Γॺ ಞ ᄍ வ ᕉ ნ ύ ᒣ ձ ኳ Ԅ Ǵ٠ ճ Ҕ ೭ ٤ ኳ Ԅ Ⴃ ෳ ௗΠ ٰ ཮ ว ғ ϙ ᥵Ƕ ި ѱ ‫ޑ‬ ӭ ‫ޜ‬ ‫܈‬ ଚ փ ࢂ ց Ᏹ ᔒ Ǵ೿ Ӛ Ծ Ԗ ΋ ঺ ӝ Я ᡄ ᒠ ‫ޑ‬ ࣮ ‫ݤ‬ ‫܈‬ ኳ Ԅ Γό ࢂ ԝ တ โ ‫ ޑ‬໿ Ґ Ǵᒱ ᇤ ‫” ޑ‬౛ ፕ ”཮ ೏ ‫ ܫ‬క ΋ ૓ Γ‫ޑ‬ ᓐ တ ӧ ӕ ΋ ਔ ‫཮ څ‬ р ౜ ೚ ӭ ᅿ ଷ ೛ Ǵௗ๱ ӆ ਥ Ᏽ ྽ Π ന ӝ ౛ ‫ޑ‬ ଷ ೛ ٰ ଺ р ، ‫ ۓ‬Ƕ೭ ΋ ᗺ ᡉ ฅ ᆶ ‫ ޑ ॺ ך‬В த ࿶ ᐕ ࣬ ֍ ӝ Ƕ => ჋ ၂ ࣮ ࣮ Ǵӆ வ Չ ୏ ύ Ꮲ ಞ ᆶ ፾ ᔈ 8: ; . 8 : < < 8: 7 $& < -11- 77
  • 12. Ϟ Ϻ ѐ ό ѐ Pubǻ ᙖ ख़ ႝ တ ኳᔕ ᆶ ж ౛ Γ ന ӳ చ ҹ ǺΓኧ ό ӭ (<60Γ)‫ޑ‬ ௃ ‫ݩ‬ Π ‫ډ‬ଚ փ സ ΋ ݆ Ǵӵ ݀ Γϼ ӭ ߾ ࡑ ӧ ৎ ္ ೛ ‫ۓ‬ Ӛ ᅿ ଷ ೛ చ ҹ Ǵ٩ Ᏽ ന ߈ ൳ ຼ ‫ޑ‬ Ⴃ ෳ ่ ݀ Ǵᒧ Ҕ ന ӳ ‫ޑ‬ ΋ ঁ ٰ ، ‫ۓ‬ ѐ ‫܈‬ ό ѐ ΢ ‫ڬ‬ ؒ Ԗ ၸ ࡋ Ᏹ ᔒ ǵҁ ຼ ΋ ‫ۓ‬ ཮ Ᏹ ᔒ ೱ ុ Ο ຼ ၸ ࡋ Ᏹ ᔒ Ǵҁ ຼ ω ཮ Ᏹ ᔒ -12-
  • 13. Ϟ Ϻ ѐ ό ѐ Pubǻ ӧ ೭ ঁᖻ ֽ ္ ೿ གྷ ྽ Ͽ ኧ (ި ౻ ѱ ൑ ҭ ӕ )Ǻ ε ৎ ձ Γѐ ଚ փ ਔ Ǵ‫ ࡑ ך‬ӧ ৎ ္ (ϸ ϐ ҭ ӕ ) ଷ ೛ Ԗ ࢌ ᅿ ೕ ߾ ‫ ܈‬ኳ Ԅ ૈ ᡣ ࢌ ٤ Ͽ ኧ Γၲ ԋ а ΢ Ҟ ኱ Ǵ΋ ࢤ ਔ ໔ ࡕǴ‫ ځ‬д Γ཮ ‫ ݙ‬ཀ ‫ډ‬೭ ঁ ೕ ߾ Ǵ຾ Զ ፓ ፾ ‫ک‬௦ Ҕ Ԝ ΋ ೕ ߾ Ǵ‫ܭ‬ ࢂ চ ҁ ᕇ ճ ‫ޑ‬ Ͽ ኧ ᡂ ԋ ӭ ኧ Ǵ໣ ᡏ ‫ ޑ‬ፓ ፾ Չ ࣁ ᄛ ྄ Α চ ٰ Ԗ ਏ ‫ ޑ‬ኳ Ԅ Ƕ -13-
  • 14. ж གྷ ‫ݤ‬ VS໺ ಍ གྷ ‫ݤ‬ ໺ ಍ གྷ ‫ ݤ‬Ǻ Black-Scholes Model (LTCM) / CAPM ‫ ೌ מ‬ϩ ‫( ݋‬ጕ и )Ǻ࣮ ި ሽ ‫ و‬༈ კ ǵҾ კ ‫ פ‬р ኳ Ԅ ᔅ շ Ծ ρ Ⴃ ෳ ҂ ٰ ި ሽ ‫ و‬༈ =࣮ ၸ ѐ ଚ փ ‫ ޑ‬р ৢ Γኧ ٰ Ⴃ ෳ ҂ ٰ р ৢ Γኧ Ҕ ӕ ኬ ‫ޑ‬ ᡄ ᒠ ٰ ኳ ᔕ ި ౻ ѱ ൑ చ ҹ Ǻ ວ ‫ޑ‬ Γ>፤ ‫ޑ‬ Γ => ި ሽ ΢ ᅍ (ϸ ϐ ҭ ฅ ) ‫؂‬ ঁ ႝ တ ж ౛ Γ(‫ ׫‬ၗ ‫) ޣ‬ё а ௦ ‫ ڗ‬྽ ਔ Ծ ᇡ ࣁ ന ӳ ‫ޑ‬ ೕ ߾ ၸ ѐ ‫ި ޑ‬ ሽ ኳ Ԅ ཮ ቹ ៜ ‫ ׫‬ၗ Γ౜ ӧ ‫ ޑ‬Չ ࣁ ౜ ӧ ‫ ޑ‬ວ ፤ ، ฼ (ᆶ ‫ ٮ‬ሡ ό ѳᑽ)Ǵ཮ ٬ ި ሽ ౢ ғ ᡂ ୏ ౢ ғ Α ΋ ᅿ ό ᘐ ൻ ᕉ ‫ ޑ‬Ӣ ݀ ᜢ ߯ -14-
  • 15. ж གྷ ‫ݤ‬ VS໺ ಍ གྷ ‫ݤ‬ ި ౻ ѱ ൑ ኳ ᔕ ่ ݀ Ǻ ި ሽ ᕏ а ό ೕ ߾ ‫ޑ‬ Б Ԅ ΢ Π ᎜ ᎜ ᕏ ᡂ ౦ চ Ӣ ٰ Ծ ‫ ܭ‬ж ౛ Γ(‫ ׫‬ၗ Γ)໔ ‫ޑ‬ ϕ ୏ ᆶ ፓ ፾ ǹԶ ߚ Ѧ ೽ ፂ ᔐ(ӵ ߮ ᛥ ථ ໸ ୍ ֚ ᜤ฻ Ѧ ೽ ख़ ε ٣ ҹ ) ި ሽ ‫ ޑ‬ᡂ ౦ Ԗ “ࠆ ‫ ݀ ่ ޑ” ׀‬౜ ຝ ่ ݀ ఼ က ࠆ ‫׀‬ ౜ ຝ Ǵค ‫ݤ‬ ٬ Ҕ ౛ ‫܄‬ Չ ࣁ ຾ Չ ှ ញ ᔈ ၀ ”፾ ᔈ Ꮲ ಞ ”ٰ ‫ ڗ‬ж ό ӝ ౛ ‫ ֹ” ޑ‬ӄ ౛ ‫” ܄‬ ٬ Ҕ ࣮ ՟ ӝ ౛ ‫ޑ‬ ࠆ ‫ ׀‬౜ ຝ ࢂ Ծ ฅ ੌ ౜ Ǵό ࢂ Ѧ ೽ ፂ ᔐ‫ ܌‬೷ ԋ Ǵҭ ߚ Һ Ֆ ΓՉ ୏ ‫ૈ ܌‬ Ѱ ѓ ද ၹ Ӹ ӧ ‫ ܭ‬Ӛ ᅿ ѱ ൑ ‫ ޑ‬ሽ ਱ ε ൯ ‫୏ݢ‬ᡂ౦౜ຝǴଆ ྍ ‫ ܭ‬Γ ᜪ ‫္ ཮ ޗ‬ ‫୏ݢ‬ᡂ౦౜ຝǴ ‫ ޑ‬চ η Ǵӵ Ֆ Ծ ‫ ך‬ಔ ᙃ ԋ ࣬ ϕ ٩ Ӹ ‫ ޑ‬ಒ ጏ ኳ Ԅ Ƕ -15-
  • 16. ж གྷ ‫ݤ‬ VS໺ ಍ གྷ ‫ݤ‬ ഡ ճ ୗ Ǻ ੿ ҅ ख़ ा Զ Ξ Ԗ ཀ က ‫ޑ‬ ଷ Ǵ஥ Ԗ ೚ ӭ ᇥ ”ଷ ೛ చ ҹ ”… ଷ ᇥ ૈ ୼ а ࡐ Ͽ ‫ޑ‬ ܿ Ջ ”ှ ញ ”ࡐ ӭ ٣ ௃ Ѭ வ ࡑ ှ ញ ‫ޑ‬ ᕷ ᚇ ౜ ຝ ‫ ڬ‬ൎ Ǵ‫ ܜ‬ᚆ р ख़ ा ‫ޑ‬ ϡ ન Ǵ‫ך‬ ॺ ω ૈ ᙖ Ԝ ଺ р Ԗ ਏ ‫ޑ‬ Ⴃ ෳ Ӣ Ԝ ख़ ा ଷ ᇥ ౛ ፕ ེ ‫ޑ‬ ଷ ೛ ഋ ॊ ΋ ‫ۓ‬ ό ҅ ዴ ౛ ‫܄‬ Γଷ ᇥ ེ ‫ޑ‬ ᒱ ᇤ ଷ ೛ Γό ཮ Ꮲ ಞ Γό ཮ ‫ׯ‬ ᡂ Ј ཀ Γό ཮ ࢎ ೛ р ଷ ᇥ ٠ у а ෳ ၂ ό Ե ቾ ੿ ჴ Ш ࣚ ྽ ύ ‫ޑ‬ Γᜪ Չ ࣁ ੝ ፦ ଷ ೛ ”Γ‫ ޑ‬Չ ࣁ Ԗ ፾ ᔈ Κ ”ǴК ଷ ೛ ”Γࢂ ౛ ‫ޑ ܄‬ ”Ǵ‫ ׳‬ຠ ߈ ౜ ჴ Ǽ ѱ ൑ ౜ ຝ ᜤа ှ ှ ‫ک‬Ⴃ ෳ Ǵό ࢂ ঁ ᡏ ‫ޑ‬ ፄ ᚇ ‫܄‬ ǴԶ ࢂ ѱ ൑ ္ ೚ ӭ Γ ϐ ໔ ‫ޑ‬ ༾ ֮ ‫ރ‬ ᄊ ‫ک‬ಔ ᙃ ᜢ ᗖ ӧ ኳ Ԅ ǴԶ ߚ Γ Ǽ -16-
  • 17. ‫ޕ‬ ҂ ٰ ૈցႣෳ҂ٰ‫៏ݾޑ‬ ൳ Я ό Ӹ ӧ ё а ԋ ф Ⴃ ෳ ߎ ᑼ ѱ ൑ ‫ ޑ‬Б ‫ ݤ‬ǻ ࣽ Ꮲ ό ୼ Ӄ ຾ ǵ‫ ݩ ރ‬ϼ ፄ ᚇ Ǵό ‫ ى‬а ଺ р Ⴃ ෳ ǻ Ͽ ኧ ‫ ޣ‬ᖻ ֽ ‫ ঁ ؂‬Γ ‫ ؂‬ԛ ᒧ 0‫1܈‬ Ҟ ኱ ࢂ ԋ ࣁ Ͽ ኧ (ᒧ ‫ ډ‬ӭ ኧ Γ ؒ ᒧ ‫ ޑ‬ኧ ӷ ) ӧ Ͽ ኧ ‫ޣ‬ ᖻ ֽ ္ ǴΓ ኧ ቚ у Ǵ٣ ௃ ཮ ᡂ ள ࡐ ό ΋ ኬ ୖ ᖻ Γ ኧ ӵ ݀ ό ӭ Ǵ‫ ވ‬ৎ ‫ ฼ ޑ‬ౣ ό ӭ Ǵό ‫ ى‬а ఼ ᇂ ‫܌‬ Ԗ ё ૈ ‫ޑ‬ ኳ Ԅ ఼ ё Ⴃ က ǺԖ ෳ ‫ޑ‬ ኳ Ԅ (ѱ ൑ Ӹ ӧ ё Ⴃ ෳ ‫܄‬ )Ǵࠅ ؒ Γ ‫ ޕ‬ၰ =>่ ݀ (ѱ ൑ ሽ ਱ ᡂ ୏ )཮ ٩ Ᏽ ё Ⴃ ෳ ‫ ޑ‬ኳ Ԅ ‫و‬ ୖ ᖻ Γ ኧ ӭ Ǵ‫ވ‬ ৎ ‫฼ ޑ‬ ౣ ཮ ఼ ᇂ ‫ ܌‬Ԗ ё ૈ ‫ޑ‬ ኳ Ԅ ǴҺ Ֆ ё а Ⴃ ෳ ่ ݀ ‫ ޑ‬ኳ Ԅ ೿ ཮ ೏ ว ౜ ǴԶ Ъ ҥ ‫ څ‬௦ Ҕ ఼ က Ǻӵ ݀ ੿ ‫ ޑ‬Ԗ Γ ૈ ୼ ό മ Զ ᕇ Ǵ൩ ཮ ֎ Ї ‫ ׳‬ӭ Γ ຾ ΕǴՠ ‫ ؂‬຾ ٰ ΋ ঁ Γ ൩ ཮ ஥ ຾ ཥ ‫ޑ‬ ฼ ౣ Ǵ‫ ע‬೭ ٤ Ͽ ໆ ‫ޑ‬ ё Ⴃ ෳ ‫܄‬ Ӟ ௞ Ƕ (ѱ ൑ όӸ ӧ ё Ⴃ ෳ ‫) ܄‬ Damien Challet -17-
  • 18. ‫ޕ‬ ҂ ٰ ம ғ (Neil Johnson)Ǻ ӵ ݀ ѱ ൑ (ଽ Զ )Ӹ ӧ ё Ⴃ ෳ ‫ ܄‬ǴٗԖ ؒ Ԗ Б ‫ ݤ‬ё а ୀ ෳ ‫ډ‬ǻ ่ ݀ д ॺ ‫ ޑ‬ኳ ࠠ ё а ୀ ෳ р Ǻѱ ൑ ӧ ࢌ ٤ ਔ ‫ څ‬К ‫ ځ‬д ਔ ‫څ‬ ‫׳‬ Ԗ Ⴃ ෳ ‫܄‬ ё Ⴃ ෳ ୔ ໔ (฼ ౣ ኧ Ҟ ෧ Ͽ ) 2 0 % .* 5 $ 2 ! 8 Ԗ Γ ଏ р ѱ ൑ 0 . $ $ .' ೚ ӭ Γ ٬ Ҕ Α ӕ ኬ ‫฼ ޑ‬ ౣ ) 5 # $= В ༝ ի ऍ ϡ ༊ ౗ 4000ԛ ‫ޑ‬ ሽ ਱ ᡂ ୏ ᒣ ᛽ р ΐ Μ ӭ ঁ ё Ⴃ ය ୔ * $ ໔ǵΨ Ⴃ ෳ р ‫ځ‬ ᡂ ϯ Б ӛ Ǵѝ Ԗ ΋ ԛ Ⴃ ෳ ᒱ ᇤ ӵ ݀ ೭ ᅿ (Ⴃ ෳ )ԋ ф ᡂ ԋ த ᄊ Ǵࡕ݀ ё ૈ ཮ ࡐ ။ ౦ 2 .* 5 $ 8 ε Њ ௦ Ҕ Ԝ ΋ Б ‫ݤ‬ =>‫ ׯ‬ᡂ ѱ ൑ ҁ ፦ =>ᄛ ྄ ೭ ໨ ‫ ޑ ೌ מ‬Ⴃ ෳ 2 0 $ ૈ Κ ! ( . <7 7, * 8 * $ ! * 2 .* 5 $ # $ ( . % $ 0*' / -18-
  • 19. ᔈ ҁ ሦ ຬ ம ‫ޑ‬ᐒ ཮ Ь က ‫ޣ‬ ѱ ൑ Ⴄ ‫ڰ‬ Һ ‫܄‬ (ό ౛ ‫܄‬ )‫ ޑ‬ୢ ᚒ ᆶ ࠆ ‫ ׀‬౜ ຝ ‫ ޑ‬ှ เ ό ࢂ ঁ ᡏ ‫ޑ‬ ‫ޑ‬ ፄ ᚇ ‫܄‬ Ψ ό ࢂ Γ Ԗ ᆟஏ‫ޑ‬ ࡘགྷ‫܈‬੝ਸಞᄍ(ୃ ӳ ) Զ ࢂ ࣮ Γ ᜪ Չ ࣁ ‫ޑ‬ ᙁ ൂ ‫܄‬ ᆶ ϕ ୏ (ኳ ү ǵ၂ ᇤ ǵ፾ ᔈ ) Γᜪ ό ࢂ ᎞ ౛ ‫܄‬ ࡘ Ե ٰ Ꮲ ಞ ྎ ೯ ‫ک‬ᇟ ‫ق‬ ᇟ ‫ق‬ ࢂ ፾ ᔈ ၸ ำ ‫ޑ‬ ౢ ‫ނ‬ ǴΨ ࢂ ᄽ ϯ ‫ޑ‬ ၸ ำ ӵ ݀ ೭ ᅿ (Ⴃ ෳ )ԋ ф ᡂ ԋ த ᄊ Ǵࡕ݀ ё ૈ ཮ ࡐ ။ ౦ ѱ ൑ ္ Һ Ֆ ό ᘐ ᙯ ᡂ ‫ޑ‬ ࡘ གྷ ‫ߞک‬ ‫ۺ‬ (ཀ ᛽ ࠠ ᄊ )ᡏ ‫ س‬Ǵ೿ ࢂ ‫ ॺ ך‬፾ ᔈ Κ ബ ೷ р ٰ ‫ޑ‬ ౢ ‫ނ‬ -19-