American equity option pricing

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American equity option pricing

Scott Sinclair-3
QuantLib developers,
I am relatively new to this community and was looking for some input on how to price an American equity option with both a time dependent interest rate and a time dependent volatility with discrete dividends using a trinomial tree.  Having studied the code a modest amount I believe this is something that can be done without significant code changes to the QuantLib code.  I have read some of the other posts and related articles about including discrete dividends.  Any suggestions about what a correct implementation of this in QuantLib would look like would be much appreciated.  Directions and classes that I could investigate further would also be appreciated.
Scott

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Re: American equity option pricing

jean-marc mercier
Dear Scott,

I am not really a Quantlib specialist, however I would suggest to use Partial Differential Equation (PDE) based solvers to
tackle your problematic. It depends upon your needs (professional,  research, scolar ?).

The built-in PDE Quantlib solver should be able to answer to your problem. Casewhere, I also developed a PDE solver using a different PDE approach, with or without Quantlib integration, that may be able to answer quite efficiently.

Jean-Marc


2008/10/12 Scott Sinclair <[hidden email]>
QuantLib developers,
I am relatively new to this community and was looking for some input on how to price an American equity option with both a time dependent interest rate and a time dependent volatility with discrete dividends using a trinomial tree.  Having studied the code a modest amount I believe this is something that can be done without significant code changes to the QuantLib code.  I have read some of the other posts and related articles about including discrete dividends.  Any suggestions about what a correct implementation of this in QuantLib would look like would be much appreciated.  Directions and classes that I could investigate further would also be appreciated.
Scott

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Re: [Quantlib-dev] American equity option pricing

Luigi Ballabio
In reply to this post by Scott Sinclair-3
On Sun, 2008-10-12 at 12:49 -0400, Scott Sinclair wrote:
> I am relatively new to this community and was looking for some input
> on how to price an American equity option with both a time dependent
> interest rate and a time dependent volatility with discrete dividends
> using a trinomial tree.

Scott,
        apologies for the delay. As you might have seen, the TrinomialTree
class provides most of the machinery---were it not for discrete
dividends.  They've been mentioned more than once here, but nobody went
and implemented them yet.  Ideally, they would be included in the
generation of the tree, but I'm not familiar with the techniques that
should be used for recombining.  Do you have any idea?

Luigi


--

All generalizations are false, including this one.
-- Mark Twain



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