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Estymacja lokalnej zmienności aktywów finansowych metodą numerycznej inwersji
publicité
INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE
Estimation de la volatilité locale d’actifs financiers
par une méthode d’inversion numérique
J. Frédéric Bonnans — Jean-Marc Cognet — Sophie Volle
N° 4648
Novembre 2002
ISSN 0249-6399
ISRN INRIA/RR--4648--FR
THÈME 4
apport
de recherche
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Unité de recherche INRIA Rocquencourt
Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France)
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35
0.8
30
0.7
25
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0.6
0.5
20
0.4
15
0.3
10
0.2
5
0.1
0
40
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60
80
100
S
120
3000
3
2500
2.5
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Fonction coût
3.5
2000
1500
1.5
1
500
0.5
5
10
15
Nombre d’itérations
20
25
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0
5
10
15
Nombre d’itérations
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0
30
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2
1000
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0
160
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3500
0
140
CED C
20
25
30
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0.6
0.5
0.6
0.5
0.6
0.5
0.6
0.5
0.4
0.4
0.3
0.4
0.4
0.3
0.3
0.2
0.3
0.2
0.1
0.1
0.2
1
0.2
1
0.8
0.8
160
160
140
0.6
0.1
100
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40
0.1
100
80
0.2
60
0
120
0.4
80
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140
0.6
120
0.4
60
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40
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0.9
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0.8
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0.7
25
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0.6
0.5
20
0.4
15
0.3
10
0.2
5
0.1
0
40
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60
80
100
S
120
3000
1.2
2500
1
Fonction coût
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1.4
2000
1500
500
0.2
10
15
Nombre d’itérations
20
25
30
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0.4
5
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1000
0
0
160
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3500
0
140
0
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0
5
10
15
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20
25
30
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0.3
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0.3
0.25
0.3
0.2
0.2
0.2
0.2
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0.1
0.1
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650
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600
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800
750
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550
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0.3
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0.3
0.25
0.3
0.2
0.2
0.2
0.2
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0.1
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0.2
0.2
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700
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600
550
0
750
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700
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1.5
800
750
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600
550
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500
0
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0.3
0.3
0.25
0.3
0.25
0.3
0.2
0.2
0.2
0.2
0.15
0.1
0.1
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0.05
0.15
0.1
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−0.1
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2
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2
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800
750
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0.3
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0.3
0.25
0.3
0.2
0.2
0.2
0.2
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0.1
0.1
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0.05
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0.5
600
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600
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550
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0.3
0.25
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0.2
0.2
0.2
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600
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0.3
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0.3
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0.3
0.2
0.2
0.2
0.2
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0.1
0.1
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600
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500
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800
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1
600
550
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0
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0.3
0.3
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0.3
0.25
0.3
0.2
0.2
0.2
0.2
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2
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600
550
t (an)
S
−0.15
700
650
0.5
600
550
500
750
1
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700
650
0.5
t (an)
0.1
0
4B0
500
0
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20
20
Sans multiéchelle
Avec multiéchelle
18
16
16
14
14
12
12
Fonction coût
Fonction coût
Sans multiéchelle
Avec multiéchelle
18
10
10
8
8
6
6
4
4
2
2
0
0
20
40
60
Nombre d’itérations
80
100
120
0
0
20
40
60
Nombre d’itérations
80
100
120
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Unité de recherche INRIA Rocquencourt
Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France)
Unité de recherche INRIA Futurs : Domaine de Voluceau - Rocquencourt - BP 105 - 78153 Le Chesnay Cedex (France)
Unité de recherche INRIA Lorraine : LORIA, Technopôle de Nancy-Brabois - Campus scientifique
615, rue du Jardin Botanique - BP 101 - 54602 Villers-lès-Nancy Cedex (France)
Unité de recherche INRIA Rennes : IRISA, Campus universitaire de Beaulieu - 35042 Rennes Cedex (France)
Unité de recherche INRIA Rhône-Alpes : 655, avenue de l’Europe - 38330 Montbonnot-St-Martin (France)
Unité de recherche INRIA Sophia Antipolis : 2004, route des Lucioles - BP 93 - 06902 Sophia Antipolis Cedex (France)
Éditeur
INRIA - Domaine de Voluceau - Rocquencourt, BP 105 - 78153 Le Chesnay Cedex (France)
ISSN 0249-6399