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Méthodes numériques en finance

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11 MÉTHODES DE SIMULATIONS DANS LE MODÈLE DE BLACK & SCHOLES (1973) 156<br />

Frequ<strong>en</strong>cy<br />

0 200 400<br />

Frequ<strong>en</strong>cy<br />

0 200 400<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Distribution de U<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Distribution de V<br />

0.0 0.4 0.8<br />

−4 −2 0 2<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Uniform margins<br />

−2 0 2 4<br />

Standard Gaussian margins<br />

Figure 99: Simulation of the contercomonotone copula.<br />

Frequ<strong>en</strong>cy<br />

0 200 400<br />

Frequ<strong>en</strong>cy<br />

0 100 300 500<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Distribution de U<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Distribution de V<br />

0.0 0.4 0.8<br />

−4 −2 0 2 4<br />

0.0 0.2 0.4 0.6 0.8 1.0<br />

Uniform margins<br />

−4 −2 0 2 4<br />

Standard Gaussian margins<br />

Figure 100: Simulation of the Gaussian copula.<br />

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

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