RE: ??: [Quantlib-users] Least Square Mon teCarlo in Daily Range Accrual

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RE: ??: [Quantlib-users] Least Square Mon teCarlo in Daily Range Accrual

Perissin Francesco
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If the product is callable, then its value is equal to the difference between the non-callable product and the "callability option". On each call date, the callability option is worth as the maximum between (the non-callable product - 100) and the callability option itself (i.e., the owner of the option has on each call date the right to choose between either exercise or keep the option)
So, the underlying is the range accrual itself. You don't need MC simulations.
 
Hope it helps,
Francesco

 

-----Original Message-----
From: LE Ruiqi [mailto:[hidden email]]
Sent: venerdì, 21 maggio 2004 09:49
To: Perissin Francesco; [hidden email]
Subject: [Quantlib-users] ??: [Quantlib-users] Least Square MonteCarlo in Daily Range Accrual

Hi Francesco,
Thx very much!
Yes, the daily range accrual note can be seen as  series of digital option, so we can price it in a tree framework,
and the callable feature can be seen as bermudan swaption, but note that it is callable range note,
so the swaption embedded is a swaption in which the fixed coupon leg is unknow at first, that is the fixed coupon leg
on the swaption is path dependent,we should monte carlo the 6month Libor rate, and determine the fixed coupon leg latter,
how can it be priced in the swaptionpricer class?
Attached you can find the concrete terms for the daily range accrual swap.
 
 
Best
Le
 
-----原始邮件-----
发件人: Perissin Francesco [mailto:[hidden email]]
发送时间: 2004年5月21日 15:02
收件人: 'LE Ruiqi'; '[hidden email]'
主题: RE: [Quantlib-users] Least Square MonteCarlo in Daily Range Accrual

Hi Le
the easiest way to price such product is using a tree, and thanks to Quantlib I am successfully pricing, managing and trading callable range notes and other callable products since last year.

The only thing you have to do is to write the pricing code (on the tree) for the digital options embedded in the structure, then sum them up and apply the exercise conditions as already done in the swaptionpricer class.

Unfortunately, I cannot show you this code for the time being: so, good luck!

Francesco



-----Original Message-----
From: LE Ruiqi [[hidden email]]
Sent: venerdì, 21 maggio 2004 04:58
To: [hidden email]
Subject: [Quantlib-users] Least Square MonteCarlo in Daily Range Accrual


Hi All
Recently days, I am to price the daily range accrual with early terminatin clause, since it is pathdependent with bermudan feature, it should be priced using the Least Square MonteCarlo, but unfortunately I found that the quantlib file for least square method only applies to stock derivatives, not IR derivatives. Am I right? Is there anyone can tell me how to implement the coding for IR derivatives using the Least Square method? Thx a lot Best

Le


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