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Irrational Financial Markets

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To cite this document:

Germain, Laurent and Rousseau, Fabrice and Vanhems, Anne

Irrational Financial Markets. (2007) In: Congrès international de l'Association Française

de Finance (AFFI 2007), 27 June 2007 - 29 June 2007 (Bordeaux, France).

(Unpublished)

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oulouse

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OATAO

)

OATAO is an open access repository that collects the work of Toulouse researchers and

makes it freely available over the web where possible.

This is an author-deposited version published in:

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Eprints ID: 5807

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administrator: [email protected]

(2)

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(3)

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(4)

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(5)

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(6)

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(7)

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(8)

9 5 9$2 D' @ # # ( $ # " ' @ ' ' 5 $ = ' @ ' # = " BD 0 1 ' D 0 1 % ( J K ' 0 1 $ 0 1 5 C$ A = ' :9 ; 5 0 1 0 1 @ 9 ' @ 9 5 ." " @ $ ' @ 5 " " . " % J K ' 0 1 5 ' " ' 9 = ' # ' @ $ " " ? # # " 9 # " " " # $ 9 5 = = 5 ' " ' 9 9 # # F ' # ' @ $ ( 9 # 5 ' = " ' # " # $ D 0 1 9 " " 5 G 9 "( " ( 5 < 5$ ' "" # G 9 9 9 # ' @ " ' ( # " 9 # ' 5 G # $ A @ ' @ # G 9 "" " # 9 ' @( 2 J5 $ 0 1 ; 0 1 = " # ( 5 5 ' @ # " ' $

(9)

# $ 5 ' @ 9 G # ( 5 = ." # # $ ? D 0 1 = = ." # $ 5 9 # ' 5 ' " 9 59 ( 5 " " 9 " 9 5 = " 9 5 & ( 0 ' @ > @ 1 L" ' M 0 " 1$ ' " 9 ' # $ @ 9 # " " ' " # = ( 5 $ 0 1 = # " " # 5 . 5 0# ' D 0 1 A 0 11$ ( 9 = 0 1 0 1 # ( ( ' 5 ? 5 0 1 A 0 1 A 0 1 # # ; 0 1 # " $ " = = # . # " 9 5( # ' 5 @ $ 9 5 ( 9 " # " # $ . # # 5 # @ 9 " 5 5 F 5 $ 8 G 5 = " D 5 < '

(10)

D *33, , D F " = " 5 $ " 5 5 ' # 5 ' # ' @ $ A =( ' " " 9 # . ' ' . @ $ 5 ' # # ' # @ " 9 ( " $ # = 5 9 = ' . " " 9$ !. ' ' = = # B = 0 1C ." 9 " # ' @ $ ; " 5 ' # ' ( 9 9 = F ' # @ B 0 1C$ A = ' = = ' 9 = F " ' ' # " # $ " " # # = $ . 5 " 5 = @ # G # $ ' # $ = ' , 59 " . # ===$ $ > ' " $ 9 ' # . 5 ' # " =$ D @ 9 " " F $ " ' 9 L 5 ' 9M = # # 9 $ 3

(11)

G = $ < $ " # 5 "" .$ ; 9 @ = ' . 5 9 = # ' # = = < ' $- " " 5 # # $ # ( = < # 9 ' = < ' $ # # = 9" & $ = $ 9" # ' " ' # $ $ 9 ' 9 5 # # ' # 9 = = 9" # ? # 9 ( # 9 ' 0" # 1 5 ' $ " 9 = " 9 5 & " >" -" # $

(12)

= ' @ > @ $ ; @ " 0" 1 = # # " # $ " 0" 1 0 ' ( 1 9 ' ' # 0= # " = 5 ' # " 1$ " 9 5 # # ' # " ( # # # " ' 5 $ # 9 ' @( > @ ' # 5 # = = 5 # = 5 = " L ' 5 M ? $ ; 0 1 ' L 0 = 1( ( ' 5 M$ " ( " & " 9 ' @( = " 9 @ $ ; ' " ' ' $ " " 5 # 9" $ $ 9 " ' = ' = 9$ # = " 9 # $ A = ' 9 " ' # 5 # $ **

(13)

59 # 5 # # $ 59 # 9 @ & # $ 9 ' " ' 9$ ' 55 5 N = # 5 " $ # $ 5 " :9 0 1$ ; = 5 ' @ # G # $ " # ." #

(14)

" 5 ' # ." # 9 $ " = 9" $ ' 5 = # = 9" # $ ' 5 9 5 9 " # " $ = ' G = ' # " @ ' $ @ $ ; = < G $ 0*1 ! *+

(15)

" "" .$ " " ' 9 ( $ = ' @ 0= ( ' (1 L > = ( ( ' 5 M $ $ ' # @( $ D 9 ' 5 @ L > = ( ( ' 5 M ' # ' @ $ 9 5 ( " ' " " ' 0 1 @ ( @ = 0 1$ ' ' # @ $ G G ' 9 :9 ; 5 0 1$ A =( ' = . = = ' 5 " 9 # = = # 5 5 ' # " # $ " # # " # $ " # " N N = = 9 9 5 = " 0 5 ' # 1$ ' = " " $ # " " :9 ; 5 0 1$

(16)

G . # 0*1 @ $ " = = "" 9 @ G 9 = 5 ' $ ." " @ " # $ ; @ :9 ; 5 0 1 = 9 5 G 9 " # $ 9 "" # 9 ' @ $ @ ' ' 5 G # ' " # $ ' # " " " ." " @ $ = $ @ 5 " # 9 ' # # $ # # " # 9 ' " # N = 5 # " " # # 5 9 # = 5 " $ ; = = = 5 $ " ' # # $ ' # 9 " ' 5 " ' ." ' # # " # $ ! ' # *2

(17)

; " # 9 ' # $ ? ' " ? # # # $ ; " " L > = ' 5 M ? $ # " " = 5 9 L' " M # L ( ( ' 5 M L' " M # L = ( ( ' 5 M $ @ L' " M L ( ( ' 5 M = ' ' # " # 9 $ $ $ ' " L = ( ( ' 5 M ' ' 5 $ $ $ # " ' $ # 9" $ 9 9 ' " ' 9$ 0 1 #

(18)

! " 0+1 ! $ % & "" .$ ; @ 0 1$ ." ' " . # ( . # G = " ' $ ." # = $ ' " " # " # ' " ' # ( 9 $ G H " 55 ' 9 " $ # " 9 5 9 " 9 5 ( . # G 9 $ . "" ? " # ' " ( # ." # ( . # G 9 $ ; = ? # F " " *

(19)

' # " $ # 9 " " # $ 0 1 ' ' # " N 0 1 N = = " 0" 1 " $ A = ' # # " # = ? 9 = # # # " # $3 # = ? < 5 # # $ ." 9 = # = " $ " 9 $ " ' ' # " = 5 9 ' ." # 9 5 9 $ " 9 5 < # " " 9 " " $ A = ' ? # ' # " 5 9 ? # F " " # ." $ ; ' "" # # " # 5 # ? " # F " " $ 5 # # " # 0" ' # = " 1$ ; # ? # F 5 # # $ # F " " 5 5 ? " # = " 3 ; " ' # G # " " $

(20)

$ # ' 9 F " " 5 5 " # $ " 9 " 9 " 9 5 $ = " " # 9 F ' ' # " $ 9 5 # " $ A = ' 5 = " # 9 9 # $ = 0 1 < ." " @ $ A = ' = 9 ." " @ #( # # < $ # ' ? F ." " @ $ # = 5( 5 5 N =$ 5 # ' 5 ? ' ? F ." " @ $ ? # " ( " # " 5 5 # $ # "" # ." " @ ( 0 5 ' 1$ # 9 " " F ." $ # = 5 < = = " # ' *3

(21)

; ' " # 9 ' # F " " F ." " @ " ' 5 ' $ " # $ G # = = " ( # $ ; 0+1 G ' # " " " 9 5 ' 5 $ ' " = F F " " F # ' $ " " # $ ? " 9 ? # $ " # # # 9 5 G $ # # F ' ' = ' & $ 9 ." 9 9 ' @ 9 (

(22)

5 G 9 0 1$* # # " # # 9 ? $ % 9 # " 9 ( 5 G 9 " 0 1$ 5 5 5 G 9$ ' 9 ' @ 5 9 9 5 G 5 ' = G 9 . 9 # $ 9 ' @ # 9 5 G $ @ 9 " ' # 0 1 " 9 5 # ( @ " # $ A = ' 5 @ G 9 ' ( 5 " " # " " # 0 1$ # ' E 9 ? # 5 # " # G 9 " # = 5 # @ $ * " ' 5 G ' $ " " # 55 5 N = " # = 5 " $ *

(23)

!! " # $ % & $' " ' ' 0 ' 1 = 0 1$ " ! 0 1$ 5 # = $ .( ' 9 " E 9 = $ " = = " = " ( $ # " 0" 1 " 0 1 55 ' 9 9 5 0 51 G 9 ( " 9 5 0 51 5 9$ .( ' 9 ? " ? 5 9$ 5 5 = " E 9 # F 5 9 ' 9$

(24)

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H ' # " = ' # 9$ D 9 " ' ' " # 9 " # # . " $ ; = ." ? # # " @ 5 9 5 ' $ "( ) & ! ' ( $ " ! $ "" .$ = = # ' @ 5 ' 0 D 0 1 ' D 0 1 :9 ; 5 0 1 0 1 5 1$ ; @ = 0 1 = " ' 0 1$ 5 ' = @ = = ' @ $ = # = 5 @5 $ +

(25)

κ κ 2 4 6 8 10 5 6 7 * ) + !." ' # # ' ' # ' @ = 0 1 $ = $ A = ' = 9 5 $ D " 5 ' # ' # . ' # ' @ $ ; 5 ' ( # 0 ( " 1 # ' ' # @ $ ' ' # @ ' $ ; 5 # 0 1 $ $ 5 # # 5 ' 0 = " 1 " " # 0 1$ ? # 9 $ " 9 # ' $ # 5 ' # 9 " ' # = 5 5 @5 =$

(26)

5 10 15 20 55 60 65 κ κ * ) + !." ' # # ' ' # ' @ = $ = $ ." # 5 " 5 # ' 5 5 5 5 ' = @ 0 @5 =1$ 2

(27)

κ

0.5 1 1.5 2 10 15 20 25 30 35 40 κ κ * ) + !." ' # # ' ' # ' @ = $ = $ # = 5 @ = . ' ' # @ 9 " 5 ' $$ G = . ' ' ' 9 ' ( @ @ " 9 . # ' D" L 5 ' 9M 9 9 ' # @ $ ." ( "" # @ $ 0 1 $

(28)

,

-; ' " # @ = 5 = 9 = $ ; = = " ' 5 ." # " ' ' # ' 9 # " ' 5 $ G " 9 #( # " 9 5 & " > " 0 " " # 1 @ > ' @ 0 " " # ' # " ' # 1 > = ( ( ' 5 ? 0 " " # ' # " # 1$ ; 9 = @ = 9 $ G ' 9 :9 ; 5 0 1$ 7 ' = . 5 = ? 0 1 = 5 " 9 # = 0 1 = = ' # ' # " # $ ; = = ' " . ( . # G = ' " ' $ # ? ? 9 $ ' 5 ." " #( = $ " F ." " @ $ ' = 5 ." " @ # $ ; =

(29)

9 @ " # $ # " " $ 9 ( "" # # " # $ 5 = $ ' = = ." # $ D 0 1 " " 5 "" # G 9$ A = "" ' @ = # "" " # 9 # $ ; = ' ' 9 5 ( # # F ' ' # @ $ D " 5 ' # ' # . ' # @( 5 = @ $ G = ' 5 ' ' @ @ $ G " 9 . # ' D" L 5 ' 9M 9 9 ' # @ $ ." "( " $ D " 5 ' # ' 9$ 5 . # = = " = @ 9 5$ # . # " ? # # 9$ # # # $

(30)

.

" ' *$ / !+ ' ." # 9 9 55 5 N = G . < ." " @ 5 # # " = # # ' ." " 5 @ ' 5 # = 041 3

(31)

; = " $ D 5 ' ( 9 # ' = ' " = " $ ' = " 5 ." # ." # # 041 #9 5 " = ' 021 0,1 @ $ 9 ' . < ." " @ $ ' @ # " # ' F 0 1 0-1

(32)

@ $ ' " ' 9 " #$ ' ." # 55 5 N = " # " 5 ' 9 031 0* 1 ' 5 ' 9 # . G @ 9 G 021 0,1 0 1 0-1 031 0* 1 # . = # # +*

(33)

# $ + ." " @ # 9 % = ' ." # # " @ # # ." " @ G ' " ' < = # 5

(34)

." " @ # # 8 5 ." # # " @ = # 9" # A ' 5 ." # ." " @ # # = " $ ; " ? ." " @ $ ' ' ." @ 5 5 # G ' @ 5 5 # ++

(35)

5 # = " ' " ' ." G 0**1 ; ' ." 0**1 # 5 # = 0 1 = ' 0 1$ ; ' 0**1 = " ' $ D " ' = 9 5 # $ 9 # ' = ' # 9 # ' = $ ' ." # F ." " @ # 5 ' ." " @ $ " ' *$ / !+ # . < 5 ." 9 = 5 # ? "

(36)

" #$ = "" ." ' ' " 5 ' = 5 # # $ ' F ' " " = 0* 1 0*+1 ' 5 ' 9 # . G = . = # # +2

(37)

# $ = " " " # .( " " @ # $ F ." " @ G 5 # = = ." " @ # G 9 G $ ) 5 ." # # = 9" # # G 9 ." ' # " 5 # #

(38)

# = ! $ " # ." " @ 5 # = # = " " " $ + ' 5 ' 9 ' # # = ' 9 # = +

(39)

$ = = # & ! $ ." ' 5 ' @ ." ' G ' ." # = # ." '

(40)

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$ $ A :$ < $ ) 5 $ LI 5 D' @( #( 5 5 ) # !." M ) * + $ 7 $ 0 1$ $ L 55 ' ' ' # D' @ M , - . $ 0 1 ( $ @ $ $ 9 $ ;$ 7 $ L8 D' % @ M , - . $ 0 1 ( $ % J I$ I$ K ' $ L " 5 5 D' @ ( M , - . $ 0 1 ( $ :$ $ A # $ 9 $ L ' ) 9 59 9 8 ( D' M , - $ 7 $ 0 1 ( $ 5 I$ $ $ # $ A$ $ I$ ; $ L7 M , / * $ 7 $ 0 1 ( $ ;$ $ $ L D' OM , - $ 0 1 ( $ = I$ $ $ L7 5 5 ) # 5 ! ; # M , / * $ 7 $ 0 1 ( $ ' $ $ D $ L 5 % @ M ) -+3

(41)

+ $ 7 $ 0 1 ( $ $ $ ; $ LD' @ 5 M 0 ) ) 5 0 1$ = $ $ 7 5 $ L ." ' M 0 1$ A $ L # " & D 5 M 1 , + / 0 1 ( A $ L ) 9 59 # ( 5& "" 5 5 ' 9 M , / - ' . 0 1 ( $ A $ LD' @ 5 ! " "& % 5 ' % ) ( 5 M 2 * 3 $ 0 1$ A $ L; 9 % !' ! 5 % " ' D"( % !' M ) + / % & $ L 5 !. 5 !." & ' 9 M 3 ' * ) $ 0 1 ( $ : 7$ L ' 5 !." # ! ( !. 5 # D" ) M ; 5 ) " ;)> 4>*3, 0 1$ :9 $ $ L% 5 M * $ 7 $ 0 1 ( $

(42)

:9 $ $ $ $ ; 5$ L " " 9 = 5 5 & % D' @ ' ' M , -$ 7 $ 0 1 ( $ 5 !$ L # % M , / + / ' $ 0 1 ( $ $ $ 7 $ 7 5 $ L 7 ( M " $ 7 $ 0 1 ( $ D $ %$ D $ LD' @ % 9 M 0 1$ D $ L ' < O M , - $ 7 $ 0 1 ( $ D $ L 9 ) ) @ ; ' ' 5 M , - $ 7 $ 0 1 ( $ D $ L ' M 3 * ) $ 7 $ 0 1 ( $ J5 $ $ A $ % $ $ LI 5 D' ( @ & D ) ' 9O M 0 1$ I$ L 5( ) # # ) D? 5 M , - $ 7 $ 0 1 ( $ I$ )$ $ L% @ ( 5& A = 5 !' 9 M & ) 0 1$ $ L ) ' I @ 9 G % 5 ' O M 3 * ) $ 0 1 ( $ 4*

(43)

$ L% ' ) % ' ' M , - $ 7 $ 0 1 ( $ 7$ $ L # " * M A = & ) ( 5 0 1$ 9 $ I$ =$ L ; ( 5& ) 9 5 ) " ' A M / 1 $ 0 1 ( $ 9 $ I$ = $ L) ' ; ( 5 ' " ( 5 M / 1 $ 0 1 ( $ ; 7$ L8 D" # !' M , / + / $ 0 1 ( $ ; :$ L 5 9 F A ' ' M , - $ 7 $ 0 1 ( $

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