Modelli per il Calcolo del Value at Risk
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 />
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