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Modelli per il Calcolo del Value at Risk

Modelli per il Calcolo del Value at Risk

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VaR(<br />

N;<br />

=<br />

=<br />

In modo equivalente, <strong>il</strong> VaR <strong>del</strong> portafoglio può<br />

essere espresso nella forma:<br />

n<br />

i=<br />

1 j=<br />

1<br />

n<br />

n<br />

n<br />

X<br />

∑∑<br />

∑∑<br />

i=<br />

1 j=<br />

1<br />

)<br />

=<br />

n<br />

i=<br />

1 j=<br />

1<br />

( α N ( ω Π)<br />

σ )( α N ( ω Π)<br />

σ )<br />

( VaR )( ) i ( N;<br />

X ) VaR j ( N;<br />

X ) ρij<br />

α è <strong>il</strong> valore corrispondente al <strong>per</strong>cent<strong>il</strong>e <strong>del</strong>la<br />

distribuzione Normale r<strong>il</strong>evante <strong>per</strong> <strong>il</strong> VaR<br />

Slides AB <strong>Mo<strong>del</strong>li</strong> <strong>per</strong> <strong>il</strong> calcolo <strong>del</strong> <strong>Value</strong> <strong>at</strong> <strong>Risk</strong><br />

i<br />

n<br />

∑∑<br />

( −α<br />

)<br />

i<br />

2<br />

N<br />

( ω Π)(<br />

ω Π)<br />

σ<br />

i<br />

j<br />

j<br />

j<br />

ρ<br />

ij<br />

i<br />

σ<br />

j<br />

ρ<br />

ij<br />

27

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