RE: [Quantlib-dev] RE: R: Credit default pricing / G2++ model

Posted by Toyin Akin on
URL: http://quantlib.414.s1.nabble.com/RE-R-Credit-default-pricing-G2-model-tp4102p4105.html

Hi,

Concerning the Bermudan FLT/FLT swap (or bermudan basis swaption) assuming
one leg is based on a LIBOR curve and the other on a BASIS curve, how does
one refer to each individual curve within a DiscretizedAsset class (assuming
that one wants to model the code similar to that of the DiscretizedSwap
class). Or is the infrastructure only suitable for only refering to a single
curve.

It looks like you need to model two G2++ objects and their joint dynamics.

Probably the logic presented within the beginning of Chapter 11 of
Brigo-Mercurio.

Best Regards,
Toyin Akin.


>From: "Toyin Akin" <[hidden email]>
>To: [hidden email],[hidden email]
>Subject: RE: [Quantlib-dev] RE: R: [Quantlib-users] Credit default pricing
>/ G2++ model
>Date: Fri, 07 Oct 2005 17:21:56 +0100
>
>
>Hi Marco,
>
>Ignore my comments on bermudan swaptions on FLT/FLT swaps where both legs
>are of the same currency. This can be defined, as you said, within a new
>class inherited from the DiscretizedOption class if pricing via the Tree.
>
>However can the same be said with FLT/FLT swaps with different currencies
>on each leg (including exchange of notionals)?
>
>Best Regards,
>Toyin akin.
>
>
>
>
>
>
>
>>From: "Toyin Akin" <[hidden email]>
>>To:
>>[hidden email],[hidden email]
>>Subject: [Quantlib-dev] RE: R: [Quantlib-users] Credit default pricing /
>>G2++ model
>>Date: Fri, 07 Oct 2005 08:54:53 +0100
>>
>>
>>Hi Marco,
>>
>>I too deduced that the main implementation was on page 149, but the
>>formula for M(0,T) is on pg 144. Thus I was refering just to this piece of
>>code.
>>
>>Thankyou for the explanation. I just wanted to know where the
>>simplification came from and now I know.
>>
>>As for the pricing of Bermudan swaptions on FLT/FLT swaps, surely some
>>modifications will need to be done within the G2++ class?
>>
>>In fact you would have 2 sets of logic, one for FLT/FLT (same currencies)
>>and one for FLT/FLT (different currencies). Or am I missing something...?
>>
>>A G2++ model is perfect for pricing bermudan options on swaps, where the
>>swaps have differing currency legs.
>>
>>Thankyou again,
>>Best Regards,
>>Toyin Akin.
>>
>>>From: "Tarenghi Marco" <[hidden email]>
>>>To: "Toyin Akin" <[hidden email]>
>>>Subject: R: [Quantlib-users] Credit default pricing / G2++ model
>>>Date: Fri, 7 Oct 2005 09:01:17 +0200
>>>
>>>
>>>Hi Toyin,
>>>for what concerning the implementation of the G2++ model, I have tested
>>>the QuantLib functions and I think they work quite well. The formulas in
>>>G2::SwaptionPricingFunction class you are referring to are those on page
>>>149 of the Brigo-Mercurio book and not those on page 144.
>>>Anyway they use the formulas on page 144, since mux_ = -M(0,T): the fact
>>>is that the expression of mux_ is obtained using the formulas on page 144
>>>but simply setting s=0 and t=T, so that the expression simplifies a lot.
>>>
>>>I hope I have been clear enough.
>>>
>>>Also, you are right: this class can price only vanilla options.
>>>Bermudan and/or amortizing swaptions can be priced using trees, and these
>>>are available in the G2 class: what you have to do is to implement a new
>>>Swaption class which has to derive from the DiscretizedOption class.
>>>
>>>Sorry for answering directly to you and not to the mailing list but I
>>>cannot do it with my office pc...
>>>I should do it from home
>>>
>>>Best regards,
>>>Marco
>>>
>>>-----Messaggio originale-----
>>>Da: [hidden email]
>>>[mailto:[hidden email]]Per conto di Toyin
>>>Akin
>>>Inviato: giovedì 6 ottobre 2005 17:26
>>>A: [hidden email]; [hidden email]
>>>Oggetto: [Quantlib-users] Credit default pricing / G2++ model
>>>
>>>
>>>
>>>Hi folks,
>>>
>>>Are there any plans to implement credit default swaps/options within
>>>QuantLib?
>>>
>>>I read somewhere, within one of the wilmott forums, that someone did
>>>actually have some working code. However I'm not too sure whether they
>>>are
>>>going to dedicate this code to the QuantLib project.
>>>
>>>I certainly would like to get a good handle on a C++ implementation of
>>>Credit derivatives as I'm pretty new to it, however I don't want to start
>>>a
>>>new credit project which could take months if someone else already has
>>>some
>>>working code.
>>>
>>>Also, I am stepping through the code of the G2++ model, comparing the
>>>math
>>>there to that of the Brigo-Mercurio book and all seems well apart from
>>>one
>>>expression that I can't get my head around.
>>>
>>>This concerns the code within the constructor of the
>>>G2::SwaptionPricingFunction class.
>>>
>>>There are expressions for mux_ and muy_ which I believe corresponds to
>>>the
>>>same expressions at the bottom of page 144.
>>>
>>>Taking just the mux_ expression, for example, I cannot match up the
>>>expressions within the book to that of the code. It's the 2nd and 3rd
>>>expressions of the formula (according to the book) that I am having some
>>>trouble matching up.
>>>
>>>Can someone confirm that the code here is correct and it's just a case of
>>>some smart mathematical  manipulation (My brain has already died after
>>>validating all the other parts of the G2 model!!).
>>>
>>>Also from my analysis, it looks like we can only price options on vanilla
>>>swaptions under this G2++ implementation, no variation of notionals
>>>(amortisation), coupons, or margins (spreads). This should be possible
>>>but I
>>>believe that the limiting factor is because it is based on a SimpleSwap
>>>object which does not allow for such rich definitions of a swap.
>>>
>>>Also, does anyone know what code changes would be needed to implement a
>>>bermudan swaption on a FLT/FLT swap? I don't think that the
>>>SwaptionPricingFunction class is valid for this type of structure.
>>>
>>>Very good clean code by the way...
>>>
>>>Best Regards,
>>>Toyin Akin.
>>>
>>>
>>>
>>>
>>>
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