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Méthodes numériques en finance

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12 AMÉLIORER LA PRÉCISION DES ESTIMATIONS 184<br />

Induction forward<br />

Induction forward<br />

−4 −2 0 2 4<br />

−4 −2 0 2 4<br />

0 1 2 3 4<br />

0 1 2 3 4<br />

Induction forward<br />

Induction forward<br />

−4 −2 0 2 4<br />

−4 −2 0 2 4<br />

0 1 2 3 4<br />

0 1 2 3 4<br />

Figure 127: Induction forward (algorithme d’Euler).<br />

Induction backward<br />

Induction backward<br />

−4 −2 0 2 4<br />

−4 −2 0 2 4<br />

0 1 2 3 4<br />

0 1 2 3 4<br />

Induction backward<br />

Induction forward<br />

−4 −2 0 2 4<br />

−4 −2 0 2 4<br />

0 1 2 3 4<br />

0 1 2 3 4<br />

Figure 128: Induction backward (simulation de ponts Browni<strong>en</strong>s).<br />

Arthur CHARPENTIER - Méthodes numériques <strong>en</strong> Finance

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