Process with local vol only

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Process with local vol only

Lapin
Hi,

I have a calibrated local vol, but no implied vol.
I would like to register a process (BS type), that stil works in the MC
simulation framework.
Is it enough to create a derived class of GeneralizedBlackScholesProcess
class with the good constructor?

The diffusion method is already calling the local vol to diffuse the
underlying so in this case it should be enough.

Am I wrong?

cheers

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Re: Process with local vol only

Luigi Ballabio
On Mon, 2008-04-07 at 08:11 +0100, Guillaume Pealat wrote:

> I have a calibrated local vol, but no implied vol.
> I would like to register a process (BS type), that stil works in the
> MC simulation framework.
> Is it enough to create a derived class of
> GeneralizedBlackScholesProcess class with the good constructor?
>
> The diffusion method is already calling the local vol to diffuse the
> underlying so in this case it should be enough.
>
> Am I wrong?

No, I think you're right.  You might have to pay attention to what
happens when your process receives a notification from its observables,
though--it might try to recalculate the local vol from the (missing)
Black one. If this is the case, you'll have to override the update()
method in your derived class.

Luigi


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